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41. Math: Ratios And Proportions | EThemes | EMINTS
Learning ratios and proportions through Scale Drawing This lesson plan ratios and proportions Here is a lesson plan where students can apply their
http://www.emints.org/ethemes/resources/S00001558.shtml
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Math: Ratios and Proportions
Contact eThemes@emints.org if you have questions or comments about this resource. Printer-friendly version Please preview all links before sharing in class with students. Title: Math: Ratios and Proportions Description: Learn about ratios and proportions. Find out how knowledge of these mathematical concepts is used in everyday life. Includes lesson plans, animation, online and printable worksheets, online exercises, games, and quizzes. Grade Level: Resource Links: All about Ratios
Here are online ratio exercises, problem solving, and a quiz for younger kids.
Learning about Ratios: A Sandwich Study

This lesson plan was developed for fourth-sixth grade students. This activity is designed to help kids gain an understanding of the concept of a ratio while tasting peanut butter and jelly.
Home Work for Kids

These worksheets have exercises for young kids to practice ratios and proportions. Use links at the top to move through the pages. Click on the "Exercises" link and scroll to the section "Ratio and Proportion" for more worksheets.
BrainPOP: Math: Using Proportions

Select the "Using Proportions" link to watch an animated movie about proportions and time traveling in the Math section of the site. Click on the "Ex-Lab Rat Bob" icon for a fun experiment that uses proportions.

42. Classroom, Inc. - Lesson Plan: Rates And Proportions
better understand and apply concepts related to ratios and proportions. If using this lesson plan as a presimulation activity, students can begin
http://www.classroominc.org/products/simulations/lessonplans/activities/riotech/
Your browser does not support this script Lesson Plan:
Rates and Proportions Submitted By Dale Kelly School/District I.S.232, Brooklyn, NY Overview This lesson will help students better understand and apply concepts related to ratios and proportions. ( NOTE: This lesson can be used for a pre- or post-simulation activity.) Simulation and Episode RioTech Solutions
Episode #2: “Rockin’ the Web” Subject Area Mathematics Suggested Grade Levels Middle School Time Allowance One class period Concepts/Objectives Students will be able to:
  • Compute accurately with arithmetic operations on rational numbers. Use rates and ratios to express “part-to-part” and “part-to-whole” relationships. Reason proportionally to solve problems involving equivalent fractions and ratios.
  • Resources/Materials
    • “Ratio Table” worksheet Worksheet transparency Overhead projector Internet access (optional)
    Activities/Procedures Warm-up : Ask students to represent the make-up of the class as a ratio of girls to boys. Make sure students remember to use a colon in their representations (i.e., 10:15)

    43. COMETS LESSON PLAN: WORKING WITH RATIOS
    COMETS lesson PLAN Working With ratios. Activity Area Mathematics Students willthen create equivalent proportions based on their ratios. Materials
    http://www.rit.edu/~comets/pages/lessonplans/workratios.html
    COMETS LESSON PLAN
    Working With Ratios
    Activity Area: Mathematics Developed by: Lori C. Niemann
    National Technical Institute for the Deaf
    Rochester, NY
    Target Audience: - Middle School Algebra Introduction:
    Students will participate in a game called "The Penny Box," calculating the ratio of events such as number of misses to the total number of pennies thrown. Students will then create equivalent proportions based on their ratios. Materials:
    • Pennies Cardboard box
    Hands on Activity:
  • Introduce the formal definition of Ratio to the students. A Ratio is a comparison of two measurements. Students are to take turns tossing 10 pennies towards the center of the cardboard box provided by the teacher. Using the worksheet provided, students should be recording the misses and successes of each other. When everyone is finished, students are then to calculate the ratio of hits to total shots. On a second worksheet, students are to choose two of the students in class and predict using their information, how many hits would be made if there were 20 shots taken, 50 shots, or 100 shots. Discuss with students their predictions and reasons. Explain the definition of a proportion. Demonstrate how to use a proportion to solve a problem like the above predictions that does not include guessing.
  • 44. Ratios And Proportions
    Derive the proper ratios and proportions from given descriptions. lesson /INFORMATION ratios are simply comparisons among quantities of the same kind
    http://www.leeric.lsu.edu/bgbb/7/ecep/math/q/q.htm
    Ratios And Proportions
    GOAL:
    To accurately complete a variety of problems involving ratios and proportions.
    OBJECTIVES:
    The student will be able to: 1. Define the terms "ratio" and "proportion". 2. Derive the proper ratios and proportions from given descriptions. 3. Complete problems involving ratios and proportions.
    ENERGY OBJECTIVE:
    The student will be able to: 1. Discuss window and door placement on the home for maximum energy savings.
    LESSON / INFORMATION:
    Ratios are simply comparisons among quantities of the same kind. Ratios can be helpful in solving a variety of mathematical problems. An example of a ratio might be 1:4. Ratios are a usually written in this format; however, they may also be written as a fraction, such as 1/4. The ratio is read as "one to four". How are ratios derived? Remember, a ratio is simply a comparison between two like quantities. See Example 1. Example 1: A home has 2400 square feet of living space. The home also has 400 square feet of glassed window area. What is the ratio of glassed area to total square footage?
    OR
    It is more accurate to express the ratio in lowest terms. If necessary, refer to the lesson on reducing fractions for the procedure:

