
Course Content
A. Same and Different
-
A.01. Identify objects that are the same.
-
A.02. Identify objects that are different.
-
A.03. Discriminate between objects that are the same and different.
B. Sorting and Classifying
-
B.01. Recognize shapes by their color.
-
B.02. Classify shapes based on color.
-
B.03. Identify objects that are the same shape.
-
B.04. Classify and sort objects based on shape.
-
B.05. Classify and sort objects based on multiple attributes.
-
B.06. Classify, sort, and count objects.
-
B.07. Count shapes within a Venn diagram.
-
B.08. Sort shapes into a Venn diagram.
-
B.09. Create a Venn diagram to represent sorted objects.
C. Positions
-
C.01. Identify the position of objects as inside or outside.
-
C.02. Identify the position of objects as above or below.
-
C.03. Determine the position of solid figures as above or below.
-
C.04. Identify objects that are beside or next to each other.
-
C.05. Determine the position of solid figures as beside or next to.
-
C.06. Identify positions: left, middle, and right.
-
C.07. Identify positions: top, middle, and bottom.
-
C.08. Locate objects within a grid.
-
C.09. Use positional words to describe the location of objects.
D. Comparing
-
D.01. Compare groups of objects to identify fewer and more by matching.
-
D.02. Compare groups of objects to identify fewer and more by counting.
-
D.03. Compare groups of objects to identify fewer and more in a mixed group.
-
D.04. Differentiate between fewer, more, and the same quantities.
-
D.05. Determine if there are enough objects in one group compared to another.
-
D.06. Compare two numbers up to 10.
-
D.07. Compare three numbers up to 10.
-
D.08. Apply comparison skills to solve simple word problems.
E. Measurement
-
E.01. Differentiate between long and short objects.
-
E.02. Differentiate between tall and short objects.
-
E.03. Differentiate between wide and narrow objects.
-
E.04. Differentiate between light and heavy objects.
-
E.05. Determine if a container holds more or less than another.
-
E.06. Compare objects based on size, weight, and capacity.
-
E.07. Measure objects using non-standard units.
-
E.08. Measure length using cubes.
-
E.09. Build cube trains to measure length.
-
E.10. Measure height using cubes.
-
E.11. Build cube trains to measure height.
-
E.12. Estimate the length and height of objects.
F. Numbers and counting up to 3
-
F.01. Identify numbers up to 3.
-
F.02. Choose the number that you hear up to 3.
-
F.03. Learn to count to 3.
-
F.04. Count pictures up to 3.
-
F.05. Count shapes up to 3.
-
F.06. Count using stickers up to 3.
-
F.07. Count on ten frames up to 3.
-
F.08. Show numbers on ten frames up to 3.
-
F.09. Represent numbers with pictures up to 3.
-
F.10. Represent numbers with shapes up to 3.
-
F.11. Use ordinal numbers up to third to describe position.
G. Numbers and counting up to 5
-
G.01. Identify numbers up to 5.
-
G.02. Choose the number that you hear up to 5.
-
G.03. Learn to count to 5.
-
G.04. Count pictures up to 5.
-
G.05. Count shapes in rows up to 5.
-
G.06. Count scattered shapes up to 5.
-
G.07. Count using stickers up to 5.
-
G.08. Count cubes up to 5.
-
G.09. Count dots from 0 to 5.
-
G.10. Show numbers with cubes up to 5.
-
G.11. Count on ten frames up to 5.
-
G.12. Show numbers on ten frames up to 5.
-
G.13. Represent numbers with pictures up to 5.
-
G.14. Represent numbers with shapes up to 5.
-
G.15. Determine one more with pictures up to 5.
-
G.16. Determine one more on frames up to 5.
-
G.17. Determine one more up to 5.
-
G.18. Determine one less with pictures up to 5.
-
G.19. Determine one less on frames up to 5.
-
G.20. Determine one less up to 5.
-
G.21. Identify the number that comes next up to 5.
-
G.22. Use ordinal numbers up to fifth to describe position.
H. Numbers and counting up to 10
-
H.32. Count forward and backward up to 10.
-
H.33. Recognize names of numbers up to 10.
-
H.34. Complete a sequence up to 10.
-
H.35. Use ordinal numbers up to tenth to describe position.
-
H.01. Identify numbers up to 10.
-
H.02. Choose the number that you hear up to 10.
-
H.03. Learn to count to 10.
-
H.04. Count pictures up to 10.
-
H.05. Count dots up to 10.
-
H.06. Count shapes in rows up to 10.
-
H.07. Count scattered shapes up to 10.
-
H.08. Count shapes in rings up to 10.
-
H.09. Count using stickers up to 10.
-
H.10. Count cubes up to 10.
