IXL Skill Plan | Alabama Course of Study: Grade 2

Alabama Course of Study: Grade 2

Skills available for Alabama Grade 2 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 within 100 to solve one- and two-step word problems by using drawings and equations with a symbol for the unknown number to represent the problem.		One-digit addition 1. Addition word problems - sums to 20 2. Addition sentences for word problems - sums to 20 3. Addition word problems - three one-digit numbers 4. Addition word problems - four or more one-digit numbers One-digit subtraction 5. Subtraction word problems - up to 20 6. Subtraction sentences for word problems - up to 20 Two-digit addition 7. Addition word problems - up to two digits 8. Write the addition sentence - up to two digits 9. Addition word problems - three numbers up to two digits each 10. Addition word problems - four numbers up to two digits each Two-digit subtraction 11. Subtraction word problems - up to two digits 12. Write the subtraction sentence - up to two digits Mixed operations 13. Comparison word problems - up to 20 14. Use models to solve addition and subtraction word problems - up to 20 15. Addition and subtraction word problems - up to 20 16. Write number sentences for word problems - up to 20 17. Match word problems to addition and subtraction sentences - up to 20 18. Two-step addition and subtraction word problems - up to 20 19. Solve word problems using guess-and-check - up to 20 20. Use models to solve addition and subtraction word problems - up to 100 21. Addition and subtraction word problems - up to 100 22. Match addition and subtraction word problems to equations - up to 100 23. Two-step addition and subtraction word problems - up to 100
1 Use addition and subtraction within 100 to solve one- and two-step word problems by using drawings and equations with a symbol for the unknown number to represent the problem.
One-digit addition 1. Addition word problems - sums to 20 2. Addition sentences for word problems - sums to 20 3. Addition word problems - three one-digit numbers 4. Addition word problems - four or more one-digit numbers One-digit subtraction 5. Subtraction word problems - up to 20 6. Subtraction sentences for word problems - up to 20 Two-digit addition 7. Addition word problems - up to two digits 8. Write the addition sentence - up to two digits 9. Addition word problems - three numbers up to two digits each 10. Addition word problems - four numbers up to two digits each Two-digit subtraction 11. Subtraction word problems - up to two digits 12. Write the subtraction sentence - up to two digits Mixed operations 13. Comparison word problems - up to 20 14. Use models to solve addition and subtraction word problems - up to 20 15. Addition and subtraction word problems - up to 20 16. Write number sentences for word problems - up to 20 17. Match word problems to addition and subtraction sentences - up to 20 18. Two-step addition and subtraction word problems - up to 20 19. Solve word problems using guess-and-check - up to 20 20. Use models to solve addition and subtraction word problems - up to 100 21. Addition and subtraction word problems - up to 100 22. Match addition and subtraction word problems to equations - up to 100 23. Two-step addition and subtraction word problems - up to 100
Add and subtract within 20.
2 Fluently add and subtract within 20 using mental strategies such as counting on, making ten, decomposing a number leading to ten, using the relationship between addition and subtraction, and creating equivalent but easier or known sums.		Addition up to 10 1. Add one-digit numbers - sums to 10 2. Ways to make a number using addition - sums to 10 Addition up to 20 3. Add doubles 4. Add doubles - complete the sentence 5. Add near doubles 6. Add by counting on - sums to 20 7. Make ten to add 8. Add zero 9. Sort addition facts - sums to 20 10. Complete the addition sentence - sums to 20 11. Which addition sentence is true? - sums to 20 12. Add three one-digit numbers 13. Add in any order Subtraction up to 10 14. Subtract one-digit numbers - up to 10 15. Ways to make a number using subtraction - up to 10 Subtraction up to 20 16. Subtract doubles 17. Subtract by counting back - up to 20 18. Use ten to subtract 19. Subtract by counting on - up to 20 20. Count on and use ten to subtract - up to 20 21. Subtract zero or all 22. Subtract a one-digit number from a two-digit number up to 20 23. Complete the subtraction sentence - up to 20 24. Which subtraction sentence is true? - up to 20 Mixed operations 25. Addition and subtraction - up to 20 26. Ways to make a number using addition and subtraction - up to 20 27. Which addition or subtraction sentence is true? - up to 20
2 Fluently add and subtract within 20 using mental strategies such as counting on, making ten, decomposing a number leading to ten, using the relationship between addition and subtraction, and creating equivalent but easier or known sums.
Addition up to 10 1. Add one-digit numbers - sums to 10 2. Ways to make a number using addition - sums to 10 Addition up to 20 3. Add doubles 4. Add doubles - complete the sentence 5. Add near doubles 6. Add by counting on - sums to 20 7. Make ten to add 8. Add zero 9. Sort addition facts - sums to 20 10. Complete the addition sentence - sums to 20 11. Which addition sentence is true? - sums to 20 12. Add three one-digit numbers 13. Add in any order Subtraction up to 10 14. Subtract one-digit numbers - up to 10 15. Ways to make a number using subtraction - up to 10 Subtraction up to 20 16. Subtract doubles 17. Subtract by counting back - up to 20 18. Use ten to subtract 19. Subtract by counting on - up to 20 20. Count on and use ten to subtract - up to 20 21. Subtract zero or all 22. Subtract a one-digit number from a two-digit number up to 20 23. Complete the subtraction sentence - up to 20 24. Which subtraction sentence is true? - up to 20 Mixed operations 25. Addition and subtraction - up to 20 26. Ways to make a number using addition and subtraction - up to 20 27. Which addition or subtraction sentence is true? - up to 20
2.a: State automatically all sums of two one-digit numbers.		1. Add one-digit numbers - sums to 10 2. Add one-digit numbers - sums to 20
2.a: State automatically all sums of two one-digit numbers.
1. Add one-digit numbers - sums to 10 2. Add one-digit numbers - sums to 20
Work with equal groups of objects to gain foundations for multiplication.
3 Use concrete objects to determine whether a group of up to 20 objects is even or odd.		1. Even or odd number of shapes - up to 20
3 Use concrete objects to determine whether a group of up to 20 objects is even or odd.
1. Even or odd number of shapes - up to 20
3.a: Write an equation to express an even number as a sum of two equal addends.		1. Addition sentences for even and odd numbers 2. Add doubles - complete the sentence
3.a: Write an equation to express an even number as a sum of two equal addends.
1. Addition sentences for even and odd numbers 2. Add doubles - complete the sentence

