INDIA MATH UPPER KINDERGARTEN

A. Recognizing Same and Different

A.01. Identify objects that are the same.
A.02. Identify objects that are different.
A.03. Discriminate between same and different objects.
A.04. Categorize objects based on similarities and differences.
A.05. Explain why objects are the same or different.

B. Understanding Positions

C. Exploring Measurement

D. Identifying and Extending Patterns

D.01. Recognize and identify color patterns.
D.02. Recognize and identify size patterns.
D.03. Recognize and identify shape patterns.
D.04. Predict the next shape in a simple pattern.
D.05. Complete a given pattern.
D.06. Recognize growing patterns.
D.07. Predict the next shape in a growing pattern.
D.08. Identify the next row in a growing pattern.
D.09. Create own patterns using colours, shapes and sizes

E. Understanding Shapes

E.01. Distinguish between two-dimensional and three-dimensional shapes.
E.02. Identify and name circles.
E.03. Identify and name triangles.
E.04. Identify and name squares and rectangles.
E.05. Identify and name hexagons.
E.06. Select specific two-dimensional shapes from a group.
E.07. Count the sides and corners of two-dimensional shapes.
E.08. Compare the sides and corners of different two-dimensional shapes.
E.09. Recognize basic symmetry in pictures.
E.10. Identify pictures that exhibit symmetry.
E.11. Identify and name spheres.
E.12. Identify and name cubes.
E.13. Identify and name cones.
E.14. Identify and name cylinders.
E.15. Select specific three-dimensional shapes from a group.
E.16. Identify shapes traced from solid objects.
E.17. Relate three-dimensional shapes to everyday objects.
E.18. Compare and contrast 2D and 3D shapes in the environment.

F. Introduction to Probability

G. Counting to 3

H. Counting to 5

H.01. Learn to count to 5.
H.02. Count objects up to 5.
H.03. Count objects to 5 using stickers.
H.04. Count objects to 5 on ten frames.
H.05. Show numbers up to 5 on ten frames.
H.06. Represent numbers up to 5 using objects or drawings.
H.07. Identify one more than a given number up to 5.
H.08. Count to find one more than a number up to 5.
H.09. Identify one less than a given number up to 5.
H.10. Count to find one less than a number up to 5.

I. Comparing Quantities

I.01. Determine if there are enough objects in a set.
I.02. Compare two groups of objects using “fewer” and “more” by matching.
I.03. Compare two groups of objects using “fewer” and “more” by counting.
I.04. Compare two groups of objects in a mixed arrangement using “fewer” and “more”.
I.05. Understand the concepts of “fewer”, “more”, and “same”.
I.06. Compare two numbers up to 10.
I.07. Compare three numbers up to 10.
I.08. Explain the relationships between quantities using comparative language.

J. Counting to 10

J.01. Learn to count to 10.
J.02. Count objects up to 10.
J.03. Count objects to 10 using stickers.
J.04. Count objects to 10 on ten frames.
J.05. Show numbers up to 10 on ten frames.
J.06. Represent numbers up to 10 using objects or drawings.
J.07. Identify one more than a given number up to 10.
J.08. Count to find one more than a number up to 10.
J.09. Identify one less than a given number up to 10.
J.10. Count to find one less than a number up to 10.
J.11. Determine one more and one less than a given number up to 10.
J.12. Count to find one more and one less than a number up to 10.
J.13. Count up and down to find the next number up to 10.
J.14. Count to fill a ten frame.
J.15. Recognize and use tally marks up to 10.
J.16. Use number lines to represent numbers up to 10.
J.17. Identify the numbers before, after, and between given numbers up to 10.
J.18. Count forward and backward within the range of 1 to 10.
J.19. Recognize and name numbers up to 10.
J.20. Complete a simple number sequence up to 10.
J.21. Explore different ways of representing numbers (fingers, objects)

K. Addition within 5

L. Subtraction within 5

M. Counting to 20

M.01. Count objects up to 20.
M.02. Count objects to 20 on ten frames.
M.03. Show numbers up to 20 on ten frames.
M.04. Represent numbers up to 20 using objects or drawings.
M.05. Count up and down to find the next number up to 20.
M.06. Recognize and use tally marks up to 20.
M.07. Use number lines to represent numbers up to 20.
M.08. Identify the numbers before, after, and between given numbers up to 20.
M.09. Count forward and backward within the range of 1 to 20.
M.10. Recognize and name numbers up to 20.
M.11. Complete a simple number sequence up to 20.
M.12. Count tens and ones within the number 20.
M.13. Learn to skip-count by twos.
M.14. Skip-count by twos.
M.15. Skip-count by twos on ten frames.
M.16. Investigate grouping and sharing objects into equal groups.

