Assignment Assignment for Lesson 3.1
|
|
|
- Shauna Allyson Fowler
- 7 years ago
- Views:
Transcription
1 Assignment Assignment for Lesson.1 Name Weaving a Rug Area and Perimeter of Rectangles and Squares 1. An artist is weaving a rectangular rug to match the pattern shown in the figure. Use the figure to answer parts (a) through (e). Gray 1 foot Red Yellow feet Gray 5 feet 6 feet 1 foot a. Calculate the area of the yellow region. Area of yellow region l w 6() 18 square feet b. Calculate the area of the red region. Area of red region s s s 5(5) 5 square feet c. Calculate the total area of the gray regions. Area of gray regions l w l w lw (6)(1) 1 square feet d. Calculate the area of the entire rug. Show your calculation in two different ways. Area of rug l w 11(5) 55 square feet or Area of rug square feet e. Suppose that the artist wants to add a braid trim around the edges of the rug. How many feet of braid trim will the artist need? 010 Carnegie Learning, Inc. Perimeter of rug l w (11) (5) feet The artist will need feet of braid trim. Chapter l Assignments 49
2 . Suppose you want to paint a rectangular mural. You want the perimeter of the mural to be feet. Sketch three rectangles on the grid shown to represent three possible sizes for your mural. Each square on the grid represents a square that is one foot long and one foot wide. Which of the three murals has the greatest area? Which of the three murals has the least area? Show your work. Sample answer: Rectangle 1 Rectangle Rectangle 010 Carnegie Learning, Inc. Rectangle 1: Rectangle : Perimeter 4(8) feet Perimeter (10) (6) feet Area 8(8) 64 square feet Area 10(6) 60 square feet Rectangle : Perimeter (1) (4) feet Area 1(4) 48 square feet Rectangle 1, which represents the mural with a length of 8 feet and a width of 8 feet, has the greatest area. Rectangle, which represents a mural with a length of 1 feet and a width of 4 feet, has the least area. 50 Chapter l Assignments
3 Name. A rectangle has an area of 16 square centimeters and a width of 9 centimeters. What is the length of the rectangle? A lw 16 9l 14 l The length of the rectangle is 14 centimeters. 4. A square has a perimeter of 68 inches. What is the length of a side of the square? P 4s 68 4s 17 s The length of a side of the square is 17 inches. 5. A rectangle has an area of 6 square feet and a length that is 4 times the width. What are the dimensions of the rectangle? Let x represent the width of the rectangle. Then 4 x represents the length. A lw 6 4x 9 x x The width of the rectangle is feet and the length of the rectangle is 4() 1 feet. 010 Carnegie Learning, Inc. Chapter l Assignments 51
4 Assignment Assignment for Lesson. Name Boundary Lines Area of Parallelograms and Triangles Calculate the area of each figure. Each square on the grid represents a square that is one meter long and one meter wide. 1.. Area 1(9) 117 square meters Area 1 (8)(11) 44 square meters. An artist receives a request from a client to create a rug that is the shape of a parallelogram. The artist charges $5 per square foot of rug. The client decides to pay $600 for the rug. Draw two different designs for the rug on the grid. What is the area, base, and height of each rug? Show your work. Sample answer: A 010 Carnegie Learning, Inc. B square feet 5 Each rug must have an area of 4 square feet. Rug A: Rug B: Area 4 square feet Area 4 square feet Base 6 feet Base 8 feet Height 4 feet Height feet Chapter l Assignments 5
5 4. You are making a kite out of nylon fabric. The height of the kite will be 6 inches and the widest part of the kite will be 4 inches as shown in the diagram. How much nylon fabric will you need to make the kite? Write the answer in square inches and square feet. 4 inches 6 inches Area of left triangle 1 (6)(1) 16 square inches Area of right triangle 1 (6)(1) 16 square inches Total area of kite square inches 4 square inches 1 square foot square feet 144 square inches You will need 4 square inches, or square feet, of nylon fabric to make the kite. 5. The sail on a boat is triangular and its area is 16 square feet. The base of the sail is 18 feet. What is the height of the sail? A 1 bh 16 1 (18)h 4 h The height of the sail is 4 feet. 010 Carnegie Learning, Inc. 54 Chapter l Assignments
6 Name 6. A triangular window in a beach house has a height of 48 inches and contains 178 square inches of glass. What is the base of the window? A 1 bh (48)b 7 b The base of the window is 7 inches. 010 Carnegie Learning, Inc. Chapter l Assignments 55
