Measuring Angles and Circle Graphs
|
|
- Ira Chase
- 6 years ago
- Views:
Transcription
1 Name: Period: Date: 11 th Grade Mathematics PSSA Preparation Program o Mastered On: Measuring Angles and Circle Graphs Anchors Addressed M11.B Measure and/or compare angles in degrees (up to 360 ) (Protractors must be provided or drawn.) M11.E Estimate or calculate to make predictions based on a circle, line, bar graph, or given situation. Concepts Protractors are used to accurately measure and draw angles. Angles appear in everything from buildings to circle graphs. Angles are labeled by the points located on the rays and vertex of the angle. Recall the vertex is the point where the two rays meet and the rays form the sides of the angles. Acute angles have measures that are less than 90 degrees and obtuse angles have measures that are greater than 90 degrees. Measuring Angles with a Protractor To measure an angle with a protractor, follow these steps. STEP 1: Align the bottom line of the angle with the 0 degree line of the protractor. STEP 2: Align the vertex of the angle with the mark at the center of the protractor. STEP 3: Read the angle on the protractor where the second ray of the angle crosses the protractor s outer edge. If the angle is acute, like the one shown, the angle is the smaller number. If the angle is obtuse, the angle is the larger number. Example 1: Measure the angle shown below. Solution: Using the steps outlined above, the measure of the angle is 41.? Test Taking Tip: You can always determine whether an angle is acute or obtuse when taking a test without using a protractor. The corner of a sheet of paper forms a 90 angle. Place a the corner of the paper at the vertex and align one ray of the angle with one edge of the paper. If you can see the other ray, the angle is obtuse, otherwise the angle is acute.
2 Drawing an Angle To draw an angle given a specified measure, first draw a ray. Then, place the protractor over the vertex (endpoint of the ray). Place a small dot next to the mark on protractor that represents the desired angle and then connect the vertex to the dot to create the second ray. Verify your answer is correct by re- measuring the angle you created. Pie (Circle) Charts Pie charts are circles that are divided into wedges that represent data. Pie charts can be misleading if the percentages they represent do not equal 100%. Therefore, pie charts can only be used to display certain data. To determine the relationship between the angle and the percent it represents, the following proportion is used: percent 100 = angle 360 Example 1: According to the circle graph, what percent of students chose math as their favorite subject? Solution: Measuring the angle that represents Math. This angle is 61. Therefore, the proportion to find the percent is: Other Math x 100 = English Solving the proportion yields x = 16.9% Science Example 2: If 250 students were surveyed, how many students chose history as their favorite class? History Solution: Like the previous example, measure the angle using a protractor, then substitute the angle into the proportion: x 100 = Solving the proportion for x, x = 21.9%. Use a second proportion to determine the number of students who chose history given the percentage = x 250 Solving this proportion yields the number of students who chose history: 55 students.
3 Exercises A. Use the protractor and angles below to answer questions 1-5. Use the protractor above to measure the following angles. 1. m AOB = A. 65 B. 75 C. 115 D m EOC = A. 110 B. 180 C. 70 D m BOC = A. 65 B. 75 C. 115 D m COD = B. 20 B. 70 C. 50 D m BOD = B. 65 B. 95 C. 160 D. 125
4 B. Measure the following angles using a protractor. 6. m A = 10. m E = 7. m B = 11. m F = 8. m C = 12. m G = 9. m D = 13. m H =
5 C. Use a protractor to draw and label the following angles in the box below. Do not let the angles overlap each other. Use an additional sheet of paper is you need more room. A = 55 B = 42 C = 124 D = 20 E = 90 F = 135 G = 58 H = 173 I = 85 J = 112 K = 4 L = 176 M = 228 N = 270 O =
6 D. Use the circle charts provided to answer the questions that follow. The circle chart below shows the type of fruit that people prefer for lunch. Pear Orange Plum Peach Apple 15. Determine the angle and percent for each of the types of fruit. Fruit Angle Percent Apple Orange Peach Pear Plum 16. If 300 people were surveyed, how many people preferred peaches?
