MURRIO. Our game manufacturers are designing a 9 hole golf course based on the mathematical principles of transformations, but we need your help putting.

Slides:

Advertisements

Similar presentations

Level 4/5 Booster Lesson 10B Transformations.

Advertisements

Math 10F Transformational Geometry Examples. Translations Translations are “slides” Described by a length and direction Eg. translate the following shape.

Rotation Reflection Translation.

Warm up Write the rule for translating left 4 units and up 6 units.

TRANSFORMATIONS.

Warm up 1.A function is even. Point A(-3, 4) is on the even function. Name another point. 2.A function is even. Point B(9, 2) is on the even function.

W arm UP Translate (x – 9, y + 8) 1.B (-9, 12) 2.A (-12, -4) 3.T (22, -19) B’ (-18, 20) A’ (-21, 4) T’ (13, -11)

Objective: Given a starting location, SWBAT apply multiple translations, reflections and rotations to find Waldo’s location. Where’s Waldo?

TRANSFORMATIONS Reflections Rotations Enlargements Translations.

Lesson Rotations Standard G.2.4.

REFLECTIONS, ROTATIONS AND TRANSLATIONS. Reflections.

Geopardy Translations Dilations Reflections Transformations RotationsSymmetry Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final.

Section 3.2 Notes Writing the equation of a function given the transformations to a parent function.

Geometry Never, never, never give up. Winston Churchill Today:  9.4 Instruction  Practice.

5-1: Transformations English Casbarro Unit 5.

Reflections 30 Reflect across y=x (x,y)  (y,x) Reflect across x-axis (x,y)  (x,-y) Reflect across y-axis (x,y)  (-x,y) Reflect across y=x Reflect across.

Transformation a change of position, shape or size of a figure Three types of transformation A slide called a translation A flip, called a reflection The.

If TRANSLATION:SLIDING What is REFLECTION? flipping.

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

© Daniel Holloway. Transforming graphs is not too dissimilar from transforming shapes. Whereas you can translate, rotate, reflect and enlarge shapes;

Transformations Day 1: Graphing. Vocabulary Transformations – mapping of a figure on the coordinate plane. 1) Reflection: Mirror image x-axis (x,y) →(x,-y)

Section 9.5. Composition of Transformations When two or more transformations are combined to form a single transformation, the result is a composition.

Transformations. Let's Review!!!! Pull Touch the question to reveal the answer. Pull hands to view examples.

MOAT GAME Coordinate Transformations. Coordinate Transformations MOAT game Groups of “3” Write answer on white board and send one “runner” to stand facing.

a≠0, b>0,b≠1, xєR Exponential Growth Exponential Decay (0,a) b > 1, b = _______________ a = __________________ H. Asymptote: y = ______ 0 < b < 1, b =

Transformations of Geometric Figures Dr. Shildneck Fall, 2015.

Objective: Students will be able to represent translations, dilations, reflections and rotations with matrices.

Unit 1: Transformations, Congruence, and Similarity.

Translations Translations maintain Same Size Same Shape

TEST TOMORROW: TRANSFORMATIONS and what’s preserved Translation, Rotation(90,180,270), Reflection(y axis, x axis, orgin, y=x and y= -x, Dilation, Compositions.

Properties or Rules of Transformations Equations used to find new locations.

Transformations of Quadratic Functions Section 2.1 beginning on page 48.

EQ: How can transformations effect the graph a parent function? I will describe how transformations effect the graph of a parent function.

1.8 Glide Reflections and Compositions Warm Up Determine the coordinates of the image of P(4, –7) under each transformation. 1. a translation 3 units left.

Warm up Translate (x – 9, y + 8) 1.B (-9, 12) 2.A (-12, -4) 3.T (22, -19) B’ (-18, 20) A’ (-21, 4) T’ (13, -11)

Transformations Review M7G2: Students will demonstrate understanding of dilations, translations, rotations, and reflections of figures.

Perform Congruence Transformations. Transformations: when you move or change a geometric figure in some way to produce a new figure. Image is what the.

Go Back > Question 1 Describe this transformation. A reflection in the line y = x. ? Object Image.

Baking Bad – Season 4 The story of a desperate Food Technology teacher…

Mathematical Studies for the IB Diploma © Hodder Education General equation of the sine function.

Transformations for GCSE Maths Enlargement Translation Reflection Rotation.

By Satendra Pratap Singh. Brain storming What is a transformation??? In mathematics, a transformation in elementary terms is any of a variety of different.

Unit 5 Transformations in the Coordinate Plane. Translations.

YEAR 11 MATHS REVISION Transformations.

