IXL Skill Plan | Minnesota Academic Standards (adopted in 2022): Kindergarten

Minnesota Academic Standards (adopted in 2022): Kindergarten

Skills available for Minnesota Kindergarten math standards

Strand

Data and Probability
Spatial Reasoning
Patterns and Relationships

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Data and Probability
Data Sciences: Identify, formulate and investigate statistical questions by collecting data considering cultural perspectives, analyzing and interpreting data and communicating the results.
0.1.1.1 Notice and describe patterns in data-rich situations.		1. Interpret picture graphs 2. Interpret tally charts - how many?
0.1.1.1 Notice and describe patterns in data-rich situations.
1. Interpret picture graphs 2. Interpret tally charts - how many?

0.1.1.2 Organize objects, draw pictures or use tally marks to represent data and communicate observations.		1. Which picture graph is correct? 2. Make picture graphs 3. Which tally chart is correct?
0.1.1.2 Organize objects, draw pictures or use tally marks to represent data and communicate observations.
1. Which picture graph is correct? 2. Make picture graphs 3. Which tally chart is correct?

Spatial Reasoning
Measurement: Investigate measurement using a variety of tools, units, systems, processes and techniques in various cultures. Explain and reason with attributes, estimations and formulas to communicate measurement(s) and relationships effectively. Justify decisions and consider the reasonableness of the measurement.
0.2.3.1 Compare objects with a measurable attribute in common, to see which object has "more of," "less of" or the "same as" the attribute and explain the reasoning.		1. Long and short 2. Tall and short 3. Wide and narrow 4. Light and heavy 5. Holds more or less 6. Covers more or less 7. Compare size, weight, and capacity
0.2.3.1 Compare objects with a measurable attribute in common, to see which object has "more of," "less of" or the "same as" the attribute and explain the reasoning.
1. Long and short 2. Tall and short 3. Wide and narrow 4. Light and heavy 5. Holds more or less 6. Covers more or less 7. Compare size, weight, and capacity

0.2.3.2 Describe several measurable attributes of objects such as length and weight.		1. Long and short 2. Tall and short 3. Wide and narrow 4. Light and heavy 5. Holds more or less 6. Covers more or less 7. Compare size, weight, and capacity 8. Should you measure size, weight, or capacity?
0.2.3.2 Describe several measurable attributes of objects such as length and weight.
1. Long and short 2. Tall and short 3. Wide and narrow 4. Light and heavy 5. Holds more or less 6. Covers more or less 7. Compare size, weight, and capacity 8. Should you measure size, weight, or capacity?
Geometry: Analyze characteristics of geometric shapes to make mathematical arguments and justifications about geometric relationships. Use visualization and geometric modeling to compare, solve problems and communicate ideas.
0.2.4.1 Sort objects using characteristics such as shape, size, color and thickness.		Classify objects 1. Different 2. Same 3. Same and different 4. Classify shapes by color Sort objects 5. Sort circles 6. Sort two-dimensional shapes 7. Classify and sort by color 8. Classify and sort by shape 9. Classify and sort 10. Sort shapes into a Venn diagram
0.2.4.1 Sort objects using characteristics such as shape, size, color and thickness.
Classify objects 1. Different 2. Same 3. Same and different 4. Classify shapes by color Sort objects 5. Sort circles 6. Sort two-dimensional shapes 7. Classify and sort by color 8. Classify and sort by shape 9. Classify and sort 10. Sort shapes into a Venn diagram

0.2.4.2 Identify and compare two- and three-dimensional shapes such as squares, circles, triangles, rectangles, trapezoids, hexagons, cubes, cones, cylinders and spheres using informal language to describe their similarities, differences, parts and other attributes.		Two-dimensional shapes 1. Curved parts 2. Count corners 3. Square corners 4. Count sides 5. Equal sides 6. Count sides and corners 7. Compare sides and corners 8. Compare shapes using attributes Three-dimensional shapes 9. Describe solid shapes 10. Identify shapes traced from solids
0.2.4.2 Identify and compare two- and three-dimensional shapes such as squares, circles, triangles, rectangles, trapezoids, hexagons, cubes, cones, cylinders and spheres using informal language to describe their similarities, differences, parts and other attributes.
Two-dimensional shapes 1. Curved parts 2. Count corners 3. Square corners 4. Count sides 5. Equal sides 6. Count sides and corners 7. Compare sides and corners 8. Compare shapes using attributes Three-dimensional shapes 9. Describe solid shapes 10. Identify shapes traced from solids

0.2.4.3 Compose, decompose and name simple shapes. Recognize shapes regardless of their overall size and orientation.		Two-dimensional shapes 1. Circles 2. Triangles 3. Rectangles 4. Squares 5. Hexagons 6. Select two-dimensional shapes 7. Name the two-dimensional shape 8. Sort circles 9. Sort two-dimensional shapes Three-dimensional shapes 10. Spheres 11. Cubes 12. Cones 13. Cylinders 14. Select three-dimensional shapes 15. Name the three-dimensional shape Compose and decompose shapes 16. Compose simple two-dimensional shapes 17. Build and take apart three-dimensional shapes
0.2.4.3 Compose, decompose and name simple shapes. Recognize shapes regardless of their overall size and orientation.
Two-dimensional shapes 1. Circles 2. Triangles 3. Rectangles 4. Squares 5. Hexagons 6. Select two-dimensional shapes 7. Name the two-dimensional shape 8. Sort circles 9. Sort two-dimensional shapes Three-dimensional shapes 10. Spheres 11. Cubes 12. Cones 13. Cylinders 14. Select three-dimensional shapes 15. Name the three-dimensional shape Compose and decompose shapes 16. Compose simple two-dimensional shapes 17. Build and take apart three-dimensional shapes