7 17. If 450 people were surveyed, how many more people preferred apples over pears? 18. Why do some of the number of people have a decimal as part of the answer? Does this mean that there is a mistake? Explain why. 19. If the survey represents ! people, how many people prefer oranges? 20. You run a bodega that has a small refrigerated section that includes sandwiches and other lunch items. There is a small amount of space left for fruit so you can only choose two types. According to the data, which types should you choose? Why?
8 E. Create a circle chart to represent your classmates responses to the following question. Record your classmates answers in the boxes below. Ask between 12 and 30 people. Which do you prefer: M&M s, Skittles, or Hershey Kisses? M&Ms Skittles Hershey Kisses 21. Calculate the percent and angle that represents each of the categories. Show your work. 22. Create and label a circle graph that represents your data using the circle below.
7th Grade Drawing Geometric Figures
Slide 1 / 53 Slide 2 / 53 7th Grade Drawing Geometric Figures 2015-11-23 www.njctl.org Slide 3 / 53 Topics Table of Contents Determining if a Triangle is Possible Click on a topic to go to that section
More informationBy now you should be able to explain the meaning of the following:
Unit 4.7: Circles and Area Lesson: Drawing Circle Graphs Objectives: Students will review the vocabulary of circles. Students will learn to draw angles and measure angles. Students will learn to draw a
More informationCBL Lab WHY ARE THERE MORE REDS IN MY BAG? MATHEMATICS CURRICULUM GRADE SIX. Florida Sunshine State Mathematics Standards
MATHEMATICS CURRICULUM GRADE SIX CBL Lab Florida Sunshine State Mathematics Standards WHY ARE THERE MORE REDS IN MY BAG? John Klimek, Math Coordinator Curt Witthoff, Math/Science Specialist Dr. Benjamin
More informationPennsylvania System of School Assessment
Mathematics, Grade 04 Pennsylvania System of School Assessment The Assessment Anchors, as defined by the Eligible Content, are organized into cohesive blueprints, each structured with a common labeling
More informationCircle Graphs Long-Term Memory Review Review 1
Review 1 1. When is a circle graph the most appropriate representation? 2. An angle whose vertex is at the center of the circle is a angle. 3. The total measure of all central angles of a circle graph
More information3. Data and sampling. Plan for today
3. Data and sampling Business Statistics Plan for today Reminders and introduction Data: qualitative and quantitative Quantitative data: discrete and continuous Qualitative data discussion Samples and
More informationDuring What could you do to the angles to reliably compare their measures?
Measuring Angles LAUNCH (9 MIN) Before What does the measure of an angle tell you? Can you compare the angles just by looking at them? During What could you do to the angles to reliably compare their measures?
More informationClass 6 Logical Reasoning
ID : in-6-logical-reasoning [1] Class 6 Logical Reasoning For more such worksheets visit www.edugain.com Answer the questions (1) What is the 18 th term of the series 1 2 2 3 3 3 4 4 4 4 5 5 5 5 5... (2)
More informationMathematics Success Level D
T782 [OBJECTIVE] The student will explore concepts of angles and be able to use a protractor to measure angle degrees. [PREREQUISITE SKILLS] multiplying multi-digit whole numbers [MATERIALS] Student pages
More informationLearning Experience: Angle Circles. When planning, include the following: Models (Concrete Semi-Concrete Semi-Abstract Abstract) Problems/Situations
Learning Experience: Angle Circles When planning, include the following: Models (Concrete Semi-Concrete Semi-Abstract Abstract) Problems/Situations Questions AKS: 40.MD.5 recognize angles as geometric
More informationName. Introduction to Tables and Graphs
Name Introduction to Tables and Graphs Graphing Resource - Student Guide (Source NASA Solar System Math Comparing Size and Distance) There are three types of graphs that scientists use. Graphs help them
More informationESSENTIAL MATHEMATICS 1 WEEK 17 NOTES AND EXERCISES. Types of Graphs. Bar Graphs
ESSENTIAL MATHEMATICS 1 WEEK 17 NOTES AND EXERCISES Types of Graphs Bar Graphs Bar graphs are used to present and compare data. There are two main types of bar graphs: horizontal and vertical. They are
More informationBiggar High School Mathematics Department. S1 Block 1. Revision Booklet GOLD
Biggar High School Mathematics Department S1 Block 1 Revision Booklet GOLD Contents MNU 3-01a MNU 3-03a MNU 3-03b Page Whole Number Calculations & Decimals 3 MTH 3-05b MTH 3-06a MTH 4-06a Multiples, Factors,
More information9/4/2013. Math. Curriculum Council September 5, topics nouns What? rigor verbs How?
