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 Shape. 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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### Shape 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?

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

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

Hexagon: On a full page in the back of your exercise book draw a perfectly regular hexagon.

How Many Rectangles?: How many rectangles can you find in this pattern? Can you come up with a systematic method for counting them all?

How Many Squares? 1: Work out how many squares are there altogether in the given pattern then tackle the chess board.

How Many Squares? 2: How many squares can be found by joining four dots on the grid?

How Many Triangles? 1: How many Triangles can you find in the diagram?

How Many Triangles? 2: How many triangles are hidden in the pattern? What strategy might you use to count them all to ensure you don't miss any out?

How Many Triangles? 3: Find a systematic way of counting the number of triangles in the given diagram.

Mathterpiece: Memorise a picture made up of geometrical shapes

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.

Overlapping Squares: If two squares overlap, what shapes can the overlapping region make?

Pentagon: On a full page in the back of your exercise book draw a perfectly regular pentagon.

Polygon Riddle 1: Solve the riddle to find the name of the polygon then sum the interior angles.

Polygon Riddle 2: A "My first is in..." type riddle leading to a polygon interior angle calculation.

Polygon Riddle 3: A 'My first is in...' riddle that describes a geometrical shape. Can you construct it?

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

Rows of Roses: Can you draw 4 straight lines, without taking your pencil off the paper, which pass through all 9 roses?

Square Angles: Find a trapezium, a triangle and a quadrilateral where all of the angles are square numbers.

Square Circle Kite: Write down the names of all the mathematical shapes you know.

Squared Animals: Separate three rows of three animals using three squares.

Two Squares: Using six pencils can you make two equal sized squares?

Find The Radius: Find the radius of the circle from the small amount of information provided.

Geometry Snack: Find the value of the marked angle in this diagram from the book Geometry Snacks

Quad Midpoints: What shape is created when the midpoints of the sides of a quadrilateral are joined together?

Square in Rectangle: Find the area of a square drawn under the diagonal of a rectangle

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

#### Yes No Questions

A game to determine the mathematical item by asking questions that can only be answered yes or no.

Transum.org/go/?to=yesno

### Curriculum for Shape:

#### Year 5

Pupils should be taught to measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres more...

Pupils should be taught to use the properties of rectangles to deduce related facts and find missing lengths and angles more...

Pupils should be taught to distinguish between regular and irregular polygons based on reasoning about equal sides and angles more...

#### Year 6

Pupils should be taught to draw 2-D shapes using given dimensions and angles more...

Pupils should be taught to compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons more...

Pupils should be taught to recognise that shapes with the same areas can have different perimeters and vice versa more...

Pupils should be taught to recognise when it is possible to use formulae for area and volume of shapes more...

#### Years 7 to 9

Pupils should be taught to derive and apply formulae to calculate and solve problems involving: perimeter and area of triangles, parallelograms, trapezia, volume of cuboids (including cubes) and other prisms (including cylinders) more...

Pupils should be taught to calculate and solve problems involving: perimeters of 2-D shapes (including circles), areas of circles and composite shapes more...

Pupils should be taught to describe, sketch and draw using conventional terms and notations: points, lines, parallel lines, perpendicular lines, right angles, regular polygons, and other polygons that are reflectively and rotationally symmetric more...

Pupils should be taught to use the standard conventions for labelling the sides and angles of triangle ABC, and know and use the criteria for congruence of triangles more...

Pupils should be taught to derive and illustrate properties of triangles, quadrilaterals, circles, and other plane figures [for example, equal lengths and angles] using appropriate language and technologies more...

Pupils should be taught to identify and construct congruent triangles, and construct similar shapes by enlargement, with and without coordinate grids more...

#### Years 10 and 11

Pupils should be taught to identify and apply circle definitions and properties, including: centre, radius, chord, diameter, circumference, tangent, arc, sector and segment more...

Pupils should be taught to {apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results} more...

### Feedback:

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

Comment recorded on the 5 April 'Starter of the Day' page by Mr Stoner, St George's College of Technology:

"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."

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 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 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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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 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 6 May 'Starter of the Day' page by Natalie, London:

"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 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!"

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 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 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."

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 17 November 'Starter of the Day' page by Amy Thay, Coventry:

"Thank you so much for your wonderful site. I have so much material to use in class and inspire me to try something a little different more often. I am going to show my maths department your website and encourage them to use it too. How lovely that you have compiled such a great resource to help teachers and pupils.
Thanks again"

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 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 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 8 May 'Starter of the Day' page by Mr Smith, West Sussex, UK:

"I am an NQT and have only just discovered this website. I nearly wet my pants with joy.
To the creator of this website and all of those teachers who have contributed to it, I would like to say a big THANK YOU!!! :)."

Comment recorded on the s /Coordinate 'Starter of the Day' page by Greg, Wales:

"Excellent resource, I it all of the time! The only problem is that there is too much good stuff here!!"

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."

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 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 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 19 June 'Starter of the Day' page by Nikki Jordan, Braunton School, Devon:

"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 9 October 'Starter of the Day' page by Mr Jones, Wales:

"I think that having a starter of the day helps improve maths in general. My pupils say they love them!!!"

### Notes:

This topic is aimed at the learners of basic geometry, which is the study of size, shape and position. More than other areas of mathematics this topic helps pupils to learn about the definitions and properties of basic shapes.

There are many activities provided ranging from simple shape naming games to applying more advanced formulas and theorems. The most popular activities however are those involving pupils to count the number of triangles or rectangles in patterns and come up with effective strategies and justifications for their answers.

