Course Content
A. Same and Different
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A.01. Identify objects that are the same.
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A.02. Identify objects that are different.
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A.03. Discriminate between objects that are the same and those that are different.
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A.04. Determine if shapes are the same.
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A.05. Explain why objects or shapes are the same or different based on their attributes.
B. Sorting and Classifying
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B.01. Classify objects by color.
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B.02. Classify and sort objects by shape.
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B.03. Classify and sort objects by either color or shape.
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B.04. Sort shapes into a Venn diagram based on their attributes.
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B.05. Compare shapes using their attributes (e.g., number of sides, color).
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B.06. Count the number of shapes in a Venn diagram.
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B.07. Develop a sorting rule and explain the reasoning behind it.
C. Positions
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C.05. Identify the position of solid figures as beside or next to.
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C.06. Identify objects that are left, middle, and right.
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C.07. Identify objects that are top, middle, and bottom.
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C.08. Determine the location of an object in a grid.
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C.09. Give directions to move an object to a specified location.
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C.01. Identify the position of an object as inside or outside.
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C.02. Identify the position of an object as above or below.
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C.03. Identify the position of solid figures as above or below.
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C.04. Identify the position of an object as beside or next to.
D. Measurement
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D.01. Identify objects that are long and short.
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D.02. Identify objects that are tall and short.
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D.03. Identify objects that are wide and narrow.
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D.04. Identify objects that are light and heavy.
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D.05. Determine which objects hold more or less.
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D.06. Compare objects by size, weight, and capacity.
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D.07. Measure objects using non-standard units.
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D.08. Estimate the length, height, width, and weight of real-world objects.
E. Comparing and Ordering
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E.01. Determine if there are enough objects in a set.
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E.02. Compare two groups of objects using matching to determine which has fewer or more.
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E.03. Compare two groups of objects by counting to determine which has fewer or more.
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E.04. Compare groups of objects in a mixed arrangement to determine which has fewer or more.
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E.05. Identify groups that have fewer, more, or the same number of objects.
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E.06. Compare two numbers up to 10.
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E.07. Compare three numbers up to 10.
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E.08. Arrange numbers up to 10 in order.
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E.09. Arrange numbers up to 20 in order.
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E.10. Explain the relative magnitude of numbers when comparing and ordering.
F. Numbers and Counting up to 3
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F.01. Learn to count to 3.
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F.02. Count to 3.
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F.03. Count using stickers – up to 3.
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F.04. Count on ten frames – up to 3.
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F.05. Represent numbers – up to 3.
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F.06. Identify ordinal numbers up to third.
G. Numbers and Counting up to 5
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G.01. Learn to count to 5.
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G.02. Count to 5.
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G.03. Count using stickers – up to 5.
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G.04. Count on ten frames – up to 5.
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G.05. Represent numbers – up to 5.
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G.06. Determine one more than a number up to 5.
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G.07. Count one more than a number up to 5.
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G.08. Determine one less than a number up to 5.
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G.09. Count one less than a number up to 5.
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G.10. Identify ordinal numbers up to fifth.
H. Numbers and Counting up to 10
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H.01. Identify numbers up to 10.
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H.02. Choose the number that you hear – up to 10.
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H.03. Learn to count to 10.
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H.04. Count to 10.
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H.05. Count using stickers – up to 10.
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H.06. Count on ten frames – up to 10.
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H.07. Represent numbers – up to 10.
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H.08. Use tally marks to represent numbers up to 10.
I. One More and One Less up to 10
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I.01. Determine one more than a number up to 10.
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I.02. Count one more than a number up to 10.
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I.03. Determine one less than a number up to 10.
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I.04. Count one less than a number up to 10.
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I.05. Determine one more and one less than a given number up to 10.
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I.06. Count one more and one less than a given number up to 10.
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I.07. Apply the concepts of one more and one less to solve simple word problems.
J. Counting Forward and Back up to 10
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J.01. Count up and down to find the next number – up to 10.
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J.02. Count to fill a ten frame.
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J.03. Use number lines – up to 10.
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J.04. Identify the numbers before, after, and between – up to 10.
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J.05. Count forward – up to 10.
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J.06. Count forward and backward – up to 10.
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J.07. Recognize names of numbers – up to 10.
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J.08. Complete a number sequence – up to 10.
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J.09. Identify ordinal numbers – up to tenth.
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J.10. Predict subsequent numbers in a more complex counting sequence
K. Numbers and Counting up to 20
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K.01. Identify numbers up to 20.
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K.02. Count to 20.
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K.03. Count on ten frames – up to 20.
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K.04. Show numbers on ten frames – up to 20.
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K.05. Represent numbers – up to 20.
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K.06. Count up and down to find the next number – up to 20.
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K.07. Use tally marks – up to 20.
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K.08. Use number lines – up to 20.
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K.09. Identify the numbers before, after and between – up to 20.
