2D Geometry Part 2: Area
|
|
|
- Gabriel Gibbs
- 5 years ago
- Views:
Transcription
1 Slide 1 / 81 Slide 2 / 81 2D Geometry Part 2: Area Rectangles Parallelograms Triangles Trapezoids Circles Mixed Review Irregular Shapes Shaded Regions Click on a topic to go to that section Slide 3 / 81 Slide 4 / 81 Area - The number of square units (units 2 ) it takes to cover the surface of a figure. ALWAYS label units 2!!! Rectangles 12 ft 6 ft Slide 5 / 81 Slide 6 / 81 How many 1 ft 2 tiles does it take to cover the rectangle? Use the squares to find out! Look for a faster way than covering the whole figure. 12 ft The Area (A) of a rectangle is found by using the formula: A = length(width) A = lw The Area (A) of a square is found by using the formula: A = side(side) A = s 2 6 ft
2 Slide 7 / 81 Slide 8 / 81 1 What is the Area (A) of the figure? 2 Find the area of the figure below. 15 ft 7 6 ft Slide 9 / 81 Slide 10 / 81 3 Dr. Dan wants to keep his kitten from running through his flower bed by putting up some fencing. The flower bed is 10 ft. by 6ft. Will Dr. Dan need to know the area or the perimeter of his flower bed to keep his kitty from trampling the flowers? A Area 4 Now solve the problem... Dr. Dan wants to keep his kitten from running through his flower bed by putting up some fencing. The flower bed is 10 ft. by 6ft. How much fencing will he need? B Perimeter Slide 11 / 81 Slide 12 / 81 Area of a Parallelogram Let's use the same process as we did for the rectangle. How many 1 ft 2 tiles fit across the bottom of the parallelogram? Parallelograms
3 Slide 13 / 81 Slide 14 / 81 Area of a Parallelogram. How does this help us find the area of the parallelogram? Let's use the same process as we did for the rectangle. If we build the parallelogram with rows of 14 ft 2, what happens? 5 ft 14 ft 14 ft How do you find the area of a parallelogram? How tall is the parallelogram? How can you tell? Slide 15 / 81 Slide 16 / 81 Example. The Area (A) of a parallelogram is found by using the formula: Find the area of the figure. A = base(height) A = bh Note: The base & height always form a right angle! 4 cm 2.2 cm 2.2 cm 1.9 cm 4 cm Slide 17 / 81 Slide 18 / 81 Try These. Find the area of the figures. 11 m 5 Find the area m 14 m 11 ft 10 ft 11 m 12 ft
4 Slide 19 / 81 Slide 20 / 81 6 Find the area. 7 Find the area. 17 in 7 m 12 in 10 in 12 in 13 m 13 m 11 m 17 in 7 m Slide 21 / 81 Slide 22 / 81 8 Find the area. 12 cm 11 cm 9 cm Triangles Slide 23 / 81 Area of a Triangle Let's use the same process as we did for the rectangle & parallelogram. How many 1 ft 2 tiles fit across the bottom of the triangle? Slide 24 / 81 Area of a Triangle If we continue to build the triangle with rows of 10 ft 2, what happens? 10 ft How tall is the triangle? How can you tell?
5 Slide 25 / 81 How does this help us find the area of the triangle? Is this true for all triangles? Let's see! Slide 26 / 81 4 ft 10 ft See that the rectangle we built is twice as large as the triangle. How do you find the area of a triangle? Calculating base(height) results in 2 triangles! 14 ft Slide 27 / 81 The Area (A) of a triangle is found by using the formula: Example. Find the area of the figure. Slide 28 / 81 Note: The base & height always form a right angle! 4 cm 10 cm 10 cm 6 cm Slide 29 / 81 Slide 30 / 81 Try These. Find the area of the figures. 9 Find the area. 13 ft 9 ft 12 ft in 8 in 10 in 11 ft 15 5 in
6 Slide 31 / 81 Slide 32 / Find the area 9 m 8 m 12 m Trapezoids 15 m Slide 33 / 81 Area of a Trapezoid Cut the trapezoid in half horizontally Rotate the top half so it lies next to the bottom half A parallelogram is created Slide 34 / 81 The Area (A) of a trapezoid is found by using the formula: See the diagrams below Base 1 Height Note: The base & height always form a right angle! Base 2 Base 2 Base 1 Slide 35 / 81 Slide 36 / 81 Example. Find the area of the figure. Try These. Find the area of the figures. 12 cm 13 ft cm 11 cm 11 ft 9 ft 11 ft 11 ft cm
7 Slide 37 / 81 Slide 38 / Find the area of the trapezoid. 12 Find the area of the trapezoid. 4 m 22 cm 6.5 m 8 cm 10 m 14 cm Slide 39 / 81 Slide 40 / 81 Area of a Circle The Area (A) of a Circle is found by solving the following formula: Circles Slide 41 / 81 Slide 42 / 81 7 cm Find the area of the circle. A = # r 2 1. Substitute the radius into formula. A = # (7) 2 2. Use 3.14 as an approximation for #. A = 3.14(49) A = cm 2 3. Don't forget to label the units as square units. 13 What is the Area (A) of a Circle with a radius (r) of 8 m? 8 m
8 Slide 43 / What is the Area (A) of the circle? Slide 44 / What is the Area (A) of the circle? Slide 45 / A circular sprinkler sprays water with a radius of 11 ft. How much area can the sprinkler cover? Slide 46 / What is the area of a circle with a diameter of 24 yds? Slide 47 / What is the radius of a circle whose area is mm 2? Slide 48 / A circular pool has an area of ft 2. What is its diameter?
