# Geometry and measures teaching resources: Similarity and congruency

Resources and ideas for mathematics, geometry and measures, similarity and congruency, written by teachers to support teaching and learning

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#### Pattern Blocks Chapter 3 - Geometry

Years of research on how children learn has shown that the use of manipulatives such as pattern blocks is a powerful tool for developing conceptual understanding of mathematics.Students enjoy working with pattern blocks when they have been allowed time for free explorations. What seems like play to adults is an important part of building confidence and motivation in children.Using Root 7’s Pattern Block resources enables students to be:• Actively involved in doing math, which motivates them and builds confidence. • Provided with excellent opportunities to work together, discuss mathematical ideas, and verbalize their thinking.• Given concrete representations of mathematical ideas, thus providing a visual model to refer to.• Provided with Extra Practice questions to extend and reinforce their knowledge and understanding.How to use• Assign one or more Activity questions to each student and allow them to work individually, in pairs or in groups• Observe the students as they work and ask questions, or ask them to explain their work, to ensure they understand the mathematics• Ensure they record their work as this helps them clarify their thinking and reinforce their understanding.• The More Practice questions are important as they are designed to make the connection from “Hands-on” to “paper and pencil” ie from the concrete to the more abstract symbolic representation.The activities in Chapter 3: Geometry helps students increase their knowledge and understanding of various concepts of Geometry including, properties of shapes, congruence, similarity, and symmetry.Each unit includes Teacher Notes and Answers.
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#### Geometry/Shape Bundle 20% off

Angles in a Triangle, Area of rectangles, triangles, trigonometry inc sine,/cosine/area/segments. Volume of cones/spheres ect, similar shapes/area/volume. All fully differentiated and suitable for new curriculum with plenty of problem solving, reasoning ect. Soltions for all tasks included.

#### Kandinsky Art maths lesson

Meets the objective of drawing lines, 2D shapes and various angles. Includes ppt, pictures to use as examples and differentiated activity sheets.

#### Area and Volume of Similar Shapes

A complete lesson worksheet and starter activity for students to discover the link between length scale factor and the area/volume of similar shapes and/or solids. Could be split into Area for one lesson and then volume for the second.

#### 300 generic activities. Create lessons in seconds!

Create lessons in seconds with this HUGE PowerPoint of animated lesson activities. There are HUNDREDS of templates that you can over-type in seconds to create engaging lesson material. Highly praised by John Simpkin of Spartacus Educational and Mark Warner of Teaching Ideas. I am very confident you will like this. If you do, please click on my profile to see my other popular resources. Thanks(This file also has a bank of PowerPoint timers - it's the most useful planning tool ever!) The size of the file should show you how much stuff there is! Without sounding overly confident - it's the best resource out there!Many thanksCopyright T.TaylorNOTE: Following its success in the summer sale, I have decided to keep the sale price - so grab a bargain! Used to be £5. Many thanks.

#### Similar Shapes

This is a series of lessons (2-3) on finding missing dimensions using similar shapes. It includes to basics of two separate shapes, it also has tasks on a 'triangle within a triangle' ect which will challenge the more able pupils. It then has problem solving tasks which are suitable for the new curriculum and has algebraic problems to stretch and challenge the more able learners.All tasks are differentiated, 2-4 levels for each task to make it accessible to all pupils but also to stretch the more able. All tasks have full solutions to it is easy to peer and self assess during the lesson. The lesson includes reasoning and problem solving tasks which ensure that this is suitable for the 9-1 GCSE curriculum. I have used this lesson and pupils were engaged yet challenged.
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#### Construction Triangles GCSE Revision

There is Video Animation showing how to construct Triangle for the following conditions:1) When 3 sides are given. 2) When 2 sides and 1 angle are given. 3) When 1 side and 2 angles are given. Includes 3 Tasks for students to complete. Includes a Demonstration TOOL so you can show how to construct or get students to come to the board. The Tool is equipped with Rule, Compass and Protractor, very easy to use.

#### Similar Area/Volume

A series of lessons (2-3) on using similarity to find areas and volumes. The lesson has 2 RAG sheets on area and volume which are differentiated to 3 levels. The lesson also includes problem solving tasks such as algebra, finding different scale factors and using them accordingly to find missing lengths, areas and volumes. Used on top set year 11 and all were engaged and challenged All tasks are differentiated, 2-4 levels for each task to make it accessible to all pupils but also to stretch the more able. All tasks have full solutions to it is easy to peer and self assess during the lesson. The lesson includes reasoning and problem solving tasks which ensure that this is suitable for the 9-1 GCSE curriculum. I have used this lesson and pupils were engaged yet challenged.
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#### Area of Similar Shapes and Area Scale Factor

Students learn how to calculate areas of similar shapes using the area scale factor. As learning progresses students begin to calculate unknown lengths using the area scale factor.Differentiated Learning ObjectivesAll students should be able to calculate the area scale factor as the square of the length scale factor.Most students should be able to determine and apply the area scale factor to calculate unknown areas.Some students should be able to determine and apply the area scale factor to calculate unknown areas and lengths.Check out my blog at mr-mathematics.com for:* Fully planned and differentiated maths lessons for KS3 and GCSE grades 1 - 9.* Schemes of work based on pedagogy and teacher support.
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#### Similar Shapes - Problems with Length, Area and Volume Scale Factors

