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Geometry: Perimeter and Area of Shapes

This lesson covers the definitions and calculations of perimeter and area for triangles, parallelograms, and quadrilaterals. Students will practice solving equations and graphing shapes.

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Geometry: Perimeter and Area of Shapes

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  1. COMPLETE THE DO NOW SILENTLY, INDEPENDENTLY, & IMMEDIATELY Do Now Solve and graph the following equations: 1). 4R + 15 + 4 = 39 2). 3(X + 3) + 5 =32 3). -18 = 2(X – 2) + 5X

  2. Objective & EU OBJECTIVE: SWBAT define and calculate perimeter and area of triangles and parallelograms ESSENTIAL UNDERSTANDING:We are now entering Geometry: The study of shapes. Remember to visualize the shapes as you do the problems!

  3. What is perimeter and area? Perimeter is the distance around a two-dimensional shape Area is the space inside the boundary of a two-dimensional shape

  4. How do we calculate perimeter and area? Perimeter: Add up the sides Area: It depends on the shape. Quadrilaterals (four sided figures): Base x Height Triangles: (B x H) 2 (A quadrilateral is a shape with four sides. Quad = four, lateral = side.) REMEMBER THE UNIT!

  5. We are mathematicians!!!! How do we structure perimeter and area problems? 1). Draw the figure 2). Label the sides (including units!) 3). For Area, write the formula 4). Create your calculations. 5). Remember to include a unit!

  6. We are mathematicians!!!! Formulas Perimeter: Add up the sides Area of a four-sided figure: A = B x H Area of a Triangle: A = (B x H) / 2

  7. Better to be slow and sure than fast and wrong!!!! Let’s do this together Find the Perimeter of these figures. 1). A square with sides of 6 feet. 2). A triangle with a base of 6 inches and sides of 8 inches. 3). A rectangle with sides of 2 meters and 12 meters. 4). A parallelogram with sides of 1 mile and 3 miles. DURING REVIEW PUT A CHECK NEXT TO A RIGHT ANSWER OR CORRECT IT!

  8. Work Silently & Independently; silent hands for questions/to volunteer Let’s do this together Find the Area of these Figures. 1). A square with sides of 6 feet. 2). A triangle with a base of 6 inches and sides of 8 inches. 3). A rectangle with sides of 2 meters and 12 meters. 4). A parallelogram with sides of 1 mile and 3 miles. DURING REVIEW PUT A CHECK NEXT TO A RIGHT ANSWER OR CORRECT IT!

  9. Check for Understanding A). 28yd B). 22yd C). 16yd D). 28yd2

  10. Work Silently & Independently; silent hands for questions/to volunteer Find the Area

  11. Work Silently & Independently; silent hands for questions/to volunteer Find the area and perimeter DURING REVIEW PUT A CHECK NEXT TO A RIGHT ANSWER OR CORRECT IT!

  12. Work Silently & Independently; silent hands for questions/to volunteer Find the area and perimeter DURING REVIEW PUT A CHECK NEXT TO A RIGHT ANSWER OR CORRECT IT!

  13. Work Silently & Independently; silent hands for questions/to volunteer Find the area and perimeter DURING REVIEW PUT A CHECK NEXT TO A RIGHT ANSWER OR CORRECT IT!

  14. Work Silently & Independently; silent hands for questions/to volunteer Find the area and perimeter DURING REVIEW PUT A CHECK NEXT TO A RIGHT ANSWER OR CORRECT IT!

  15. Thought Question Think for 30 seconds and write for 30 seconds How would we find the area of the grey square below WITHOUT including the white area inside of it?

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