0.2.4.4 Describe objects in the environment using names of shapes. Describe the relative positions of these objects using terms such as above, below, beside, in front of, behind and next to.		Shape names 1. Two-dimensional shapes in the real world 2. Three-dimensional shapes in the real world I 3. Three-dimensional shapes in the real world II Relative positions 4. In front of and behind 5. Inside and outside 6. Above and below 7. Beside and next to 8. Left, middle, and right 9. Top, middle, and bottom 10. Location in a grid Shape names and positions 11. Three-dimensional shapes - above and below 12. Three-dimensional shapes - beside and next to
0.2.4.4 Describe objects in the environment using names of shapes. Describe the relative positions of these objects using terms such as above, below, beside, in front of, behind and next to.
Shape names 1. Two-dimensional shapes in the real world 2. Three-dimensional shapes in the real world I 3. Three-dimensional shapes in the real world II Relative positions 4. In front of and behind 5. Inside and outside 6. Above and below 7. Beside and next to 8. Left, middle, and right 9. Top, middle, and bottom 10. Location in a grid Shape names and positions 11. Three-dimensional shapes - above and below 12. Three-dimensional shapes - beside and next to

Patterns and Relationships
Number Relationships: Describe, Interpret and use quantities, relationships between quantities, representations of quantities, and number systems. Describe operations and the relationship between operations. Use strategies and procedures accurately, efficiently and flexibly. Assess the reasonableness of the results.
0.3.5.1 Recognize that a number can be used to represent how many objects are in a set or to represent the position of an object in a sequence. When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number with one and only one object. Understand that the last number said tells the number of objects counted. Understand that each successive number refers to a quantity that is one more. Name the position of an object in a sequence (ordinal count).		Numbers up to 3 1. Learn to count to 3 2. Count pictures - up to 3 3. Count on frames - up to 3 4. Count out stickers - up to 3 5. Show numbers on frames - up to 3 6. Represent numbers with pictures - up to 3 7. Represent numbers with shapes - up to 3 Numbers up to 5 8. Learn to count to 5 9. Count pictures - up to 5 10. Count dots - 0 to 5 11. Count on frames - up to 5 12. Count out stickers - up to 5 13. Show numbers on frames - up to 5 14. Represent numbers with pictures - up to 5 15. Represent numbers with shapes - up to 5 Numbers up to 7 16. Learn to count - up to 7 17. Count pictures - up to 7 18. Count cubes - up to 7 19. Count on ten frames - up to 7 20. Count out stickers - up to 7 21. Show numbers with cubes - up to 7 22. Show numbers on ten frames - up to 7 23. Represent numbers - up to 7 Numbers up to 9 24. Learn to count - up to 9 25. Count pictures - up to 9 26. Count cubes - up to 9 27. Count on ten frames - up to 9 28. Count out stickers - up to 9 29. Show numbers with cubes - up to 9 30. Show numbers on ten frames - up to 9 31. Represent numbers - up to 9 Numbers up to 10 32. Learn to count to 10 33. Count pictures - up to 10 34. Count dots - up to 10 35. Count on ten frames - up to 10 36. Count out stickers - up to 10 37. Show numbers on ten frames - up to 10 38. Represent numbers - up to 10 Numbers up to 20 39. Count pictures - up to 20 40. Count dots - 0 to 20 41. Count on ten frames - up to 20 42. Count pictures in arrays and circles - up to 20 43. Show numbers on ten frames - up to 20 44. Represent numbers - up to 20 Numbers up to 30 45. Count on ten frames - up to 30 46. Count blocks - up to 30 47. Represent numbers - up to 30 Numbers beyond 30 48. Count pictures - up to 100 49. Count blocks - up to 100 One more - up to 5 50. One more with pictures - up to 5 51. One more on frames - up to 5 52. One more - up to 5 One more - up to 10 53. One more with pictures - up to 10 54. One more on frames - up to 10 55. One more - up to 10 One more - up to 20 56. One more - up to 20 Ordinal numbers 57. Ordinal numbers - up to fifth 58. Ordinal numbers - up to tenth
0.3.5.1 Recognize that a number can be used to represent how many objects are in a set or to represent the position of an object in a sequence. When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number with one and only one object. Understand that the last number said tells the number of objects counted. Understand that each successive number refers to a quantity that is one more. Name the position of an object in a sequence (ordinal count).
Numbers up to 3 1. Learn to count to 3 2. Count pictures - up to 3 3. Count on frames - up to 3 4. Count out stickers - up to 3 5. Show numbers on frames - up to 3 6. Represent numbers with pictures - up to 3 7. Represent numbers with shapes - up to 3 Numbers up to 5 8. Learn to count to 5 9. Count pictures - up to 5 10. Count dots - 0 to 5 11. Count on frames - up to 5 12. Count out stickers - up to 5 13. Show numbers on frames - up to 5 14. Represent numbers with pictures - up to 5 15. Represent numbers with shapes - up to 5 Numbers up to 7 16. Learn to count - up to 7 17. Count pictures - up to 7 18. Count cubes - up to 7 19. Count on ten frames - up to 7 20. Count out stickers - up to 7 21. Show numbers with cubes - up to 7 22. Show numbers on ten frames - up to 7 23. Represent numbers - up to 7 Numbers up to 9 24. Learn to count - up to 9 25. Count pictures - up to 9 26. Count cubes - up to 9 27. Count on ten frames - up to 9 28. Count out stickers - up to 9 29. Show numbers with cubes - up to 9 30. Show numbers on ten frames - up to 9 31. Represent numbers - up to 9 Numbers up to 10 32. Learn to count to 10 33. Count pictures - up to 10 34. Count dots - up to 10 35. Count on ten frames - up to 10 36. Count out stickers - up to 10 37. Show numbers on ten frames - up to 10 38. Represent numbers - up to 10 Numbers up to 20 39. Count pictures - up to 20 40. Count dots - 0 to 20 41. Count on ten frames - up to 20 42. Count pictures in arrays and circles - up to 20 43. Show numbers on ten frames - up to 20 44. Represent numbers - up to 20 Numbers up to 30 45. Count on ten frames - up to 30 46. Count blocks - up to 30 47. Represent numbers - up to 30 Numbers beyond 30 48. Count pictures - up to 100 49. Count blocks - up to 100 One more - up to 5 50. One more with pictures - up to 5 51. One more on frames - up to 5 52. One more - up to 5 One more - up to 10 53. One more with pictures - up to 10 54. One more on frames - up to 10 55. One more - up to 10 One more - up to 20 56. One more - up to 20 Ordinal numbers 57. Ordinal numbers - up to fifth 58. Ordinal numbers - up to tenth

