OwlSheets
Chess Club: Rating Calculation Strategies worksheet preview

WorksheetPremium

Chess Club: Rating Calculation Strategies

Practice properties of operations with rational numbers through chess tournament calculations and custom club rating adjustments.

Grade 7MathInteractive · Printable

Aligned to7.NS.A.2.c

Buy this worksheet: $1.50

Or unlock every Premium worksheet with Premium

PrintUnlock to print
Answer keyUnlock to see answers
Assign to classUnlock to assign with a class code

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 simplify rational number products.
  • Students use the distributive property to combine or separate rational number calculations.
  • Students simplify rational number quotients using reciprocals and common nonzero factors.

How to use

Use after teaching rational number operations. Ask students to show a helpful rewrite beside each calculation, then discuss the final error analysis.

Curriculum

Common Core standard covered

7.NS.A.2.c

Use properties of operations as strategies to multiply and divide rational numbers.

Preview

OwlSheets.com

Name Date

Chess Club: Rating Calculation Strategies

Use operation properties to simplify tournament calculations.

Rating Tools

This tournament uses custom club ratings, not official chess ratings. Use operation properties to simplify each calculation.

1.
For each late arrival, a player's rating changes by the base adjustment multiplied by the event multiplier. Mateo arrives late for all 9 rounds. Group the two decimal factors first.
Late-Arrival Rating Rule
Base adjustmentEvent multiplierLate arrivals
−0.82.59

What is Mateo's total signed rating change?   rating points

2.
A rating worksheet contains (−0.6 × 17) + (0.6 × 7). Which expression factors out 0.6 correctly?
  • A. −0.6 × (17 + 7)
  • B. 0.6 × (17 + 7)
  • C. 0.6 × (−17 + 7)
  • D. 0.6 × (−17 − 7)
3.
A rating calculator uses a factor and its multiplicative inverse to undo a scaling step. Write the missing factor as a fraction.

(−3/8) ×   = 1

The preview shows the first questions. Unlock the worksheet to see all of it.

Related worksheets