The work pupils produce for this topic can make very good display material. The use of colour can enhance the diagrams and make the learning environment more conducive to study. There are many connections between the mathematics of shape and Art. There are fascinating works of art based on symmetry, tessellations and transformations.

### Shape Teacher Resources:

Circle Parts Kim's Game: A memory game to be projected to help the whole class revise the names for the parts of a circle.

Geometry Toolbox: Create your own dynamic geometrical diagrams using this truly amazing tool from GeoGebra.

Kite Maths: Can you make a kite shape from a single A4 size sheet of paper using only three folds?

Optical Illusions: Don't let your brain be fooled by these geometric optical illusions in this online quiz.

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

Polygons: Name the polygons and show the number of lines and order of rotational symmetry.

Tangram Challenge: A series of tangram challenges in increasing order of difficulty.

The Great Dodecahedron: Pupils are not allowed to use their hands to point but must describe fully any shapes they can see in this picture.

### Shape Activities:

Angle Parallels: Understand and use the relationship between parallel lines and alternate and corresponding angles.

Angles in a Triangle: A self marking exercise involving calculating the unknown angle in a triangle.

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.

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.

Congruent Triangles: Test your understanding of the criteria for congruence of triangles with this self-marking quiz.

Faces, Edges and Vertices: Calculate the number of faces, edges and vertices on 3D Shapes.

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

Fractal Mosaic: Follow the precise instructions to create the ever-growing fractal mosaic pattern.

Geometry Toolbox: Create your own dynamic geometrical diagrams using this truly amazing tool from GeoGebra.

How Many Squares? 2: How many different sets of four dots can be joined to form a square?

How Many Triangles?: A self marking step by step approach to calculating the number of triangles in a design.

Mathterpieces: Memorise eight pictures made up of geometrical shapes then sort them into order.

Online Logo: An online version of the Logo programming language with 30 mathematical challenges.

Optical Illusions: Don't let your brain be fooled by these geometric optical illusions in this online quiz.

Polybragging: The Transum version of the Top Trumps game played online with the properties of polygons.

Polygon Angles: A mixture of problems related to calculating the interior and exterior angles of polygons.

Polygon People: Name the polygons and other geometrical shapes that make up the Polygon People.

Polygon Pieces: Arrange the nine pieces of the puzzle on the grid to make different polygons.

Polygon Properties: Connect the names of the polygons with the descriptions of their properties.

Polygons: Name the polygons and show the number of lines and order of rotational symmetry.

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

Shapes In The Stars: Join up the stars to find the hidden regular polygons.

Sheep Herding: Arrange the sheep in the field according to the instructions. An introduction to loci.

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

Tangram Table: Use the pieces of the tangram puzzle to make the basic shapes then complete the table showing which shapes are possible.

Tantrum: A game, a puzzle and a challenge involving counters being placed at the corners of a square on a grid.

Without Lifting The Pencil: Can you draw these diagrams without lifting your pencil from the paper? This is an interactive version of the traditional puzzle.

Xmas Ornaments: A hands on activity requiring students to arrange Christmas ornaments in a square box.

Yes No Questions: A game to determine the mathematical item by asking questions that can only be answered yes or no.

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

### Shape 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.

How Many Rectangles?: Investigate the number of rectangles on a grid of squares. What strategies will be useful in coming up with the answer?

How Many Sides?: How many different polygons can you make on a 3 by 3 pin board? What about larger pin boards?

Hula Hoops: If a number of Hula Hoops are dropped on the floor, what is the maximum number of regions they might form?

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

Polygon Areas: Investigate polygons with an area of 4 sq. units. Investigate polygons with other areas.

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

Rod Triangles: Using 12 rods of varying lengths how many different triangles can you make?

Tantrum: A game, a puzzle and a challenge involving counters being placed at the corners of a square on a grid.

Tessellations: Drag the shapes onto the canvas to create tessellating patterns and investigate the laws of tessellations.

Tetrominoes: A tetromino is a shape made of four squares joined edge to edge. How many different tetrominoes are there?

Featured Investigations

Diagonal Through Squares: How many squares does the diagonal of a rectangle drawn on squared paper pass through?

### Shape Videos:

Construct a congruent triangle: Construction (with compass and straight edge) of a triangle congruent to a given triangle.

Different types of Triangle: Euclid and his friends explain how many different kinds of triangle there are.

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

Polygon Song: Learn the names of the basic polygons.

The 50 Cent Riddle: A 50 cent coin has 12 equal sides. If you place two coins next to each other on a table, what is the angle formed between the two coins?

### Shape Worksheets/Printables:

How Many Rectangles?: A worksheet containing many copies of the How Many Rectangles Starter diagram allowing students to record their findings.

How Many Squares? 1: A printable grid containing many copies of the design used in the shape counting Starter.

How Many Squares? 2: A printable grid containing many copies of the design used in the second shape counting Starter.

How Many Triangles? 1: A printable grid containing many copies of the design used in the shape counting Starter.

Line Drawings: Six line drawings that may or may not be able to be traced without lifting the pencil or going over any line twice.

Polybragging Cards: Printable cards for the Polybragging game. Use the properties of polygons to win.

Polygons Page: A printable page of polygons for pupils to name and mark on important features.

Links to other websites containing resources for Shape 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:

### Search

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### Other

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#### Angle Parallels

Understand and use the relationship between parallel lines and alternate and corresponding angles.

Transum.org/go/?to=parallels

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Shaam, Australia

Saturday, August 20, 2011

"I think this is a fantastic website and I most certainly will use it in my class. Thank you and God bless."

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