Fair Game Review. Chapter 4. Name Date. Find the area of the square or rectangle Find the area of the patio.
|
|
- Ursula Green
- 5 years ago
- Views:
Transcription
1 Name Date Chapter Fair Game Review Find the area of the square or rectangle... ft cm 0 ft cm.. in. d in. d. Find the area of the patio. ft 0 ft Copright Big Ideas Learning, LLC Big Ideas Math Green
2 Name Date Chapter Fair Game Review (continued) Plot the ordered pair in a coordinate plane.. (, ). (, ) x x. (, ) 9. (, ) x x 0. (, ). (, ) x x Big Ideas Math Green Copright Big Ideas Learning, LLC
3 Name Date. Areas of Parallelograms For use with Activit. Essential Question How can ou derive a formula for the area of a parallelogram? A polgon is a closed figure in a plane that is made up of three or more line segments that intersect onl at their endpoints. Several examples of polgons are parallelograms, triangles, and trapezoids. The formulas for the areas of polgons can be derived from one area formula, the area of a rectangle. Recall that the area of a rectangle is the product of its length and its width w. The process ou use to derive these other formulas is called deductive reasoning. Area = w w Rectangle Parallelogram Triangle Trapezoid Defined Derive Derive Derive Formula Formula Formula Lesson. Lesson. Lesson. ACTIVITY: Deriving the Area Formula of a Parallelogram Work with a partner. a. Draw an rectangle on a piece of grid paper. An example is shown. Label the length and width. Then find the area of our rectangle. width = w A = right angle length = b. Cut our rectangle into two pieces to form a parallelogram. Compare the area of the rectangle with the area of the parallelogram. What do ou notice? Use our results to write a formula for the area A of a parallelogram. Copright Big Ideas Learning, LLC Big Ideas Math Green
4 Name Date. Areas of Parallelograms (continued) ACTIVITY: Finding the Areas of Parallelograms Work with a partner. A B E C D a. Find the area of each parallelogram b cutting it into two pieces to form a rectangle.* b. Use the formula ou wrote in Activit to find the area of each parallelogram. Compare our answers to those in part (a). c. Count unit squares for each parallelogram to check our results. *Cut-outs are available in the back of the. Big Ideas Math Green Copright Big Ideas Learning, LLC
5 Name Date. Areas of Parallelograms (continued) What Is Your Answer?. IN YOUR OWN WORDS How can ou derive a formula for the area of a parallelogram?. REASONING The areas of a rectangle and a parallelogram are equal. The length of the rectangle is equal to the base of the parallelogram. What can ou sa about the width of the rectangle and the height of the parallelogram? Draw a diagram to support our answer.. What is the height of the parallelogram shown? How do ou know? Copright Big Ideas Learning, LLC Big Ideas Math Green 9
6 Name Date. Practice For use after Lesson. Find the area of the parallelogram... in. cm in. cm Find the area of the shaded region... m ft m ft m ft m 0 ft. A stained glass window has an area of 900 square inches. a. One window design is made of rectangular stained glass pieces that are inches b inches. How man stained glass pieces are used in the window? b. Another window design is made of square stained glass pieces that are inches b inches. How man stained glass pieces are used in the window? 0 Big Ideas Math Green Copright Big Ideas Learning, LLC
7 Name Date. Areas of Triangles For use with Activit. Essential Question How can ou derive a formula for the area of a triangle? ACTIVITY: Deriving the Area Formula of a Triangle Work with a partner. a. Draw an rectangle on a piece of grid paper. Label the length and width. Then find the area of our rectangle. b. Draw a diagonal from one corner of our rectangle to the opposite corner. Cut along the diagonal. Compare the area of the rectangle with the area of the two pieces ou cut. What do ou notice? Use our results to write a formula for the area A of a triangle. Area = Formula ACTIVITY: Deriving the Area Formula of a Triangle Work with a partner. a. Fold a piece of grid paper in half. Draw a triangle so that its base lies on one of the horizontal lines of the paper. Do not use a right triangle. Label the height and the base inside the triangle. b. Estimate the area of our triangle b counting unit squares. Area Estimate b fold h c. Cut out the triangle so that ou end up with two identical triangles. Form a quadrilateral whose area ou know. What tpe of quadrilateral is it? Explain how ou know it is this tpe. d. Use our results to write a formula for the area of a triangle. Then use our formula to find the exact are of our triangle. Compare this area with our estimate in part (b). Area Area = Formula = Exact Area Copright Big Ideas Learning, LLC Big Ideas Math Green
8 Name Date. Areas of Triangles (continued) ACTIVITY: Estimating and Finding the Area of a Triangle Work with a partner. Each grid square represents square centimeter. Use estimation to match each triangle with its area. Then check our work b finding the exact area of each triangle. Estimate Exact Area Match Match a. cm A b. 0 cm B c. 9 cm C D E d. cm e. 0 cm F G H f. cm Not drawn to scale g. cm h. cm Big Ideas Math Green Copright Big Ideas Learning, LLC