0.3.5.2 Count collections of objects up to 31 by grouping in 10s using ten-frames, cups or other tools.		Count up to 10 1. Count cubes - up to 10 2. Count shapes in rows - up to 10 3. Count on ten frames - up to 10 Count up to 20 4. Count pictures - up to 20 5. Count dots - 0 to 20 6. Count on ten frames - up to 20 Count up to 30 7. Count on ten frames - up to 30 8. Count blocks - up to 30
0.3.5.2 Count collections of objects up to 31 by grouping in 10s using ten-frames, cups or other tools.
Count up to 10 1. Count cubes - up to 10 2. Count shapes in rows - up to 10 3. Count on ten frames - up to 10 Count up to 20 4. Count pictures - up to 20 5. Count dots - 0 to 20 6. Count on ten frames - up to 20 Count up to 30 7. Count on ten frames - up to 30 8. Count blocks - up to 30

0.3.5.3 Read, write, compare, order and represent whole numbers from 0 to at least 31 (with 0 representing the count of no objects) to answer the question "how many?". Representations may include numerals, pictures, real objects, picture graphs, spoken words and manipulatives, such as connecting cubes. The numbers from 11 to 19 are composed of a 10 and one, two, three, four, five, six, seven, eight or nine ones.		Numbers up to 3 1. Identify numbers - up to 3 2. Choose the number that you hear - up to 3 3. Count pictures - up to 3 4. Count shapes - up to 3 5. Count cubes - up to 3 6. Count on frames - up to 3 7. Count out stickers - up to 3 8. Show numbers with cubes - up to 3 9. Show numbers on frames - up to 3 10. Represent numbers with pictures - up to 3 11. Represent numbers with shapes - up to 3 Numbers up to 5 12. Identify numbers - 0 to 5 13. Choose the number that you hear - 0 to 5 14. Count pictures - up to 5 15. Count shapes in rows - up to 5 16. Count cubes - up to 5 17. Count dots - 0 to 5 18. Count on frames - up to 5 19. Count out stickers - up to 5 20. Show numbers with cubes - up to 5 21. Show numbers on frames - up to 5 22. Represent numbers with pictures - up to 5 23. Represent numbers with pictures - 0 to 5 24. Represent numbers with shapes - up to 5 Numbers up to 7 25. Choose the number that you hear - up to 7 26. Count pictures - up to 7 27. Count cubes - up to 7 28. Count on ten frames - up to 7 29. Count out stickers - up to 7 30. Show numbers with cubes - up to 7 31. Show numbers on ten frames - up to 7 32. Represent numbers - up to 7 Numbers up to 9 33. Identify numbers - 0 to 9 34. Choose the number that you hear - up to 9 35. Count pictures - up to 9 36. Count cubes - up to 9 37. Count on ten frames - up to 9 38. Count out stickers - up to 9 39. Show numbers with cubes - up to 9 40. Show numbers on ten frames - up to 9 41. Represent numbers - up to 9 Numbers up to 10 42. Identify numbers - up to 10 43. Choose the number that you hear - up to 10 44. Names of numbers - up to 10 45. Count pictures - up to 10 46. Count cubes - up to 10 47. Count dots - up to 10 48. Count shapes in rows - up to 10 49. Count on ten frames - up to 10 50. Count blocks - up to 10 51. Count out stickers - up to 10 52. Show numbers with cubes - up to 10 53. Show numbers on ten frames - up to 10 54. Represent numbers - up to 10 Numbers up to 20 55. Identify numbers - up to 20 56. Write the number you hear - up to 20 57. Names of numbers - up to 20 58. Count pictures - up to 20 59. Count dots - 0 to 20 60. Count on ten frames - up to 20 61. Count blocks - up to 20 62. Show numbers on ten frames - up to 20 63. Represent numbers - up to 20 Teen numbers 64. Make teen numbers with models: words 65. Make teen numbers: words 66. Take apart teen numbers with models: words 67. Take apart teen numbers: words 68. Understand tens and ones - up to 20 69. Make and take apart teen numbers: tens and ones Numbers up to 30 70. Count on ten frames - up to 30 71. Count blocks - up to 30 72. Identify numbers - up to 30 73. Write the number you hear - up to 30 74. Names of numbers - up to 30 75. Represent numbers - up to 30 Numbers beyond 30 76. Write the number you hear - up to 100 77. Count pictures - up to 100 78. Count blocks - up to 100 Compare numbers up to 5 79. Compare two numbers - up to 5 80. Greater and less - compare two numbers up to 5 Compare and order numbers up to 10 81. Compare two numbers - up to 10 82. Greater and less - compare two numbers up to 10 83. Compare three numbers - up to 10 84. Put numbers up to 10 in order Compare and order numbers up to 20 85. Compare numbers up to 20 86. Put numbers up to 20 in order Compare and order numbers up to 30 87. Compare numbers up to 30 using words 88. Put numbers up to 30 in order Compare and order numbers beyond 30 89. Compare numbers up to 100 using words
