UK MATH KINDERGARTEN

A. Count to 3

A.01. Identify and name numerals from 1 to 3.
A.02. Learn the concept of counting as assigning one number to one object.
A.03. Choose the numeral that matches the number you hear (up to 3).
A.04. Count a group of objects (up to 3).
A.05. Count dots arranged in various patterns (up to 3).
A.06. Count different shapes within a group (up to 3).
A.07. Represent numbers using stickers on a worksheet (up to 3).
A.08. Use ten frames to represent numbers (up to 3).
A.09. Show different arrangements of a specific number on ten frames (up to 3).
A.10. Relate a set of objects to its corresponding numeral and written word (up to 3).
A.11. Connect counting activities to everyday situations and contexts.

B. Count to 5

B.05. Count dots arranged in various patterns (up to 5).
B.06. Count different shapes within a group (up to 5).
B.07. Represent numbers using stickers on a worksheet (up to 5).
B.08. Count a stack of interlocking cubes (up to 5).
B.09. Show different arrangements of a specific number using cubes (up to 5).
B.10. Use ten frames to represent numbers (up to 5).
B.11. Show different arrangements of a specific number on ten frames (up to 5).
B.12. Relate a set of objects to its corresponding numeral and written word (up to 5).
B.13. Identify ‘one more’ than a number using picture prompts (up to 5).
B.14. Identify ‘one more’ than a given number (up to 5).
B.15. Identify ‘one less’ than a number using picture prompts (up to 5).
B.16. Identify ‘one less’ than a given number (up to 5).
B.17. Determine the subsequent number in a sequence (up to 5).
B.18. Understand and use ordinal numbers to indicate position (up to fifth).
B.19. Investigate real-life scenarios where counting to 5 is applicable.
B.01. Identify and name numerals from 1 to 5.
B.02. Learn the concept of cardinality: the last number counted tells the total.
B.03. Choose the numeral that matches the number you hear (up to 5).
B.04. Count a group of objects (up to 5).

C. Comparing

C.01. Understand the meaning of ‘are there enough?’ by matching objects.
C.02. Identify which group has ‘more’ objects through direct comparison.
C.03. Identify which group has ‘fewer’ objects through direct comparison.
C.04. Compare groups and determine which has ‘fewer’ or ‘more’ by counting.
C.05. Compare quantities within a mixed group of objects.
C.06. Identify the larger numeral from a pair (up to 5).
C.07. Identify the smaller numeral from a pair (up to 5).
C.08. Compare the values of two numbers (up to 10).
C.09. Arrange a set of numbers in ascending order (up to 10).
C.10. Arrange a set of numbers in ascending order (up to 20).
C.11. Apply comparison skills to solve real-world problems.

D. Positions

D.01. Differentiate between objects that are ‘inside’ and ‘outside’ a container.
D.02. Differentiate between objects that are at the ‘top’ and ‘bottom’.
D.03. Identify objects located at the ‘top’, ‘middle’, and ‘bottom’.
D.04. Understand and use the terms ‘above’ and ‘below’ to describe relative position.
D.05. Understand and use the terms ‘left’ and ‘right’ to describe relative position.
D.06. Identify objects located to the ‘left’, ‘middle’, and ‘right’.
D.07. Understand and use the terms ‘beside’ and ‘next to’ to describe proximity.
D.08. Relate positional language to movement and direction.

E. Classify

F. Size

F.01. Differentiate between objects that are ‘long’ and ‘short’.
F.02. Differentiate between objects that are ‘tall’ and ‘short’.
F.03. Differentiate between objects that are ‘wide’ and ‘narrow’.
F.04. Differentiate between objects that are ‘light’ and ‘heavy’.
F.05. Determine which container ‘holds more’ or ‘less’.
F.06. Compare objects based on their size, weight, and capacity.
F.07. Measure objects using non-standard units.
F.08. Measure the length of objects using interlocking cubes.
F.09. Build cube trains to compare and measure the length of different objects.
F.10. Measure the height of objects using interlocking cubes.
F.11. Build cube trains to compare and measure the height of different objects.
F.12. Apply measurement skills to solve practical problems.

