1. Curriculum Team Scope and Sequence Team
  1. ? ?
    1. I.  District Philosophy
    2. I. District Philosophy
    3. Health, Physical Education, and Home Economics
    4. Mathematics, Science, and Technology
    5. English Language Arts
    6. Languages Other Than English
    7. The Arts
    8. Career Development and Occupational Studies
    9. Social Studies
        1. 1. Problem Solving, Numbers and Algebra
    10. I. Problem Solving, Numbers, and Algebra
          1. B. Unit Assessment
          2. C. Rubric
          3. D. Activities
          4. E. Vocabulary
  2. Glencoe Mathematics Applications and Connections, Course 1
          1. B. Unit Assessment
          2. C. Rubric
          3. D. Activities
          4. E. Vocabulary
  3. Glencoe Mathematics Applications and Connections, Course 1
          1. B. Unit Assessment
          2. C. Rubric
          3. D. Activities
          4. E. Vocabulary
  4. Glencoe Mathematics Applications and Connections, Course 1
          1. B. Unit Assessment
          2. C. Rubric
          3. D. Activities
          4. E. Vocabulary
  5. Glencoe Mathematics Applications and Connections, Course 1
          1. B. Unit Assessment
          2. C. Rubric
          3. D. Activities
          4. E. Vocabulary
  6. Glencoe Mathematics Applications and Connections, Course 1
          1. B. Unit Assessment
          2. C. Rubric
          3. D. Activities
          4. E. Vocabulary
  7. Glencoe Mathematics Applications and Connections, Course 1
          1. B. Unit Assessment
          2. C. Rubric
          3. D. Activities
          4. E. Vocabulary
  8. Glencoe Mathematics Applications and Connections, Course 1
          1. B. Unit Assessment
          2. C. Rubric
          3. D. Activities
          4. E. Vocabulary
  9. Glencoe Mathematics Applications and Connections, Course 1
          1. B. Unit Assessment
          2. C. Rubric
          3. D. Activities
          4. E. Vocabulary
  10. Glencoe Mathematics Applications and Connections, Course 1
          1. C. Rubric
          2. D. Activities
          3. E. Vocabulary
  11. Glencoe Mathematics Applications and Connections, Course 1
          1. C. Rubric
          2. D. Activities
          3. E. Vocabulary
  12. Glencoe Mathematics Applications and Connections, Course 1


Wayne Central School District
Ontario Center, NY 14519
 
 

 
 
 
 
 
SIXTH GRADE
Draft


 
 
Revised: June 12, 2001
August 6, 2001
 

 


Curriculum Team Scope and Sequence Team



Curriculum Team  Scope and Sequence Team

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TABLE OF CONTENTS
 
 
 


I.  District Philosophy



I.  District Philosophy
 
II.  District Mission Statement
 
III.  NYS Learning Standards
 
IV.  Commencement Outcomes
 
V.  Scope and Sequence
 
VI.  Course Overview with Major Topics
 
VII.  Instructional Outline
 
VIII.  Course Benchmarks
 
IX.  Units of Study:
 
Unit One: Problem Solving, Numbers and Algebra
Unit Two: Statistics: Graphing Data
Unit Three: Adding and Subtracting Decimals
Unit Four: Multiplying and Dividing Decimals
Unit Five: Using Number Patterns, Fractions, and Ratios
Unit Six: Adding and Subtracting Fractions
Unit Seven: Multiplying and Dividing Fractions
Unit Eight: Geometry
Unit Nine: Geometry (Area and Volume)
Unit Ten: Equations
Unit Eleven: Probability
 
X.  Course Assessment
 
XI.  Curriculum Review Process
 


I. District Philosophy



I.  District Philosophy
 
 

The Wayne Central School District believes that the goal of education is the all-around development of each student. The role of the school is to enable individuals to develop to their fullest potential.
 
T he school, in cooperation with the home and community, will assist the student with intellectual, social, cultural, emotional, physical and moral growth. The school should help create within each student an awareness of civic responsibilities and respect for authority to assist the student in becoming a well-integrated, responsible person capable of assuming a vital role in an evolving civilization.
 
The Wayne Central School District subscribes to the general theory of individual differences; namely, that each student is an individual and has innate abilities, ambitions, and emotions. In the process of educating this individual, the program should provide a challenge while reflecting a concern for needs based on individual capabilities.
 
The Wayne Central School District further subscribes to the following fundamental principles:
 
1.  Children, regardless of potential, are capable of learning and acquiring the skill and knowledge needed to function to the best of their ability in our society,
 
2.  Our responsibility is to see that children learn. The energies of all participants should be focused on achieving the desired outcomes. Accountability does not end with following established rules and procedures; its essence is found in results,
 
3.  Minimum competence, while necessary, is not enough. Successful participation in our society demands much more. All children are entitled to approved curriculum, to instructional methods, and to expectations that challenge them to perform at their best, and help them to become truly proficient in knowledge and skills,
 
4.  Every child in New York State is entitled to the resources necessary to provide the sound, basic education that the state constitution requires,
 
5.  Each participant in the educational system should have the opportunity to effectively discharge his or her responsibility, and each participant should be held accountable for achieving desired results. This principle applies to all participants in the educational process – students, parents, teachers, counselors, librarians, administrators, the Board of Education, and others,
 
6.  Achievement of desired results by individuals and groups should be rewarded. Creativity in our students needs to be nurtured and encouraged. Occasional failure in a large and diverse system us probably unavoidable. However, failure should not be permitted to persist. When it occurs, with either individuals or groups, help should be provided and the situation changed.
 

II.  District Mission Statement:
 
Based upon the belief that all students can learn, the staff of Wayne Central School district accepts the responsibility to teach all students regardless of differences, the fundamental skills. We further accept the responsibility to challenge all students to attain higher levels of achievement. Wayne Central will provide the opportunity, environment, and encouragement to meet this goal while developing the whole child physically, emotionally, and culturally.
 

III. NYS Learning Standards:
 


Health, Physical Education, and Home Economics



Health, Physical Education, and Home Economics
1.  Personal Health and Fitness – Students will have the necessary knowledge and skills to establish and maintain physical fitness, participate in physical activity, and maintain personal health.
2.  A Safe and Healthy Environment – Students will acquire the knowledge and ability necessary to create and maintain a safe and healthy environment
3.  Resource Management – Students will understand and be able to manage their personal and community resources.
 


Mathematics, Science, and Technology



Mathematics, Science, and Technology
1.  Analysis, Inquiry, and Design – Students will use mathematical analysis, scientific inquiry, and engineering design, as appropriate, to pose questions, seek answers, and develop solutions.
2.  Information Systems – Students will access, generate, process, and transfer information using appropriate technologies
3.  Mathematics – Students will understand mathematics and become mathematically confident by communicating and reasoning mathematically, by applying mathematics in real-world settings, and by solving problems through the integrated study of number systems, geometry, algebra, data analysis, probability, and trigonometry.
4.  Science – Students will understand and apply scientific concepts, principles, and theories pertaining to the physical setting and living environment and recognize the historical development of ideas in science.
5.  Technology – Students will apply technological knowledge and skills to design, construct, use, and evaluate products and systems to satisfy human and environmental needs.
6.  Interconnectedness: Common Themes – Students will understand the relationships and common themes that connect mathematics, science, and technology and apply the themes to these and other areas of learning.
7.  Interdisciplinary Problem Solving – Students will apply the knowledge and thinking skills of mathematics, science, and technology to address real-life problems and make informed decisions.
 


English Language Arts



English Language Arts
1.  Students will listen, speak, read and write for information and understanding. As listeners and readers, students will collect data, facts and ideas; discover relationships, concepts, and generalizations; and use knowledge generated from oral, written, and electronically produced texts. As speakers and writers, they will use oral and written language that follows the accepted conventions of the English language to acquire, interpret, apply, and transmit information.
22.  Language for Literary Response and Expression – Students will read and listen to oral, written, and electronically produced texts and performances from American and world literature; relate texts and performances to their own lives; and develop an understanding of the diverse social, historical, and cultural dimensions the texts and performances represent. As speakers and writers. Students will use oral and written language that follows the accepted conventions of the English language for self-expression and artistic creation.
3.  Language for Critical Analysis and Evaluation – Students will listen, speak, read and write for critical analysis and evaluation. As listeners and readers, students will analyze experiences, ideas, information, and issues presented by others using a variety of established criteria. As speaker and writers, they will use oral and written language that follows the accepted conventions of the English language to present, from a variety of perspectives, their opinions and judgements on experiences, ideas, information and issues.
4.  Language for Social Interaction – Students will listen, speak, read, and write for social interaction. Students will use oral and written language that follows the accepted conventions of the English language for effective social communication with a wide variety of people. As reader and listeners, they will use the social communications of others to enrich their understanding of people and their views.
 