9 Name Date. Areas of Triangles (continued) What Is Your Answer?. PARTNER ACTIVITY Use the centimeter grid paper to create our own triangle matching activit. Trade with our partner and solve each other s matching activit.. IN YOUR OWN WORDS How can ou derive a formula for the area of a triangle? Copright Big Ideas Learning, LLC Big Ideas Math Green
10 Name Date. Practice For use after Lesson. Find the area of the triangle... in. ft 0 in. ft.. cm m m 9 cm.. d d mm mm. A triangular bookend has a base of inches and a height of inches. Find the area of the bookend. Big Ideas Math Green Copright Big Ideas Learning, LLC
11 Name Date. Areas of Trapezoids For use with Activit. Essential Question How can ou derive a formula for the area of a trapezoid? ACTIVITY: Deriving the Area Formula of a Trapezoid Work with a partner. Use a piece of centimeter grid paper. a. Draw an trapezoid so that its base lies on one of the horizontal lines of the paper. b. Estimate the area of our trapezoid (in square centimeters) b counting unit squares. b h Area Estimate b c. Label the height and the bases inside the trapezoid. right angle d. Cut out the trapezoid. Mark the midpoint of the side opposite the height. Draw a line from the midpoint to the opposite upper vertex. e. Cut along the line. You will end up with a triangle and a quadrilateral. Arrange these two figures to form a figure whose area ou know. f. Use our result to write a formula for the area of a trapezoid. b b h Area = Formula g. Use our formula to find the area of our trapezoid (in square centimeters). Area = Exact Area h. Compare this area with our estimate in part (b). Copright Big Ideas Learning, LLC Big Ideas Math Green
12 Name Date. Areas of Trapezoids (continued) ACTIVITY: Writing a Math Lesson Work with a partner. Use our results from Activit to write a lesson on finding the area of a trapezoid. Area of a Trapezoid Ke Idea Use the following steps to find the area of a trapezoid.... Describe steps ou can use to find the area of a trapezoid. Examples Write examples for finding the area of a trapezoid. Include a drawing for each. a. b. Exercises Write exercises for finding the area of a trapezoid. Include an answer sheet. Find the area... Big Ideas Math Green Copright Big Ideas Learning, LLC
13 Name Date. Areas of Trapezoids (continued) What Is Your Answer?. IN YOUR OWN WORDS How can ou derive a formula for the area of a trapezoid?. In this chapter, ou used deductive reasoning to derive new area formulas from area formulas ou have alread learned. Describe a real-life career in which deductive reasoning is important. Copright Big Ideas Learning, LLC Big Ideas Math Green
14 Name Date. Practice For use after Lesson. Find the area of the trapezoid.. m. m m ft 9 ft ft Find the area of the trapezoid with height h and bases band b.. h = 0 d. h = 9 cm b b = d = d b b =. cm =. cm. The triangle and the trapezoid have the same area. Base b is twice the length of base b. What are the lengths of the bases of the trapezoid? b cm cm cm b Big Ideas Math Green Copright Big Ideas Learning, LLC
15 Name Date Extension. Practice For use after Extension. Find the area of the shaded figure..... Copright Big Ideas Learning, LLC Big Ideas Math Green 9
16 Name Date Extension. Practice (continued) Find the area of the figure... m cm m cm cm m m. ft. in. ft in. in. ft ft in. in. ft 9. You add a -foot-b--foot section of land to a -foot-b--foot garden. Find the area of the new garden. 90 Big Ideas Math Green Copright Big Ideas Learning, LLC
17 Name Date. Polgons in the Coordinate Plane For use with Activit. Essential Question How can ou find the lengths of line segments in a coordinate plane? ACTIVITY: Finding Distances on a Map Work with a partner. The coordinate grid shows a portion of a cit. Each square on the grid represents one square mile. a. A public librar is located at (, ). Cit Hall is located at (, ). Plot and label these points. b. How far is the public librar from Cit Hall? c. A stadium is located miles from the public librar. Give the coordinates of several possible locations of the stadium. Justif our answers b graphing x d. Connect the three locations of the public librar, Cit Hall, and the stadium using our answers in part (c). What shapes are formed? ACTIVITY: Graphing Polgons Work with a partner. Plot and label each set of points in the coordinate plane. Then connect each set of points to form a polgon. Rectangle: A(, ), B(, 0 ), C(, 0 ), D (, ) Triangle: E(, ), F(, ), G (, ) x Copright Big Ideas Learning, LLC Big Ideas Math Green 9
18 Name Date. Polgons in the Coordinate Plane (continued) ACTIVITY: Finding Distances in a Coordinate Plane Work with a partner. a. Find the length of each horizontal line segment in Activit. b. STRUCTURE What relationship do ou notice between the lengths of the line segments in part (a) and the coordinates of their endpoints? Explain. c. Find the length of each vertical line segment in Activit. d. STRUCTURE What relationship do ou notice between the lengths of the line segments in part (c) and the coordinates of their endpoints? Explain. e. Plot and label the points below in the coordinate plane. Then connect each pair of points with a line segment. Use the relationships ou discovered in parts (b) and (d) above to find the length of each line segment. Show our work. S(, ) and T (, ) U( 9, ) and V ( 9, 0) W( 0, ) and X ( 0, 0) Y(, 9 ) and Z (, 9) x f. Check our answers in part (e) b counting grid lines. 9 Big Ideas Math Green Copright Big Ideas Learning, LLC