Math Curriculum Council September 5, 2013 Cognitive Change rigor verbs How? Content Change topics nouns What? 1 CHANGES TO STUDENT EXPECTATIONS NEW Standard Change of Grade Level Change of Strand Other
More information4 th Grade Mathematics Learning Targets By Unit
INSTRUCTIONAL UNIT UNIT 1: WORKING WITH WHOLE NUMBERS UNIT 2: ESTIMATION AND NUMBER THEORY PSSA ELIGIBLE CONTENT M04.A-T.1.1.1 Demonstrate an understanding that in a multi-digit whole number (through 1,000,000),
More informationGraphing Guidelines. Controlled variables refers to all the things that remain the same during the entire experiment.
Graphing Graphing Guidelines Graphs must be neatly drawn using a straight edge and pencil. Use the x-axis for the manipulated variable and the y-axis for the responding variable. Manipulated Variable AKA
More informationEnglish 1 st Grade M-Z Vocabulary Cards and Word Walls Revised: 1/13/14
English 1 st Grade M-Z Vocabulary Cards and Word Walls Revised: 1/13/14 Important Notes for Teachers: The vocabulary cards in this file match the Common Core, the math curriculum adopted by the Utah State
More informationMeasuring and Constructing Angles Going Deeper
Name Class 1-3 Date Measuring and Constructing ngles Going Deeper Essential question: What tools and methods can you use to copy an angle and bisect an angle? n angle is a figure formed by two rays with
More informationLesson 12: Unique Triangles Two Sides and a Non- Included Angle
Lesson 12: Unique Triangles Two Sides and a Non- Included Angle Student Outcomes Students understand that two sides of a triangle and an acute angle, not included between the two sides, may not determine
More informationThe Magic Circle Basic Lesson. Developed by The Alexandria Seaport Foundation
The Magic Circle Basic Lesson Developed by The Alexandria Seaport Foundation The Tools Needed Compass Straightedge Pencil Paper (not graph paper, 8.5 x 11 is fine) Your Brain (the most important tool!)
More informationISBN Copyright 2015 The Continental Press, Inc.
Table of COntents Introduction 3 Format of Books 4 Suggestions for Use 7 Annotated Answer Key and Extension Activities 9 Reproducible Tool Set 187 ISBN 978--8454-8719-8 Copyright 215 The Continental Press,
More informationGrade 4 Math Unit 6: GEOMETRY. Standards Report. Student Name:
Grade 4 Math Unit 6: GEOMETRY Standards Report Student Name: Standards MGSE4.G.1: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify
More informationLesson Planner. Lesson 7. Measuring and Drawing Angles. Build Vocabulary. Skills Maintenance. Multiplying Fractions and Simplifying Answers
Multiplying Fractions and Simplifying Answers Problem Solving: Measuring and Drawing Angles Build Vocabulary commute Lesson Planner Skills Maintenance Multiplication With Fractions Building Number Concepts:
More information4) Each box contains 37 tennis balls. How many tennis balls in 9 boxes? factors of 12: 1, 2, 3, 4,,12 Which factor of 12 is missing?
