SPRINGBOARD UNIT 5 GEOMETRY
|
|
- Sybil Quinn
- 5 years ago
- Views:
Transcription
1 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 are to the power of two. To find area, use the correct formula for each shape. Composite Shapes composed of 2 or more simple shapes. To find area of composite shapes, divide the shape into shapes you know and add areas of the shapes to find total area. Find the area and perimeter of the following rectangle. A=4x3 A=12m 2 Perimeter= =14m (Remember that opposite sides of a rectangle are equal.) 5 To find perimeter, find missing sides lengths. Missing side lengths are in RED. 3 A Perimeter = 36 units To find area, divide shapes into simple shapes. The red dotted line shows how it was divided. B Rectangle A A=5x3 A=15 units 2 Rectangle B A=8x7 A=56 units 2 Add the 2 areas together= 15+56=71 units 2 Click for live video tutorial: Definitions of Perimeter and area: Area and perimeter of rectangles: and perimeter
2 5.2 Investigating is the ratio of the circumference to the diameter. For 22 use 3.14 or. 7 Radius the distance from the center to the outside edge of a circle. Diameter the distance across the circle going through the center. Circumference the distance around the circle. Find the circumference. C= d C= 3.14x10 C= 31.4 in Find the circumference. Since you were given the radius, find the diameter first. If the radius is 6mm, then diameter is 12mm. C= d C= 3.14x12 C= mm Click for live video tutorial: topic/v/circles radius diameter andcircumference
3 5.3 Area of Polygons and Circles Find the area of the parallelogram. A=7x3 A=21in 2 Find the area of the triangle. 1 A= bh 2 1 A= x15x A= x180 2 A=90cm 2 Find the area of the trapezoid. A= 2 1 h(b 1 +b 2 ) A= 2 1 x8x( ) A= 2 1 x8x27.4 A=4x27.4 A=109.6 cm 2 Continue
4 5.3 Area of Polygons and Circles Continued. Missing dimensions of shapes are also addressed even though the information is not covered in book. To find missing dimensions, fill in the information you know and solve for what you do not know. Find the base of a parallelogram if its height is 9 feet and its area is 27 square feet. 27=b ft=b Find the missing dimension of a triangle with a height of 12 inches and an area of 24 inches squared. A= 2 1 bh 24= 2 1 b12 24=6b 6 6 4in=b Click for interactive practice: Area of parallelogram: Area of triangle: area triangle without rightangle.html
5 Find the area of the circle. For the formula for area of a circle, you need the radius. Since the diameter is 14 inches, the radius is 7 inches. A= r 2 A= 3.14 x 7 2 A= 3.14 x 49 A= inches 2 Find the area of the semicircle. Find the area of the full circle first. A= r 2 A=3.14 x A=3.14 x A= yd 2 Since this is a semicircle, you must cut the area in half yd 2 2 = yd 2 Find the diameter of a circle with a circumference of meters. C= d 109.9=3.14d m=d Click for live video tutorial: topic/v/area of a circle
6 NOTE: Sections 5.4 through 5.6 are not covered in 6 th grade curriculum. 5.7 Symmetry and Transformations Line of Symmetry a line that cuts a figure in half creating a mirror image. Transformations movement of a figure on a coordinate plane. Types of Transformations: Reflection to flip an object on a coordinate plane Translation to slide and object on a coordinate plane Rotation to turn an object on a coordinate plane Draw all lines of symmetry on the figures below. Graph the following points on a coordinate plane. (3,4) Starting at (0,0), move 3 right and 4 up. (1, 2) Starting at (0,0), move 1 right and 2 down. ( 2,1) Starting at (0,0), move 2 left and 1 up. ( 4, 2) Staring at (0,0), move 4 left and 2 down. Click for live video tutorial: Coordinate plane: algebra 1/v/thecoordinate plane
7 5.7 Symmetry and Transformations Continued.. Graph points D( 3,4), E( 1,3) and F( 2,0). Then connect the points DEF to form a triangle. Translate triangle DEF 4 units to the right and 3 units down. Give the new coordinates of triangle D E F. To translate triangle DEF, move each point 4 units right and 3 units down. Then connect the points to form triangle D E F. The new coordinates for triangle D E F are D (1,1), E (3,0), (2, 3). Graph points G(4, 1), H(2, 2), and J(3, 5) to form triangle GHJ. Draw a reflection of triangle GHJ over the x axis to form triangle G H J and give the coordinates. The draw a reflection of triangle GHJ over the y axis to form G H J and give the coordinates. To reflect triangle GHJ over the x axis, take each point and reflect it the opposite direction from the x axis. Point G is 1 down from the x axis, so reflect it 1 up. Point H is 2 down from the x axis, so reflect it 2 up. Point J is 5 down from the x axis, so reflect it 5 up. Connect the points to form triangle G H J. The new points are located at G (4,1), H (2,2), and J (3,5). To reflect triangle GHJ over the y axis, take each point and reflect it the opposite direction from the y axis. Point G is 4 right from the y axis, so reflect it 4 left. Point H is 2 right from the y axis, so reflect it 2 left. Point J is 3 right from the y axis, so reflect it 3 left. Connect the points to form triangle G H J. The new points are located at G ( 4, 1), H ( 2, 2), and J ( 3, 5). Click for tutorial and interactive practice:
8 5.8 Exploring Volume Volume the amount of space inside a 3 dimensional object. Measurements for volume are to the power of three. Find the volume of a rectangular prism that has a height of 7 centimeters, a base of 6 centimeters, and a width of 5 centimeters. V=bwh V=6x5x7 V=30x7 V=210 cm 3 Find the missing dimension of the rectangular prism. V=bwh 189=9w7 189=63w yd=w Click for tutorial and interactive practice:
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
More informationGeometry. 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
More informationGeometry 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
More informationStudy Guide and Review
State whether each sentence is or false. If false, replace the underlined term to make a sentence. 1. Euclidean geometry deals with a system of points, great circles (lines), and spheres (planes). false,
More information2D Geometry Part 2: Area
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
More informationGeometry Practice. 1. Angles located next to one another sharing a common side are called angles.
Geometry Practice Name 1. Angles located next to one another sharing a common side are called angles. 2. Planes that meet to form right angles are called planes. 3. Lines that cross are called lines. 4.
More information2D 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
More information11.6 Start Thinking Warm Up Cumulative Review Warm Up
11.6 Start Thinking The diagrams show a cube and a pyramid. Each has a square base with an area of 25 square inches and a height of 5 inches. How do the volumes of the two figures compare? Eplain your
More informationKansas 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
More informationPart 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
More informationFree 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
More informationUnit 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
More informationArea 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
More information11.4 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
More informationSomeone 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
More informationCircular 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
More informationName: 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:
More informationName: Class: Date: 2. I have four vertices. I have four right angles and all my sides are the same length.
1. Circle the right triangles. Use the corner of a piece of paper to check. 2. I have four vertices. I have four right angles and all my sides are the same length. What am I? 3. I have four vertices. All
More informationChapter 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
More informationArea 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
More informationLesson 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
More informationVolume 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
More informationNumber/Computation. addend Any number being added. digit Any one of the ten symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9
14 Number/Computation addend Any number being added algorithm A step-by-step method for computing array A picture that shows a number of items arranged in rows and columns to form a rectangle associative
More informationA VERTICAL LOOK AT KEY CONCEPTS AND PROCEDURES GEOMETRY
A VERTICAL LOOK AT KEY CONCEPTS AND PROCEDURES GEOMETRY Revised TEKS (2012): Building to Geometry Coordinate and Transformational Geometry A Vertical Look at Key Concepts and Procedures Derive and use
More informationPerimeter, 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
More informationReview of 7 th Grade Geometry
Review of 7 th Grade Geometry In the 7 th Grade Geometry we have covered: 1. Definition of geometry. Definition of a polygon. Definition of a regular polygon. Definition of a quadrilateral. Types of quadrilaterals
More informationCalculate 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
More informationCCBC 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
More informationacute angle An angle with a measure less than that of a right angle. Houghton Mifflin Co. 2 Grade 5 Unit 6
acute angle An angle with a measure less than that of a right angle. Houghton Mifflin Co. 2 Grade 5 Unit 6 angle An angle is formed by two rays with a common end point. Houghton Mifflin Co. 3 Grade 5 Unit
More informationMeasurement 1 PYTHAGOREAN THEOREM. The area of the square on the hypotenuse of a right triangle is equal to the sum of the areas of
Measurement 1 PYTHAGOREAN THEOREM Remember the Pythagorean Theorem: The area of the square on the hypotenuse of a right triangle is equal to the sum of the areas of the squares on the other two sides.