0.3.5.3 Read, write, compare, order and represent whole numbers from 0 to at least 31 (with 0 representing the count of no objects) to answer the question "how many?". Representations may include numerals, pictures, real objects, picture graphs, spoken words and manipulatives, such as connecting cubes. The numbers from 11 to 19 are composed of a 10 and one, two, three, four, five, six, seven, eight or nine ones.
Numbers up to 3 1. Identify numbers - up to 3 2. Choose the number that you hear - up to 3 3. Count pictures - up to 3 4. Count shapes - up to 3 5. Count cubes - up to 3 6. Count on frames - up to 3 7. Count out stickers - up to 3 8. Show numbers with cubes - up to 3 9. Show numbers on frames - up to 3 10. Represent numbers with pictures - up to 3 11. Represent numbers with shapes - up to 3 Numbers up to 5 12. Identify numbers - 0 to 5 13. Choose the number that you hear - 0 to 5 14. Count pictures - up to 5 15. Count shapes in rows - up to 5 16. Count cubes - up to 5 17. Count dots - 0 to 5 18. Count on frames - up to 5 19. Count out stickers - up to 5 20. Show numbers with cubes - up to 5 21. Show numbers on frames - up to 5 22. Represent numbers with pictures - up to 5 23. Represent numbers with pictures - 0 to 5 24. Represent numbers with shapes - up to 5 Numbers up to 7 25. Choose the number that you hear - up to 7 26. Count pictures - up to 7 27. Count cubes - up to 7 28. Count on ten frames - up to 7 29. Count out stickers - up to 7 30. Show numbers with cubes - up to 7 31. Show numbers on ten frames - up to 7 32. Represent numbers - up to 7 Numbers up to 9 33. Identify numbers - 0 to 9 34. Choose the number that you hear - up to 9 35. Count pictures - up to 9 36. Count cubes - up to 9 37. Count on ten frames - up to 9 38. Count out stickers - up to 9 39. Show numbers with cubes - up to 9 40. Show numbers on ten frames - up to 9 41. Represent numbers - up to 9 Numbers up to 10 42. Identify numbers - up to 10 43. Choose the number that you hear - up to 10 44. Names of numbers - up to 10 45. Count pictures - up to 10 46. Count cubes - up to 10 47. Count dots - up to 10 48. Count shapes in rows - up to 10 49. Count on ten frames - up to 10 50. Count blocks - up to 10 51. Count out stickers - up to 10 52. Show numbers with cubes - up to 10 53. Show numbers on ten frames - up to 10 54. Represent numbers - up to 10 Numbers up to 20 55. Identify numbers - up to 20 56. Write the number you hear - up to 20 57. Names of numbers - up to 20 58. Count pictures - up to 20 59. Count dots - 0 to 20 60. Count on ten frames - up to 20 61. Count blocks - up to 20 62. Show numbers on ten frames - up to 20 63. Represent numbers - up to 20 Teen numbers 64. Make teen numbers with models: words 65. Make teen numbers: words 66. Take apart teen numbers with models: words 67. Take apart teen numbers: words 68. Understand tens and ones - up to 20 69. Make and take apart teen numbers: tens and ones Numbers up to 30 70. Count on ten frames - up to 30 71. Count blocks - up to 30 72. Identify numbers - up to 30 73. Write the number you hear - up to 30 74. Names of numbers - up to 30 75. Represent numbers - up to 30 Numbers beyond 30 76. Write the number you hear - up to 100 77. Count pictures - up to 100 78. Count blocks - up to 100 Compare numbers up to 5 79. Compare two numbers - up to 5 80. Greater and less - compare two numbers up to 5 Compare and order numbers up to 10 81. Compare two numbers - up to 10 82. Greater and less - compare two numbers up to 10 83. Compare three numbers - up to 10 84. Put numbers up to 10 in order Compare and order numbers up to 20 85. Compare numbers up to 20 86. Put numbers up to 20 in order Compare and order numbers up to 30 87. Compare numbers up to 30 using words 88. Put numbers up to 30 in order Compare and order numbers beyond 30 89. Compare numbers up to 100 using words

