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 Mensuration. 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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### Mensuration Starters:

Area Two: How many different shapes with an area of 2 square units can you make by joining dots on this grid with straight lines?

Bizarre Triangle: By how much would the area of this triangle increase if its base was enlarged to 8cm?

Christmas Tables: Which of the two shapes has the largest area? You will be surprised!

Cross Perimeter: Calculate the distance around the given shape

Goat Grazing: Find the loci of the goat's position as it eats the grass while tethered to the rope.

Missing Lengths: Introduce linear equations by solving these problems about lengths.

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

Oblongs: Find the dimensions of a rectangle given the perimeter and area.

Quads: Calculate the areas of all the possible quadrilaterals that can be constructed by joining together dots on this grid.

Shopping List: A quick quiz about five items on a shopping list written 40 years ago.

Stair Perimeter: Use the information implied in the diagram to calculate the perimeter of this shape

Step Perimeter: Is it possible to work out the perimeter of this shape if the lengths of all the sides are not given?

#### Maths Mind Reader

This spectacular magic trick never fails to amaze people of all ages assuming they can add and subtract very simple numbers. The mathematics comes in finding out how the trick works.

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Comment recorded on the 3 October 'Starter of the Day' page by Fiona Bray, Cams Hill School:

"This is an excellent website. We all often use the starters as the pupils come in the door and get settled as we take the register."

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"I am thankful for providing such wonderful starters. They are of immence help and the students enjoy them very much. These starters have saved my time and have made my lessons enjoyable."

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?"

Comment recorded on the 9 April 'Starter of the Day' page by Jan, South Canterbury:

"Thank you for sharing such a great resource. I was about to try and get together a bank of starters but time is always required elsewhere, so thank you."

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 the whole month so I can use favourites with classes I see at different times of the week. Thanks."

Comment recorded on the 16 March 'Starter of the Day' page by Mrs A Milton, Ysgol Ardudwy:

"I have used your starters for 3 years now and would not have a lesson without one! Fantastic way to engage the pupils at the start of a lesson."

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"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 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 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 1 February 'Starter of the Day' page by Terry Shaw, Beaulieu Convent School:

"Really good site. Lots of good ideas for starters. Use it most of the time in KS3."

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."

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"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 23 September 'Starter of the Day' page by Judy, Chatsmore CHS:

"This triangle starter is excellent. I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles."

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 21 October 'Starter of the Day' page by Mr Trainor And His P7 Class(All Girls), Mercy Primary School, Belfast:

"My Primary 7 class in Mercy Primary school, Belfast, look forward to your mental maths starters every morning. The variety of material is interesting and exciting and always engages the teacher and pupils. Keep them coming please."

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Could we have some on angles too please?"

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"Excellent. Thank you very much for a fabulous set of starters. I use the 'weekenders' if the daily ones are not quite what I want. Brilliant and much appreciated."

Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield:

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

### Notes:

Mensuration is the branch of Mathematics dealing with measurement of angles, length, area, and volume. It is linked closely to the topic of Estimation and related to the topics of Angles, Shape and Shave (3D).

It is essential for pupils to have an understanding of the units used to measure which include both the more common metric units and the Imperial units still in common usage. We have found a good teaching strategy is to ask each of the pupils to "Bring to the next Maths lesson some visual aid which will help the rest of the class remember the size of a unit of measurement". See Memorable Measures below for the printable resources. This activity provides an association with a unit, a visual aid and a known person which is a great memory enhancer.

### Mensuration Teacher Resources:

Memorable Measures: This is a visual aid and printable cards to introduce a homework activity about measures.

Pin Board: Rows and columns of dots that can be joined using straight lines to create shapes.

### Mensuration Activities:

Area and Perimeter: Show that you know the area and perimeter formulas of basic shapes.

Area and Perimeter of a Rectangle: Questions on the areas and perimeters of rectangles which will test your problem solving abilities.

Area Builder: An interactive workspace in which to make shapes using square tiles with given areas and perimeters.

Area Maze: Use your knowledge of rectangle areas to calculate the missing measurement of these composite diagrams.

Area of a Trapezium: Check that you can find the area of a trapezium and use the trapezium area formula for problem solving.

Area of a Triangle: Calculate the areas of the given triangles in this self marking quiz.

Area Two: How many different shapes with an area of 2 square units can you make by joining dots on this grid with straight lines?

Areas of Composite Shapes: Find the areas of combined (composite) shapes made up of one or more simple polygons and circles.

Circles: Practise using pi to calculate various circle measurements. There are six levels of difficulty.

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

Converting Standard Units: Converting measurements of length, mass, volume and time from one unit of measure to another.

Formulae Pairs: Find the matching pairs of diagrams and formulae for basic geometrical shapes.

Formulae to Remember: The traditional pairs or pelmanism game adapted to test recognition for formulae required to be memorised for GCSE exams.

Imperial Units Pairs: Find the matching pairs of equivalent imperial units in this interactive online game.

Inequalities: Check that you know what inequality signs mean and how they are used to compare two quantities. Includes negative numbers, decimals, fractions and metric measures.

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

Measuring Angles: Measure the size of the given angles to within two degrees of their actual value.

Measuring Units: Check your knowledge of the units used for measuring with this multiple choice quiz about metric and imperial units.

Metric Units Pairs: Find the matching pairs of equivalent metric units in this interactive online game.

Mileometer: Practice converting between miles and kilometres with this self marking quiz.

Quad Areas: Calculate the areas of all the possible quadrilaterals that can be constructed by joining together dots on this grid.

Reading Scales: A self marking exercise on the reading of scales of different types.

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

Screen Test: Memorise the mathematical facts in the video then answer the ten quiz questions.

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

Surface Area: Work out the surface areas of the given solid shapes.

Volume: Work out the volumes of the given solid shapes.

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 Mensuration.

### Mensuration Investigations:

Area Builder: An interactive workspace in which to make shapes using square tiles with given areas and perimeters.

Area shapes: Investigate polygons with an area of 4 square units. This is your starting point, you can decide how to proceed. Perhaps squared paper or an online pinboard may help.

Maxvoltray: Find the maximum volume of a tray made from an A4 sheet of paper. A practical mathematical investigation.

Pin Board: Rows and columns of dots that can be joined using straight lines to create shapes.

Rectangle Perimeters: The perimeter of a rectangle is 28cm. What could its area be?

### Mensuration Videos:

Area and Perimeter: Area and perimeter of composite shapes video for GCSE Maths.

Circle Facts Song: A free trial lesson from Math Upgrade dot com.

Circle Song: This song helps students remember circle terminology (radius & diameter) and the formulas for area and circumference.

Formulae for GCSE: These are the formulae candidates need to know for the GCSE(9-1) Maths exams.

How Long is a Metre?: Do you know how long a metre is? Where did this measurement come from? How long has it been used for?

Parallelogram: Instructional video showing how the area of a parallelogram can be determined.

Pi and Four Fingers: Why is The Simpsons not in Base 8? In this video Simon Singh talks about Pi and Maths in The Simpsons cartoon.

Pi Song: Kate Bush sings the digits of pi (audio only).

### Mensuration Worksheets/Printables:

Mearsuring Lines and Angles: Practice using a ruler and protractor on this worksheet with answers provided.

Memorable Measures Notes: These are the printable cards to go with the activity called Memorable Measures.

### Mensuration External Links:

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