IXL Skill Plan | Alabama Course of Study: Grade 1

Alabama Course of Study: Grade 1

Skills available for Alabama Grade 1 math standards

Content area

Operations and Algebraic Thinking
Operations with Numbers: Base Ten
Data Analysis
Measurement
Geometry

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OA	Operations and Algebraic Thinking
Represent and solve problems involving addition and subtraction.
1 Use addition and subtraction to solve word problems within 20 by using concrete objects, drawings, and equations with a symbol for the unknown number to represent the problem.		Addition word problems up to 10 1. Addition word problems with pictures - sums up to 10 2. Write addition sentences for word problems with pictures - sums up to 10 3. Build cube trains to solve addition word problems - sums up to 10 4. Addition word problems - sums up to 10 5. Model and write addition sentences for word problems - sums up to 10 6. Addition sentences for word problems - sums up to 10 Subtraction word problems up to 10 7. Subtraction word problems with pictures - up to 10 8. Write subtraction sentences for word problems with pictures - up to 10 9. Use cube trains to solve subtraction word problems - up to 10 10. Subtraction word problems - up to 10 11. Model and write subtraction sentences for word problems - up to 10 12. Subtraction sentences for word problems - up to 10 Mixed operation word problems up to 10 13. Addition and subtraction word problems with pictures - up to 10 14. Use cube trains to solve addition and subtraction word problems - up to 10 15. Word problems with unknown sums and differences - up to 10 16. Addition and subtraction sentences for word problems - up to 10 17. Word problems involving addition and subtraction - up to 10 18. Match word problems to addition and subtraction sentences - up to 10 Addition word problems up to 20 19. Addition word problems with models - sums up to 20 20. Addition word problems - sums up to 20 21. Addition sentences for word problems - sums up to 20 Subtraction word problems up to 20 22. Subtraction word problems with models - up to 20 23. Subtraction word problems - up to 20 24. Subtraction sentences for word problems - up to 20 Mixed operation word problems up to 20 25. Word problems with sum or difference unknown - up to 20 26. Addition and subtraction sentences for word problems - up to 20 27. Use models to solve word problems involving addition and subtraction - up to 20 28. Word problems involving addition and subtraction without comparisons - up to 20 29. Word problems involving addition and subtraction - up to 20 30. Write number sentences for word problems - up to 20 31. Match word problems to addition and subtraction sentences - up to 20
1 Use addition and subtraction to solve word problems within 20 by using concrete objects, drawings, and equations with a symbol for the unknown number to represent the problem.
Addition word problems up to 10 1. Addition word problems with pictures - sums up to 10 2. Write addition sentences for word problems with pictures - sums up to 10 3. Build cube trains to solve addition word problems - sums up to 10 4. Addition word problems - sums up to 10 5. Model and write addition sentences for word problems - sums up to 10 6. Addition sentences for word problems - sums up to 10 Subtraction word problems up to 10 7. Subtraction word problems with pictures - up to 10 8. Write subtraction sentences for word problems with pictures - up to 10 9. Use cube trains to solve subtraction word problems - up to 10 10. Subtraction word problems - up to 10 11. Model and write subtraction sentences for word problems - up to 10 12. Subtraction sentences for word problems - up to 10 Mixed operation word problems up to 10 13. Addition and subtraction word problems with pictures - up to 10 14. Use cube trains to solve addition and subtraction word problems - up to 10 15. Word problems with unknown sums and differences - up to 10 16. Addition and subtraction sentences for word problems - up to 10 17. Word problems involving addition and subtraction - up to 10 18. Match word problems to addition and subtraction sentences - up to 10 Addition word problems up to 20 19. Addition word problems with models - sums up to 20 20. Addition word problems - sums up to 20 21. Addition sentences for word problems - sums up to 20 Subtraction word problems up to 20 22. Subtraction word problems with models - up to 20 23. Subtraction word problems - up to 20 24. Subtraction sentences for word problems - up to 20 Mixed operation word problems up to 20 25. Word problems with sum or difference unknown - up to 20 26. Addition and subtraction sentences for word problems - up to 20 27. Use models to solve word problems involving addition and subtraction - up to 20 28. Word problems involving addition and subtraction without comparisons - up to 20 29. Word problems involving addition and subtraction - up to 20 30. Write number sentences for word problems - up to 20 31. Match word problems to addition and subtraction sentences - up to 20
1.a: Add to with change unknown to solve word problems within 20.		1. "Add to" word problems with change unknown - up to 10 2. "Add to" word problems with change unknown - up to 20
1.a: Add to with change unknown to solve word problems within 20.
1. "Add to" word problems with change unknown - up to 10 2. "Add to" word problems with change unknown - up to 20
1.b: Take from with change unknown to solve word problems within 20.		1. "Take from" word problems with change unknown - up to 10 2. "Take from" word problems with change unknown - up to 20
1.b: Take from with change unknown to solve word problems within 20.
1. "Take from" word problems with change unknown - up to 10 2. "Take from" word problems with change unknown - up to 20
1.c: Put together/take apart with addend unknown to solve word problems within 20.		Word problems up to 10 1. Word problems with change unknown - up to 10 2. Word problems with start unknown - up to 10 3. Word problems with one addend unknown - up to 10 4. Word problems with both addends unknown - up to 10 Word problems up to 20 5. Word problems with change unknown - up to 20 6. Word problems with start unknown - up to 20 7. Word problems with one addend unknown - up to 20 8. Word problems with both addends unknown - up to 20
1.c: Put together/take apart with addend unknown to solve word problems within 20.
Word problems up to 10 1. Word problems with change unknown - up to 10 2. Word problems with start unknown - up to 10 3. Word problems with one addend unknown - up to 10 4. Word problems with both addends unknown - up to 10 Word problems up to 20 5. Word problems with change unknown - up to 20 6. Word problems with start unknown - up to 20 7. Word problems with one addend unknown - up to 20 8. Word problems with both addends unknown - up to 20
1.d: Compare quantities, with difference unknown, bigger unknown, and smaller unknown while solving word problems within 20.		Comparison word problems up to 10 1. Comparison word problems up to 10: how many more? 2. Subtraction sentences for comparison word problems up to 10: how many more? 3. Comparison word problems up to 10: how many fewer? 4. Subtraction sentences for comparison word problems up to 10: how many fewer? 5. Comparison word problems up to 10: how many more or fewer? 6. Subtraction sentences for comparison word problems up to 10: how many more or fewer? 7. Comparison word problems up to 10: what is the larger amount? 8. Comparison word problems up to 10: what is the smaller amount? 9. Comparison word problems up to 10 Comparison word problems up to 20 10. Comparison word problems up to 20: how many more or fewer? 11. Comparison word problems up to 20: what is the larger amount? 12. Comparison word problems up to 20: what is the smaller amount? 13. Comparison word problems up to 20: part 1 14. Comparison word problems up to 20: part 2
1.d: Compare quantities, with difference unknown, bigger unknown, and smaller unknown while solving word problems within 20.
Comparison word problems up to 10 1. Comparison word problems up to 10: how many more? 2. Subtraction sentences for comparison word problems up to 10: how many more? 3. Comparison word problems up to 10: how many fewer? 4. Subtraction sentences for comparison word problems up to 10: how many fewer? 5. Comparison word problems up to 10: how many more or fewer? 6. Subtraction sentences for comparison word problems up to 10: how many more or fewer? 7. Comparison word problems up to 10: what is the larger amount? 8. Comparison word problems up to 10: what is the smaller amount? 9. Comparison word problems up to 10 Comparison word problems up to 20 10. Comparison word problems up to 20: how many more or fewer? 11. Comparison word problems up to 20: what is the larger amount? 12. Comparison word problems up to 20: what is the smaller amount? 13. Comparison word problems up to 20: part 1 14. Comparison word problems up to 20: part 2