19 Name Date. Polgons in the Coordinate Plane (continued) What Is Your Answer?. IN YOUR OWN WORDS How can ou find the lengths of line segments in a coordinate plane? Give examples to support our explanation.. Do the methods ou used in Activit work for diagonal line segments? Explain wh or wh not.. Use the Internet or some other reference to find an example of how finding distances in a coordinate plane is helpful in each of the following careers. a. Archaeologist b. Surveor c. Pilot Copright Big Ideas Learning, LLC Big Ideas Math Green 9
20 Name Date. Practice For use after Lesson. Plot and label each pair of points in the coordinate plane. Find the area of the polgon.. A(, ), B(, ), C(, ). D(, ), E(, ), F(, ), G(, ) x x. H(, ), I(, ), J(, ), K(, ). L(, ), M(, ), N(, ), O(, ) x x. The vertices of a sandbox are P(, ), Q(, ), R(, ), and S(, ). The coordinates are measured in feet. What is the perimeter of the sandbox? 9 Big Ideas Math Green Copright Big Ideas Learning, LLC
Lesson 1 Area of Parallelograms
NAME DATE PERIOD Lesson 1 Area of Parallelograms Words Formula The area A of a parallelogram is the product of any b and its h. Model Step 1: Write the Step 2: Replace letters with information from picture
More informationApplications. 60 Covering and Surrounding
Applications For Exercises 7, find the area and perimeter of each parallelogram. Give a brief explanation of your reasoning for Exercises, 6, and 7... 4. 3. 7. 5. 6. 60 Covering and Surrounding 8. On the
More informationAREA See the Math Notes box in Lesson for more information about area.
AREA..1.. After measuring various angles, students look at measurement in more familiar situations, those of length and area on a flat surface. Students develop methods and formulas for calculating the
More informationArea of Composite Figures. ESSENTIAL QUESTION do you find the area of composite figures? 7.9.C
? LESSON 9.4 Area of Composite Figures ESSENTIAL QUESTION How do you find the area of composite figures? Equations, expressions, and relationships Determine the area of composite figures containing combinations
More informationMeasuring Parallelograms
4 Measuring Parallelograms In this unit, you have developed ways to find the area and perimeter of rectangles and of triangles. In this investigation you will develop ways to find the area and perimeter
More informationArea of Composite Figures. ESSENTIAL QUESTION How do you find the area of composite figures? 7.G.2.6
LESSON 9.3 Area of Composite Figures Solve real-world and mathematical problems involving area, of objects composed of triangles, quadrilaterals, polygons,. ESSENTIAL QUESTION How do you find the area
More informationAll About That Base... and Height
All About That Base... and Height Area of Triangles and Quadrilaterals 2 WARM UP Write 3 different expressions to describe the total area of this rectangle. LEARNING GOALS State and compare the attributes
More informationGrade 7, Unit 1 Practice Problems - Open Up Resources
Grade 7, Unit 1 Practice Problems - Open Up Resources Scale Drawings Lesson 1 Here is a gure that looks like the letter A, along with several other gures. Which gures are scaled copies of the original
More informationGeometry 2001 part 1
Geometry 2001 part 1 1. Point is the center of a circle with a radius of 20 inches. square is drawn with two vertices on the circle and a side containing. What is the area of the square in square inches?
More informationFair Game Review. Chapter 7. Name Date
Name Date Chapter 7 Fair Game Review Use a protractor to find the measure of the angle. Then classify the angle as acute, obtuse, right, or straight. 1. 2. 3. 4. 5. 6. 141 Name Date Chapter 7 Fair Game
More informationObjective: Draw rectangles and rhombuses to clarify their attributes, and define rectangles and rhombuses based on those attributes.
NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 18 5 5 Lesson 18 Objective: Draw rectangles and rhombuses to clarify their attributes, and define Suggested Lesson Structure Fluency Practice Application Problem
More informationName Date. and y = 5.
Name Date Chapter Fair Game Review Evaluate the epression when = and =.... 0 +. 8( ) Evaluate the epression when a = 9 and b =.. ab. a ( b + ) 7. b b 7 8. 7b + ( ab ) 9. You go to the movies with five
More informationCross Sections of Three-Dimensional Figures
Domain 4 Lesson 22 Cross Sections of Three-Dimensional Figures Common Core Standard: 7.G.3 Getting the Idea A three-dimensional figure (also called a solid figure) has length, width, and height. It is
More informationFor Exercises 1 7, find the area and perimeter of each parallelogram. Explain how you found your answers for parallelograms 2, 6, and 7.
