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Name: Date:Algebra2012 - 2013Perimeter, Area, andVolumeName:Teacher:Pd:
Table of ContentsDAY 1: SWBAT: Calculate the area and perimeter of polygons and circlesPgs: 1 - 6HW: Pgs: 7- 8DAY 2: SWBAT: Calculate the area of composite regionsPgs: 9 - 15HW: Pgs: 16 - 18DAY 3: SWBAT: Calculate the volume of rectangular solids and cylindersPgs: 19 - 24HW: Pgs: 24 - 25DAY 4: SWBAT: Calculate the missing dimensions of a three dimensional solid using VolumePgs: 26 - 30HW: Pgs: 31 - 32DAY 5: SWBAT: Calculate the surface area of rectangular solids and cylindersPgs: 33 - 36HW: Pgs: 37 - 38Formula Sheet: Page 39
Area (triangle)Area (rectangle) (length) (width)Area (square)Area (parallelogram)Area (trapezoid)Area (circle)
Day 1: Area and PerimeterSWBAT: Calculate the area and perimeter of polygons and circlesPractice Problems: Calculate the area and the perimeter of the polygons and circles below.ExamplesPerimeterArea1.2.3.1
ExamplesPerimeterArea4.5.6.7.Semicircle2
Circle Problems7. A circle’s circumferenceis 22π.(a)What is the radius of the circle?(b)What is the diameter of the circle?8.A circle’s Area is 25π.(a)What is the radius of the circle?(b)What is the diameter of the circle?Example 2: Perimeter Problems3
Practice Problems: Perimeter Problems9.10.Example 3: Perimeter Word ProblemsThe length of a rectangle is 5 cm less than three times its width. If theperimeter of the rectangle is 54 cm, find the length and width.4
Practice Problems: Perimeter Problems11. The length of a rectangle is 9 cm more than the width. The perimeter is 78cm. Find the length and the width.Regents ProblemSummaryChallenge5
SUMMARYExit Ticket6
Homework - Perimeter, Circumference, & Area Formulas (Day 1)7
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Day 2: SWBAT: Calculate the perimeter and area of Composite shapesPerimeter & Area of Composite Shapes – Day 2Warm – UpExample 1: Determine the perimeter of the following figure below.9
Practice Problems: Determine the perimeter of the following figure below.1)2) Determine the perimeter of the following figure below.3)10
Recall, these Area Formulas:3)Let’s look at Shaded Area Problems:11
Directions: Calculate the area of the shaded region in terms of π and to the nearest integers.4)A A 5)6)12
Challenge Problem #1:Calculate the area of the shaded region to the nearest integers.Challenge Problem #2Bill wishes to replace the carpet in his living room and hallway with laminate flooring. A floor plan is shown.(a) Find the total area of floor to be recovered.(b) Laminate flooring comes in boxes that contain 2.15m2 of material. How many boxes will Bill require?(c) One box costs 43.25. How much will the flooring cost?13
Summary14
Exit Ticket1.2.15
Homework - Perimeter & Area of Composite Figures – Day 22.16
3.4.17
5.6.7.18
SWBAT: Calculate the volume of rectangular solids and cylindersVolume of rectangular solids and cylinders – Day 3Warm – UpThe dimensions of a square are measured to be 5.1 inches. The actual dimensions are 5.2 inches. What is therelative error, to the nearest thousandth, in calculating the area of the square?Example 1: Calculating Volume10 cm19
Practice Problems:1)2)Example 2: Calculating Volume (Working Backwards)Calculate the height of a rectangular prism with length 13 cm, width 3 cm, and volume 195 cm3.Practice: Calculating Volume (Working Backwards)3) Calculate the length of a rectangular prism with height 9 ft, width 15 ft, and volume 3375 ft3.20
Example 3: Calculate the volume of the cylinder. Give your answers in terms of androunded to the nearest tenth.Practice: Calculate the volume of the cylinder. Give your answers in terms of androunded to the nearest tenth.4)5)6. Find the volume of a cylinder with a diameter of 16 in. and a height of 17 in. Give your answerboth in terms of and rounded to the nearest tenth.21