0.3.5.4 Count forward, with and without objects, to at least 31. Count backward from 20.		Count up to 3 with objects 1. Learn to count to 3 2. Count pictures - up to 3 3. Count on frames - up to 3 Count up to 5 with objects 4. Learn to count to 5 5. Count pictures - up to 5 6. Count dots - 0 to 5 7. Count on frames - up to 5 Count up to 5 without objects 8. What number comes next? - up to 5 Count up to 7 with objects 9. Learn to count - up to 7 10. Count pictures - up to 7 11. Count on ten frames - up to 7 Count up to 9 with objects 12. Learn to count - up to 9 13. Count pictures - up to 9 14. Count on ten frames - up to 9 Count up to 10 with objects 15. Learn to count to 10 16. Count pictures - up to 10 17. Count dots - up to 10 18. Count on ten frames - up to 10 19. Count blocks - up to 10 Count up to 10 without objects 20. What number comes next? - up to 10 21. Count up to find the next number - up to 10 22. Count up and down to find the next number - up to 10 23. Before, after, and between - up to 10 24. Put numbers in counting order - up to 10 25. Count forward - up to 10 26. Count forward and backward - up to 10 27. Complete a sequence - up to 10 Count up to 20 with objects 28. Count pictures - up to 20 29. Count dots - 0 to 20 30. Count on ten frames - up to 20 31. Count blocks - up to 20 Count up to 20 without objects 32. Count on a chart - up to 20 33. Count up to find the next number - up to 20 34. Count up and down to find the next number - up to 20 35. Before, after, and between - up to 20 36. Count forward - up to 20 37. Count backward - up to 20 38. Count forward and backward - up to 20 39. Complete a sequence - up to 20 Count up to 30 with objects 40. Count on ten frames - up to 30 41. Count blocks - up to 30 Count up to 30 without objects 42. Count on a chart - up to 30 43. Count forward - up to 30 Count beyond 30 with objects 44. Count pictures - up to 100 45. Count blocks - up to 100 Count beyond 30 without objects 46. Count on a chart - up to 50 47. Count on the hundred chart 48. Count forward on the hundred chart 49. Count up to find the next number - up to 100 50. Count forward - up to 100
0.3.5.4 Count forward, with and without objects, to at least 31. Count backward from 20.
Count up to 3 with objects 1. Learn to count to 3 2. Count pictures - up to 3 3. Count on frames - up to 3 Count up to 5 with objects 4. Learn to count to 5 5. Count pictures - up to 5 6. Count dots - 0 to 5 7. Count on frames - up to 5 Count up to 5 without objects 8. What number comes next? - up to 5 Count up to 7 with objects 9. Learn to count - up to 7 10. Count pictures - up to 7 11. Count on ten frames - up to 7 Count up to 9 with objects 12. Learn to count - up to 9 13. Count pictures - up to 9 14. Count on ten frames - up to 9 Count up to 10 with objects 15. Learn to count to 10 16. Count pictures - up to 10 17. Count dots - up to 10 18. Count on ten frames - up to 10 19. Count blocks - up to 10 Count up to 10 without objects 20. What number comes next? - up to 10 21. Count up to find the next number - up to 10 22. Count up and down to find the next number - up to 10 23. Before, after, and between - up to 10 24. Put numbers in counting order - up to 10 25. Count forward - up to 10 26. Count forward and backward - up to 10 27. Complete a sequence - up to 10 Count up to 20 with objects 28. Count pictures - up to 20 29. Count dots - 0 to 20 30. Count on ten frames - up to 20 31. Count blocks - up to 20 Count up to 20 without objects 32. Count on a chart - up to 20 33. Count up to find the next number - up to 20 34. Count up and down to find the next number - up to 20 35. Before, after, and between - up to 20 36. Count forward - up to 20 37. Count backward - up to 20 38. Count forward and backward - up to 20 39. Complete a sequence - up to 20 Count up to 30 with objects 40. Count on ten frames - up to 30 41. Count blocks - up to 30 Count up to 30 without objects 42. Count on a chart - up to 30 43. Count forward - up to 30 Count beyond 30 with objects 44. Count pictures - up to 100 45. Count blocks - up to 100 Count beyond 30 without objects 46. Count on a chart - up to 50 47. Count on the hundred chart 48. Count forward on the hundred chart 49. Count up to find the next number - up to 100 50. Count forward - up to 100