4 Using concrete and pictorial representations and repeated addition, determine the total number of objects in a rectangular array with up to 5 rows and up to 5 columns.
4 Using concrete and pictorial representations and repeated addition, determine the total number of objects in a rectangular array with up to 5 rows and up to 5 columns.

4.a: Write an equation to express the total number of objects in a rectangular array with up to 5 rows and up to 5 columns as a sum of equal addends.		Addition up to 10 1. Identify repeated addition for arrays - sums to 10 2. Write addition sentences for arrays - sums to 10 Addition up to 25 3. Identify repeated addition for equal groups - sums to 25 4. Write addition sentences for equal groups - sums to 25 5. Identify repeated addition for arrays - sums to 25 6. Write addition sentences for arrays - sums to 25 7. Solve word problems using repeated addition - sums to 25 8. Write stories involving repeated addition - sums to 25
4.a: Write an equation to express the total number of objects in a rectangular array with up to 5 rows and up to 5 columns as a sum of equal addends.
Addition up to 10 1. Identify repeated addition for arrays - sums to 10 2. Write addition sentences for arrays - sums to 10 Addition up to 25 3. Identify repeated addition for equal groups - sums to 25 4. Write addition sentences for equal groups - sums to 25 5. Identify repeated addition for arrays - sums to 25 6. Write addition sentences for arrays - sums to 25 7. Solve word problems using repeated addition - sums to 25 8. Write stories involving repeated addition - sums to 25
Understand simple patterns.
5 Reproduce, extend, create, and describe patterns and sequences using a variety of materials.		Number sequences 1. Skip-counting stories 2. Skip-counting sequences 3. Skip-counting puzzles Repeating patterns 4. Make a repeating pattern 5. Repeating patterns 6. Find the next shape in a repeating pattern 7. Complete a repeating pattern Growing patterns 8. Growing patterns 9. Find the next shape in a growing pattern 10. Find the next row in a growing pattern Time patterns 11. Time patterns
5 Reproduce, extend, create, and describe patterns and sequences using a variety of materials.
Number sequences 1. Skip-counting stories 2. Skip-counting sequences 3. Skip-counting puzzles Repeating patterns 4. Make a repeating pattern 5. Repeating patterns 6. Find the next shape in a repeating pattern 7. Complete a repeating pattern Growing patterns 8. Growing patterns 9. Find the next shape in a growing pattern 10. Find the next row in a growing pattern Time patterns 11. Time patterns

