Rotations.

Slides:



Advertisements
Similar presentations
The distance from the center to any point on the shape stays the same.
Advertisements

Warm up Write the rule for translating left 4 units and up 6 units.
Transformations on a Coordinate Plane. TransformationsTransformations TypeDiagram A translation moves a figure left, right, up, or down A reflection moves.
Do Now:.
Rotations. Rotate 90  Clockwise about the Origin (Same as 270  Counterclockwise) Change the sign of x and switch the order.
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)
Warm Up Draw an example of a reflection: Draw an example of a figure that has one or more lines of symmetry: Find the new coordinates of the image after.
EXAMPLE 2 Rotating 90 Clockwise Rotate quadrilateral FGHJ 90 clockwise. SOLUTION OriginalImage (x, y) F (2, 2) G (2, 4) H (4, 4) J (5, 2) (x, –y) F ’(2,
Blue Day – 1/16/2015 Gold Day – 1/20/2015.  Friday, 1/16/2015 is the last day of schedule changes  Monday, 1/19/2015 is a student holiday.  Transformations.
Objective: Given a starting location, SWBAT apply multiple translations, reflections and rotations to find Waldo’s location. Where’s Waldo?
Lesson Rotations Standard G.2.4.
4-1.  Thinking about angles differently:  Rotating a ray to create an angle  Initial side - where we start  Terminal side - where we stop.
Draw rotations in the coordinate plane.
Rotations. Graph the following coordinates, then connect the dots (2, 1) (4,1) (2, 5) X y Rotate the triangle 90° clockwise about the origin and graph.
Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.
7.1 Angles & Triangles. Angles Positive Angle Counterclockwise rotation Negative Angle Clockwise rotation  
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.
Transformations on the Coordinate Plane: Translations and Rotations.
More Trig – Angles of Rotation Learning Objective: To find coterminal and reference angles and the trig function values of angles in standard position.
Rotation Around a Point. A Rotation is… A rotation is a transformation that turns a figure around a fixed point called the center of rotation. A rotation.
Rotations Rotate 180° about point PRotate 90° clockwise about point P Example P P.
Rotation – A circular movement around a fixed point Rotation.
Rotations on the Coordinate Plane. Horizontal- left and right.
Problem of the Day 1.) Graph triangle ABC
Warm up – Solve by Taking Roots. Warm up – Solve by Completing the Square.
Homework Log Fri 2/12 Lesson 7 – 1 Learning Objective: To find angle measurements Hw: #701 Pg. 385 #1 – 39 odd.
Review Homework. EOC Review Question of the Day Reflections.
Measures of Angles and Rotations. Vocabulary Degrees  360 degrees makes a full circle  270 degrees makes a three quarter circle  180 degrees makes.
REVIEW OF MAPPING RULES
7.6 Rotations & Rotational
Find the coordinates of A(3, 2) reflected across the x-axis.
11.4 Rotations 1/12/17.
Multiplying Integers 2*2=.
Find the coordinates of A(3, 2) reflected across the x-axis.
Find the coordinates of A(3, 2) reflected in the line y = 1.
I can draw rotations in the coordinate plane.
Unit 1 Transformations in the Coordinate Plane
Fill out Translations Portion of Foldable!
Find the coordinates of A(3, 2) reflected across the x-axis.
Rotations Unit 10 Notes.
Warm up A function is even. Point A(-3, 4) is on the even function. Name another point. A function is even. Point B(9, 2) is on the even function.
Unit 1 – Day 3 Rotations.
Reflections.
Success Starter for 8/23/17 Rotate A(12, -4) 180 degrees.
9-3 Rotations on the Coordinate Plane
Bellwork~Simplify 1.) 90 2.) 32 3.) 45 4.) 162.
Bell Ringer What is R’ ? What is S ’ ? What is T ’ ? What is V ’ ?
Warm up Reflect C(-5, -3) over the y-axis.
Warm up Write a description of the rule . (x, y) → (x +7, y – 4)
Rotation.
Transformations with Matrices
Rotations.
Section 4.3 Rotations Student Learning Goal: Students will identify what a rotation is and then graph a rotation of 90, 180 or 270 degrees on a coordinate.
Bell Ringer What is R’ ? What is S ’ ? What is T ’ ? What is V ’ ?
9-3 Rotations on the Coordinate Plane
Unit 1: Transformations in the Coordinate Plane
Lesson Rotations Standard G.2.4.
Warm-Ups A _____________ is a change in a figure’s position or size
A rotation has to have three elements…
Transformations.
Rotations.
Warm up B’ (-18, 20) A’ (-21, 4) T’ (13, -11)
A rotation has to have three elements…
Rotations Day 120 Learning Target:
Let’s start an intro unit to Geometry!!
TRANSLATE Horizontally -5
Rotations.
Solve by Substitution 2x + y = 7 3x + 3y = - 3.
Trashketball EOCT Review Unit 5.
Presentation transcript:

Rotations

What do we mean by rotation?

Rotations 90,180, 270

Rotate 90 Clockwise about the Origin (Same as 270 Counterclockwise) Change the sign of x and switch the order

Rotate 90° clockwise about the origin

Rotate 90° clockwise about the origin

Rotate 90 Counterclockwise about the Origin (Same as 270 Clockwise) Change the sign of y and switch the order

Rotate 90° counterclockwise about the origin

Rotate 90° counterclockwise about the origin

Rotate 180 about the Origin ONLY Change the signs

Rotate 180° about the origin

Rotate 180° about the origin

Rotations Practice Worksheet Classwork Rotations Practice Worksheet

Rotations HW Worksheet Homework Rotations HW Worksheet