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Topic 3 Mid-Topic Assessment - 8th Math

Authored by Carl Faigle

Mathematics

8th Grade

CCSS covered

Used 96+ times

Topic 3 Mid-Topic Assessment - 8th Math
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This quiz focuses on functions and linear relationships, fundamental concepts in 8th-grade algebra. Students must demonstrate their understanding of the relationship between functions and relations, recognizing that while every function is a relation, not every relation qualifies as a function. The core concept centers on the function definition requiring each input to correspond to exactly one output, with no repeated x-values. Students need to analyze arrow diagrams and data tables to determine whether given relations satisfy the function criteria. Additionally, they must calculate rates of change (slope) using rise over run, comparing fractional slopes like 1/4 and 3/4, and distinguish between linear and nonlinear functions by examining whether the rate of change remains constant throughout the relationship. Created by Carl Faigle, a Mathematics teacher in the US who teaches grade 8. This mid-topic assessment serves as an excellent formative evaluation tool to gauge student comprehension before moving to more advanced function concepts. Teachers can use this quiz during instruction to identify misconceptions about function notation and the vertical line test, or assign it as homework to reinforce classroom learning about slope calculations and linear versus nonlinear distinctions. The assessment works particularly well as a review activity before unit tests, helping students solidify their understanding of function identification techniques and rate of change computations. This quiz aligns with Common Core standards 8.F.A.1 (understanding functions as relationships between inputs and outputs) and 8.F.A.3 (interpreting linear functions and comparing their properties).

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8 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Every relation is a function.

True

False

Tags

CCSS.8.F.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A __________ is a special type of __________.

function / relation

relation / function

Tags

CCSS.8.F.A.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Coach Faigle's definition of a function says that there are no _____ repeats. This means that each input (x) corresponds to only one output (y).

x

y

Tags

CCSS.8.F.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Is the relation shown in the arrow diagram a function?

yes - each imput has only one output

yes - each output has only one input

no - each input has only one output

no - the input 1.2 has 2 outputs

Tags

CCSS.8.F.A.1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Function A has a rate of change (slope) of _____.

14\frac{1}{4}

34\frac{3}{4}

33

11

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Function B has a rate of change (slope) of _____.

14\frac{1}{4}

34\frac{3}{4}

33

11

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Is the relation shown in the table a function? Use the graph to justify your answer.

Yes, the relation is a function. The graph of the function is a straight line.

Yes, the relation is a function. The graph of the function is a curve.

No, the relation is not a function. The graph of the relation does not pass through the origin.

No, the relation is not a function. The graph of the relation is not a straight line.

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