2 Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20 by using concrete objects, drawings, or equations with a symbol for the unknown number to represent the problem.		1. Add three numbers - word problems
2 Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20 by using concrete objects, drawings, or equations with a symbol for the unknown number to represent the problem.
1. Add three numbers - word problems
Understand and apply properties of operations and the relationship between addition and subtraction.
3 Apply properties of operations as strategies to add and subtract.		Addition 1. Add in any order 2. Related addition facts 3. Use ten frames to add 4. Make ten to add 5. Add three numbers - make ten Subtraction 6. Related subtraction facts Addition and subtraction 7. Use addition to subtract - up to 10 8. Fact families - up to 10 9. Add and subtract with 0 10. Use addition to subtract - up to 20 11. Fact families - up to 20
3 Apply properties of operations as strategies to add and subtract.
Addition 1. Add in any order 2. Related addition facts 3. Use ten frames to add 4. Make ten to add 5. Add three numbers - make ten Subtraction 6. Related subtraction facts Addition and subtraction 7. Use addition to subtract - up to 10 8. Fact families - up to 10 9. Add and subtract with 0 10. Use addition to subtract - up to 20 11. Fact families - up to 20

4 Explain subtraction as an unknown-addend problem.		Understand subtraction up to 10 1. Complete the addition sentence to make ten - with models 2. Complete the addition sentence to make ten 3. Relate addition and subtraction sentences - up to 10 4. Use addition to subtract - up to 10 5. Complete the addition sentence - sums up to 10 Understand subtraction up to 20 6. Relate addition and subtraction sentences - up to 20 7. Use addition to subtract - up to 20 8. Complete the addition sentence - sums up to 20
4 Explain subtraction as an unknown-addend problem.
Understand subtraction up to 10 1. Complete the addition sentence to make ten - with models 2. Complete the addition sentence to make ten 3. Relate addition and subtraction sentences - up to 10 4. Use addition to subtract - up to 10 5. Complete the addition sentence - sums up to 10 Understand subtraction up to 20 6. Relate addition and subtraction sentences - up to 20 7. Use addition to subtract - up to 20 8. Complete the addition sentence - sums up to 20
Add and subtract within 20.
5 Relate counting to addition and subtraction.		Addition 1. Addition sentences using number lines - sums up to 10 2. Add by counting on - sums up to 10 3. Addition sentences using number lines - sums up to 20 4. Add by counting on - sums up to 20 Subtraction 5. Subtraction sentences using number lines - up to 10 6. Subtract by counting back - up to 10 7. Subtract by counting on - up to 10 8. Subtraction sentences using number lines - up to 20 9. Subtract by counting back - up to 20 10. Subtract by counting on - up to 20
5 Relate counting to addition and subtraction.
Addition 1. Addition sentences using number lines - sums up to 10 2. Add by counting on - sums up to 10 3. Addition sentences using number lines - sums up to 20 4. Add by counting on - sums up to 20 Subtraction 5. Subtraction sentences using number lines - up to 10 6. Subtract by counting back - up to 10 7. Subtract by counting on - up to 10 8. Subtraction sentences using number lines - up to 20 9. Subtract by counting back - up to 20 10. Subtract by counting on - up to 20

