Unit Overview
Content Area: Geometry
Unit Title: Stretching and Shrinking
Target Course/Grade Level: Connected Math/7th Grade Inclusion
Name: Michelle Kean
School: Lindenwold Middle
Date: July, 2010
Unit Summary
Primary interdisciplinary connections
Geography Map Scale
21st century themes
Global Awareness (Map Skills)
Unit Rationale
Students need to understand rules for similar figures and how scale factor is related to similarity. The graphing of the figures helps the students see how scale factor is related to similarity and its many practical uses in everyday life.
Learning Targets
Standards Key Ideas and Details
7G and 8G
Content Statements
7G 1 Solve problems involving scale drawings of geometric figures. Include computing actual lengths and areas from a scale drawing and reproducing a scale drawing at t different scale.
7G 2 Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions.
8G 1 Verify experimentally the properties of rotations, reflections, and translations.
8G 2 Understand that a twodimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
8G 3 Describe the effect of dilations, translations, rotations, and reflections on twodimensional figures using coordinates.
8G 4 Understand that a twodimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar twodimensional figures, describe a sequence that exhibits the similarity between them.
Unit Essential Questions
Unit Enduring Understandings
Unit Learning Targets
Students will...
Evidence of Learning
Summative Assessment (Approx. 4 weeks)
PreAssessment
Midunit test
Unit test
Scale Factor Project
Equipment Needed:
Senteo Response System
Smart Board presentation of preassessment
Pencil/Paper Test for mid and unit test
Blank coordinate grid paper for project
Rulers/colored pencils for project
Teacher Resources:
CMP teacher resource disk.
Formative Assessments:
Lesson Plans
Lesson 1: Investigation 1
Enlarging and Reducing Shapes
1 hour (1 period)
Lesson 2: Investigation 2/Problem 2.1
Drawing Wumps/Making Similar Figures
2 hours (2 periods)
Lesson 3: Investigation 2/Problem 2.2
Hats Off to the Wumps/Changing a Figure’s Size and Location
1 hour (1period)
Lesson 4: Investigation 2/ Problem 2.3
Mouthing Off and Nosing Around/Scale Factor
1 hour (1 period)
Lesson 5: Investigation 2 /Selected Ace Questions, Mathematical Reflections as Review for Quiz
1 hour (1 period)
Lesson 6: Investigation 1 and 2 Quiz
1 hour (1 period)
Lesson 7: Investigation 3
Similar Polygons
2 hours (2 periods)
Lesson 8: Investigation 3/ Selected Ace Questions, Mathematical Reflections
1 hour (1 period)
Lesson 9: Investigation 13 review for MidUnit Test
1 hour (1 period)
Lesson 10: MidUnit Test
1 hour (1 period)
Lesson 11: Investigation 4
Similarity and Ratios Within Polygons
1 hour (1 period)
Lesson 12: Investigation 4/ Selected Ace Questions, Mathematical Reflections
1 hour (1 period)
Lesson 13: Investigation 5
Using Similar Triangles and Rectangles
1 hour (1 period)
Lesson 14: Investigation 5/ Selected Ace Questions, Mathematical Reflections
1 hour (1 period)
Lesson 15: Investigation 45 review for Unit Test
1 hour (1 period)
Lesson 16: Unit Test
1 hour (1 period)
Lesson 17: Scale Factor Project
2 hours (2 periods)
Teacher Notes
Some students will require numbered grid paper and/or enlarged grid paper. Some students may also need some assistance in plotting coordinate points and/or understanding the concept of connecting points to create an image and will need copies of final product to compare their work to. Some students will need to have all scale factor scenarios set up in pictures, not just word problems.
Curriculum Development Resources
CMP Teacher’s Guide and Student Book, CMP Teacher Disk, Brain pop, You Tube/Teacher Tube, Geometer Sketchpad, Smart Notebook
Lesson Plan 1
Content Area: Mathematics
Grade: 7th
Lesson Title: Drawing Wumps/Making Similar Figures
Timeframe: 2 hours/2 days
Lesson Components
21st Century Themes
X Global Awareness(Map skills/map scale)
Financial, Economic, Business, and Entrepreneurial Literacy
Civic Literacy
Health Literacy
21st Century Skills
x Creativity and Innovation
Media Literacy
x Critical Thinking and Problem Solving
ICT Literacy
x Communication and Collaboration
x Life and Career Skills
x Information Literacy
Interdisciplinary Connections: Geography, Art
Integration of Technology: Calculator, Document Camera, SMART Board, Geometer Sketchpad, Student Laptops
Equipment & materials needed: Lab sheets 2.1 A, B and C (from teachers’ manual or CMP disk)
Calculator, Document Camera, SMART Board, Teacher Computer, Student Laptops, Geometer Sketchpad,
Goals/Objectives/CPIs
Students:

Learning Activities/Instructional Strategies

Formative Assessment Tasks
Universal Design for Learning Options
Multiple Means of Representation

Multiple Means of Action and Expression

Multiple Means of Engagement

Resources