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Numbers and Numeration
Conservation of Numbers |
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N1 One to one correspondence | 2A
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N2 Counting cardinal numbers up to 100 by ones and tens | 2A, 2D
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N3 Counting to 100, forward and backward by ones and twos, on a number line matching of words and symbols 0-15 | 2A
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N4 Place value to 100 | 2C
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N5 Estimate quantity and grouping by using manipulatives, expanded notation 17=10+7 | 6A
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N6 Introduce concept of odd and even | 2B
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N7 Introduce symbols =,<,> | 7B
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N8 Counting ordinal numbers 1-5 | 2A, 2D
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N9 Counting ordinal numbers 6-10 | 2A, 2D
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N10 Develop concept of first, middle, last | 2A
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N11 Investigate patterns for sums and differences using concrete models | 3A
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N12 Counting orally ordinal numbers 1st to 31st and beyond | 2A, 2B
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N13 Count to 1,000 | 2A, 2B
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N14 Count by 2’s, 3’s 4’s 5’s and 10’s using a number line and number charts | 2A, 2B
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N15 Write numbers 0-10 | 7B
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N16 Place value to 999, expanded notation 999=9 hundreds+9 tens + 9 ones: 900 + 90 + 9 | 2B
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N17 Rounding using a number line to 100 | 6A
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N18 Count cardinal numbers through 100,000 | 2A
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N19 Count ordinal numbers through 500 | 2A
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N20 Count to 100’s by 2’s, 3’s, 4’s, 5’s and 10’s | 2B
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N21 Use place value in decimals and in reading numbers through 100,000 with money | 2A
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N22 Round numbers to hundreds | 6A
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N23 Round numbers to thousands | 6A
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N24 Introduce concept of positive and negative integers (temperature) | 2B
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N25 Predict odd or even numbers in addition and subtraction | 2B, 7B
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N26 Read and write whole numbers to hundred millions | 2A, 2C
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N27 Skip count to numbers greater than 100 | 2B
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N28 Extend place value to concepts to millions and hundredths | 2C
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N29 Round numbers to nearest whole number | 6D
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N30 Predict when product of two numbers will be odd or even | 2B, 7B
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N31 Continue discussion of positive and negative numbers, temperature | 2B
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N32 Look for patterns in sequences of positive numbers | 1B
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N33 Read and write numbers to one billion | 2A
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N34 Investigate powers of 10 in place value (hundreds place is 10 squared or 10x10) | 2A
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N35 Express numbers in expanded notation using powers of 10 | 2A
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N36 Round off numbers to nearest 10,000 | 6A
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N37 Use number line as aid in understanding negative concept | 2D
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Operations With Whole Numbers and Integers
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O1 Addition and subtraction of whole numbers: combine sets to produce new sets and explore the idea of one more | 3A
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O2 Sharing of sets such as cookies or crayons as objects for Multiplication and Division | 3A
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O3 Introduce role of zero in addition and subtraction | 3B, 3C
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O4 Practice addition and subtraction of sums and differences through 10 | 3A
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O5 Add three numbers with sum being 10 or less | 3D
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O6 Develop concept of order | 3C, 3D
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O7 Regrouping of two digit numbers | 3A
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O8 Explore inequality in number sentences 2<3 | 7C
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O9 Explore different groupings when adding three or more numbers (associative property) 2+(6+4) with or without manipulatives | 3D
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O10 Show inverse operations (addition and subtraction) | 3A
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O11 Explore multiplication and division through sharing sets or groups | 3B
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O12 Show inverse operations of multiplication and division | 3B, 3C
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O13 Show that order of factors in multiplication problems does not change answer (cumulative property) | 3B, 3C
