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Grade 5 · Math

1. COMPLETE A PATTERN TABLE — FOLLOW THE RULE Rule: Start at 5. Add 4 each time. Term number 1 2 3 4 5 6 Term value 5 9 17 25 5 +4 9 +4 +4 17 +4 +4 25

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Grade 5 · Math

2. IDENTIFY THE RULE — READ THE TABLE Term number 1 2 3 4 5 Term value 3 7 11 15 19 Starting term: Rule in words: 3 7 11 15 19

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Grade 5 · Math

3. GENERATE A PATTERN — USE A NEW RULE Rule: Start at 2. Multiply by 3 each time. 2 ×3 ×3 ×3 ×3

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Grade 5 · Math

4. GENERATE TWO PATTERNS — COMPARE THE RULES Pattern A: Start at 4. Add 3 each time. Pattern B: Start at 4. Add 5 each time. Term number 1 2 3 4 5 Pattern A (+ 3) 4 Pattern B (+ 5)

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Grade 5 · Math

5. COMPARE CORRESPONDING TERMS — NOTICE GROWTH Use your table from Question 4. Term number 1 2 3 4 5 Pattern A Pattern B Difference (B − A) a. Which pattern grows faster? b. At whi

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Grade 5 · Math

6. EXPLAIN WHAT STAYS THE SAME — DESCRIBE THE RELATIONSHIP Pattern A starts at 6 and adds 4 each time. Pattern B starts at 2 and adds 4 each time. What stays the same? What changes

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Grade 5 · Math

7. FIND AND FIX THE ERROR — CHECK EVERY STEP The rule is: Start at 7. Add 3 each time. A student wrote: 7, 10, 14, 17 Correct pattern: Explanation: 7 +3 10 +3 14 +3 17

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Grade 5 · Math

8. APPLY THE IDEA — TWO STICKER COLLECTIONS Mia starts with 3 stickers and adds 4 stickers each day. Leo starts with 8 stickers and adds 2 stickers each day. Complete the table for

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Grade 5 · Math

1. MATCH THE MEANING — CONNECT WORDS AND SYMBOLS Write the letter of the matching expression next to each phrase. a. the sum of 8 and 5, multiplied by 2 b. 24 divided by the differ

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Grade 5 · Math

2. REPRESENT WITH A MODEL — SHOW THE GROUPS Draw a tape diagram for: 3 × (9 + 2) Label the sum inside one group. Do not solve the expression. Group 1 9 2 Group 2 9 2 Group 3 9 2

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Grade 5 · Math

3. WRITE THE EXPRESSION — TURN WORDS INTO SYMBOLS Write one numerical expression for each sentence. Words a. Add 14 and 6, then divide by 5. b. Subtract 9 from 4 times 7. c. Multip

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Grade 5 · Math

4. INTERPRET WITHOUT EVALUATING — SAY WHAT IT MEANS Write a sentence that describes each expression. Do not find the value. 5 × (12 + 4) 40 − (6 × 3)

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Grade 5 · Math

5. MODEL TO SYMBOL — READ THE PICTURE A picture shows 4 equal groups. Each group contains 7 red tiles and 2 blue tiles. Write a numerical expression that matches the picture. Do no

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Grade 5 · Math

6. COMPARE MEANINGS — CHOOSE THE GROUPING Circle the expression that matches the sentence: "Two groups each have 7 notebooks and 3 folders." Group 1 7 3 Group 2 7 3 2 × (7 + 3) 2 ×

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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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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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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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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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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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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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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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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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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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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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