ON	Operations with Numbers: Base Ten
Understand place value.
6 Explain that the three digits of a three-digit number represent amounts of hundreds, tens, and ones.		1. Place value models - up to hundreds 2. Identify a digit up to the hundreds place 3. Value of a digit - up to hundreds 4. Convert to/from a number - up to hundreds 5. Convert between place values - ones, tens, and hundreds
6 Explain that the three digits of a three-digit number represent amounts of hundreds, tens, and ones.
1. Place value models - up to hundreds 2. Identify a digit up to the hundreds place 3. Value of a digit - up to hundreds 4. Convert to/from a number - up to hundreds 5. Convert between place values - ones, tens, and hundreds
6.a: Explain the following three-digit numbers as special cases: 100 can be thought of as a bundle of ten tens, called a "hundred," and the numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones).		1. Convert between place values - ones and hundreds
6.a: Explain the following three-digit numbers as special cases: 100 can be thought of as a bundle of ten tens, called a "hundred," and the numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones).
1. Convert between place values - ones and hundreds

7 Count within 1000 by ones, fives, tens, and hundreds.		Count forward 1. Count forward - up to 1,000 2. Count forward by tens - up to 1,000 3. Count forward by fives, tens, and hundreds Count forward and backward 4. Count forward and backward by fives and tens 5. Count forward and backward by fives, tens, and hundreds Skip-count sets of objects 6. Skip-count by fives 7. Skip-count by tens 8. Skip-count by fives and tens
7 Count within 1000 by ones, fives, tens, and hundreds.
Count forward 1. Count forward - up to 1,000 2. Count forward by tens - up to 1,000 3. Count forward by fives, tens, and hundreds Count forward and backward 4. Count forward and backward by fives and tens 5. Count forward and backward by fives, tens, and hundreds Skip-count sets of objects 6. Skip-count by fives 7. Skip-count by tens 8. Skip-count by fives and tens

8 Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.		Base-ten numerals 1. Writing numbers up to 100 in words - convert words to digits 2. Writing numbers up to 1,000 in words - convert words to digits Number names 3. Spell word names for numbers up to 20 4. Writing numbers up to 100 in words - convert digits to words 5. Writing numbers up to 1,000 in words - convert digits to words 6. Writing numbers up to 1,000 in words Expanded form 7. Convert from expanded form - up to hundreds 8. Convert between standard and expanded form
8 Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.
Base-ten numerals 1. Writing numbers up to 100 in words - convert words to digits 2. Writing numbers up to 1,000 in words - convert words to digits Number names 3. Spell word names for numbers up to 20 4. Writing numbers up to 100 in words - convert digits to words 5. Writing numbers up to 1,000 in words - convert digits to words 6. Writing numbers up to 1,000 in words Expanded form 7. Convert from expanded form - up to hundreds 8. Convert between standard and expanded form