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O14 Practice estimation with operations | 6B
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O15 Addition and subtraction mastering sums and differences through 18 | 3A, 3C
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O16 Add and subtract three digit numbers with no regrouping | 3A
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O17 Addition and subtraction up to two digit numbers requiring regrouping | 3A
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O18 Add and subtract 2,3, and 4 digit numbers totaling 10,000 or less | 3A
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O19 Explore role of 0 and 1 in multiplication (identify) | 3C
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O20 Experiment with grouping (associative of multiplication) | 3D
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O21 Work with multiplication and division products and quotients through 100 | 3C
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O22 Study of algorithms for division (one digit divisor) | 3A
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O23 Study of commutative property by name (multiplication) | 3B
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O24 Explore division in finding number of equal groups of items | 1A
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O25 Emphasize multiplication and division being inverse operations | 3B
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O26 Concepts of equality and inequality in all four operations | 7B, 7C
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O27 Add and subtract whole numbers with sums less than one million | 3A
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O28 Subtract whole numbers when zero is in the minuend with regrouping | 3A
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O29 Estimation of sums and differences prior to computation | 1D, 6E
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O30 Find missing addends in an addition sentence | 1D
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O31 Introduce concept of a prime factor | 2B
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O32 Multiplication of three digit numbers by two digits | 3A
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O33 Multiplication by multiples of 10 | 3A
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O34 Find common factors of groups of numbers less than 100 | 2B, 2D
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O35 Begin concept of least common factor and greatest common multiple | 2B, 2D
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O36 Find quotient and remainder when three digit number is divided by one digit number | 3A
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O37 Find quotient and remainder when three digit number is divided by a two digit number | 3B
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O38 Use inverse operations to check division by multiplication | 3B
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O39 Investigate distributive property 326X4= (300X4) + (20X4) +6X4)) | 3B
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O40 Quick review of operations | 3A
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O41 Literal problems using single operations across curriculum | 3A
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O42 Develop concept of order of operation (addition, subtraction, multiplication, and division) | 3B
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O43 Continue to find greatest common factor and least common multiple | 2C
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Fractions and Decimals
|
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F1 Awareness in daily life (money) | 5B
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F2 Concept of half | 2B
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F3 Develop concept of unit fractions | 2B
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F4 Develop concept of oneness | 2B
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F5 Explore many to one (five fingers to one hand) | 2E
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F6 Use money to develop concept of decimals | 2C
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F7 Relate units to whole | 2D
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F8 Unit fractions to 1/8, 1/10 | 2D
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F9 Location of halves on number line and ruler | 2D
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F10 Find 1/2, 1/3, 1/4 of a collection | 2D
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F11 Relate many to one in preparation for the concept of ratio (5 fingers to 1 hand) | 2E
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F12 Concept of ratio | 2E
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F13 Explore money notation using two place decimals | 2C
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F14 Order unit fractions using < and > symbols with denominators 2,3,4,5,6,8,10,12 | 2B, 2D
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F15 Review concept of 1=2/2 etc. | 2B
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F16 Use terms numerator and denominator | 2B
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F17 Find equivalent fractions | 2B
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F18 Relate fractions and decimals to money and metric system | 2A
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F19 Add and subtract like denominators | 2B
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F20 Add and subtract decimals with one tenth | 2B
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F21 Compare fractions on a number line and decimals to tenths | 2B