More informationProperties 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
More informationMath 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
More informationUnit 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
More informationGEOMETRY. 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
More informationSect 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.
More informationPre-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
More informationReview: 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:
More informationUnit 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.
More informationUnderstand the concept of volume M.TE Build solids with unit cubes and state their volumes.
Strand II: Geometry and Measurement Standard 1: Shape and Shape Relationships - Students develop spatial sense, use shape as an analytic and descriptive tool, identify characteristics and define shapes,
More informationWhen discussing 3-D solids, it is natural to talk about that solid s Surface Area, which is the sum of the areas of all its outer surfaces or faces.
Lesson 3 Lesson 3, page 1 of 10 Glencoe Geometry Chapter 11. Nets & Surface Area When discussing 3-D solids, it is natural to talk about that solid s Surface Area, which is the sum of the areas of all
More information10 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
More informationGeometry 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
More informationChapters 1.18 and 2.18 Areas, Perimeters and Volumes
Chapters 1.18 and.18 Areas, Perimeters and Volumes In this chapter, we will learn about: From Text Book 1: 1. Perimeter of a flat shape: 1.A Perimeter of a square 1.B Perimeter of a rectangle 1.C Perimeter
More informationVocabulary. 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
More informationChapters 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
More informationAssignment Guide: Chapter 11 Geometry (L3)
Assignment Guide: Chapter 11 Geometry (L3) (136) 11.1 Space Figures and Cross Sections Page 692-693 #7-23 odd, 35 (137) 11.2/11.4 Surface Areas and Volumes of Prisms Page 703-705 #1, 2, 7-9, 11-13, 25,
More informationEOC Review: Practice: 1. In the circle below, AB = 2BC. What is the probability of hitting the shaded region with a random dart?
EOC Review: Focus Areas: Trigonometric Ratios Area and Volume including Changes in Area/Volume Geometric Probability Proofs and Deductive Reasoning including Conditionals Properties of Polygons and Circles
More informationMoore Catholic High School Math Department
Moore Catholic High School Math Department Geometry Vocabulary The following is a list of terms and properties which are necessary for success in a Geometry class. You will be tested on these terms during
More informationGrade 6 Mathematics Item Specifications Florida Standards Assessments
Content Standard MAFS.6.G Geometry MAFS.6.G.1 Solve real-world and mathematical problems involving area, surface area, and volume. Assessment Limits Calculator s Context A shape is shown. MAFS.6.G.1.1
More informationPage 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
More informationGeometry Vocabulary. acute angle-an angle measuring less than 90 degrees
Geometry Vocabulary acute angle-an angle measuring less than 90 degrees angle-the turn or bend between two intersecting lines, line segments, rays, or planes angle bisector-an angle bisector is a ray that
More informationPage 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)
More informationPractice 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
More informationLesson 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
More informationReview: 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
More informationBrunswick School Department: Grade 5
Understandings Questions Mathematics Lines are the fundamental building blocks of polygons. Different tools are used to measure different things. Standard units provide common language for communicating
More informationPre-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
More informationGeometry 2: 2D and 3D shapes Review
