
Course Content
A. Counting and Number Recognition
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A.01. Recognize and name numbers up to 10.
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A.02. Count objects to match a given number up to 10.
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A.03. Represent quantities using ten-frames.
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A.04. Extend counting to numbers up to 20.
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A.05. Extend counting to numbers up to 40 using ten-frames.
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A.06. Count by tens to reach 100.
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A.07. Count sequentially up to 100.
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A.08. Use a number line to represent numbers up to 100.
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A.09. Identify numbers as even or odd through observation.
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A.10. Count forward and backward within 100.
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A.11. Locate numbers on a hundred chart.
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A.12. Use a hundred chart to identify number patterns.
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A.13. Identify even and odd numbers.
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A.14. Determine the even or odd nature of a given number.
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A.15. Identify even or odd numbers on a number line.
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A.16. Determine the preceding or following even or odd number.
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A.17. Represent ordinal numbers and their sequence.
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A.18. Convert between number words and digits within 100.
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A.19. Extend skip-counting to patterns involving 2, 3, 5 and 10 using tables.
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A.20. Complete number sequences counting up and down by 1, 2, 3, 5 and 10.
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A.21. Recognize and use Roman numerals I, V, and X.
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A.22. Complete number sequences counting up and down by 100.
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A.23. Apply knowledge of number patterns to solve real-world counting problems.
B. Place Value Foundations
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B.01. Count and group objects into tens and ones (up to 30).
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B.02. Represent numbers using place value models with tens and ones.
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B.03. Count and group objects into tens and ones (up to 99).
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B.04. Decompose numbers into tens and ones.
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B.05. Identify the place value of a digit in a two-digit number (tens or ones).
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B.06. Determine the value of a digit based on its position in a two-digit number.
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B.07. Convert between a number and its representation in tens and ones.
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B.08. Apply place value understanding to compare and order two-digit numbers.
C. Comparing quantities
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C.01. Review basic comparison concepts (e.g., more, less, equal).
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C.02. Use descriptive words to compare numbers up to 10.
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C.03. Use symbols (, =) to compare numbers up to 10.
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C.04. Apply comparison vocabulary to describe the relationship between sets of objects.
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C.05. Use symbols (, =) to compare numbers up to 100.
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C.06. Use descriptive words to compare numbers up to 100.
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C.07. Solve comparison word problems involving quantities up to 100.
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C.08. Compare and order a set of numbers based on their values.
D. Understanding Addition
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D.01. Understand the identity property of addition (adding zero).
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D.02. Use pictures to model and solve addition problems (sums up to 10).
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D.03. Identify the correct model for a given addition sentence (sums up to 10).
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D.04. Interpret an addition model and write the corresponding addition sentence (sums up to 10).
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D.05. Use number lines to represent and solve addition problems (sums up to 10).
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D.06. Translate word problems into addition sentences (sums up to 10).
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D.07. Use pictures to model and solve addition problems (sums up to 20).
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D.08. Interpret an addition model and write the corresponding addition sentence (sums up to 20).
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D.09. Interpret an addition model and write the corresponding addition sentence (sums up to 100).
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D.10. Explain the relationship between addition and combining sets.
E. Understanding Subtraction
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E.01. Understand the zero property of subtraction and subtracting a number from itself.
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E.02. Use pictures to model and solve subtraction problems (numbers up to 10).
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E.03. Identify the correct model for a given subtraction sentence (numbers up to 10).
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E.04. Interpret a subtraction model and write the corresponding subtraction sentence (numbers up to 10).
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E.05. Use number lines to represent and solve subtraction problems (numbers up to 10).
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E.06. Translate word problems into subtraction sentences (numbers up to 10).
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E.07. Use pictures to model and solve subtraction problems (numbers up to 20).
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E.08. Interpret a subtraction model and write the corresponding subtraction sentence (numbers up to 20).
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E.09. Interpret a subtraction model and write the corresponding subtraction sentence (numbers up to 100).
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E.10. Explain the relationship between subtraction and taking away from a set.
F. Addition Skill Builders
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F.01. Practice adding 0 to numbers within 20.
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F.02. Practice adding 1 to numbers within 20.
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F.03. Practice adding 2 to numbers within 20.
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F.04. Practice adding 3 to numbers within 20.