 
 
 
 
 


Languages Other Than English



Languages Other Than English
1.  Communication Skills – Students will be able to use a language other than English for communication.
2.  Cultural Understanding – Students will develop cross-cultural skills and understandings.
 


The Arts



The Arts
1.  Creating, Performing, and Participating in the Arts – Students will actively engage in the processes that constitute creation and performance in the arts (dance, mucus, theatre, and visual arts) and participate in various roles in the arts.
2.  Knowing and Using arts materials and Resources – Students will be knowledgeable about and make use of the materials and resources available for participation in the arts in various roles.
3.  Responding to and Analyzing Works of Art – Students will respond critically to a variety of works in the arts, connecting the individual work to other works and to other aspects of human endeavor and thought.
4.  Understanding the Cultural Contributions of the Arts – Students will develop an understanding of the personal and cultural forces that shape artistic communication and how the arts in turn shape the diverse cultures of past and present society.
 


Career Development and Occupational Studies



Career Development and Occupational Studies
1.  Career Development – Students will be knowledgeable about the world of work, explore career options, and relate personal skills, aptitudes, and abilities to future career decisions.
2.  Integrated Learning – Students will demonstrate how academic knowledge and skills are applied in the workplace and other settings.
3.  Universal Foundation Skills – Students will demonstrate mastery of the foundation skills and competencies essential for success in the workplace.
44.  Career Majors – Students who choose a career major will acquire the career-specific technical knowledge/skills necessary to progress toward gainful employment, career advancement, and success in postsecondary programs.
 


Social Studies



Social Studies
1.  History of the United State and New York – Students will use a variety of intellectual skills to demonstrate their understanding of major ideas, eras themes, developments, and turning points in the history of the United States and New York.
2.  World History – Students will use a variety of intellectual skills to demonstrate their understanding of major ideas, eras, themes, developments and turning points in world history and examine the broad sweep of history from a variety of perspectives.
3.  Geography – Students will use a variety of intellectual skills to demonstrate their understanding of the geography of the interdependent world in which we live – local, national and global – including the distribution of people, places, and environments over the Earth’s surface.
4.  Economics – Students will use a variety of intellectual skills to demonstrate their understanding of how the United States and other societies develop economic systems and associated institutions to allocate scarce resources, how major decision-making units function in the United States and other national economies, and how an economy solves the scarcity problem through market and nonmarket mechanisms.
5.  Civics, Citizenship, and Government – Students will use a variety of intellectual skills to demonstrate their understanding of the necessity for establishing governments; the governmental system of the United States Constitution; the basic civil values of American constitutional democracy; and the roles, rights, and responsibilities of citizenship including avenues of participation.
 

IV.  Commencement Outcomes
 

"Adult Roles, Skills & Knowledge"
 
 
 

CITIZEN
 
A citizen is a responsible, law-abiding member of society who:
 
  Has a strong sense of values;
  Knows right from wrong;
  Is aware of community news, issues and norms;
  Accepts diversity in ethnicity and belief;
  Has knowledge of government at all levels and issues relative to each;
  Associates with others in positive and productive ways.
 
 
LIFE - LONG LEARNER
 
A life-long learner is one who perseveres, is self-motivated, is innately curious, focused and:
 
  Is able to set goals;
  Adheres to deadlines/due-dates, has time management skills and abilities;
  Is a problem solver, can define problems, analyze information and task analyze/prioritize potential solutions, has the ability to select the best "tool/strategy" for the situation, and can enlist others in the process of evaluation and refocusing.
 
 
LEADER
 
A leader is a problem solver with effective communication skills. He/she has an ability to motivate others and:
 
  Is a strong willed person with vision, beliefs and convictions to carry out each.
  Is able to recognize and effectively use all resources, such as material, time and human
  Is responsible and accountable for self and others.
 
 
WORKER/WAGE EARNER/BUSINESS OWNER
 
A worker/wage earner is an individual who is trust worthy, moral and ethical, and who:
 
  Possess basic job skills with a willingness to change, grow and develop new skills;
  Is a good communicator;
  Demonstrates leadership skills and initiative and the ability to work as a team player;
  Is responsible, reliable and respectful to others;
  Has the ability to make sound decisions.
 
 
 
 
 
 
CONSUMER
 
A consumer is an individual who has knowledge of the global economy and:
 
  Utilizes and applies budgeting skills and credit awareness;
  Maintains long-terms personal financial planning (savings, banking, retirement);
  Understand one's rights, responsibilities and risks.
 
 
COUNSELOR/TEACHER/MENTOR
 
A counselor/teacher/mentor is an individual who is patient, self-confident, assertive leader who:
 
  Is a problem solver and can guide others to solve problems;
  Is an active listener;
  Is aware of issues, societal, family, religious differences and different customs;
  Has interpersonal skills and values others opinions.
 
 
PARENT/FAMILY MEMBER
 
A parent/family member is an individual who:
 
  Is nurturing and loving;
  Displays flexibility;
  Has high character and morals;
  Is accountable and consistent with respect to expectations and follow through;
  Becomes actively involved in their children and family's education and other pursuits.
 
 
FRIEND
 
A friend is an individual who shows great interest and respect for others, and who:
 
  Is non-judgmental and available when a time of need arises;
  Is unselfish, honest, supportive, caring and genuine;
  Is an open-minded listener who seeks to understand before being understood;
  Give him/herself to other without expectations of compensation or return of favor.
 
 
 
 
 
 
 

V.  Scope and Sequence
 

 

 
 
 

 
 
 

 
 
 

 
 
           
STRANDS
GRADE LEVEL
             
6
7
8
PROBLEM SOLVING                  
Develop a plan            
D
D
D
Strategies                  
  Look for a pattern      
7A/7B
D
D
D
  Solve a simpler problem    
1A
D
D
D
  Act it out        
1A
 
D
D
  Guess and check      
1A
D
D
D
  Draw a diagram      
1A
D
D
D
  Make a table      
1A
D
D
D
  Work backward      
1A
I
D
M/R
Choose the method of computation  
1B
D
D
D
  Make a list        
1A
D
D
D
Eliminate the possibilities    
1A
D
D
D
Determine reasonable answers    
1A
D
D
D
Make a model      
1A
D
D
D
Use a graph      
1B/5E
D
D
D
Use an equation      
4E
I
D
D
Use logical reasoning      
1C
D
D
D
Use the Pythagorean Theorem    
5C/7I
 
I
D
Use a Venn diagram      
1D
I
D
D/R
Use a frequency table      
4D
D
D
D
Use a spreadsheet      
5D
I
I
I
Use proportional reasoning    
2B
   
D
Decimal concepts      
2A
D
D/M
R
Reading and writing      
2A
D
M
R
Decimal place value      
2A
D
M
R
Comparing and ordering    
2A
D
D/M
R
  Rounding.        
6A
D
D/M
R
Relating decimals and fractions    
2A
I
D
M/R
Relating decimals, ratios, and percents  
2A
I
D
M/R
Terminating and repeating decimals  
3A
I
D
M/R
Scientific Notation      
2D
 
I/D
D
Powers of Ten      
2A
I
D
M/R
           
STRANDS
GRADE LEVEL
             
6
7
8
Fractions                  
Fraction concepts      
2A
D
D/M
R
Writing mixed numbers as fractions  
2A
D
D/M
R
Mixed numbers and improper fractions  
2A
D
D/M
R
Equivalent fractions      
2A
D
D/M
R
Comparing and ordering fractions    
2D
D
D/M
R
Simplifying fractions      
2A
D
D/M
R
Least common denominator (LCD)  
2C
D
D/M
R
Rounding and estimating fractions  
6A
I
D/M
R
Relating fractions and decimals    
2B
D
D
D
Relating fractions and percents    
2B
 
I/D
D
Proportional Reasoning                  
  Ratio                
  Concept of ratio    
2B
I
D
D
  Reading and writing ratios  
2B
I
D
D
  Simplifying ratios    
2B
 
I/D
M/R
  Relating ratios and fractions  
2B
 
I/D
D
  Relating ratios and rate  
2B
 
I/D
D
  Ratio and probability    
6E
I
I/D
I/D
  Proportion                
  Concept of proportion    
2B
 