6 Add and subtract within 20.		Addition skill builders 1. Adding 1 2. Adding 2 3. Adding 3 4. Adding 4 5. Adding 5 6. Adding 6 7. Adding 7 8. Adding 8 9. Adding 9 10. Adding 10 11. Adding 0 Addition strategies 12. Add in any order 13. Related addition facts 14. Add by counting on - sums up to 20 15. Add doubles - with models 16. Add doubles 17. Add doubles - complete the sentence 18. Add using doubles plus one 19. Add using doubles minus one 20. Add near doubles Addition up to 10 21. Addition facts - sums up to 10 22. Take apart numbers in different ways - sums up to 10 Addition up to 20 23. Addition facts - sums up to 20 24. Sort addition facts - sums up to 20 25. Make a number using addition - sums up to 20 Subtraction skill builders 26. Subtracting 1 27. Subtracting 2 28. Subtracting 3 29. Subtracting 4 30. Subtracting 5 31. Subtracting 6 32. Subtracting 7 33. Subtracting 8 34. Subtracting 9 35. Subtracting 10 36. Subtracting 0 Subtraction strategies 37. Subtract zero and all 38. Related subtraction facts 39. Subtract by counting back - up to 20 40. Subtracting to and from 10 41. Use ten frames to subtract 42. Subtract by counting on - up to 20 43. Count on and use ten to subtract - up to 20 44. Subtract doubles Subtraction up to 10 45. Subtraction facts - up to 10 Subtraction up to 20 46. Subtraction facts - up to 20 47. Sort subtraction facts - up to 20 48. Make a number using subtraction - up to 20 Relate addition and subtraction 49. Relate addition and subtraction sentences - up to 20 50. Use addition to subtract - up to 20 51. Complete the addition sentence - sums up to 20 52. Complete the subtraction sentence - up to 20 53. Fact families - up to 20 Mixed operations 54. Add and subtract with 0 55. Addition and subtraction facts - up to 10 56. Sort addition and subtraction facts - up to 10 57. Addition and subtraction facts - up to 20 58. Addition and subtraction - ways to make a number
6 Add and subtract within 20.
Addition skill builders 1. Adding 1 2. Adding 2 3. Adding 3 4. Adding 4 5. Adding 5 6. Adding 6 7. Adding 7 8. Adding 8 9. Adding 9 10. Adding 10 11. Adding 0 Addition strategies 12. Add in any order 13. Related addition facts 14. Add by counting on - sums up to 20 15. Add doubles - with models 16. Add doubles 17. Add doubles - complete the sentence 18. Add using doubles plus one 19. Add using doubles minus one 20. Add near doubles Addition up to 10 21. Addition facts - sums up to 10 22. Take apart numbers in different ways - sums up to 10 Addition up to 20 23. Addition facts - sums up to 20 24. Sort addition facts - sums up to 20 25. Make a number using addition - sums up to 20 Subtraction skill builders 26. Subtracting 1 27. Subtracting 2 28. Subtracting 3 29. Subtracting 4 30. Subtracting 5 31. Subtracting 6 32. Subtracting 7 33. Subtracting 8 34. Subtracting 9 35. Subtracting 10 36. Subtracting 0 Subtraction strategies 37. Subtract zero and all 38. Related subtraction facts 39. Subtract by counting back - up to 20 40. Subtracting to and from 10 41. Use ten frames to subtract 42. Subtract by counting on - up to 20 43. Count on and use ten to subtract - up to 20 44. Subtract doubles Subtraction up to 10 45. Subtraction facts - up to 10 Subtraction up to 20 46. Subtraction facts - up to 20 47. Sort subtraction facts - up to 20 48. Make a number using subtraction - up to 20 Relate addition and subtraction 49. Relate addition and subtraction sentences - up to 20 50. Use addition to subtract - up to 20 51. Complete the addition sentence - sums up to 20 52. Complete the subtraction sentence - up to 20 53. Fact families - up to 20 Mixed operations 54. Add and subtract with 0 55. Addition and subtraction facts - up to 10 56. Sort addition and subtraction facts - up to 10 57. Addition and subtraction facts - up to 20 58. Addition and subtraction - ways to make a number
6.a: Demonstrate fluency with addition and subtraction facts with sums or differences to 10 by counting on.		1. Add by counting on - sums up to 10 2. Subtract by counting on - up to 10
6.a: Demonstrate fluency with addition and subtraction facts with sums or differences to 10 by counting on.
1. Add by counting on - sums up to 10 2. Subtract by counting on - up to 10