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F.05. Practice adding 4 to numbers within 20.
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F.06. Practice adding 5 to numbers within 20.
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F.07. Practice adding 6 to numbers within 20.
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F.08. Practice adding 7 to numbers within 20.
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F.09. Practice adding 8 to numbers within 20.
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F.10. Practice adding 9 to numbers within 20.
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F.11. Practice adding 10 to numbers within 20.
G. Subtraction Skill Builders
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G.01. Practice subtracting 0 from numbers within 20.
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G.02. Practice subtracting 1 from numbers within 20.
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G.03. Practice subtracting 2 from numbers within 20.
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G.04. Practice subtracting 3 from numbers within 20.
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G.05. Practice subtracting 4 from numbers within 20.
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G.06. Practice subtracting 5 from numbers within 20.
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G.07. Practice subtracting 6 from numbers within 20.
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G.08. Practice subtracting 7 from numbers within 20.
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G.09. Practice subtracting 8 from numbers within 20.
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G.10. Practice subtracting 9 from numbers within 20.
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G.11. Practice subtracting 10 from numbers within 20.
H. Addition Fluency
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H.13. Use models to add a two-digit and a one-digit number (without regrouping).
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H.14. Add a two-digit and a one-digit number (without regrouping).
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H.15. Regroup tens and ones to represent a number in different ways.
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H.16. Demonstrate understanding of regrouping tens and ones.
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H.17. Use models to add a two-digit and a one-digit number (with regrouping).
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H.18. Add a two-digit and a one-digit number (with regrouping).
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H.19. Use models to add two-digit numbers (without regrouping).
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H.20. Add two-digit numbers (without regrouping).
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H.21. Use models to add two-digit numbers (with regrouping).
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H.22. Add two-digit numbers (with regrouping).
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H.23. Solve addition word problems involving two-digit numbers.
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H.24. Identify related addition facts.
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H.25. Apply addition skills to solve multi-step word problems.
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H.01. Recall addition facts with sums up to 10.
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H.02. Complete addition sentences with sums up to 10.
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H.03. Identify different ways to make a number using addition (sums up to 10).
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H.04. Solve addition word problems with sums up to 10.
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H.05. Translate addition word problems into addition sentences (sums up to 10).
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H.06. Determine if an addition sentence is true or false.
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H.07. Use number lines to represent and solve addition problems (sums up to 20).
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H.08. Recall addition facts with sums up to 20.
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H.09. Identify different ways to make a number using addition (sums up to 20).
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H.10. Complete addition sentences with sums up to 20.
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H.11. Solve addition word problems with sums up to 20.
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H.12. Translate addition word problems into addition sentences (sums up to 20).
I. Subtraction Fluency
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I.01. Recall subtraction facts with numbers up to 10.
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I.02. Complete subtraction sentences with numbers up to 10.
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I.03. Identify different ways to subtract from a number (numbers up to 10).
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I.04. Identify different ways to make a number using subtraction (numbers up to 10).
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I.05. Solve subtraction word problems with numbers up to 10.
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I.06. Translate subtraction word problems into subtraction sentences (numbers up to 10).
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I.07. Determine if a subtraction sentence is true or false.
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I.08. Use number lines to represent and solve subtraction problems (numbers up to 20).
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I.09. Recall subtraction facts with numbers up to 20.
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I.10. Solve subtraction word problems with numbers up to 20.
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I.11. Translate subtraction word problems into subtraction sentences (numbers up to 20).
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I.12. Identify different ways to make a number using subtraction (numbers up to 20).
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I.13. Complete subtraction sentences with numbers up to 20.
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I.14. Use models to subtract a one-digit number from a two-digit number (without regrouping).
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I.15. Subtract a one-digit number from a two-digit number (without regrouping).
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I.16. Use models to subtract a one-digit number from a two-digit number (with regrouping).
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I.17. Subtract a one-digit number from a two-digit number (with regrouping).
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I.18. Use models to subtract two-digit numbers (without regrouping).
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I.19. Subtract two-digit numbers (without regrouping).
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I.20. Use models to subtract two-digit numbers (with regrouping).
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I.21. Subtract two-digit numbers (with regrouping).
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I.22. Solve subtraction word problems involving two-digit numbers.