I/D
M
  Solving proportions    
3G
 
I/D
D
  Property of proportion (cross product)
2D
I
D
D
  Scale drawings    
4B
 
D
D
  Similar figures    
7E
D
D
M/R
    Dilations      
4H
 
I
D
  Indirect measurement    
3G
 
I
D
  Percent                
  Concept of percent    
2B
I
D
M
  Writing fractions and decimals as percent
2B
 
I/D
D
  Percents greater than l00 % or less than l %
2B
 
I/D
D
  Find percent of a number  
2B/2D
 
I/D
D
Percent one number is of another  
2B/2D
 
I/D
D
           
STRANDS
GRADE LEVEL
             
6
7
8
  Finding number when percent is known
2B/2D
 
I/D
D
  Percent proportion    
2B/2D
 
I/D
D/M
  Relating percent and ratio  
2B
 
I/D
I/D
  Percent equation    
2B/2D
 
I
D
Non-proportional relationships    
2B
   
I/D
Computations and Estimation                  
Order of operations          
3C
I/D
D
M
Decimals                  
Adding and subtracting    
3A
D
M
R
Multiplying by a whole number    
3A
D
M
R
Multiplying two decimals    
3A
I/D
D/M
R
Dividing by a whole number    
3A
I/D
D/M
R
Dividing by decimals      
3A
I/D
D/M
R
Dividing with zeros in the quotient  
3A
I
D/M
R
Fractions                  
Adding and subtracting    
3A
D
D
M
Subtracting with renaming    
3A
I/D
D
M
Multiplying and dividing    
3A/3D
I
D
M
Add and subtract mixed numbers    
3A
I
D
M
Multiply and divide mixed numbers  
3A/3C
I
D
M
Percents                  
  Discount        
2B
 
I/D
D
  Sales tax        
2B
 
I/D
M
Simple interest      
2B
 
I/D
D
Percent of change      
2B
 
I
D
Integers                  
Adding and subtracting    
3A
 
I/D
D/M
Multiplying and dividing    
3A
 
I/D
D/M
Estimation                  
Whole numbers              
    Rounding      
6A
D
M
R
  Sums and differences    
6A
D
M
R
Products and quotients  
6A
D
M
R
           
STRANDS
GRADE LEVEL
             
6
7
8
     Decimals                
    Rounding      
6A
I
D
M
  Sums and differences    
6A
I
D
M
  Products and quotients  
6A
I
D
M
  Fractions                
  Sums and differences    
6A
 
I/D
M
  Products and quotients  
6A
 
I/D
M
  Percents            
I
D
Use equivalent fractions, decimals, and percents
6A
   
I/D
                   
Strategies for estimating            
    Rounding      
6B
I
D
M
    Clustering      
6B
I
M
 
 
Square roots          
I
D
Area or volume      
5A/5C
D
D
D
Mental math                  
Divisibility patterns      
2C
D
M
R
Solving equations mentally    
4E
M
   
Finding percents      
6A
 
I
D
Powers of ten      
2A/3B
I/D
M
R
Using formulas          
7H
I
D
D
Number Systems and Number Theory        
2A/2C
D
D
M
Reading and writing whole numbers        
2A
M
R
 
 
Place value of whole numbers          
2A
M
R
 
Place value of decimals          
2A/6A
D
M
R
Comparing and ordering                  
Whole numbers      
2D
R
   
  Decimals        
2D
D
M
R
  Fractions        
2D
D
M
R
  Integers        
2D
 
I/D
M
  Rationals        
2D
   
I/D
Positive exponents          
2A
I
D
M
Negative exponents          
2A
 
I
D
           
STRANDS
GRADE LEVEL
             
6
7
8
Divisibility patterns          
2C
D
M
R
Prime and composite numbers          
2C
D
M
R
Relative primes          
2C
 
M
R
Prime factorization          
2C
I
D/M
R
Least common multiple (LCM)          
2C
D
M
R
Scientific notation          
2A
 
I/D
M
Square roots          
2D/3C/7I
 
I
D
Properties                  
Properties of number      
2A/3C
D
D
M
Distributive property      
3C/3D
 
I
D
Property of proportions (cross products)  
2B/2D
 
I/D
M
Properties of equality      
4E/7A/7E
 
I
D
PATTERNS AND FUNCTIONS                  
Numeric patterns                  
Sequences      
7A
I
D
D
Fibonacci sequence      
7A
   
I
Divisibility patterns      
2C
D
M
R
Geometric patterns                  
Recognizing geometry patterns    
7A
 
M
R
Tessellations      
4A/1C
 
I
D
  Fractals        
4A/1C
 
I
 
Represent relationships                  
  Tables        
7B
I
D
D
  Graphs        
7B
   
I/D
Function rules      
7A/7B/7D
   
I/D
Analyze functional relationships          
7D
   
I/D
Use patterns and functions to solve problems      
7A/7C
I
D
D
                   
ALGEBRA                  
Integers                  
Reading and writing integers    
2A
 
I/D
M
Graphing integers on a number line  
2A/4D
 
I/D
M
Comparing and ordering integers    
2D
 
I/D
M
           
STRANDS
GRADE LEVEL
             
6
7
8
Adding and subtracting integers    
3A
 
I/D
M
Multiplying and dividing integers    
3A
 
I/D
M
Absolute value      
3A
 
I/D
M
Rational numbers                  
Identify and simplify rational numbers  
2A/2D
   
I/D
Properties of rational numbers    
2D/3D
   
I/D
Rational numbers and decimals    
2A/2D
   
I/D
Scientific notation      
2A/2D
   
I/D
Comparing and ordering    
2D
   
I/D
Solving equations with rational number solutions
4E/7C
   
I/D
Real numbers                  
Identify and classify real numbers  
2A
   
I/D
Square roots      
3B
 
I
D
Irrational numbers      
2A
 
I
D
Functions                  
Function tables      
7B
   
I/D
Linear functions      
7C
   
I/D
Analyze tables and graphs    
5D/7B
   
I/D
Equations and expressions                  
Concepts of variable, expression, equation  
4E
I
D
M
Order of operations      
3B/3C
D
M
M/R
Evaluate algebraic expressions    
4E
 
I/D
M
Write algebraic expressions and equations  
4E
 
I/D
M
Solve addition and subtraction equations  
4E
I
D
M
Solve multiplication and division equations  
4E
I
D
M
Solve two-step equations    
7C
   
I/D
Solve equations with two variables  
7C
   
I/D
Solve inequalities      
2D/7C
 
I/D
D
Solve equations with concrete methods  
4F
I
M
 
 
Solve equations algebraically    
4E/7A
I
D
D
Graphing                  
Integers on a number line    
2D
 
I/D
M
Irrational numbers on a number line  
2D
   
I
           
STRANDS
GRADE LEVEL
             
6
7
8
Inequalities on a number line    
2D
 
I
D
Points on a coordinate plane    
4C
I
D
M
Transformations on a coordinate plane  
4C/4H
 
I
D
  Functions        
7A
 
I
D
Linear functions (equations)    
4E/7C
   
I/D
Polynomials                
I/D
Hands on equations      
4F
   
I/D
Represent and simplify polynomials  
4E
   
I/D
Like and unlike terms      
4E
   
I/D
Laws of exponents (Add, Subtract, Multiply and divide)
4E
   
I/D
Apply algebra to real-world and math problems      
2A/4F
 
I
D
                   
                   
STATISTICS                  
Taking a survey          
1B
D
D
D
Analyzing survey data          
1B/5D
D
D
D
Organizing Data                  
Using a table to organize data.    
1B/7B
D
D
D
Frequency tables      
1B/7B
I
D
D
Using tables to solve problems    
1B/7B
 
I
D
Using matrices to organize data    
1B/7B
   
I
Constructing and interpreting graphs                
  Bar graphs        
4D/5D
D
M
R
Circle graphs      
4D/5D
 
I
D
Line graphs      
4D/5D
D
M
 
 
  Line plots        
4D/5D
 
I
M
Histograms      
4D/5E
   
I/D
Scatter plots      
4D
 
I
D
Interpreting data                  
  Clusters        
5D
 
I
D
Mean, median, and mode    
5D
I
D
M
  Range        
5D
I
D
D
Making predictions from statistics  
5D/1B
D
D
D
           
STRANDS
GRADE LEVEL
             
6
7
8
Making predictions from graphs    
4D/5D
D
D
D
                   
PROBABILITY                  
  Outcomes        
4G/6A/6E
I
D
D
Simple event      
4G/6C/6E
I
D
D
Independent events      
4G/6E
 
