Search the California Content Standards

Cluster:
Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

Standard:
Fluently add and subtract within 5.

Cluster:
Reason with shapes and their attributes.

Standard:
Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size); build and draw shapes to possess defining attributes.

Cluster:
Reason with shapes and their attributes.

Standard:
Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape.

Footnote:
Students do not need to learn formal names such as “right rectangular prism.”

Cluster:
Reason with shapes and their attributes.

Standard:
Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.

Cluster:
Represent and solve problems involving addition and subtraction.

Standard:
Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.

Footnote:
See Glossary, Table 1.

Cluster:
Represent and solve problems involving addition and subtraction.

Standard:
Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.

Cluster:
Understand and apply properties of operations and the relationship between addition and subtraction.

Standard:
Apply properties of operations as strategies to add and subtract. Examples: If 8 + 3 = 11 is known, then 3 + 8 = 11 is also known. (Commutative property of addition.) To add 2 + 6 + 4, the second two numbers can be added to make a ten, so 2 + 6 + 4 = 2 + 10 = 12. (Associative property of addition.)

Footnote:
Students need not use formal terms for these properties.

Cluster:
Understand and apply properties of operations and the relationship between addition and subtraction.

Standard:
Understand subtraction as an unknown-addend problem. For example, subtract 10 – 8 by finding the number that makes 10 when added to 8.

Cluster:
Add and subtract within 20.

Standard:
Relate counting to addition and subtraction (e.g., by counting on 2 to add 2).

Cluster:
Add and subtract within 20.

Standard:
Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13).