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I.23. Identify related subtraction facts.
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I.24. Apply subtraction skills to solve multi-step word problems.
J. Addition Strategies
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J.01. Use models to illustrate and solve addition problems involving doubles.
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J.02. Recall and apply addition facts involving doubles.
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J.03. Complete addition sentences involving doubles.
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J.04. Apply the doubles plus one strategy to solve addition problems.
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J.05. Apply the doubles minus one strategy to solve addition problems.
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J.06. Use doubles to add three numbers efficiently.
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J.07. Complete addition sentences using the make-ten strategy.
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J.08. Use the make-ten strategy to add three numbers.
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J.09. Apply the make-ten strategy to solve addition problems.
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J.10. Add three numbers using various strategies.
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J.11. Solve word problems involving the addition of three numbers.
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J.12. Use models to add a multiple of ten and a one-digit number.
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J.13. Add a multiple of ten and a one-digit number.
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J.14. Use a hundred chart to add a two-digit number and a one-digit number
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J.15. Add two multiples of ten.
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J.16. Use a hundred chart to add a multiple of ten and a two-digit number
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J.17. Use models to add a multiple of ten and a two-digit number.
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J.18. Add a multiple of ten and a two-digit number.
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J.19. Use compensation to simplify and solve addition problems.
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J.20. Explain and justify the use of different addition strategies.
K. Subtraction Strategies
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K.01. Recognize the relationship between addition and subtraction sentences.
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K.02. Subtract by counting on (up to 20).
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K.03. Apply knowledge of doubles to solve subtraction problems.
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K.04. Subtract multiples of 10 from two-digit numbers.
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K.05. Subtract a multiple of 10 from a two-digit number.
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K.06. Use compensation to simplify and solve subtraction problems.
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K.07. Select and justify the appropriate subtraction strategy for a given problem.
L. Understand Multiplication
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L.01. Count and identify equal groups of objects.
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L.02. Identify multiplication expressions that represent equal groups.
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L.03. Write multiplication sentences to describe equal groups.
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L.04. Relate addition and multiplication for equal groups.
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L.05. Identify multiplication expressions that represent arrays.
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L.06. Write multiplication sentences to describe arrays.
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L.07. Construct arrays to model multiplication problems.
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L.08. Write two multiplication sentences for a given array (commutative property).
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L.09. Represent multiplication on a number line.
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L.10. Explain the concept of multiplication as repeated addition.
M. Multiplication Facts
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M.01. Multiply numbers by 2.
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M.02. Multiply numbers by 3.
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M.03. Multiply numbers by 4.
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M.04. Multiply numbers by 5.
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M.05. Recall multiplication facts up to 5×5.
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M.06. Multiply numbers by 10.
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M.07. Recall multiplication facts for 2, 5, and 10.
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M.08. Determine if multiplication facts for 2, 5, and 10 are true or false.
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M.09. Find the missing factor in multiplication facts for 2, 5, and 10.
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M.10. Solve multiplication word problems.
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M.11. Apply multiplication facts to solve real-world problems.
N. Understand Division
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N.01. Divide objects by counting equal groups.
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N.02. Write division sentences to describe equal groups.
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N.03. Relate multiplication and division for equal groups.
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N.04. Write division sentences to describe arrays.
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N.05. Construct arrays to model division problems.
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N.06. Relate multiplication and division for arrays.
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N.07. Understand and explain the relationship between multiplication and division.
O. Division Facts
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O.01. Divide numbers by 2.
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O.02. Divide numbers by 3.
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O.03. Divide numbers by 4.
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O.04. Divide numbers by 5.
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O.05. Identify divisors and quotients up to 5.
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O.06. Divide numbers by 10.
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O.07. Recall division facts for 2, 5, and 10.
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O.08. Determine if division facts for 2, 5, and 10 are true or false.
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O.09. Solve division word problems.
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O.10. Apply division facts to solve real-world problems.
P. Mixed Operations Mastery
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P.01. Use addition and subtraction to find different ways to make a number.
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P.02. Determine the correct operation (+ or -) to make a number sentence true.
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P.03. Identify and complete fact families for addition and subtraction.
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P.04. Fluently solve addition and subtraction facts with numbers up to 10.