A C E Applications Connections Extensions Applications Investigation 3 For Exercises 1 7, find the area and perimeter of each parallelogram. Explain how you found your answers for parallelograms 2, 6,
More informationThe Grade 6 Common Core State Standards for Geometry specify that students should
The focus for students in geometry at this level is reasoning about area, surface area, and volume. Students also learn to work with visual tools for representing shapes, such as graphs in the coordinate
More informationReflect & Share. Here is the same parallelogram. This is a parallelogram. The height is perpendicular to the base. Work with a partner.
6.1 Area of a Parallelogram Focus Use a formula to find the area of a parallelogram. This is a parallelogram. How would you describe it? Here is the same parallelogram. Any side of the parallelogram is
More informationSincerely, Your child s teacher
Content Overview Calculating Perimeter and Area cm Rectangle cm l w Perimeter = l + w Perimeter = + Perimeter = + = cm Area = l w Area = = cm Dear Famil, Your student will be learning about geometr throughout
More informationPerimeters of Composite Figures
8. Perimeters of Composite Figures How can you find the perimeter of a composite figure? ACTIVITY: Finding a Pattern Work with a partner. Describe the pattern of the perimeters. Use your pattern to find
More information1. Convert 60 mi per hour into km per sec. 2. Convert 3000 square inches into square yards.
ACT Practice Name Geo Unit 3 Review Hour Date Topics: Unit Conversions Length and Area Compound shapes Removing Area Area and Perimeter with radicals Isosceles and Equilateral triangles Pythagorean Theorem
More information3.3. You wouldn t think that grasshoppers could be dangerous. But they can damage
Grasshoppers Everywhere! Area and Perimeter of Parallelograms on the Coordinate Plane. LEARNING GOALS In this lesson, you will: Determine the perimeter of parallelograms on a coordinate plane. Determine
More informationMEA 501 LESSON _NOTES Period. CRS SKILL LEVEL DESCRIPTION Level 1 ALL students must MEA 301 Compute the perimeter of polygons when all
MEA 501 LESSON _NOTES Period Name CRS SKILL LEVEL DESCRIPTION Level 1 ALL students must MEA 301 Compute the perimeter of polygons when all attain mastery at this level side lengths are given MEA 302 Compute
More informationLesson 6.1 Skills Practice
Lesson 6.1 Skills Practice Name Date Soon You Will Determine the Right Triangle Connection The Pythagorean Theorem Vocabulary Match each definition to its corresponding term. 1. A mathematical statement
More informationSIXTH GRADE MATHEMATICS CHAPTER 10 AREA AND PERIMETER TOPICS COVERED:
SIXTH GRADE MATHEMATICS CHAPTER 10 AREA AND PERIMETER TOPICS COVERED: Perimeter of Polygons Area of Parallelograms Area of Triangles Area of a Trapezoid Area of Irregular Figures Activity 10-1: Sixth Grade
More informationHonors Geometry Summer Math Packet
Honors Geometry Summer Math Packet Dear students, The problems in this packet will give you a chance to practice geometry-related skills from Grades 6 and 7. Do your best to complete each problem so that
More informationEquations of Parallel and Perpendicular Lines
COMMON CORE AB is rise - - 1 - - 0 - - 8 6 Locker LESSON. Equations of Parallel and Perpendicular Lines Name Class Date. Equations of Parallel and Perpendicular Lines Essential Question: How can ou find
More informationUNIT 10 PERIMETER AND AREA
UNIT 10 PERIMETER AND AREA INTRODUCTION In this Unit, we will define basic geometric shapes and use definitions to categorize geometric figures. Then we will use the ideas of measuring length and area
More information11.2 Areas of Trapezoids,
11. Areas of Trapezoids, Rhombuses, and Kites Goal p Find areas of other types of quadrilaterals. Your Notes VOCABULARY Height of a trapezoid THEOREM 11.4: AREA OF A TRAPEZOID b 1 The area of a trapezoid
More informationMathematics Success Level F
T598 [OBJECTIVE] The student will find the perimeter and area of rectangles and triangles. [MATERIALS] Student pages S204 S212 Transparencies T612, T614, T616, T618, T620, T622 Ruler Scissors Gridded index
More informationGEO: Sem 1 Unit 1 Review of Geometry on the Coordinate Plane Section 1.6: Midpoint and Distance in the Coordinate Plane (1)
GEO: Sem 1 Unit 1 Review of Geometr on the Coordinate Plane Section 1.6: Midpoint and Distance in the Coordinate Plane (1) NAME OJECTIVES: WARM UP Develop and appl the formula for midpoint. Use the Distance
More informationUNIT 6: CONJECTURE AND JUSTIFICATION WEEK 24: Student Packet
Name Period Date UNIT 6: CONJECTURE AND JUSTIFICATION WEEK 24: Student Packet 24.1 The Pythagorean Theorem Explore the Pythagorean theorem numerically, algebraically, and geometrically. Understand a proof
More informationGeometry. Warm Ups. Chapter 11
Geometry Warm Ups Chapter 11 Name Period Teacher 1 1.) Find h. Show all work. (Hint: Remember special right triangles.) a.) b.) c.) 2.) Triangle RST is a right triangle. Find the measure of angle R. Show
More informationMeasuring Parallelograms
4 Measuring Parallelograms In this unit, you have developed ways to find the area and perimeter of rectangles and of triangles. In this investigation you will develop ways to find the area and perimeter
More informationAreas of Composite Figures 8.4. ACTIVITY: Estimating Area. How can you find the area of. a composite figure?