9 Slide 49 / 81 Slide 50 / 81 Mixed Review: Perimeter, Circumference & Area 20 Find the perimeter of the figure. 5 cm 4 cm 3 cm 4 cm 11 cm 21 Find the area of the figure. Slide 51 / 81 Slide 52 / Find the perimeter of the figure. 8 yd 9 yd 4 yd 8 yd 4 m 7 m Slide 53 / 81 Slide 54 / Find the circumference of the figure. 24 Find the area of the figure. 9 in 5 in 12 in 12 in
10 Slide 55 / 81 Slide 56 / Find the area of the figure. 26 Find the perimeter of the figure. 5 cm 4 cm 3 cm 4 cm 9 in 5 in 12 in 11 cm Slide 57 / 81 Slide 58 / Find the perimeter of the figure. 28 Find the area of the figure. 8 yd 4 yd 8 yd 12 in 9 yd Slide 59 / 81 Slide 60 / Find the area of the figure. 4 m 7 m
11 Slide 61 / 81 Slide 62 / 81 Area of Irregular Figures Method #1 Irregular Figures 1. Divide the figure into smaller figures (that you know how to find the area of) 2. Label each small figure and find the area of each 3. Add the areas 4. Label your answer Slide 63 / 81 Slide 64 / 81 Example: Find the area of the figure. 3 m 2 m 10 m 6 m Area of Irregular Figures Method #2 1. Create one large, closed figure. 2. Label the small added figure and find the area. 3 m 3. Find the area of the new, large figure 2 m #1 #2 10 m 6 m 4. Subtract the areas 5. Label your answer Slide 65 / 81 Slide 66 / 81 Example: Find the area of the figure. 3 m 2 m Try These: Find the area of each figure. 3 m 2 m 6 m Whole Rectangle 10 m 6 m Extra Rectangle 2m 4m 5m 2m 10 ft 20 ft 8 ft 16 ft 10 m
12 Slide 67 / 81 Slide 68 / Find the area. Top Rectangle 31 Find the area. 2.5' 2.5' 5.25' 4' 1.5' 8.75' Bottom Rectangle Vertical Rectangle Total Area Whole New Figure New Rectangle Total Area 7.75' Slide 69 / 81 Slide 70 / Find the area. 33 Find the area. Side Rectangle 8 cm 58 cm Triangle 4 ft. Bottom Right Rectangle 15 cm 5 ft. Rectangle 9 ft. Half Circle Total Area 6 ft. Total Area Slide 71 / 81 Slide 72 / 81 Area of a Shaded Region 1. Find area of whole figure. Shaded Regions 2. Find area of unshaded figure(s). 3. Subtract unshaded area from whole figure. 4. Label answer with units 2
13 Slide 73 / 81 Slide 74 / 81 Example Try This Find the area of the shaded region. 20 ft Area Whole Rectangle Find the area of the shaded region. Area Whole Square 7 ft 7 ft 15 ft Area Unshaded Square Area Circle Area Shaded Region 14 cm Area Shaded Region Slide 75 / 81 Slide 76 / 81 Try This Find the area of the shaded region. Area Trapezoid 34 Find the area of the shaded region. Area Whole Rectangle 20 m 3 m 12 m Area Rectangle 6' 2' 4' Area Unshaded 8 m 2 m Area Shaded Region Area Shaded Region 8' Slide 77 / 81 Slide 78 / Find the area of the shaded region. 36 Find the area of the shaded region. Area Parallelogram 8" Area Whole 11" 8" 7" 6" Area Triangle 14" 8" 4" 6" Area Rectangle 12" Area Shaded Region 12" Area Shaded Region
14 Slide 79 / 81 Slide 80 / Find the area of the shaded region. Area Circle 38 A cement path 3 feet wide is poured around a rectangular pool. If the pool is 15 feet by 7 feet, how much cement was needed to create the path? Area Path & Pool 4 yd Area Triangle Area Pool Area Shaded Region Area Path Slide 81 / 81
2D Geometry Part 2: Area
Slide 1 / 81 2D Geometry Part 2: Area Table of Contents Slide 2 / 81 Rectangles Parallelograms Triangles Trapezoids Circles Mixed Review Irregular Shapes Shaded Regions Click on a topic to go to that section
GEOMETRY. slide #3. 6th Grade Math Unit 7. 6th Grade Unit 7: GEOMETRY. Name: Table of Contents. Area of Rectangles
Name: 6th Grade Math Unit 7 GEOMETRY 2012 10 17 www.njctl.org 1 Table of Contents Area of Rectangles Area of Parallelograms Area of Triangles Area of Trapezoids Mixed Review Area of Irregular Figures Area
Area. Domain 4 Lesson 25. Getting the Idea
Domain 4 Lesson 5 Area Common Core Standard: 7.G.6 Getting the Idea The area of a figure is the number of square units inside the figure. Below are some formulas that can be used to find the areas of common
Someone else might choose to describe the closet by determining how many square tiles it would take to cover the floor. 6 ft.