    45. UbD
    UbD (Understanding by Design) lesson Plan. Math (Geometry, 6th Grade) Students will use ratios, proportions and different scales to determine drawing
    http://www.intermath-uga.gatech.edu/lesson/symmetry_lesson.htm
    **Written by Laura Grimwade, Rockdale County
    UbD (Understanding by Design) Lesson Plan Math (Geometry, 6 th Grade)
    Stage 1 – Desired Results
    Established Goals: (M6G1) Students will further develop their understanding of plane figures. (M6P1) Using appropriate technology, students will solve problems that arise in mathematics and in other contexts. (M6P5) Students will create and use pictures, manipulatives, models, and symbols to organize mathematical ideas. Understandings:
    Students will understand that…
    objects may or may not have line and/or rotational symmetry. scale drawings are related to real-world similar plane objects that are large or small. scale provides a mechanism by which we can solve problems related to large or small real-world objects. Essential Questions: Why is it important to understand symmetry? Why are plane figures important in the real world? How are scale drawings related to similar plane figures? How can you represent a large image in a smaller proportion? To what extent do professionals use scale to analyze real-world extremely large or microscopic objects?

    46. MarcoPolo Discovers Mississippi Mathematics Framework (Pre
    Use ratios, proportions, and percents to solve problems. (P, M, G, N) MarcoPolo lesson plan. b. Use proportions and equations to find part, rate,
    http://marcopolo.mde.k12.ms.us/frameworks/mathematics/ma_pre-algebra_c04.html

    47. MarcoPolo Discovers Mississippi Mathematics Framework (Geometry
    Apply ratios and proportions to solve for unknown measures in similar polygons . of Inscribed Figures Using Interactive Diagrams MarcoPolo lesson plan
    http://marcopolo.mde.k12.ms.us/frameworks/mathematics/ma_geometry_c04.html

    48. Cleopatra
    lesson plan based on Cycladic Figure Practice measuring proportions. • Convertmeasurements to ratios to solve problems.
    http://www.artic.edu/cleo/Teachfolder/Cyclhtml/FINAL/Cycl.Math.2.html
    Lesson Plans Cycladic Figure It's All Proportional
    Lesson plan based on Cycladic Figure
    Skills and Focus:
    Measuring, Problem Solving Subject Area: Mathematics Thematic Connection: Counting and Calculating Grade Level: Middle School Time Needed: 60 minutes
    Objectives
    Instructional Materials Needed
    Cycladic figure Ruler, yard stick, or measuring tape Paper and pencils
    Activity: Step 1: Explain to students that according to the Greek canon of proportion, the length of the body is equal to 8 heads (1:8). Have each student measure the head and the entire length of the figure and record the information. Then have students calculate the length of the body using the 1:8 ratio. Step 2 : Have students determine whether there is enough information to calculate the length of the lower legs and then do so. Ask students to sketch the lower legs and feet on the printout of the figure to confirm their findings. Step 3
    Goals
    This activity meets Illinois State Goal Demonstrate and apply a knowledge and sense of numbers, including basic arithmetic operations, number patterns, ratios, and proportions. This activity meets Illinois State Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems, and predict results.