.4 Areas of Composite Figures a composite figure? How can you find the area of 1 ACTIVITY: Estimating Area Work with a partner. a. Choose a state. On grid paper, draw a larger outline of the state. b.
More informationAssignment Assignment for Lesson 3.1
Assignment Assignment for Lesson.1 Name Date 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
More information18 Two-Dimensional Shapes
18 Two-Dimensional Shapes CHAPTER Worksheet 1 Identify the shape. Classifying Polygons 1. I have 3 sides and 3 corners. 2. I have 6 sides and 6 corners. Each figure is made from two shapes. Name the shapes.
More information2.1 Slope and Parallel Lines
Name Class ate.1 Slope and Parallel Lines Essential Question: How can ou use slope to solve problems involving parallel lines? Eplore Proving the Slope Criteria for Parallel Lines Resource Locker The following
More informationName Date # 1 Exit Tickets 5.5
Name Date # 1 1. What is the volume of the figures pictured below? 2. Draw a picture of a figure with a volume of 3 cubic units on the dot paper. Name Date # 2 1. If this net were to be folded into a box,
More informationName Date Period STUDY GUIDE Summative Assessment #5 6 th Grade Math Covering and Surrounding
Name Date Period STUDY GUIDE Summative Assessment #5 6 th Grade Math Covering and Surrounding 1) Mr. and Mrs. Hunter tiled their rectangular porch using 1ft. by 1ft. square tiles. The rectangular porch
More informationPark Forest Math Team. Meet #2. Geometry. Self-study Packet
Park Forest Math Team Meet #2 Self-study Packet Problem Categories for this Meet: 1. Mystery: Problem solving 2. : ngle measures in plane figures including supplements and complements 3. Number Theory:
More informationCatty Corner. Side Lengths in Two and. Three Dimensions
Catty Corner Side Lengths in Two and 4 Three Dimensions WARM UP A 1. Imagine that the rectangular solid is a room. An ant is on the floor situated at point A. Describe the shortest path the ant can crawl
More information16. DOK 1, I will succeed." In this conditional statement, the underlined portion is
Geometry Semester 1 REVIEW 1. DOK 1 The point that divides a line segment into two congruent segments. 2. DOK 1 lines have the same slope. 3. DOK 1 If you have two parallel lines and a transversal, then
More informationMATH MEASUREMENT AND GEOMETRY
Students: 1. Students choose appropriate units of measure and use ratios to convert within and between measurement systems to solve problems. 1. Compare weights, capacities, geometric measures, time, and
More informationArea and Perimeter. Practice 1 Area of a Rectangle. Find the area of each figure. Example. one-inch squares.
Name: Date: Chapter Practice 1 Area of a Rectangle Find the area of each figure. Example There are 3 rows of one-inch squares. Each row has 4 one-inch squares. 3 3 4 5 12 There are 12 one-inch squares
More information6.2 Slopes of Parallel and Perpendicular Lines
. Slopes of Parallel and Perpendicular Lines FOCUS Use slope to find out if two lines are parallel or perpendicular. These two lines are parallel. Slope of line AB Slope of line CD These two lines have
More informationCovering and Surrounding Practice Answers
Investigation Additional Practice. a. units, Area 8 square units b. 8 units, Area 33 square units c. 3 units, Area 33 square units d. units, 7 Area 7 square units 8. a. Students should draw and label a
More informationLesson 18: More Problems on Area and Circumference
Student Outcomes Students examine the meaning of quarter circle and semicircle. Students solve area and perimeter problems for regions made out of rectangles, quarter circles, semicircles, and circles,
More informationSimilar Figures 2.5. ACTIVITY: Reducing Photographs. How can you use proportions to help make decisions in art, design, and magazine layouts?
.5 Similar Figures How can you use proportions to help make decisions in art, design, and magazine layouts? In a computer art program, when you click and drag on a side of a photograph, you distort it.
