KAP Grade 3 Operations and Algebraic Thinking Practice

What the test measures

Operations and Algebraic Thinking skills

Interpret products of whole numbers
Interpret whole-number quotients
Use properties of operations as strategies to multiply and divide
Understand division as an unknown-factor problem
Solve two-step word problems using the four operations
Identify and explain patterns in arithmetic

Standards basis

Kansas College and Career Ready Standards for Mathematics (CCRS-M), closely aligned to Common Core State Standards for Mathematics (CCSS-M) — Kansas

How the KAP reports it

Kansas Assessment Program appears to be a state assessment program rather than a vendor framework like Smarter Balanced or PARCC. The public KAP site did not expose a math blueprint or reporting-category document in the pages I could access, so the safest official mapping is to the state's adopted mathematics standards structure that the assessment is built to.

Blueprint & weighting

KAP uses the Independent / state-specific framework (by grade domains structure).

Official sources

Kansas Assessment Program
KAP — About Our Tests (2017 Kansas Mathematics Standards; domains & clusters; reporting categories)
KSDE — Kansas Standards for Mathematics (KCCRS-M standards documents)

Practice by skill

Topics mapped to this domain

Properties of operations

Grade 316 questions

Try it now

8 free questions · 0/0 correct

Practice playeasy

Which property is $\color{red}{4\times}\color{blue}{(3+2)}\color{black}{\,=\,}\color{red}{4\times}\color{blue}{3+}\color{red}{4\times}\color{blue}{2}$ ?

$\color{red}{4\times}\color{blue}{(3+2)}\color{black}{\,=\,}\color{red}{4\times}\color{blue}{3+}\color{red}{4\times}\color{blue}{2}$ shows multiplying across a sum does not change the answer, so the expressions are equal in value. This is the distributive property.

Practice playeasy

Which property is $7 + 0 = 7$ ?

$7 + 0 = 7$ shows adding $0$ does not change the answer, so the expressions are equal in value. This is the identity property.

Practice playeasy

Which property is $3 + (6 + 2) = (3 + 6) + 2$ ?

$3 + (6 + 2) = (3 + 6) + 2$ shows the grouping of the addition does not change the answer, so the expressions are equal in value. This is the associative property.

Practice playeasy

Which property says $6 \times 4 = 4 \times 6$ ?

$6 \times 4 = 4 \times 6$ shows the order of the multiplication does not change the answer, so the expressions are equal in value. This is the commutative property.

Practice playeasy

Which property is $\color{red}{2\times}\color{blue}{(3+5)}\color{black}{\,=\,}\color{red}{2\times}\color{blue}{3+}\color{red}{2\times}\color{blue}{5}$ ?

$\color{red}{2\times}\color{blue}{(3+5)}\color{black}{\,=\,}\color{red}{2\times}\color{blue}{3+}\color{red}{2\times}\color{blue}{5}$ shows multiplying across a sum does not change the answer, so the expressions are equal in value. This is the distributive property.

Practice playeasy

Which property is $6 \times 1 = 6$ ?

$6 \times 1 = 6$ shows multiplying by $1$ does not change the answer, so the expressions are equal in value. This is the identity property.

Practice playeasy

Which property is $(2 \times 3) \times 4 = 2 \times (3 \times 4)$ ?

$(2 \times 3) \times 4 = 2 \times (3 \times 4)$ shows the grouping of the multiplication does not change the answer, so the expressions are equal in value. This is the associative property.