Transum Maths Software

Geometry

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 Geometry. 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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Geometry Starters:

Angle Estimates: Estimate the sizes of each of the angles then add your estimates together.

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!

Cross Perimeter: Calculate the distance around the given shape

Dice Reflections: A dice is reflected in two mirrors. What numbers can be seen?

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

Mathterpiece: Memorise a picture made up of geometrical shapes

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

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.

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

Reflective Cat: On squared paper copy the drawing of the face then reflect it in three different lines.

Rotational Symmetry: Draw a pattern with rotational symmetry of order 6 but no line symmetry.

Sectors: Work out which sectors fit together to make complete circles. Knowledge of the sum of the angles at a point will help find more than one correct solution to this puzzle.

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.

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 not all the side lengths are given?

 

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

Featured Activity

Jugs

Jugs

The classic problem of using two unmarked jugs to measure exactly a given quantity. The Transum version is interactive and awards a virtual trophy for each of the levels completed.

 

Curriculum for Geometry:

Year 5

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 angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles. more...

Years 7 to 9

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 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...

Pupils should be taught to apply the properties of angles at a point, angles at a point on a straight line, vertically opposite angles more...

Pupils should be taught to derive and use the sum of angles in a triangle and use it to deduce the angle sum in any polygon, and to derive properties of regular polygons more...

Pupils should be taught to apply angle facts, triangle congruence, similarity and properties of quadrilaterals to derive results about angles and sides, including Pythagoras’ Theorem, and use known results to obtain simple proofs more...

Pupils should be taught to interpret mathematical relationships both algebraically and geometrically. more...

Years 10 and 11

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 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 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 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 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 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 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 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 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 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?"

Notes:

Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. Geometry arose independently in a number of early cultures as a body of practical knowledge concerning lengths, areas, and volumes, with elements of a formal mathematical science emerging in the West as early 6th Century BC.

See also the topics of Angles, Area, Bearings, Circles, Enlargements, Mensuration, Pythagoras, Shape, Shape (3D), Symmetry, Transformations and Trigonometry.

Geometry Teacher Resources:

Angle Theorems: Diagrams of the angle theorems with interactive examples.

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.

Circle Theorems: Diagrams of the circle theorems to be projected onto a white board as an effective visual aid.

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

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.

Geometry Activities:

Angle Chase: Find all of the angles on the geometrical diagrams.

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

Angle Points: Apply the properties of angles at a point, angles on a straight line and vertically opposite angles.

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

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

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.

Circle Theorems Exercise: Show that you understand the circle theorems with this self marking exercise.

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

Estimating Angles: Estimate the size of the given acute angles in degrees.

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

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

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 angles in polygons.

Polygon Pieces: Arrange the nine pieces of the puzzle on the grid to make the given polygon.

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

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

Proof of Circle Theorems: Arrange the stages of the proofs for the standard circle theorems in the correct order.

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

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.

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

Transformations: Draw transformations online and have them instantly checked. Includes reflections, translations, rotations and enlargements.

Vectors: An online exercise on addition and subtraction of vectors, multiplication of vectors by a scalar, and diagrammatic representations of vectors.

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.

Geometry Investigations:

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.

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

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.

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?

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.

Geometry Videos:

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

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.

Geometry Worksheets/Printables:

Angle Chase Worksheets: A set of printable Angle Chase sheets on which pupils fill in the missing angles.

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

Geometry External Links:

Links to other websites containing resources for Geometry 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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Bottles, Boxes and Cans

Bottles, Boxes and Cans

Estimate the capacity of the bottles, boxes and cans in the photograph and answer questions about volume. So far this activity has been accessed 34 times and 7 people have earned a Transum Trophy for completing it.

 

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