7 Assignment Assignment for Lesson. Name The Keystone Effect Area of a Trapezoid Calculate the area of each trapezoid. Each square on the grid represents a square that is one inch long and one inch wide. 1.. Area 1 (16 8)(8) Area 1 (1 7)(7) 96 square inches 70 square inches. The height of a trapezoid is 7 inches and the bases are 7 inches and 17 inches. What is the area of the trapezoid? A 1 (7 17)(7) 1 (4)(7) 84 The area of the trapezoid is 84 square inches. 4. Can the bases of a trapezoid be the same length? Explain. No. The bases cannot be the same length. If the bases are the same length, then the figure is a parallelogram and not a trapezoid. 010 Carnegie Learning, Inc. Chapter l Assignments 57
8 5. The area of a trapezoid is 09 square yards and the bases are 15 yards and yards. What is the height of the trapezoid? 09 1 (15 )h 09 19h 11 h The height of the trapezoid is 11 yards. 6. The area of a trapezoid is 150 square meters. The height is 10 meters and one base is two meters longer than the other base. What is each base? Let x represent one base. Then x represents the other base (x x )(10) 150 5(x ) x x 14 x One base is 14 meters and the other base is meters. 7. The area of a trapezoid is 5 square feet. The height is 4 feet and one base is twice the length of the other base. What is each base? Let x represent one base. Then x represents the other base. 010 Carnegie Learning, Inc. 5 1 (x x)(4) 5 1(x) 5 6x 7 x One base is 7 feet and the other base is (7) 14 feet. 58 Chapter l Assignments
9 Name 8. The height of a trapezoid is 4 units and the bases are units and 7 units. a. Draw the trapezoid on the grid below if the trapezoid is isosceles. Then calculate the area of the trapezoid. A 1 ( 7)(4) 1 (10)(4) 0 square units b. Draw the trapezoid on the grid below if the trapezoid contains one right angle. Then calculate the area of the trapezoid. A 1 ( 7)(4) 1 (10)(4) 0 square units c. Do the trapezoids in parts (a) and (b) have the same area? Explain. Yes. The trapezoids have the same area. Even though they are different shapes, they have the same base and height, and the base and height are the only measurements that determine the area of a trapezoid. 010 Carnegie Learning, Inc. Chapter l Assignments 59
10 Assignment Assignment for Lesson.4 Name Signs, Signs, Every Place There Are Signs! Area of Regular Polygons Calculate the area of each regular polygon ft 5.9 cm 18 ft 5 cm A 1 (18)(1.4)(5) A 1 (5)(5.9)(10) 558 square feet 94.5 square centimeters. A regular heptagon has a side length of 4 inches and an apothem of 4.9 inches. What is the area of the regular heptagon? A 1 (4)(4.9)(7) The area of the regular heptagon is square inches. 010 Carnegie Learning, Inc. 4. A stop sign has a perimeter of 160 inches and an apothem of 4.1 inches. What is the area of the stop sign? A 1 (160)(4.1) 198 The area of the stop sign is 198 square inches. Chapter l Assignments 61
11 5. A regular nonagon has an area of 78 square yards and an apothem of 10.5 yards. What is the length of a side of the regular nonagon? 78 1 (l)(10.5)(9) l 8 l The length of a side of the regular nonagon is 8 yards. 6. A regular polygon has an area of 10,080 square meters. The length of a side of the polygon is 0 meters and the apothem is 56 meters. What type of regular polygon is this? 10,080 1 (0)(56)(n) 10, n 1 n The regular polygon has 1 sides. Therefore, the polygon is a regular 1-gon. 7. A quilt is made by sewing together pieces of material that are shaped like regular hexagons. Each hexagon has an apothem of 1.7 inches and a perimeter of 1 inches. About how many regular hexagons will it take to make a quilt that is a 6-foot by 8-foot rectangle? Show all your work. Area of each hexagon 1 (1)(1.7) 10. square inches Area of the quilt (6 ft) (8 ft) (7 in.)(96 in.) 691 square inches Number of hexagons needed It will take approximately 678 hexagons to make the quilt. 010 Carnegie Learning, Inc. 6 Chapter l Assignments
12 Assignment Assignment for Lesson.5 Name Say Cheese! Area and Circumference of a Circle Calculate the circumference and area of each circle. Use.14 to approximate. Each square on the grid represents a square that is one centimeter long and one centimeter wide. 1.. C d cm C d cm A r cm A r cm. A circle has a diameter of 4 inches. What are the circumference and radius of the circle? Write your answers in terms of. 010 Carnegie Learning, Inc. C d 4 A r 89 The circumference of the circle is 4 inches and the area is 89 square inches. 4. A circle has a radius of 15 feet. What are the circumference and area of the circle? Write your answers in terms of. C d 0 A r 5 The circumference of the circle is 0 inches and the area is 5 square inches. Chapter l Assignments 6
13 5. Complete the table. Use.14 to approximate. Circle Radius Diameter Circumference Area Circle A 1 ft ft 6.8 ft.14 ft Circle B 8 m 56 m m m Circle C 8 yd 16 yd 50.4 yd yd Circle D 16 in. in in in. 6. What is the area of the annulus shown? Use.14 to approximate. Area of larger circle: 10 m 7.5 m A r (10 ) m Area of smaller circle: A r (7.5 ) m Area of annulus: A m The area of the annulus is approximately square meters. 7. Suppose that x represents the radius of circle A in inches. The radius of circle B is three times the radius of circle A. Use this information to answer the following questions. a. Write an expression for the diameter of circle A. x b. Write an expression for the radius of circle B. x c. Write an expression for the diameter of circle B. 6x 010 Carnegie Learning, Inc. 64 Chapter l Assignments
