Packing food for the hāngī
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Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about working out how much food is needed for a hāngī.
Ariana needs to make sure there is enough food for a hāngī.
Task administration:
This task can be completed with pencil and paper or online (with auto marking displayed to students).
Copyright:
Image copyright: Einalem, CC-BY-2.0 (Wikpedia)
Level:
3
Curriculum info:
Keywords:
Description of task:
Students calculate multiplication problems.
Curriculum Links:
This resource can help to identify students' understanding of applying multiplicative strategies to solve whole number problems.
Learning Progression Frameworks
This resource can provide evidence of learning associated with within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.Answers/responses:
Y6 (04/2016) | ||
i)
ii)
iii)
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kumara: 312 pieces
pork: 156 pieces
pumpkin: 234 pieces
All three correct
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moderate
easy
moderate
moderate
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Teaching and learning:
This resource is looking at multiplication problems that involve single digit multipliers with two-digit numbers that result in answers (products) in the hundreds. Students can use halving and doubling, and other partitioning strategies to solve the problems.
Diagnostic and formative information:
Common error | Next steps | |
a) examples
i) 314, 318 or 302
ii) 154 or 176
iii) 254 or 134
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Calculation errors that involve a small error, but the answer is very close to the correct solution, and is easily identified for self-correction.
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Students who have made small errors could re-check their own work, or work with a buddy to share how they solved the questions and their results. This could be followed by using a calculator to check their work. They can then solve similar problems using different numbers, e.g., Packing cherries or Multiplication wheel. Check that students are familiar with their multiplication basic facts, e.g., knowing 4 × 8 = 32 and 4 × 7 = 28 makes 4 × 78 more accessible.
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a) examples
i) 288 or 330
ii) 68 or 97
iii) 286 or 225
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Calculation errors that are not close to the region of the correct answer. |
Students who cannot work out an answer in the region of the correct answer, may need to explore multiplication problems with smaller numbers, e.g., School garden, Rock wall or Gardening at home; ensuring that their basic facts are visually available to support their calculations can help their accuracy. They could also answer some resources that facilitate the use of simple multiplication strategies, such as doubling and halving: Using doubling and halving and Using doubling and halving II.
Students could also explore a number of simple multiplicative estimation questions, e.g., Estimate: 6 × 32 (180 or 200). Note that estimation multiplication with two 2-digit factors can get quite complex (Curriculum Level 4 or 5).
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Students who correctly answered all these questions could explore similar multiplicative resources with bigger numbers, e.g., Saving money, How many biscuits? or explore multiplication alongside division (and quotitive division, How many are there?).
- School swimming sports
- Buying books
- Counting sheep
- Cans of fruit drink
- Packing cherries
- Rock wall
- Calculating with time
- Lemonade and muffins
- Writing word problems
- Estimate these II
- Cleaning windows
- Town hall concert
- The price of flour
- Estimating cards, money and pinecones
- Halving and doubling
- Using doubling and halving
- Using doubling and halving II
- Powerful twenty five
- Māra kai
- How many are there?
- Community garden
- Saving money
- Buying a phone
- Anahera's sweets