Students learn about the relationship between the length, area and volume scale factors of similar shapes. As learning progresses they apply these relationships to calculate missing dimensions for a range of 2D and 3D shapes.Differentiated Learning ObjectivesAll students should be able to use the length and volume scale factors in similar 3D shapes.Most students should be able to use the length, area and volume scale factors in any similar 2D or 3D shape.Some students should be able to use the length, area and volume scale factors in any similar 2D or 3D shape with algebraic dimensions.Check out my blog at mr-mathematics.com for:* Fully planned and differentiated maths lessons for KS3 and GCSE grades 1 - 9.* Schemes of work based on pedagogy and teacher support.
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#### Congruence and Understanding Congruent Shapes

Students learn how to recognise and prove congruency using various angle properties and geometrical facts. As learning progresses they consider the difference between similarity and congruence.Differentiated Learning ObjectivesAll students should be able to understand that congruent shapes have equal angles and lengths.Most students should be able to recognise SSS, SAS, ASA properties to prove congruency.Some students should be able to show congruency through reasoned algebraic proof.Check out my blog at mr-mathematics.com for:* Fully planned and differentiated maths lessons for KS3 and GCSE grades 1 - 9.* Schemes of work based on pedagogy and teacher support.
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#### GCSE Transformations - Negative Scale Factor Enlargements

Students learn how to perform enlargements for negative scale factors. As learning progresses they are challenged to find the centre of enlargement and negative scale factor.Differentiated Learning ObjectivesAll students should be able to enlarge an object by a negative integer scale factor and centre.Most students should be able to enlarge an object by a negative scale factor and centre.Some students should be able to perform and describe enlargements using a negative scale factor.Check out my blog at mr-mathematics.com for:* Fully planned and differentiated maths lessons for KS3 and GCSE grades 1 - 9.* Schemes of work based on pedagogy and teacher support.
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#### Volume of Similar Shapes and Volume Scale Factor

Students learn how to calculate the volume scale factor from similar solids to calculate a capacity. As learning progresses they are challenged to find the length and area ratios using the volume scale factor.Differentiated Learning ObjectivesAll students should be able to calculate the volume scale factor given two corresponding lengths in similar solids.Most students should be able to derive and apply the volume scale factor to calculate unknown volumes in similar solidsSome students should be able to derive and apply the volume and length scale factors to calculate unknown measurements in solid shapes.Check out my blog at mr-mathematics.com for:* Fully planned and differentiated maths lessons for KS3 and GCSE grades 1 - 9.* Schemes of work based on pedagogy and teacher support.
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#### Miscellaneous Bundle 3

Another mix of resources.
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#### New GCSE Maths 9-1 Higher Revision Pack With Solutions- Target Grade 7 "one-page wonder"

New for 2017! A pack of 5 Revision sheets/tests for the new Higher GCSE 9-1.Each one contains 30 different questions based on the specifications for the new GCSE, all fitted onto one double sided A4 sheet. Great for keeping photocopying down whilst practicing loads of exam style questions!Topics covered include those new to the Higher curriculum, and are aimed at students targeting grade 7. Great as mixed topic revision for Higher students. Solutions are also included. There is a record sheet (which can be used as a revision list) for each pupil to record their score after each attempt and try to beat it the next time! Each worksheet has similar questions &amp; key skills but with new examples each time in order for students to build confidence, fluency, and consolidate their learning. Answers for all questions are provided, ideal for revision. (PDF files)
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#### Shape Space GCSE Revision

Over £33 pounds resources at a crazy price. SPECIAL PRICE TODAY ONLY! This contains 12 resources, the resources are mainly some of best animated graphics you would have seen for these topics. The animations allow you to take control and ensure students understand. Example the Pythagoras tool has a 3D Pythagoras animation which shows where the right angle triangle is located using colour. These at the moment are at a special discounted price, they will not remain at this price for very long. 1. Pythagoras Great Animation TOOL to assist you teaching Pythagoras. 2. Plans and Elevation Animation TOOL to assist you teaching Plans and Elevation. 3. Surface Area Animation Tool to assist you teaching Surface Area. 4. Reading the Clock Digital and Analogue TOOL. 5. Trigonometry 6. Advanced Trigonometry 7. Construction Tools 8. Symmetry Tools

#### Free Massive Maths Revision Powerpoint KS3 GCSE. Over 100 Slides & 10'000 Questions

A huge revision PowerPoint with topics from KS3 (11-14 year olds) to KS4 (GCSE) inspired by ben coopers original resource (link in the ppt) Over 100 slides, over 10’000 questions (with answers). I've also created black &amp; white worksheets that can be distributed to your students (answers removed of course).Topics include; fractions, decimals percentages, transformations, trigonometry, area, angles, construction, equations, quadratics, sequences, graphs, sampling, probability and many more.Also check out our accompanying KS3 Maths bumper Homework booklet containing a years worth of maths homework. https://www.tes.co.uk/teaching-resource/ks3-bumper-maths-homework-megapack-1-years-worth-of-homework-11067720 Hope you find this as useful as I did, &amp; if you did please make our day by leaving us a comment or rating. Much appreciated.Enjoy

#### Differentiated Scale factors sheets

Differentiated 3 ways. Includes reasoning questions
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#### NEW GCSE 9-1 Maths revision packs bundle including extension

20% off! Contains 3 revision packs for the new GCSE 9-1 with worked solutions, aimed at grade 5, grade 7 and grade 8/9.