14 Name d. Write expressions in terms of for the circumferences of circles A and B. How does the circumference of circle B compare to the circumference of circle A? Circumference of circle A: Circumference of circle B: C d x C d 6 x The circumference of circle B is three times the circumference of circle A. e. Write expressions for the areas of circles A and B. How does the area of circle B compare to the area of circle A? Area of circle A: Area of circle B: A r x A r (x) 9x The area of circle B is nine times the area of circle A. 010 Carnegie Learning, Inc. Chapter l Assignments 65
15 Assignment Assignment for Lesson.6 Name Installing Carpeting and Tile Area and Perimeter of Composite Figures Calculate the area of each figure. Use.14 to approximate ft. 7 ft 7 ft 16 m 7 ft 7 ft 6 ft 9 m 8 m 7 m 5 ft 7 ft 5 ft 14 m A bh 1 ap bh A 1 bh 1 (b b )h 1 1 r bh 1 ap 1 (8(14) (8 16)7 64 ) (5)(6) 1 (6)(4) 1 ( ) 186 square feet square meters Draw an example of each term.. circle 4. polygon Circle C C A B Polygon ABCD Students may draw different polygons. Ensure that each figure fits the definition of a polygon. D C 010 Carnegie Learning, Inc. Chapter l Assignments 67
16 5. composite figure 6. area Area = 1 square units Students may draw different composite figures. Ensure that each figure fits the definition of a composite figure. Students may draw different figures, but each drawing should clearly express the concept of area. 010 Carnegie Learning, Inc. 68 Chapter l Assignments
Circumference Pi Regular polygon. Dates, assignments, and quizzes subject to change without advance notice.
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
Area of a triangle: The area of a triangle can be found with the following formula: You can see why this works with the following diagrams:
Area Review Area of a triangle: The area of a triangle can be found with the following formula: 1 A 2 bh or A bh 2 You can see why this works with the following diagrams: h h b b Solve: Find the area of
Geometry Unit 6 Areas and Perimeters
Geometry Unit 6 Areas and Perimeters Name Lesson 8.1: Areas of Rectangle (and Square) and Parallelograms How do we measure areas? Area is measured in square units. The type of the square unit you choose
Calculating Area, Perimeter and Volume
Calculating Area, Perimeter and Volume You will be given a formula table to complete your math assessment; however, we strongly recommend that you memorize the following formulae which will be used regularly
Chapter 7 Quiz. (1.) Which type of unit can be used to measure the area of a region centimeter, square centimeter, or cubic centimeter?
Chapter Quiz Section.1 Area and Initial Postulates (1.) Which type of unit can be used to measure the area of a region centimeter, square centimeter, or cubic centimeter? (.) TRUE or FALSE: If two plane
Characteristics of the Four Main Geometrical Figures
Math 40 9.7 & 9.8: The Big Four Square, Rectangle, Triangle, Circle Pre Algebra We will be focusing our attention on the formulas for the area and perimeter of a square, rectangle, triangle, and a circle.
Tallahassee Community College PERIMETER
Tallahassee Community College 47 PERIMETER The perimeter of a plane figure is the distance around it. Perimeter is measured in linear units because we are finding the total of the lengths of the sides
Perimeter is the length of the boundary of a two dimensional figure.
Section 2.2: Perimeter and Area Perimeter is the length of the boundary of a two dimensional figure. The perimeter of a circle is called the circumference. The perimeter of any two dimensional figure whose
2nd Semester Geometry Final Exam Review
Class: Date: 2nd Semester Geometry Final Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. The owner of an amusement park created a circular
PERIMETER AND AREA. In this unit, we will develop and apply the formulas for the perimeter and area of various two-dimensional figures.
PERIMETER AND AREA In this unit, we will develop and apply the formulas for the perimeter and area of various two-dimensional figures. Perimeter Perimeter The perimeter of a polygon, denoted by P, is the
SA B 1 p where is the slant height of the pyramid. V 1 3 Bh. 3D Solids Pyramids and Cones. Surface Area and Volume of a Pyramid
Accelerated AAG 3D Solids Pyramids and Cones Name & Date Surface Area and Volume of a Pyramid The surface area of a regular pyramid is given by the formula SA B 1 p where is the slant height of the pyramid.