I
D
Dependent events      
4G/6E
 
I
D
Complementary events    
6C/6E
I/D
   
Experimental probability    
6C/6D/6E
I
D
D
Theoretical probability      
4G/6E
I
D
D
Tree diagrams      
4F/4G
I
D
D
Counting principle      
4F4G
I
D
D
Probability and ratio      
4G/6C
I
D
D
Fair and unfair games      
4G/6C
I
D
D
Simulations or experiments    
4G/6D
I
D
R
                   
                   
GEOMETRY                  
Constructions                  
Congruent segments      
4I/4J
 
I
 
Perpendicular lines      
4I/4J
 
I
 
Parallel lines      
4I/4J
 
I
 
Segment bisectors      
4I/4J
 
I
 
Congruent angles      
4I/4J
 
I
 
Angle bisectors      
4I/4J
 
I
 
Polygons, inscribed      
4I/4J
 
I
 
Congruent triangles      
4I/4J
 
I
 
 
Angles                  
Classify and measure angles    
5B/4I/4J
I
D
M/R
Sum of angle measures    
7G
 
I/D
M
Parallel lines and transversal    
7H
 
I
D
Polygons                  
Identify polygons      
4A/7G
I
D
M
           
STRANDS
GRADE LEVEL
             
6
7
8
Classify triangles and quadrilaterals  
7G
I
D
M
Identify congruent figures    
4I
I
D
M
Triangles                  
Determine congruent triangles    
4I
   
I
Right triangle relationships (trigonometry)  
5C/7I
   
I
Pythagorean Theorem      
5C/7I
 
I
I/D
Special right triangles      
7I/7J
   
I
Similarity                  
Corresponding parts of similar figures  
4H/4I
I
I/D
D
Identify similar figures      
4H/4I
I
I/D
D
Scale drawings      
4B
 
I
D
  Dilations        
4H
 
I
D
Circles                  
Circumference (radius, diameter)    
5C
 
I/D
M
  Area        
5C
 
I/D
M
Perimeter                  
Regular shapes      
5C
D
D
M
irregular shapes      
5C
I
D
M
Area                  
Rectangles      
5B/5C
D
D
M
Parallelograms (base, height)    
5B/5C
 
I/D
M
  Trapezoids        
5B/5C
 
I/D
M
  Triangles        
5B/5C
I
D
M
  Circles        
5B/5C
 
I/D
M
Square roots and area of squares    
2D/5C
 
I
D
Transformations                  
Translations, reflections, and rotations  
4H
 
I
D
  Dilations        
4H
 
I
D
On the coordinate plane    
4H
 
I
D
  Symmetry        
4H
D
D
D
Solids                  
Identify, draw three-dimensional figures  
4A
 
I
D
Surface area      
5C/5B
 
I
D
           
STRANDS
GRADE LEVEL
             
6
7
8
  Volume        
5C/5B
I
D
D
Coordinate Geometry                  
Graphing ordered pairs    
4C
I
D
M
Transformations on the coordinate plane  
4H
 
I
D
Patterns                  
Recognizing geometric patterns    
4A/7K
I
D
M
  Symmetry        
4H
D
D
D
  Fractals        
4A/1C
 
I
 
Trigonometry          
7J
   
I
Inductive and deductive thinking          
1A
   
I
                   
                   
MEASUREMENT                  
Metric System                  
Units of length, capacity, and mass  
5F
I
D
M
Changing units within the metric system  
5F
I
D/M
R
Customary system                  
Units of length, capacity, and weight  
5F
 
I/D
 
Change units within the customary system  
5F
 
I/D
 
 
Time            
D
   
Perimeter and circumference            
I
D
D
Area                  
Irregular figures      
5C
 
I/D
M
Rectangles      
5C
D
D
M
Parallelograms      
5C
 
I/D
M
  Triangles        
5C
I
D
M
  Circles        
5C
 
I/D
M
  Trapezoids        
5C
 
I/D
M
Surface area                  
Rectangular prisms      
5C
 
I
D
Volume                  
Rectangular prisms      
5C
I
D
M
           
STRANDS
GRADE LEVEL
             
6
7
8
  Cylinders        
5C
 
I
D
Pyramids and cones      
5C
 
I
D
Precision and significant digits          
5B
   
I
Indirect measurement          
3G
 
I
D


 
VI.  Course Overview
 
Mathematics: Applications and Connections (Course 1) prepares all students for success in algebra and geometry. Students use manipulatives to bridge the gap from the concrete to the abstract, hands-on labs and mini-labs to discover concepts on their own, and cooperative learning to achieve academic and interpersonal skills.
Glencoe, Course 1, page T4-T5, 1999.
 


1. Problem Solving, Numbers and Algebra



1.  Problem Solving, Numbers and Algebra
2.  Statistics: Graphing Data
3.  Adding and Subtracting Decimals
4.  Multiplying and Dividing Decimals
5.  Using Number Patterns, Fractions, and Ratios
6.  Adding and Subtracting Fractions
7.  Multiplying and Dividing Fractions
8.  Geometry
9.  Geometry (Area and Volume)
10.  Equations
11.  Probability

VII.  Instructional Outline
 


I. Problem Solving, Numbers, and Algebra



I.  Problem Solving, Numbers, and Algebra
1.  Problem solving four step plan
2.  Patterns
3.  Estimation using rounding
4.  Order of operations
5.  Algebraic expressions
6.  Exponents
7.  Problem Solving Strategy – Guess and Check
 
II.  Statistics: Graphing Data
1.  Frequency tables
2.  Scales and intervals
3.  Bar graphs, line graphs, circle graphs
4.  Mean, median, mode, and range
5.  Misleading graphs
6.  Ordered pairs
7.  Computer generated graphs
 
III.  Adding and Subtracting Decimals
1.  Model decimals
2.  Read and write decimals
3.  Metric units of length
4.  Compare and order decimals
5.  Round decimals
6.  Estimate sums and differences
7.  Add and subtract decimals
 
IV.  Multiplying and Dividing Decimals
1.  Estimate products of decimals
2.  Multiply decimals
3.  Perimeter and area of rectangles and squares
4.  Solve problems by first solving a simpler problem
5.  Divide decimals by whole numbers
6.  Divide decimals by decimals
7.  Metric units of mass and capacity
 
V.  Using Number Patterns, Fractions, and Ratios
1.  Divisibility rules
2.  Prime and composite numbers
3.  Prime factorization
4.  Problem solving – organized list
5.  Greatest common factor
6.  Equivalent fractions
7.  Simplest form- fractions and ratios
8.  Experimental probability
9.  Mixed numbers and improper fractions
10.  Measurement using fractions
11.  Least common multiple
12.  Compare and order fractions
13.  Decimals to fractions and vice versa
 
VI.  Adding and subtracting fractions
1.  Round and estimate fractions
2.  Add and subtract fractions
3.  Add and subtract mixed numbers
4.  Add and subtract measures of time
 
VII.  Multiplying and Dividing Fractions
1.  Estimating products
2.  Multiplying fractions and mixed numbers
3.  Divide fractions and mixed numbers
4.  Customary system of measurement
5.  Problem solving using patterns
 
VIII.  Geometry
1.  Geometry Symbols
2.  Angles
a.  Classify
b.  Measure
3.  Lines
a.  Parallel
b.  Perpendicular
c.  Symmetry
4.  Two-dimensional figures
5.  Similar and congruent
 
IX.  Geometry (Area and Volume)
1.  Area
a.  Square
b.  Rectangle
c.  Triangle
2.  Three Dimensional Figures
3.  Volume of Rectangular Prisms
 
X.  Equations
1.  Addition
2.  Subtraction
3.  Multiplication and division
 
XI.  Probability
1.  Fair and unfair games
2.  Theoretical probability
3.  Making predictions using samples
4.  Finding outcomes (combinations)
 

VIII.  Course Benchmarks

IX.  Units of Study

Unit One
 
Problem Solving, Numbers, and Algebra

A.  Unit Benchmarks
Students will be able to:
1.  Solve problems using the four step plan.
 
2.  Solve problems using patterns.
 
3.  Estimate sums, products, differences, and quotients using rounding.
 
4.  Evaluate expressions using the order of operations.
 
5.  Model algebraic expressions.
 
6.  Evaluate numerical and simple algebraic expressions.
 
7.  Use powers and exponents in expressions and expanded notation.
 
8.  Solve problems by using the guess and check strategy.
 
9.  Solve equations by using mental math and guess and check.
 
 
.  
 
 
 

B. Unit Assessment


B.  Unit Assessment
Quizzes
Mid- chapter self-check
Unit Test
Extended Response Questions
Observation/ Dialogue
Informal checks for understanding through use of oral and written questions
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

C. Rubric


C.  Rubric
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

D. Activities


D.  Activities
 
1. Teacher Constructed Activities:
 
Activity Benchmark Standard Application Level
a.  Create a chart with 3 columns- Exponent Form, Factor Form, and Standard Form. Students can fill in missing information.
 