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K.10. Count forward – up to 20.
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K.11. Count forward and backward – up to 20.
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K.12. Recognize names of numbers – up to 20.
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K.13. Complete a number sequence – up to 20.
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K.14. Count tens and ones – up to 20.
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K.15. Write tens and ones – up to 20.
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K.16. Explain place value concepts in numbers up to 20.
L. Understand Teen Numbers
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L.01. Make teen numbers with models using words.
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L.02. Make teen numbers using words.
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L.03. Take apart teen numbers with models using words.
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L.04. Take apart teen numbers using words.
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L.05. Make and take apart teen numbers with models using addition sentences.
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L.06. Make and take apart teen numbers using addition sentences.
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L.07. Relate teen numbers to their representation as a sum of ten and some ones.
M. Numbers and Counting beyond 20
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M.01. Count on ten frames – up to 30.
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M.02. Count to 100.
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M.03. Count on the hundred chart.
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M.04. Count groups of ten.
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M.05. Use number lines – up to 30.
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M.06. Count tens and ones – up to 30.
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M.07. Identify the number of tens and ones in a two-digit number.
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M.08. Use manipulatives to represent numbers beyond 20.
N. Skip-Counting
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N.01. Learn to skip-count by twos.
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N.02. Skip-count by twos.
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N.03. Learn to skip-count by fives.
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N.04. Skip-count by fives.
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N.05. Learn to skip-count by tens.
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N.06. Skip-count by tens.
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N.07. Learn to skip-count by twos, fives and tens.
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N.08. Skip-count by twos, fives and tens.
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N.09. Recognize patterns when skip-counting.
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N.10. Apply skip-counting to solve real-world problems.
O. Patterns
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O.01. Identify color patterns.
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O.02. Identify size patterns.
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O.03. Identify shape patterns.
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O.04. Find the next shape in a pattern.
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O.05. Complete a pattern.
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O.06. Identify growing patterns.
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O.07. Find the next shape in a growing pattern.
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O.08. Find the next row in a growing pattern.
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O.09. Create their own simple patterns using colors, shapes, and sizes.
P. Understand Addition up to 5
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P.01. Put together numbers using cubes – sums up to 5.
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P.02. Build cube trains to add up to 5 – words.
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P.03. Match addition sentences up to 5 to the correct model.
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P.04. Interpret what a model shows for addition sentences up to 5.
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P.05. Write addition sentences for pictures – sums up to 5.
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P.06. Model addition problems with manipulatives and drawings.
Q. Addition up to 5
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Q.02. Write addition sentences – sums up to 5.
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Q.03. Make a number using addition – sums up to 5.
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Q.04. Add two numbers – sums up to 5.
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Q.05. Complete the addition sentence – sums up to 5.
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Q.06. Solve addition word problems – sums up to 5.
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Q.07. Explain the relationship between addition and combining sets.
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Q.01. Add with pictures – sums up to 5.
R. Take Apart Numbers up to 5
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R.01. Take apart numbers using cubes – sums up to 5.
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R.02. Make a number different ways using cubes – sums up to 5.
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R.03. Take apart numbers up to 5 – addition sentences.
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R.04. Represent different ways to decompose numbers using manipulatives and drawings.
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R.05. Explain the relationship between taking apart numbers and subtraction.
S. Understand Addition up to 10
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S.01. Put together numbers using cubes – sums up to 10.
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S.02. Build cube trains to add up to 10 – words.
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S.03. Match addition sentences up to 10 to the correct model.
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S.04. Interpret what a model shows for addition sentences up to 10.
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S.05. Write addition sentences for pictures – sums up to 10.
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S.06. Translate real-world scenarios into addition problems.
T. Addition up to 10
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T.01. Add with cubes – sums up to 10.
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T.02. Build cube trains to add up to 10 – addition sentences.
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T.03. Add with pictures – sums up to 10.
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T.04. Write addition sentences – sums up to 10.
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T.05. Add doubles with models – sums up to 10.
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T.06. Add doubles – sums up to 10.
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T.07. Make a number using addition – sums up to 10.
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T.08. Add two numbers – sums up to 10.
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T.09. Determine if addition sentences with sums up to 10 are true or false.
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T.10. Complete the addition sentence – sums up to 10.
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T.11. Complete the addition sentence to make 10.
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T.12. Turn words into addition sentences – sums up to 10.
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T.13. Solve addition word problems – sums up to 10.
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T.14. Apply different strategies to solve addition problems.
U. Take Apart Numbers up to 10
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U.01. Take apart numbers using cubes – sums up to 10.
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U.02. Make a number different ways using cubes – sums up to 10.
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U.03. Take apart numbers up to 10 – addition sentences.
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U.04. Identify all the possible ways to decompose a number up to 10.
V. Addition up to 20
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V.01. Add with pictures – sums up to 20.