Area and Circumference
4.4 Area and Circumference 4.4 OBJECTIVES 1. Use p to find the circumference of a circle 2. Use p to find the area of a circle 3. Find the area of a parallelogram 4. Find the area of a triangle 5. Convert
Student Outcomes. Lesson Notes. Classwork. Exercises 1 3 (4 minutes)
Student Outcomes Students give an informal derivation of the relationship between the circumference and area of a circle. Students know the formula for the area of a circle and use it to solve problems.
Perimeter. 14ft. 5ft. 11ft.
Perimeter The perimeter of a geometric figure is the distance around the figure. The perimeter could be thought of as walking around the figure while keeping track of the distance traveled. To determine
Applications for Triangles
Not drawn to scale Applications for Triangles 1. 36 in. 40 in. 33 in. 1188 in. 2 69 in. 2 138 in. 2 1440 in. 2 2. 188 in. 2 278 in. 2 322 in. 2 none of these Find the area of a parallelogram with the given
GAP CLOSING. 2D Measurement. Intermediate / Senior Student Book
GAP CLOSING 2D Measurement Intermediate / Senior Student Book 2-D Measurement Diagnostic...3 Areas of Parallelograms, Triangles, and Trapezoids...6 Areas of Composite Shapes...14 Circumferences and Areas
Show that when a circle is inscribed inside a square the diameter of the circle is the same length as the side of the square.
Week & Day Week 6 Day 1 Concept/Skill Perimeter of a square when given the radius of an inscribed circle Standard 7.MG:2.1 Use formulas routinely for finding the perimeter and area of basic twodimensional
Area. Area Overview. Define: Area:
Define: Area: Area Overview Kite: Parallelogram: Rectangle: Rhombus: Square: Trapezoid: Postulates/Theorems: Every closed region has an area. If closed figures are congruent, then their areas are equal.
MATH STUDENT BOOK. 6th Grade Unit 8
MATH STUDENT BOOK 6th Grade Unit 8 Unit 8 Geometry and Measurement MATH 608 Geometry and Measurement INTRODUCTION 3 1. PLANE FIGURES 5 PERIMETER 5 AREA OF PARALLELOGRAMS 11 AREA OF TRIANGLES 17 AREA OF
10-3 Area of Parallelograms
0-3 Area of Parallelograms MAIN IDEA Find the areas of parallelograms. NYS Core Curriculum 6.A.6 Evaluate formulas for given input values (circumference, area, volume, distance, temperature, interest,
Section 7.2 Area. The Area of Rectangles and Triangles
Section 7. Area The Area of Rectangles and Triangles We encounter two dimensional objects all the time. We see objects that take on the shapes similar to squares, rectangle, trapezoids, triangles, and
Area of Parallelograms (pages 546 549)
A Area of Parallelograms (pages 546 549) A parallelogram is a quadrilateral with two pairs of parallel sides. The base is any one of the sides and the height is the shortest distance (the length of a perpendicular
Area of a triangle: The area of a triangle can be found with the following formula: 1. 2. 3. 12in
Area Review Area of a triangle: The area of a triangle can be found with the following formula: 1 A 2 bh or A bh 2 Solve: Find the area of each triangle. 1. 2. 3. 5in4in 11in 12in 9in 21in 14in 19in 13in
43 Perimeter and Area
43 Perimeter and Area Perimeters of figures are encountered in real life situations. For example, one might want to know what length of fence will enclose a rectangular field. In this section we will study
Area is a measure of how much space is occupied by a figure. 1cm 1cm
Area Area is a measure of how much space is occupied by a figure. Area is measured in square units. For example, one square centimeter (cm ) is 1cm wide and 1cm tall. 1cm 1cm A figure s area is the number
Teacher Page Key. Geometry / Day # 13 Composite Figures 45 Min.