9 Compare two three-digit numbers based on the value of the hundreds, 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. Comparing numbers up to 1,000
9 Compare two three-digit numbers based on the value of the hundreds, 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. Comparing numbers up to 1,000
Use place value understanding and properties of operations to add and subtract.
10 Fluently add and subtract within 100, using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.		Addition strategies 1. Break apart a one-digit number to add 2. Use models to add a two-digit and a one-digit number - without regrouping 3. Use models to add a two-digit and a one-digit number - with regrouping 4. Break apart a two-digit number to add - sums to 100 5. Use compensation to add on a number line - up to two digits 6. Use compensation to add - up to two digits 7. Use models to add two-digit numbers - without regrouping 8. Use models to add two-digit numbers - with regrouping 9. Use place value to add two-digit numbers - without regrouping 10. Use place value to add two-digit numbers - with regrouping Addition 11. Add a two-digit and a one-digit number - without regrouping 12. Add a two-digit and a one-digit number - with regrouping 13. Add a multiple of 10 to a two-digit number 14. Add two-digit numbers without regrouping - sums to 100 15. Add two-digit numbers with regrouping - sums to 100 16. Add two-digit numbers - sums to 100 17. Add two-digit numbers vertically - sums to 100 18. Ways to make a number using addition Subtraction strategies 19. Break apart a one-digit number to subtract 20. Use models to subtract a one-digit number from a two-digit number - without regrouping 21. Use models to subtract a one-digit number from a two-digit number - with regrouping 22. Break apart a two-digit number to subtract 23. Use compensation to subtract on a number line - up to two digits 24. Use compensation to subtract - up to two digits 25. Use models to subtract two-digit numbers - without regrouping 26. Use models to subtract two-digit numbers - with regrouping 27. Use place value to subtract two-digit numbers - without regrouping 28. Use place value to subtract two-digit numbers - with regrouping Subtraction 29. Subtract a one-digit number from a two-digit number - without regrouping 30. Subtract a one-digit number from a two-digit number - with regrouping 31. Subtract a one-digit number from a two-digit number 32. Subtract a multiple of 10 from a two-digit number 33. Subtract two-digit numbers - without regrouping 34. Subtract two-digit numbers - with regrouping 35. Subtract two-digit numbers 36. Subtract two-digit numbers vertically 37. Ways to make a number using subtraction Relationship between addition and subtraction 38. Complete the addition sentence - up to two digits 39. Complete the subtraction sentence - up to two digits 40. Relate addition and subtraction sentences - up to two digits 41. Complete the addition or subtraction sentence - up to 100 Mixed operations 42. Add and subtract numbers - up to 100 43. Which sign (+ or -) makes the number sentence true? - up to 100 44. Ways to make a number using addition and subtraction - up to 100 45. Which addition or subtraction equation is true? - up to 100
10 Fluently add and subtract within 100, using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
Addition strategies 1. Break apart a one-digit number to add 2. Use models to add a two-digit and a one-digit number - without regrouping 3. Use models to add a two-digit and a one-digit number - with regrouping 4. Break apart a two-digit number to add - sums to 100 5. Use compensation to add on a number line - up to two digits 6. Use compensation to add - up to two digits 7. Use models to add two-digit numbers - without regrouping 8. Use models to add two-digit numbers - with regrouping 9. Use place value to add two-digit numbers - without regrouping 10. Use place value to add two-digit numbers - with regrouping Addition 11. Add a two-digit and a one-digit number - without regrouping 12. Add a two-digit and a one-digit number - with regrouping 13. Add a multiple of 10 to a two-digit number 14. Add two-digit numbers without regrouping - sums to 100 15. Add two-digit numbers with regrouping - sums to 100 16. Add two-digit numbers - sums to 100 17. Add two-digit numbers vertically - sums to 100 18. Ways to make a number using addition Subtraction strategies 19. Break apart a one-digit number to subtract 20. Use models to subtract a one-digit number from a two-digit number - without regrouping 21. Use models to subtract a one-digit number from a two-digit number - with regrouping 22. Break apart a two-digit number to subtract 23. Use compensation to subtract on a number line - up to two digits 24. Use compensation to subtract - up to two digits 25. Use models to subtract two-digit numbers - without regrouping 26. Use models to subtract two-digit numbers - with regrouping 27. Use place value to subtract two-digit numbers - without regrouping 28. Use place value to subtract two-digit numbers - with regrouping Subtraction 29. Subtract a one-digit number from a two-digit number - without regrouping 30. Subtract a one-digit number from a two-digit number - with regrouping 31. Subtract a one-digit number from a two-digit number 32. Subtract a multiple of 10 from a two-digit number 33. Subtract two-digit numbers - without regrouping 34. Subtract two-digit numbers - with regrouping 35. Subtract two-digit numbers 36. Subtract two-digit numbers vertically 37. Ways to make a number using subtraction Relationship between addition and subtraction 38. Complete the addition sentence - up to two digits 39. Complete the subtraction sentence - up to two digits 40. Relate addition and subtraction sentences - up to two digits 41. Complete the addition or subtraction sentence - up to 100 Mixed operations 42. Add and subtract numbers - up to 100 43. Which sign (+ or -) makes the number sentence true? - up to 100 44. Ways to make a number using addition and subtraction - up to 100 45. Which addition or subtraction equation is true? - up to 100

