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4b: Use formulas and strategies, such as decomposition, to compute the perimeter and area of triangles, parallelograms, trapezoids, the circumference and area of circles, and find the area of more complex shapes. (DOK 2) By:  Deia Sanders
Perimeter The Perimeter of a polygon is the distance around it. Because a square and a rectangle are special types of polygons, they have a special perimeter formula.  The triangle and any other unknown-sided polygon will use the “sum of all the sides” as the formula. Square = 4s (s is the length of the side) Rectangle = 2(l + w) (l is the length and w is the width) All other polygons = add the sides
Let’s Review Examples on Page 66
Homework: Handout #1  Page 93
Day 2 Area of Polygons!!!
Area of Polygons Triangle: A = ½ bh Parallelogram:  A = bh Square:  A = s2 Rectangle:  A = lw
Let’s work examples on pages 67-69
Homework Handout #2  Page 95
Day 3 Area of Trapezoids!!!
Area of Trapezoid Trapezoid:  1/2h(b1 + b2)
Let’s work examples on pages 69-72!!
Homework  Handout #3  Page 97
Day 4 Circumference and Area of Circles!!!
Circumference of a Circle Circumference: C = pi(d) Circumference is the distance around a circle Let’s look at page 73!
Area of a Circle The area of a circle is the region or space inside the circle.  The measurement will be measured in square units. Let’s look at page 73!
Homework Handout #4 Page 99
Day 5 Irregular Polygons!!!
Irregularly Shaped Polygons Step 1.  Break down the original figure into more basic shapes, such as squares, rectangles, triangles, or circles. Step 2.  Find the area of the basic shapes using the formulas. Step 3.  Combine the areas of the basic shapes so that the area of the irregularly shaped polygon can be determined.
Lets look at pages 74 and 75!!!
Homework Handout #5 Page 101

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4b area of polygons

  • 1. 4b: Use formulas and strategies, such as decomposition, to compute the perimeter and area of triangles, parallelograms, trapezoids, the circumference and area of circles, and find the area of more complex shapes. (DOK 2) By: Deia Sanders
  • 2. Perimeter The Perimeter of a polygon is the distance around it. Because a square and a rectangle are special types of polygons, they have a special perimeter formula. The triangle and any other unknown-sided polygon will use the “sum of all the sides” as the formula. Square = 4s (s is the length of the side) Rectangle = 2(l + w) (l is the length and w is the width) All other polygons = add the sides
  • 5. Day 2 Area of Polygons!!!
  • 6. Area of Polygons Triangle: A = ½ bh Parallelogram: A = bh Square: A = s2 Rectangle: A = lw
  • 7. Let’s work examples on pages 67-69
  • 9. Day 3 Area of Trapezoids!!!
  • 10. Area of Trapezoid Trapezoid: 1/2h(b1 + b2)
  • 11. Let’s work examples on pages 69-72!!
  • 12. Homework Handout #3 Page 97
  • 13. Day 4 Circumference and Area of Circles!!!
  • 14. Circumference of a Circle Circumference: C = pi(d) Circumference is the distance around a circle Let’s look at page 73!
  • 15. Area of a Circle The area of a circle is the region or space inside the circle. The measurement will be measured in square units. Let’s look at page 73!
  • 17. Day 5 Irregular Polygons!!!
  • 18. Irregularly Shaped Polygons Step 1. Break down the original figure into more basic shapes, such as squares, rectangles, triangles, or circles. Step 2. Find the area of the basic shapes using the formulas. Step 3. Combine the areas of the basic shapes so that the area of the irregularly shaped polygon can be determined.
  • 19. Lets look at pages 74 and 75!!!