Teacher Page Key Geometry / Day # 13 Composite Figures 45 Min. 9-1.G.1. Find the area and perimeter of a geometric figure composed of a combination of two or more rectangles, triangles, and/or semicircles
Area of Parallelograms, Triangles, and Trapezoids (pages 314 318)
Area of Parallelograms, Triangles, and Trapezoids (pages 34 38) Any side of a parallelogram or triangle can be used as a base. The altitude of a parallelogram is a line segment perpendicular to the base
SURFACE AREA AND VOLUME
SURFACE AREA AND VOLUME In this unit, we will learn to find the surface area and volume of the following threedimensional solids:. Prisms. Pyramids 3. Cylinders 4. Cones It is assumed that the reader has
Area and Perimeter. Name: Class: Date: Short Answer
Name: Class: Date: ID: A Area and Perimeter Short Answer 1. The squares on this grid are 1 centimeter long and 1 centimeter wide. Outline two different figures with an area of 12 square centimeters and
Geometry - Calculating Area and Perimeter
Geometry - Calculating Area and Perimeter In order to complete any of mechanical trades assessments, you will need to memorize certain formulas. These are listed below: (The formulas for circle geometry
12 Surface Area and Volume
12 Surface Area and Volume 12.1 Three-Dimensional Figures 12.2 Surface Areas of Prisms and Cylinders 12.3 Surface Areas of Pyramids and Cones 12.4 Volumes of Prisms and Cylinders 12.5 Volumes of Pyramids
MCA Formula Review Packet
MCA Formula Review Packet 1 3 4 5 6 7 The MCA-II / BHS Math Plan Page 1 of 15 Copyright 005 by Claude Paradis 8 9 10 1 11 13 14 15 16 17 18 19 0 1 3 4 5 6 7 30 8 9 The MCA-II / BHS Math Plan Page of 15
Perimeter, Area, and Volume
Perimeter, Area, and Volume Perimeter of Common Geometric Figures The perimeter of a geometric figure is defined as the distance around the outside of the figure. Perimeter is calculated by adding all
CHAPTER 8, GEOMETRY. 4. A circular cylinder has a circumference of 33 in. Use 22 as the approximate value of π and find the radius of this cylinder.
TEST A CHAPTER 8, GEOMETRY 1. A rectangular plot of ground is to be enclosed with 180 yd of fencing. If the plot is twice as long as it is wide, what are its dimensions? 2. A 4 cm by 6 cm rectangle has
Postulate 17 The area of a square is the square of the length of a. Postulate 18 If two figures are congruent, then they have the same.
Chapter 11: Areas of Plane Figures (page 422) 11-1: Areas of Rectangles (page 423) Rectangle Rectangular Region Area is measured in units. Postulate 17 The area of a square is the square of the length
Geometry Notes VOLUME AND SURFACE AREA
Volume and Surface Area Page 1 of 19 VOLUME AND SURFACE AREA Objectives: After completing this section, you should be able to do the following: Calculate the volume of given geometric figures. Calculate
PART 3 MODULE 8 PROBLEMS INVOLVING AREA
PART 3 MODULE 8 PROBLEMS INVOLVING AREA We will be examining a variety of real-world problems that can be solved by referring to familiar facts from elementary geometry. These problems will usually require
Grade 8 Mathematics Geometry: Lesson 2
Grade 8 Mathematics Geometry: Lesson 2 Read aloud to the students the material that is printed in boldface type inside the boxes. Information in regular type inside the boxes and all information outside
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Santa Monica College COMPASS Geometry Sample Test MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the area of the shaded region. 1) 5 yd 6 yd
MEASUREMENTS. U.S. CUSTOMARY SYSTEM OF MEASUREMENT LENGTH The standard U.S. Customary System units of length are inch, foot, yard, and mile.
MEASUREMENTS A measurement includes a number and a unit. 3 feet 7 minutes 12 gallons Standard units of measurement have been established to simplify trade and commerce. TIME Equivalences between units
B = 1 14 12 = 84 in2. Since h = 20 in then the total volume is. V = 84 20 = 1680 in 3
45 Volume Surface area measures the area of the two-dimensional boundary of a threedimensional figure; it is the area of the outside surface of a solid. Volume, on the other hand, is a measure of the space
Geometry and Measurement
The student will be able to: Geometry and Measurement 1. Demonstrate an understanding of the principles of geometry and measurement and operations using measurements Use the US system of measurement for
Basic Math for the Small Public Water Systems Operator
Basic Math for the Small Public Water Systems Operator Small Public Water Systems Technology Assistance Center Penn State Harrisburg Introduction Area In this module we will learn how to calculate the
Solving Geometric Applications
1.8 Solving Geometric Applications 1.8 OBJECTIVES 1. Find a perimeter 2. Solve applications that involve perimeter 3. Find the area of a rectangular figure 4. Apply area formulas 5. Apply volume formulas
Area and Volume Equations
Area and Volume Equations MODULE 16? ESSENTIAL QUESTION How can you use area and volume equations to solve real-world problems? LESSON 16.1 Area of Quadrilaterals 6.8.B, 6.8.D LESSON 16. Area of Triangles
Filling and Wrapping: Homework Examples from ACE
Filling and Wrapping: Homework Examples from ACE Investigation 1: Building Smart Boxes: Rectangular Prisms, ACE #3 Investigation 2: Polygonal Prisms, ACE #12 Investigation 3: Area and Circumference of
Target To know the properties of a rectangle
Target To know the properties of a rectangle (1) A rectangle is a 3-D shape. (2) A rectangle is the same as an oblong. (3) A rectangle is a quadrilateral. (4) Rectangles have four equal sides. (5) Rectangles
YOU MUST BE ABLE TO DO THE FOLLOWING PROBLEMS WITHOUT A CALCULATOR!