    49. Cleopatra
    lesson plan based on Fallen Warrior Using ratios and proportions, have studentsconvert the prior measurements to (a). life—size (dimensions of a real
    http://www.artic.edu/cleo/Teachfolder/WarriorHTML/FINAL/Warrior.Math.2.html
    Lesson Plans Fallen Warrior Scaling Down Art
    Lesson plan based on Fallen Warrior Change the scale of a work of art using ratios, percentages, and proportions. Skills and Focus: Measuring, Calculation Subject Area: Mathematics Thematic Connection: Counting and Calculating Grade Level: Middle School Time Needed: 90 minutes
    Objectives
    Instructional Materials Needed
    Warrior Butcher paper Rulers or tape measures Pencils and markers
    Activity Step 1: Have students measure the printout of the Fallen Warrior. Explain that the size of the original sculpture is 21" high by 31" wide. Using ratios and proportions, have students convert the prior measurements to (a). life—size (dimensions of a real man), and (b). wall size (large enough to fill a portion of a classroom wall, so that the outline approximates the scale of a figure in a mural painting). Step 2: Using butcher paper, have students make outline drawings based on the printout in three different sizes: the original sculpture size (21" x 31"), life-size and the wall-size. The original sculpture panel was designed for the walls of a colonnade or courtyard. Have students discuss where the images of the two enlarged sizes might be, or could have been, displayed. Step 3 : Finally, tell students to use percentages as a means of comparing the different sizes of all four images (printout size, actual sculpture size, life-size, and wall size). For example, if the printout of the Fallen Warrior is 10 x 15 inches, then it is approximately 50% the size of the actual sculpture.

    50. IdahoPTV NTTI Lesson Plan: A Recipe For Success
    Review the lesson plan. Pay particular attention to the sections containing Focusfor Apply ratios and proportions to mixing chemicals in a science lab.
    http://www.idahoptv.org/ntti/nttilessons/lessons2003/henderson.html
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    A Recipe For Success
    by Roger C. Henderson
    Boise State University Grade:
    Time Allotment: One 45-minute class period
    Subject Matter: Mathematics Overview: This is an interactive, media enhanced lesson that requires students to examine ratios and proportions. The primary goal is to develop connections between math and real-world situations. Through the use of video, students will explore a relevant application of ratios and proportions. Using the internet, students will apply this concept through guided practice and interactive feedback. Students will then make connections to other real-world examples by applying this knowledge to similar problems in other areas. This lesson incorporates mathematical skills, reading, and writing in an interdisciplinary format. Learning Objectives: Students will be able to:
    • Apply equivalent ratios Apply scaling to ratios and proportions Apply ratios and proportions in real-life situations
    Standards: National Standards (From National Council of Teachers of Mathematics grades K-12) Idaho State Standards I: Numbers and Operations
    • Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

    51. ENC Online: ENC Features: Lessons & Activities: Math Topics: Ratio/Proportion/Sc
    Use math topic words to find web sites with lesson plans and activities. he describes how he uses each to relate scale to ratio and proportion.
    http://www.enc.org/features/lessonplans/math/0,1544,1-ratio proportions scale-an
    Skip Navigation You Are Here ENC Home ENC Features Math Topics Search the Site More Options Don't lose access to ENC's web site! Beginning in August, goENC.com will showcase the best of ENC Online combined with useful new tools to save you time. Take action todaypurchase a school subscription through goENC.com Classroom Calendar Digital Dozen ENC Focus ... Ask ENC Explore online lesson plans, student activities, and teacher learning tools. Find detailed information about thousands of materials for K-12 math and science. Read articles about inquiry, equity, and other key topics for educators and parents. Create your learning plan, read the standards, and find tips for getting grants.
    Math Topics
    Use math topic words to find web sites with lesson plans and activities.
    Ratio
  • Tessellation tutorial : tutorials and templates for making your own tessellations
    Featured in ENC Focus ENC Digital Dozen Site
    Date: Grade(s): Cost: Free ENC#:
    This World Wide Web (WWW) site provides tutorials and templates for students to design their own tessellations. The first two main links explain what tessellations are and how they are related to mathematics.
    (For more details, see
  • 52. Architects In Action--Mathematics/Physical Science Lesson Plan (grades 6-8)--Dis
    Using what you have learned about ratios, proportions, and scale models, This lesson plan may be used to address the academic standards listed below.
    http://school.discovery.com/lessonplans/programs/architectsinaction/
    postionList = "compscreen,hedthick,admedia,tower,nuiad,interstitial"; OAS_RICH("interstitial"); OAS_RICH("admedia");
    Grades K-5
    Grades 6-8 Grades 9-12
    Astronomy/Space
    ... Health History
    Ancient History
    U.S. History World History Life Science Animals Ecology Human Body The Microscopic World ... Weather
    6-8 > Mathematics Grade level: 6-8 Subject: Mathematics Duration: Two class periods
    Objectives
    Materials Procedures Adaptations ... Credit
    Objectives
    Find a video description, video clip, and discussion questions.
    Use our free online Teaching Tools to create custom worksheets, puzzles and quizzes on this topic!
    Students will:
    understand that ratios are used to create scale models of buildings and structures; understand the principles of ratio and apply these principles in the solution of problems; and understand how to calculate scale using ratio. Materials The class will need the following: 0.25-inch graph paper map(s) of the United States pencils ruler (metric or inches) tape measure Take-Home Activity Sheet: Home Measurements Procedures Begin by introducing the concept of scale. Write the word