11 Use a variety of strategies to add up to four two-digit numbers.		1. Add three numbers up to two digits each 2. Add four numbers up to two digits each 3. Add three or four numbers vertically - up to two digits each
11 Use a variety of strategies to add up to four two-digit numbers.
1. Add three numbers up to two digits each 2. Add four numbers up to two digits each 3. Add three or four numbers vertically - up to two digits each

12 Add and subtract within 1000 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.
12 Add and subtract within 1000 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.

12.a: Explain that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds.		Regroup hundreds, tens, and ones 1. Regroup tens and ones - ways to make a number 2. Regroup tens and ones 3. Regroup hundreds, tens, and ones - ways to make a number Addition 4. Add two-digit numbers - sums to 200 5. Add two-digit numbers vertically - sums to 200 6. Use number lines to add three-digit numbers 7. Break apart a three-digit number to add 8. Use compensation to add - up to three digits 9. Use models to add three-digit numbers - without regrouping 10. Use models to add three-digit numbers - with regrouping 11. Use expanded form to add three-digit numbers - without regrouping 12. Use expanded form to add three-digit numbers - with regrouping 13. Use expanded form to add three-digit numbers 14. Add a multiple of 100 to a three-digit number 15. Add a multiple of 10 or 100 to a three-digit number 16. Addition with three-digit numbers - without regrouping 17. Addition with three-digit numbers - with regrouping 18. Addition with three-digit numbers Subtraction 19. Use number lines to subtract three-digit numbers 20. Break apart a three-digit number to subtract 21. Use compensation to subtract - up to three digits 22. Use models to subtract from three-digit numbers - without regrouping 23. Use models to subtract from three-digit numbers - with regrouping 24. Use expanded form to subtract three-digit numbers - without regrouping 25. Use expanded form to subtract three-digit numbers - with regrouping 26. Use expanded form to subtract three-digit numbers 27. Subtract a multiple of 100 from a three-digit number 28. Subtract a multiple of 10 or 100 from a three-digit number 29. Subtract across zeros 30. Subtract from three-digit numbers - without regrouping 31. Subtract from three-digit numbers - with regrouping 32. Subtract from three-digit numbers 33. Subtract from three-digit numbers vertically 34. Subtraction word problems - up to three digits Relationship between addition and subtraction 35. Complete the addition sentence - up to three digits 36. Complete the subtraction sentence - up to three digits Mixed operations 37. Break apart a three-digit number to add or subtract 38. Use compensation to add or subtract - up to 1,000 39. Add and subtract numbers up to 1,000 40. Add and subtract with three-digit numbers vertically 41. Addition and subtraction word problems - up to 1,000
12.a: Explain that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds.
Regroup hundreds, tens, and ones 1. Regroup tens and ones - ways to make a number 2. Regroup tens and ones 3. Regroup hundreds, tens, and ones - ways to make a number Addition 4. Add two-digit numbers - sums to 200 5. Add two-digit numbers vertically - sums to 200 6. Use number lines to add three-digit numbers 7. Break apart a three-digit number to add 8. Use compensation to add - up to three digits 9. Use models to add three-digit numbers - without regrouping 10. Use models to add three-digit numbers - with regrouping 11. Use expanded form to add three-digit numbers - without regrouping 12. Use expanded form to add three-digit numbers - with regrouping 13. Use expanded form to add three-digit numbers 14. Add a multiple of 100 to a three-digit number 15. Add a multiple of 10 or 100 to a three-digit number 16. Addition with three-digit numbers - without regrouping 17. Addition with three-digit numbers - with regrouping 18. Addition with three-digit numbers Subtraction 19. Use number lines to subtract three-digit numbers 20. Break apart a three-digit number to subtract 21. Use compensation to subtract - up to three digits 22. Use models to subtract from three-digit numbers - without regrouping 23. Use models to subtract from three-digit numbers - with regrouping 24. Use expanded form to subtract three-digit numbers - without regrouping 25. Use expanded form to subtract three-digit numbers - with regrouping 26. Use expanded form to subtract three-digit numbers 27. Subtract a multiple of 100 from a three-digit number 28. Subtract a multiple of 10 or 100 from a three-digit number 29. Subtract across zeros 30. Subtract from three-digit numbers - without regrouping 31. Subtract from three-digit numbers - with regrouping 32. Subtract from three-digit numbers 33. Subtract from three-digit numbers vertically 34. Subtraction word problems - up to three digits Relationship between addition and subtraction 35. Complete the addition sentence - up to three digits 36. Complete the subtraction sentence - up to three digits Mixed operations 37. Break apart a three-digit number to add or subtract 38. Use compensation to add or subtract - up to 1,000 39. Add and subtract numbers up to 1,000 40. Add and subtract with three-digit numbers vertically 41. Addition and subtraction word problems - up to 1,000