 
 
 
 
Materials: Pocket chart
7 MST: 3 1, 2, 3, 4
b.  Newspaper Rounding activity- Find examples in the daily paper of rounded numbers.
 
 
 
 
 
 
Materials : Newspapers
3 MST: 3 1, 2, 3, 4, 5
c.  Order of Operations pneumonic device. Use the phrase, “Please Excuse My Dear Aunt Sally” to remember the correct order of operations.
 
 
 
 
 
Materials:
4 MST: 3 1, 2, 3, 4
d.
 
 
 
 
 
 
 
Materials :
     
e.
 
 
 
 
 
 
 
Materials :
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

2. Textbook with Teaching Strategies
 
Activity Benchmark Standard Application Level
a.  Textbook pages 2-43 can be used in class and for homework
 
 
 
 
 
 
 
 
 
Materials:
1-9 MST: 3 1, 2, 3, 4, 5
b.  Popcorn Activity – See pages 20-21 in text.
 
 
 
 
 
 
 
 
 
 
Materials : Paper bags, popcorn
5 MST: 3 1, 2, 3, 4
c.  Expo BINGO – See page 31 in text
 
 
 
 
 
 
 
 
 
 
Materials: Calculator, BINGO cards, chips
7 MST: 3 1, 2, 3, 4

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

3. Computer Assisted Instruction
 
Activity Benchmark Standard Application Level
a.  Test and review software available in teacher set.
 
 
 
 
 
 
Materials :
1-9 MST: 3 1, 2, 3, 4
b.
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

4. Cross Disciplinary
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials:
     
b.
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

5. Miscellaneous
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials:
     
b.
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 

E. Vocabulary


E.  Vocabulary
Algebra
Algebraic Expression
Base
Cubed
Equation
Estimate
Evaluate
Examine
Expanded Form
Explore
Exponent
Factor
Guess and Check
Order of Operations
Pattern
Plan
Power
Rounding
Solution
Solve
Squared
Variable
 
 
 
 
 
 
 
 
 
 
F.  References and Resources

Back to top



Glencoe Mathematics Applications and Connections, Course 1
Glencoe Teacher Classroom Resources, Course 1
 
 
 
 
 
 
 
 
 

Unit Two
 
Statistics: Graphing Data

A.  Unit Benchmarks
Students will be able to:
1.  Make and interpret frequency tables.
 
2.  Choose appropriate scales and intervals for frequency tables.
 
3.  Interpret and construct bar and line graphs.
 
4.  Find the mean, median, mode, and range to describe a set of data.
 
5.  Recognize when statistics and graphs are misleading.
 
6.  Graph ordered pairs of numbers on a coordinate grid.
 
7.  Collect data and create a computer-generated graph.
 
8.  Interpret circle graphs.
 
.  
 
 
 

B. Unit Assessment


B.  Unit Assessment
Quizzes
Mid- chapter self-check
Unit Test
Extended Response Questions
Computer Graph Project
Observation/ Dialogue
Informal checks for understanding through use of oral and written questions
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

C. Rubric


C.  Rubric
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

D. Activities


D.  Activities
 
1. Teacher Constructed Activities:
 
Activity Benchmark Standard Application Level
a.  Newspaper Activity- Find examples of different types of graphs.
 
 
 
 
 
Materials: Daily newspaper or magazines
3, 4, 5, 8 MST: 3 1, 2, 3, 4, 5
b.  Ongoing record of grades- Determine statistics of grades (mean, median, mode, range)
 
 
 
 
Materials :
4 MST: 3 1, 2, 3, 4, 5
c.  Tic-Tac-Toe four in a row- Use coordinate grid to plot ordered pairs. Teams take turns to be the first to get four X’s or O’s in a row.
 
 
 
 
Materials: Coordinate grid overhead copy, markers
6 MST: 3 1, 2, 3, 4
d.
 
 
 
 
 
 
Materials :
     
e.
 
 
 
 
 
 
Materials :
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

2. Textbook with Teaching Strategies
 
Activity Benchmark Standard Application Level
a.  Textbook pages 44-91 and pages 459-461 can be used in class and for homework
 
 
 
 
 
 
 
 
 
 
Materials:
1-8 MST: 3 1, 2, 3, 4, 5
b.
 
 
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

3. Computer Assisted Instruction
 
Activity Benchmark Standard Application Level
a.  Test and review software available in teacher set.
 
 
 
 
 
Materials :
1-8 MST: 3 1, 2, 3, 4
b.  Computer Graph Project- Students collect data and organize into frequency tables. Students then use EXCEL to generate a graph for their data. Three to five conclusions are written based on the results.
 
 
 
 
Materials:
7 MST: 3 1, 2, 3, 4, 5
c.
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

4. Cross Disciplinary
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials:
     
b.
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

5. Miscellaneous
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials:
     
b.
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 

E. Vocabulary


E.  Vocabulary
Average
Bar graph
Circle graph
Coordinate system or coordinate grid
Data
Frequency table
Interval
Line graph
Mean
Median
Mode
Negative
Ordered pair
Origin
Positive
Quadrants
Range
Scale
Statistics
x-axis
x-coordinate
y-axis
y-coordinate
 
 
 
 
 
F.  References and Resources

Back to top



Glencoe Mathematics Applications and Connections, Course 1
Glencoe Teacher Classroom Resources, Course 1
 
 
 
 
 
 
 
 
 
 

Unit Three
 
Adding and Subtracting Decimals

A.  Unit Benchmarks
Students will be able to:
1.  Model decimals through hundredths.
 
2.  Read and write decimals through ten-thousandths.
 
3.  Measure length in metric units and relate to real-life scale drawings.
 
4.  Show relationships among metric units of length.
 
5.  Compare and order decimals.
 
6.  Round decimals.
 
7.  Estimate decimal sums and differences.
 
8.  Add and subtract decimals.
 
9.  Explain reasonableness of real-life addition and subtraction problems.
.  
 
 
 
 

B. Unit Assessment


B.  Unit Assessment
Quizzes
Mid- chapter self-check
Unit Test
Extended Response Questions
Observation/ Dialogue
Informal checks for understanding through use of oral and written questions.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

C. Rubric


C.  Rubric
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

D. Activities


D.  Activities
 
1. Teacher Constructed Activities:
 
Activity Benchmark Standard Application Level
a.  Build-A-Number - Teacher randomly chooses numbers as students create the least or greatest number possible.
 
 
Materials: index card with digits 0-9
1, 2 MST: 3 1, 2, 3, 4, 5
b.  Measure items in the classroom.
 
 
 
 
Materials : Rulers, Meter sticks, Tape measure
3, 4 MST: 3 1, 2, 3, 4, 5
c.  Checkbook Activity- Students record transactions.
 
 
 
 
 
Materials: Checkbook worksheet
7, 8, 9 MST 3 1, 2, 3, 4, 5
d.
 
 
 
 
 
Materials :
     
e.
 
 
 
 
 
Materials :
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

2. Textbook with Teaching Strategies
 
Activity Benchmark Standard Application Level
a.  Textbook pages 92-129 can be used in class and for homework
 
 
 
 
 
 
Materials:
1-9 MST: 3 1, 2, 3, 4, 5
b.  Use graph paper or blocks to model decimals. See pages 94-96 in text.
 
 
 
 
 
 
Materials: graph paper, colored pencils
1 MST: 3 1
c.  Cooperative Group Activity- See pages 100-101 in text.
 
 
 
 
 
 
Materials: Tape Measure
3, 4 MST: 3 1, 2, 3, 4, 5
 
d.  Number line- See page 105, 107, and 109.
 
 
 
 
 
 
 
Materials:
5, 6 MST: 3 1, 2, 3, 4, 5

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

3. Computer Assisted Instruction
 
Activity Benchmark Standard Application Level
a.  Test and review software available in teacher set.
 
 
 
 
 
 
 
Materials :
1-9 MST: 3 1, 2, 3, 4
b.
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

4. Cross Disciplinary
 
Activity Benchmark Standard Application Level
a.  Scale drawings- Use Social Studies maps.
 
