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. Quad Areas: 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 :: Index of Starters Geometry Advanced Starters: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? Three Right Triangles: Calculate the lengths of the unlabelled sides of these rightangled triangles.
Curriculum for Geometry:Year 5Pupils 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 6Pupils should be taught to draw 2D 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 9Pupils 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 Pythagorasâ€™ 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 11Pupils 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... Pupils should be taught to construct and interpret plans and elevations of 3D shapes more... Pupils should be taught to calculate arc lengths, angles and areas of sectors of circles 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 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 'starteroftheday' 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 online 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 25 June 'Starter of the Day' page by Inger.kisby@herts and essex.herts.sch.uk, : "We all love your starters. It is so good to have such a collection. We use them for all age groups and abilities. 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For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information." 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 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. 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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. 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. 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? 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 and can apply the circle theorems with this self marking exercise. Congruent Triangles: Test your understanding of the criteria for congruence of triangles with this selfmarking 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. Geometry Toolbox: Create your own dynamic geometrical diagrams using this truly amazing tool from GeoGebra. 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 interior and exterior angles of polygons. 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. 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: Use formulae to solve problems involving the volumes of cuboids, cones, pyramids, prisms and composite solids. 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. 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: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'. 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