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.

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### Ratio Starters:

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

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

Plant More Trees: If six girls can plant 90 trees in a day. How many trees can ten girls plant in a day? The unitary method.

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

How Many Left Handers?: Work out the number of members if the probability of left-handed members being randomly selected is given.

Hundred and Fifty Percent: Divide 110 into two parts so that the larger part is 150% of the smaller part.

Paper Ratio: Calculate the ratio of the sides of an A4 sheet of paper without any measuring.

Paper Surprising Perimeter: Find the perimeter of a folded sheet of A4 paper as described in this short video.

Sibling Count: How many boys and how many girls are there in the family?

Temperature Sum: Can you explain why 0oC + 0oC does not equal 64oF

Three Right Triangles: Calculate the lengths of the unlabelled sides of these right-angled triangles.

Two real numbers: The sum of the reciprocals of two real numbers is -1, and the sum of their cubes is 4. What are they?

#### Unitary Method

Ten questions which can be solved using the unitary method.

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 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."

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

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"A set of real life savers!!
Keep it up and thank you!"

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Comment recorded on the 18 September 'Starter of the Day' page by Mrs. Peacock, Downe House School and Kennet School:

"My year 8's absolutely loved the "Separated Twins" starter. I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions."

Comment recorded on the 17 June 'Starter of the Day' page by Mr Hall, Light Hall School, Solihull:

"Dear Transum,

I love you website I use it every maths lesson I have with every year group! I don't know were I would turn to with out you!"

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"This resource has made a great deal of difference to the standard of starters for all of our lessons. Thank you for being so creative and imaginative."

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Could we have some on angles too please?"

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Thanks again"

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Comment recorded on the 3 October 'Starter of the Day' page by S Mirza, Park High School, Colne:

"Very good starters, help pupils settle very well in maths classroom."

Comment recorded on the 3 October 'Starter of the Day' page by Mrs Johnstone, 7Je:

"I think this is a brilliant website as all the students enjoy doing the puzzles and it is a brilliant way to start a lesson."

Comment recorded on the 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School:

"This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it!
Thanks"

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Thanks for such a great resource!"

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"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 26 March 'Starter of the Day' page by Julie Reakes, The English College, Dubai:

"It's great to have a starter that's timed and focuses the attention of everyone fully. I told them in advance I would do 10 then record their percentages."

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 10 September 'Starter of the Day' page by Carol, Sheffield PArk Academy:

"3 NQTs in the department, I'm new subject leader in this new academy - Starters R Great!! Lovely resource for stimulating learning and getting eveyone off to a good start. Thank you!!"

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 1 May 'Starter of the Day' page by Phil Anthony, Head of Maths, Stourport High School:

"What a brilliant website. We have just started to use the 'starter-of-the-day' in our yr9 lessons to try them out before we change from a high school to a secondary school in September. This is one of the best resources on-line we have found. The kids and staff love it. Well done an thank you very much for making my maths lessons more interesting and fun."

Comment recorded on the 19 November 'Starter of the Day' page by Lesley Sewell, Ysgol Aberconwy, Wales:

"A Maths colleague introduced me to your web site and I love to use it. The questions are so varied I can use them with all of my classes, I even let year 13 have a go at some of them. I like being able to access Starters for the whole month so I can use favourites with classes I see at different times of the week. Thanks."

### 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:

Algebra In Action: Real life problems adapted from an old Mathematics textbook which can be solved using algebra.

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:

Transum's Ratio Video

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

Map Scales Video: Refresh your understanding of map scales expressed as ratios.

Ratio Video: Learn to work with ratios including dividing a quantity in a given ratio.

Ratios And Rates: A lively explanation from Math Antics

Scale Factors Video: The scale factor, area factor and volume factor of similar shapes are quite different.

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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### Other

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#### Algebra In Action

Real life problems adapted from an old Mathematics textbook which can be solved using algebra.

Transum.org/go/?to=action

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Wednesday, November 1, 2017

Shyrell,

Monday, January 18, 2021

"Thank you so much for the beautiful and interactive activities here in your site its a great help for me in my discussion and my students love it so much . <3
God bless."

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