Ordering large numbers Circle the largest number 4,889,667 4,967,774 4,399,899 Circle the smallest number 2,076,778 2,199,564 2,111,000 Multiplying large numbers 1) 30 x 7 = 2) 65 x 8 = 3) 74 x 5 = 4)
More informationGrades 3-5. Robert Smith. Author
Editors Polly Hoffman Gisela Lee Editorial Manager Karen J. Goldfluss, M.S. Ed. Editor-in-Chief Sharon Coan, M.S. Ed. Cover Artist Jessica Orlando Grades 3-5 Art Coordinator Kevin Barnes Creative Director
More informationSummer Math Project 2010 Incoming grade Name
Summer Math Project 2010 Incoming grade 7 2010-2011 Name This project is to be completed at home during the summer months and turned in to your seventh grade math teacher on September 10, 2010. Extra credit
More informationCore Learning Standards for Mathematics Grade 6
Core Learning Standards for Mathematics Grade 6 Write and evaluate numerical expressions involving whole-number exponents. Write, read, and evaluate expressions; identify parts of an expression using mathematical
More informationCambridge International Examinations Cambridge Primary Checkpoint
Cambridge International Examinations Cambridge Primary Checkpoint MATHEMATICS 0845/02 Paper 2 October 2016 45 minutes Candidates answer on the Question Paper. Additional Materials: Pen Protractor Pencil
More informationAn Angle on Geometry
Ebook Code: REUK0010 For Ages 10+ An Angle on Geometry An introduction to geometry, angles, triangles, circles and other 2D shapes. Written by Jane Bourke. Illustrated by Melinda Parker. - 2010 Published
More informationGeometry by Jurgensen, Brown and Jurgensen Postulates and Theorems from Chapter 1
Postulates and Theorems from Chapter 1 Postulate 1: The Ruler Postulate 1. The points on a line can be paired with the real numbers in such a way that any two points can have coordinates 0 and 1. 2. Once
More informationYou must have: Ruler graduated in centimetres and millimetres, protractor, compasses, mirror, pen, HB pencil, eraser. Tracing paper may be used.
Write your name here Surname Other names Pearson Edexcel International Primary Curriculum Centre Number Mathematics Year 6 Achievement Test Candidate Number Friday 3 June 2016 Morning Time: 1 hour Paper
More informationAnswer Key. Easy Peasy All-In-One-Homeschool
Answer Key Easy Peasy All-In-One-Homeschool 3 Odd Numbers A. Odd numbers cannot be paired or divided into equal groups. Count the dots on each dice and circle the pairs. Is the count Odd or Even? + My
More informationNorthern York County School District Curriculum
Northern York County School District Curriculum Course Name Grade Level Mathematics Fourth grade Unit 1 Number and Operations Base Ten Time Frame 4-5 Weeks PA Common Core Standard (Descriptor) (Grades
More informationMeasurement and Data Core Guide Grade 4
Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit (Standards 4.MD.1 2) Standard 4.MD.1 Know relative sizes of measurement units within each system
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 informationAngles and. Learning Goals U N I T
U N I T Angles and Learning Goals name, describe, and classify angles estimate and determine angle measures draw and label angles provide examples of angles in the environment investigate the sum of angles
More informationStandard 4.G.1 4.G.2 5.G.3 5.G.4 4.MD.5
Draw and identify lines and angles, as well as classify shapes by properties of their lines and angles (Standards 4.G.1 3). Standard 4.G.1 Draw points, lines, line segments, rays, angles (right, acute,
More informationAn angle is formed when two lines, line segments or rays meet. The point where they meet is called the vertex. angle. ray.
Angles An angle is formed when two lines, line segments or rays meet. The point where they meet is called the vertex. ray angle ray vertex Example There are many angles in a building. Can you find ten
More information11+ Mathematics Examination. Specimen Paper
11+ Mathematics Examination Specimen Paper The use of a calculator is not allowed Geometrical instruments, such as protractors, are not required. Remember that marks may be given for correct working. 1.
More informationParallel and Perpendicular Lines
Practice A Parallel and Perpendicular Lines 1. Measure the formed by the transversal and the parallel lines. Which seem to be congruent? In the figure, line r line s. Find the measure of each angle. 2.
More informationMathematics Test Book 2
Mathematics Test Book 2 Grade 5 March 3 7, 2008 Name 20296 Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies, Inc., 20 Ryan Ranch Road, Monterey, California 93940-5703.
More information10 Wyner Statistics Fall 2013
1 Wyner Statistics Fall 213 CHAPTER TWO: GRAPHS Summary Terms Objectives For research to be valuable, it must be shared. The fundamental aspect of a good graph is that it makes the results clear at a glance.