More informationEssential Mathematics Practice Problems for Exam 5 Chapter 8
Math 254B Essential Mathematics Practice Problems for Eam 5 Chapter 8 Name Date This eam is closed book and closed notes, ecept for the Geometry Formula sheet that is provided by the instructor. You can
More informationStandard Indicator The Logic Behind the Formula
Standard Indicator 5.5.1 The Logic Behind the Formula Purpose Students will understand the formulas for the area of a triangle, parallelogram, and trapezoid by comparing them to the area of a related rectangle
More informationLength and area Block 1 Student Activity Sheet
Block 1 Student Activity Sheet 1. Write the area and perimeter formulas for each shape. 2. What does each of the variables in these formulas represent? 3. How is the area of a square related to the area
More informationGeometry Topic 4 Quadrilaterals and Coordinate Proof
Geometry Topic 4 Quadrilaterals and Coordinate Proof MAFS.912.G-CO.3.11 In the diagram below, parallelogram has diagonals and that intersect at point. Which expression is NOT always true? A. B. C. D. C
More information#2. Rhombus ABCD has an area of 464 square units. If DB = 18 units, find AC. #3. What is the area of the shaded sector if the measure of <ABC is 80?
1 Pre-AP Geometry Chapter 12 Test Review Standards/Goals: F.1.a.: I can find the perimeter and area of common plane figures, such as: triangles, quadrilaterals, regular polygons, and irregular figures,
More informationWhat You ll Learn. Why It s Important
Many artists use geometric concepts in their work. Think about what you have learned in geometry. How do these examples of First Nations art and architecture show geometry ideas? What You ll Learn Identify
More informationACTIVITY: Finding the Slope of a Line
. Slope of a Line describe the line? How can ou use the slope of a line to Slope is the rate of change between an two points on a line. It is the measure of the steepness of the line. To find the slope
More informationLesson 18: More Problems on Area and Circumference
Lesson 18: More Problems on Area and Circumference Classwork Opening Exercise Draw a circle of diameter 12 cm and a square of side length 12 cm on grid paper. Determine the area of the square and the circle.
More information11.2 Areas of Trapezoids and Kites
Investigating g Geometry ACTIVITY Use before Lesson 11.2 11.2 Areas of Trapezoids and Kites MATERIALS grap paper straigtedge scissors tape Q U E S T I O N How can you use a parallelogram to find oter areas?
More information5.3. Area of Polygons and Circles Play Area. My Notes ACTIVITY
Area of Polygons and Circles SUGGESTED LEARNING STRATEGIES: Think/Pair/Share ACTIVITY 5.3 Pictured below is an aerial view of a playground. An aerial view is the view from above something. Decide what
More informationStudent Outcomes. Lesson Notes. Classwork. Example 1 (10 minutes)
Student Outcomes Students understand that a letter represents one number in an expression. When that number replaces the letter, the expression can be evaluated to one number. Lesson Notes Before this
More informationMath 7 Notes - Unit 08B (Chapter 5B) Proportions in Geometry
Math 7 Notes - Unit 8B (Chapter B) Proportions in Geometr Sllabus Objective: (6.23) The student will use the coordinate plane to represent slope, midpoint and distance. Nevada State Standards (NSS) limits
More informationCh 11 Pre-HS Area SOLs 50 Points Name:
1. Each small square on the grid is 1 square unit. How many square units are needed to make the shaded figure shown on the grid? A) 5 B) 7 C) 10 D) 14 2. Each small square on the grid is 1 square unit.
More informationWVDE Math 7 G Draw, Construct, and Describe Geometrical Figures and Describe the Relationsips between Them Test
WVDE Math 7 G Draw, Construct, and Describe Geometrical Figures and Describe the Relationsips between Them Test 1 General Offline Instructions: Read each question carefully and decide which answer is correct.
More informationWhat You ll Learn. Why It s Important. You see geometric figures all around you.
You see geometric figures all around you. Look at these pictures. Identify a figure. What would you need to know to find the area of that figure? What would you need to know to find the perimeter of the
More informationLesson 5: The Area of Polygons Through Composition and Decomposition
Lesson 5: The Area of Polygons Through Composition and Decomposition Student Outcomes Students show the area formula for the region bounded by a polygon by decomposing the region into triangles and other
More informationLesson 3 Pre-Visit Perimeter and Area
Lesson 3 Pre-Visit Perimeter and Area Objective: Students will be able to: Distinguish between area and perimeter. Calculate the perimeter of a polygon whose side lengths are given or can be determined.
More informationRead each question carefully and fill in the bubble with the letter of the correct answer or answers on your answer sheet.
Student Class Date Read each question carefully and fill in the bubble with the letter of the correct answer or answers on your answer sheet. 1.1.1 Gina is traveling to the beach 20 miles away from her
More informationh r c On the ACT, remember that diagrams are usually drawn to scale, so you can always eyeball to determine measurements if you get stuck.