-
H.11. Show numbers with cubes up to 10.
-
H.12. Count on ten frames up to 10.
-
H.13. Show numbers on ten frames up to 10.
-
H.14. Represent numbers up to 10.
-
H.15. Determine one more with pictures up to 10.
-
H.16. Determine one more on frames up to 10.
-
H.17. Determine one more up to 10.
-
H.18. Determine one less with pictures up to 10.
-
H.19. Determine one less on frames up to 10.
-
H.20. Determine one less up to 10.
-
H.21. Identify one more and one less with pictures up to 10.
-
H.22. Identify one more and one less on frames up to 10.
-
H.23. Identify one more and one less up to 10.
-
H.24. Identify what number comes next up to 10.
-
H.25. Count up to find the next number up to 10.
-
H.26. Count up and down to find the next number up to 10.
-
H.27. Count to fill a ten frame.
-
H.28. Use tally marks up to 10.
-
H.29. Use number lines up to 10.
-
H.30. Determine before, after, and between numbers up to 10.
-
H.31. Count forward up to 10.
I. Numbers and counting up to 20
-
I.01. Identify numbers up to 20.
-
I.02. Count to 20.
-
I.03. Count dots from 0 to 20.
-
I.04. Count on ten frames up to 20.
-
I.05. Show numbers on ten frames up to 20.
-
I.06. Represent numbers up to 20.
-
I.07. Determine one more up to 20.
-
I.08. Determine one less up to 20.
-
I.09. Identify one more and one less up to 20.
-
I.10. Count up to find the next number up to 20.
-
I.11. Count up and down to find the next number up to 20.
-
I.12. Use tally marks up to 20.
-
I.13. Use number lines up to 20.
-
I.14. Determine before, after, and between numbers up to 20.
-
I.15. Count forward up to 20.
-
I.16. Count forward and backward up to 20.
-
I.17. Recognize names of numbers up to 20.
-
I.18. Complete a sequence up to 20.
-
I.19. Count tens and ones up to 20.
-
I.20. Group objects to count efficiently up to 20.
J. Numbers and counting beyond 20
-
J.01. Count on ten frames up to 30.
-
J.02. Count to 100.
-
J.03. Count on the hundred chart.
-
J.04. Count groups of ten.
-
J.05. Use number lines up to 30.
-
J.06. Count tens and ones up to 30.
-
J.07. Identify patterns on a hundred chart.
K. Skip-counting
-
K.01. Learn to skip-count by twos.
-
K.02. Skip-count by twos.
-
K.03. Learn to skip-count by fives.
-
K.04. Skip-count by fives.
-
K.05. Learn to skip-count by tens.
-
K.06. Skip-count by tens.
-
K.07. Learn to skip-count by twos, fives, and tens.
-
K.08. Skip-count by twos, fives, and tens.
-
K.09. Relate skip-counting to real-world scenarios.
L. Addition up to 5
-
L.01. Put together numbers using cubes – sums up to 5.
-
L.02. Take apart numbers using cubes – sums up to 5.
-
L.03. Make a number different ways using cubes – sums up to 5.
-
L.04. Add with cubes – sums up to 5.
-
L.05. Add with pictures – sums up to 5.
-
L.06. Match addition sentences up to 5 with their corresponding models.
-
L.07. Interpret addition sentences up to 5 and explain what the model shows.
-
L.08. Make a number using addition – sums up to 5.
-
L.09. Add two numbers – sums up to 5.
-
L.10. Complete addition sentences – sums up to 5.
-
L.11. Solve addition word problems with pictures – sums up to 5.
-
L.12. Build cube trains to solve addition word problems – sums up to 5.
-
L.13. Solve addition word problems – sums up to 5.
-
L.14. Create own addition word problems for sums up to 5.
M. Subtraction up to 5
-
M.01. Take away cubes – numbers up to 5.
-
M.02. Subtract with cubes – numbers up to 5.
-
M.03. Subtract with pictures – numbers up to 5.
-
M.04. Write subtraction sentences – numbers up to 5.
-
M.05. Subtract – numbers up to 5.
-
M.06. Make a number using subtraction – numbers up to 5.
-
M.07. Complete subtraction sentences – numbers up to 5.
-
M.08. Solve subtraction word problems with pictures – numbers up to 5.
-
M.09. Use cube trains to solve subtraction word problems – numbers up to 5.
-
M.10. Solve subtraction word problems – numbers up to 5.
-
M.11. Create own subtraction word problems for numbers up to 5.
N. Addition up to 10
-
N.01. Put together numbers using cubes – sums up to 10.
-
N.02. Take apart numbers using cubes – sums up to 10.
-
N.03. Make a number different ways using cubes – sums up to 10.
-
N.04. Add with cubes – sums up to 10.
