TRANSFORMATIONS Reflections Rotations Enlargements Translations.

Slides:

Advertisements

Similar presentations

L4 How many different congruent tiles can you find (needn't be letters) ? Change the outline - eg: (page of these provided) Can you describe how to transform.

Advertisements

TRANSFORMATIONS.

Transformations Moving a shape or object according to prescribed rules to a new position. USE the tracing paper provided to help you understand in the.

Symmetry 1. Line Symmetry - A shape has line symmetry if it can fold directly onto itself. - The line of folding (mirror line) is called an axis of symmetry.

Mr Barton’s Maths Notes

REFLECTIONS, ROTATIONS AND TRANSLATIONS. Reflections.

Reflection symmetry If you can draw a line through a shape so that one half is the mirror image of the other then the shape has reflection or line symmetry.

Transformations, Constructions and 3D Drawings

Transformation. A We are given a shape on the axis…shape A And we are told to move the whole shape 4 squares to the right, and 6 squares up translation.

Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

Targeting Grade C Transformations SSM2 GCSE Mathematics.

If TRANSLATION:SLIDING What is REFLECTION? flipping.

Penair School Menu x y x x - x Transformations. Penair School Menu Transformations 1. Examples of different Transformation 2. Transformation “Jungles”

1 of 66 KS4 Mathematics S6 Transformations. 2 of 66 A A A A A A Contents S6.1 Symmetry S6 Transformations S6.2 Reflection S6.3 Rotation S6.4 Translation.

Enlarge these shapes from their corresponding centres of enlargement with a scale factor of 2. What letter do you get?

 Transformations Describe the single transformation that will map triangle A onto each of the triangles B to J in turn.

Term Transformation Describe The change in the position of a geometric figure, the pre-image, that produces a new figure called the image Representation.

Transformations Objective: to develop an understanding of the four transformations. Starter – if 24 x 72 = 2016, find the value of: 1)2.8 x 72 = 2)2.8.

Rotate each shape as described in the diagram. What letter do you get?

Transformations.

8-10 Transformations Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

WHICH IS WHICH? WHAT CAN WE DO TO REMEMBER? Look at reflection, translation and rotation.

Agenda Warm Up/Reflection Questions from HW? Ch 8.8 Similarity and Dilations Making Faces Project (Due Monday)

Constructions and 3D Drawings. Constructing Perpendicular Bisectors - Perpendicular Bisectors are lines that cut each other in half at right angles.

Activation—Unit 5 Day 1 August 5 th, 2013 Draw a coordinate plane and answer the following: 1. What are the new coordinates if (2,2) moves right 3 units?

Transformations for GCSE Maths Enlargement Translation Reflection Rotation.

YEAR 11 MATHS REVISION Transformations.

TRANSFORMATION GEOMETRY

Mr Barton’s Maths Notes

TRANSLATION OF SHAPES EXAMPLES 1) 2)

The language of your Maths exam!

Translations Translations.

Transformations Learning Target: I will be able to translate, reflect, rotate, and dilate figures.

Transformations Draw and label axes from 0 to +10 on square paper

Transformations for GCSE Maths

VECTORS INTRODUCTION Left 3 and down 2 is written as

Translations Translations.

Transformations for GCSE Maths

Transformations y - x x x x.

Enlargements Enlargements.

ROTATIONS INTRODUCTION ROTATION Turns a shape about a fixed point

Transformations for GCSE Maths

Maths Unit 12 – Transformations

Transformations I can translate an object

Transformations.

Enlargements Enlargements.

Unit 37 Further Transformations

Mr Barton’s Maths Notes

Starter B C D A Follow the instructions on the starter sheet to transform this trapezium in a variety of ways.

Translations Translations.

Transformations.

Transformations – Combinations – Worksheet B

Translations Translations.

The Isometric Grid. Page 21. The Isometric Grid. Page 21.

Maths Unit 10 (F) – Transformations

Presentation transcript:

TRANSFORMATIONS Reflections Rotations Enlargements Translations

Vectors Vectors

Vectors Left 3 and down 2 is written as Right 2 and up 3 can be written as Up 3 is written as Right 4 is written as

Vectors What does this vector tell you? The top number tells you how many squares across you go (positive for right, negative for left) The bottom number tells you how many squares up or down you go (positive for up, negative for down) What does this vector tell you?

Vectors Vectors can be used to describe translations – that is, when a shape is moved in a straight line without reflecting or rotating.

Translations Translations

Translate the shapes by the corresponding vector to form a letter Translate the shapes by the corresponding vector to form a letter. Which letter is it?

Translate the shapes by the corresponding vector to form a letter Translate the shapes by the corresponding vector to form a letter. Which letter is it?

Translate the shapes by the corresponding vector to form a letter Translate the shapes by the corresponding vector to form a letter. Which letter is it?

Translate the shapes by the corresponding vector to form a letter Translate the shapes by the corresponding vector to form a letter. Which letter is it?

Reflections

What letter would you get if you reflected each shape in its corresponding mirror line?

What letter would you get if you reflected each shape in its corresponding mirror line?

What letter would you get if you reflected each shape in its corresponding mirror line?

What letter would you get if you reflected each shape in its corresponding mirror line?

What letter would you get if you reflected each shape in its corresponding mirror line?

What letter would you get if you reflected each shape in its corresponding mirror line?

Rotations

Rotate each shape as described in the diagram. What letter do you get?

Rotate each shape as described in the diagram. What letter do you get?

Rotate each shape as described in the diagram. What letter do you get?

Rotate each shape as described in the diagram. What letter do you get?

Enlargements Enlargements

Enlarge these shapes from their corresponding centres of enlargement with a scale factor of 2. What letter do you get?

Enlarge these shapes from their corresponding centres of enlargement with a scale factor of 2. What letter do you get?

Enlarge these shapes from their corresponding centres of enlargement with a scale factor of 2. What letter do you get?

Enlarge these shapes from their corresponding centres of enlargement with a scale factor of 2. What letter do you get?

Now it’s your turn… On your worksheet, translate every shape in by the vector attached to it. Use tracing paper to help you. All the shapes should fit together to form a word. Draw in pencil in case you make any mistakes. Count carefully!

e.g.

Now it’s your turn… On your worksheet, reflect every shape in the corresponding mirror line. Use tracing paper to help you. All the shapes should fit together to form a word. Draw in pencil in case you make any mistakes.

e.g.

Now it’s your turn… On your worksheet, rotate every shape according to the instructions on the shape. Not every point is used. Use tracing paper to help you. All the shapes should fit together to form a word. Draw in pencil in case you make any mistakes. Please note – direction is not important if the angle is 1800.

e.g.

Now it’s your turn… On your worksheet, enlarge every shape according to the instructions on the shape. (sf stands for scale factor) All the shapes should fit together to form a word. Draw in pencil in case you make any mistakes. Leave the negative scale factors until the end.

e.g. Leave until the end Leave until the end