DETAILED SOLUTIONS AND CONCEPTS - SIMPLE GEOMETRIC FIGURES Prepared by Ingrid Stewart, Ph.D., College of Southern Nevada Please Send Questions and Comments to ingrid.stewart@csn.edu. Thank you! YOU MUST
Grade 3 Core Standard III Assessment
Grade 3 Core Standard III Assessment Geometry and Measurement Name: Date: 3.3.1 Identify right angles in two-dimensional shapes and determine if angles are greater than or less than a right angle (obtuse
Georgia Online Formative Assessment Resource (GOFAR) AG geometry domain
AG geometry domain Name: Date: Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (1 of 36 ) 1. Amy drew a circle graph to represent
FCAT FLORIDA COMPREHENSIVE ASSESSMENT TEST. Mathematics Reference Sheets. Copyright Statement for this Assessment and Evaluation Services Publication
FCAT FLORIDA COMPREHENSIVE ASSESSMENT TEST Mathematics Reference Sheets Copyright Statement for this Assessment and Evaluation Services Publication Authorization for reproduction of this document is hereby
1. Kyle stacks 30 sheets of paper as shown to the right. Each sheet weighs about 5 g. How can you find the weight of the whole stack?
Prisms and Cylinders Answer Key Vocabulary: cylinder, height (of a cylinder or prism), prism, volume Prior Knowledge Questions (Do these BEFORE using the Gizmo.) [Note: The purpose of these questions is
Geometry Notes PERIMETER AND AREA
Perimeter and Area Page 1 of 57 PERIMETER AND AREA Objectives: After completing this section, you should be able to do the following: Calculate the area of given geometric figures. Calculate the perimeter
12-1 Representations of Three-Dimensional Figures
Connect the dots on the isometric dot paper to represent the edges of the solid. Shade the tops of 12-1 Representations of Three-Dimensional Figures Use isometric dot paper to sketch each prism. 1. triangular
Finding Volume of Rectangular Prisms
MA.FL.7.G.2.1 Justify and apply formulas for surface area and volume of pyramids, prisms, cylinders, and cones. MA.7.G.2.2 Use formulas to find surface areas and volume of three-dimensional composite shapes.
Angle - a figure formed by two rays or two line segments with a common endpoint called the vertex of the angle; angles are measured in degrees
Angle - a figure formed by two rays or two line segments with a common endpoint called the vertex of the angle; angles are measured in degrees Apex in a pyramid or cone, the vertex opposite the base; in
WEIGHTS AND MEASURES. Linear Measure. 1 Foot12 inches. 1 Yard 3 feet - 36 inches. 1 Rod 5 1/2 yards - 16 1/2 feet
WEIGHTS AND MEASURES Linear Measure 1 Foot12 inches 1 Yard 3 feet - 36 inches 1 Rod 5 1/2 yards - 16 1/2 feet 1 Furlong 40 rods - 220 yards - 660 feet 1 Mile 8 furlongs - 320 rods - 1,760 yards 5,280 feet
Surface Area Quick Review: CH 5
I hope you had an exceptional Christmas Break.. Now it's time to learn some more math!! :) Surface Area Quick Review: CH 5 Find the surface area of each of these shapes: 8 cm 12 cm 4cm 11 cm 7 cm Find
TEKS TAKS 2010 STAAR RELEASED ITEM STAAR MODIFIED RELEASED ITEM
7 th Grade Math TAKS-STAAR-STAAR-M Comparison Spacing has been deleted and graphics minimized to fit table. (1) Number, operation, and quantitative reasoning. The student represents and uses numbers in
1-6 Two-Dimensional Figures. Name each polygon by its number of sides. Then classify it as convex or concave and regular or irregular.
Stop signs are constructed in the shape of a polygon with 8 sides of equal length The polygon has 8 sides A polygon with 8 sides is an octagon All sides of the polygon are congruent and all angles are
UNIT H1 Angles and Symmetry Activities
UNIT H1 Angles and Symmetry Activities Activities H1.1 Lines of Symmetry H1.2 Rotational and Line Symmetry H1.3 Symmetry of Regular Polygons H1.4 Interior Angles in Polygons Notes and Solutions (1 page)
Chapter 4: Area, Perimeter, and Volume. Geometry Assessments
Chapter 4: Area, Perimeter, and Volume Geometry Assessments Area, Perimeter, and Volume Introduction The performance tasks in this chapter focus on applying the properties of triangles and polygons to
Chapter 8 Geometry We will discuss following concepts in this chapter.
