STRETCHING AND SHRINKING UNIT (SS)

Slides:

Advertisements

Similar presentations

12.6 Rotations and Symmetry Rotation- a transformation in which a figure is turned around a point Center of rotation- the point the figure is rotated around.

Advertisements

Clusters: 1. Understand similarity in terms of similarity transformations 2. Prove theorems involving similarity. 3. Define trigonometric ratios and solve.

Similar and Congruent Figures. Similar figures have the same shape, but not the same size. They must have the same ratio of side lengths Congruent figures.

Investigation 4 Dilations and Similar Figures

A B CA’ B’ C’ Similar Shapes The following diagram shows an enlargement by a scale factor 3 of triangle ABC Note Each length on the enlargement A’B’C’

Dilations Section 9.7. Dilation A dilation is a transformation that stretches or shrinks a figure to create a similar figure. A dilation is not an isometry.

Figures & Transformations By: Ms. Williams. Congruent Figures 1. Name 2 corresponding sides and 2 corresponding angles of the figure. y.

Objectives Define and draw lines of symmetry Define and draw dilations.

An operation that moves or changes a geometric figure (a preimage) in some way to produce a new figure (an image). Congruence transformations – Changes.

Stretching and Shrinking

Similar Figures and Scale Drawings

Lesson Plan for SS 1.1 (50 minutes): Target: I can compare measurements in similar figures. 8 minutesWarm-up: 10 minutesClasswork: Intro to new unit 1.1.

I can use proportions to find missing lengths in similar figures.

EXAMPLE 1 Draw a dilation with a scale factor greater than 1

Warm-Up What is the scale factor of ABC to DEF?.

Quick Start Expectations 1.Pick up new HWRS and fill in HW: SS p #5-7, # Get a signature on HWRS 3.On desk: journal, HWRS, pencil, pen 4.Warm.

Draw a 9cm line and label the ends A and B. This is the line AB.

SS 4.2 Ratios within Similar Triangles 1) Teaching Target: I can use equivalent ratios to compare corresponding sides of similar triangles. 2) Homework:

Similar Figures Investigation 2 Computer games have several animated characters!

10.4 Perimeters & Areas of Similar Figures

Stretching & Shrinking 7th grade Writing Rules Scale Factors Vocabulary Terms SF and AreaSimilar.

6.7 – Perform Similarity Transformations A dilation is a transformation that strethes or shrinks a figure to create a similar figure. A dilation is a type.

SS 3.4 Additional Practice w/ Similar Figures 1) Teaching Target: I can use equivalent ratios to compare corresponding sides of similar rectangles. 2)

Similar Polygons Investigation 3

6.3.1 Use similar Polygons Chapter 6: Similarity.

Looking Ahead p. 3. Looking Ahead p. 4 SS Inv. 1.1 SS Inv. 1.2 Vocabulary: SimilarScale drawingImage Corresponding sidesCorresponding Angles.

Dilation: a transformation that produces an image that is the same shape as the original, but is a different size. A dilation stretches or shrinks the.

 A transformation is an operation that moves or changes a geometric figure in some way to produce a new figure. The new figure is called the image. Another.

Entry Task 1. Translate the triangle with vertices A(2, –1), B(4, 3), and C(–5, 4) along the vector. 2. Given the points (-3,2) and (6,-1) reflect them.

I can find missing lengths in similar figures and use similar figures when measuring indirectly.

Transformations What’s it all about?.

Warm Up A figure has vertices A, B, and C. After a transformation, the image of the figure has vertices A′, B′, and C′. Draw the pre-image and the image.

Congruent and Similar Figures

Do Now Find the value of every missing variable:.

Section 8.3: Similar Polygons.

Give the coordinates of a point twice as far from the origin along a ray from (0, 0) , – 1. (3, 5) 2. (–2, 0) (–4, 0) (6, 10) (1, –1) Give.

Math II: Unit 1: Transformations

Plotting Points and Transformations

Dilations: (Stretching/Shrinking)

Warm-up Test Review.

8.2.7 Dilations.

Math CC7/8 – Be Prepared On Desk: Pencil Learning Log: Math Journal

Literacy Research Memory Skill Practice Stretch

6.7 – Perform Similarity Transformations

Transformations: Enlargements

Enlarge the figure by a scale factor of 2 from the origin.

5.1 Congruence and Triangles Day 2

Stretching and Shrinking

STRETCHING AND SHRINKING UNIT (SS)

Similar Figures.

Warm Up I will give 20 minutes to finish homework and ask questions

05 Dilations on the Coordinate Plane

Similar Figures Investigation 2

Day 84 – Enlargement.

New Unit: STRETCHING AND SHRINKING (SS)

7.2 Ratios and proportions

Lesson 7 – 6 Similarity Transformations

Similar Triangles.

4.1: Dilations and Similar Triangles Tonight’s Homework: 4.1 Handout

EXAMPLE 2 Verify that a figure is similar to its dilation

Similarity and Dilations

Watch the EDpuzzle on SS 3.4 and Take notes on p. 7

Similar triangles Example

Similar and Congruent Figures. Similar figures have the same shape, but not the same size. They must have the same ratio of side lengths Congruent figures.

Presentation transcript:

STRETCHING AND SHRINKING UNIT (SS) Investigation 1-2: Enlarging and Reducing Shapes and Similar Figures Additional Practice Learning Target: I can find the percent of a number. I can find the perimeter and area of a triangle or quadrilateral. Homework: Day 3 SS 2.1 Watch the Pre-Teaching EDpuzzle on WUMPS!!!! and TAKE NOTES on p. 9. Come prepared to class tomorrow to use all your data!!! Warm-up: Draw two similar shapes: Label the original as ABC and label the image as PQR, Identify two corresponding lines, two corresponding lengths, two corresponding angles

Draw two similar shapes: Label the original as ABC and label the image as PQR, Identify two corresponding lines, two corresponding lengths, two corresponding angles BC AND QR B AND Q P A B C Q R original image

Did I reach my Learning Target. I can find the percent of a number Did I reach my Learning Target? I can find the percent of a number. I can find the perimeter and area of a triangle or quadrilateral. Homework: Day 3 SS 2.1 Watch the Pre-Teaching EDpuzzle on WUMPS!!!! and TAKE NOTES on p. 9. Come prepared to class tomorrow to use all your data!!!