 
 
 
 
 
 
 
Materials:
3 MST: 3 1, 2, 3, 4, 5
b.
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

5. Miscellaneous
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials:
     
b.
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 

E. Vocabulary


E.  Vocabulary
Centimeter
Difference
Meter
Metric system
Millimeter
Place value
Reasonable answers
Scale Drawings
Sum
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
F.  References and Resources

Back to top



Glencoe Mathematics Applications and Connections, Course 1
Glencoe Teacher Classroom Resources, Course 1
 
 
 
 
 
 
 
 
 
 
 

Unit Four
 
Multiplying and Dividing Decimals

A.  Unit Benchmarks
Students will be able to:
1.  Estimate and find the products of decimals and whole numbers.
 
2.  Multiply decimals.
 
3.  Find the perimeters and areas of rectangles and squares.
 
4.  Explain how perimeter and area are related in the real world.
 
5.  Divide decimals by whole numbers.
 
6.  Divide decimals by decimals.
 
7.  Divide decimals involving zeroes in the quotient.
 
8.  Use metric units of mass and capacity.
 
9.  Change units within the metric system.
 
10.  Solve problems by first solving a simpler problem.
 
11.  Explain reasonableness of real-life multiplication and division problems.
.  
 
 
 

B. Unit Assessment


B.  Unit Assessment
Quizzes
Mid- chapter self-check
Unit Test
Extended Response Questions
Observation/ Dialogue
Informal checks for understanding through use of oral and written questions .
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

C. Rubric


C.  Rubric
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

D. Activities


D.  Activities
 
1. Teacher Constructed Activities:
 
Activity Benchmark Standard Application Level
a.  Find perimeters and areas of items in the classroom.
 
 
 
 
 
Materials: rulers, meter sticks
3 MST: 3 1, 2, 3, 4, 5
b.
 
 
 
 
 
 
Materials :
     
c.
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
Materials :
     
e.   
 
 
 
 
 
Materials :  
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

2. Textbook with Teaching Strategies
 
Activity Benchmark Standard Application Level
a.  Textbook pages 130-175 can be used in class and for homework
 
 
 
 
 
 
 
Materials:
1-11 MST: 3 1, 2, 3, 4, 5
b.  Relating perimeter and area. See page 149 in text.
 
 
 
 
 
 
 
Materials
3, 4 MST: 3 1, 2, 3, 4, 5
c.  Metric Game- See page 166 in text.
 
 
 
 
 
 
 
 
Materials:
8 MST 3 1, 2, 3, 4, 5
 
d.
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

3. Computer Assisted Instruction
 
Activity Benchmark Standard Application Level
a.  Test and review software available in teacher set.
 
 
 
 
 
 
 
Materials :
1-11 MST: 3 1, 2, 3, 4
b.
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

4. Cross Disciplinary
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials:
     
b.
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

5. Miscellaneous
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials:
     
b.
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 

E. Vocabulary


E.  Vocabulary
Area
Dividend
Divisor
Factor
Gram
Kilogram
Liter
Milligram
Milliliter
Perimeter
Product
Quotient
Remainder
Sides
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
F.  References and Resources

Back to top



Glencoe Mathematics Applications and Connections, Course 1
Glencoe Teacher Classroom Resources, Course 1
 
 
 
 
 
 
 
 
 
 

Unit Five
 
Using Number Patterns, Fractions, and Ratios

A.  Unit Benchmarks
Students will be able to:
1.  Use divisibility rules for 2, 3, 5, 6, 9, and 10.
 
2.  Identify and explain the difference between prime and composite numbers.
 
3.  Find the prime factorization of a composite number.
 
4.  Find the greatest common factor of two or more numbers.
 
5.  Use models to represent fractions and equivalent fractions.
 
6.  Express fractions and ratios in simplest form.
 
7.  Determine the experimental probability for a given set of data.
 
8.  Express mixed numbers as improper fractions and vise versa.
 
9.  Measure line segments and objects with a ruler divided in halves, fourths, and eighths.
 
10.  Find the least common multiple of two or more numbers.
 
11.  Compare and order fractions.
 
12.  Express terminating decimals as fractions in simplest form.
 
13.  Express fractions as terminating and repeating decimals.
 
14.  Solve real life problems by making an organized list.
 

B. Unit Assessment


B.  Unit Assessment
Quizzes
Mid- chapter self-check
Unit Test
Extended Response Questions
Observation/ Dialogue
Informal checks for understanding through use of oral and written questions.
Factor tree Project
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

C. Rubric


C.  Rubric
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

D. Activities


D.  Activities
 
1. Teacher Constructed Activities:
 
Activity Benchmark Standard Application Level
a.  Chart Relay- Teams/Classes compete against each other by completing divisibility charts.
 
 
 
 
 
Materials: pocket chart (optional)
1 MST: 3 1, 2, 3, 4, 5
b.  Sieve of Eratosthenes
 
 
 
 
 
 
Materials : Chart of numbers
2, 3 MST: 3 1, 2
c.  Pocket chart Activity showing prime factorization.
 
 
 
 
 
Materials: Pocket chart, index cards
2, 3 MST: 3 1, 2
d.  Manipulatives
 
 
 
 
 
Materials : Hamburger kits, Pizza game
5, 6, 8, 11 MST: 3 1, 2, 3, 4, 5
e.  Factor Tree Project- Students find the prime factorization of a specific number, and show results in a variety of creative ways. (sports, science, hobbies, etc.)
 
 
Materials :
2, 3 MST: 3 1, 2, 3, 4, 5

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

2. Textbook with Teaching Strategies
 
Activity Benchmark Standard Application Level
a.  Textbook pages 176-225 can be used in class and for homework.
 
 
 
 
 
Materials:
1-14 MST: 3 1, 2, 3, 4, 5
b.  Rectangular Arrays- See page 181 in text.
 
 
 
 
 
 
Materials: graph paper
2 MST: 3 1
c.  Experimental Probability- See page 197 in text.
 
 
 
 
 
Materials:
6, 7 MST: 3 1, 2, 3, 4, 5
 
d.  Family Activity- See page 204 in text.
 
 
 
 
 
 
Materials:
9 MST: 3 1, 2, 3, 4, 5
e.  Least Common Multiple Game- See page 209 in text.
 
 
 
 
 
 
Materials:
10 MST: 3 1, 2, 3, 4, 5

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

3. Computer Assisted Instruction
 
Activity Benchmark Standard Application Level
a.  Test and review software available in teacher set.
 
 
 
 
 
 
 
 
Materials :
1-14 MST: 3 1, 2, 3, 4
b.  Factor Tree Project- See Teacher constructed activities. Students may use computer or internet to construct project.
 
 
 
 
 
 
 
Materials:
2, 3 MST: 3 1, 2, 3, 4, 5
c.
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

4. Cross Disciplinary
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials:
     
b.
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

5. Miscellaneous
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials:
     
b.
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 

E. Vocabulary


E.  Vocabulary
Bar notation
Common multiples
Composite number
Equivalent fractions
Experimental probability
Factor tree
Foot
Greatest common factor (GCF)
Improper fraction
Inch
Least common denominator (LCD)
Least common multiple (LCM)
Mile
Mixed number
Multiple
Prime factorization
Prime number
Ratio
Repeating decimal
Simplest form
Terminating decimal
Yard
 
 
 
 
 
 
F.  References and Resources

Back to top



Glencoe Mathematics Applications and Connections, Course 1
Glencoe Teacher Classroom Resources, Course 1
 
 
 
 
 
 
 
 
 
 

Unit Six
 
Adding and Subtracting Fractions

A.  Unit Benchmarks
Students will be able to:
1.  Round fractions and mixed numbers.
 
2.  Estimate sums and differences of fractions and mixed numbers.
 
3.  Add and subtract fractions.
 
4.  Add and subtract mixed numbers.
 
5.  Subtract mixed numbers involving renaming.
 
6.  Add and subtract measures of time.
 
7.  Write and explain the use of fractions in the real world.
 
 
 
 
 

B. Unit Assessment


B.  Unit Assessment
Quizzes
Mid- chapter self-check
Unit Test
Extended Response Questions
Observation/ Dialogue
Informal checks for understanding through use of oral and written questions.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

C. Rubric


C.  Rubric
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

D. Activities


D.  Activities
 
1. Teacher Constructed Activities:
 
Activity Benchmark Standard Application Level
a.  Manipulatives
 
 
 
 
 
 
Materials: Hamburger kits
3, 4 MST: 3 1, 2, 3, 4, 5
b.  Journal Activity
 
 
 
 
 
 
Materials :
7 MST: 3 1, 2, 3, 4, 5
c.
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
Materials
     
e.
 
 
 
 
 
 
Materials :
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

2. Textbook with Teaching Strategies
 
Activity Benchmark Standard Application Level
a.  Textbook pages 226-265 can be used in class and for homework
 
 
 
 
 
Materials:
1-7 MST: 3 1, 2, 3, 4, 5
b.  Family Activity- See page 245.
 