13 Mentally add and subtract 10 or 100 to a given number between 100 and 900.		1. Add 10 or 100 to a three-digit number 2. Subtract 10 or 100 from a three-digit number
13 Mentally add and subtract 10 or 100 to a given number between 100 and 900.
1. Add 10 or 100 to a three-digit number 2. Subtract 10 or 100 from a three-digit number

14 Explain why addition and subtraction strategies work, using place value and the properties of operations.		1. Related addition facts 2. Related subtraction facts 3. Fact families 4. Fact families - up to 100
14 Explain why addition and subtraction strategies work, using place value and the properties of operations.
1. Related addition facts 2. Related subtraction facts 3. Fact families 4. Fact families - up to 100

DA	Data Analysis
Collect and analyze data and interpret results.
15 Measure lengths of several objects to the nearest whole unit.
15 Measure lengths of several objects to the nearest whole unit.

15.a: Create a line plot where the horizontal scale is marked off in whole-number units to show the lengths of several measured objects.		1. Create line plots
15.a: Create a line plot where the horizontal scale is marked off in whole-number units to show the lengths of several measured objects.
1. Create line plots

16 Create a picture graph and bar graph to represent data with up to four categories.		1. Create picture graphs 2. Create bar graphs 3. Which bar graph is correct?
16 Create a picture graph and bar graph to represent data with up to four categories.
1. Create picture graphs 2. Create bar graphs 3. Which bar graph is correct?
16.a: Using information presented in a bar graph, solve simple "put-together," "take-apart," and "compare" problems.		1. Interpret bar graphs II
16.a: Using information presented in a bar graph, solve simple "put-together," "take-apart," and "compare" problems.
1. Interpret bar graphs II
16.b: Using Venn diagrams, pictographs, and "yes-no" charts, analyze data to predict an outcome.		1. Interpret picture graphs 2. Count shapes in a Venn diagram 3. Sort shapes into a Venn diagram
16.b: Using Venn diagrams, pictographs, and "yes-no" charts, analyze data to predict an outcome.
1. Interpret picture graphs 2. Count shapes in a Venn diagram 3. Sort shapes into a Venn diagram

M	Measurement
Measure and estimate lengths in standard units.
17 Measure the length of an object by selecting and using standard units of measurement shown on rulers, yardsticks, meter sticks, or measuring tapes.		1. Measure using an inch ruler 2. Choose the best measuring tool: customary units of length 3. Measure using a centimeter ruler 4. Choose the best measuring tool: metric units of length
17 Measure the length of an object by selecting and using standard units of measurement shown on rulers, yardsticks, meter sticks, or measuring tapes.
1. Measure using an inch ruler 2. Choose the best measuring tool: customary units of length 3. Measure using a centimeter ruler 4. Choose the best measuring tool: metric units of length

18 Measure objects with two different units, and describe how the two measurements relate to each other and the size of the unit chosen.		1. Measure with different customary units: inches, feet, and yards 2. Which customary unit of length is appropriate: inches, feet, or yards? 3. Measure with different metric units 4. Which metric unit of length is appropriate?
18 Measure objects with two different units, and describe how the two measurements relate to each other and the size of the unit chosen.
1. Measure with different customary units: inches, feet, and yards 2. Which customary unit of length is appropriate: inches, feet, or yards? 3. Measure with different metric units 4. Which metric unit of length is appropriate?