6.b: Demonstrate fluency with addition and subtraction facts with sums or differences to 10 by making ten.		1. Complete the addition sentence to make ten - with models 2. Complete the addition sentence to make ten 3. Use ten frames to add 4. Make ten to add 5. Add three numbers - make ten
6.b: Demonstrate fluency with addition and subtraction facts with sums or differences to 10 by making ten.
1. Complete the addition sentence to make ten - with models 2. Complete the addition sentence to make ten 3. Use ten frames to add 4. Make ten to add 5. Add three numbers - make ten
6.c: Demonstrate fluency with addition and subtraction facts with sums or differences to 10 by decomposing a number leading to a ten.		1. Use ten frames to subtract 2. Use ten to subtract
6.c: Demonstrate fluency with addition and subtraction facts with sums or differences to 10 by decomposing a number leading to a ten.
1. Use ten frames to subtract 2. Use ten to subtract
6.d: Demonstrate fluency with addition and subtraction facts with sums or differences to 10 by using the relationship between addition and subtraction.		1. Relate addition and subtraction sentences - up to 10 2. Use addition to subtract - up to 10 3. Fact families - up to 10 4. Complete the addition sentence - sums up to 10 5. Complete the subtraction sentence - up to 10
6.d: Demonstrate fluency with addition and subtraction facts with sums or differences to 10 by using the relationship between addition and subtraction.
1. Relate addition and subtraction sentences - up to 10 2. Use addition to subtract - up to 10 3. Fact families - up to 10 4. Complete the addition sentence - sums up to 10 5. Complete the subtraction sentence - up to 10
6.e: Demonstrate fluency with addition and subtraction facts with sums or differences to 10 by creating equivalent but easier or known sums.		Addition 1. Make a number using addition - sums up to 10 2. Ways to make a number - addition sentences up to 10 3. Add doubles with models - sums up to 10 4. Add doubles - sums up to 10 5. Add using doubles plus one - sums up to 10 6. Add using doubles minus one - up to 10 Subtraction 7. Make a number using subtraction - up to 10 8. Ways to make a number - subtraction sentences up to 10 9. Ways to subtract from a number - subtraction sentences up to 10 10. Subtract doubles - up to 10
6.e: Demonstrate fluency with addition and subtraction facts with sums or differences to 10 by creating equivalent but easier or known sums.
Addition 1. Make a number using addition - sums up to 10 2. Ways to make a number - addition sentences up to 10 3. Add doubles with models - sums up to 10 4. Add doubles - sums up to 10 5. Add using doubles plus one - sums up to 10 6. Add using doubles minus one - up to 10 Subtraction 7. Make a number using subtraction - up to 10 8. Ways to make a number - subtraction sentences up to 10 9. Ways to subtract from a number - subtraction sentences up to 10 10. Subtract doubles - up to 10
Work with addition and subtraction equations.
7 Explain that the equal sign means "the same as." Determine whether equations involving addition and subtraction are true or false.		Addition 1. Addition sentences: true or false? 2. Addition sentences: which is true? Subtraction 3. Subtraction sentences: true or false? 4. Subtraction sentences: which is true? Mixed operations 5. Addition and subtraction sentences to 10: which is true? 6. Which sign makes the number sentence true? - up to 10 7. Addition and subtraction sentences to 20: which is true? 8. Which sign makes the number sentence true? 9. Complete addition and subtraction equations - up to 20
7 Explain that the equal sign means "the same as." Determine whether equations involving addition and subtraction are true or false.
Addition 1. Addition sentences: true or false? 2. Addition sentences: which is true? Subtraction 3. Subtraction sentences: true or false? 4. Subtraction sentences: which is true? Mixed operations 5. Addition and subtraction sentences to 10: which is true? 6. Which sign makes the number sentence true? - up to 10 7. Addition and subtraction sentences to 20: which is true? 8. Which sign makes the number sentence true? 9. Complete addition and subtraction equations - up to 20

