Add/Subtract
35 + 24 = ?
Use splitting
30+5
20+4
50+9 = 59
4 × 5 = ?
explain why
20
20 divided by 5 is 4 or 20 divided by 4 is 5
Which 3D shape has 6 square faces?demonstrate using a cube
Cube
A pictograph shows ⭐ = 2 children. There are 3 stars. How many children?
6
What is ½ of 12? explain why
6
you can show a model
83 − 47 = ?
Use compensation
47 is almost 50
47+3=50
83-50=33
But we subtracted 3 too much so add 3 back
33+3=36
24 ÷ 4 = ?
explain why
6
6X4 is 24 or 24 divided by 6 is 4
I slide a shape without turning it. What transformation is this?
grab a shape and show how to slide
Translation
A bar graph shows 8 votes for cats and 5 for dogs. How many more votes did cats get?
3
What is ¼ of 20? explain why
5. show a model
246 + 137 = ?
Use splitting or partitioning
246 = 200 + 40 + 6
137 = 100 + 30 + 7
383
7 × 8 = ?
explain why with a model or inverse
56 because 56 divided by 8 is 7
or 56 divided by 7 is 8
I turn a shape a quarter turn. What transformation is this?
take a shape and show a quarter turn
Rotation
A pictograph shows ● = 5 books. There are 4 dots. How many books?
20
Which is larger: ¾ or ½? explain why
3/4. show a model
500 − 268 = ?
Use splitting
Start with 500:
Answer: 232
63 ÷ 7 = ?
check using inverse
9
because 9X7 = 63
A shape is flipped over a mirror line. What transformation has happened? take a shape and flip
Reflection
A class survey has 12 votes for blue, 8 for red and 5 for green. How many votes altogether?
25
There are 24 students. ¾ of them are wearing hats. How many are wearing hats?
18. show a model
I add two 3-digit numbers. One is 287. The total is 653. What is the other number?Explain your thinking
366. show a model or diagram
48 students are put into equal teams. Each team has 6 students. Then each team is split into 2 equal groups. How many students are in each smaller group?Why, explain your thinking
3 students. show a bar model or diagram
A bar graph shows: Cats = 12, Dogs = 8, Fish = 5, Birds = 7. How many more students chose cats and dogs combined than fish and birds combined? Why show your working out
8 more because ___ (show your thinking)
A shape is reflected, then moved 4 squares east without turning, then given a quarter turn clockwise. Name the three transformations in order. Take a shape and show
Reflection, translation, rotation
There are 32 students. ¼ bring lunch from home and ½ buy lunch. How many students are not in either group? Explain your working out
8 students because ______ (show your working)