19 Estimate lengths using the following standard units of measurement: inches, feet, centimeters, and meters.		1. Measure to compare length in inches 2. Measure to compare length in centimeters
19 Estimate lengths using the following standard units of measurement: inches, feet, centimeters, and meters.
1. Measure to compare length in inches 2. Measure to compare length in centimeters

20 Measure to determine how much longer one object is than another, expressing the length difference of the two objects using standard units of length.		1. Measure to compare length in inches 2. Measure to compare length in centimeters
20 Measure to determine how much longer one object is than another, expressing the length difference of the two objects using standard units of length.
1. Measure to compare length in inches 2. Measure to compare length in centimeters
Relate addition and subtraction to length.
21 Use addition and subtraction within 100 to solve word problems involving same units of length, representing the problem with drawings (such as drawings of rulers) and/or equations with a symbol for the unknown number.		1. Compare lengths: customary units 2. Customary units of length: word problems 3. Compare lengths: metric units 4. Metric units of length: word problems
21 Use addition and subtraction within 100 to solve word problems involving same units of length, representing the problem with drawings (such as drawings of rulers) and/or equations with a symbol for the unknown number.
1. Compare lengths: customary units 2. Customary units of length: word problems 3. Compare lengths: metric units 4. Metric units of length: word problems

22 Create a number line diagram using whole numbers and use it to represent whole-number sums and differences within 100.		1. Number lines - up to 100 2. Number lines - up to 1,000 3. Addition sentences using number lines - sums to 20 4. Subtraction sentences using number lines - up to 20 5. Addition and subtraction sentences using number lines - up to 20 6. Use number lines to add two-digit numbers 7. Use number lines to subtract two-digit numbers
22 Create a number line diagram using whole numbers and use it to represent whole-number sums and differences within 100.
1. Number lines - up to 100 2. Number lines - up to 1,000 3. Addition sentences using number lines - sums to 20 4. Subtraction sentences using number lines - up to 20 5. Addition and subtraction sentences using number lines - up to 20 6. Use number lines to add two-digit numbers 7. Use number lines to subtract two-digit numbers
Work with time and money.
23 Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m.		Match times 1. Match digital clocks and times 2. Match analog clocks and times 3. Match analog and digital clocks Write times 4. Read clocks and write times: hour and half hour 5. Read clocks and write times A.M. and P.M. 6. A.M. or P.M.
23 Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m.
Match times 1. Match digital clocks and times 2. Match analog clocks and times 3. Match analog and digital clocks Write times 4. Read clocks and write times: hour and half hour 5. Read clocks and write times A.M. and P.M. 6. A.M. or P.M.
23.a: Express an understanding of common terms such as, but not limited to, quarter past, half past, and quarter to.		1. Time words: o'clock, half, quarter
23.a: Express an understanding of common terms such as, but not limited to, quarter past, half past, and quarter to.
1. Time words: o'clock, half, quarter