8 Solve for the unknown whole number in various positions in an addition or subtraction equation, relating three whole numbers that would make it true.		Addition equations 1. Complete the addition sentence to make ten - with models 2. Complete the addition sentence to make ten 3. Add doubles - complete the sentence 4. Complete the addition sentence - sums up to 10 5. Complete the addition sentence - sums up to 20 Subtraction equations 6. Complete the subtraction sentence - up to 10 7. Complete the subtraction sentence - up to 20 Addition and subtraction equations 8. Complete the addition or subtraction sentence - up to 20
8 Solve for the unknown whole number in various positions in an addition or subtraction equation, relating three whole numbers that would make it true.
Addition equations 1. Complete the addition sentence to make ten - with models 2. Complete the addition sentence to make ten 3. Add doubles - complete the sentence 4. Complete the addition sentence - sums up to 10 5. Complete the addition sentence - sums up to 20 Subtraction equations 6. Complete the subtraction sentence - up to 10 7. Complete the subtraction sentence - up to 20 Addition and subtraction equations 8. Complete the addition or subtraction sentence - up to 20
Understand simple patterns.
9 Reproduce, extend, and create patterns and sequences of numbers using a variety of materials.		Repeating patterns 1. Complete a pattern 2. Make a pattern 3. Introduction to patterns 4. Find the next shape in a pattern Growing patterns 5. Growing patterns 6. Find the next shape in a growing pattern 7. Find the next row in a growing pattern Sequences 8. Sequences - count up and down by 1
9 Reproduce, extend, and create patterns and sequences of numbers using a variety of materials.
Repeating patterns 1. Complete a pattern 2. Make a pattern 3. Introduction to patterns 4. Find the next shape in a pattern Growing patterns 5. Growing patterns 6. Find the next shape in a growing pattern 7. Find the next row in a growing pattern Sequences 8. Sequences - count up and down by 1

ON	Operations with Numbers: Base Ten
Extend the counting sequence.
10 Extend the number sequence from 0 to 120.
10 Extend the number sequence from 0 to 120.

10.a: Count forward and backward by ones, starting at any number less than 120.		Count forward and backward 1. Count forward - up to 100 2. Count backward - up to 100 3. Count up to find the next number - up to 120 4. Count down to find the next number - up to 120 5. Sequences - count up and down by 1 Number lines 6. Number lines - up to 100 7. Number lines - up to 120 Number charts 8. Count on the hundred chart 9. Count on a number chart - up to 120
10.a: Count forward and backward by ones, starting at any number less than 120.
Count forward and backward 1. Count forward - up to 100 2. Count backward - up to 100 3. Count up to find the next number - up to 120 4. Count down to find the next number - up to 120 5. Sequences - count up and down by 1 Number lines 6. Number lines - up to 100 7. Number lines - up to 120 Number charts 8. Count on the hundred chart 9. Count on a number chart - up to 120
10.b: Read numerals from 0 to 120.		1. Writing numbers in words - convert digits to words
10.b: Read numerals from 0 to 120.
1. Writing numbers in words - convert digits to words
10.c: Write numerals from 0 to 120.		1. Write the number you hear - up to 120 2. Writing numbers in words - convert words to digits
10.c: Write numerals from 0 to 120.
1. Write the number you hear - up to 120 2. Writing numbers in words - convert words to digits
10.d: Represent a number of objects from 0 to 120 with a written numeral.		1. Counting review - up to 10 2. Counting review - up to 20 3. Count on ten frames - up to 40 4. Count objects to 100 5. Count objects to 120 6. Count objects by tens and ones - up to 120
10.d: Represent a number of objects from 0 to 120 with a written numeral.
1. Counting review - up to 10 2. Counting review - up to 20 3. Count on ten frames - up to 40 4. Count objects to 100 5. Count objects to 120 6. Count objects by tens and ones - up to 120
Understand place value.
11 Explain that the two digits of a two-digit number represent amounts of tens and ones.		1. Hundred chart 2. Build two-digit numbers 3. Build and break apart two-digit numbers - with models 4. Place value models for two-digit numbers 5. Build and break apart two-digit numbers - without models 6. Ways to make a number - tens and ones
11 Explain that the two digits of a two-digit number represent amounts of tens and ones.
1. Hundred chart 2. Build two-digit numbers 3. Build and break apart two-digit numbers - with models 4. Place value models for two-digit numbers 5. Build and break apart two-digit numbers - without models 6. Ways to make a number - tens and ones
11.a: Identify a bundle of ten ones as a "ten."
11.a: Identify a bundle of ten ones as a "ten."