0.3.5.5 Find a number that is 1 more or 1 less than a given number.		Numbers up to 5 1. One more with pictures - up to 5 2. One more on frames - up to 5 3. One more - up to 5 4. One less with pictures - up to 5 5. One less on frames - up to 5 Numbers up to 10 6. One more with pictures - up to 10 7. One more on frames - up to 10 8. One more - up to 10 9. One less with pictures - up to 10 10. One less on frames - up to 10 11. One less - up to 10 12. One more and one less with pictures - up to 10 13. One more and one less on frames - up to 10 14. One more and one less - up to 10 Numbers up to 20 15. One more - up to 20 16. One less - up to 20 17. One more and one less - up to 20
0.3.5.5 Find a number that is 1 more or 1 less than a given number.
Numbers up to 5 1. One more with pictures - up to 5 2. One more on frames - up to 5 3. One more - up to 5 4. One less with pictures - up to 5 5. One less on frames - up to 5 Numbers up to 10 6. One more with pictures - up to 10 7. One more on frames - up to 10 8. One more - up to 10 9. One less with pictures - up to 10 10. One less on frames - up to 10 11. One less - up to 10 12. One more and one less with pictures - up to 10 13. One more and one less on frames - up to 10 14. One more and one less - up to 10 Numbers up to 20 15. One more - up to 20 16. One less - up to 20 17. One more and one less - up to 20

0.3.5.6 Solve and represent a variety of addition and subtraction contextual situation types using objects, drawings, mental images or equations within 10.		Addition up to 5 1. Add with cubes - sums up to 5 2. Build cube trains to add up to 5 - addition sentences 3. Add with pictures - sums up to 5 4. Add two numbers - sums up to 5 5. Make a number using addition - sums up to 5 Subtraction up to 5 6. Subtract with cubes - numbers up to 5 7. Subtract with pictures - numbers up to 5 8. Subtract - numbers up to 5 9. Make a number using subtraction - numbers up to 5 10. Complete the subtraction sentence - numbers up to 5 Addition word problems up to 5 11. Build cube trains to solve addition word problems - sums up to 5 12. Addition word problems with pictures - sums up to 5 13. Write addition sentences for word problems with pictures - sums up to 5 14. Addition word problems - sums up to 5 15. Model and write addition sentences for word problems - sums up to 5 Subtraction word problems up to 5 16. Subtraction word problems with pictures - numbers up to 5 17. Write subtraction sentences for word problems with pictures - up to 5 18. Use cube trains to solve subtraction word problems - up to 5 19. Subtraction word problems - numbers up to 5 20. Model and write subtraction sentences for word problems - up to 5 Addition and subtraction up to 5 21. Add or subtract - numbers up to 5 Addition up to 10 22. Add with cubes - sums up to 10 23. Build cube trains to add up to 10 - addition sentences 24. Add with pictures - sums up to 10 25. Add two numbers - sums up to 10 26. Complete the addition sentence to make 10 - with models 27. Make a number using addition - sums up to 10 Subtraction up to 10 28. Subtract with cubes - numbers up to 10 29. Subtract with pictures - numbers up to 10 30. Subtract - numbers up to 10 31. Make a number using subtraction - numbers up to 10 Addition word problems up to 10 32. Build cube trains to solve addition word problems - sums up to 10 33. Addition word problems with pictures - sums up to 10 34. Write addition sentences for word problems with pictures - sums up to 10 35. Addition word problems - sums up to 10 36. Model and write addition sentences for word problems - sums up to 10 Subtraction word problems up to 10 37. Subtraction word problems with pictures - numbers up to 10 38. Write subtraction sentences for word problems with pictures - up to 10 39. Use cube trains to solve subtraction word problems - up to 10 40. Subtraction word problems - numbers up to 10 41. Model and write subtraction sentences for word problems - up to 10 Addition and subtraction up to 10 42. Add or subtract - numbers up to 10 43. Addition and subtraction - ways to make a number 44. Add and subtract with 0 Addition and subtraction word problems up to 10 45. Addition and subtraction word problems with pictures 46. Use cube trains to solve addition and subtraction word problems - up to 10 47. Addition and subtraction word problems 48. Model and write addition and subtraction sentences for word problems
0.3.5.6 Solve and represent a variety of addition and subtraction contextual situation types using objects, drawings, mental images or equations within 10.
Addition up to 5 1. Add with cubes - sums up to 5 2. Build cube trains to add up to 5 - addition sentences 3. Add with pictures - sums up to 5 4. Add two numbers - sums up to 5 5. Make a number using addition - sums up to 5 Subtraction up to 5 6. Subtract with cubes - numbers up to 5 7. Subtract with pictures - numbers up to 5 8. Subtract - numbers up to 5 9. Make a number using subtraction - numbers up to 5 10. Complete the subtraction sentence - numbers up to 5 Addition word problems up to 5 11. Build cube trains to solve addition word problems - sums up to 5 12. Addition word problems with pictures - sums up to 5 13. Write addition sentences for word problems with pictures - sums up to 5 14. Addition word problems - sums up to 5 15. Model and write addition sentences for word problems - sums up to 5 Subtraction word problems up to 5 16. Subtraction word problems with pictures - numbers up to 5 17. Write subtraction sentences for word problems with pictures - up to 5 18. Use cube trains to solve subtraction word problems - up to 5 19. Subtraction word problems - numbers up to 5 20. Model and write subtraction sentences for word problems - up to 5 Addition and subtraction up to 5 21. Add or subtract - numbers up to 5 Addition up to 10 22. Add with cubes - sums up to 10 23. Build cube trains to add up to 10 - addition sentences 24. Add with pictures - sums up to 10 25. Add two numbers - sums up to 10 26. Complete the addition sentence to make 10 - with models 27. Make a number using addition - sums up to 10 Subtraction up to 10 28. Subtract with cubes - numbers up to 10 29. Subtract with pictures - numbers up to 10 30. Subtract - numbers up to 10 31. Make a number using subtraction - numbers up to 10 Addition word problems up to 10 32. Build cube trains to solve addition word problems - sums up to 10 33. Addition word problems with pictures - sums up to 10 34. Write addition sentences for word problems with pictures - sums up to 10 35. Addition word problems - sums up to 10 36. Model and write addition sentences for word problems - sums up to 10 Subtraction word problems up to 10 37. Subtraction word problems with pictures - numbers up to 10 38. Write subtraction sentences for word problems with pictures - up to 10 39. Use cube trains to solve subtraction word problems - up to 10 40. Subtraction word problems - numbers up to 10 41. Model and write subtraction sentences for word problems - up to 10 Addition and subtraction up to 10 42. Add or subtract - numbers up to 10 43. Addition and subtraction - ways to make a number 44. Add and subtract with 0 Addition and subtraction word problems up to 10 45. Addition and subtraction word problems with pictures 46. Use cube trains to solve addition and subtraction word problems - up to 10 47. Addition and subtraction word problems 48. Model and write addition and subtraction sentences for word problems

