Rates

Term 3 starting in week 5 :: Estimated time: 2 weeks

Solve speed, distance and time problems without a calculator
Solve speed, distance and time problems with a calculator
Use distance/time graphs
Solve problems with density, mass and volume
Solve flow problems and their graphs
Rates of change and their units

For higher-attaining pupils:

Convert compound units

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Activities for pupils

Here are some related resources in alphabetical order. Some may only be appropriate for high-attaining learners while others will be useful for those in need of support. Click anywhere in the grey area to access the resource.

Compound Units Practise using compound units such as speed, unit pricing and density to solve problems.

Fill Graph Pairs If the container is gradually filled with a steady flow of water which height-time graph would be produced?

Travel Graphs Test your understanding of distance-time and speed-time graphs with this self-marking exercise.

Travel Graphs Video Learn about distance-time graphs, speed-time graphs and how to interpret them.

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

Graphs This topic includes algebraic and statistical graphs including bar charts, line graphs, scatter graphs and pie charts. A graph is a diagram which represents a relationship between two or more sets of numbers or categories. The data items are shown as points positioned relative to axes indicating their values. Pupils are typically first introduced to simple bar charts and learn to interpret their meaning and to draw their own. More sophisticated statistical graphs are introduced as the pupil's mathematical understanding develops. Pupils also learn about coordinates as a pre-requisite for understanding algebraic graphs. They then progress to straight line graphs before learning to work with curves, gradients, intercepts, regions and, for older pupils, calculus.

Lesson Starters

Here are some suggestions for whole-class, projectable resources which can be used at the beginnings of each lesson in this block.

1st Lesson

Fly Catching

Find which whole number divided by another whole number gives the answer: 1.090909091

2nd Lesson

How many of Each?

Pens cost 12p each, Pencils cost 9p each, Richard spent 72p altogether. How many pens and pencils did he buy?

3rd Lesson

Nine Digit Sum

Arrange the digits one to nine to make a correct addition calculation.

4th Lesson

Paradox

Can you solve this paradox by agreeing whether the statements are right or wrong?

5th Lesson

Four's Independence

A clock face containing only the number 4. Can you make a clock face containing any other single number?

6th Lesson

Refreshing Revision

It is called Refreshing Revision because every time you refresh the page you get different revision questions.

Some of the Starters above are to reinforce concepts learnt, others are to introduce new ideas while others are on unrelated topics designed for retrieval practice or and opportunity to develop problem-solving skills.

White Rose Resources

End of block assessments provide a quick progress check at the end of each block of learning to make sure students have understood the content covered.

Rates Assessment

Assessment Answers

This Scheme of Learning was produced by White Rose Maths and is used here with permission granted on 30th June 2021.

Year 9 Scheme of Learning