Areas Rectangles One way to describe the size of a room is by naming its dimensions. So a room that measures 12 ft. by 10 ft. could be described by saying its a 12 by 10 foot room. In fact, that is how
Circular Reasoning. Solving Area and Circumference. Problems. WARM UP Determine the area of each circle. Use 3.14 for π.
Circular Reasoning Solving Area and Circumference 3 Problems WARM UP Determine the area of each circle. Use 3.14 for π. 1. 4 in. 2. 3.8 cm LEARNING GOALS Use the area and circumference formulas for a circle
Chapter Test Form A. 173 Holt Geometry. Name Date Class. 1. Find the area of the triangle.
Form A 1. Find the area of the triangle. 6. A square has a perimeter of 8 inches. Find the area of the square. cm 7. Find the circumference of C in terms of.. Find the area of the parallelogram. 11 cm
SPRINGBOARD UNIT 5 GEOMETRY
SPRINGBOARD UNIT 5 GEOMETRY 5.1 Area and Perimeter Perimeter the distance around an object. To find perimeter, add all sides. Area the amount of space inside a 2 dimensional object. Measurements for area
Unit E Geometry Unit Review Packet
Unit E Geometry Unit Review Packet Name Directions: Do ALL (A) Questions. Check Your Answers to (A) Questions. If ALL (A) Questions are correct, skip (B) Questions and move onto next I can statement. If
CCBC Math 081 Geometry Section 2.2
2.2 Geometry Geometry is the study of shapes and their mathematical properties. In this section, we will learn to calculate the perimeter, area, and volume of a few basic geometric shapes. Perimeter We
Properties of a Circle Diagram Source:
Properties of a Circle Diagram Source: http://www.ricksmath.com/circles.html Definitions: Circumference (c): The perimeter of a circle is called its circumference Diameter (d): Any straight line drawn
Area rectangles & parallelograms
Area rectangles & parallelograms Rectangles One way to describe the size of a room is by naming its dimensions. So a room that measures 12 ft. by 10 ft. could be described by saying its a 12 by 10 foot
Area and Perimeter. Perimeter Class Work Find the perimeter of the following figures
Area and Perimeter Perimeter Find the perimeter of the following figures. 1. 2. 3. 4. The length of a rectangle is 7 cm and its width is 5 cm, what is the rectangles perimeter? 5. An equilateral triangle
Area of Polygons And Circles
Name: Date: Geometry 2011-2012 Area of Polygons And Circles Name: Teacher: Pd: Table of Contents DAY 1: SWBAT: Calculate the area and perimeter of Parallelograms and Triangles Pgs: 1-5 HW: Pgs: 6-7 DAY
9.2. Polygons. Copyright 2005 Pearson Education, Inc.
9.2 Polygons Polygons Polygons are names according to their number of sides. Number of Sides Name Number of Sides Name 3 Triangle 8 Octagon 4 Quadrilateral 9 Nonagon 5 Pentagon 10 Decagon 6 Hexagon 12
Sect Volume. 3 ft. 2 ft. 5 ft
199 Sect 8.5 - Volume Objective a & b: Understanding Volume of Various Solids The Volume is the amount of space a three dimensional object occupies. Volume is measured in cubic units such as in or cm.
6th Grade. Slide 1 / 219. Slide 2 / 219. Slide 3 / 219. Geometry. Table of Contents
Slide 1 / 219 Slide 2 / 219 6th Grade Geometry 2015-12-01 www.njctl.org Table of Contents Area of Rectangles Click on a topic to Area of Parallelograms go to that section Area of Right Triangles Area of
Perimeter, Area, Surface Area, & Volume
Additional Options: Hide Multiple Choice Answers (Written Response) Open in Microsoft Word (add page breaks and/or edit questions) Generation Date: 11/25/2009 Generated By: Margaret Buell Copyright 2009
Geometry. Geometry is the study of shapes and sizes. The next few pages will review some basic geometry facts. Enjoy the short lesson on geometry.
