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Area of Polygons_Composite Figures_.pptx

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LuisSalenga1

The document discusses finding the area of different shapes like triangles, squares, rectangles, and circles by providing the formulas and step-by-step worked examples of applying the formulas to sample figures. It also emphasizes the importance of including units when writing the result of an area calculation and integrating area concepts into other subjects.

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MATHEMATICS THIRD QUARTER LUIS V. SALENGA
LECTURE 3.6 Finding the Area of a Figure
Content Standard: Demonstrates understanding of rate and speed, and of area and surface area of plane and solid/space figures. Performance Standard: Apply knowledge of speed, area, and surface area of plane and solid/space figures in mathematical problems and real-life situations. Learning Competency: Finds the area of composite figures formed by any two or more of the following: triangle, square, rectangle, circle, and semi-circle. Code: 6ME-IIIh-89 LEARNING OBJECTIVES
CLASSPOINT CLASS CODE
Click Me 1 2 3 4 5 6 7 8 9 10
4 Pics in a Word 1 Back Next TIME
4 Pics in a Word 1 Back Next DISTANCE
4 Pics in a Word 1 Back Menu SPEED
Guess the Shapes 2 Back Menu Triangle Square Rectangle Circle Semi-circle
Analyze the figure and answer the question that follows. 3 Next What do you think is the total area of the quadrilateral? What do you think is the total area of the triangle? What is the total area of the two figures if combined?
Analyze the figure and answer the question that follows. 3 Menu Area of the Square A = = ( ) A = 100 Area of the Triangle A = x b x h = x 10 cm x 8 cm A = 40 Area of the Shaded Figure = + = 100 - 40 = 140
Find the area of the Square. 4 Next Area of the Square A = S X S = 12 m x 12 m A = 144
Find the area of the Rectangle. 4 Next Area of the Rectangle A = l x w = 2 cm x 1 cm A = 2 Length = 2 cm Width = 1 cm
Find the area of the Triangle. 4 Next Area of the Triangle A = x b x h = x 2 m x 3 m A = 3 3 m 2 m
Find the area of the Circle. 4 Menu Area of the Circle A = x r x r = 3.14 x 2 m x 2 m A = 12.56 r =2 m
What is the formula for finding the Area of a Square? Rectangle? Triangle? Circle? 5 Next A. A = S X S B. A = l x w C. A = (l X 2) + (w x 2) D. A = x b x h E. A = x r x r
What does the symbol represent? 5 Next A. radius B. circle C. pi D. Semi-circle
What are the similarities and differences of square and rectangle? 5 Next Similarities: 1. They are both quadrilaterals. 2. They have 4 right angles 3. 2 opposite sides are parallel. Differences: 1. Square have 4 equal sides 2. Rectangle have 2 equal sides
What is your sole observation in putting a unit on the result after finding the area? 5 Next For writing the unit of an Area it must always have an exponent of 2. Example: , c, , Or you can also write it in word like; Square meter, Square Centimeter, Square feet, Square inches
Integration 5 Menu 1. Social and Cultural Integration: Why is it important to learn how to find the area? How can this help you in determining the area of our house, lot, or cultural heritage? 2. Integration (Subject-Orientation): In what subject you can use in finding the area of a figure?
Lets Discuss! 6 Next Area of the Rectangle = l x w = 12 ft x 7 ft = 84 Area of the Rectangle = l x w = 8 ft x 3 ft. = 24 Area of the Shaded Figure = - = 84 - 24 = 60 60
Lets Discuss! 6 Next Area of the Circle A = x r x r = 3.14 x 7 in x 7 in A = 153.86 Area of the Rectangle A = l x w = 11 in x 3 in A = 33 Area of the Shaded Figure = - = 153.86 - 33 = 120.86 120.86
Lets Discuss! 6 Menu Area of the Triangle A = x b x h = x 6 m x 7 m A = 21 Area of the Rectangle A = l x w = 4 m x 2 m A = 8 Area of the Shaded Figure = - = 21 - 8 = 13 13
Lets Practice! 7 Menu Area of the Rectangle = l x w = 20 cm x 15 cm = 300 Area of the 2 Squares = 2s x 2s = 2(2cm) x 2(2 cm) = 4 cm x 4 cm = 16 Total Area of the Figure = + = 300 + 16 = 316 316
Lets Try! 8 Menu Area of the Circle = x r x r = 3.14 x 4 in x 4 in = 50.24 Area of the Circle = x r x r = 3.14 x 2 in x 2 in = 12.56 Total Area of the Shaded Region = + = 50.24 + 12.56 = 37.68
Summary/Reflection 9 Menu In summary, what is the importance of learning how to get the area of a space or figure?
Enrichment/Enhancement/Assignment 10 Next Look for an object and by using a ruler get the measurement and find its area.

