
Course Content
A. Counting and Number Recognition
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A.01. Recognize and name numbers up to 100.
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A.02. Identify whether a number is even or odd.
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A.03. Count forward and backward within 1000.
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A.04. Skip-count by twos, fives, and tens within 100.
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A.05. Extend skip-counting to sequences within 1000.
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A.06. Identify and extend counting patterns up to 100.
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A.07. Identify and extend counting patterns up to 1000.
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A.08. Use number lines to represent numbers up to 100.
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A.09. Use number lines to represent numbers up to 1000.
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A.10. Explore the structure of a hundred chart.
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A.11. Identify even or odd numbers on number lines.
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A.12. Determine the even or odd number that comes before or after a given number.
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A.13. Solve skip-counting stories and puzzles.
B. Comparing and Ordering Numbers
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B.01. Compare two numbers up to 10 using “greater than,” “less than,” or “equal to.”
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B.02. Compare pairs of numbers up to 100, identifying which is greater or less.
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B.03. Compare numbers up to 1000 using place value understanding.
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B.04. Compare numbers up to 10,000 using place value understanding.
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B.05. Order a set of numbers up to 100 from least to greatest and greatest to least.
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B.06. Order a set of numbers up to 1000 from least to greatest and greatest to least.
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B.07. Order a set of numbers up to 10,000 from least to greatest and greatest to least.
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B.08. Solve word problems involving finding the greatest and least among numbers up to 100.
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B.09. Solve word problems involving finding the greatest and least among numbers up to 1000.
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B.10. Solve word problems involving finding the greatest and least among numbers up to 10,000.
C. Place Value Foundations
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C.01. Understand place value models showing tens and ones.
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C.02. Identify the value of a digit in the tens or ones place.
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C.03. Convert numbers to and from representations using tens and ones.
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C.04. Understand place value models showing up to hundreds.
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C.05. Identify the value of a digit in the hundreds place.
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C.06. Convert numbers to and from representations using up to hundreds.
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C.07. Understand place value models showing up to thousands.
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C.08. Identify the value of a digit in the thousands place.
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C.09. Convert numbers to and from representations using up to thousands.
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C.10. Regroup tens and ones to represent the same number in different ways.
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C.11. Explore different ways to make a number by regrouping tens and ones.
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C.12. Convert between place values involving ones and hundreds.
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C.13. Convert between place values involving ones, tens, and hundreds.
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C.14. Convert between place values up to thousands.
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C.15. Convert numbers from expanded form to standard form up to hundreds.
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C.16. Convert numbers from expanded form to standard form up to thousands.
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C.17. Identify a digit in a number up to the hundreds place.
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C.18. Play ‘guess the number’ games utilizing place value clues.
D. Number Names and Representation
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D.01. Recognize and use ordinal numbers up to 10th.
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D.02. Extend understanding of ordinal numbers up to 100th.
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D.03. Convert numbers up to 100 from words to digits.
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D.04. Convert numbers up to 100 from digits to words.
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D.05. Convert numbers up to 1000 from words to digits.
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D.06. Convert numbers up to 1000 from digits to words.
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D.07. Convert numbers up to 10,000 from words to digits.
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D.08. Convert numbers up to 10,000 from digits to words.
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D.09. Distinguish between ordinal and cardinal numbers.
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D.10. Recognize and understand Roman numerals I, V, X, and L.
E. Basic Patterns
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E.01. Recognize and extend repeating patterns.
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E.02. Recognize and extend growing patterns.
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E.03. Identify the next shape in a given pattern.
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E.04. Complete a repeating pattern.
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E.05. Create a repeating pattern using various elements.
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E.06. Find the next row in a growing pattern.
F. Addition within 20
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F.01. Review addition of one-digit numbers with sums up to 10.
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F.02. Explore different ways to make a number using addition with sums up to 10.
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F.03. Match addition sentences to corresponding models with sums up to 10.
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F.04. Write addition sentences to describe pictures with sums up to 10.
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F.05. Translate word problems into addition sentences with sums up to 10.
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F.06. Add doubles using models.
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F.07. Recall and apply addition facts for doubles.
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F.08. Complete addition sentences involving doubles.
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F.09. Use the “make ten” strategy to add numbers.
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F.10. Solve addition problems with pictures and sums up to 20.
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F.11. Write addition sentences to describe pictures with sums up to 20.
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F.12. Use number lines to solve addition sentences with sums up to 20.
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F.13. Fluently add one-digit numbers.
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F.14. Complete addition input/output tables with sums up to 20.
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F.15. Understand and apply the concept of adding zero.