Geometry Introduction: We live in a world of shapes and figures. Objects around us have length, width and height. They also occupy space. On the job, many times people make decision about what they know
10 Perimeter and Area
CHAPTER 10 Perimeter and Area Chapter Outline 10.1 TRIANGLES AND PARALLELOGRAMS 10.2 TRAPEZOIDS, RHOMBI, AND KITES 10.3 AREAS OF SIMILAR POLYGONS 10.4 CIRCUMFERENCE AND ARC LENGTH 10.5 AREAS OF CIRCLES
11.4 Volume of Prisms and Cylinders
11.4 Volume of Prisms and Cylinders Learning Objectives Find the volume of a prism. Find the volume of a cylinder. Review Queue 1. Define volume in your own words. 2. What is the surface area of a cube
Meet #2. Park Forest Math Team. Self-study Packet
Park Forest Math Team Meet #2 Self-study Packet Problem Categories for this Meet (in addition to topics of earlier meets): 1. Mystery: Problem solving 2. : rea and perimeter of polygons 3. Number Theory:
Kansas City Area Teachers of Mathematics 2018 KCATM Math Competition
Kansas City Area Teachers of Mathematics 2018 KCATM Math Competition GEOMETRY AND MEASUREMENT TEST GRADE 6 #51-90 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 20 minutes
10-3 Composite Figures
10-3 Composite Figures Warm Up Lesson Presentation Lesson Quiz Geometry Warm Up Find the area of each figure. 1. a rectangle in which b = 14 cm and h = 5 cm A = 70 cm 2 2. a triangle in which b = 6 in.
Name (s) Class Date ERROR ANALYSIS GEOMETRY WORD PROBLEMS
7 th Grade Common Core Name (s) Class Date ERROR ANALYSIS GEOMETRY WORD PROBLEMS Includes: * Angles * Triangles * Scale Drawings * Area and Circumference of a Circle * Volume of Prisms and Pyramids * Surface
9-1. Warm Up Lesson Presentation Lesson Quiz. Holt Geometry
9-1 9-1 Warm Up Lesson Presentation Lesson Quiz Warm Up Find the unknown side length in each right triangle with legs a and b and hypotenuse c. 1. a = 20, b = 21 2. b = 21, c = 35 3. a = 20, c = 52 c =
S8.6 Volume. Section 1. Surface area of cuboids: Q1. Work out the surface area of each cuboid shown below:
Things to Learn (Key words, Notation & Formulae) Complete from your notes Radius- Diameter- Surface Area- Volume- Capacity- Prism- Cross-section- Surface area of a prism- Surface area of a cylinder- Volume
Worksheets for GCSE Mathematics. Perimeter & Area. Mr Black's Maths Resources for Teachers GCSE 1-9. Shape
Worksheets for GCSE Mathematics Perimeter & Area Mr Black's Maths Resources for Teachers GCSE 1-9 Shape Perimeter & Area Worksheets Contents Differentiated Independent Learning Worksheets Perimeter of
Chapters 11 and 12 Study Guide Name: Length, Area, Surface Area, Block: and Volume of Solids
Page 1 of 15 Chapters 11 and 12 Study Guide Name: Length, Area, Surface Area, Block: 1 2 3 4 5 6 7 8 and Volume of Solids SOL G.13 The student will use formulas for surface area and volume of three-dimensional
Review: Geometry. Area Composite Figures Surface Area Volume Fractional Edge Length 3-D Figures and Nets Coordinate Graphing
Review: Geometry Area Composite Figures Surface Area Volume Fractional Edge Length 3-D Figures and Nets Coordinate Graphing Perimeter: the distance around a polygon. Area: the number of square units needed
Lesson 10T ~ Three-Dimensional Figures
Lesson 10T ~ Three-Dimensional Figures Name Period Date Use the table of names at the right to name each solid. 1. 2. Names of Solids 3. 4. 4 cm 4 cm Cone Cylinder Hexagonal prism Pentagonal pyramid Rectangular
AREA OF POLYGONS
AREA OF POLYGONS 5.3.1 5.3.4 Area is the number of non-overlapping square units needed to cover the interior region of a twodimensional figure or the surface area of a three-dimensional figure. For example,
Page 1 CCM6+7+ UNIT 9 GEOMETRY 2D and 3D 2D & 3D GEOMETRY PERIMETER/CIRCUMFERENCE & AREA SURFACE AREA & VOLUME
Page 1 CCM6+7+ UNIT 9 GEOMETRY 2D and 3D UNIT 9 2016-17 2D & 3D GEOMETRY PERIMETER/CIRCUMFERENCE & AREA SURFACE AREA & VOLUME CCM6+7+ Name: Math Teacher: Projected Test Date: MAIN CONCEPT(S) PAGE(S) Vocabulary
Additional Practice. Name Date Class
Additional Practice Investigation 1 1. The four nets below will fold into rectangular boxes. Net iii folds into an open box. The other nets fold into closed boxes. Answer the following questions for each
Name: Target 12.2: Find and apply surface of Spheres and Composites 12.2a: Surface Area of Spheres 12.2b: Surface Area of Composites Solids
Unit 12: Surface Area and Volume of Solids Target 12.0: Euler s Formula and Introduction to Solids Target 12.1: Find and apply surface area of solids 12.1a: Surface Area of Prisms and Cylinders 12.1b:
Page 1 CCM6+7+ UNIT 9 GEOMETRY 2D and 3D. Angle Relationships, Area, and Perimeter/Circumference Surface Area and Volume
Page 1 CCM6+7+ UNIT 9 GEOMETRY 2D and 3D UNIT 9 2015-16 Angle Relationships, Area, and Perimeter/Circumference Surface Area and Volume CCM6+7+ Name: Math Teacher: Projected Test Date: MAIN CONCEPT(S) PAGE(S)
Geometry Unit 10 Note Sheets Date Name of Lesson. 1.6 Two-Dimensional Figures Areas of Circles and Sectors
Date Name of Lesson 1.6 Two-Dimensional Figures 11.3 Areas of Circles and Sectors Quiz 11.1 Areas of Parallelograms and Triangles 11.2 Areas of Trapezoids, Rhombi and Kites 11.4 Areas of Regular Polygons
SEVENTH EDITION and EXPANDED SEVENTH EDITION
SEVENTH EDITION and EXPANDED SEVENTH EDITION Slide 9-1 Chapter 9 Geometry 9.1 Points, Lines, Planes, and Angles Basic Terms A line segment is part of a line between two points, including the endpoints.
Surface Area and Volume
Surface Area and Volume Day 1 - Surface Area of Prisms Surface Area = The total area of the surface of a three-dimensional object (Or think of it as the amount of paper you ll need to wrap the shape.)
6th Grade. Geometry.
1 6th Grade Geometry 2015 12 01 www.njctl.org 2 Table of Contents Area of Rectangles Area of Parallelograms Area of Right Triangles Area of Acute and Obtuse Triangles Area of Trapezoids Mixed Review Area
9.1. Perimeter & Circumference. For this Challenge Activity, you will need to see your teacher. Measurement & Geometry
Perimeter & Circumference 9.1 Find the perimeter of each polygon. Find the perimeter of each rectangle. Find the circumference of each circle to the nearest tenth. Use 3.14 or 22 7 for. 7. 8. 9. Use 22
Perimeter and Area. Slide 1 / 183. Slide 2 / 183. Slide 3 / 183. Table of Contents. New Jersey Center for Teaching and Learning
New Jersey Center for Teaching and Learning Slide 1 / 183 Progressive Mathematics Initiative This material is made freely available at www.njctl.org and is intended for the non-commercial use of students
UNIT 4: LENGTH, AREA, AND VOLUME WEEK 16: Student Packet
Name Period Date UNIT 4: LENGTH, AREA, AND VOLUME WEEK 16: Student Packet 16.1 Circles: Area Establish the area formula for a circle. Apply the area formula for a circle to realistic problems. Demonstrate
Part I Multiple Choice
Oregon Focus on Surface Area and Volume Practice Test ~ Surface Area Name Period Date Long/Short Term Learning Targets MA.MS.07.ALT.05: I can solve problems and explain formulas involving surface area
Calculate the area of each figure. Each square on the grid represents a square that is one meter long and one meter wide.
CH 3 Test Review 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 You are making
Ready To Go On? Skills Intervention 9-1 Developing Formulas for Triangles and Quadrilaterals
9A Ready To Go On? Skills Intervention 9-1 Developing Formulas for Triangles and Quadrilaterals Finding Measurements of Parallelograms Find each measurement. A. the area of the parallelogram A b Use the
Algebra Area of Parallelograms
Lesson 10.1 Reteach Algebra Area of Parallelograms The formula for the area of a parallelogram is the product of the base and height. The formula for the area of a square is the square of one of its sides.
UNIT 11. Angle Relationships, Area, and Perimeter/Circumference CCM6+ Name: Math Teacher: Projected Test Date: Unit 11 Vocabulary...
Page 1 CCM6+ Unit 11 Angle Relationships, Area, Perimeter/Circumference 15-16 UNIT 11 Angle Relationships, Area, and Perimeter/Circumference 2016 2017 CCM6+ Name: Math Teacher: Projected Test Date: Unit
TEST REVIEW: UNIT 8 Surface Area 2018
Class: Date: TEST REVIEW: UNIT 8 Surface Area 2018 Find the area. The figure is not drawn to scale. 1. 5. Find the area. All lengths are in centimeters. Round answer to the nearest tenth. 2. 6. A can of
Math 1 Plane Geometry Part 1
Math 1 Plane Geometry Part 1 1 Intersecting lines: When two lines intersect, adjacent angles are supplementary (they make a line and add up to 180 degrees, and vertical angles (angles across from each
Unit 5. Area & Volume. Area Composite Area Surface Area Volume. Math 6 Unit 5 Calendar 1/14 1/15 1/16 1/17 1/18. Name: Math Teacher:
Math 6 Unit 5 Calendar 1/14 1/15 1/16 1/17 1/18 Name: Unit 5 Area & Volume Area Composite Area Surface Area Volume Review Or Computer Lab Unit 5 Test Or Computer Lab Unit 5 Test Or Computer Lab Unit 5
Fractions. 7th Grade Math. Review of 6th Grade. Slide 1 / 306 Slide 2 / 306. Slide 4 / 306. Slide 3 / 306. Slide 5 / 306.