#### SIMILAR SHAPES : Length, Area, Volume Ratios

These 5 worksheets help to explain the effects of enlargement on the area and volume of a shape by looking at the length, area and volume ratios. This is an important topic that is often found difficult by many students.There are three basic worksheets introducing the idea then two pages of harder word problems for extension work. The first worksheet lets students calculate the surface area and volume of simple 1cm and 2cm cubes so they can create the ratios themselves and see how the area and volume ratios derive from the length ratio. Sheets 2 and 3 require students to use the relationships between the ratios to calculate missing areas and volumes.The two word problem sheets are similar to GCSE 9-1 exam questions.For more resources like this please visit the SKILLSHEETS Shop

#### Drill Questions : Reflections

The Drill Questions series is intended to provide material for the practice of common mathematical skills. This secured eBook contains ten worksheets which simultaneously practises plotting points and reading co-ordinates with naming quadrilaterals and reflecting them in all four quadrants.Solutions are provided, so the questions can be self or peer assessed and pupils can track their progress.
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#### Trigonometry GCSE Revision

Trigonometry Revision SINE COSINE and TANGENT Ratio Right Angle Triangle Revision. In detail step by step answers. Very Visual and engaging. Great for whole lesson or quick fire revision. Working out missing length / side/ angle for a right angle triangle. Excellent Demonstration Videos', there is one for 3D Trigonometry as well. Comprehensive explanations on SIN / COS/ TAN Ratios being used for side / length and Angle. Comes with solutions / answers. Has 'spot the wrong answer' questions to draw out deeper understanding.Trigonometry SOH CAH TOA.
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#### Construction GCSE Revision

Construction -Very easy to use, fantastic Animations to show the Drawing of an Angle, Bisecting a Line or Bisecting an Angle. Video Animation Shows how to complete:1. Drawing an Angle2. Bisecting a Line.3. Bisecting an Angle.There is 4 Tasks for students to complete. There is a Demonstration TOOL for you to demo or for Students to come to the board and try, very easy to use. This is perfect if you do not have compasses or you got that manic class that you do not any where near compasses.Great for quick fire revision or demonstration. YOU WILL LOVE THE TOOL.
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#### Symmetry Lines Reflection GCSE Revision / Activities

This resource contains 1 very easy to use video Animation explaining Lines of Symmetry. There is 2 Fantastic Graphical TOOLs to explain what symmetry is, you can even ask students to come up to the board and complete shapes to ensure there is symmetry and then at a touch of a button check if it works. Great for understanding!Great for revision or quick for revision.
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#### Planes of Symmetry Reflection GCSE Revision

Contains 2 Fantastic Video Animations on Planes of Symmetry. First Animation allows you to explore with students what planes of symmetry are. There are 2 worksheets with answers on students writing down how many planes of symmetry are there for each shape. The second Animation gives answers for all shapes using animations shows where each plane is. Great for teaching, a must for teaching of this topic.Great for quick fore revision or whole lesson as the lesson is very detailed.
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#### Symmetry - Order of Rotational / Reflection or GCSE Revision

This contains 2 Fantastic Video Animations. First Animation is an introduction to Rotational Symmetry, showing and explaining what it is, and how many there are on several 2D Shapes. Questions to check students understanding of Order of Rotational Symmetry. The second animation contains 6 shapes that you or students can come to the board to rotate and find out what the order of rotational symmetry there is.Great for quick fire revision or whole lesson.

#### Symmetry - Differentiated Patterns

I used these worksheets in Year 4 and the children moved through them at their own pace during the lesson starting with the first sheet. The third activity is quite difficult (two examples in the picture) so even the most able might need to start with the second sheet first. The last sheet is just blank for the children to fill in for each other in pairs if they've blasted through the other three!Thanks for looking! Please have a peak at my other items for sale in my TES shop :) https://www.tes.com/teaching-resources/shop/HanMade

#### Similarity and Congruence KS4

A Powerpoint to explain Similarity and Congruence. This powerpoint has 7 slides (Including one title and one end slide). Designed for KS4 / GCSE.
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#### Everything Bundle Part 3 of 3 (Contains Most Recent Resources)

Over £50 Pounds worth of Resources for a crazy price, SPECIAL OFFER TODAY ONLY. 20 Resources. Over 40 Lessons worth of resources. Each lesson being 50 minutes worth. Great for whole lesson or quick fire revision. You are guaranteed to be happy with what you are buying. Great bargain !!! Please look at each resource individually for details.