6.03. Do Now – Translate! The position of a box of cookies on a table is represented by the points (-2, 4) (-3, -1) (0, -2) and (1, 3). If the box is.

Rotation © T Madas.

Introduction to transformations

Warm up Reflect the figure ABCD across the line y=x. List the new coordinates of the points A’B’C’D’.

Rotate the triangle, 900 clockwise, about the centre of rotation.

How to transform a shape with a rotation

Unit 1 Transformations in the Coordinate Plane

Transformations for GCSE Maths

Review for Quiz Transformations.

Identify Which Combination of Transformations took place

Transformations for GCSE Maths

Rotate Around (0,0) By 180 Stretch Scale factor ½ In x and y directions Stretch Scale factor 2 In x and y directions Reflect In line y=x Stretch Scale.

Transformations –Translation

ROTATIONS INTRODUCTION ROTATION Turns a shape about a fixed point

Transformations my dear Watson.

Properties or Rules of Transformations

Unit 1 Transformations in the Coordinate Plane

Transformations.

Transformations Review

Unit 1 Transformations in the Coordinate Plane

Unit 37 Further Transformations

Transformations –Translation, Reflection, Rotation and Dilations

Transformations – Combinations – Worksheet B

Transformations – Mixed – Higher – Relay Race

Presentation transcript:

MURRIO

Our game manufacturers are designing a 9 hole golf course based on the mathematical principles of transformations, but we need your help putting in the bunkers and water hazards, which will be mathematical shapes. Each hole has instructions from the designers about what they want the hole to look like, so can you please follow them just to reassure the designers that they have got it right?

Water hazard Bunker Hole 1 Instructions for Hole 1: Reflect the bunker in the x-axis. Rotate the water hazard 180 o, centre (0,0).

Hole 2 Water hazard Bunker Instructions for Hole 2: Rotate the bunker 90 o anti- clockwise, centre (0,0). Reflect the water hazard in the y-axis.

Hole 3 Water hazard Bunker Instructions for Hole 3: Reflect the bunker in the y-axis. Translate the water hazard in the vector ( )

Hole 4 Water hazard Bunker Instructions for Hole 4: Reflect the bunker in the y=2 line. Reflect the water hazard in the x=-1 line.

Water hazard Bunker Hole 5 Instructions for Hole 5: Rotate the bunker 90 0 anti- clockwise, centre (1,4). Reflect the water hazard in the x=-3 line.

Hole 6 Water hazard Bunker Instructions for Hole 6: Reflect the bunker in the y=-2 line. Translate the water hazard in the vector ( ) 1616

Hole 7 Water hazard Bunker Instructions for Hole 7: Rotate the bunker 180 o, centre (- 1,-2). Reflect the water hazard in the x=-1 line.

Hole 8 Water hazard Bunker Instructions for Hole 8: Translate the bunker in the vector ( ). Reflect the water hazard in the y=x line. 2 -3

Hole 9 Water hazard Bunker Instructions for Hole 9: Rotate the bunker 90 o anti- clockwise, centre (4,2). Reflect the water hazard in the y=1 line.

Thanks for all your help! Here are the answers...

Water hazard Bunker Hole 1 Instructions for Hole 1: Reflect the bunker in the x-axis. Rotate the water hazard 180 o, centre (0,0).

Hole 2 Water hazard Bunker Instructions for Hole 2: Rotate the bunker 90 o anti- clockwise, centre (0,0). Reflect the water hazard in the y-axis.

Hole 3 Water hazard Bunker Instructions for Hole 3: Reflect the bunker in the y-axis. Translate the water hazard in the vector ( )

Hole 4 Water hazard Bunker Instructions for Hole 4: Reflect the bunker in the y=2 line. Reflect the water hazard in the x=-1 line.

Water hazard Bunker Hole 5 Instructions for Hole 5: Rotate the bunker 90 0 anti- clockwise, centre (1,4). Reflect the water hazard in the x=-3 line.

Hole 6 Water hazard Bunker Instructions for Hole 6: Reflect the bunker in the y=-2 line. Translate the water hazard in the vector ( ) 1616

Hole 7 Water hazard Bunker Instructions for Hole 7: Rotate the bunker 180 o, centre (- 1,-2). Reflect the water hazard in the x=-1 line.

Hole 8 Water hazard Bunker Instructions for Hole 8: Translate the bunker in the vector ( ). Reflect the water hazard in the y=x line. 2 -3

Hole 9 Water hazard Bunker Instructions for Hole 9: Rotate the bunker 90 o anti- clockwise, centre (4,2). Reflect the water hazard in the y=1 line.

Play Ball!