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F.16. Solve addition word problems involving one-digit numbers.
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F.17. Complete addition sentences with one-digit numbers.
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F.18. Write the addition sentence to represent a given problem with one-digit numbers.
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F.19. Balance addition equations involving one-digit numbers.
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F.20. Determine the truth or falsity of given addition sentences with sums up to 20.
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F.21. Add three or more one-digit numbers.
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F.22. Solve word problems involving adding three or more one-digit numbers.
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F.23. Identify repeated addition represented in arrays with sums up to 10.
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F.24. Write addition sentences to represent arrays with sums up to 10.
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F.25. Identify repeated addition represented in arrays with sums up to 25.
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F.26. Write addition sentences to represent arrays with sums up to 25.
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F.27. Solve word problems using repeated addition with sums up to 25.
G. Subtraction within 20
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G.15. Determine the truth or falsity of given subtraction sentences up to 18.
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G.01. Review subtraction of one-digit numbers up to 10.
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G.02. Explore different ways to subtract numbers up to 10.
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G.03. Practice writing subtraction sentences up to 10.
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G.04. Subtract doubles.
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G.05. Solve subtraction problems with pictures.
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G.06. Write subtraction sentences to describe pictures up to 18.
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G.07. Use number lines to solve subtraction sentences.
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G.08. Subtract a one-digit number from a two-digit number up to 18.
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G.09. Complete subtraction input/output tables up to 18.
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G.10. Understand and apply the concepts of subtracting zero and subtracting all.
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G.11. Solve subtraction word problems up to 18.
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G.12. Complete subtraction sentences up to 18.
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G.13. Write the subtraction sentence to represent a given problem up to 18.
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G.14. Balance subtraction equations up to 18.
H. Two-Digit Addition
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H.01. Use models to add a multiple of ten and a one-digit number.
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H.02. Add a multiple of ten and a one-digit number.
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H.03. Add multiples of ten.
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H.04. Write addition sentences to describe pictures involving two-digit numbers.
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H.05. Use models to add a multiple of ten and a two-digit number.
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H.06. Add a multiple of ten and a two-digit number.
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H.07. Use models to add a two-digit and a one-digit number without regrouping.
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H.08. Use models to add a two-digit and a one-digit number with regrouping.
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H.09. Add a two-digit and a one-digit number without regrouping.
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H.10. Add a two-digit and a one-digit number with regrouping.
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H.11. Use models to add two-digit numbers without regrouping.
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H.12. Use models to add two-digit numbers with regrouping.
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H.13. Add two-digit numbers without regrouping.
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H.14. Add two-digit numbers with regrouping.
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H.15. Use compensation to add numbers up to two digits.
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H.16. Complete addition input/output tables up to two digits.
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H.17. Explore different ways to make a number using addition.
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H.18. Identify related addition facts.
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H.19. Solve addition word problems up to two digits.
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H.20. Complete addition sentences up to two digits.
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H.21. Write the addition sentence to represent a given problem up to two digits.
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H.22. Balance addition equations up to two digits.
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H.23. Add three or more numbers up to two digits each.
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H.24. Solve word problems involving adding three or more numbers up to two digits each.
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H.25. Explain the relationship between addition and subtraction.
I. Two-Digit Subtraction
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I.01. Subtract multiples of ten.
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I.02. Write subtraction sentences to describe pictures involving two-digit numbers.
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I.03. Subtract a one-digit number from a two-digit number without regrouping.
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I.04. Subtract a one-digit number from a two-digit number with regrouping.
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I.05. Subtract two-digit numbers without regrouping.
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I.06. Subtract two-digit numbers with regrouping.
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I.07. Use compensation to subtract numbers up to two digits.
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I.08. Complete subtraction input/output tables up to two digits.
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I.09. Explore different ways to make a number using subtraction.
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I.10. Identify related subtraction facts.
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I.11. Solve subtraction word problems up to two digits.
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I.12. Complete subtraction sentences up to two digits.
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I.13. Write the subtraction sentence to represent a given problem up to two digits.
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I.14. Balance subtraction equations up to two digits.
J. Three-Digit Addition
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J.01. Add multiples of 100.
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J.02. Add multiples of 10 or 100.
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J.03. Use models to add three-digit numbers without regrouping.
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J.04. Use models to add three-digit numbers with regrouping.
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J.05. Add three-digit numbers.
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J.06. Complete addition input/output tables up to three digits.
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J.07. Solve addition word problems up to three digits.
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J.08. Complete addition sentences up to three digits.
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J.09. Write the addition sentence to represent a given problem up to three digits.
