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Grade 6 Mathematics Diagnostic

NC EOG-Aligned Readiness Assessment

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Type
lesson
Grade Level
Grade 6
Duration
67 minutes
Questions
31

Description

A 31-item diagnostic for the summer program screening all five Grade 6 NCSCOS math domains. Item counts mirror the NC End-of-Grade weight distribution (Ratios & Proportional Relationships ~26%, Expressions & Equations ~24%, The Number System ~22%, Geometry ~14%, Statistics & Probability ~14%) to predict EOG performance and identify gaps. Multiple-choice and matching only; distractors target common errors.

Learning Objectives

  • Use ratios, unit rates, and percents to solve real-world problems.

  • Divide fractions, compute with decimals, and find common factors and multiples.

  • Reason about rational numbers, absolute value, and the coordinate plane.

  • Write, evaluate, and generate equivalent algebraic and numerical expressions.

  • Solve one-step equations and reason about one-variable inequalities.

  • Find area, surface area, and volume and work with polygons on the coordinate plane.

  • Summarize data using measures of center, spread, and data displays.

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This diagnostic screens all five Grade 6 math domains. It follows the NC End-of-Grade emphasis, so ratio and rate reasoning and algebraic expressions appear most often. Read each question carefully and use scratch paper.

Ratio table (flour to cookies).

| Cups of flour | Cookies | |---|---| | 2 | 24 | | 3 | 36 | | 5 | ? |

Two points on a coordinate plane
Triangle with base and height
Net of a rectangular prism
Rectangle on a coordinate plane
Favorite fruit bar graph

Assessment Questions

31 questions
1

A fruit bowl has 8 apples and 12 oranges. What is the ratio of apples to oranges in simplest form?

Multiple Choice
2

A car travels 150 miles on 5 gallons of gas. What is the unit rate?

Multiple Choice
3

Use the ratio table shown. How many cookies can be made with 5 cups of flour?

Multiple Choice
4

Which is the better buy?

Multiple Choice
5

What is 25% of 80?

Multiple Choice
+ 26 more questions

Standards Alignment

NC.6.RP.1
Understand the concept of a ratio and use ratio language to describe a relationship between quantities.
NC.6.RP.2
Understand unit rates associated with a ratio.
NC.6.RP.3
Use ratio reasoning with tables, unit rates, and the coordinate plane to solve problems.
NC.6.RP.4
Use ratio reasoning to solve percent problems, including finding the whole from a part.
NC.6.NS.1
Interpret and compute quotients of fractions and solve word problems involving division of fractions.
NC.6.NS.3
Fluently add, subtract, multiply, and divide multi-digit decimals using standard algorithms.
NC.6.NS.4
Find greatest common factor and least common multiple; use the distributive property.
NC.6.NS.6
Understand rational numbers as points on the number line and ordered pairs on the coordinate plane.
NC.6.NS.7
Understand ordering and absolute value of rational numbers.
NC.6.NS.8
Solve problems by graphing points in all four quadrants; find distances using coordinates.
NC.6.EE.1
Write and evaluate numerical expressions involving whole-number exponents.
NC.6.EE.2
Write, read, and evaluate algebraic expressions.
NC.6.EE.3
Apply properties of operations to generate equivalent expressions.
NC.6.EE.4
Identify when two expressions are equivalent.
NC.6.EE.7
Solve real-world and mathematical problems by writing and solving one-step equations.
NC.6.EE.8
Write, graph, and interpret inequalities of the form x > c or x < c.
NC.6.G.1
Find areas of triangles and special quadrilaterals by composing and decomposing.
NC.6.G.2
Find volume of right rectangular prisms with fractional edge lengths.
NC.6.G.3
Draw polygons in the coordinate plane and find side lengths.
NC.6.G.4
Use nets to find the surface area of prisms and pyramids.
NC.6.SP.3
Understand measures of center (mean, median) and variability for a data set.
NC.6.SP.5
Summarize numerical data sets, including range and measures of center.

Resource Details

Subject
Mathematics
Language
EN-US
Author
Kris Edwards
License
CC-BY-4.0
PRISM ID
nc-math-grade6-diagnostic

Usage

34
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0
Imports

Keywords

NC EOG diagnostic grade 6 ratios percent expressions equations statistics

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