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Area of Polygons_Composite Figures_.pptx

  • 2. LECTURE 3.6 Finding the Area of a Figure
  • 3. Content Standard: Demonstrates understanding of rate and speed, and of area and surface area of plane and solid/space figures. Performance Standard: Apply knowledge of speed, area, and surface area of plane and solid/space figures in mathematical problems and real-life situations. Learning Competency: Finds the area of composite figures formed by any two or more of the following: triangle, square, rectangle, circle, and semi-circle. Code: 6ME-IIIh-89 LEARNING OBJECTIVES
  • 5. Click Me 1 2 3 4 5 6 7 8 9 10
  • 6. 4 Pics in a Word 1 Back Next TIME
  • 7. 4 Pics in a Word 1 Back Next DISTANCE
  • 8. 4 Pics in a Word 1 Back Menu SPEED
  • 9. Guess the Shapes 2 Back Menu Triangle Square Rectangle Circle Semi-circle
  • 10. Analyze the figure and answer the question that follows. 3 Next What do you think is the total area of the quadrilateral? What do you think is the total area of the triangle? What is the total area of the two figures if combined?
  • 11. Analyze the figure and answer the question that follows. 3 Menu Area of the Square A = = ( ) A = 100 Area of the Triangle A = x b x h = x 10 cm x 8 cm A = 40 Area of the Shaded Figure = + = 100 - 40 = 140
  • 12. Find the area of the Square. 4 Next Area of the Square A = S X S = 12 m x 12 m A = 144
  • 13. Find the area of the Rectangle. 4 Next Area of the Rectangle A = l x w = 2 cm x 1 cm A = 2 Length = 2 cm Width = 1 cm
  • 14. Find the area of the Triangle. 4 Next Area of the Triangle A = x b x h = x 2 m x 3 m A = 3 3 m 2 m
  • 15. Find the area of the Circle. 4 Menu Area of the Circle A = x r x r = 3.14 x 2 m x 2 m A = 12.56 r =2 m
  • 16. What is the formula for finding the Area of a Square? Rectangle? Triangle? Circle? 5 Next A. A = S X S B. A = l x w C. A = (l X 2) + (w x 2) D. A = x b x h E. A = x r x r
  • 17. What does the symbol represent? 5 Next A. radius B. circle C. pi D. Semi-circle
  • 18. What are the similarities and differences of square and rectangle? 5 Next Similarities: 1. They are both quadrilaterals. 2. They have 4 right angles 3. 2 opposite sides are parallel. Differences: 1. Square have 4 equal sides 2. Rectangle have 2 equal sides
  • 19. What is your sole observation in putting a unit on the result after finding the area? 5 Next For writing the unit of an Area it must always have an exponent of 2. Example: , c, , Or you can also write it in word like; Square meter, Square Centimeter, Square feet, Square inches
  • 20. Integration 5 Menu 1. Social and Cultural Integration: Why is it important to learn how to find the area? How can this help you in determining the area of our house, lot, or cultural heritage? 2. Integration (Subject-Orientation): In what subject you can use in finding the area of a figure?
  • 21. Lets Discuss! 6 Next Area of the Rectangle = l x w = 12 ft x 7 ft = 84 Area of the Rectangle = l x w = 8 ft x 3 ft. = 24 Area of the Shaded Figure = - = 84 - 24 = 60 60
  • 22. Lets Discuss! 6 Next Area of the Circle A = x r x r = 3.14 x 7 in x 7 in A = 153.86 Area of the Rectangle A = l x w = 11 in x 3 in A = 33 Area of the Shaded Figure = - = 153.86 - 33 = 120.86 120.86
  • 23. Lets Discuss! 6 Menu Area of the Triangle A = x b x h = x 6 m x 7 m A = 21 Area of the Rectangle A = l x w = 4 m x 2 m A = 8 Area of the Shaded Figure = - = 21 - 8 = 13 13
  • 24. Lets Practice! 7 Menu Area of the Rectangle = l x w = 20 cm x 15 cm = 300 Area of the 2 Squares = 2s x 2s = 2(2cm) x 2(2 cm) = 4 cm x 4 cm = 16 Total Area of the Figure = + = 300 + 16 = 316 316
  • 25. Lets Try! 8 Menu Area of the Circle = x r x r = 3.14 x 4 in x 4 in = 50.24 Area of the Circle = x r x r = 3.14 x 2 in x 2 in = 12.56 Total Area of the Shaded Region = + = 50.24 + 12.56 = 37.68
  • 26. Summary/Reflection 9 Menu In summary, what is the importance of learning how to get the area of a space or figure?
  • 27. Enrichment/Enhancement/Assignment 10 Next Look for an object and by using a ruler get the measurement and find its area.