Lesson -- Dilations and Isometry
Created on: September 10, 2008
Website Address: https://library.curriki.org/oer/Lesson--Dilations-and-Isometry
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TABLE OF CONTENTS
Curriki Calculus
- Curriki Project Based Geometry
- Curriki Calculus: Applications of Derivatives
- Curriki Calculus: Integrals
Curriki Project Based Geometry
- Selling Geometry
- Designing a Winner
- What's Your Angle, Pythagoras?
- TED Talk: House of the Future
- The Art of Triangles
- How Random Is My Life?
- Introduction to Angles
- Lesson -- Drawing right triangles from word problems
- Accessing Curriki Geometry Projects
- Introduction to Curriki Geometry
Selling Geometry
- Selling Geometry Resources
- Curriki Geometry Tools and Resources
- Lesson -- Rotation
- The World Runs on Symmetry
- Lesson -- Dilations and Isometry
- Lesson -- Composition of Transformations
- Cool Math 4 Kids: Tessellations
- Tessellations.org
- Euclid
- About Cloze Notes
- What's the point of Geometry? - Euclid
- Selling Geometry Project Teacher Edition
- Selling Geometry Project Student Packet
Curriki Calculus: Applications of Derivatives
- Applications of Derivatives Table of Contents by Standard
- AD.1: Find the slope of a curve at a point.
- AD.2: Find a tangent line to a curve at a point and a local linear approximation.
- AD.3: Decide where functions are decreasing and increasing.
- AD.4: Solve real-world and other mathematical problems involving extrema.
- AD.5: Analyze real-world problems modeled by curves.
- AD.6: Find points of inflection of functions.
- AD.7: Use first and second derivatives to help sketch graphs.
- AD.8: Compare the corresponding characteristics of the graphs of f, f', and f".
- AD.9: Solve optimization real-world problems with and without technology.
- AD.10: Find average and instantaneous rates of change.
- AD.11: Find the velocity and acceleration of a particle moving in a straight line.
- AD.12: Model rates of change, including related rates problems.
- AD.13: Interpret a derivative as a rate of change in applications.
- AD.14 Geometric interpretation of differential equations via slope fields
AD.14 Geometric interpretation of differential equations via slope fields
- Differential Equations
- Slope fields
- Slope Fields
- Slope Field: Example 1
- ODE | Slope fields
- Differential Equations & Slope Fields
- Slope Fields
- Differential Equations Exercises
- Introduction to Differential Equations Exercises
- Slope Fields Exercises
- Differential Equations; First-Order Linear Equations Exercises
- Separable Equations Exercises
Lesson: Dilation and Isometries
Prerequisite Knowledge:
Students should be familiar with reflections, rotations and translations. Students should be familiar with graphing on
the coordinate plane.
Learning
Objectives: Students will be able to identify and perform a dilation on the
coordinate plane. Students will be able
to understand the scale factor of dilation. Students will understand the
concept of isometry and apply it to reflection, rotation and translation.
Key
Ideas: Dilation (x,y) D scale of 4 (4x,4y)
The
scale factor can refer to an enlargement or a reduction of a figure
Motivational
Problem: On a coordinate plane plot the points A(-2,0) B(-2,2) C(-1,2) and
D(0,-1). Perform the translation T(4,
-2). Plot the new points and record the
new coordinates labeling them A’B’C’. With the original figure
multiple each x,y coordinate by 3. Plot and record the new coordinates labeling
them A’’B’’C’’. Answer the following
questions about the new figures:
Important Questions: What is a scalar?
Important Questions: What is a scalar?