Regents QuestionChallenge Problem:22
Summary:23
Exit Ticket:Homework - Volume of rectangular solids and cylinders – Day 31)2)3)24
4) Calculate the height of a rectangular prism with length 5 ft, width 9 ft, and volume 495 ft3.5)6)7)25
SWBAT: Calculate the volume of rectangular solids and cylindersVolume of rectangular solids and cylinders – Day 4Warm - UpExample 1: A cube has a volume of 216 cubic feet. Calculate the side of the cube.Practice: A cube has a volume of 512 cubic feet. Calculate the side of the cube.26
Example 2:PracticeThe cylinder below has a volume of 225 cubic inches.Calculate the height of the cylinder with a radius of 5 inches.Example 3: The cylinder below has a volume of 360 cubic inches.Calculate the radius of the cylinder with a height of 10 inches.27
Practice: The cylinder below has a volume of 392 cubic inches.Calculate the radius of the cylinder with a height of 8 inches.Example 4:Practice:28
Practice:Regents Level Question29
ChallengeSummaryCalculate the radius of the cylinder.Exit Ticket30
Day 4 - HW: Working Backwards with Volume1.2. The volume of a cylinder is 441 in3. The height of the cylinder is 9 in. Calculate the radius of the cylinderto the nearest tenth of a centimeter.3. The volume of a cylinder is 794.3 cm3. The height of the cylinder is 7 cm. Calculate the radius of thecylinder to the nearest tenth of a centimeter.4. The volume of a cube is 216 cubic yards. Find the side length.31
5.6. A right circular cylinder has a volume of 2,000 cubic inches and a radius of 4 inches. What is the height of thecylinder to the nearest tenth of an inch?7.32
SWBAT: Calculate the surface area of rectangular solids and cylindersSurface area of rectangular solids and cylinders – Day 5Warm – UpThe volume of a cylinder is 600 in3. The height of the cylinder is 6 in. Calculate the radius of the cylinder tothe nearest tenth of a centimeter.Rectangular SolidSA 2lh 2hw 2lwThis formula assumes a "closed box", with all 6 sidesCylinderThis formula assumes a "closed container", with a topand bottom.Example 1: Calculate the surface area of the prism below.4cm2cm7cm33
Example 2:Find the surface area, to the nearest tenth of a square foot, of this container assuming it has aclosed top and bottom.Practice Problems: Try these on your own!1.Rashid needs to buy some wood to build a box. He must calculate the surface area of the box to determinehow much wood to buy. A diagram of the box is shown below.How much wood does Rashid need to buy to build the box?2. Calculate the surface area, to the nearest tenth of a square foot, of this container assuming it hasa closed top and bottom.3in8in34
3. A student says the two cylinders below have the same surface area. Is the student correct?6 in8 in8 in6 in4.The surface area of a cylinder is 48 square feet. The radius of the cylinder is 3 feet. What is the height of thecylinder?5. Regents Problem35
Challenge Problem: What is the surface area of the composite figure below?Summary:Exit Ticket36
Homework - Surface area of rectangular solids and cylinders – Day 51. Find the surface area, to the nearest tenth of a square foot, of this container assuming it has a closed top andbottom.9m6m2. Find the surface area of the prism below.11cm3cm6 cm3. Find the surface area of the prism below.3.7ft8.4 ft6.1 ft4.37
5)6)7) A rectangular prism has a measured length of 24 meters, a width of 13 meters and a height of 18 meters. Theactual length is 24.04 meters; width is 13.04 meters; and height of 18.04 meters. What is the relative error ofthe surface area of the prism?8)38
FORMULA SHEETSA 6s2V s3s𝑜𝑟 𝐶 𝜋𝑑39
1. 2. The volume of a cylinder is 441 in3. The height of the cylinder is 9 in. Calculate the radius of the cylinder to the nearest tenth of a centimeter. 3. The volume of a cylinder is 794.3 cm3. The height of the cylinder is 7 cm. Calculate the radius of the cylinder to the nearest tenth of a centimeter. 4.