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J.10. Balance addition equations up to three digits.
K. Three-Digit Subtraction
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K.01. Subtract multiples of 100.
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K.02. Subtract three-digit numbers.
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K.03. Complete subtraction input/output tables up to three digits.
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K.04. Solve subtraction word problems up to three digits.
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K.05. Complete subtraction sentences up to three digits.
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K.06. Write the subtraction sentence to represent a given problem up to three digits.
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K.07. Balance subtraction equations up to three digits.
L. Mixed Operations within 100
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L.01. Add and subtract numbers up to 20.
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L.02. Explore different ways to make a number using addition and subtraction up to 20.
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L.03. Identify fact families.
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L.04. Solve addition and subtraction word problems up to 20.
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L.05. Balance addition and subtraction equations up to 20.
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L.06. Write the addition or subtraction rule for an input/output table up to 20.
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L.07. Determine the truth or falsity of given addition or subtraction sentences up to 20.
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L.08. Add and subtract numbers up to 100.
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L.09. Explore different ways to make a number using addition and subtraction up to 100.
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L.10. Identify addition and subtraction terms.
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L.11. Compare numbers using addition and subtraction shortcuts.
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L.12. Solve addition and subtraction word problems up to 100.
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L.13. Solve two-step addition and subtraction word problems up to 100.
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L.14. Balance addition and subtraction equations up to 100.
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L.15. Write the addition or subtraction rule for an input/output table up to 100.
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L.16. Determine which sign (+ or -) makes a number sentence true up to 100.
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L.17. Write addition and subtraction sentences to represent given problems.
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L.18. Compare numbers with addition and subtraction up to 100.
M. Estimation and Rounding
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M.01. Estimate a number to the nearest ten.
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M.02. Round a number to the nearest ten.
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M.03. Round a number to the nearest ten or hundred.
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M.04. Round a number to the nearest ten, hundred, or thousand.
N. Money Math
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N.01. Identify and understand coin values.
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N.02. Count money up to $1.
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N.03. Count money up to $5.
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N.04. Determine equivalent amounts of money up to $1.
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N.05. Determine equivalent amounts of money up to $5.
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N.06. Practice exchanging coins for equivalent amounts.
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N.07. Compare groups of coins to determine which has a greater value.
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N.08. Add and subtract money up to $1.
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N.09. Solve purchase scenarios to determine if you have enough money up to $1.
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N.10. Solve purchase scenarios to determine if you have enough money up to $5.
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N.11. Compare pictures showing amounts of money to determine which shows more up to $1.
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N.12. Compare pictures showing amounts of money to determine which shows more up to $5.
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N.13. Determine the least number of coins needed to make a given amount.
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N.14. Calculate how much more money is needed to make a dollar.
O. Telling Time
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O.01. Match analogue clocks to corresponding times.
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O.02. Match digital clocks to corresponding times.
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O.03. Match analogue clocks to digital clocks showing the same time.
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O.04. Read clocks and write the corresponding times.
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O.05. Understand and use time-related words: o’clock, half past, quarter past, quarter to.
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O.06. Differentiate between A.M. and P.M.
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O.07. Compare clocks to determine which shows an earlier or later time.
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O.08. Calculate elapsed time in simple scenarios.
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O.09. Calculate elapsed time in more complex scenarios.
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O.10. Identify and extend time patterns.
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O.11. Relate different units of time (e.g., minutes, hours, days).
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O.12. Recognize and understand the four seasons.
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O.13. Know the days of the week in order.
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O.14. Know the months of the year in order.
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O.15. Recall the number of days in each month.
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O.16. Read and interpret a calendar.
P. Data Interpretation and Graphs
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P.01. Identify the correct tally chart representing given data.
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P.02. Interpret data presented in tally charts.
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P.03. Identify the correct table representing given data.
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P.04. Interpret data presented in tables.
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P.05. Interpret data presented in bar graphs.
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P.06. Identify the correct bar graph representing given data.
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P.07. Create bar graphs to represent given data.
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P.08. Interpret data presented in picture graphs I.
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P.09. Interpret data presented in picture graphs II.
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P.10. Create picture graphs to represent given data I.
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P.11. Create picture graphs to represent given data II.
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P.12. Sort shapes into a Venn diagram.
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P.13. Count the number of shapes in each section of a Venn diagram.
Q. Measurement Principles
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Q.02. Differentiate between tall and short objects.
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Q.03. Differentiate between light and heavy objects.
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Q.04. Determine which container holds more or less.
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Q.05. Compare objects based on size, weight, and capacity.
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Q.06. Read a thermometer to determine temperature.
