Five pages on writing and finding the value of numerical expressions. Page 1 shows that parentheses group numbers, then finds the value of six expressions in two steps, writing the step in parentheses first (12 − 4) × 6 = 8 × 6 = 48, and compares the same numbers grouped two ways. Page 2 sets out the order of operations, finds the value of expressions with no parentheses (including 18 ÷ 3 × 2 and 30 − 10 + 5, worked from left to right), and numbers the operations 1, 2, 3 in the order they are done. Page 3 names parentheses, brackets, and braces and works expressions such as 3 × [10 − (2 + 5)] one step at a time, then expressions with braces. Page 4 turns words into expressions and expressions into words (add 8 and 7, then multiply by 2 is 2 × (8 + 7)), writes two stories as expressions, sees that 3 × (18,932 + 921) is 3 times as large as 18,932 + 921 without working it out, and finds the value of expressions when n = 6. Page 5 marks equations with parentheses True or False, adds one pair of parentheses to make each equation true, and answers a riddle in a code.
Write 4 + 2 × 5 on the board and ask for its value. When the class gets two answers, 30 and 14, show how parentheses settle it: (4 + 2) × 5 and 4 + (2 × 5). Before page 3, have students circle the innermost group in each expression first. The compare items on page 4 make a good class talk: ask how they know without adding.
Turn shopping into expressions: 3 packs of 6 juice boxes and 4 more is 3 × 6 + 4. Ask your child to write it, find the value, and say what would change with parentheses around 6 + 4.
This pack supports the following Common Core State Standards for Mathematics:
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A 5-page order of operations pack for 5th grade. Work inside parentheses first, multiply and divide before you add and subtract, and number the operations 1, 2, 3 in the order you do them. Work brackets and braces from the inside out, write expressions from words and words from expressions, write a story as an expression, and compare expressions without working them out. Mark equations with parentheses True or False, add parentheses to make equations true, and solve a riddle. Every page comes in color and in black and white. Answer keys included.
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