G. Count to 10

G.01. Identify and name numerals from 1 to 10.
G.02. Learn the one-to-one correspondence between objects and numbers.
G.03. Choose the numeral that matches the number you hear (up to 10).
G.04. Count a group of objects (up to 10).
G.05. Count dots arranged in various patterns (up to 10).
G.06. Count different shapes within a group (up to 10).
G.07. Represent numbers using stickers on a worksheet (up to 10).
G.08. Count a stack of interlocking cubes (up to 10).
G.09. Show different arrangements of a specific number using cubes (up to 10).
G.10. Use ten frames to represent numbers (up to 10).
G.11. Show different arrangements of a specific number on ten frames (up to 10).
G.12. Use tally marks to represent numbers (up to 10).
G.13. Relate a set of objects to its corresponding numeral and written word (up to 10).
G.14. Identify ‘one more’ than a number using picture prompts (up to 10).
G.15. Identify ‘one more’ than a given number (up to 10).
G.16. Identify ‘one less’ than a number using picture prompts (up to 10).
G.17. Identify ‘one less’ than a given number (up to 10).
G.18. Determine ‘one more and one less’ than a given number (up to 10).
G.19. Determine the subsequent number in a sequence (up to 10).
G.20. Count up in sequence from a given number (up to 10).
G.21. Count both up and down in sequence (up to 10).
G.22. Count forward in sequence (up to 10).
G.23. Count forward and backward in sequence (up to 10).
G.24. Count objects to completely fill a ten frame.
G.25. Learn to count in steps of 2.
G.26. Count in steps of 2.
G.27. Understand and use ordinal numbers to indicate position (up to tenth).
G.28. Apply number sequencing skills to solve puzzles and games.

H. Count to 20

H.01. Identify and name numerals from 1 to 20.
H.02. Count a group of objects (up to 20).
H.03. Count dots arranged in various patterns (up to 20).
H.04. Count dots (0 to 20).
H.05. Count different shapes within a group (up to 20).
H.06. Use ten frames to represent numbers (up to 20).
H.07. Show different arrangements of a specific number on ten frames (up to 20).
H.08. Relate a set of objects to its corresponding numeral and written word (up to 20).
H.09. Use tally marks to represent numbers (up to 20).
H.10. Count up in sequence from a given number (up to 20).
H.11. Count both up and down in sequence (up to 20).
H.12. Count forward in sequence (up to 20).
H.13. Count forward and backward in sequence (up to 20).
H.14. Recognize the patterns and structure within the number system up to 20.

I. Addition up to 5

I.01. Combine sets of interlocking cubes to represent addition (sums up to 5).
I.02. Decompose numbers up to 5 into smaller parts using descriptive language.
I.03. Use cubes to model and solve addition problems (sums up to 5).
I.04. Use pictures to model and solve addition problems (sums up to 5).
I.05. Select the addition sentence that accurately represents a given model (sums up to 5).
I.06. Interpret what an addition model represents in terms of an addition sentence (sums up to 5).
I.07. Write addition sentences to represent how numbers up to 5 can be broken down.
I.08. Add two single-digit numbers together (sums up to 5).
I.09. Determine combinations of numbers that sum to a specific value (up to 5).
I.10. Fill in the missing number in an addition sentence (sums up to 5).
I.11. Solve simple addition word problems using pictures as aids (sums up to 5).
I.12. Create and illustrate original addition word problems.

