SBAC Grade 7 Concepts and Procedures Practice

SBAC Grade 7 Concepts and Procedures. Practice it free.

Students can explain and apply mathematical concepts and interpret and carry out mathematical procedures with precision and fluency. Content is drawn from the Grade 7 clusters listed as targets below, with a much greater proportion from clusters the blueprint designates as priority (major) clusters. This Grade 7 reporting domain maps to 27 practice skills and 8 representative questions from the playable bank.

Grade 7Claim 127 mapped skills

Concepts and Procedures skills

Target A: Analyze proportional relationships and use them to solve real-world and mathematical problems

Target B: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers

Target C: Use properties of operations to generate equivalent expressions

Target D: Solve real-life and mathematical problems using numerical and algebraic expressions and equations

Target E: Draw, construct, and describe geometrical figures and describe the relationships between them

Target F: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume

Target G: Use random sampling to draw inferences about a population

Target H: Draw informal comparative inferences about two populations

Target I: Investigate chance processes and develop, use, and evaluate probability models

Standards basis

Common Core State Standards for Mathematics (CCSS-M) — national

How the SBAC reports it

Smarter Balanced math is organized into four claims with published assessment targets (Mathematics Content Specifications). Claim 1 (Concepts and Procedures) publishes per-grade assessment targets for grades 3-8 and high school, each a verbatim CCSS-M cluster heading (e.g. grade 3 Target A is cluster 3.OA.A); Claims 2-4 are cross-cutting process claims whose targets are constant across grades and draw on the same grade-level content. On score reports, Claims 2 and 4 are combined into a single reporting category, so three claim scores accompany the overall math score.

Blueprint & weighting

Content Specifications (Reporting Categories section): the total mathematics score is a weighted composite of the four claims — Claim 1 (Concepts and Procedures) contributes roughly 50%, Claim 3 (Communicating Reasoning) roughly 25%, and combined Claims 2 and 4 (Problem Solving / Modeling and Data Analysis) about 25%. The summative blueprint (as of 2018-19) publishes item counts per test event rather than percentages: Claim 1 is 17-20 items in grades 3-5, 16-20 in grades 6-8, and 19-22 in grade 11; the Claim 2/4 and Claim 3 reporting categories are 8-10 items each, totaling 18-20 across the two.

Official sources

Smarter Balanced Mathematics Content Specifications (July 2015)
Smarter Balanced Mathematics Summative Assessment Blueprint (as of 2018-19)
Smarter Content Explorer (per-target pages, e.g. Grade 3 Claim 1 Target A)

8 free questions · 0/0 correct

Practice playeasy

A rectangular prism has length $2$ , width $4$ , and height $9$ . What is its volume?

$V = 2 \times 4 \times 9 = 72$ .

Practice playeasy

Evaluate: $-12 + (-6)$ .

Add: $-12 + (-6) = -18$ .

Practice playeasy

In a random sample, 12 of 48 shoppers chose vanilla. What percent of all shoppers would you expect to choose vanilla?

$\dfrac{12}{48} = \dfrac{1}{4} = 25\%$ .

Practice playeasy

Rectangles $JKLM$ and $NPQR$ are similar. The perimeter of rectangle $JKLM$ is $18\textsf{,}$ and the perimeter of rectangle $NPQR$ is $45\textsf{.}$ Side $JK$ corresponds to side $NP\textsf{,}$ and $JK = 6\textsf{.}$ What is the length of $NP\textsf{?}$

The scale factor from rectangle $JKLM$ to rectangle $NPQR$ equals the perimeter ratio $\dfrac{45}{18} = \dfrac{5}{2}\textsf{.}$ So $NP = 6 \cdot \dfrac{5}{2} = 15\textsf{.}$

Practice playeasy

In a triangle, two sides each have length $8\textsf{.}$ Which inequality represents the possible lengths, $x\textsf{,}$ of the third side?

The triangle inequality requires $|8 - 8| < x < 8 + 8\textsf{.}$ Simplifying gives $0 < x < 16\textsf{.}$

Practice playmedium

A warehouse manager sorted a shipment of shirts into four color groups. Exactly $\dfrac{1}{5}$ of the shirts were red, exactly $\dfrac{1}{4}$ were white, $42$ shirts were green, and $24$ shirts were blue. How many shirts were in the shipment?

Let $x$ be the total number of shirts. Red and white shirts make $\dfrac{1}{5}x + \dfrac{1}{4}x = \dfrac{9}{20}x$ . Green and blue shirts total $42 + 24 = 66$ , so $\dfrac{11}{20}x = 66$ and $x = 120$ .

Practice playeasy

A band competition allows an instrument case's length, width, and height to total at most $62.0$ inches. A case measures $65.4$ inches in total. What is the minimum decrease needed in that total, in inches, so that the case meets the rule?

The total must be at most $62.0$ inches. The minimum decrease is $65.4 - 62.0 = 3.4\textsf{.}$

Practice playeasy

Solve for $k$ : $k + 3 = 5$ .

Isolate $k$ : $k = 2$ .

SBAC Grade 7 Concepts and Procedures. Practice it free.

Concepts and Procedures skills

Target A: Analyze proportional relationships and use them to solve real-world and mathematical problems

Target B: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers

Target C: Use properties of operations to generate equivalent expressions

Target D: Solve real-life and mathematical problems using numerical and algebraic expressions and equations

Target E: Draw, construct, and describe geometrical figures and describe the relationships between them

Target F: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume

Target G: Use random sampling to draw inferences about a population

Target H: Draw informal comparative inferences about two populations

Target I: Investigate chance processes and develop, use, and evaluate probability models

Topics mapped to this domain

Volume of prisms and cylinders

Integer operations

Sampling and inference

Effect of scale factor on similar figures

Triangle inequality

Fraction word problems — find total (ACT)

Interpreting at least and at most

Solving one- and two-step linear equations

Compound probability

One-event probability word problems

Probability basics

Probability from number sets

8 free questions · 0/0 correct

Turn concepts and procedures into game time.