11.b: Identify the numbers from 11 to 19 as composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones.		1. Make teen numbers: addition sentences 2. Take apart teen numbers: addition sentences 3. Make and take apart teen numbers: addition sentences 4. Build and break apart teen numbers 5. Place value models up to 20
11.b: Identify the numbers from 11 to 19 as composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones.
1. Make teen numbers: addition sentences 2. Take apart teen numbers: addition sentences 3. Make and take apart teen numbers: addition sentences 4. Build and break apart teen numbers 5. Place value models up to 20
11.c: Identify the numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 as one, two, three, four, five, six, seven, eight, or nine tens (and 0 ones).		1. Build and break apart multiples of ten
11.c: Identify the numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 as one, two, three, four, five, six, seven, eight, or nine tens (and 0 ones).
1. Build and break apart multiples of ten

12 Compare pairs of two-digit numbers based on the values of the tens and ones digits, recording the results of comparisons with the symbols >, =, and < and orally with the words "is greater than," "is equal to," and "is less than."		1. Use place value to compare numbers up to 100 2. Compare numbers up to 100 using words 3. Compare numbers up to 100 using symbols - with models 4. Compare numbers up to 100 using symbols 5. Compare numbers up to 100: word problems
12 Compare pairs of two-digit numbers based on the values of the tens and ones digits, recording the results of comparisons with the symbols >, =, and < and orally with the words "is greater than," "is equal to," and "is less than."
1. Use place value to compare numbers up to 100 2. Compare numbers up to 100 using words 3. Compare numbers up to 100 using symbols - with models 4. Compare numbers up to 100 using symbols 5. Compare numbers up to 100: word problems
Use place value understanding and properties of operations to add and subtract.
13 Add within 100, using concrete models or drawings and strategies based on place value.
13 Add within 100, using concrete models or drawings and strategies based on place value.

13.a: Add a two-digit number and a one-digit number.		Use a hundred chart to add 1. Use a hundred chart to add ones - with regrouping 2. Use a hundred chart to add ones - without regrouping Add a multiple of ten and a one-digit number 3. Use models to add a multiple of ten and a one-digit number 4. Add a multiple of ten and a one-digit number Add a two-digit and a one-digit number 5. Use models to add a two-digit and a one-digit number - without regrouping 6. Add a two-digit and a one-digit number - without regrouping 7. Add by counting on - sums to 100 8. Use models to add a two-digit and a one-digit number - with regrouping 9. Add a two-digit and a one-digit number - with regrouping
13.a: Add a two-digit number and a one-digit number.
Use a hundred chart to add 1. Use a hundred chart to add ones - with regrouping 2. Use a hundred chart to add ones - without regrouping Add a multiple of ten and a one-digit number 3. Use models to add a multiple of ten and a one-digit number 4. Add a multiple of ten and a one-digit number Add a two-digit and a one-digit number 5. Use models to add a two-digit and a one-digit number - without regrouping 6. Add a two-digit and a one-digit number - without regrouping 7. Add by counting on - sums to 100 8. Use models to add a two-digit and a one-digit number - with regrouping 9. Add a two-digit and a one-digit number - with regrouping
13.b: Add a two-digit number and a multiple of 10.		1. Add multiples of ten 2. Use models to add a multiple of ten and a two-digit number 3. Add a multiple of ten and a two-digit number
13.b: Add a two-digit number and a multiple of 10.
1. Add multiples of ten 2. Use models to add a multiple of ten and a two-digit number 3. Add a multiple of ten and a two-digit number
13.c: Demonstrate that in adding two-digit numbers, tens are added to tens, ones are added to ones, and sometimes it is necessary to compose a ten.		Regroup tens and ones 1. Ways to make a number - tens and ones 2. Regroup tens and ones - ways to make a number 3. Regroup tens and ones Add two-digit numbers 4. Use models to add two-digit numbers - without regrouping 5. Use place value to add two-digit numbers - without regrouping 6. Add two-digit numbers without regrouping - sums to 100 7. Use models to add two-digit numbers - with regrouping 8. Use place value to add two-digit numbers - with regrouping 9. Add two-digit numbers with regrouping - sums to 100
13.c: Demonstrate that in adding two-digit numbers, tens are added to tens, ones are added to ones, and sometimes it is necessary to compose a ten.
Regroup tens and ones 1. Ways to make a number - tens and ones 2. Regroup tens and ones - ways to make a number 3. Regroup tens and ones Add two-digit numbers 4. Use models to add two-digit numbers - without regrouping 5. Use place value to add two-digit numbers - without regrouping 6. Add two-digit numbers without regrouping - sums to 100 7. Use models to add two-digit numbers - with regrouping 8. Use place value to add two-digit numbers - with regrouping 9. Add two-digit numbers with regrouping - sums to 100
13.d: Relate the strategy for adding a two-digit number and a one-digit number to a written method and explain the reasoning used.		1. Add a one-digit number to a two-digit number
13.d: Relate the strategy for adding a two-digit number and a one-digit number to a written method and explain the reasoning used.
1. Add a one-digit number to a two-digit number