24 Solve problems with money.
24 Solve problems with money.

24.a: Identify nickels and quarters by name and value.		1. Names and values of common coins
24.a: Identify nickels and quarters by name and value.
1. Names and values of common coins
24.b: Find the value of a collection of quarters, dimes, nickels, and pennies.		1. Count money - groups of like coins 2. Count money - pennies, nickels, and dimes only 3. Count money up to $1
24.b: Find the value of a collection of quarters, dimes, nickels, and pennies.
1. Count money - groups of like coins 2. Count money - pennies, nickels, and dimes only 3. Count money up to $1
24.c: Solve word problems by adding and subtracting within one dollar, using the $ and ¢ symbols appropriately (not including decimal notation).		Ways to make an amount 1. Equivalent amounts of money up to $1 2. Exchanging money - with pictures 3. Exchanging money 4. Least number of coins 5. How much more to make a dollar? Comparisons with money 6. Exchanging money II 7. Do you have enough money? - up to $1 Add and subtract money 8. Add money up to $1 9. Add money up to $1: word problems 10. Subtract money up to $1 11. Subtract money up to $1: word problems 12. Add and subtract money up to $1 13. Add and subtract money up to $1: word problems Make change 14. Correct amount of change 15. Making change
24.c: Solve word problems by adding and subtracting within one dollar, using the $ and ¢ symbols appropriately (not including decimal notation).
Ways to make an amount 1. Equivalent amounts of money up to $1 2. Exchanging money - with pictures 3. Exchanging money 4. Least number of coins 5. How much more to make a dollar? Comparisons with money 6. Exchanging money II 7. Do you have enough money? - up to $1 Add and subtract money 8. Add money up to $1 9. Add money up to $1: word problems 10. Subtract money up to $1 11. Subtract money up to $1: word problems 12. Add and subtract money up to $1 13. Add and subtract money up to $1: word problems Make change 14. Correct amount of change 15. Making change

G	Geometry
Reason with shapes and their attributes.
25 Identify triangles, quadrilaterals, pentagons, hexagons, and cubes.
25 Identify triangles, quadrilaterals, pentagons, hexagons, and cubes.

25.a: Recognize and draw shapes having specified attributes.		Two-dimensional shapes 1. Count sides and vertices 2. Identify quadrilaterals 3. Identify pentagons 4. Name polygons: up to 6 sides 5. Classify polygons: up to 6 sides 6. Sort two-dimensional shapes 7. Draw polygons 8. Compare sides and vertices Three-dimensional shapes 9. Cubes 10. Count vertices, edges, and faces 11. Compare vertices, edges, and faces 12. Identify faces of three-dimensional shapes 13. Identify shapes traced from solids 14. Sort three-dimensional shapes
25.a: Recognize and draw shapes having specified attributes.
Two-dimensional shapes 1. Count sides and vertices 2. Identify quadrilaterals 3. Identify pentagons 4. Name polygons: up to 6 sides 5. Classify polygons: up to 6 sides 6. Sort two-dimensional shapes 7. Draw polygons 8. Compare sides and vertices Three-dimensional shapes 9. Cubes 10. Count vertices, edges, and faces 11. Compare vertices, edges, and faces 12. Identify faces of three-dimensional shapes 13. Identify shapes traced from solids 14. Sort three-dimensional shapes

26 Partition a rectangle into rows and columns of same-size squares, and count to find the total number of squares.		1. Tile a rectangle with squares 2. Count the number of squares in a rectangle 3. Area
26 Partition a rectangle into rows and columns of same-size squares, and count to find the total number of squares.
1. Tile a rectangle with squares 2. Count the number of squares in a rectangle 3. Area

27 Partition circles and rectangles into two, three, or four equal shares. Describe the shares using such terms as halves, thirds, half of, or a third of, and describe the whole as two halves, three thirds, or four fourths.		Equal parts 1. Equal parts Identify halves, thirds, and fourths 2. Identify halves 3. Identify thirds 4. Identify fourths 5. Identify halves, thirds, and fourths 6. Identify a half, a third, and a fourth Make halves, thirds, and fourths 7. Make halves 8. Make thirds 9. Make fourths 10. Make halves, thirds, and fourths
27 Partition circles and rectangles into two, three, or four equal shares. Describe the shares using such terms as halves, thirds, half of, or a third of, and describe the whole as two halves, three thirds, or four fourths.
Equal parts 1. Equal parts Identify halves, thirds, and fourths 2. Identify halves 3. Identify thirds 4. Identify fourths 5. Identify halves, thirds, and fourths 6. Identify a half, a third, and a fourth Make halves, thirds, and fourths 7. Make halves 8. Make thirds 9. Make fourths 10. Make halves, thirds, and fourths
27.a: Explain that equal shares of identical wholes need not have the same shape.		1. Make halves, thirds, and fourths in different ways
27.a: Explain that equal shares of identical wholes need not have the same shape.
1. Make halves, thirds, and fourths in different ways