Nevada SBAC Grade 8 Concepts and Procedures Practice

Nevada SBAC Grade 8 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 8 clusters listed as targets below, with a much greater proportion from clusters the blueprint designates as priority (major) clusters. This Grade 8 reporting domain maps to 27 practice skills and 8 representative questions from the playable bank.

Grade 8Claim 127 mapped skills

Concepts and Procedures skills

Target A: Know that there are numbers that are not rational, and approximate them by rational numbers

Target B: Work with radicals and integer exponents

Target C: Understand the connections between proportional relationships, lines, and linear equations

Target D: Analyze and solve linear equations and pairs of simultaneous linear equations

Target E: Define, evaluate, and compare functions

Target F: Use functions to model relationships between quantities

Target G: Understand congruence and similarity using physical models, transparencies, or geometry software

Target H: Understand and apply the Pythagorean theorem

Target I: Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres

Target J: Investigate patterns of association in bivariate data

Standards basis

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

How the Nevada SBAC reports it

Nevada administers the consortium Smarter Balanced mathematics summative assessment in grades 3-8 (Nevada Department of Education, Office of Assessments); grade 11 students take the ACT as Nevada's college and career readiness assessment, so the state has no high-school Smarter Balanced administration. The test uses the consortium's shared structure: Claim 1 (Concepts and Procedures) publishes per-grade assessment targets that are verbatim CCSS-M cluster headings; 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 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

Nevada Department of Education — Grades 3-8: Smarter Balanced Assessments
Nevada Department of Education — Office of Assessments (grade 11: ACT)
Smarter Balanced Mathematics Content Specifications (July 2015)

8 free questions · 0/0 correct

Practice playeasy

A cylinder has radius $2$ and height $4$ . Using $\pi = 3$ , what is its volume?

$V = \pi r^2 h = 3 \times 4 \times 4 = 48$ .

Practice playeasy

What is the $y$ -intercept of the graph of $y = 15x + 4$ in the coordinate plane?

In $y = mx + b$ , the $y$ -intercept is the point $(0, b)$ . Here $b = 4$ , so the $y$ -intercept is $(0, 4)\textsf{.}$

Practice playeasy

Between which two consecutive integers does $\sqrt{40}$ lie?

$6^{2} = 36$ and $7^{2} = 49\textsf{.}$ Since $36 < 40 < 49\textsf{,}$ $\sqrt{40}$ is between $6$ and $7\textsf{.}$

Practice playeasy

What is the slope of the line $y = x - 7$ ?

In $y = mx + b$ , the slope is $m = 1$ .

Practice playeasy

Which system of equations has no solution?

Both equations have slope $6$ but different $y$ -intercepts ( $1$ and $-4$ ), so the lines are parallel and the system has no solution.

Practice playeasy

In $\triangle JKL\textsf{,}$ $\angle J$ and $\angle L$ are congruent. The measure of each of these angles is $61.6^{\circ}\textsf{.}$ What is the measure of $\angle K\textsf{?}$

The two congruent angles total $2 \times 61.6^{\circ} = 123.2^{\circ}\textsf{,}$ so $\angle K = 180^{\circ} - 123.2^{\circ} = 56.8^{\circ}\textsf{.}$

Practice playeasy

$\begin{cases} x + 3y = 4 \\ 2x + 6y = 8 \end{cases}$

How many solutions does the given system of equations have?

Rewrite in slope-intercept form: $y = -\dfrac{1}{3}x + \dfrac{4}{3}$ and $y = -\dfrac{1}{3}x + \dfrac{4}{3}$ . The slopes and $y$ -intercepts match, so the equations describe the same line and the system has infinitely many solutions.

Practice playhard

The rule $r(x) = -4x + d$ describes a linear function, and $d$ is a constant. If $r(3) = 5$ , what is $r(-2)\textsf{?}$

Substitute $x = 3$ : $-4(3) + d = 5$ , so $-12 + d = 5$ and $d = 17$ . The rule is $r(x) = -4x + 17$ , so $r(-2) = -4(-2) + 17 = 8 + 17 = 25$ .

Nevada SBAC Grade 8 Concepts and Procedures. Practice it free.

Concepts and Procedures skills

Target A: Know that there are numbers that are not rational, and approximate them by rational numbers

Target B: Work with radicals and integer exponents

Target C: Understand the connections between proportional relationships, lines, and linear equations

Target D: Analyze and solve linear equations and pairs of simultaneous linear equations

Target E: Define, evaluate, and compare functions

Target F: Use functions to model relationships between quantities

Target G: Understand congruence and similarity using physical models, transparencies, or geometry software

Target H: Understand and apply the Pythagorean theorem

Target I: Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres

Target J: Investigate patterns of association in bivariate data

Topics mapped to this domain

Volume of prisms and cylinders

Y-intercept as a point

Irrational number approximations

Graphing linear equations

Inconsistent linear systems (ACT/SAT/PSAT 8/9/10)

Isosceles triangle angles

Linear Algebra Basics: Systems

Linear functions with an unknown constant

Modeling linear situations (ACT/SAT/PSAT 8/9/10)

Multi-step linear equations

Polygon angle formulas

Scatterplots and trend lines

8 free questions · 0/0 correct

Turn concepts and procedures into game time.