Unit Plan
Grade: 7 | Content Area: Math | Course Name: Pre Algebra |
Unit: 7 | Description of Course: During this unit students will use and learn about transformations and similarity. | Approximate Time Needed: 15-20 Days |
Learning Targets | Assessments | Instructional Considerations | Instructional Approach | Resources |
7.1 I can identify congruence and similarity in figures. 7.2. I can find corresponding parts of similar figures. 7.3 I can use diagrams of similar figures to find unknown lengths and areas without directly measuring. 7.4 I can use indirect measurement. 7.5 I can identify and use transformations in the coordinate plane. | Pre-Assessments: (none yet) Formative Assessments: Practice Exercises in lessons Benchmark Assessment: (none yet) | Student Background Knowledge: Students should have a basic understanding of ratio, proportion, and scale. Essential Questions: 1. How can coordinate notation be used to transform figures? 2. How do you recognize symmetry congruence and similarity in a figure? 3. How is the scale model of a figure different from the actual figure? 4. How can proportional relationships be used to determine indirect measurement? 5. How can scale be used in measurement? Academic Language: associate calculate compare corresponds relation two-dimensional Content Specific Language: Listed below | Cross-Content Integration: science physical fitness fine arts social studies | Web Resources: Research: ck12 Technology Resources: Khan Academy Math Playground James Sousa ck12 Community Resources: (none) |
Content Specific Language:
Congruent- Congruent figures have exactly the same size and shape. They have congruent sides and congruent angles.
Coordinate Notation- Coordinate notation is a way to write a transformation.
Coordinate Plane- The coordinate plane is a representation of two-dimensional space. The x-axis and y-axis make up the plane.
Corresponding Sides- Corresponding sides are sides that are in the same position in different plane figures.
Indirect Measurement- Indirect measurement is a technique that uses proportions to find a measurement when direct measurement is not possible.
Proportion- A proportion is two ratios that are equal to each other.
Reflection- A reflection makes a mirror image of the figure over a line of symmetry.
Rotation- A rotation moves a figure in a circle either clockwise or counterclockwise.
Scale Factor- The scale factor is the ratio that determines the proportional relationship between the sides of similar figures.
Similar Figures - Similar figures are shapes that exist in proportion to each other. They have congruent angles, but their sides are different lengths.
Similar- Similar figures have the same angle measures but different side lengths.
Translation- A translation moves a figure up, down, to the right, to the left or diagonal without altering the figure.
X-axis- The x-axis is the horizontal number line in a coordinate plane.
Y-axis- The y-axis is the vertical number line in a coordinate plane.