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P.05. Fluently solve addition and subtraction facts with numbers up to 20.
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P.06. Solve addition and subtraction word problems with numbers up to 20.
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P.07. Determine ten more or ten less than a given number.
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P.08. Add and subtract multiples of ten.
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P.09. Add and subtract numbers up to 100.
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P.10. Solve addition and subtraction word problems with numbers up to 100.
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P.11. Solve two-step addition and subtraction word problems with numbers up to 100.
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P.12. Identify and understand addition and subtraction terms (e.g., sum, difference).
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P.13. Recall multiplication and division facts with 2, 5, and 10.
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P.14. Determine if multiplication and division facts with 2, 5, and 10 are true or false.
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P.15. Recall multiplication and division facts up to 5×5 and 25/5 respectively
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P.16. Identify and understand multiplication and division terms (e.g., product, quotient).
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P.17. Create and solve multi-step word problems involving mixed operations.
Q. Estimation Skills
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Q.01. Estimate a number to the nearest ten.
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Q.02. Apply estimation skills to real-world situations.
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Q.03. Evaluate the reasonableness of an estimate in a given context.
R. Introduction to Fractions
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R.01. Identify equal parts of a whole.
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R.02. Recognize and represent halves and quarters of shapes and objects.
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R.03. Recognize and represent halves, thirds, and quarters of shapes and objects.
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R.04. Identify the fraction represented by a shaded portion of a shape (halves, thirds, quarters).
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R.05. Select the shape that matches a given fraction (halves, thirds, quarters).
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R.06. Determine fractions of a group of objects (halves, thirds, quarters).
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R.07. Represent halves, thirds, and quarters on a number line.
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R.08. Model and solve word problems involving fractions of a whole (halves, thirds, quarters).
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R.09. Solve word problems involving fractions of a whole (halves, thirds, quarters).
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R.10. Identify the fraction represented by a shaded portion of a shape (up to tenths).
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R.11. Select the shape that matches a given fraction (up to tenths).
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R.12. Determine fractions of a group of objects (up to tenths).
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R.13. Solve word problems involving fractions of a whole (up to tenths).
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R.14. Model and solve word problems involving fractions of a whole (up to tenths).
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R.15. Solve word problems involving fractions of a whole (up to tenths).
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R.16. Compare fractions with the same denominator.
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R.17. Explain and justify the reasoning behind fraction comparisons.
S. Pattern Recognition and Creation
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S.01. Recognize and identify patterns.
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S.02. Predict the next shape in a given pattern.
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S.03. Extend and complete a given pattern.
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S.04. Create a new pattern.
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S.05. Recognize and identify growing patterns.
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S.06. Predict the next shape in a growing pattern.
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S.07. Predict the next row in a growing pattern.
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S.08. Describe the rule governing a given pattern.
T. Sorting, Ordering, and Classifying
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T.01. Classify and sort objects by shape.
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T.02. Classify, sort, and count objects based on different attributes.
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T.03. Count shapes in a Venn diagram.
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T.04. Sort shapes into a Venn diagram based on their properties.
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T.05. Order numbers from least to greatest and greatest to least.
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T.06. Create and interpret classification systems for organizing data.
U. Measurement Fundamentals
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U.01. Compare the length of objects (long and short).
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U.02. Compare the height of objects (tall and short).
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U.03. Compare the weight of objects (light and heavy).
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U.04. Compare the capacity of containers (holds more or less).
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U.05. Compare size, weight, and capacity of different objects.
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U.06. Measure objects using non-standard units.
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U.07. Read and interpret a thermometer.
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U.08. Measure objects using a centimetre ruler.
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U.09. Select the appropriate metric unit of length for a given object.
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U.10. Solve word problems involving metric units of length.
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U.11. Select the appropriate metric unit of mass for a given object.
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U.12. Select the appropriate metric unit of volume for a given object.
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U.13. Solve word problems involving metric units of mass and volume.
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U.14. Convert between different metric units of length, mass, and volume.
V. Money Matters
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V.01. Identify the value of different coins (1p, 2p, 5p, 10p, 20p, 50p, £1, £2).
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V.02. Count collections of 1p, 2p, 5p, and 10p coins.
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V.03. Count collections of all coins.
