Circumference Pi Regular polygon. Dates, assignments, and quizzes subject to change without advance notice.


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1 Name: Period GPreAP UNIT 14: PERIMETER AND AREA I can define, identify and illustrate the following terms: Perimeter Area Base Height Diameter Radius Circumference Pi Regular polygon Apothem Composite figure Central angle Geometric probability Friday, 3/2/ Dates, assignments, and quizzes subject to change without advance notice. Monday Tuesday Block Day Friday Perimeter and Area of Quad ls & Triangles 92 & 113 P & A of Circles and Sectors Spring Break Geometric Probability P & A of Regular Polygons Spring Break 95 Dimensional Changes 91: Perimeter and Area of Quadrilaterals and Triangles 7/8 Vocabulary Quiz 93 Composite Figures 14/15 Spring Break 21/22 Review and Test 13: Perimeter & Area Problem Solving Spring Break I can find the perimeter of triangles, parallelograms, rectangles, and trapezoids. I can find the area of triangles, parallelograms, rectangles, and trapezoids. I can find missing measurements given the area or perimeter. PRACTICE: Pg #11 29, 34 36, Monday, 3/5/ & 113: Perimeter and Area of Circles and Sectors I can find the circumference and area of a circle. I can find the arc length of a sector. I can find the area of a sector. PRACTICE: Pg #10 12, 40, 44 47; pg #12 14, 19 25, 35 Tuesday, 3/6/12 92: Perimeter and Area of Regular Polygons I can find the perimeter and area of a regular polygon. I can find missing measurements when given an area or perimeter. PRACTICE: pg #69, 1417, odd
2 Wednesday, 3/7/12 or Thursday, 3/8/12 VOCABULARY QUIZ 93: Perimeter and Area of Composite Figures I can measure the lengths of the sides of a figure I can find the perimeter and area of a composite figure. PRACTICE: Composite Figures Worksheet Friday, 3/9/12 94: Perimeter and Area on the Coordinate Plane / with Algebra I can find the perimeters and areas of figures in a coordinate plane. I can write and simplify algebraic expressions for area and perimeter. PRACTICE: Area and Perimeter with Algebra Worksheet And make sure all previous practice assignments are complete. Monday, 3/19/ Geometric Probability I can calculate geometric probabilities. PRACTICE: p 634 #1737 odd Tuesday, 3/20/12 95: Dimensional Changes I can describe the effect on perimeter and area when one or more dimensions of a figure are changed. PRACTICE: Pg #9 21 odd, 22, all Wednesday, 3/9/11 or Thursday, 3/10/11 Review Test 13: Perimeter and Area I can find area and perimeter of a variety of figures using a variety of methods. PRACTICE: Pg #4 7, 11 13, 15, 17, 18 20, 31 34
3 Name: Period: 2/24 25/10 GH Area and Perimeter of Composite Figures Find the area and perimeter for each figure. Assume all angles that look like right angles are cm 2. 5 cm 3 cm 7n 15 cm 10t 2n 6 cm 23t 6 cm Find the area and perimeter of the shaded regions.. 3t 36n (Outside perimeter) 3 m 4 m 1 4 m 5 m m 3 m 1 6 m 8 m 16 m 8 m 6 m 8 m 9 m 3m 1 3 m (Outside perimeter) 3 m ¼ x units
4 For the following problems, assume all polygons are regular (except #15) in 10 in in. 8 ft in 8 cm ft 10 ft 15 ft 20 cm in 18 ft
5 19. Pat is painting a stage backdrop for a play. The paint he is using covers 90 square feet per quart. How many quarts of paint should Pat buy? 20. Four square pieces are cut from the corners of a square sheet of metal. As the size of the small squares increases, the remaining area decreases, as shown below. If this pattern continues, what will be the difference between the first square s shaded area and the fifth square s shaded area? A 4 square units B 24 square units C 49 square units D 96 square units 2003 Exit 21. Find the equation that can be used to determine the total area of the composite figure shown below. A A = lw w2 B A = lw + w 2 C A = w + 2l + w 2 D A = w + 2l w Exit 22. What is the area of the unshaded part of the rectangle below? A 19,000 ft 2 B 45,000 ft 2 C 28,000 ft 2 D 26,000 ft Mr. Ike wants to put brown tile in his living room except in the center where he wants ivory tile in a square shape. The diagram below shows the layout of the room. He uses 6 inch square tiles, how many brown tiles will he need? How many ivory tiles? 42 in 10 ft 24 ft
6 Name: Period: 2/26/10 GH Area and Perimeter with Algebra With Exponents 1) The area of a triangle is 64a 10 b 13 square units. If the height of the triangle is 16a 4 b 8 units, how many units is the base of the triangle? ( a 0 and b 0 ) With Algebraic Expressions 7) Find the perimeter and area of ABC. C (0,k) A (0,0) B (k,0) 2) Find the area of a parallelogram in square units with a base of 7a 2 b 3 units and a height of 5a 3 b units. 8) Find the area and perimeter of the quadrilateral ABCD. D ( h, k) C (h, k) 3) The area of a parallelogram is 168a 10 b 3 square units. If the length of the parallelogram is 12a 7 b 3 units, what is the height in units? A ( h, 0) B (h, 0) 9) Find the area and perimeter of the quadrilateral ABCD. 4) A triangle has a base of 4x 2 y 3 z and a height of 3x 3 z 2. What is the area of the triangle? D ( h, k) C (0, k) A ( h, 0) B (h, 0) 5) A circle has a circumference of 6w 4 t 2 π. What is its area? 10) Find the perimeter and area of the figure formed by the points (0, 0), (b, 0), and (b, a). 6) A regular hexagon has a side length of 12g 2. Find the area.