Slide 1 / 06 Slide 2 / 06 7th Grade Math Review of 6th Grade 2015-01-14 www.njctl.org Slide / 06 Table of Contents Click on the topic to go to that section Slide 4 / 06 Fractions Decimal Computation Statistics
The scale factor between the blue diamond and the green diamond is, so the ratio of their areas is.
For each pair of similar figures, find the area of the green figure. 1. The scale factor between the blue diamond and the green diamond is, so the ratio of their areas is. The area of the green diamond
5th Grade Mathematics Essential Standards
Standard 1 Number Sense (10-20% of ISTEP/Acuity) Students compute with whole numbers*, decimals, and fractions and understand the relationship among decimals, fractions, and percents. They understand the
Geometry 10 and 11 Notes
Geometry 10 and 11 Notes Area and Volume Name Per Date 10.1 Area is the amount of space inside of a two dimensional object. When working with irregular shapes, we can find its area by breaking it up into
Volume of Cylinders. Volume of Cones. Example Find the volume of the cylinder. Round to the nearest tenth.
Volume of Cylinders As with prisms, the area of the base of a cylinder tells the number of cubic units in one layer. The height tells how many layers there are in the cylinder. The volume V of a cylinder
3. The diagonals of a rectangle are 18 cm long and intersect at a 60 angle. Find the area of the rectangle.
Geometry Chapter 11 Remaining Problems from the Textbook 1. Find the area of a square with diagonals of length d. 2. The lengths of the sides of three squares are s, s + 1, and s + 2. If their total area
Area of Triangles and Trapezoids
Practice A Complete. Write triangle or trapezoid. 1. The area of a is half the product of its base and its height. 2. The area of a is the product of half its height and the sum of its bases. _ Find the
Chapter 11. Area of Polygons and Circles
Chapter 11 Area of Polygons and Circles 11.1 & 11.2 Area of Parallelograms, Triangles, Trapezoids, Rhombi, and Kites Use your formula chart to find the formula for the Areas of the following Polygons
Practice Test - Chapter 11. Find the area and perimeter of each figure. Round to the nearest tenth if necessary.
Find the area and perimeter of each figure. Round to the nearest tenth if necessary. 1. Use the Pythagorean Theorem to find the height h, of the parallelogram. 2. Use the Pythagorean Theorem to find the
Review: What is the definition of a parallelogram? What are the properties of a parallelogram? o o o o o o
Geometry CP Lesson 11-1: Areas of Parallelograms Page 1 of 2 Objectives: Find perimeters and areas of parallelograms Determine whether points on a coordinate plane define a parallelogram CA Geometry Standard:
Length, Area, and Volume - Outcomes
1 Length, Area, and Volume - Outcomes Solve problems about the perimeter and area of triangles, rectangles, squares, parallelograms, trapeziums, discs, sectors, and figures made from combinations of these.
Archdiocese of Washington Catholic Schools Academic Standards Mathematics
5 th GRADE Archdiocese of Washington Catholic Schools Standard 1 - Number Sense Students compute with whole numbers*, decimals, and fractions and understand the relationship among decimals, fractions,
Pre-Algebra Notes Unit 10: Geometric Figures & Their Properties; Volume
Pre-Algebra Notes Unit 0: Geometric Figures & Their Properties; Volume Triangles, Quadrilaterals, and Polygons Syllabus Objectives: (4.6) The student will validate conclusions about geometric figures and
6. If QRSTU is a regular pentagon, what is the measure of T? 1. If STUV is a parallelogram, what are the coordinates of point U?