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V.04. Count collections of coins and notes (up to £20 note).
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V.05. Create equivalent groups of coins.
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V.06. Exchange coins for other coins of equal value.
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V.07. Solve word problems involving money.
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V.08. Determine the least number of coins needed to make a given amount.
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V.09. Determine if you have enough money to make purchases up to £1.
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V.10. Determine if you have enough money to make purchases up to £10.
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V.11. Compare different money amounts.
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V.12. Calculate making change from a purchase.
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V.13. Apply money skills to solve real-world financial problems.
W. Time Telling and Duration
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W.01. Match digital clocks to corresponding times.
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W.02. Match analogue clocks to corresponding times.
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W.03. Match analogue and digital clocks showing the same time.
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W.04. Read time on a clock and write the corresponding time (digital and analogue).
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W.05. Understand and use time-related vocabulary (o’clock, half past, quarter past, quarter to).
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W.06. Differentiate between A.M. and P.M. times.
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W.07. Relate times to everyday events.
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W.08. Compare different times shown on clocks.
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W.09. Solve word problems involving time and clocks.
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W.10. Calculate elapsed time (simple intervals).
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W.11. Identify and describe the seasons of the year.
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W.12. Name and order the days of the week.
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W.13. Name and order the months of the year.
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W.14. Read and interpret a calendar.
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W.15. Read and interpret schedules.
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W.16. Estimate the duration of common activities.
X. Geometric Shapes: 2D and 3D
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X.01. Name common two-dimensional shapes (circle, square, triangle, rectangle).
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X.02. Select specified two-dimensional shapes from a group.
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X.03. Identify two-dimensional shapes in real-world objects.
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X.04. Count the sides and vertices of two-dimensional shapes.
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X.05. Compare the sides and vertices of different two-dimensional shapes.
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X.06. Identify shapes with equal sides.
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X.07. Differentiate between open and closed shapes.
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X.08. Identify lines of symmetry in two-dimensional shapes.
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X.09. Compose new shapes by combining two-dimensional shapes.
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X.10. Analyze and describe the properties of composite shapes.
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X.11. Recognize and differentiate between two-dimensional and three-dimensional shapes.
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X.12. Name common three-dimensional shapes (cube, sphere, cone, cylinder).
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X.13. Select specified three-dimensional shapes from a group.
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X.14. Count the vertices, edges, and faces of three-dimensional shapes.
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X.15. Compare the vertices, edges, and faces of different three-dimensional shapes.
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X.16. Identify shapes traced from the faces of solid figures.
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X.17. Identify the faces of three-dimensional shapes.
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X.18. Identify three-dimensional shapes in real-world objects.
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X.19. Compare and contrast the properties of 2D and 3D shapes.
Y. Spatial Reasoning
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Y.01. Identify objects positioned on the left, middle, and right.
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Y.02. Identify objects positioned on the top, middle, and bottom.
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Y.03. Determine the location of an object in a grid.
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Y.04. Identify objects that are above or below another object.
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Y.05. Identify objects that are beside or next to another object.
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Y.06. Recognize and describe transformations (flip, turn, slide).
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Y.07. Relate fractions to turns (e.g., a quarter turn).
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Y.08. Visualize and mentally manipulate objects in space.
Z. Data Representation and Interpretation
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Z.01. Identify the correct tally chart representing a given dataset.
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Z.02. Interpret information presented in tally charts.
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Z.03. Identify the correct table representing a given dataset.
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Z.04. Interpret data presented in tables.
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Z.05. Interpret data presented in pictograms (level 1).
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Z.06. Interpret data presented in pictograms (level 2).
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Z.07. Create pictograms to represent given data (level 1).
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Z.08. Create pictograms to represent given data (level 2).
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Z.09. Interpret information presented in bar graphs.
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Z.10. Identify the correct bar graph representing a given dataset.
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Z.11. Create bar graphs to represent given data.
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Z.12. Analyze and compare data presented in different types of graphs.
AA. Understanding Probability
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AA.03. Conduct simple experiments and record the outcomes to determine probabilities.
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AA.01. Describe the likelihood of an event using terms like “more likely,” “less likely,” and “equally likely.”
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AA.02. Describe the certainty of events using terms like “certain,” “probable,” “unlikely,” and “impossible.”