More informationВозрастная группа: 4 t h Grade, 5 t h Grade Virginia - Mathematics Standards of Learning (2009): 5.11, 5.12a,
1 План урока Measuring Angles Acute, Right, Obtuse Возрастная группа: 4 t h Grade, 5 t h Grade Virginia - Mathematics Standards of Learning (2009): 5.11, 5.12a, 5.12b Virginia - Mathematics Standards of
More informationMath 21 Home. Book 8: Angles. Teacher Version Assessments and Answers Included
Math 21 Home Book 8: Angles Teacher Version Assessments and Answers Included Year Overview: Earning and Spending Money Home Travel & Transportation Recreation and Wellness 1. Budget 2. Personal Banking
More informationTypes of Graphs & Rules for Graphing
Types of Graphs & Rules for Graphing Three Main Types of Graphs Circle Bar Line All Graphs Need... Title Units Labels or a Key Circle (Pie) Graphs Use When... You are working with Percents. Your data must
More informationacute right obtuse straight complementary angles supplementary angels rotational angle degree
CHOREO GRAPH ACTIVITY # 1: WHAT S MY ANGLE? Students explore and classify different types of angles by acting them out with their bodies, searching for them in the world, and then creating an animated
More information4th Grade Common Core Math Vocabulary
+ = + = + = + = + 4th Grade Common Core Math Vocabulary Created by Alexis Sergi Alexis Sergi http://www.teachersnotebook.com/shop/mathmojo = + = + + = + = + 1 Table of Contents!!!!!!!!!!!! Page Number
More informationIndividual 5 th Grade
5 th Grade Instructions: Problems 1 10 are multiple choice and count towards your team score. Bubble in the letter on your answer sheet. Be sure to erase all mistakes completely. 1. Which of the following
More informationObjective: Use varied protractors to distinguish angle measure from length
NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 6 4 Lesson 6 Objective: Use varied protractors to distinguish angle measure from length Suggested Lesson Structure Fluency Practice Application Problem Concept
More informationPENNSYLVANIA. List properties, classify, draw, and identify geometric figures in two dimensions.
Know: Understand: Do: CC.2.3.4.A.1 -- Draw lines and angles and identify these in two-dimensional figures. CC.2.3.4.A.2 -- Classify twodimensional figures by properties of their lines and angles. CC.2.3.4.A.3
More informationMeasuring and Drawing Angles and Triangles
NME DTE Measuring and Drawing ngles and Triangles Measuring an angle 30 arm origin base line 0 180 0 If the arms are too short to reach the protractor scale, lengthen them. Step 1: lace the origin of the
More informationLesson 12: Unique Triangles Two Sides and a Non-Included Angle
Lesson 12: Unique Triangles Two Sides and a Non-Included Angle Classwork Exploratory Challenge 1. Use your tools to draw, provided cm, cm, and. Continue with the rest of the problem as you work on your
More informationLIST OF HANDS-ON ACTIVITIES IN MATHEMATICS FOR CLASSES III TO VIII. Mathematics Laboratory
LIST OF HANDS-ON ACTIVITIES IN MATHEMATICS FOR CLASSES III TO VIII Mathematics Laboratory The concept of Mathematics Laboratory has been introduced by the Board in its affiliated schools with the objective
More informationRelative Coordinates
AutoCAD Essentials Most drawings are created using relative coordinates. This means that the next point is set from the last point drawn. The last point drawn is stored as temporary 0,0". AutoCAD uses
More informationAngle Measure and Plane Figures
Grade 4 Module 4 Angle Measure and Plane Figures OVERVIEW This module introduces points, lines, line segments, rays, and angles, as well as the relationships between them. Students construct, recognize,
More informationGRADE LEVEL: FOURTH GRADE SUBJECT: MATH DATE: Read (in standard form) whole numbers. whole numbers Equivalent Whole Numbers
CRAWFORDSVILLE COMMUNITY SCHOOL CORPORATION 1 GRADE LEVEL: FOURTH GRADE SUBJECT: MATH DATE: 2019 2020 GRADING PERIOD: QUARTER 1 MASTER COPY 1 20 19 NUMBER SENSE Whole Numbers 4.NS.1: Read and write whole
More informationAnswer Key. Easy Peasy All-In-One-Homeschool
Answer Key Easy Peasy All-In-One-Homeschool 3 Odd Numbers A. Odd numbers cannot be paired or divided into equal groups. Count the dots on each dice and circle the pairs. Is the count Odd or Even? + My
More informationAxiom A-1: To every angle there corresponds a unique, real number, 0 < < 180.
