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Solar Roof: Groups, Cycles, and Sums

Plan a school solar project using greatest common factors, least common multiples, and the distributive property to factor sums.

Grade 6MathInteractive · Printable

Aligned to6.NS.B.4

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
14 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 6
Subject: Math
Question types: Fill in the blank, Multiple choice, Short answer

About this worksheet

What students practice

Students find the greatest common factor of two whole numbers up to 100.
Students find the least common multiple of two whole numbers up to 12.
Students factor whole-number sums using the greatest common factor and the distributive property.

How to use

Use after introducing GCF and LCM. Have students show factor lists or multiples on separate paper and explain how the context determines which to use.

Curriculum

Common Core standard covered

6.NS.B.4

Find the greatest common factor of two whole numbers up to 100 and the least common multiple of two whole numbers up to 12, and factor a sum of whole numbers 1 to 100 with the distributive property.

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Solar Roof: Groups, Cycles, and Sums

Use factors, multiples, and the distributive property to plan a school solar project.

Organize Installation Supplies

Find greatest common factors to organize supplies for the school's rooftop solar project.

The project inventory includes 48 short rails and 72 long rails. Find the greatest common factor of 48 and 72.

GCF =

Two bins contain 35 cable clips and 64 bolts. What is the greatest common factor of 35 and 64?

A. 5
B. 7
C. 1
D. 4

Installers divide all the supplies shown into identical kits. Each kit must contain the same number of clamps and the same number of washers, with none left over.