0.3.5.7 Compose and decompose numbers less than or equal to 10 into pairs in more than one way with objects and pictures. Record each decomposition with a drawing or equation.		Numbers up to 5 1. Complete the addition sentence - sums up to 5 2. Take apart numbers using cubes - sums up to 5 3. Make a number different ways using cubes - sums up to 5 4. Take apart numbers up to 5 - addition sentences 5. Take apart numbers in different ways - sums up to 5 6. Make a number using addition - sums up to 5 Numbers up to 10 7. Complete the addition sentence - sums up to 10 8. Take apart numbers using cubes - sums up to 10 9. Make a number different ways using cubes - sums up to 10 10. Decompose a number up to 10 11. Take apart numbers up to 10 - addition sentences 12. Take apart numbers in different ways - sums up to 10 13. Make a number using addition - sums up to 10
0.3.5.7 Compose and decompose numbers less than or equal to 10 into pairs in more than one way with objects and pictures. Record each decomposition with a drawing or equation.
Numbers up to 5 1. Complete the addition sentence - sums up to 5 2. Take apart numbers using cubes - sums up to 5 3. Make a number different ways using cubes - sums up to 5 4. Take apart numbers up to 5 - addition sentences 5. Take apart numbers in different ways - sums up to 5 6. Make a number using addition - sums up to 5 Numbers up to 10 7. Complete the addition sentence - sums up to 10 8. Take apart numbers using cubes - sums up to 10 9. Make a number different ways using cubes - sums up to 10 10. Decompose a number up to 10 11. Take apart numbers up to 10 - addition sentences 12. Take apart numbers in different ways - sums up to 10 13. Make a number using addition - sums up to 10