Mat College Mathematics Updated on Nov 5, 009 Chapter 8 Geometry We will discuss following concepts in this chapter. Two Dimensional Geometry: Straight lines (parallel and perpendicular), Rays, Angles
Shape Dictionary YR to Y6
Shape Dictionary YR to Y6 Guidance Notes The terms in this dictionary are taken from the booklet Mathematical Vocabulary produced by the National Numeracy Strategy. Children need to understand and use
Chapter 11. Areas of Plane Figures You MUST draw diagrams and show formulas for every applicable homework problem!
Chapter 11 Areas of Plane Figures You MUST draw diagrams and show formulas for every applicable homework problem! Objectives A. Use the terms defined in the chapter correctly. B. Properly use and interpret
Inv 1 5. Draw 2 different shapes, each with an area of 15 square units and perimeter of 16 units.
Covering and Surrounding: Homework Examples from ACE Investigation 1: Questions 5, 8, 21 Investigation 2: Questions 6, 7, 11, 27 Investigation 3: Questions 6, 8, 11 Investigation 5: Questions 15, 26 ACE
2006 Geometry Form A Page 1
2006 Geometry Form Page 1 1. he hypotenuse of a right triangle is 12" long, and one of the acute angles measures 30 degrees. he length of the shorter leg must be: () 4 3 inches () 6 3 inches () 5 inches
GAP CLOSING. Volume and Surface Area. Intermediate / Senior Student Book
GAP CLOSING Volume and Surface Area Intermediate / Senior Student Book Volume and Surface Area Diagnostic...3 Volumes of Prisms...6 Volumes of Cylinders...13 Surface Areas of Prisms and Cylinders...18
Quick Reference ebook
This file is distributed FREE OF CHARGE by the publisher Quick Reference Handbooks and the author. Quick Reference ebook Click on Contents or Index in the left panel to locate a topic. The math facts listed
VOLUME of Rectangular Prisms Volume is the measure of occupied by a solid region.
Math 6 NOTES 7.5 Name VOLUME of Rectangular Prisms Volume is the measure of occupied by a solid region. **The formula for the volume of a rectangular prism is:** l = length w = width h = height Study Tip:
Pizza! Pizza! Assessment
Pizza! Pizza! Assessment 1. A local pizza restaurant sends pizzas to the high school twelve to a carton. If the pizzas are one inch thick, what is the volume of the cylindrical shipping carton for the
Solids. Objective A: Volume of a Solids
Solids Math00 Objective A: Volume of a Solids Geometric solids are figures in space. Five common geometric solids are the rectangular solid, the sphere, the cylinder, the cone and the pyramid. A rectangular
Area of Circles. 2. Use a ruler to measure the diameter and the radius to the nearest half centimeter and record in the blanks above.
Name: Area of Circles Label: Length: Label: Length: A Part 1 1. Label the diameter and radius of Circle A. 2. Use a ruler to measure the diameter and the radius to the nearest half centimeter and recd
How do you compare numbers? On a number line, larger numbers are to the right and smaller numbers are to the left.
The verbal answers to all of the following questions should be memorized before completion of pre-algebra. Answers that are not memorized will hinder your ability to succeed in algebra 1. Number Basics
12 Surface Area and Volume
CHAPTER 12 Surface Area and Volume Chapter Outline 12.1 EXPLORING SOLIDS 12.2 SURFACE AREA OF PRISMS AND CYLINDERS 12.3 SURFACE AREA OF PYRAMIDS AND CONES 12.4 VOLUME OF PRISMS AND CYLINDERS 12.5 VOLUME
Course 2 Summer Packet For students entering 8th grade in the fall
Course 2 Summer Packet For students entering 8th grade in the fall The summer packet is comprised of important topics upcoming eighth graders should know upon entering math in the fall. Please use your
11.3 Curves, Polygons and Symmetry
11.3 Curves, Polygons and Symmetry Polygons Simple Definition A shape is simple if it doesn t cross itself, except maybe at the endpoints. Closed Definition A shape is closed if the endpoints meet. Polygon
9 Area, Perimeter and Volume
9 Area, Perimeter and Volume 9.1 2-D Shapes The following table gives the names of some 2-D shapes. In this section we will consider the properties of some of these shapes. Rectangle All angles are right
Volume of Pyramids and Cones
Volume of Pyramids and Cones Objective To provide experiences with investigating the relationships between the volumes of geometric solids. www.everydaymathonline.com epresentations etoolkit Algorithms
Imperial Length Measurements
Unit I Measuring Length 1 Section 2.1 Imperial Length Measurements Goals Reading Fractions Reading Halves on a Measuring Tape Reading Quarters on a Measuring Tape Reading Eights on a Measuring Tape Reading
GAP CLOSING. 2D Measurement GAP CLOSING. Intermeditate / Senior Facilitator s Guide. 2D Measurement
GAP CLOSING 2D Measurement GAP CLOSING 2D Measurement Intermeditate / Senior Facilitator s Guide 2-D Measurement Diagnostic...4 Administer the diagnostic...4 Using diagnostic results to personalize interventions...4
8 th Grade Task 2 Rugs
8 th Grade Task 2 Rugs Student Task Core Idea 4 Geometry and Measurement Find perimeters of shapes. Use Pythagorean theorem to find side lengths. Apply appropriate techniques, tools and formulas to determine
Volume of Right Prisms Objective To provide experiences with using a formula for the volume of right prisms.