Geometry 2: 2D and 3D shapes Review G-GPE.7 I can use the distance formula to compute perimeter and area of triangles and rectangles. Name Period Date 3. Find the area and perimeter of the triangle with
More informationUnit 7: 3D Figures 10.1 & D formulas & Area of Regular Polygon
Unit 7: 3D Figures 10.1 & 10.2 2D formulas & Area of Regular Polygon NAME Name the polygon with the given number of sides: 3-sided: 4-sided: 5-sided: 6-sided: 7-sided: 8-sided: 9-sided: 10-sided: Find
More informationVolume 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
More informationName: Period: 2018 Geometry Spring Final Exam Review
2018 Geometry Spring Final Exam Review 1. Find the number of lunch combinations that can be created if you order a soup, sandwich, drink and dessert. There are 4 soup choices, 5 sandwich choices, 3 drink
More informationMCAS/DCCAS Mathematics Correlation Chart Grade 6
MCAS/DCCAS Mathematics Correlation Chart Grade 6 MCAS Finish Line Mathematics Grade 6 MCAS Standard DCCAS Standard DCCAS Standard Description Unit 1: Number Sense Lesson 1: Whole Number and Decimal Place
More informationArea Perimeter Gcse Questions
Gcse Questions Free PDF ebook Download: Gcse Questions Download or Read Online ebook area perimeter gcse questions in PDF Format From The Best User Guide Database GCSE Linear foundation sample exam questions
More informationArea and Perimeter Name: Date:
Area and Perimeter Name: Date: RECTANGLE: PARALLELOGRAM: TRIANGLE: TRAPEZOID: PERIMETER: 1. Plot the following points on the graph above: R(-3, 2), T(-3, 7), W(-9, 2), S(-9, 7). Now connect the points.
More informationArea And Perimeter Real Life Applications
And Real Life Applications Free PDF ebook Download: And Real Life Applications Download or Read Online ebook area and perimeter real life applications in PDF Format From The Best User Guide Database AKS:
More informationUnit Maps: Grade 7 Math
Rational Number Representations and Operations 7.4 Number and operations. The student adds, subtracts, multiplies, and divides rationale numbers while solving problems and justifying solutions. Solving
More informationFebruary 07, Dimensional Geometry Notebook.notebook. Glossary & Standards. Prisms and Cylinders. Return to Table of Contents
Prisms and Cylinders Glossary & Standards Return to Table of Contents 1 Polyhedrons 3-Dimensional Solids A 3-D figure whose faces are all polygons Sort the figures into the appropriate side. 2. Sides are
More informationMATH STUDENT BOOK. 7th Grade Unit 9
MATH STUDENT BOOK 7th Grade Unit 9 Unit 9 Measurement and Area Math 709 Measurement and Area Introduction 3 1. Perimeter 5 Perimeter 5 Circumference 11 Composite Figures 16 Self Test 1: Perimeter 24 2.
More information1. 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
More informationMath 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
More informationCC Investigation 4: Measurement
CC Investigation : Measurement A net is a two-dimensional model that can be folded into a threedimensional figure. Prisms are three-dimensional figures that have two congruent and parallel faces that are
More informationChapter 8 Review. 1. Find both the perimeter and the area 2. Find both the perimeter and the area
Name: Block: 8a. Find the perimeter and the area of polygons. 1. Find both the perimeter and the area 2. Find both the perimeter and the area of parallelogram QRST. (Don t forget UNITS!) of rectangle JKLM.
More informationAlignment of Destination Math Courseware with GRADE 4 Benchmarks (B1-B3)
NUMBER SENSE SAM04101- B1 Read write whole numbers in the millions (1.1) 1.1 Read write whole numbers in the millions. I Number Sense Unit: Large Small Whole to One Million Ordering Rounding Whole SAM04102a-B1
More informationAREA 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,
More informationAssignment 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
More informationChapter 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
More informationAnswer 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
More informationNAME DATE PERIOD. Find the perimeter and area of each parallelogram. Round to the nearest tenth if necessary. 4 ft. 22 in. 45.
