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Chess Club: Rating Shortcuts

Use addition properties and subtraction strategies to combine rational numbers in a chess club's practice rating system.

Grade 7MathInteractive · Printable

Aligned to7.NS.A.1.d

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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 7
Subject: Math
Question types: Fill in the blank, Multiple choice, Circle the answer, Short answer

About this worksheet

What students practice

Students use commutative and associative properties to add rational numbers efficiently.
Students rewrite subtraction as addition of the opposite before regrouping.
Students use additive inverses and zero to simplify signed rating calculations.

How to use

Have students mark helpful pairs before calculating. Use the final error-analysis question to discuss why subtraction must be rewritten before regrouping.

Curriculum

Common Core standard covered

7.NS.A.1.d

Use properties of operations as strategies to add and subtract rational numbers.

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Chess Club: Rating Shortcuts

Use properties of operations to combine signed rating changes.

Choose a Shortcut

The chess club uses its own practice ratings, which can include fractions and decimals. Positive changes raise a rating; negative changes lower it. Look for useful pairs.

Nia's rating changes are 6.75 + (−4.5) + 3.25. Which equivalent expression groups the positive changes to make 10 first?