Multiplicative change
Term 1 starting in week 3 :: Estimated time: 2 weeks
- Solve problems involving direct proportion
- Explore conversion graphs
- Convert between currencies
- Explore direct proportion graphs
- Explore relationships between similar shapes
- Understand scale factors as multiplicative representations
- Draw and interpret scale diagrams
- Interpret maps using scale factors and ratios
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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.
Multitude Arrange the given digits to make three numbers such that the third is the product of the first and the second.
Ratio A self marking exercise on using ratio notation, reducing a ratio to its simplest form and dividing a given quantity into a number of parts in proportion to a given ratio.
Ratio Video Learn to work with ratios including dividing a quantity in a given ratio.
Scale Drawings Measure line segments and angles in geometric figures, including interpreting scale drawings.
Currency Conversion Test your ability to convert from one currency to another with this self marking quiz.
Unitary Method Ten questions which can be solved using the unitary method.
Unit Pricing Calculate the unit cost of items to earn jigsaw pieces that make a joke.
Map Scales Video Refresh your understanding of map scales expressed as ratios.
Map Scales Test your understanding of map scales expressed as ratios with this self marking quiz.
Scale Factors Video The scale factor, area factor and volume factor of similar shapes are quite different.
Similar Shapes Questions about the scale factors of lengths, areas and volumes of similar shapes.
Direct and Inverse Proportion A self-marking exercise in solving direct and inverse variation problems.
Click on a topic below for suggested lesson Starters, resources and activities from Transum.
- Enlargements When areas and volumes are enlarged the results are far from intuitive. Doubling the dimensions of a rectangle produces a similar shape with four times the area! Doubling the dimensions of a cuboid produces a similar shape with eight times the volume! The activities provided are intended to give pupils experiences of dealing with enlargements so that they better understand the concept and are able to produce diagrams, make models and answer questions on this subject. Once positive integer scale factors have been mastered the notion of fractional and negative scale factors await discovery!
- Fractions A fraction is a part of a number. Fractions are either vulgar or decimal. Vulgar fractions can be proper, improper or mixed. Equivalent fractions have the same value. Pupils, at all stages of their learning, should practise using fractions. From dealing with halves, the most basic fraction, to manipulating algebraic fractions containing surds, this topic is always relevant. Proficiency also depends on reasonable numeracy skills particularly the multiplication tables and finding the lowest common multiple of two numbers. Pupils also need to be able to convert vulgar fractions to decimals and percentages and vice versa. Be wary of teaching the 'rules' for manipulation fractions by rote. Pupils need to understand the reason why and the time-honoured key to understanding starts with the imaginary pizza and the much-used fraction wall.
- Ratio A ratio is a relationship between two numbers of the same kind. In layman's terms a ratio represents, simply, for every amount of one thing, how much there is of another thing. This topic presents a number if different ways pupils can represent ratios and apply their meaning to problem solving situations.
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
Consecutive Squares
What do you notice about the difference between the squares of consecutive numbers?
2nd Lesson
ClockEquate
Can you use the digits on the left of this clock along with any mathematical operations to equal the digits on the right?
3rd Lesson
Get A Wiggle On
A mixture of calculations to get your brain working at the start of a mathematics lesson.
4th Lesson
Cracked Clock
How did the clock break if the numbers on each of the pieces added up to the same total?
5th Lesson
Cross Perimeter
Calculate the distance around the given shape
6th Lesson
Rows of Roses
Can you draw 4 straight lines, without taking your pencil off the paper, which pass through all 9 roses?
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.