1. If UV is a parallelogram, what are the coordinates of point U?. If RU is a regular pentagon, what is the measure of? (0, y) U(?,?) (, 0) V( + z, 0) 7. hree siblings are to share an inheritance of $1,0
Geometry: Semester 2 Practice Final Unofficial Worked Out Solutions by Earl Whitney
Geometry: Semester 2 Practice Final Unofficial Worked Out Solutions by Earl Whitney 1. Wrapping a string around a trash can measures the circumference of the trash can. Assuming the trash can is circular,
Chapter 11 Areas of Polygons and Circles
Section 11-1: Areas of Parallelograms and Triangles SOL: G.14 The student will use similar geometric objects in two- or three-dimensions to a) compare ratios between side lengths, perimeters, areas, and
Pre-Algebra, Unit 10: Measurement, Area, and Volume Notes
Pre-Algebra, Unit 0: Measurement, Area, and Volume Notes Triangles, Quadrilaterals, and Polygons Objective: (4.6) The student will classify polygons. Take this opportunity to review vocabulary and previous
Lesson 1 - Area Review Shape Words Formula
Lesson 1 - Area Review Shape Words Formula Rectangle The area A of a rectangle is the product of the length and the width w. A = w Parallelogram The area A of a parallelogram is the product of any base
Extra Practice 1. Name Date. Lesson 1: Exploring Triangles
Master 6.36 Extra Practice 1 Lesson 1: Exploring Triangles 1. Draw 3 different triangles. Measure and label the side lengths. Name each triangle as equilateral, isosceles, or scalene. 2. Name each triangle
Practice A Introduction to Three-Dimensional Figures
Name Date Class Identify the base of each prism or pyramid. Then choose the name of the prism or pyramid from the box. rectangular prism square pyramid triangular prism pentagonal prism square prism triangular
The Geometry of Solids
CONDENSED LESSON 10.1 The Geometry of Solids In this lesson you will Learn about polyhedrons, including prisms and pyramids Learn about solids with curved surfaces, including cylinders, cones, and spheres
Math 6 Unit 9 Notes: Measurement and Geometry, Area/Volume
Math 6 Unit 9 Notes: Measurement and Geometry, rea/volume erimeter Objectives: (5.5) The student will model formulas to find the perimeter, circumference and area of plane figures. (5.6) The student will
6.G.1. SELECTED RESPONSE Select the correct answer. CONSTRUCTED RESPONSE. 3. What is the area of this shape?
6.G.1 SELECTED RESPONSE Select the correct answer. 3. What is the area of this shape? 1. What is the area of the triangle below? 5.65 cm 10.9375 cm 11.5 cm 1.875 cm 48 in 144 in 96 in 88 in 4. What is
Vocabulary. Term Page Definition Clarifying Example. apothem. center of a circle. center of a regular polygon. central angle of a regular polygon
CHAPTER 9 Vocabulary The table contains important vocabulary terms from Chapter 9. As you work through the chapter, fill in the page number, definition, and a clarifying example. apothem Term Page Definition
CIRCLES ON TAKS NAME CLASS PD DUE
CIRCLES ON TAKS NAME CLASS PD DUE 1. On the calculator: Let s say the radius is 2. Find the area. Now let s double the radius to 4 and find the area. How do these two numbers relate? 2. The formula for
Attendance Questions: Find the area of each shape. Round your answer to the nearest tenth. 1. An equilateral triangle with edge length 20 cm.
Page 1 of 17 Attendance Questions: Find the area of each shape. Round your answer to the nearest tenth. 1. An equilateral triangle with edge length 20 cm. Page 1 of 17 Page 2 of 17 2. A regular hexagon
Free Response. Test A. 1. What is the estimated area of the figure?
Test A 1. What is the estimated area of the 6. An 8.5 in. by 11 in. sheet of paper is enlarged to make a poster by doubling its length and width. What is the new perimeter? 7. How does the area of a square
12-3 Area of Composite Figures
Find the area of each figure. Round to the nearest tenth, if necessary. 1. 5. The Jamesons hired a landscaper to brick their walkway. One case of bricks costs $25 and covers 6 square feet. 2. 38.4 cm 2
A. 180 B. 108 C. 360 D. 540
Part I - Multiple Choice - Circle your answer: REVIEW FOR FINAL EXAM - GEOMETRY 2 1. Find the area of the shaded sector. Q O 8 P A. 2 π B. 4 π C. 8 π D. 16 π 2. An octagon has sides. A. five B. six C.
11-1 Study Guide and Intervention
11-1 Study Guide and Intervention reas of Parallelograms reas of Parallelograms parallelogram is a quadrilateral with both pairs of opposite sides parallel. ny side of a parallelogram can be called a base.
Area of Regular Polygons
Area of Regular Polygons Name:_ Find the area of each regular polygon. Leave your answer in simplest (radical) form. If your answer does not have a radical form, then round to the nearest tenth. 8 14.4
9. a. 11. A = 30 cm 2, P = 30 cm. 12. A = 29 cm 2, P = 13. A = 72 in. 2, P = 35 in.
