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Grade 7 Mathematics Diagnostic

NC EOG-Aligned Readiness Assessment

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Type

lesson

Grade Level

Grade 7

Duration

67 minutes

Questions

Description

A 32-item diagnostic for the summer program screening all five Grade 7 NCSCOS math domains. Item counts mirror the NC End-of-Grade weight distribution (Ratios & Proportional Relationships ~25%, Statistics & Probability ~25%, Expressions & Equations ~22%, Geometry ~19%, The Number System ~9%) to predict EOG performance and identify gaps. Multiple-choice and matching only; distractors target common errors.

Learning Objectives

Use unit rates, proportional relationships, and percents to solve real-world problems.
Add, subtract, multiply, and divide rational numbers to solve problems.
Generate equivalent linear expressions and solve multi-step equations and inequalities.
Solve problems involving scale, circles, angle relationships, area, and volume.
Draw inferences from samples and find probabilities of simple and compound events.

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This diagnostic screens all five Grade 7 math domains. Item counts follow the NC End-of-Grade weighting, so proportional reasoning, expressions and equations, and statistics and probability carry the most items. Read each question carefully and use scratch paper.

Proportional relationship: hours worked and pay.

| Hours (x) | Pay in dollars (y) | |---|---| | 2 | 30 | | 4 | 60 | | 6 | 90 | | 8 | ? |

Graph of a proportional relationship

Circle with radius 5 cm

Supplementary angles on a line

Box plot of quiz scores

Spinner with eight equal sections

Assessment Questions

32 questions

A runner jogs $\frac{1}{2}$ mile in $\frac{1}{4}$ hour at a steady pace. What is the unit rate in miles per hour?

Multiple Choice

Use the hours-and-pay table shown. What is the constant of proportionality (dollars per hour)?

Multiple Choice

Use the hours-and-pay table shown. How much is earned for 8 hours?

Multiple Choice

The graph shown passes through the origin and the point (1, 2). What is the unit rate?

Multiple Choice

A jacket costs $$\$$ 50$. With a 6% sales tax, what is the total cost?

Multiple Choice

+ 27 more questions

Standards Alignment

NC.7.RP.1

Compute unit rates associated with ratios of fractions to solve real-world problems.

NC.7.RP.2

Recognize and represent proportional relationships using tables, graphs, equations, and the constant of proportionality.

NC.7.RP.3

Use scale factors and unit rates in proportional relationships to solve ratio and percent problems.

NC.7.NS.1

Add and subtract rational numbers, describing real-world contexts using sums and differences.

NC.7.NS.2

Multiply and divide rational numbers using properties of operations.

NC.7.NS.3

Solve real-world problems involving the four operations with rational numbers.

NC.7.EE.1

Apply properties of operations to add, subtract, expand, and factor linear expressions with rational coefficients.

NC.7.EE.2

Understand how equivalent expressions reveal real-world relationships.

NC.7.EE.3

Solve multi-step real-world problems with positive and negative rational numbers in any form.

NC.7.EE.4

Use variables to write and fluently solve multi-step equations and inequalities, and graph inequality solutions.

NC.7.G.1

Solve problems involving scale drawings, using a scale factor to compute actual lengths and areas.

NC.7.G.4

Understand and apply the formulas for area and circumference of a circle.

NC.7.G.5

Use facts about supplementary, complementary, vertical, and adjacent angles to write and solve equations for unknown angles.

NC.7.G.6

Solve problems involving area, perimeter, surface area, and volume of two- and three-dimensional figures.

NC.7.SP.1

Understand that valid generalizations about a population require a representative, random sample.

NC.7.SP.2

Use sample data to draw inferences about a population, including estimating population characteristics.

NC.7.SP.3

Compare two populations informally using measures of center and variability.

NC.7.SP.5

Understand that the probability of a chance event is a number between 0 and 1.

NC.7.SP.6

Approximate the probability of a chance event using experimental (long-run relative) frequency.

NC.7.SP.7

Develop and use probability models to find probabilities of simple events.

NC.7.SP.8

Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.

Resource Details

Subject: Mathematics
Language: EN-US
Author: Kris Edwards
License: CC-BY-4.0
PRISM ID: nc-math-grade7-diagnostic

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Keywords

NC EOG diagnostic grade 7 proportional relationships percent rational numbers probability circles

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