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Q.07. Measure objects using non-standard units.
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Q.08. Measure objects using a centimetre ruler.
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Q.09. Select the appropriate metric unit of length for measuring an object.
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Q.10. Solve word problems involving metric units of length.
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Q.11. Select the appropriate metric unit of mass for measuring an object.
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Q.12. Select the appropriate metric unit of volume for measuring an object.
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Q.13. Compare and convert metric units of volume.
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Q.14. Compare and convert metric units of mass.
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Q.15. Choose the appropriate measuring tool for a given task.
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Q.01. Differentiate between long and short objects.
R. Two-Dimensional Shapes Exploration
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R.01. Name common two-dimensional shapes.
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R.02. Select specific two-dimensional shapes from a group.
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R.03. Count the number of sides and vertices of a shape.
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R.04. Compare the number of sides and vertices of different shapes.
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R.05. Identify shapes with equal sides.
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R.06. Identify shapes with parallel sides.
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R.07. Identify shapes with curved parts.
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R.08. Recognize and identify rhombuses.
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R.09. Identify the location of a shape on a grid.
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R.10. Understand and apply the concepts of flip, turn, and slide (transformations).
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R.11. Understand and apply fractions of a turn (e.g., half turn, quarter turn).
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R.12. Identify congruent shapes.
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R.13. Identify lines of symmetry in shapes.
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R.14. Compose new two-dimensional shapes by combining other shapes.
S. Three-Dimensional Shapes Discovery
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S.01. Name common three-dimensional shapes.
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S.02. Select specific three-dimensional shapes from a group.
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S.03. Count the number of vertices, edges, and faces of a 3D shape.
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S.04. Compare the number of vertices, edges, and faces of different 3D shapes.
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S.05. Identify the two-dimensional shape traced from a solid.
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S.06. Identify the faces of three-dimensional shapes.
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S.07. Recognize three-dimensional shapes in real-world objects I.
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S.08. Recognize three-dimensional shapes in real-world objects II.
T. Area Concepts
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T.01. Tile a rectangle with squares to measure its area.
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T.02. Define and calculate area by counting square units.
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T.03. Select figures with a given area.
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T.04. Create figures with a given area using square units.
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T.05. Create rectangles with a given area.
U. Understanding Fractions
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U.01. Recognize and identify equal parts of a whole.
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U.02. Understand and represent halves.
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U.03. Understand and represent thirds.
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U.04. Understand and represent quarters.
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U.05. Understand and represent eighths.
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U.06. Understand and represent halves, thirds, and quarters.
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U.07. Understand and represent halves, quarters, and eighths.
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U.08. Divide a shape to make halves.
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U.09. Divide a shape to make quarters.
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U.10. Divide a shape to make eighths.
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U.11. Divide a shape to make halves, quarters, and eighths.
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U.12. Make halves and quarters in different ways within a shape.
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U.13. Identify the fraction represented by a shaded part of a shape.
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U.14. Choose the shape that correctly illustrates a given fraction.
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U.15. Determine fractions of a group of objects.
V. Basic Probability Concepts
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V.01. Describe events as more likely, less likely, or equally likely.
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V.02. Describe events as certain, probable, unlikely, or impossible.
W. Foundations of Multiplication
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W.01. Count objects arranged in equal groups.
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W.02. Identify multiplication sentences that represent equal groups.
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W.03. Write multiplication sentences to represent equal groups.
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W.04. Relate addition and multiplication when dealing with equal groups.
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W.05. Understand the general relationship between addition and multiplication.
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W.06. Identify multiplication expressions that represent arrays.
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W.07. Write multiplication sentences to represent arrays.
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W.08. Understand the components of multiplication sentences (factors and product).
X. Multiplication Facts
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X.01. Recall and apply multiplication facts for 2.
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X.02. Recall and apply multiplication facts up to 5.
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X.03. Recall and apply multiplication facts for 2, 3, 5, and 10.
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X.04. Recall and apply multiplication facts for 6, 7, 8, and 9.
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X.05. Recall and apply multiplication facts up to 10.
Y. Foundations of Division
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Y.01. Divide objects by counting equal groups.
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Y.02. Write division sentences to represent the process of dividing into groups.
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Y.03. Relate multiplication and division when dealing with groups.
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Y.04. Write division sentences to represent arrays.
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Y.05. Relate multiplication and division when dealing with arrays.
Z. Division Facts
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Z.01. Recall and apply division facts for 2.
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Z.02. Determine divisors and quotients up to 5.
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Z.03. Determine divisors and quotients up to 10.
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Z.04. Complete division tables.