New
New
Year 10
Higher
Checking and securing understanding of sharing in a ratio
I can use a ratio fluently in the context of sharing.
New
New
Year 10
Higher
Checking and securing understanding of sharing in a ratio
I can use a ratio fluently in the context of sharing.
These resources will be removed by end of Summer Term 2025.
Switch to our new teaching resources now - designed by teachers and leading subject experts, and tested in classrooms.
Lesson details
Key learning points
- Bar models can help to represent a situation.
- It is important that the parts are equal, otherwise the ratio is not represented correctly.
- A ratio table can also be used to help show the multiplicative relationship.
- Both representations help to expose the structure.
- Once the structure is understood, the representations will not be needed.
Keywords
Ratio - A ratio shows the relative sizes of two or more values and allows you to compare a part with another part in a whole
Common misconception
Procedural understanding of sharing in a ratio where pupils add the parts, divide the amount by this and then multiply by each part without considering the information in the question.
In the lesson encourage pupils to look for keywords in the question which indicate if the amount given is the total, one part or the difference. The use of a bar model to display the information can also be used to help pupils.
Mini white boards can be useful to sketch bar models.
Teacher tip
Licence
This content is © Oak National Academy Limited (2024), licensed on
Open Government Licence version 3.0
except where otherwise stated. See Oak's terms & conditions (Collection 2).Lesson video
Loading...
Starter quiz
Download starter quiz
6 Questions
Q1.
Select the options that show a ratio written in its simplest form.
0.25
12 : 15
18 : 15
Q2.
Write the single multiplier which connects the two numbers shown. Give your answer as a decimal.
Q3.
Match up the equivalent ratios.
40 : 100
20 : 5
30 : 35
100 : 40
30 : 45
Q4.
Find the correct value to complete the ratio table.
Q5.
Match each of the letters to the number they represent in this ratio table.
4
$$\frac{3}{5}$$
$$\frac{1}{4}$$
$$\frac{5}{3}$$
Q6.
Alex and Sam share £24 in the ratio 3 : 5
How much does Alex get?
Exit quiz
Download exit quiz
6 Questions
Q1.
Select the ratios that are equivalent to 3 : 8.
8 : 3
4 : 9
30 : 80 : 10
Q2.
Alex and Sofia share some money in the ratio 3 : 5.
They share £360 in total.
How much does Alex get?
£225
£45
£120
Q3.
Alex and Sofia share some money in the ratio 3 : 5.
Alex gets £360.
How much does Sofia get?
£135
£225
£216
Q4.
Alex and Sofia share some money in the ratio 3 : 5.
Sofia gets £360.
How much did they share in total?
£960
£360
£225
£135
Q5.
Alex and Sofia share some money in the ratio 3 : 5.
Sofia gets £360 more than Alex.
How much did Alex get?
£135
£216
£900
Q6.
Izzy, Laura and Jun share some money in the ratio of 3 : 2 : 7.
Jun gets £60 more than Izzy.
How much does Laura receive?
£10
£120
£24