DeSSA Grade 7 Concepts and Procedures Practice

DeSSA 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) — Delaware

How the DeSSA reports it

DeSSA mathematics is Delaware's administration of the actual Smarter Balanced summative assessment (Delaware is a Smarter Balanced member state): per the Delaware DOE, the test provider for grades 3-8 is the Smarter Balanced consortium, administered each spring via the DeSSA portal. The math test is organized into four claims with published assessment targets (Smarter Balanced Mathematics Content Specifications). Claim 1 (Concepts and Procedures) publishes per-grade assessment targets, 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. Delaware administers the Smarter Balanced math summative in grades 3-8 only; the high-school accountability test is the School Day SAT (grade 11, since 2011), which sits outside the Smarter Balanced blueprint and is covered by the separate SAT coverage map, so this file carries no High School band. (DeSSA stands for Delaware System of Student Assessments, per the DOE's official DeSSA calendar.)

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 and 16-20 in grades 6-8; the Claim 2/4 and Claim 3 reporting categories are 8-10 items each, totaling 18-20 across the two.

Official sources

Delaware Department of Education – Delaware Mathematics Assessments (grades 3-8 test provider is the Smarter Balanced consortium; high school uses the School Day SAT)
Delaware System of Student Assessments (DeSSA): 2025-2026 Calendar (Delaware DOE)
Smarter Balanced – Delaware member page

8 free questions · 0/0 correct

Practice playeasy

A cylinder has $r^2 = 9$ and height $3$ . Using $\pi = 3$ , what is its volume?

$V = \pi r^2 h = 3 \times 9 \times 3 = 81$ .

Practice playeasy

What is $(-10) \times 6$ ?

Result: $-60$ .

Practice playeasy

In a random sample of 50, 15 were defective bulbs. Estimate how many of 400 are defective in the whole population.

Proportion $= \dfrac{15}{50}$ . Estimate $= \dfrac{15}{50} \times 400 = 120$ .

Practice playeasy

Similar triangles $STU$ and $VWX$ have areas $36$ and $9\textsf{.}$ Side $ST$ corresponds to side $VW\textsf{,}$ and $ST = 12\textsf{.}$ What is the length of $VW\textsf{?}$

The scale factor from $\triangle STU$ to $\triangle VWX$ satisfies $k^{2} = \dfrac{9}{36} = \dfrac{1}{4}\textsf{,}$ so $k = \dfrac{1}{2}\textsf{.}$ Then $VW = 12 \cdot \dfrac{1}{2} = 6\textsf{.}$

Practice playmedium

In a triangle, two sides each have length $10\textsf{.}$ Which inequality represents the possible lengths, $x\textsf{,}$ of the third side?

The triangle inequality requires $|10 - 10| < x < 10 + 10\textsf{.}$ Simplifying gives $0 < x < 20\textsf{.}$

Practice playmedium

A public library counted every book checked out on one busy Saturday. Exactly $\dfrac{1}{6}$ of the checkouts were fiction, exactly $\dfrac{1}{2}$ were nonfiction, $14$ checkouts were reference books, and $10$ checkouts were magazines. How many books were checked out that day?

Let $x$ be the total checkouts. Fiction and nonfiction account for $\dfrac{1}{6}x + \dfrac{1}{2}x = \dfrac{2}{3}x$ . Reference and magazines total $14 + 10 = 24$ , so $\dfrac{1}{3}x = 24$ and $x = 72$ .

Practice playeasy

A phone battery must be charged to at least $80.0\%$ before a software update can begin. The battery is currently at $76.4\%$ . What is the minimum increase needed in the battery charge, in percentage points, so that the update can begin?

The charge must reach at least $80.0\%$ . The minimum increase is $80.0 - 76.4 = 3.6\textsf{.}$

Practice playeasy

Solve for $x$ : $x - 1 = -8$ .

Isolate $x$ : $x = -7$ .

DeSSA 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.