ACT Plane Geometry Review Let s first take a look at the common formulas you need for the ACT. Then we ll review the rules for the tested shapes. There are also some practice problems at the end of this
More informationMeet #2. Math League SCASD. Self-study Packet. Problem Categories for this Meet (in addition to topics of earlier meets): 1. Mystery: Problem solving
Math League SSD Meet #2 Self-study Packet Problem ategories for this Meet (in addition to topics of earlier meets): 1. Mystery: Problem solving 2. : rea and perimeter of polygons 3. Number Theory: Divisibility
More informationML # 1: Similar Figures and Scale Drawings (Unit 7 Math 7 PLUS) SCALE FACTOR: SIMILAR FIGURES:
ML # 1: Similar Figures and Scale Drawings (Unit 7 Math 7 PLUS) SCALE FACTOR: SIMILAR FIGURES: Corresponding Sides and Angles Corresponding Sides and Angles: Sides or angles that lie in the same location
More informationFind the area and perimeter of any enlargement of the original rug above. Your work must include the following:
7-1.Your friend Alonzo owns a rug manufacturing company, which is famous for its unique designs. Each rug design has an original size as well as enlargements that are exactly the same shape. Find the area
More informationProperties of Special Parallelograms
LESSON 5.5 You must know a great deal about a subject to know how little is known about it. LEO ROSTEN Properties of Special Parallelograms The legs of the lifting platform shown at right form rhombuses.
More informationThe Pythagorean Theorem is used in many careers on a regular basis. Construction
Applying the Pythagorean Theorem Lesson 2.5 The Pythagorean Theorem is used in many careers on a regular basis. Construction workers and cabinet makers use the Pythagorean Theorem to determine lengths
More informationKCATM Geometry
Name School KCATM Geometry 9 10 2013 1) Find the minimum perimeter of a rectangle whose area is 169 square meters. a) 42 meters b) 13 meters c) 26 meters d) 52 meters 2) Find the coordinates of the midpoint
More informationJK XY LJ LJ ZX KL KL YZ LJ KL YX KJ. Final Exam Review Modules 10 16, 18 19
Geometry Final Exam Review Modules 10 16, 18 19 Use the following information for 1 3. The figure is symmetric about the x axis. Name: 6. In this figure ~. Which statement is not true? A JK XY LJ ZX C
More informationAREA & PERIMETER LESSON 1 OBJ ECTIVE: OBJECTIVE: INVESTIGATE AND USE THE FORMULAS FOR AREA AND PERIMETER OF RECTANGLES.
AREA & PERIMETER LESSON 1 OBJ ECTIVE: OBJECTIVE: INVESTIGATE AND USE THE FORMULAS FOR AREA AND PERIMETER OF RECTANGLES. Learning Goal By the end of the unit... students will apply the area and perimeter
More informationArea of a Parallelogram
Area of a Parallelogram Objective In this activity, students reason about the area of a parallelogram by visualizing its relationship to a corresponding rectangle. Without a formula, the area of a rectangle
More informationSquares Multiplication Facts: Square Numbers
LESSON 61 page 328 Squares Multiplication Facts: Square Numbers Name Teacher Notes: Introduce Hint #21 Multiplication/ Division Fact Families. Review Multiplication Table on page 5 and Quadrilaterals on
More informationKenmore-Town of Tonawanda UFSD. We educate, prepare, and inspire all students to achieve their highest potential
Kenmore-Town of Tonawanda UFSD We educate, prepare, and inspire all students to achieve their highest potential Grade 2 Module 8 Parent Handbook The materials contained within this packet have been taken
More informationProblem of the Month: Between the Lines
Problem of the Month: Between the Lines Overview: In the Problem of the Month Between the Lines, students use polygons to solve problems involving area. The mathematical topics that underlie this POM are
More informationGeometry. Practice Pack
Geometry Practice Pack WALCH PUBLISHING Table of Contents Unit 1: Lines and Angles Practice 1.1 What Is Geometry?........................ 1 Practice 1.2 What Is Geometry?........................ 2 Practice
More informationE G 2 3. MATH 1012 Section 8.1 Basic Geometric Terms Bland
MATH 1012 Section 8.1 Basic Geometric Terms Bland Point A point is a location in space. It has no length or width. A point is represented by a dot and is named by writing a capital letter next to the dot.
More informationHyperbolas Graphs, Equations, and Key Characteristics of Hyperbolas Forms of Hyperbolas p. 583
C H A P T ER Hyperbolas Flashlights concentrate beams of light by bouncing the rays from a light source off a reflector. The cross-section of a reflector can be described as hyperbola with the light source
More informationSelected Answers for Core Connections, Course 2
Selected Answers for Core Connections, Course 2 Lesson 6.1.1 6-6. x x + 1 3 = 2 b: 2x 2 + 4x x + 2 3 = 2x 2 + 3x 1 6-7. Parts a, c, and d match the perimeter. 6-8. a: 23 20 or 1 3 20 d: 19 15 or 1 4 15
More informationGeometry. a) Rhombus b) Square c) Trapezium d) Rectangle
Geometry A polygon is a many sided closed shape. Four sided polygons are called quadrilaterals. Sum of angles in a quadrilateral equals 360. Parallelogram is a quadrilateral where opposite sides are parallel.