 
 
 
 
Materials:
2, 3, 4 MST: 3 1, 2, 3, 4, 5
c.  Mixed Number Game- See page 253 in text.
 
 
 
 
 
Materials:
2, 3, 4 MST: 3 1, 2, 3, 4, 5
 
d.
 
 
 
 
 
 
Materials:
     
e.
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

3. Computer Assisted Instruction
 
Activity Benchmark Standard Application Level
a.  Test and review software available in teacher set.
 
 
 
 
 
 
 
 
 
Materials :
1-7 MST: 3 1, 2, 3, 4
b.  Math Blasters
 
 
 
 
 
 
 
 
Materials: Computer software in computer lab
2, 3 MST: 3 1, 2, 3, 4, 5
c.
 
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

4. Cross Disciplinary
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials:
     
b.
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

5. Miscellaneous
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials:
     
b.
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 

E. Vocabulary


E.  Vocabulary
Denominator
Hour
Like fractions
Minute
Numerator
Second
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
F.  References and Resources

Back to top



Glencoe Mathematics Applications and Connections, Course 1
Glencoe Teacher Classroom Resources, Course 1
 
 
 
 
 
 
 
 
 
 
 
 
 

Unit Seven
 
Multiplying and Dividing Fractions

A.  Unit Benchmarks
Students will be able to:
1.  Estimate fraction products.
 
2.  Multiply fractions by using graph paper.
 
3.  Multiply fractions.
 
4.  Multiply mixed numbers.
 
5.  Divide fractions.
 
6.  Divide mixed numbers.
 
7.  Change units within the customary system.
 
8.  Solve problems by finding and extending a pattern.
 
9.  Recognize and extend sequences.
 
10.  Write and explain how fractions and measurement are used in real life.
 
 
 

B. Unit Assessment


B.  Unit Assessment
Quizzes
Mid- chapter self-check
Unit Test
Extended Response Questions
Observation/ Dialogue
Informal checks for understanding through use of oral and written questions.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

C. Rubric


C.  Rubric
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

D. Activities


D.  Activities
 
1. Teacher Constructed Activities:
 
Activity Benchmark Standard Application Level
a.  Multiply fractions by using graph paper.
 
 
 
 
 
Materials: Graph paper, colored pencils
2, 3 MST: 3 1, 2
b.  Journal Activity
 
 
 
 
 
Materials:
10 MST: 3 1, 2, 3, 4, 5
c.
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
Materials
     
e.
 
 
 
 
 
Materials :
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

2. Textbook with Teaching Strategies
 
Activity Benchmark Standard Application Level
a.  Textbook pages 266-307 can be used in class and for homework
 
 
 
 
Materials:
1-10 MST: 3 1, 2, 3, 4, 5
b.  Multiplication Game- See page 276 in text.
 
 
 
 
Materials: Poster board, number cubes
3 MST: 3 1, 2, 3, 4, 5
c.  Newspaper Activity- See page 279 in text.
 
 
 
 
Materials: Newspapers or magazines
3, 4 MST: 3 1, 2, 3, 4, 5
 
d.  Measuring and Chart Activity- See page 293 in teacher text.
 
 
 
 
Materials: Measuring containers (cups, pints, quarts, gallons)
7 MST: 3 1, 2, 3, 4, 5
e.  Interview/Community Activity- See page 294 in teacher text.
 
 
 
 
Materials:
7, 10 MST: 3 1, 2, 3, 4, 5
f.  Music Activity- See page 298 in teacher text.
 
 
 
 
Materials: Sheet music
8, 9 MST: 3 1, 2, 3, 4, 5

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

3. Computer Assisted Instruction
 
Activity Benchmark Standard Application Level
a.  Test and review software available in teacher set.
 
 
 
 
 
 
 
 
 
Materials :
1-10 MST: 3 1, 2, 3, 4
b.
 
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

4. Cross Disciplinary
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials:
     
b.
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

5. Miscellaneous
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials:
     
b.
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 

E. Vocabulary


E.  Vocabulary
Compatible numbers
Cup
Fluid ounce
Gallon
Invert
Ounce
Pattern
Pint
Pound
Quart
Reciprocals
Sequence
Ton
 
 
 
 
 
 
 
 
 
 
 
 
 
 
F.  References and Resources

Back to top



Glencoe Mathematics Applications and Connections, Course 1
Glencoe Teacher Classroom Resources, Course 1
 
 
 
 
 
 
 
 
 
 
 

Unit Eight
 
Geometry

A.  Unit Benchmarks
Students will be able to:
1.  Identify geometric symbols (line, line segment, ray, point) and relate them to everyday life.
 
2.  Identify parallel and perpendicular lines.
 
3.  Classify and measure angles.
 
4.  Draw angles and estimate measures of angles.
 
5.  Classify two–dimensional figures.
 
6.  Describe and define lines of symmetry.
 
7.  Determine congruence and similarity.
 
 
 
 
 
 
 
 
 
 
 

B. Unit Assessment


B.  Unit Assessment
Quizzes
Mid- chapter self-check
Unit Test
Extended Response Questions
Observation/ Dialogue
Informal checks for understanding through use of oral and written questions.
Jigsaw Puzzle Project (optional)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

C. Rubric


C.  Rubric
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

D. Activities


D.  Activities
 
1. Teacher Constructed Activities:
 
Activity Benchmark Standard Application Level
a.  Find examples of geometry terms in the classroom.
 
 
 
 
 
 
Materials:     
1, 2, 3, 5, 6, 7 MST: 3 1, 2, 3, 4, 5
b.  Make types of angles with popsicle sticks.
 
 
 
 
 
 
Materials : Popsicle sticks
3, 4 MST: 3 1, 2
c.  Jigsaw Puzzle Project- Students create puzzles using various geometric shapes .
 
 
 
 
 
Materials: Teacher created packet
3, 4, 5, 7 MST: 3 1, 2, 3, 4, 5
d.
 
 
 
 
 
 
Materials
     
e.
 
 
 
 
 
 
Materials :
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

2. Textbook with Teaching Strategies
 
Activity Benchmark Standard Application Level
a.  Textbook pages 350-393 can be used in class and for homework.
 
 
 
Materials:    
1-7 MST: 3 1, 2, 3, 4, 5
b.  Chapter Project- See page 351 in text.
 
 
 
 
Materials: Worksheet
1, 2, 3, 4, 5 MST: 3 1, 2, 3, 4, 5
c.  Design creature/picture- See teacher text, page 373.
 
 
 
 
Materials: Construction paper, colored pencils, cardboard.
5 MST: 3 1, 2, 3
 
d.  Concentration Game- See page 377 in teacher text.
 
 
 
 
Materials: Index cards
6 MST: 3 1, 2, 3,
e. Mini-Lab- See page 379 in text.
 
 
 
 
 
Materials: Tracing paper, scissors
7 MST: 3 1, 2, 3
e.  Small group library activity- See page 378 in teacher text.
 
 
 
Materials:
6 MST: 3 1, 2, 3, 4, 5
f.  Journal Activity- See page 379 in teacher text.
 
 
 
 
Materials:
7 MST: 3 1, 2

Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

3. Computer Assisted Instruction
 
Activity Benchmark Standard Application Level
a.  Test and review software available in teacher set.
 
 
 
 
 
 
 
 
 
Materials :
1-7 MST: 3 1, 2, 3, 4
b.  Jigsaw Puzzle Project- Students create puzzles using various geometric shapes.
 
 
 
 
 
 
 
 
Materials: Teacher created packet
3, 4, 5, 7 MST: 3 1, 2, 3, 4, 5
c.
 
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

4. Cross Disciplinary
 
Activity Benchmark Standard Application Level
a.  Small group library activity- See page 378 in teacher text.
 
 
 
 
 
 
Materials:
6 MST: 3 1, 2, 3, 4, 5
b.
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

5. Miscellaneous
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials:
     
b.
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 

E. Vocabulary


E.  Vocabulary
Acute angle
Angle
Congruent
Decagon
Degree
Equilateral triangle
Hexagon
Line
Line of symmetry
Line segment
Obtuse angle
Octagon
Parallel
Parallelogram
Pentagon
Perpendicular
Point
Polygon
Protractor
Quadrilateral
Ray
Rectangle
Regular polygon
Right angle
Similar
Square
Straightedge
Triangle
Vertex
 
F.  References and Resources

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Glencoe Mathematics Applications and Connections, Course 1
Glencoe Teacher Classroom Resources, Course 1
 
 
 
 
 
 
 
 
 
 

Unit Nine
 
Geometry (Area and Volume)

A.  Unit Benchmarks
Students will be able to:
1.  Find the area of triangles.
 
2.  Find the area of squares and rectangles. (See Unit 4)
 
3.  Identify three-dimensional figures. (sphere, cube, rectangular prism, square pyramid)
 
4.  Find the volume of rectangular prisms.
 
 
 
 
 
 
 
 
 
 
 
 
 

B. Unit Assessment


B.  Unit Assessment
Quizzes
Mid- chapter self-check
Unit Test
Extended Response Questions
Observation/ Dialogue
Informal checks for understanding through use of oral and written questions.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

C. Rubric


C.  Rubric
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

D. Activities


D.  Activities
 
1. Teacher Constructed Activities:
 
Activity Benchmark Standard Application Level
a.  Graph Paper- Use to show the area of squares, rectangles, and triangles.
 