0.3.5.8 Fluently add and subtract within 5.		Addition 1. Add two numbers - sums up to 5 2. Complete the addition sentence - sums up to 5 3. Make a number using addition - sums up to 5 Subtraction 4. Subtract - numbers up to 5 5. Make a number using subtraction - numbers up to 5 6. Complete the subtraction sentence - numbers up to 5 Addition and subtraction 7. Add or subtract - numbers up to 5 8. Related facts with models - numbers up to 5
0.3.5.8 Fluently add and subtract within 5.
Addition 1. Add two numbers - sums up to 5 2. Complete the addition sentence - sums up to 5 3. Make a number using addition - sums up to 5 Subtraction 4. Subtract - numbers up to 5 5. Make a number using subtraction - numbers up to 5 6. Complete the subtraction sentence - numbers up to 5 Addition and subtraction 7. Add or subtract - numbers up to 5 8. Related facts with models - numbers up to 5
Equivalence and Relational Thinking: Use concepts and properties of equivalence and relational thinking to represent and compare numerical expressions, proportional relationships, algebraic expressions and equations.
0.3.6.1 Identify whether the number of objects in one group is greater than, less than or equal to the number of objects in another group (by using matching, counting strategies and a number line).		Fewer, more, and same - sets up to 5 1. Are there the same number? - up to 5 2. More - compare by matching up to 5 3. Fewer - compare by matching up to 5 4. Fewer and more - compare by matching up to 5 5. Fewer, more, and same - up to 5 6. Fewer and more - compare by counting up to 5 7. Fewer and more - compare in a mixed group up to 5 Enough - sets up to 5 8. Are there enough? - up to 5 Greater, less, and equal - sets up to 5 9. Greater - compare by matching up to 5 10. Less - compare by matching up to 5 11. Greater than, less than, or equal to - compare by counting up to 5 12. Count pictures and show a number that is greater, less, or equal - up to 5 13. Show a number greater than, less than, or equal to a given number up to 5 Fewer, more, and same - sets up to 10 14. Fewer and more - compare by matching 15. Fewer, more, and same 16. Fewer and more - compare by counting 17. Fewer and more - compare in a mixed group Enough - sets up to 10 18. Are there enough? Greater, less, and equal - sets up to 10 19. Greater and less - compare by matching up to 10 20. Greater than, less than, or equal to - compare by counting up to 10 21. Count pictures and show a number that is greater, less, or equal - up to 10 22. Show a number greater than, less than, or equal to a given number up to 10
0.3.6.1 Identify whether the number of objects in one group is greater than, less than or equal to the number of objects in another group (by using matching, counting strategies and a number line).
Fewer, more, and same - sets up to 5 1. Are there the same number? - up to 5 2. More - compare by matching up to 5 3. Fewer - compare by matching up to 5 4. Fewer and more - compare by matching up to 5 5. Fewer, more, and same - up to 5 6. Fewer and more - compare by counting up to 5 7. Fewer and more - compare in a mixed group up to 5 Enough - sets up to 5 8. Are there enough? - up to 5 Greater, less, and equal - sets up to 5 9. Greater - compare by matching up to 5 10. Less - compare by matching up to 5 11. Greater than, less than, or equal to - compare by counting up to 5 12. Count pictures and show a number that is greater, less, or equal - up to 5 13. Show a number greater than, less than, or equal to a given number up to 5 Fewer, more, and same - sets up to 10 14. Fewer and more - compare by matching 15. Fewer, more, and same 16. Fewer and more - compare by counting 17. Fewer and more - compare in a mixed group Enough - sets up to 10 18. Are there enough? Greater, less, and equal - sets up to 10 19. Greater and less - compare by matching up to 10 20. Greater than, less than, or equal to - compare by counting up to 10 21. Count pictures and show a number that is greater, less, or equal - up to 10 22. Show a number greater than, less than, or equal to a given number up to 10

0.3.6.2 Recognize that the equal sign (=) is a comparison symbol of two math expressions of equal value number.		Addition sentences 1. Write addition sentences for pictures - sums up to 5 2. Take apart numbers up to 5 - addition sentences 3. Take apart numbers in different ways - sums up to 5 4. Write addition sentences for pictures - sums up to 10 5. Complete the addition sentence to make 10 - with models 6. Add in any order 7. Take apart numbers up to 10 - addition sentences 8. Take apart numbers in different ways - sums up to 10 Subtraction sentences 9. Write subtraction sentences for pictures - up to 5 10. Complete the subtraction sentence - numbers up to 5 11. Write subtraction sentences for pictures - up to 10 12. Complete the subtraction sentence - numbers up to 10
0.3.6.2 Recognize that the equal sign (=) is a comparison symbol of two math expressions of equal value number.
Addition sentences 1. Write addition sentences for pictures - sums up to 5 2. Take apart numbers up to 5 - addition sentences 3. Take apart numbers in different ways - sums up to 5 4. Write addition sentences for pictures - sums up to 10 5. Complete the addition sentence to make 10 - with models 6. Add in any order 7. Take apart numbers up to 10 - addition sentences 8. Take apart numbers in different ways - sums up to 10 Subtraction sentences 9. Write subtraction sentences for pictures - up to 5 10. Complete the subtraction sentence - numbers up to 5 11. Write subtraction sentences for pictures - up to 10 12. Complete the subtraction sentence - numbers up to 10
Patterns and Relationships: Represent and connect mathematical patterns and relationships using verbal descriptions, generalizations, tables and graphs. Use representations to generate questions, make predictions and solve mathematical problems.
0.3.7.1 Recognize, create, complete and extend simple patterns using shape, color, size, number, sounds and movements. Patterns may be repeating, growing or shrinking.		Repeating patterns 1. Color patterns 2. Size patterns 3. Shape patterns 4. Find the next shape in a pattern 5. Complete a pattern Growing patterns 6. Growing patterns 7. Find the next shape in a growing pattern 8. Find the next row in a growing pattern
0.3.7.1 Recognize, create, complete and extend simple patterns using shape, color, size, number, sounds and movements. Patterns may be repeating, growing or shrinking.
Repeating patterns 1. Color patterns 2. Size patterns 3. Shape patterns 4. Find the next shape in a pattern 5. Complete a pattern Growing patterns 6. Growing patterns 7. Find the next shape in a growing pattern 8. Find the next row in a growing pattern

0.3.7.2 Recognize patterns in counting. Skip count by 10s starting at zero up to 100.		1. Learn to skip-count by tens 2. Skip-count by tens 3. Count groups of ten 4. Count forward by tens
0.3.7.2 Recognize patterns in counting. Skip count by 10s starting at zero up to 100.
1. Learn to skip-count by tens 2. Skip-count by tens 3. Count groups of ten 4. Count forward by tens