Kansas Academic Standards
KS.3.OA. Operations and Algebraic Thinking
Understand properties of multiplication and the relationship between multiplication and division.
3.OA.5. Apply properties of operations as strategies to multiply and divide. Examples: If 6⋅4=24 is known, then 4⋅6=24 is also known. (Commutative property of multiplication.) 3⋅5⋅2 can be found by 3⋅5=15, then 15⋅2=30, or by 5⋅2=10, then 3⋅10=30. (Associative property of multiplication.) Knowing that 8⋅5=40 and 8⋅2=16, one can find 8⋅7 as 8⋅(5+2)=(8⋅5)+(8⋅2)=40+16=56. (Distributive property.) Students need not use formal terms for these properties.
Multiply and divide within 100 (basic facts up to 10 x 10).
3.OA.7. Fluently (efficiently, accurately, and flexibly) multiply and divide with single digit multiplications and related divisions using strategies (e.g. relationship between multiplication and division, doubles, double and double again, half and then double, etc.) or properties of operations.
KS.3.NBT. Number and Operations in Base Ten
Use place value understanding and properties of operations to perform multi-digit arithmetic.
3.NBT.2. Fluently (efficiently, accurately, & flexibly) add and subtract within 1000 using strategies (e.g. composing/decomposing by like base-10 units, using friendly or benchmark numbers, using related equations, compensation, number line, etc.) and algorithms (including, but not limited to: traditional, partial-sums, etc.) based on place value, properties of operations, and/or the relationship between addition and subtraction.