N. Addition within 10

N.01. Add numbers using pictures with sums up to 10.
N.02. Understand and complete addition sentences with sums up to 10.
N.03. Make a number using addition with sums up to 10.
N.04. Add two numbers with sums up to 10.
N.05. Complete addition sentences with sums up to 10.
N.06. Complete addition sentences to make 10.
N.07. Write addition sentences for given scenarios.
N.08. Solve simple addition word problems with sums up to 10.
N.09. Use different manipulatives (e.g., counters, beads) to represent addition

O. Subtraction within 10

O.01. Subtract numbers using pictures with numbers up to 10.
O.02. Understand and complete subtraction sentences with numbers up to 10.
O.03. Make a number using subtraction with numbers up to 10.
O.04. Subtract numbers up to 10.
O.05. Complete subtraction sentences with numbers up to 10.
O.06. Write subtraction sentences for given scenarios.
O.07. Solve simple subtraction word problems with numbers up to 10.
O.08. Apply the relationship between addition and subtraction to solve problems

P. Sorting and Classifying

P.01. Identify objects that are the same
P.02. Identify objects that are different
P.03. Discriminate between same and different objects.
P.04. Classify shapes by colour.
P.05. Classify and sort objects by colour.
P.06. Classify and sort objects by shape.
P.07. Classify and sort objects based on different attributes.
P.08. Sort shapes into a Venn diagram.
P.09. Count shapes in a Venn diagram.
P.10. Put numbers up to 10 in order.
P.11. Put numbers up to 20 in order.
P.12. Explain reasoning behind sorting decisions.

Course Content

A. Recognizing Same and Different

A.01. Identify objects that are the same.

A.02. Identify objects that are different.

A.03. Discriminate between same and different objects.

A.04. Categorize objects based on similarities and differences.

A.05. Explain why objects are the same or different.

B. Understanding Positions

B.01. Identify the position of an object as inside or outside.

B.02. Describe the position of an object as above or below another.

B.03. Identify objects that are beside or next to each other.

B.04. Determine the left, middle, and right positions.

B.05. Identify the top, middle, and bottom positions.

B.06. Describe the location of an object in a simple grid.

B.07. Relate positional words to real-world scenarios.

C. Exploring Measurement

C.01. Distinguish between long and short objects.

C.02. Distinguish between tall and short objects.

C.03. Differentiate between wide and narrow objects.

C.04. Compare objects based on whether they are light or heavy.

C.05. Use comparative language to describe the relative size and weight of objects.

D. Identifying and Extending Patterns

D.01. Recognize and identify color patterns.

D.02. Recognize and identify size patterns.

D.03. Recognize and identify shape patterns.

D.04. Predict the next shape in a simple pattern.

D.05. Complete a given pattern.

D.06. Recognize growing patterns.

D.07. Predict the next shape in a growing pattern.

D.08. Identify the next row in a growing pattern.

D.09. Create own patterns using colours, shapes and sizes

E. Understanding Shapes

E.01. Distinguish between two-dimensional and three-dimensional shapes.

E.02. Identify and name circles.

E.03. Identify and name triangles.

E.04. Identify and name squares and rectangles.

E.05. Identify and name hexagons.

E.06. Select specific two-dimensional shapes from a group.

E.07. Count the sides and corners of two-dimensional shapes.

E.08. Compare the sides and corners of different two-dimensional shapes.

E.09. Recognize basic symmetry in pictures.

E.10. Identify pictures that exhibit symmetry.

E.11. Identify and name spheres.

E.12. Identify and name cubes.

E.13. Identify and name cones.

E.14. Identify and name cylinders.

E.15. Select specific three-dimensional shapes from a group.

E.16. Identify shapes traced from solid objects.

E.17. Relate three-dimensional shapes to everyday objects.

E.18. Compare and contrast 2D and 3D shapes in the environment.

F. Introduction to Probability

F.01. Understand the concepts of “more likely” and “less likely”.

F.02. Determine if an event is more or less likely to occur based on simple scenarios.

F.03. Explain why an event is more or less likely.

G. Counting to 3

G.01. Learn to count to 3.

G.02. Count objects up to 3.

G.03. Count objects to 3 using stickers.

G.04. Count objects to 3 on ten frames.

G.05. Show numbers up to 3 on ten frames.

G.06. Represent numbers up to 3 using objects or drawings.

H. Counting to 5

H.01. Learn to count to 5.

H.02. Count objects up to 5.

H.03. Count objects to 5 using stickers.

H.04. Count objects to 5 on ten frames.

H.05. Show numbers up to 5 on ten frames.

H.06. Represent numbers up to 5 using objects or drawings.

H.07. Identify one more than a given number up to 5.

H.08. Count to find one more than a number up to 5.

H.09. Identify one less than a given number up to 5.

H.10. Count to find one less than a number up to 5.

I. Comparing Quantities

I.01. Determine if there are enough objects in a set.

I.02. Compare two groups of objects using “fewer” and “more” by matching.

I.03. Compare two groups of objects using “fewer” and “more” by counting.

I.04. Compare two groups of objects in a mixed arrangement using “fewer” and “more”.

I.05. Understand the concepts of “fewer”, “more”, and “same”.

I.06. Compare two numbers up to 10.

I.07. Compare three numbers up to 10.