 
 
 
 
Materials: graph paper
1, 2 MST: 3 1, 2
b.  Jewelry box Activity- Find volume using cm cubes.
 
 
 
 
 
 
Materials: boxes, cm cubes, rulers
4 MST: 3 1, 2
c.  Geometry BINGO- Students identify 2 and 3 dimensional shapes.
 
 
 
 
Materials: BINGO cards, BINGO chips, examples of geometry shapes.
3 MST: 3 1, 2
d.
 
 
 
 
 
 
 
Materials
     
e.
 
 
 
 
 
 
 
Materials :
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

2. Textbook with Teaching Strategies
 
Activity Benchmark Standard Application Level
a.  Textbook pages 394-431 can be used in class and for homework
 
 
 
 
 
Materials:
1-4 MST: 3 1, 2, 3, 4, 5
b.  Writing Activity- See page 414 in teacher text.
 
 
 
 
 
 
Materials: library resources
3 MST: 3 1, 2, 3, 4, 5
c.  Mini-lab Activity- See page 418 in text.
 
 
 
 
 
 
 
 
Materials: cm cubes
4 MST: 3 1, 2
 
d.
 
 
 
 
 
 
 
Materials
     
e.
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

3. Computer Assisted Instruction
 
Activity Benchmark Standard Application Level
a.  Test and review software available in teacher set.
 
 
 
 
 
 
 
 
Materials :
1-4 MST: 3 1, 2, 3, 4
b.
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

4. Cross Disciplinary
 
Activity Benchmark Standard Application Level
a.  Writing Activity- See page 414 in teacher text.
 
 
 
 
 
 
 
 
 
Materials: library resources
3 MST: 3 1, 2, 3, 4, 5
b.
 
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

5. Miscellaneous
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials:
     
b.
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 

E. Vocabulary


E.  Vocabulary
Base
Center
Cube
Edge
Face
Height
Prism
Rectangular prism
Sphere
Square pyramid
Three-dimensional figure
Vertex
Volume
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
F.  References and Resources

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Glencoe Mathematics Applications and Connections, Course 1
Glencoe Teacher Classroom Resources, Course 1
 
 
 
 
 
 
 
 
 
 

Unit Ten
 
Equations

A.  Unit Benchmarks
Students will be able to:
1.  Solve addition equations by using models.
 
2.  Solve subtraction equations by using models.
 
3.  Solve multiplication and division equations by using models.
 
4.  Solve one-step equations using models.
 
5.  Solve problems by using equations.
 
6.  Determine the rules and complete function tables.
 
 
 
 
 
 
 
 
 
 
 
 
B.  Unit Assessment
Quizzes
Extended Response Questions
Observation/ Dialogue
Informal checks for understanding through use of oral and written questions.
Unit Test
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

C. Rubric


C.  Rubric
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

D. Activities


D.  Activities
 
1. Teacher Constructed Activities:
 
Activity
 
Benchmark Standard Application Level
a.  Balance scale- use to solve whole number equations.
 
 
 
 
 
 
Materials: balance scale, weights, transparencies
1, 2, 3, 4 MST: 3 1, 2, 3, 4, 5
b.  QUIZMO (change game to solve whole number equations)
 
 
 
 
 
Materials: QUIZMO, chips
1, 2, 3, 4 MST: 3 1, 2
c.
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
Materials
     
e.
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

2. Textbook with Teaching Strategies
 
Activity Benchmark Standard Application Level
a.  Textbook pages 474-509 can be used in class and for homework. Adapt using only whole numbers.
 
 
 
 
Materials:
1-6 MST: 3 1, 2, 3, 4, 5
b.  Function Machine- See pages 494-495 in text. Adapt using only whole numbers.
 
 
 
 
Materials: scissors, index cards, pocket chart(optional)
6 MST: 3 1, 2
c.
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
Materials:
     
e.
 
 
 
 
 
Materials:
     
f.
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

3. Computer Assisted Instruction
 
Activity Benchmark Standard Application Level
a.  Test and review software available in teacher set.
 
 
 
 
 
 
 
 
 
Materials:
1-6 MST: 3 1, 2, 3, 4
b.
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

4. Cross Disciplinary
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
 
Materials:
 
     
b.
 
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

5. Miscellaneous
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials:
     
b.
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 

E. Vocabulary


E.  Vocabulary
Equation
Function
Function machine
Function table
Input
Output
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
F.  References and Resources

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Glencoe Mathematics Applications and Connections, Course 1
Glencoe Teacher Classroom Resources, Course 1
 
 
 
 
 
 
 
 
 
 
 

Unit Eleven
 
Probability

A.  Unit Benchmarks
Students will be able to:
1.  Explore fair and unfair games.
 
2.  Find and interpret the theoretical probability of an event.
 
3.  Predict the actions of a larger group using a sample.
 
4.  Find outcomes using lists, tree diagrams, and combinations.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
B.  Unit Assessment
Quizzes
Extended Response Questions
Observation/ Dialogue
Informal checks for understanding through use of oral and written questions.
Mid-chapter self check
Unit Test
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

C. Rubric


C.  Rubric
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

D. Activities


D.  Activities
 
1. Teacher Constructed Activities:
 
Activity
 
Benchmark Standard Application Level
a.  Dice experiment- Students work in cooperative groups to find probabilities and make predictions.
 
 
 
 
 
Materials: worksheet (frequency table), number cubes
1, 2, 3 MST: 3 1, 2, 3, 4, 5
b.
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
Materials
     
e.
 
 
 
 
 
 
Materials :
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

2. Textbook with Teaching Strategies
 
Activity Benchmark Standard Application Level
a.  Textbook pages 512-545 can be used in class and for homework
 
 
 
 
Materials:
1-4 MST: 3 1, 2, 3, 4, 5
b.  Fair and Unfair Games- See page 515 in text.
 
 
 
 
Materials: number cubes, charts
1 MST: 3 1, 2
c.  Journal Activity- See page 522 in teacher text.
 
 
 
 
Materials:
3 MST: 3 1, 2, 3, 4, 5
d.  Mini-lab—See page 523 in text.
 
 
 
 
Materials:
3 MST: 3 1, 2, 3, 4, 5
e.  Writing Activity- See page 531 in teacher text.
 
 
 
 
Materials:
4 MST: 3 1, 2, 3, 4, 5
f.
 
 
 
 
Materials:
     
g.
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

3. Computer Assisted Instruction
 
Activity Benchmark Standard Application Level
a.  Test and review software available in teacher set.
 
 
 
 
 
 
 
 
 
Materials:
1-4 MST: 3 1, 2, 3, 4
b.
 
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

4. Cross Disciplinary
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
 
Materials:
     
b.
 
 
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines

5. Miscellaneous
 
Activity Benchmark Standard Application Level
a.
 
 
 
 
 
 
 
 
Materials:
     
b.
 
 
 
 
 
 
 
 
Materials:
     
c.
 
 
 
 
 
 
 
 
Materials:
     
d.
 
 
 
 
 
 
 
 
Materials:
     

 
Application Level:
1:  Knowledge      4: Apply to Real World Predictable Situations
2: Apply in Discipline    5: Apply to Real World Unpredictable Situations
3: Apply Across Disciplines
 

E. Vocabulary


E.  Vocabulary
Certainty
Combinations
Events
Experimental probability
Fair
Impossibility
Independent event
Outcome
Population
Random
Sample
Sample space
Theoretical probability
Tree diagram
Unfair
 
 
 
 
 
 
 
 
 
 
 
 
F.  References and Resources

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Glencoe Mathematics Applications and Connections, Course 1
Glencoe Teacher Classroom Resources, Course 1
 
 
 
 
 
 
 
 
 
 
 
X.  Course Assessment

 
XI.   Curriculum Review Process
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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3
Wayne Central School District