J. Subtraction up to 5

J.01. Remove cubes from a set to represent subtraction (numbers up to 5).
J.02. Use cubes to model and solve subtraction problems (numbers up to 5).
J.03. Use pictures to model and solve subtraction problems (numbers up to 5).
J.04. Write subtraction sentences to represent taking away (numbers up to 5).
J.05. Subtract one number from another (numbers up to 5).
J.06. Determine what number to subtract to reach a specific value (numbers up to 5).
J.07. Fill in the missing number in a subtraction sentence (numbers up to 5).
J.08. Solve simple subtraction word problems using pictures as aids (numbers up to 5).
J.09. Apply subtraction skills to share and distribute items equally.

K. Addition up to 10

K.01. Combine sets of interlocking cubes to represent addition (sums up to 10).
K.02. Decompose numbers up to 10 into smaller parts using descriptive language.
K.03. Use cubes to model and solve addition problems (sums up to 10).
K.04. Use pictures to model and solve addition problems (sums up to 10).
K.05. Select the addition sentence that accurately represents a given model (sums up to 10).
K.06. Interpret what an addition model represents in terms of an addition sentence (sums up to 10).
K.07. Write addition sentences to represent how numbers up to 10 can be broken down.
K.08. Add two single-digit numbers together (sums up to 10).
K.09. Determine combinations of numbers that sum to a specific value (up to 10).
K.10. Fill in the missing number in an addition sentence (sums up to 10).
K.11. Add doubles using models such as ten frames or cubes (sums up to 10).
K.12. Recall and use known doubles facts (sums up to 10).
K.13. Solve simple addition word problems using pictures as aids (sums up to 10).
K.14. Use addition strategies such as counting on or using number bonds.

L. Subtraction up to 10

L.01. Remove cubes from a set to represent subtraction (numbers up to 10).
L.02. Use cubes to model and solve subtraction problems (numbers up to 10).
L.03. Use pictures to model and solve subtraction problems (numbers up to 10).
L.04. Write subtraction sentences to represent taking away (numbers up to 10).
L.05. Subtract one number from another (numbers up to 10).
L.06. Determine what number to subtract to reach a specific value (numbers up to 10).
L.07. Fill in the missing number in a subtraction sentence (numbers up to 10).
L.08. Solve simple subtraction word problems using pictures as aids (numbers up to 10).
L.09. Connect subtraction to real-world scenarios such as sharing and taking away items.

M. Flat shapes

M.01. Recognize and name common flat shapes.
M.02. Identify and describe circles.
M.03. Identify and describe squares.
M.04. Identify and describe triangles.
M.05. Identify and describe rectangles.
M.06. Differentiate between circles, squares, triangles, and rectangles.
M.07. Identify shapes that have curved parts.
M.08. Count the number of sides on various shapes.
M.09. Count the number of corners (vertices) on various shapes.
M.10. Combine two-dimensional shapes to create new shapes.
M.11. Explore how flat shapes are used in art, design, and architecture.

N. Solid shapes

N.01. Distinguish between flat (2D) and solid (3D) shapes.
N.02. Recognize and name common solid shapes.
N.03. Identify and describe spheres.
N.04. Identify and describe cubes.
N.05. Identify and describe cuboids.
N.06. Identify and describe cones.
N.07. Identify and describe cylinders.
N.08. Select specific solid shapes from a group.
N.09. Investigate real-world objects that resemble different solid shapes.

Course Content

A. Count to 3

A.01. Identify and name numerals from 1 to 3.

A.02. Learn the concept of counting as assigning one number to one object.

A.03. Choose the numeral that matches the number you hear (up to 3).

A.04. Count a group of objects (up to 3).

A.05. Count dots arranged in various patterns (up to 3).

A.06. Count different shapes within a group (up to 3).

A.07. Represent numbers using stickers on a worksheet (up to 3).

A.08. Use ten frames to represent numbers (up to 3).

A.09. Show different arrangements of a specific number on ten frames (up to 3).

A.10. Relate a set of objects to its corresponding numeral and written word (up to 3).

A.11. Connect counting activities to everyday situations and contexts.

B. Count to 5

B.05. Count dots arranged in various patterns (up to 5).

B.06. Count different shapes within a group (up to 5).