14 Given a two-digit number, mentally find 10 more or 10 less than the number without having to count, and explain the reasoning used.		1. Ten more or less 2. Add and subtract ten
14 Given a two-digit number, mentally find 10 more or 10 less than the number without having to count, and explain the reasoning used.
1. Ten more or less 2. Add and subtract ten

15 Subtract multiples of 10 from multiples of 10 in the range 10-90 (positive or zero differences), using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. Relate the strategy to a written method and explain the reasoning used.		1. Subtract multiples of ten
15 Subtract multiples of 10 from multiples of 10 in the range 10-90 (positive or zero differences), using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. Relate the strategy to a written method and explain the reasoning used.
1. Subtract multiples of ten

DA	Data Analysis
Collect and analyze data and interpret results.
16 Organize, represent, and interpret data with up to three categories.
16 Organize, represent, and interpret data with up to three categories.

16.a: Ask and answer questions about the total number of data points in organized data.		1. Interpret picture graphs, tally charts, and tables - how many in all?
16.a: Ask and answer questions about the total number of data points in organized data.
1. Interpret picture graphs, tally charts, and tables - how many in all?
16.b: Summarize data on Venn diagrams, pictographs, and "yes-no" charts using real objects, symbolic representations, or pictorial representations.		1. Which picture graph is correct? 2. Make picture graphs with pictures 3. Make picture graphs with symbols 4. Which tally chart is correct? 5. Record data in tables 6. Show data in different ways 7. Sort shapes into a Venn diagram
16.b: Summarize data on Venn diagrams, pictographs, and "yes-no" charts using real objects, symbolic representations, or pictorial representations.
1. Which picture graph is correct? 2. Make picture graphs with pictures 3. Make picture graphs with symbols 4. Which tally chart is correct? 5. Record data in tables 6. Show data in different ways 7. Sort shapes into a Venn diagram
16.c: Determine "how many" in each category using up to three categories of data.		1. Count shapes in a Venn diagram 2. Interpret picture graphs, tally charts, and tables - how many in one?
16.c: Determine "how many" in each category using up to three categories of data.
1. Count shapes in a Venn diagram 2. Interpret picture graphs, tally charts, and tables - how many in one?
16.d: Determine "how many more" or "how many less" are in one category than in another using data organized into two or three categories.		1. Interpret picture graphs, tally charts, and tables - how many more or less?
16.d: Determine "how many more" or "how many less" are in one category than in another using data organized into two or three categories.
1. Interpret picture graphs, tally charts, and tables - how many more or less?

