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Grade 8 Mathematics Diagnostic

NC EOG-Aligned Readiness Assessment

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Type
lesson
Grade Level
Grade 8
Duration
65 minutes
Questions
32

Description

A 32-item diagnostic for the summer program screening all four Grade 8 NCSCOS math reporting areas. Item counts mirror the NC End-of-Grade weight distribution (Functions ~31%, Geometry ~25%, combined Number System & Expressions/Equations ~25%, Statistics & Probability ~19%) to predict EOG performance and identify gaps. Multiple-choice and matching only; distractors target common errors.

Learning Objectives

  • Work with irrational numbers, exponents, roots, scientific notation, and linear equations and systems.

  • Define, compare, and model linear functions, interpreting rate of change and initial value.

  • Apply transformations, similarity, angle relationships, the Pythagorean Theorem, and volume formulas.

  • Construct and interpret scatter plots, linear models, and two-way tables.

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This diagnostic screens all four reporting areas for Grade 8 math. Item counts follow the NC End-of-Grade weighting, so functions and geometry carry the most items, followed by the combined number-system-and-equations area and statistics. Read each question carefully and use scratch paper.

Graph of y = 2x minus 3

Function table.

| x | y | |---|---| | 0 | 1 | | 1 | 4 | | 2 | 7 | | 3 | 10 |

Scatter plot with positive association
Translation of a triangle
Right triangle with legs 6 and 8 cm
Parallel lines cut by a transversal
Cylinder with radius 3 cm and height 10 cm

Two-way frequency table: students and sports.

| | Likes sports | Does not | Total | |---|---|---|---| | Boys | 18 | 6 | 24 | | Girls | 12 | 14 | 26 | | Total | 30 | 20 | 50 |

Assessment Questions

32 questions
1

Which of these numbers is irrational?

Multiple Choice
2

Between which two whole numbers does the square root of 50 lie?

Multiple Choice
3

Which expression is equivalent to $3^{2}$ multiplied by $3^{4}$?

Multiple Choice
4

What is the positive solution of $x^{2} = 49$?

Multiple Choice
5

Express 0.00045 in scientific notation.

Multiple Choice
+ 27 more questions

Standards Alignment

NC.8.NS.1
Know that an irrational number is a non-repeating, non-terminating decimal; understand decimal expansions.
NC.8.NS.2
Use rational approximations of irrational numbers to compare and locate them on a number line.
NC.8.EE.1
Develop and apply the properties of integer exponents to generate equivalent expressions.
NC.8.EE.2
Use square root and cube root symbols to represent and evaluate solutions to x^2 = p and x^3 = p.
NC.8.EE.3
Use scientific notation to estimate and express very large or very small quantities.
NC.8.EE.7
Solve real-world and mathematical problems by writing and solving one-variable linear equations and inequalities.
NC.8.EE.8
Analyze and solve systems of two linear equations, relating solutions to the intersection of their graphs.
NC.8.F.1
Understand that a function assigns to each input exactly one output.
NC.8.F.2
Compare properties of two linear functions represented in different ways.
NC.8.F.3
Identify linear functions from tables, equations, and graphs.
NC.8.F.4
Model linear relationships with y = mx + b; determine and interpret rate of change and initial value.
NC.8.F.5
Qualitatively analyze a functional relationship, including where it is increasing, decreasing, linear, or nonlinear.
NC.8.G.3
Describe the effect of dilations, translations, rotations, and reflections on figures using coordinates.
NC.8.G.4
Use dilations and similarity; understand similar figures and scale factor.
NC.8.G.5
Use informal arguments about triangle angle sums, exterior angles, parallel lines cut by a transversal, and the angle-angle criterion.
NC.8.G.7
Apply the Pythagorean Theorem and its converse to solve real-world and mathematical problems.
NC.8.G.9
Use the formulas for the volumes of cylinders, cones, and spheres to solve problems.
NC.8.SP.1
Construct and interpret scatter plots, describing patterns of association between two quantities.
NC.8.SP.2
Informally fit a straight line (line of best fit) to a scatter plot suggesting a linear association.
NC.8.SP.3
Use the equation of a linear model to solve problems, interpreting the slope and y-intercept.
NC.8.SP.4
Display and interpret bivariate categorical data using two-way tables and relative frequencies.

Resource Details

Subject
Mathematics
Language
EN-US
Author
Kris Edwards
License
CC-BY-4.0
PRISM ID
nc-math-grade8-diagnostic

Usage

29
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0
Imports

Keywords

NC EOG diagnostic grade 8 functions linear equations Pythagorean theorem scientific notation scatter plots transformations

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