Year 7: week 2 (number knowledge and measurement)

The Ministry is migrating nzmaths content to Tāhurangi.           
Relevant and up-to-date teaching resources are being moved to Tāhūrangi (tahurangi.education.govt.nz). 
When all identified resources have been successfully moved, this website will close. We expect this to be in June 2024. 
e-ako maths, e-ako Pāngarau, and e-ako PLD 360 will continue to be available. 

For more information visit https://tahurangi.education.govt.nz/updates-to-nzmaths

This week we focus on multiplication and division basic facts, and working with length and area.

This page suggests activities for each day. Click to download a printable PDF to help keep track of progress.


Day 1

Number facts

  • Go to the number facts pathway in e-ako maths.
  • Choose the multiplication and division learning tool.
  • Click “Check all facts” and answer the questions. The green ticks show the facts you know.

Measurement e-ako

  • Go to the measurement pathway in e-ako maths.
  • Choose e-ako M3.7 (the seventh yellow button on the third row).
  • Work through pages 1-7 which are about measuring lengths.
  • Write down all the units of length you know of. How are these units connected? For example, how many centimetres are in a metre?

Measurement activity

  • Go to the activity Bouncing Back. Complete only Activity One. You may need to look online to find out how to draw a scatterplot. Software like Excel and CODAP can help.
  • Check your answers at the bottom of this page. 
  • If you drop a ball from twice as high, does it bounce twice as high? Why does that happen? Explain your ideas to a family member.

Day 2

Number facts

  • If you have facts to learn go back to the multiplication and division learning tool.
  • Click “Learn a new fact” and complete the mini lesson. Do this three times.
  • Click “Check recent facts” and answer the questions.
  • Return to the number facts pathway and play the “Number Facts” game “All Numbers” a few times.
  • If you have no facts to learnplay the game Calculator Golf. You will need a calculator.

Measurement e-ako

  • Go back to e-ako M3.7 on the measurement pathway in e-ako maths.
  • Work through pages 8-13 which are about measuring the area of a Marae.
  • If you know the side lengths of a rectangle, in metres, how do you calculate the area? Explain your method to a family member.

Measurement activity

  • Go to the activity Can You? Note that the population of New Zealand is now about 4 700 000 people.
  • Check your answers at the bottom of this page.
  • Does your household use 750 cans per year? If not, why do you think the number is so high? Explain your answer to a family member.

Day 3

Number facts

  • If you have facts to learn go back to the multiplication and division learning tool.
  • Click “Learn a new fact” and complete the mini lesson. Do this three times.
  • Click “Check recent facts” and answer the questions.
  • Return to the number facts pathway and play the “Number Facts” game “All Numbers” a few times.
  • If you have no facts to learnplay the game Matrix. Instead of changing a dice with stickers you can use a set of playing cards with the numbers 4, 5, 6, 7, 8 and 9.
  • Play a game with Gina’s Board. You could compete against a family member.

Measurement e-ako

  • Go back to e-ako M3.7 on the measurement pathway in e-ako maths.
  • Work through pages 14-22 which are about measuring the area of a Marae.
  • Write down the difference between length and area. What are the units of measurement used for length and are used in this story?

Measurement activity

  • Go to the activity Pondering Pendulums.
  • Check your answers at the bottom of this page
  • Why is it that a pendulum takes the same time to complete a swing, even though the swing is shorter? Make a pendulum that is exactly 1 metre long. How long does it take to complete one swing? You may be surprised!

Day 4

Number facts

  • If you have facts to learn go back to the multiplication and division learning tool.
  • Click “Learn a new fact” and complete the mini lesson. Do this three times.
  • Click “Check recent facts” and answer the questions.
  • Return to the number facts pathway and play the “Number Facts” game “All Numbers” a few times.
  • If you have no facts to learnplay the game Matrix. Instead of changing a dice with stickers you can use a set of playing cards with the numbers 4, 5, 6, 7, 8 and 9.
  • Work on Activity Two. First play a game with each grid then answer the questions.

Measurement e-ako

  • Go back to e-ako M3.7 on the measurement pathway in e-ako maths.
  • Work through pages 23-26 which are about measuring calculating areas and using hectares as a unit.
  • How big is a hectare? Look at your section. Is your section, house and all, bigger or smaller than one hectare?

Measurement activity

  • Go to the activity Dynamic Darts. Do some online research to create different darts. Complete the task.
  • Check your answers at the bottom of this page. Scroll down to find the answers.
  • What things can you do to a dart to improve its flight length? Explain to a family member.

Day 5

Number facts

  • If you have facts to learn go back to the multiplication and division learning tool and “Check all facts” again. Hopefully you’ve got more green ticks now. Make a set of Flash Cards for the facts you still don’t know. Practice!
  • Return to the number facts pathway and try to beat your score on the “Number Facts” game.
  • If you have no facts to learnplay the game Matrix. Create your own grid and try it out by playing the game.
  • What changes would you make to your grid? Why?

Measurement activity

  • Go to the activity Face Prints.  
  • Check your answers at the bottom of this page
  • Where are faceprints used? Why is it important to use a ratio of lengths to identify a matching faceprint?  Why does the notice at immigration gates say “look at the camera” and ask that glasses are removed?