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F22 Study order of unit fractions | 2B
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F23 Correlate the common fraction notation for decimals to the tenths place (1/10 =0.1, .1, etc.) | 2B
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F24 Add and subtract fractions with unlike denominators | 2B
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F25 Add and subtract decimals to the hundredths place | 2D
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F26 Multiply decimal to tenths | 3A
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F27 Practice locating decimal points in products | 2D
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F28 Develop concept of proper and improper fractions | 2A
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F29 Develop concept of percent in multiples of five | 2E
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F30 Continue addition and subtraction of fractions with like and unlike denominators | 3A
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F31 Change improper fractions to mixed number | 2A
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F32 Compare fractions to fractions and decimals to decimals | 2D
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F33 Addition and subtraction of decimals with hundredths and thousandths | 3A
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F34 Multiply and divide decimals to hundredths | 3A
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F35 Multiply and divide decimals by powers of 10 | 3A
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F36 Round off decimals to thousandths | 6A
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F37 Use pictures and or graphic illustrations to demonstrate multiplication and division of fractions | 1A, 3D
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F38 Practice writing equivalent forms of common fractions
and decimals 1/2 = .5 |
2A, 2B
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F39 Multiplication of fractions | 2A, 2B
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F40 Multiplication and mixed numbers and division of fractions | 2A, 2B
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Probability and Statistics
|
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P1 Organize and classify data (e.g. color, size, and shape) | 4B, 5D
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P2 Likeness and difference concept of more, less and same | 4B
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P3 Certainty and uncertainty/ guessing and estimation | 6A, 6B
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P4 Collect data and record results | 4B
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P5 Practice prediction | 6C
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P6 Collect and tabulate data | 4B, 4C
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P7 Arrange data using tables and graphs | 4B, 4C
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P8 Compare data | 4B, 5E, 7D
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P9 Investigate beginning logic | 1D
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P10 Collect statistical data from newspapers, magazines, polls, and activities in other content areas | 6G
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P11 Organize data using tables and bar graphs | 4B, 7F
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P12 Discuss graphs used in everyday publications | 4B, 7F
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P13 Conduct experiments and predict outcomes | 6F
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Strand | Standard
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P14 Use fractional notation to express probability of outcomes | 6H
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P15 Use orderly methods to count number of outcomes in an experiment (pictures, models, tree diagrams) | 6H
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P16 Introduce logic concepts | 1D
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P17 Make frequency tables from tallied data | 5E, 6G
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P18 Use models, pictures and tree diagrams | 6E
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P19 Examine range and differences between smallest and largest | 7F
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P20 Develop concept of average (arithmetic mean) | 7F
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P21 Continue to explore methods of collecting and analyzing data | 5D
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P22 Use tables, graphs and diagrams to represent collected data | 5E
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P23 Use compass and protractors to construct circle graphs | 4I
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P24 Continue to investigate logic concepts | 1D
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P25 Compare bar, line and circle graphs which represent same information | 5E
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P26 Determine probabilities of independent events | 6E
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P27 Make arrangements and combinations | 6C
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Strand | Standard
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Geometry and Measurement
|
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G1 Compare dimensions of various objects using terms like larger than, taller than, smaller than, shorter than, as long as, farther, or nearer; measure objects using non-standard units | 5A, 5C
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G2 Compare capacity of containers using sand and water | 5B