Volume of Right Prisms Objective To provide experiences with using a formula for the volume of right prisms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game
Lesson 21. Circles. Objectives
Student Name: Date: Contact Person Name: Phone Number: Lesson 1 Circles Objectives Understand the concepts of radius and diameter Determine the circumference of a circle, given the diameter or radius Determine
Demystifying Surface Area and Volume
Demystifying Surface and Volume CYLINDER 1. Use the net of the cylinder provided. Measure in centimeters and record the radius of the circle, and the length and width of the rectangle. radius = length
Unit 7 Circles. Vocabulary and Formulas for Circles:
ccelerated G Unit 7 ircles Name & ate Vocabulary and Formulas for ircles: irections: onsider 1) Find the circumference of the circle. to answer the following questions. Exact: pproximate: 2) Find the area
39 Symmetry of Plane Figures
39 Symmetry of Plane Figures In this section, we are interested in the symmetric properties of plane figures. By a symmetry of a plane figure we mean a motion of the plane that moves the figure so that
IWCF United Kingdom Branch
IWCF United Kingdom Branch Drilling Calculations Distance Learning Programme Part 2 Areas and Volumes IWCF UK Branch Distance Learning Programme - DRILLING CALCULATIONS Contents Introduction Training objectives
MAIN IDEA The rectangle at the right has an area of 20 square units. The distance around the rectangle is 5 + 4 + 5 + 4, or 18 units.
1-9 Algebra: Area Formulas MAIN IDEA The rectangle at the right has an area of 20 square units. The distance around the rectangle is 5 + 4 + 5 + 4, or 1. Find the areas of rectangles and squares. New Vocabulary
Geometry EOC Practice Test #2
Class: Date: Geometry EOC Practice Test #2 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Rebecca is loading medical supply boxes into a crate. Each supply
Algebra Geometry Glossary. 90 angle
lgebra Geometry Glossary 1) acute angle an angle less than 90 acute angle 90 angle 2) acute triangle a triangle where all angles are less than 90 3) adjacent angles angles that share a common leg Example:
Calculating Perimeter
Calculating Perimeter and Area Formulas are equations used to make specific calculations. Common formulas (equations) include: P = 2l + 2w perimeter of a rectangle A = l + w area of a square or rectangle
Cumulative Test. 161 Holt Geometry. Name Date Class
Choose the best answer. 1. P, W, and K are collinear, and W is between P and K. PW 10x, WK 2x 7, and PW WK 6x 11. What is PK? A 2 C 90 B 6 D 11 2. RM bisects VRQ. If mmrq 2, what is mvrm? F 41 H 9 G 2
Geometry of 2D Shapes
Name: Geometry of 2D Shapes Answer these questions in your class workbook: 1. Give the definitions of each of the following shapes and draw an example of each one: a) equilateral triangle b) isosceles
Section 7.1 Solving Right Triangles
Section 7.1 Solving Right Triangles Note that a calculator will be needed for most of the problems we will do in class. Test problems will involve angles for which no calculator is needed (e.g., 30, 45,
Open-Ended Problem-Solving Projections
MATHEMATICS Open-Ended Problem-Solving Projections Organized by TEKS Categories TEKSING TOWARD STAAR 2014 GRADE 7 PROJECTION MASTERS for PROBLEM-SOLVING OVERVIEW The Projection Masters for Problem-Solving
The GED math test gives you a page of math formulas that
Math Smart 643 The GED Math Formulas The GED math test gives you a page of math formulas that you can use on the test, but just seeing the formulas doesn t do you any good. The important thing is understanding
How To Draw A Similar Figure From A Different Perspective
Chapter 6 Similarity of Figures 6.1 Similar Polygons 6.2 Determining if two Polygons are Similar 6.3 Drawing Similar Polygons 6.4 Similar Triangles 21 Name: 6.1 Similar Polygons A. What makes something
G3-33 Building Pyramids
G3-33 Building Pyramids Goal: Students will build skeletons of pyramids and describe properties of pyramids. Prior Knowledge Required: Polygons: triangles, quadrilaterals, pentagons, hexagons Vocabulary:
Sandia High School Geometry Second Semester FINAL EXAM. Mark the letter to the single, correct (or most accurate) answer to each problem.
Sandia High School Geometry Second Semester FINL EXM Name: Mark the letter to the single, correct (or most accurate) answer to each problem.. What is the value of in the triangle on the right?.. 6. D.