Answers Applications. Area = 20 cm 2 (base = 5 cm, height = cm), perimeter = 20 cm (Each side is 5 cm.) 2. Area = 9 cm 2 (base = 3 cm, height = 3 cm), perimeter 2. cm (The side lengths are 3 cm and ~ 3.2
Name: Second semester Exam Honors geometry Agan and Mohyuddin. May 13, 2014
Name: Second semester Exam Honors geometry Agan and Mohyuddin May 13, 2014 1. A circular pizza has a diameter of 14 inches and is cut into 8 equal slices. To the nearest tenth of a square inch, which answer
Geometry. Unit 9 Equations of Circles, Circle Formulas, and Volume
Geometry Unit 9 Equations of Circles, Circle Formulas, and Volume 0 Warm-up 1. Use the Pythagorean Theorem to find the length of a right triangle s hypotenuse if the two legs are length 8 and 14. Leave
Click on the blue links to navigate through the study guide. You can also view videos at Khan Academy and Virtual Nerd. Common errors to avoid:
Chapter 10 This study sheet provides students and parents with the basic concepts of each chapter. Students still need to apply these skills in context. They need to know when to apply each concept, often
Geometry Summative Review 2008
Geometry Summative Review 2008 Page 1 Name: ID: Class: Teacher: Date: Period: This printed test is for review purposes only. 1. ( 1.67% ) Which equation describes a circle centered at (-2,3) and with radius
Answer Section. Honors Geometry Final Study Guide 2013 Solutions and Section References 1. ANS: 900
Honors Geometry Final Study Guide 2013 Solutions and Section References Answer Section 1. ANS: 900 2. ANS: 6300 3. ANS: B 4. ANS: x = 111, y = 64 5. ANS: 45 6. ANS: 110 7. ANS: REF: 6-2 Properties of Parallelograms
Volume of Prisms and Cylinders
Volume of Prisms and Cylinders Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) To access a customizable version of this book, as well as other interactive content, visit
GEOMETRY REVIEW PACKET
Obstacles are those frightful things you see when you take your eyes off your goal -Henry Ford As of Spring 2016, geometry is no longer a prerequisite for MTH101 and MTH165 Spend time with the material
Unit 9 Study Guide. Multiple Choice (2 points) Identify the choice that best completes the statement or answers the question.
Unit 9 Study Guide Multiple hoice (2 points) Identify the choice that best completes the statement or answers the question. Find the perimeter of each rectangle. 1. 38 m 18 m a. 684 m c. 56 m b. 94 m d.
For full credit, show all work. Label all answers. For all problems involving a formula you must show the formula and each step. LABEL!
Accelerated Review 0: Polygons and Circles Name: For full credit, show all work. Label all answers. For all problems involving a formula you must show the formula and each step. LABEL! Find the area and
Grade 8 Mathematics (Barr) Chapter 11: Geometry and Measurement Relationships Perimeter, Area, Surface Area and Volume Assignment
Page 1 of 9 Knowledge and Understanding 1. This sign is made up of a rectangle and a semicircle. Which of the following is closest to the area of the sign? a. 347 cm 2 b. 653 cm 2 c. 1007 cm 2 d. 1410
Unit 4 End-of-Unit Assessment Study Guide
Circles Unit 4 End-of-Unit Assessment Study Guide Definitions Radius (r) = distance from the center of a circle to the circle s edge Diameter (d) = distance across a circle, from edge to edge, through
Chapter 10 BUILD YOUR VOCABULARY
C H A P T E R 10 BUILD YOUR VOCABULARY This is an alphabetical list of new vocabulary terms you will learn in Chapter 10. As you complete the study notes for the chapter, you will see Build Your Vocabulary
10-1. Enrichment. You Can Count On It!
10-1 You Can Count On It! How many triangles are there in the figure at the right? How many parallelograms? When counting shapes in a figure like this, you usually have to think of different sizes. There
1. AREAS. Geometry 199. A. Rectangle = base altitude = bh. B. Parallelogram = base altitude = bh. C. Rhombus = 1 product of the diagonals = 1 dd
Geometry 199 1. AREAS A. Rectangle = base altitude = bh Area = 40 B. Parallelogram = base altitude = bh Area = 40 Notice that the altitude is different from the side. It is always shorter than the second
Geometry - Additional Questions: Sheet 1
Geometry - Additional Questions: Sheet 1 Parallel Lines Eercises (G3E) e g f h L1 L1 L2 1.) How many angles do you need to know in order to replace the letters in the diagram to the left? b c a d L2 2.)
Assignment Guide: Chapter 10 Geometry (L3)
Assignment Guide: Chapter 10 Geometry (L3) (123) 10.1 Areas of Parallelograms and Triangles Page 619-621 #9-15 odd, 18-21, 24-30, 33, 35, 37, 41-43 (124) 10.2 Areas of Trapezoids, Rhombuses, and Kites
HS Pre-Algebra Notes Unit 10: Measurement, Area, and Volume
HS Pre-Algebra Notes Unit 0: Measurement, Area, and Volume Triangles, Quadrilaterals, and Polygons Syllabus Objectives: (5.6) The student will classify polygons. (5.5) The student will validate conclusions
TeeJay Publishers Homework for Level D book Ch 10-2 Dimensions
Chapter 10 2 Dimensions Exercise 1 1. Name these shapes :- a b c d e f g 2. Identify all the 2 Dimensional mathematical shapes in these figures : (d) (e) (f) (g) (h) 3. Write down the special name for