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G3 Compare temperatures/duration of time | 5A, 5B
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G4 Weighing experiences using terms heavier than and lighter than | 5A
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G5 Observe objects in the environment that have geometric shapes; make geometric pictures, patterns, and designs using geometric shapes. | 4D, 7A, 7E
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G6 Study time to the hour, day, month, and year using clocks and calendars | 5A, 5B
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G7 Investigate how to make change for amounts of money | 5B
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G8 Use meter, centimeter, and decimeter for measuring length | 5A, 5C
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G9 Introduce kilogram, liter, and Celsius thermometer | 5C
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G10 Identify shapes in everyday life | 4E
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G11 Measure objects using non-standard units | 5A, 5B
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R
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Strand | Standard
|
PK
|
K
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
G12 Weigh objects using grams, kilograms | 5B, 5C
|
M
|
R
|
||||||||
G13 Measure time in half hours, quarter hours, and 5 minutes intervals | 5A, 5B
|
I
|
T
|
M
|
|||||||
G14 Make change up to $1.00 | 5C
|
T
|
M
|
R
|
|||||||
G15 Measure liquids in liters, milliliters | 5C
|
M
|
R
|
||||||||
G16 Practice addition of measures | 3A
|
M
|
R
|
||||||||
G17 Use shapes to create designs | 4A
|
I
|
T
|
M
|
R
|
||||||
G18 Observe two and three dimensional objects | 7G
|
I
|
M
|
R
|
|||||||
G19 Introduce English units of measure | 5D
|
I
|
T
|
M
|
R
|
||||||
G20 Select and use appropriate measurement tools | 5D
|
I
|
T
|
M
|
R
|
||||||
G21 Estimate using actual units of measure | 6B
|
T
|
M
|
R
|
|||||||
G22 Identify equivalent measures within a measuring system | 5B
|
T
|
M
|
R
|
|||||||
G23 Introduce coordinate geometry (positive) | 4B
|
M
|
|||||||||
G24 Relate the clock to fractions as well as circle construction | 5B
|
I
|
T
|
M
|
R
|
||||||
G25 Find the perimeter of polygons | 5D
|
T
|
M
|
R
|
|||||||
G26 Investigate properties of plane figures (number of sides, number of angles) | 4A
|
T
|
M
|
R
|
|||||||
G27 Plane figures (polygons and circles) | 4E
|
I
|
T
|
T
|
M
|
R
|
|||||
G28 Explore three dimensional figures to understand volume (taking up space) | 4C
|
T
|
M
|
R
|
M
|
||||||
G29 Learn how to use a compass and protractor | 4E
|
I
|
T
|
M
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Strand | Standard
|
PK
|
K
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
G30 Continue to investigate symmetry | 4E
|
I
|
T
|
M
|
|||||||
G31 Find perimeter, area and volume of specific figures by counting units | 4C
|
T
|
M
|
R
|
|||||||
G32 Use rulers, protractors and compasses to construct plane geometric figures (circles and squares, etc.) | 4E
|
I
|
T
|
T
|
|||||||
G33 Use terms such as polygon, circle, chord, radius, angle, diameter, face edge, vertex, line segment, point parallel and perpendicular and intersecting | 4E
|
I
|
T
|
T
|
|||||||
G34 Extend work in coordinate geometry to both positive and negative coordinates | 2B
|
I
|
T
|
M
|
|||||||
G35 Be familiar with common metric units used in everyday life | 5A
|
I
|
T
|
M
|
|||||||
G36 Continue to study perimeter and area using graph paper and manipulative | 5B
|
I
|
T
|
M
|
R
|
||||||
G37 Develop formulas for the area and perimeter of squares and rectangles | 5C
|
I
|
T
|
M
|
R
|
||||||
G38 Measure area and perimeter of rectangles, triangles and irregular polygons using blocks, geoboards, graph paper etc. | 5C
|
T
|
M
|
||||||||
G39 Continue to measure volume (prisms) with manipulatives | 5B, 5C
|
T
|
M
|
||||||||
G40 Continue to measure temperature using Celsius and Fahrenheit thermometers | 5A
|
T
|
M
|
||||||||
G41 Continue to draw and measure plane figures using rulers, protractors, and compasses | 4I
|
I
|
T
|
M
|
R
|
||||||
G42 Use pictures to explore similar and congruent figures; symmetry | 4H
|
I
|
T
|
M
|
R
|
Strand | Standard
|
PK
|
K
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
Problem Solving
Mathematical Reasoning |
|||||||||||
P1 Develop number concepts through sorting and classifying | 1A
|
I
|
M
|
R
|
|||||||
P2 Integrate comparison of sets and counting with other activities (real life situations) | 1A
|
I
|
M
|
R
|
|||||||
P3 Participate in sorting and classifying | 1A
|
I
|
M
|
R
|
|||||||
P4 Explore likeness and differences | 1A
|
I
|
M
|
R
|
|||||||
P5 Begin to recognize number sequence | 1B
|
I
|
M
|
R
|
|||||||
P6 Relate counting to repeated patterns | 1B
|
I
|
M
|
R
|
|||||||
P7 Describe rationale for grouping or sequencing | 1C
|
I
|
M
|
R
|
|||||||
P8 Categorize objects by attributes | 1A
|
T
|
M
|
R
|
|||||||
P9 Observe likenesses and differences using at least two categories at a time | 1A
|
I
|
T
|
M
|
R
|
||||||
P10 Draw pictures and use manipulatives to represent problems | 1A
|
I
|
T
|
M
|
R
|
||||||
P11 Use models, facts and relationships to draw conclusions | 1A
|
T
|
M
|
R
|
|||||||
P12 Use statements “and” or “not” | 1A
|
I
|
T
|
||||||||
P13 Use patterns and relationships to analyze math situations | 1B
|
T
|
M
|
R
|
|||||||
P14 Be able to justify answers, math checks | 1C
|
I
|
T
|
M
|
R
|
||||||
P15 Use logical reasoning to reach simple conclusions | 1D
|
I
|
T
|
M
|
R
|
||||||
P16 Apply a variety of reasoning strategies | 1A
|
I
|
T
|
M
|
|||||||
P17 Make conclusions based on inductive reasoning | 1C
|
I
|
T
|
||||||||
P18 Justify conclusions involving simple and compound | 1D
|
I
|
T
|
Activity | Benchmark | Standard | Application Level |
a.
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b.