More informationIndicate whether the statement is true or false.
MATH 121 SPRING 2017 - PRACTICE FINAL EXAM Indicate whether the statement is true or false. 1. Given that point P is the midpoint of both and, it follows that. 2. If, then. 3. In a circle (or congruent
More informationName Period No. Geometry Unit Review with Application Problems
Name Period No. Geometry Unit Review with Application Problems For problems 1-3, find the area of each figure. Show all steps. 1) 2) 4) Draw a parallelogram with an area of 50 sq. units in the 3) coordinate
More informationMeet #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:
More informationG.MG.A.3: Area of Polygons
Regents Exam Questions G.MG.A.3: Area of Polygons www.jmap.org Name: G.MG.A.3: Area of Polygons If the base of a triangle is represented by x + 4 and the height is represented by x, which expression represents
More informationJune 2016 Regents GEOMETRY COMMON CORE
1 A student has a rectangular postcard that he folds in half lengthwise. Next, he rotates it continuously about the folded edge. Which three-dimensional object below is generated by this rotation? 4) 2
More informationConstant Perimeter and Changing Area
Objective Common Core State Standards Constant Perimeter and Changing Area The concepts of perimeter and area are often misunderstood (and sometimes confused) by students who tend to lack real-world experience,
More information1 (5) + b (x, y ) = (5, 0), m =
NAME DATE PERID - Stud Guide and Intervention Forms of Equations Slope-Intercept Form of a Linear Equation Point-Slope Form of a Linear Equation = m + b, where m is the slope and b is the -intercept -
More information2016 RSM Olympiad 3-4
1. In the puzzle below, each card hides a digit. What digit is hidden under the card with the question mark? Answer: 9 Solution 1. Note that 999 is the largest 3-digit number. Therefore, if we add to it
More information2 A rectangle 3 cm long and. Find the perimeter and area of each figure. Remember to include the correct units in your answers.
5- Homework Draw each rectangle on the dot paper. Find the perimeter and area. A rectangle 5 cm long and cm wide A rectangle cm long and cm wide Perimeter = Area = Perimeter = Area = Find the perimeter
More informationCovering and Surrounding Assessment. 1. (1 point) Find the area and perimeter of this rectangle. Explain how you found your answers.
Name: Date: Score: /20 Covering and Surrounding Assessment Short Answer: Answer each question, making sure to show your work or provide an explanation or sketch to support your answer in the box. Make
More informationLearning Log Title: CHAPTER 2: ARITHMETIC STRATEGIES AND AREA. Date: Lesson: Chapter 2: Arithmetic Strategies and Area
Chapter 2: Arithmetic Strategies and Area CHAPTER 2: ARITHMETIC STRATEGIES AND AREA Date: Lesson: Learning Log Title: Date: Lesson: Learning Log Title: Chapter 2: Arithmetic Strategies and Area Date: Lesson:
More informationName. Ms. Nong. Due on: Per: Geometry 2 nd semester Math packet # 2 Standards: 8.0 and 16.0
Name FRIDAY, FEBRUARY 24 Due on: Per: TH Geometry 2 nd semester Math packet # 2 Standards: 8.0 and 16.0 8.0 Students know, derive, and solve problems involving the perimeter, circumference, area, volume
More informationPOST TEST KEY. Math in a Cultural Context*
POST TEST KEY Designing Patterns: Exploring Shapes and Area (Rhombus Module) Grade Level 3-5 Math in a Cultural Context* UNIVERSITY OF ALASKA FAIRBANKS Student Name: POST TEST KEY Grade: Teacher: School:
More information3. Suppose you divide a rectangle into 25 smaller rectangles such that each rectangle is similar to the original rectangle.
A C E Applications Connections Extensions Applications 1. Look for rep-tile patterns in the designs below. For each design, Decide whether the small quadrilaterals are similar to the large quadrilateral.
More informationKansas City Area Teachers of Mathematics 2017 KCATM Contest
Kansas City Area Teachers of Mathematics 2017 KCATM Contest GEOMETRY AND MEASUREMENT TEST GRADE 4 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 15 minutes You may use calculators
More informationVocabulary slope, parallel, perpendicular, reciprocal, negative reciprocal, horizontal, vertical, rise, run (earlier grades)
Slope Reporting Category Reasoning, Lines, and Transformations Topic Exploring slope, including slopes of parallel and perpendicular lines Primary SOL G.3 The student will use pictorial representations,
More informationMath 65A Elementary Algebra A Exam II STUDY GUIDE and REVIEW Chapter 2, Sections 3 5, and Chapter 3, Sections 1-3
Exam II STUDY GUIDE and REVIEW Chapter 2, Sections 5, and Chapter, Sections 1 - Exam II will be given on Thursday, April 10. You will have the entire class time for the exam. It will cover Chapter 2, Sections
More information