Packing food for the hāngī

Packing food for the hāngī

Auto-markingPencil and paperOnline interactive
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.
illustration: hangi
 
Ariana needs to make sure there is enough food for a hāngī.

Question 1Change answer

Each person will get:
  • 4 pieces of kumara
  • 2 pieces of pork
  • 3 pieces of pumpkin.
Write the total number of pieces of food that Ariana needs to feed 78 people.
  1. kumara (4 pieces each)    pieces 
  2. pork (2 pieces each)    pieces 
  3. pumpkin (3 pieces each)    pieces.
Task administration: 
This task can be completed with pencil and paper or online (with auto marking displayed to students).
Level:
3
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)
 
kumara: 312 pieces
pork: 156 pieces
pumpkin: 234 pieces
All three correct
moderate
easy
moderate
moderate
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
 
Calculation errors that involve a small error, but the answer is very close to the correct solution, and is easily identified for self-correction.
 
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.
a) examples 
i) 288 or 330
ii) 68 or 97
iii) 286 or 225
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).
 
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?).