Axiom A-1: To every angle there corresponds a unique, real number, 0 < < 180. We denote the measure of ABC by m ABC. (Temporary Definition): A point D lies in the interior of ABC iff there exists a segment
More information2011 Summer Math Packet Students entering Fifth Grade Math
Name 0 Summer Math Packet Students entering Fifth Grade Math Rachel Carson Elementary PACKET MUST INCLUDE COVER SHEET WITH THE FOLLOWING INFORMATION CLEARLY PRINTED Students Name (first & last) 0-0 Homeroom
More informationNaming Angles. Quick Review. Try These UNIT 4. An angle is formed when 2 lines meet.
UNIT 4 1 STUDENT BOOK Naming Angles LESSO N Quick Review At At Home Sc h o o l An angle is formed when 2 lines meet. right angle straight angle An acute angle An obtuse angle is A reflex angle is is less
More information2017 Object Exchange List Grade 7
07 Object Exchange List Grade 7 All accommodations/adjustments used during the administration of the Florida Standards Alternate Assessment (FSAA) must align with what the student uses during daily instruction.
More informationEuclid s Muse MATERIALS VOCABULARY. area perimeter triangle quadrilateral rectangle line point plane. TIME: 40 minutes
Euclid s Muse In this activity, participants match geometry terms to definitions and definitions to words. MATERIALS Transparency: Euclid s Muse Directions Transparency/Page: Euclid s Muse Transparency/Page:
More informationSt. Michael s Episcopal School. Summer Math. for rising 6 th grade students
Page 1 St. Michael s Episcopal School Summer Math for rising 6 th grade students 2017 Students entering Sixth Grade should have mastered all basic facts, understand and identify place values to hundred
More informationLAB 9.2 The Pythagorean Theorem
LAB 9.2 The Pythagorean Theorem Equipment: Geoboards, dot paper 1. The figure above shows a right triangle with a square on each side. Find the areas of the squares. 2. Make your own right triangles on
More informationMATHEMATICS TEST. Paper 2 calculator allowed LEVEL 6 TESTS ANSWER BOOKLET. First name. Middle name. Last name. Date of birth Day Month Year
LEVEL 6 TESTS ANSWER BOOKLET Ma MATHEMATICS TEST LEVEL 6 TESTS Paper 2 calculator allowed First name Middle name Last name Date of birth Day Month Year Please circle one Boy Girl Year group School YOU
More informationCommon Core Math Tutorial and Practice
Common Core Math Tutorial and Practice TABLE OF CONTENTS Chapter One Number and Numerical Operations Number Sense...4 Ratios, Proportions, and Percents...12 Comparing and Ordering...19 Equivalent Numbers,
More information1. Use the following directions to draw a figure in the box to the right. a. Draw two points: and. b. Use a straightedge to draw.
NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 1 Homework 4 Name Date 1. Use the following directions to draw a figure in the box to the right. a. Draw two points: and. b. Use a straightedge to draw. c.
More information11 Wyner Statistics Fall 2018
11 Wyner Statistics Fall 218 CHAPTER TWO: GRAPHS Review September 19 Test September 28 For research to be valuable, it must be shared, and a graph can be an effective way to do so. The fundamental aspect
More informationGRADE 4. M : Solve division problems without remainders. M : Recall basic addition, subtraction, and multiplication facts.
GRADE 4 Students will: Operations and Algebraic Thinking Use the four operations with whole numbers to solve problems. 1. Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 7 as
More informationChapter 3. Graphical Methods for Describing Data. Copyright 2005 Brooks/Cole, a division of Thomson Learning, Inc.
Chapter 3 Graphical Methods for Describing Data 1 Frequency Distribution Example The data in the column labeled vision for the student data set introduced in the slides for chapter 1 is the answer to the
More information1. Can you tell from this frequency table how many students had 20 correct answers
INVESTIGATION 1 Frequency Tables Histograms Surveys (page 54) A frequency table is a way of pairing selected data, in this case specified test scores, with the number of times the selected data occur.
