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Congruence and Similarity

Congruence and Similarity

I've done this with middle-to higher set Year 10's. It's a lesson plan on congruent and similar triangles with an open-ended starter, including the rules of congruent triangles, the misconceptions, some exercises, how to calculate the scale factor in the similar triangles, some exercises and a good plenary testing students' understanding of the topic.
alcalamano
Enlarging Shapes on a Grid

Enlarging Shapes on a Grid

Students learn how to enlarge shapes objects on a grid using a centre and scale factor. Learning progresses from enlarging shapes to a positive scale factor to fractional scale factors. More able students are challenged to describe as well as perform enlargements by finding the centre and scale factor. The start of the lesson recaps describing translations using vectors. At the end of the lesson students are challenged to perform and describe enlargements on an isometric grid. Differentiated Learning Objectives All students should be able to enlarge an object using a positive integer scale factor and centre. Most students should be able to perform and describe an enlargement to a positive integer scale factor and centre. Some students should be able to perform and describe an enlargement to a positive fraction scale factor and centre.
Mr_Mathematics
Using Trigonometry and Similar triangles to find the distance of the stars and diameter of the Sun

Using Trigonometry and Similar triangles to find the distance of the stars and diameter of the Sun

A worksheet taking students through the parallax method of finding the distance to stars using SOHCAHTOA trigonometry and then an additional task on using similar triangles to find the diameter of the Sun. Suitable for Y9 classes onwards. The idea inspired by the nice resource from Greenwich Observatory: https://www.tes.com/teaching-resource/measuring-the-universe-ks4-11198074 - from which I used a couple of pictures. Check out this resource as well for some more ideas.
andrewchambers
Key Stage 2 CHRISTMAS NUMERACY BUNDLE

Key Stage 2 CHRISTMAS NUMERACY BUNDLE

This giant bundle of resources is everything a teacher needs in the busy Christmas period. There are a range of numeracy tasks to suit all abilities. The resources are bright, festive and fun while still covering NC requirements. They can be picked-up and put-down between other 'Christmas' activities and the children really enjoy completing them.
crigdon
CHRISTMAS 2D SHAPE - DATA PROCESSING/GATHERING

CHRISTMAS 2D SHAPE - DATA PROCESSING/GATHERING

CHRISTMAS 2D SHAPE DATA These resources have been produced to encourage pupils to recognise, locate and process a range of 2D shapes and then categorise these shapes into clear data – including TALLY CHARTS, BAR GRAPHS, CARROLL diagrams and VENN diagrams. This way of information gathering shows pupils how a range of data can be displayed. There are two sets of differentiated Data resources to process – Red Roof and Baubles. There is also a third set – Tree that requires pupils to label the charts before they enter the data. This resource is suitable for KS 2 children who are processing a range of data and have knowledge of a range of 2D shapes.
crigdon
Congruence and Similarity Math Stations

Congruence and Similarity Math Stations

These congruence and similarity math stations are perfect to help your students make sense of congruent shapes, similar shapes, translations, rotations, reflections, dilations and coordinate rules. This product includes the following math stations. • Congruent vs. Similar: Given two shapes, students will determine if the shapes are congruent, similar, or neither and justify their reasoning. • Figures and Coordinate Rules: Given two shapes, students will describe the effect of the transformation using coordinates. • Analyzing Coordinate Rules: Given coordinate rules, students will explain in writing the transformation. • Drawing Transformations: Given a figure, students will reflect, rotate, translate, and dilate the figure and write the coordinate rule for the transformation. Each station will take about 15 – 20 minutes to complete. These would also be great to use as homework, group work or assessments. A recording sheet and answer sheet are included.
micsigaran
Junior Geometry - Topics 1-10

Junior Geometry - Topics 1-10

Bringing together the 1st 10 of 20 Topics in the GetMathsFit Junior Geometry series. This is over 350 pages of worked exemplar, explanation, definition of meaning & concept, exercises and model solutions. The teaching is logical, sequential and thorough without the need to refer elsewhere. From an introduction to points, lines and angles students explore and learn further characteristics, physical skills and reasoning with plane figures, symmetry, parallel lines, Pythagoras, similarity, congruence and finally proofs and problem solving with angles and parallel lines. Use for in-class introductions, group work, plenaries and differentiation as well as a home self study, revision and reference resource.
GetMathsFit
Congruence in Geometry (Topic 7): Series of lessons, exercises & solutions.

Congruence in Geometry (Topic 7): Series of lessons, exercises & solutions.

Topic 7 of 20 in the Junior Geometry series begins by showing congruence as an exact fit and then by illustrating this as wholly equal corresponding sides and angles. The conditions for congruence and therefore proving congruence in triangles are shown by way of worked exemplars. SSS, SAS, AAS & RHS are shown in detail before their use in calculating side lengths or chord lengths is demonstrated. At each step students are given an exercise that allows self assessment and fully worked out solutions to explore any gaps in understanding. The 20 pages of illustrations, exemplars, exercises and solutions are structured sequentially making it ideal for the following: differentiation by outcome with self study in-class, small groups exploring different aspects and 'reporting back' as well as for homework setting.
GetMathsFit
Similarity in Geometry (Topic 8): Series of lessons, exercises and solutions.

Similarity in Geometry (Topic 8): Series of lessons, exercises and solutions.

Topic 8 of 20 in the Junior Geometry series begins by showing similar shapes and exploring what similarity means in maths so providing students with a definition and framework with which to work. Scale factors of enlargement are then explored by way of exemplar as well as teaching different techniques of drawing enlargements: either by using grid squares or using rays (straight lines) and the importance of the centre of enlargement. Further work demonstrating how to calculate enlargement using scale factors as well as calculating & using ratios leads students to being able to show for themselves that shapes are similar either by being equiangular or tat their sides are in proportion. The 40 pages of illustrations, exemplars, exercises and solutions are structured sequentially making it ideal for the following: differentiation by outcome with self study in-class, small groups exploring different aspects and 'reporting back' as well as for homework setting.
GetMathsFit
Congruent Triangles GCSE worksheet

Congruent Triangles GCSE worksheet

www.pinpointlearning.co.uk will take your mock QLA (Question Level Analysis) and instantly produce personalised intervention booklets for all your year 11s, thoroughly addressing each student’s individual weaknesses from each paper. The site caters for all our 9to1 papers from Edexcel, AQA and OCR, including the summer 2017 papers, practice sets and the November 2017 papers. The site also produces a combined QLA feature allowing you to see your class and student progress by topic. They will also do some of your mock analysis for you, automatically calculating grade percentages and even displaying class box plots for your department. The latest feature is access to some of our topic resources including answers, with subscribed schools having access to each and every topic. The site is free for all of your mocks so I hope you find it useful.
pinpoint_learning
Similar Shapes and Length GCSE worksheet

Similar Shapes and Length GCSE worksheet

www.pinpointlearning.co.uk will take your mock QLA (Question Level Analysis) and instantly produce personalised intervention booklets for all your year 11s, thoroughly addressing each student’s individual weaknesses from each paper. The site caters for all our 9to1 papers from Edexcel, AQA and OCR, including the summer 2017 papers, practice sets and the November 2017 papers. The site also produces a combined QLA feature allowing you to see your class and student progress by topic. They will also do some of your mock analysis for you, automatically calculating grade percentages and even displaying class box plots for your department. The latest feature is access to some of our topic resources including answers, with subscribed schools having access to each and every topic. The site is free for all of your mocks so I hope you find it useful.
pinpoint_learning