Finish a Two-Step Multiplication Story
Write the equal-group product, calculate the intermediate total, then apply the stated second change.
About 20 minutes, plus any extended practice
Supplied materials
- Paper and a pencil; drawing and spoken explanations are welcome. An adult may read directions and options aloud.
- Supplied worked-case record: Eight packets hold six cards each, then nine cards are removed.
- All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.
Learn the idea
A two-step problem may first create an equal-group total and then change that total. Label the product as the intermediate amount before the next operation. The story tells whether the second change adds, subtracts, or divides; do not assume every number should be multiplied.
Write the equal-group product, calculate the intermediate total, then apply the stated second change. Check the final answer by reversing the change and comparing with the product.
Label the product before the second operation. A removal in the story is subtraction, not another multiplication factor. Draw a product box followed by an arrow for the separate story change.
- Draw a product box followed by an arrow for the separate story change.
- Follow the worked example. Point to each number or shape feature and say what it tells you.
- Write the equal-group product, calculate the intermediate total, then apply the stated second change.
- Try the question and then the three practice questions. Check your answers and explain any change you make.
See the method in action
Eight packets hold six cards each, then nine cards are removed. The product is 8×6=48 cards; 48−9=39 remain. Adding back nine returns to forty-eight, checking the second step. Multiplying 8×6×9 would not represent removing nine cards. Label the product before the second operation. A removal in the story is subtraction, not another multiplication factor. Draw a product box followed by an arrow for the separate story change.
Check your reasoning
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Helpful tips
- Label the product before the second operation.
- A removal in the story is subtraction, not another multiplication factor.
See the answer and explanation
16
Find the group total before applying the removal. The result is 16.
Take it further
Six packs of eight gain eleven loose cards. Expected: 59 cards.
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More practice: try new cases
Choose an answer for each problem. Explain your method on paper, then use the feedback to decide what to revisit.
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Check the subject sources
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