B.07. Represent numbers using stickers on a worksheet (up to 5).

B.08. Count a stack of interlocking cubes (up to 5).

B.09. Show different arrangements of a specific number using cubes (up to 5).

B.10. Use ten frames to represent numbers (up to 5).

B.11. Show different arrangements of a specific number on ten frames (up to 5).

B.12. Relate a set of objects to its corresponding numeral and written word (up to 5).

B.13. Identify ‘one more’ than a number using picture prompts (up to 5).

B.14. Identify ‘one more’ than a given number (up to 5).

B.15. Identify ‘one less’ than a number using picture prompts (up to 5).

B.16. Identify ‘one less’ than a given number (up to 5).

B.17. Determine the subsequent number in a sequence (up to 5).

B.18. Understand and use ordinal numbers to indicate position (up to fifth).

B.19. Investigate real-life scenarios where counting to 5 is applicable.

B.01. Identify and name numerals from 1 to 5.

B.02. Learn the concept of cardinality: the last number counted tells the total.

B.03. Choose the numeral that matches the number you hear (up to 5).

B.04. Count a group of objects (up to 5).

C. Comparing

C.01. Understand the meaning of ‘are there enough?’ by matching objects.

C.02. Identify which group has ‘more’ objects through direct comparison.

C.03. Identify which group has ‘fewer’ objects through direct comparison.

C.04. Compare groups and determine which has ‘fewer’ or ‘more’ by counting.

C.05. Compare quantities within a mixed group of objects.

C.06. Identify the larger numeral from a pair (up to 5).

C.07. Identify the smaller numeral from a pair (up to 5).

C.08. Compare the values of two numbers (up to 10).

C.09. Arrange a set of numbers in ascending order (up to 10).

C.10. Arrange a set of numbers in ascending order (up to 20).

C.11. Apply comparison skills to solve real-world problems.

D. Positions

D.01. Differentiate between objects that are ‘inside’ and ‘outside’ a container.

D.02. Differentiate between objects that are at the ‘top’ and ‘bottom’.

D.03. Identify objects located at the ‘top’, ‘middle’, and ‘bottom’.

D.04. Understand and use the terms ‘above’ and ‘below’ to describe relative position.

D.05. Understand and use the terms ‘left’ and ‘right’ to describe relative position.

D.06. Identify objects located to the ‘left’, ‘middle’, and ‘right’.

D.07. Understand and use the terms ‘beside’ and ‘next to’ to describe proximity.

D.08. Relate positional language to movement and direction.

E. Classify

E.01. Identify objects that are ‘different’ from a group.

E.02. Identify objects that are ‘the same’ within a group.

E.03. Distinguish between objects that are ‘the same’ and ‘different’.

E.04. Classify shapes according to their colours.

E.05. Sort and classify objects based on their colours.

E.06. Sort and classify objects based on their shapes.

E.07. Justify classifications based on observed attributes and rules.

F. Size

F.01. Differentiate between objects that are ‘long’ and ‘short’.

F.02. Differentiate between objects that are ‘tall’ and ‘short’.

F.03. Differentiate between objects that are ‘wide’ and ‘narrow’.

F.04. Differentiate between objects that are ‘light’ and ‘heavy’.

F.05. Determine which container ‘holds more’ or ‘less’.

F.06. Compare objects based on their size, weight, and capacity.

F.07. Measure objects using non-standard units.

F.08. Measure the length of objects using interlocking cubes.

F.09. Build cube trains to compare and measure the length of different objects.

F.10. Measure the height of objects using interlocking cubes.

F.11. Build cube trains to compare and measure the height of different objects.

F.12. Apply measurement skills to solve practical problems.

G. Count to 10

G.01. Identify and name numerals from 1 to 10.

G.02. Learn the one-to-one correspondence between objects and numbers.

G.03. Choose the numeral that matches the number you hear (up to 10).

G.04. Count a group of objects (up to 10).