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V.02. Add doubles using models – sums up to 20.
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V.03. Use ten frames to add.
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V.04. Apply addition strategies to solve problems involving sums up to 20.
W. Subtraction up to 5
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W.01. Subtract with pictures – numbers up to 5.
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W.02. Write subtraction sentences – numbers up to 5.
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W.03. Subtract – numbers up to 5.
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W.04. Complete the subtraction sentence – numbers up to 5.
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W.05. Solve subtraction word problems – numbers up to 5.
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W.06. Model subtraction problems with manipulatives and drawings.
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W.07. Explain the relationship between subtraction and taking away.
X. Subtraction up to 10
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X.01. Subtract with pictures – numbers up to 10.
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X.02. Write subtraction sentences – numbers up to 10.
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X.03. Subtract doubles – numbers up to 10.
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X.04. Relate addition and subtraction sentences – numbers up to 10.
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X.05. Use addition to subtract – numbers up to 10.
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X.06. Make a number using subtraction – numbers up to 10.
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X.07. Subtract – numbers up to 10.
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X.08. Determine if subtraction sentences with numbers up to 10 are true or false.
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X.09. Complete the subtraction sentence – numbers up to 10.
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X.10. Turn words into subtraction sentences – numbers up to 10.
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X.11. Solve subtraction word problems – numbers up to 10.
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X.12. Explain the inverse relationship between addition and subtraction.
Y. Time
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Y.01. Match analogue clocks and times.
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Y.02. Match digital clocks and times.
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Y.03. Match analogue and digital clocks.
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Y.04. Read clocks and write times.
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Y.05. Differentiate between A.M. and P.M.
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Y.06. Relate times to everyday events.
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Y.07. Recognize the four seasons.
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Y.08. Name the days of the week.
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Y.09. Name the months of the year.
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Y.10. Read a calendar.
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Y.11. Sequence daily activities in the correct order.
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Y.12. Understand and explain the passing of time using appropriate vocabulary (e.g., before, after, during).
Z. Data and Graphs
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Z.01. Identify the correct picture graph for a given data set.
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Z.02. Interpret information from picture graphs.
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Z.03. Create picture graphs to represent simple data sets.
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Z.04. Answer questions based on data displayed in a picture graph.
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Z.05. Compare and contrast different categories of data presented in a picture graph.
AA. Probability
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AA.01. Identify events as more or less likely to occur.
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AA.02. Describe the likelihood of an event using appropriate vocabulary (e.g., certain, impossible, likely, unlikely).
BB. Money
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BB.01. Identify coin values (e.g., 1c, 5c, 10c, 20c, 50c, $1, $2).
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BB.02. Count money – 10c coins.
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BB.03. Count money – 10c and 20c coins.
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BB.04. Identify equivalent groups of coins.
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BB.05. Understand exchanging groups of coins.
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BB.06. Understand exchanging coins.
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BB.07. Compare two groups of coins to determine which has a greater value.
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BB.08. Solve simple word problems involving money.
CC. Two-Dimensional Shapes
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CC.01. Name the two-dimensional shape (circle, triangle, square, rectangle, hexagon).
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CC.02. Identify circles.
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CC.03. Identify triangles.
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CC.04. Identify squares and rectangles.
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CC.05. Identify hexagons.
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CC.06. Select two-dimensional shapes from a group of shapes.
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CC.07. Count sides and corners of two-dimensional shapes.
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CC.08. Compare sides and corners of two-dimensional shapes.
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CC.09. Sort two-dimensional shapes based on their attributes.
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CC.10. Compose simple two-dimensional shapes using smaller shapes.
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CC.11. Understand the concept of symmetry.
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CC.12. Identify pictures with symmetry.
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CC.13. Perform flips, turns and slides with two-dimensional shapes.
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CC.14. Create symmetrical shapes and patterns.
DD. Three-Dimensional Shapes
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DD.01. Differentiate between two-dimensional and three-dimensional shapes.
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DD.02. Name the three-dimensional shape (sphere, cube, cone, cylinder).
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DD.03. Identify spheres.
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DD.04. Identify cubes.
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DD.05. Identify cones.
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DD.06. Identify cylinders.
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DD.07. Select three-dimensional shapes from a group of shapes.
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DD.08. Identify shapes traced from solids.
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DD.09. Identify three-dimensional shapes in the real world I.
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DD.10. Identify three-dimensional shapes in the real world II.
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DD.11. Compare and contrast the properties of different three-dimensional shapes (e.g., faces, edges, vertices).
EE. Fractions
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EE.01. Identify equal parts – halves and fourths.
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EE.02. Identify halves and fourths in shapes and objects.
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EE.03. Make halves and fourths by dividing shapes and objects.
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EE.04. Make halves and fourths in different ways.
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EE.05. Explain that equal parts of the same whole may look different depending on how the whole is divided.