- Skills Practice Area of Parallelograms Find the perimeter and area of each parallelogram Round to the nearest tenth if necessary 0 cm 0 0 cm 4 ft 55 ft 0 4 yd 4 7 yd 45 in 45 in Lesson - 5 4 m 5 km 9
More informationDIOCESE OF HARRISBURG MATHEMATICS CURRICULUM GRADE 8
MATHEMATICS CURRICULUM GRADE 8 8A Numbers and Operations 1. Demonstrate an numbers, ways of representing numbers, relationships among numbers and number systems. 2. Compute accurately and fluently. a.
More informationThe radius for a regular polygon is the same as the radius of the circumscribed circle.
Perimeter and Area The perimeter and area of geometric shapes are basic properties that we need to know. The more complex a shape is, the more complex the process can be in finding its perimeter and area.
More informationAdditional 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
More informationIdentifying and Classifying Angles and Shapes
Grade 5 Mathematics, Quarter 2, Unit 2.1 Identifying and Classifying Angles and Shapes Overview Number of instructional days: 10 (1 day = 45 minutes) Content to be learned Describe, compare, and classify
More information12 m. 30 m. The Volume of a sphere is 36 cubic units. Find the length of the radius.
NAME DATE PER. REVIEW #18: SPHERES, COMPOSITE FIGURES, & CHANGING DIMENSIONS PART 1: SURFACE AREA & VOLUME OF SPHERES Find the measure(s) indicated. Answers to even numbered problems should be rounded
More informationThe 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
More informationSample: Do Not Reproduce GEO1 STUDENT PAGES. GEOMETRY AND MEASUREMENT Student Pages for Packet 1: Length and Area.
Name Period Date GEOMETRY AND MEASUREMENT Student Pages for Packet 1: GEO1.1 Congruence Plot simple figures on coordinate graphs, and determine their lengths and areas. Make conjectures about perimeters
More informationMATH DICTIONARY. Number Sense. Number Families. Operations. Counting (Natural) Numbers The numbers we say when we count. Example: {0, 1, 2, 3, 4 }
Number Sense Number Families MATH DICTIONARY Counting (Natural) Numbers The numbers we say when we count Example: {1, 2, 3, 4 } Whole Numbers The counting numbers plus zero Example: {0, 1, 2, 3, 4 } Positive
More informationFor 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
More information6th Grade Math. Parent Handbook
6th Grade Math Benchmark 3 Parent Handbook This handbook will help your child review material learned this quarter, and will help them prepare for their third Benchmark Test. Please allow your child to
More informationPractice 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
More information"Unpacking the Standards" 4th Grade Student Friendly "I Can" Statements I Can Statements I can explain why, when and how I got my answer.
0406.1.1 4th Grade I can explain why, when and how I got my answer. 0406.1.2 I can identify the range of an appropriate estimate. I can identify the range of over-estimates. I can identify the range of
More informationPerimeter 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
More informationVolume 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
More informationA. 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.
More informationCourse Outlines. Elementary Mathematics (Grades K-5) Kids and Numbers (Recommended for K-1 students)
Course Outlines Elementary Mathematics (Grades K-5) Kids and Numbers (Recommended for K-1 students) Shapes and Patterns. Grouping objects by similar properties. Identifying simple figures within a complex
More informationHS 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
More informationWhatcom County Math Championship 2014 Geometry 4 th Grade
Whatcom ounty Math hampionship 2014 Geometry 4 th Grade 1. How many squares of all size are there in this picture? 5. How many total lines of reflectional symmetry are there in the figures below? 2. What
More informationChapter 10 Practice Test
Chapter 10 Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the area. The figure is not drawn to scale. 7.6 cm 3.7 cm a. b. c. d. 2.
More informationHouston County School System Mathematics
Student Name: Teacher Name: Grade: 6th Unit #: 5 Unit Title: Area and Volume Approximate Start Date of Unit: Approximate End Date (and Test Date) of Unit: The following Statements and examples show the
More information11-1 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.
More informationAreas of Rectangles and Parallelograms
CONDENSED LESSON 8.1 Areas of Rectangles and Parallelograms In this lesson, you Review the formula for the area of a rectangle Use the area formula for rectangles to find areas of other shapes Discover
More information