-
N.05. Add with pictures – sums up to 10.
-
N.06. Match addition sentences up to 10 with their corresponding models.
-
N.07. Interpret addition sentences up to 10 and explain what the model shows.
-
N.08. Make a number using addition – sums up to 10.
-
N.09. Add two numbers – sums up to 10.
-
N.10. Complete addition sentences – sums up to 10.
-
N.11. Complete addition sentences to make 10.
-
N.12. Write addition sentences.
-
N.13. Solve addition word problems with pictures – sums up to 10.
-
N.14. Build cube trains to solve addition word problems – sums up to 10.
-
N.15. Solve addition word problems – sums up to 10.
-
N.16. Create own addition word problems for sums up to 10.
O. Subtraction up to 10
-
O.01. Take away cubes – numbers up to 10.
-
O.02. Subtract with cubes – numbers up to 10.
-
O.03. Subtract with pictures – numbers up to 10.
-
O.04. Write subtraction sentences – numbers up to 10.
-
O.05. Subtract – numbers up to 10.
-
O.06. Make a number using subtraction – numbers up to 10.
-
O.07. Complete subtraction sentences – numbers up to 10.
-
O.08. Write subtraction sentences.
-
O.09. Solve subtraction word problems with pictures – numbers up to 10.
-
O.10. Use cube trains to solve subtraction word problems – numbers up to 10.
-
O.11. Solve subtraction word problems – numbers up to 10.
-
O.12. Create own subtraction word problems for numbers up to 10.
P. Ordering
-
P.01. Put numbers up to 10 in order.
-
P.02. Put numbers up to 30 in order.
-
P.03. Identify the largest and smallest number in a set.
Q. Patterns
-
Q.01. Recognize color patterns.
-
Q.02. Recognize size patterns.
-
Q.03. Recognize shape patterns.
-
Q.04. Find the next shape in a pattern.
-
Q.05. Complete a pattern.
-
Q.06. Recognize growing patterns.
-
Q.07. Find the next shape in a growing pattern.
-
Q.08. Find the next row in a growing pattern.
-
Q.09. Create own patterns using shapes, sizes, and colors.
R. Two-dimensional shapes
-
R.01. Name the two-dimensional shape.
-
R.02. Identify circles.
-
R.03. Identify triangles.
-
R.04. Identify squares and rectangles.
-
R.05. Identify hexagons.
-
R.06. Select two-dimensional shapes.
-
R.07. Sort circles, triangles, squares, and rectangles.
-
R.08. Sort circles, triangles, squares, rectangles, and hexagons.
-
R.09. Count sides and corners.
-
R.10. Compare sides and corners.
-
R.11. Identify square corners.
-
R.12. Identify equal sides.
-
R.13. Introduction to symmetry.
-
R.14. Identify pictures with symmetry.
-
R.15. Compose two-dimensional shapes.
-
R.16. Create symmetrical shapes using various tools.
S. Three-dimensional shapes
-
S.02. Name the three-dimensional shape.
-
S.03. Identify spheres.
-
S.04. Identify cubes.
-
S.05. Identify cones.
-
S.06. Identify cylinders.
-
S.07. Select three-dimensional shapes.
-
S.08. Identify shapes traced from solids.
-
S.09. Recognize three-dimensional shapes in the real world I.
-
S.10. Recognize three-dimensional shapes in the real world II.
-
S.11. Compare and contrast properties of different 3D shapes.
-
S.01. Differentiate between two-dimensional and three-dimensional shapes.
T. Data and Graphs
-
T.01. Identify which picture graph is correct.
-
T.02. Interpret picture graphs.
-
T.03. Collect data and create a simple picture graph.
U. Fractions
-
U.01. Identify equal parts.
-
U.02. Identify halves, thirds, and quarters.
-
U.03. Divide objects into equal parts.
V. Time
-
V.01. Match analogue clocks and times.
-
V.02. Match digital clocks and times.
-
V.03. Match analogue and digital clocks.
-
V.04. Read clocks and write times.
-
V.05. Distinguish between A.M. and P.M.
-
V.06. Relate times to everyday events.
-
V.07. Name the days of the week.
-
V.08. Name the seasons.
-
V.09. Order events chronologically.
W. Probability
-
W.01. Determine if an event is more or less likely to occur.
-
W.02. Describe the likelihood of simple events.
X. Money
-
X.01. Recognize coin values.
-
X.02. Count money – 5c coins.
-
X.03. Count money – 5c and 10c coins.
-
X.04. Count money – 5c, 10c, and 20c coins.
-
X.05. Solve simple word problems involving money.
Y. Vocabulary
-
Y.01. Understand the meaning of sum and difference.
-
Y.02. Apply the terms sum and difference in mathematical contexts.