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Practice problem

Grade 5 · Math

7. FIND AND FIX THE ERROR — READ THE PHRASE CAREFULLY The phrase is: "Subtract 5 from 3 times 8." A student wrote: 3 × (8 − 5) Write the correct expression and explain what "from"

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Practice problem

Grade 5 · Math

8. APPLY THE IDEA — PACK PENCILS A club buys 6 packs. Each pack has 8 blue pencils and 2 red pencils. Write a numerical expression for the total number of pencils. Do not evaluate

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Practice problem

Grade 5 · Math

1. IDENTIFY THE STRUCTURE — BUILD THE CONCEPT Circle every grouping symbol. Then draw an arrow to the part that should be solved first. a. 7 + (3 × 4) b. 24 ÷ [6 − 2] c. {18 − (5 +

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Practice problem

Grade 5 · Math

2. COMPLETE THE OPERATION PATH — FOLLOW THE MODEL Complete the first two boxes for: 6 + [12 ÷ (3 + 1)] First step: 3 + 1 = ➔ Next step: 12 ÷ = ➔ Then: 6 + = ➔ Final answer:

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Practice problem

Grade 5 · Math

3. EVALUATE PARENTHESES — SHOW THE RELATIONSHIP Evaluate each expression. Show the step inside the parentheses first. Inside first: Solve the expression inside parentheses before p

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Practice problem

Grade 5 · Math

4. EVALUATE NESTED GROUPING SYMBOLS — USE THE STRUCTURE Evaluate each expression. Write one line for each step. a. 2 × [5 + (9 − 6)] = b. {24 ÷ (2 + 4)} + 7 = c. 36 − [3 × (4 + 2)]

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Practice problem

Grade 5 · Math

5. DRAW THE MODEL — REPRESENT THE STEPS Draw an operation path, tape diagram, or area model for: 5 × [7 + (3 − 1)] Label the first operation and the second operation. First: ➔ Next

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Practice problem

Grade 5 · Math

6. COMPARE TWO EXPRESSIONS — NOTICE THE GROUPING Write >, <, or =. Then explain how the grouping changes the value. 4 × (6 + 2) 4 × 6 + 2 Explanation:

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Practice problem

Grade 5 · Math

7. FIND AND FIX THE ERROR — EXPLAIN THE STRATEGY A student wrote: 18 ÷ (3 + 3) = 18 ÷ 3 + 3 = 9 Circle the first incorrect step. Correct the work and explain why the grouping symbo

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Practice problem

Grade 5 · Math

8. APPLY THE IDEA — PACK CLASSROOM SUPPLIES Each of 4 tables gets 6 markers and 2 pencils. Then 8 extra markers are placed in a supply bin. Table 1 6 markers 2 pencils Table 2 6 ma

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Practice problem

Grade 5 · Math

1. READ A GRAPH — IDENTIFY A COORDINATE A graph shows Pattern A with the points (1, 3), (2, 6), (3, 9), (4, 12), and (5, 15). a. What is the y-coordinate when x = 4? b. What ordere

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Practice problem

Grade 5 · Math

2. COMPLETE THE ORDERED-PAIR TABLE — MATCH TERMS Pattern A: 3, 6, 9, 12, 15 Pattern B: 5, 7, 9, 11, 13 Complete this table. Term number (x) 1 2 3 4 5 Pattern A (y) 3 6 9 12 15 Orde

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Practice problem

Grade 5 · Math

3. PLOT THE PAIRS — TURN A TABLE INTO A GRAPH Plot the ordered pairs for Pattern A from Question 2 on the coordinate plane. Label the points A1, A2, A3, A4, and A5. x y 0 1 2 3 4 5

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Practice problem

Grade 5 · Math

4. GRAPH TWO PATTERNS — COMPARE TWO RULES Pattern A: Start at 4. Add 3 each time. Pattern B: Start at 2. Add 5 each time. a. Complete the first four terms of each pattern. b. Form

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Practice problem

Grade 5 · Math

5. COMPARE THE GRAPHS — USE EVIDENCE Use your graph from Question 4. a. Which pattern has the greater y-value at x = 1? b. Which pattern has the greater y-value at x = 4? c. At whi

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Practice problem

Grade 5 · Math

6. CHOOSE THE MATCHING GRAPH — CHECK THE POINTS Which graph matches the ordered pairs (1, 4), (2, 7), (3, 10), and (4, 13)? Circle A, B, or C. Explain how you checked. A x y 0 1 2

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Practice problem

Grade 5 · Math

7. FIND AND FIX THE ERROR — KEEP X AND Y IN ORDER The point should be (3, 10). Mia plotted (10, 3). a. Circle Mia's point on the mini-grid. b. Plot the correct point. c. Explain wh

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Practice problem

Grade 5 · Math

8. APPLY THE IDEA — PAGES READ OVER FIVE DAYS Two students record pages read. Student A: 4, 8, 12, 16, 20 Student B: 6, 9, 12, 15, 18 Use x = day and y = pages. a. Form five ordere

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Practice problem

Grade 5 · Math

1. A ruler shows 12 inches. Use this to find the number of inches in 5 feet. Show the multiplication. 5 ft = in. Multiplication:

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Practice problem

Grade 5 · Math

2. Draw four groups of 12 inches. Then complete the equation. 12 in 12 in 12 in 12 in 48 in = ft

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Practice problem

Grade 5 · Math

3. Two full yard bars and a half yard bar are shown. Each yard is split into 3 feet. Find the total number of feet. 1 yd 1 ft 1 ft 1 ft 1 yd 1 ft 1 ft 1 ft 1 / 2 yd 1 ft 1 ft 2 1 /

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Practice problem

Grade 5 · Math

4. Match each length on the left with an equivalent length on the right. (Do not draw lines.) 24 in 2 ft 6 ft 2 yd 5,280 ft 1 mi

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Practice problem

Grade 5 · Math

5. A tape diagram shows a length of 100 inches. Write this length in feet and inches. Draw 12-inch groups on the tape. 100 in 100 in = ft in.

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Practice problem

Grade 5 · Math

6. Two tapes show equal lengths. Compare the lengths using <, >, or =. Then show one common unit. 2 yd 5 ft 2 yd 5 ft In one common unit:

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