More informationLine Graphs. Name: The independent variable is plotted on the x-axis. This axis will be labeled Time (days), and
Name: Graphing Review Graphs and charts are great because they communicate information visually. For this reason graphs are often used in newspapers, magazines, and businesses around the world. Sometimes,
More informationUNIT 1 SIMILARITY, CONGRUENCE, AND PROOFS Lesson 2: Constructing Lines, Segments, and Angles Instruction
Prerequisite Skills This lesson requires the use of the following skills: using a compass understanding the geometry terms line, segment, ray, and angle Introduction Two basic instruments used in geometry
More informationNew Jersey Center for Teaching and Learning. Progressive Mathematics Initiative
Slide 1 / 126 New Jersey Center for Teaching and Learning Progressive Mathematics Initiative This material is made freely available at www.njctl.org and is intended for the non-commercial use of students
More informationProblem Solving with the Coordinate Plane
Grade 5 Module 6 Problem Solving with the Coordinate Plane OVERVIEW In this 40-day module, students develop a coordinate system for the first quadrant of the coordinate plane and use it to solve problems.
More information1. Use the following directions to draw a figure in the box to the right. a. Draw two points: and. b. Use a straightedge to draw.
NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 1 Problem Set 4 Name Date 1. Use the following directions to draw a figure in the box to the right. a. Draw two points: and. b. Use a straightedge to draw.
More informationMCAS/DCCAS Mathematics Correlation Chart Grade 4
MCAS/DCCAS Mathematics Correlation Chart Grade 4 MCAS Finish Line Mathematics Grade 4 MCAS Standard DCCAS Standard DCCAS Standard Description Unit 1: Number Sense Lesson 1: Whole Number Place Value Lesson
More informationGrade 4 + DIGITAL. EL Strategies. DOK 1-4 RTI Tiers 1-3. Flexible Supplemental K-8 ELA & Math Online & Print
Standards PLUS Flexible Supplemental K-8 ELA & Math Online & Print Grade 4 SAMPLER Mathematics EL Strategies DOK 1-4 RTI Tiers 1-3 15-20 Minute Lessons Assessments Consistent with CA Testing Technology
More informationGrade 7 & 8 Math Circles. Mathematical Games
Faculty of Mathematics Waterloo, Ontario N2L 3G1 The Loonie Game Grade 7 & 8 Math Circles November 19/20/21, 2013 Mathematical Games In the loonie game, two players, and, lay down 17 loonies on a table.
More informationMrs. Ambre s Math Notebook
Mrs. Ambre s Math Notebook Almost everything you need to know for 7 th grade math Plus a little about 6 th grade math And a little about 8 th grade math 1 Table of Contents by Outcome Outcome Topic Page
More informationYear 4. Term by Term Objectives. Year 4 Overview. Autumn. Spring Number: Fractions. Summer. Number: Addition and Subtraction.
Summer Overview Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8 Week 9 Week 10 Week 11 Week 12 Autumn Number: Place Value Number: Addition and Subtraction Number: Multiplication and Division Measurement:
More informationMeasuring and Classifying Angles
Practice A Measuring and Classifying Angles Classify each angle as acute, right, obtuse, or straight. 1. 2. 3. 4. 5. 6. Use a protractor to measure each angle. 7. 8. 9. 10. Carl is making a desk for his
More informationLesson 9.1 Assignment
Lesson 9.1 Assignment Name Date Earth Measure Introduction to Geometry and Geometric Constructions Use a compass and a straightedge to complete Questions 1 and 2. 1. Construct a flower with 12 petals by
More informationLine: A long thin mark that continues forever in both directions. Lines are named by their end points with a line with arrows over the letters.
