Area 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! 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. Quad Areas: Calculate the areas of all the possible quadrilaterals that can be constructed by joining together dots on this grid.
Small images of these Starters :: Index of Starters Area Advanced Starters:Square in Rectangle: Find the area of a square drawn under the diagonal of a rectangle SuggestedArea and Perimeter of a Rectangle Questions on the areas and perimeters of rectangles which will test your problem solving abilities.
Curriculum for Area:Year 5Pupils should be taught to calculate and compare the area of rectangles (including squares), and including using standard units, square centimetres (cm2) and square metres (m2) and estimate the area of irregular shapes more... Year 6Pupils 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... Pupils should be taught to calculate the area of parallelograms and triangles more... Years 7 to 9Pupils 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... Years 10 and 11Pupils should be taught to calculate arc lengths, angles and areas of sectors of circles more... Pupils should be taught to calculate surface areas and volumes of spheres, pyramids, cones and composite solids more... Pupils should be taught to {know and apply Area = ½ ab sin C to calculate the area, sides or angles of any triangle} more... Feedback: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 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. Have particularly enjoyed KIM's game, as we have not used that for Mathematics before. 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The range of questioning provided is excellent as are some of the images. 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. 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 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." 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The variety of material is interesting and exciting and always engages the teacher and pupils. Keep them coming please." 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 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 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. 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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:Pupils should not only be able to remember and apply area formulae but they should also have a good understanding of what area means. This can be achieved by beginning the study of area with plenty of practical examples. The Pin Board provides an open-ended interactive experimental environment to secure a good fundamental understanding of area. Area Teacher Resources:Pin Board: Rows and columns of dots that can be joined using straight lines to create shapes. Area Activities: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 of a Triangle: Calculate the areas of the given triangles in this self marking quiz. Area and Perimeter of a Parallelogram: Many different ways to practise your skills finding the areas and perimeters of parallelograms. Area and Perimeter of a Kite: A short exercise to practise using the formulae for area and perimeter of a kite. Area of a Trapezium: Check that you can find the area of a trapezium and use the trapezium area formula for problem solving. Area and Perimeter: Show that you know the area and perimeter formulas of basic shapes. Area Maze: Use your knowledge of rectangle areas to calculate the missing measurement of these composite diagrams. 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? Area Wall Puzzles: Divide the grid into rectangular pieces so that the area of each piece is the same as the number it contains. Quad Areas: Calculate the areas of all the possible quadrilaterals that can be constructed by joining together dots on this grid. Circles: Practise using pi to calculate various circle measurements. There are six levels of difficulty. Areas of Composite Shapes: Find the areas of combined (composite) shapes made up of one or more simple polygons and circles. Formulae Pairs: Find the matching pairs of diagrams and formulae for basic geometrical shapes. Similar Shapes: Questions about the scale factors of lengths, areas and volumes of similar shapes. Surface Area: Work out the surface areas of common solid shapes in this collection of exercises. Area Investigations:Area Builder: An interactive workspace in which to make shapes using square tiles with given areas and perimeters. Polygon Areas: Investigate which polygons have an area of 4 square units on this interactive dotty grid. Area shapes: Investigate polygons with an area of 4 square units. This is your starting point, you can decide how to proceed. 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? Area Videos:Area And Perimeter Video: Calculate and solve problems involving perimeter and area of rectangles, triangles, parallelograms, trapezia, kites and composite shapes. Parallelogram: Instructional video showing how the area of a parallelogram can be determined. Circle Facts Song: A free trial lesson from Math Upgrade dot com. Circles Area and Circumference Video: The circumference and area of a circle can be found if the radius or diameter are known. Surface Area Video: Finding the surface are of three dimensional shapes can involve some interesting formulae. The Infinite Chocolate Bar: A visual riddle! Can you explain? Area External Links:Links to other websites containing resources for Area 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: SearchThe activity you are looking for may have been classified in a different way from the way you were expecting. You can search the whole of Transum Maths by using the box below.
OtherIs there anything you would have a regular use for that we don't feature here? Please let us know. SuggestedSurface Area Work out the surface areas of common solid shapes in this collection of exercises.
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