7 With Polygons 11) Find the perimeter and area of the regular octagon with center C (shown below). Writing Your Own Equations 16) The area of a triangle is 50 cm 2. The base of the triangle is 4 times the height. Find the height of the triangle. C 2a 3 4 a ) A triangle has all sides of length s. Express the area of the triangle in terms of s. 12) Find the perimeter and area of the regular pentagon with center C (shown below). C 6t t ) The base of a triangle is three more than half its height. If it has an area of 4 sq. cm., what is its height? 13) Find the area and perimeter of a regular 2 nonagon with side length ( x + 3) whose apothem is 6x units long. 19) The length of a rectangle is four less than three times its width. Write the expression to find the perimeter. If the rectangle has a perimeter of 22 inches, what is its width? 14) If the area of a regular decagon is 60t 2 and it has an apothem that is 2t units long, what is the length of one of its sides? 20) The height of a right triangle is six inches longer than twice its base. If the area of the triangle is 10 square inches, what is its base? What is its perimeter? 15)* The area of a regular hexagon is 54 3 square centimeters. What is its apothem? 21) The area of a circle is six times the radius. Write and equation and use it to solve for the radius. Leave your answer in terms of π.
8 With Quadratics 22) A rectangular sheet of paper has dimensions of (x + 2) and (x + 3). The area of the paper is 61 square feet. What are the dimensions of the paper? 27) The area of a parallelogram is (x 2 6x 7) units 2. If the area of the parallelogram is thirtythree square units, what factors can be used to solve for x? 23) The area of a regular nonagon is 108 square units. If one side length is ( x + 3) and the apothem is 6x units long, solve for x. 28) The area of an isosceles right triangle is 128 units 2. what is the perimeter of the right triangle? 24) A parallelogram has a base (x + 6) units and a height of (x + 2) units. If the area of the parallelogram is 60 units 2, what are its dimensions? With Solids 29) The dimensions of the rectangular prism below are 8 by 10 by 12. What is the area of the shaded rectangle located diagonally inside the prism? 25) The area of a parallelogram is thirtyfour square inches. Write the factors that can be used to solve for x A = (x 2 5x 50) 30) Look at the rectangular prism below. Write an equation to represent the area of the shaded rectangle located diagonally in the prism. 26) The area of a rectangle is (x 2 9x + 20) square units. If the area is six square units, what factors can be used to solve for x? 2s 2s 3s
9 Geometric Probability Remember that you find probability by dividing: # of outcomes you want Total # of outcomes For Geometric Probability, you will divide: Area you want Total area Use the picture below for questions # cm 8 cm A B C 8 cm 5 cm 4 cm 3 cm 1. What is the probability of throwing a dart on section A if thrown at random? Hint: What is the area of section A? What is the total area? Area of A Total area = 2. What is the probability of randomly throwing a dart and landing on A or C? Area of A+C = Total area 3. What is the probability of randomly throwing a dart and NOT landing on C? Area of A+B = Total area Use the picture for questions# What is the probability of landing on a shaded region? 8. What is the probability of landing on the square? 9. What is the probability of landing on the triangle? Use the picture for questions # m 10. What is the probability that a dart thrown at random will hit a shaded region? Use the picture for questions # Find the probability of choosing pasta at random. Hint: Use degree measures. 11. What is the probability that a dart thrown at random will hit the bull s eye? (center) Degrees of pasta section Total degrees in a circle = 5. Find the probability of NOT choosing peach cobbler at random. 12. What is the probability that a dart thrown at random will hit the white section of the board? 6. What is the probability of choosing peas at random?
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