Name Points,, Lines,, Line Segments, and Rays Point: An exact location in space. Points on a line are given letter names. Name all the points on this line. Line: A long thin mark that continues forever
More informationRefer to Blackboard for Activities and/or Resources
Lafayette Parish School System Curriculum Map Mathematics: Grade 5 Unit 4: Properties in Geometry (LCC Unit 5) Time frame: 16 Instructional Days Assess2know Testing Date: March 23, 2012 Refer to Blackboard
More informationMath + 4 (Red) SEMESTER 1. { Pg. 1 } Unit 1: Whole Number Sense. Unit 2: Whole Number Operations. Unit 3: Applications of Operations
Math + 4 (Red) This research-based course focuses on computational fluency, conceptual understanding, and problem-solving. The engaging course features new graphics, learning tools, and games; adaptive
More informationRobotics Links to ACARA
MATHEMATICS Foundation Shape Sort, describe and name familiar two-dimensional shapes and three-dimensional objects in the environment. (ACMMG009) Sorting and describing squares, circles, triangles, rectangles,
More informationPrimaryTools.co.uk 2012 MATHEMATICS KEY STAGE TEST A LEVELS 3 5 CALCULATOR NOT ALLOWED PAGE TOTAL MARKS First Name Last
MATHEMATICS KEY STAGE 2 2006 TEST A LEVELS 3 5 CALCULATOR NOT ALLOWED PAGE 5 7 9 11 13 15 17 19 21 TOTAL MARKS First Name Last Name School Lin David Rosie 2 Instructions You may not use a calculator to
More informationMathematical Construction
Mathematical Construction Full illustrated instructions for the two bisectors: Perpendicular bisector Angle bisector Full illustrated instructions for the three triangles: ASA SAS SSS Note: These documents
More information10-1 Organizing and Displaying Data. Objectives. Organize data in tables and graphs. Choose a table or graph to display data. Holt McDougal Algebra 1
Objectives Organize data in tables and graphs. Choose a table or graph to display data. bar graph line graph circle graph Vocabulary Bar graphs, line graphs, and circle graphs can be used to present data
More informationNotes 5C: Statistical Tables and Graphs
Notes 5C: Statistical Tables and Graphs Frequency Tables A frequency table is an easy way to display raw data. A frequency table typically has between two to four columns: The first column lists all the
More information3rd-grade students were asked their favorite fruit. 5 students picked apples, 5 students picked oranges, and 3 students picked bananas.
Read each question carefully. AZ-3.MD.3 Represent and interpret data: Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step how many
More informationThe Pennsylvania System of School Assessment
The Pennsylvania System of School Assessment Mathematics Item and Scoring Sampler 2008 2009 Grade 7 Pennsylvania Department of Education Bureau of Assessment and Accountability 2008 2009 TABLE OF CONTENTS
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 informationFolding Activity 3. Compass Colored paper Tape or glue stick
Folding Activity 3 Part 1 You re not done until everyone in your group is done! If you finish before someone else, help them finish before starting on the next part. You ll need: Patty paper Ruler Sharpie
More informationMeasuring Angles With a Protractor Students are asked to use a protractor to determine the measure of four angles.
This is a resource from CPALMS (www.cpalms.org) where all educators go for bright ideas! Resource ID#: 68648 Primary Type: Formative Assessment Measuring Angles With a Protractor Students are asked to
More informationAddendum COLOR PALETTES
Addendum Followup Material from Best Practices in Graphical Data Presentation Workshop 2010 Library Assessment Conference Baltimore, MD, October 25-27, 2010 COLOR PALETTES Two slides from the workshop
More informationUsing Geometry. 9.1 Earth Measure. 9.2 Angles and More Angles. 9.3 Special Angles. Introduction to Geometry and Geometric Constructions...
Using Geometry Recognize these tools? The one on the right is a protractor, which has been used since ancient times to measure angles. The one on the left is a compass, used to create arcs and circles.
More informationTenMarks Curriculum Alignment Guide: EngageNY/Eureka Math, Grade 7
EngageNY Module 1: Ratios and Proportional Relationships Topic A: Proportional Relationships Lesson 1 Lesson 2 Lesson 3 Understand equivalent ratios, rate, and unit rate related to a Understand proportional
More informationMeasuring Angles. Lesson Notes. Drawing Angles - Part one. Here are some features of a protractor that you will need to know:
Measuring ngles Drawing ngles - Part one Throughout this lesson, you are going to be using a: Pencil (and occasionally an eraser!) Ruler Protractor Here are some features of a protractor that you will
More information