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c.
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d.
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Activity | Benchmark | Standard | Application Level |
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b.
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c.
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d.
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Activity | Benchmark | Standard | Application Level |
a.
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b.
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c.
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d.
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Activity | Benchmark | Standard | Application Level |
a.
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b.
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c.
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d.
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Activity | Benchmark | Standard | Application Level |
a.
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b.
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c.
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d.
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Activity | Benchmark | Standard | Application Level |
a.
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b.
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c.
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d.
Materials: |
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Activity | Benchmark | Standard | Application Level |
a.
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b.
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c.
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d.
Materials: |
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Activity | Benchmark | Standard | Application Level |
a.
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b.
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c.
Materials: |
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d.
Materials: |
HPEHE:
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Activity | Benchmark | Standard | Application Level |
a.
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||
b.
Materials: |
HPEHE:
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c.
Materials: |
HPEHE:
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d.
Materials: |
HPEHE:
MST: ELA: Arts: LOTE: CDOS: SS: |
Activity | Benchmark | Standard | Application Level |
a.
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b.
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c.
Materials: |
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d.
Materials: |
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Activity | Benchmark | Standard | Application Level |
a.
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b.
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c.
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d.
Materials: |
HPEHE:
MST: ELA: Arts: LOTE: CDOS: SS: |
Activity | Benchmark | Standard | Application Level |
a.
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b.
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c.
Materials: |
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d.
Materials: |
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MST: ELA: Arts: LOTE: CDOS: SS: |
Activity | Benchmark | Standard | Application Level |
a.
Materials: |
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||
b.
Materials: |
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MST: ELA: Arts: LOTE: CDOS: SS: |
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c.
Materials: |
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d.
Materials: |
HPEHE:
MST: ELA: Arts: LOTE: CDOS: SS: |
Activity | Benchmark | Standard | Application Level |
a.
Materials: |
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b.
Materials: |
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MST: ELA: Arts: LOTE: CDOS: SS: |
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c.
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d.
Materials: |
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MST: ELA: Arts: LOTE: CDOS: SS: |
Activity | Benchmark | Standard | Application Level |
a.
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b.
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c.
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d.
Materials: |
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Activity | Benchmark | Standard | Application Level |
a.
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b.
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c.
Materials: |
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d.
Materials: |
HPEHE:
MST: ELA: Arts: LOTE: CDOS: SS: |
Activity | Benchmark | Standard | Application Level |
a.
Materials: |
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b.
Materials: |
HPEHE:
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c.
Materials: |
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d.
Materials: |
HPEHE:
MST: ELA: Arts: LOTE: CDOS: SS: |
Activity | Benchmark | Standard | Application Level |
a.
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b.
Materials: |
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c.
Materials: |
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d.
Materials: |
HPEHE:
MST: ELA: Arts: LOTE: CDOS: SS: |
Activity | Benchmark | Standard | Application Level |
a.
Materials: |
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b.
Materials: |
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c.
Materials: |
HPEHE:
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d.
Materials: |
HPEHE:
MST: ELA: Arts: LOTE: CDOS: SS: |
Activity | Benchmark | Standard | Application Level |
a.
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b.
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c.
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d.
Materials: |
HPEHE:
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Activity | Benchmark | Standard | Application Level |
a.
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b.
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c.
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d.
Materials: |
HPEHE:
MST: ELA: Arts: LOTE: CDOS: SS: |
Activity | Benchmark | Standard | Application Level |
a.
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b.
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c.
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d.
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Activity | Benchmark | Standard | Application Level |
a.
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b.
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c.
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d.
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Activity | Benchmark | Standard | Application Level |
a.
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b.
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c.
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d.
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Activity | Benchmark | Standard | Application Level |
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b.
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c.
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d.
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Activity | Benchmark | Standard | Application Level |
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b.
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c.
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d.
Materials: |
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Activity | Benchmark | Standard | Application Level |
a.
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b.
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c.
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d.
Materials: |
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Activity | Benchmark | Standard | Application Level |
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b.
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c.
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d.
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Activity | Benchmark | Standard | Application Level |
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b.
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c.
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d.
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Activity | Benchmark | Standard | Application Level |
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b.
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c.
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d.
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