M	Measurement
Describe and compare measurable attributes.
17 Order three objects by length; compare the lengths of two objects indirectly by using a third object.		1. Compare objects: length and height 2. Order objects: length and height 3. Indirect comparison
17 Order three objects by length; compare the lengths of two objects indirectly by using a third object.
1. Compare objects: length and height 2. Order objects: length and height 3. Indirect comparison

18 Determine the length of an object using non-standard units with no gaps or overlaps, expressing the length of the object with a whole number.		1. Measure length with objects 2. Build cube trains to measure length
18 Determine the length of an object using non-standard units with no gaps or overlaps, expressing the length of the object with a whole number.
1. Measure length with objects 2. Build cube trains to measure length
Work with time and money.
19 Tell and write time to the hours and half hours using analog and digital clocks.		1. Match digital clocks and times 2. Match analog clocks and times with words: to the hour 3. Match analog clocks and times with words: to the half hour 4. Match analog clocks and times: to the half hour 5. Match analog and digital clocks: to the half hour 6. Read clocks and write times
19 Tell and write time to the hours and half hours using analog and digital clocks.
1. Match digital clocks and times 2. Match analog clocks and times with words: to the hour 3. Match analog clocks and times with words: to the half hour 4. Match analog clocks and times: to the half hour 5. Match analog and digital clocks: to the half hour 6. Read clocks and write times

20 Identify pennies and dimes by name and value.		1. Names and values of pennies and dimes
20 Identify pennies and dimes by name and value.
1. Names and values of pennies and dimes

G	Geometry
Reason with shapes and their attributes.
21 Build and draw shapes which have defining attributes.
21 Build and draw shapes which have defining attributes.

21.a: Distinguish between defining attributes and non-defining attributes.		Two-dimensional shapes 1. Select two-dimensional shapes 2. Name the two-dimensional shape 3. Count sides and corners 4. Compare sides and corners 5. Sort two-dimensional shapes 6. Square corners 7. Equal sides 8. Open and closed shapes 9. Attributes of two-dimensional shapes 10. Compare shapes using attributes 11. Name the two-dimensional shape and explain your answer Two- and three-dimensional shapes 12. Two-dimensional and three-dimensional shapes Three-dimensional shapes 13. Cubes and rectangular prisms 14. Select three-dimensional shapes 15. Name the three-dimensional shape 16. Count vertices, edges, and faces 17. Compare vertices, edges, and faces 18. Identify faces of three-dimensional shapes 19. Identify shapes traced from solids 20. Attributes of three-dimensional shapes 21. Name the three-dimensional shape and explain your answer 22. Sort three-dimensional shapes
21.a: Distinguish between defining attributes and non-defining attributes.
Two-dimensional shapes 1. Select two-dimensional shapes 2. Name the two-dimensional shape 3. Count sides and corners 4. Compare sides and corners 5. Sort two-dimensional shapes 6. Square corners 7. Equal sides 8. Open and closed shapes 9. Attributes of two-dimensional shapes 10. Compare shapes using attributes 11. Name the two-dimensional shape and explain your answer Two- and three-dimensional shapes 12. Two-dimensional and three-dimensional shapes Three-dimensional shapes 13. Cubes and rectangular prisms 14. Select three-dimensional shapes 15. Name the three-dimensional shape 16. Count vertices, edges, and faces 17. Compare vertices, edges, and faces 18. Identify faces of three-dimensional shapes 19. Identify shapes traced from solids 20. Attributes of three-dimensional shapes 21. Name the three-dimensional shape and explain your answer 22. Sort three-dimensional shapes

22 Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape.		1. Compose two-dimensional shapes 2. Compose two-dimensional shapes: which shapes can you make? 3. Compose three-dimensional shapes 4. Compose bigger three-dimensional shapes
22 Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape.
1. Compose two-dimensional shapes 2. Compose two-dimensional shapes: which shapes can you make? 3. Compose three-dimensional shapes 4. Compose bigger three-dimensional shapes

23 Partition circles and rectangles into two and four equal shares and describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of.		Equal parts 1. Equal parts - 2 and 4 equal parts 2. Identify halves 3. Identify fourths 4. Identify halves and fourths Make halves and fourths 5. Make halves 6. Make fourths 7. Make halves and fourths 8. Make halves and fourths in different ways
23 Partition circles and rectangles into two and four equal shares and describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of.
Equal parts 1. Equal parts - 2 and 4 equal parts 2. Identify halves 3. Identify fourths 4. Identify halves and fourths Make halves and fourths 5. Make halves 6. Make fourths 7. Make halves and fourths 8. Make halves and fourths in different ways
23.a: Describe "the whole" as two of or four of the shares of circles and rectangles partitioned into two or four equal shares.
23.a: Describe "the whole" as two of or four of the shares of circles and rectangles partitioned into two or four equal shares.

23.b: Explain that decomposing into more equal shares creates smaller shares of circles and rectangles.		1. Compare halves and fourths
23.b: Explain that decomposing into more equal shares creates smaller shares of circles and rectangles.
1. Compare halves and fourths