Transum Maths Software

Ratio

There are 366 different Starters of The Day, many to choose from. You will find in the left column below some starters on the topic of Ratio. In the right column below are links to related online activities, videos and teacher resources.

A lesson starter does not have to be on the same topic as the main part of the lesson or the topic of the previous lesson. It is often very useful to revise or explore other concepts by using a starter based on a totally different area of Mathematics.

Main Page

Ratio Starters:

Aunty Dotty: A real life situation requiring the division an amount of money according to a given ratio.

Hole in One: If six girls can plant 90 trees in a day. How many trees can ten girls plant in a day? The unitary method.

Missing Square Puzzle: The missing square puzzle is an optical illusion used to help students reason about geometrical figures.

What are they?: A starter about sums, products, differences, ratios, square and prime numbers.

Advanced Ratio Starters

 

Small images of these Starters | | |  Complete Index of Starters

Suggested

Unitary Method

Unitary Method

Ten questions which can be solved using the unitary method.

The short web address is:

Transum.org/go/?to=unitary

 

Curriculum for Ratio:

Year 5

Pupils should be taught to solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates more...

Year 6

Pupils should be taught to solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts more...

Pupils should be taught to solve problems involving similar shapes where the scale factor is known or can be found more...

Pupils should be taught to solve problems involving unequal sharing and grouping using knowledge of fractions and multiples. more...

Years 7 to 9

Pupils should be taught to use scale factors, scale diagrams and maps more...

Pupils should be taught to draw and measure line segments and angles in geometric figures, including interpreting scale drawings more...

Pupils should be taught to use ratio notation, including reduction to simplest form more...

Pupils should be taught to divide a given quantity into two parts in a given part:part or part:whole ratio; express the division of a quantity into two parts as a ratio more...

Pupils should be taught to understand that a multiplicative relationship between two quantities can be expressed as a ratio or a fraction more...

Pupils should be taught to relate the language of ratios and the associated calculations to the arithmetic of fractions and to linear functions more...

Pupils should be taught to solve problems involving direct and inverse proportion, including graphical and algebraic representations more...

Years 10 and 11

Pupils should be taught to compare lengths, areas and volumes using ratio notation and/or scale factors; make links to similarity (including trigonometric ratios) more...

Pupils should be taught to understand that X is inversely proportional to Y is equivalent to X is proportional to 1/Y ; {construct and} interpret equations that describe direct and inverse proportion more...

Pupils should be taught to interpret the gradient of a straight line graph as a rate of change; recognise and interpret graphs that illustrate direct and inverse proportion more...

Pupils should be taught to identify and work with fractions in ratio problems more...

Pupils should be taught to apply the concepts of congruence and similarity, including the relationships between lengths, {areas and volumes} in similar figures more...

Feedback:

Comment recorded on the 1 February 'Starter of the Day' page by M Chant, Chase Lane School Harwich:

"My year five children look forward to their daily challenge and enjoy the problems as much as I do. A great resource - thanks a million."

Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay:

"An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!"

Comment recorded on the 2 May 'Starter of the Day' page by Angela Lowry, :

"I think these are great! So useful and handy, the children love them.
Could we have some on angles too please?"

Comment recorded on the 14 October 'Starter of the Day' page by Inger Kisby, Herts and Essex High School:

"Just a quick note to say that we use a lot of your starters. It is lovely to have so many different ideas to start a lesson with. Thank you very much and keep up the good work."

Comment recorded on the 11 January 'Starter of the Day' page by S Johnson, The King John School:

"We recently had an afternoon on accelerated learning.This linked really well and prompted a discussion about learning styles and short term memory."

Comment recorded on the 9 May 'Starter of the Day' page by Liz, Kuwait:

"I would like to thank you for the excellent resources which I used every day. My students would often turn up early to tackle the starter of the day as there were stamps for the first 5 finishers. We also had a lot of fun with the fun maths. All in all your resources provoked discussion and the students had a lot of fun."

Comment recorded on the 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College:

"Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work"

Comment recorded on the 2 April 'Starter of the Day' page by Mrs Wilshaw, Dunsten Collage,Essex:

"This website was brilliant. My class and I really enjoy doing the activites."

Comment recorded on the 1 August 'Starter of the Day' page by Peter Wright, St Joseph's College:

"Love using the Starter of the Day activities to get the students into Maths mode at the beginning of a lesson. Lots of interesting discussions and questions have arisen out of the activities.
Thanks for such a great resource!"

Comment recorded on the 10 April 'Starter of the Day' page by Mike Sendrove, Salt Grammar School, UK.:

"A really useful set of resources - thanks. Is the collection available on CD? Are solutions available?"

Notes:

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.

Ratio Teacher Resources:

Dividing in a Ratio: A slide presentation showing how to divide a quantity in a given ratio

Ratio Activities:

Direct and Inverse Proportion: A self-marking exercise in solving direct and inverse variation problems.

Map Scales: Test your understanding of map scales expressed as ratios with this self marking quiz.

Pattern Clues: An interactive activity challenging you to reproduce a pattern of coloured squares according to given clues.

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 Clues: Arrange the ratio clues in the clouds in a logical order to work out the values of the twelve letters.

Recipe Ratios: Learn the mathematics required to adapt recipes to serve a different number of people.

Scale Drawings: Measure line segments and angles in geometric figures, including interpreting scale drawings.

Similar Shapes: Questions about the scale factors of lengths, areas and volumes of similar shapes.

Unit Pricing: Calculate the unit cost of items to earn jigsaw pieces that make a joke.

Unitary Method: Ten questions which can be solved using the unitary method.

Finally there is Topic Test, a set of 10 randomly chosen, multiple choice questions suggested by people from around the world.

Alternatively, for the more advanced student, there is an ever-growing collection of Exam-Style Questions with worked solutions on the topic of Ratio.

Ratio Videos:

Direct and Inverse Proportion: Examples showing how to solve direct and inverse proportion questions in the form of a song!

Ratios And Rates: A lively explanation from Math Antics

Ratio External Links:

Links to other websites containing resources for Ratio are provided for those logged into 'Transum Mathematics'. Subscribing also opens up the opportunity for you to add your own links to this panel. You can sign up using one of the buttons below:

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Suggested

Dividing in a Ratio

Dividing in a Ratio

A slide presentation showing how to divide a quantity in a given ratio

The short web address is:

Transum.org/go/?to=ratioppt

 

Homepage

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Wednesday, November 1, 2017

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