Myths about teaching can hold you back
- Year 10•
- Higher
Checking and securing understanding of equivalent ratios
I can appreciate that any two numbers can be connected via a multiplicative relationship.
- Year 10•
- Higher
Checking and securing understanding of equivalent ratios
I can appreciate that any two numbers can be connected via a multiplicative relationship.
Lesson details
Key learning points
- A multiplicative relationship is a proportional relationship.
- This multiplier can be thought of as a scaling factor.
- The multiplier can be deduced through unitising.
- Any value divided by itself is equal to one.
- One is the multiplicative identity.
Keywords
Reciprocal - A reciprocal is the multiplicative inverse of any non-zero number. Any non-zero number multiplied by its reciprocal is equal to 1
Common misconception
Finding the additive relationship between two numbers instead of the multiplicative one.
When dealing with any proportional relationships, such as ratios, pupils should be reminded to look for the multiplicative relationship. Using 1 as a middle step can help. e.g. to connect 5 and 8, divide by 5 to make 1 and then multiply by 8.
To help you plan your year 10 maths lesson on: Checking and securing understanding of equivalent ratios, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Checking and securing understanding of equivalent ratios, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the Ratio unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Prior knowledge starter quiz
6 Questions
Q1.What is the ratio of triangles to circles in its simplest form?

Q2.Select the ratio of shaded to unshaded squares written in its simplest form.

Q3.Write the ratio 18 : 12 in its simplest form
Q4.Which of these are unitary ratios?
Q5.Write the ratio of triangles to circles in the form $$1 : n$$ where $$n$$ is a decimal.

Q6.A recipe uses 240 g of flour and 3 eggs. Write the ratio of number of eggs : grams flour in the form 1 : $$n$$
Assessment exit quiz
6 Questions
Q1.Equivalent ratios are ratios which represent the same
Q2.Write the single multiplier which connects the two numbers shown. Give your answer as a decimal.

Q3.Find the correct value to complete the ratio table.

Q4.Match up the equivalent ratios.
3 : 4 -Â
15 : 20
12 : 18 -Â
30 : 45
4 : 3 -Â
40 : 30
8 : 10 -Â
20 : 25
5 : 3 -Â
25 : 15
Q5.Match each of the letters to the number they represent in this ratio table.

a -Â
$$\frac{5}{4}$$
b -Â
$$\frac{4}{3}$$
c -Â
$$\frac{4}{5}$$
d -Â
$$\frac{3}{4}$$