    53. Proportions With Words
    Title Proportion Card FileName lesson 127_Proportion Card.doc Explain tostudents that ratios and proportions are really relationships between numbers
    http://www.glc.k12.ga.us/BuilderV03/LPTools/LPShared/lpdisplay.asp?LPID=61664

    54. Math Lesson Plans
    Cooking by the Numbers ratios/proportion the metric system; and more. 200 math lesson plans created by teachers through the SMILE (Science and
    http://www.kent.k12.wa.us/curriculum/math/teachers.html
    • 100th Day Celebration Ideas
      • 300 ideas from teachers, librarians and others on how to celebrate the 100th day of school.
      Abacus: The Art of Calculating with Beads
      • Learn to use an abacus, discover the history and more.
      AIMS Education Foundation
      • Activities Integrating Science Math and Technology - find activities, lessons, puzzles and more here.
      AIMS Puzzle Corner
      • Math puzzles teachers can use with students. One puzzle per month. Solutions are posted the following month. Archives hold past puzzles.
      Bamdad's Math Comics
      • A wide collection of math humor in the form of comics.
      Casio Contest Page
      • Run by the University of Central Florida and the University of Mississippi, this site allows students to answer a problem of the week in order to attempt to win a Casio calculator. Problems are divided into elementary, middle, high school and higher levels. Students can solve current or past problems. Teachers should monitor this activity and check permission requirements for students e-mailing personal information on the Internet before allowing students to participate.
      CLN Curricular Resources in Mathematics
      • From the Community Learning Network (CLN) comes a math page with links to information on Math Careers, Math History, Fractals, and Tessellations, as well as links to many general math resources.

    55. Lesson Plan Template
    Karen North, Period 1A, 2A, 4A, Computer Science I, lesson C3 Introduction TLW review program definitions with ratios and proportions.
    http://teachertech.rice.edu/Participants/knorth/CS/L10C3.html

    56. WVPT4Learning - Lesson Plans
    Topic Flight and Ratio. This is an introductory lesson on the principles of flight . Topic proportions and Similar Triangles. This lesson discusses
    http://www.wvpt4learning.org/LessonListGrade_new.asp?sval=6&eval=8

    57. State And National Resources - Louisiana
    Mathematics Applications and Concepts, Course 1 ©2005 — lesson plans Chapter 9 — Ratio, proportions, and Percent Chapter 10 — More Statistics and
    http://www.glencoe.com/sec/math/state/la.htm
    Louisiana State Resources NCTM Principles and Standards
    NCTM Principles and Standards

    NCTM Principles and Standards

    Theorem
    ...
    Correlation of Louisiana State Objectives to Lessons

    Additional Lessons for Louisiana Mathematics: Applications and Concepts, Course 1
    State Home Page
    Louisiana State Home Page
    State Department of Education
    Louisiana Department of Education
    State Libraries
    State Library of Louisiana
    State Education Information
    Department of Education
    Contents Standards State Testing Accountability FREE GLENCOE LOUISIANA TEST PRACTICE CD!! Brenda Collins brenda_collins@mcgraw-hill.com

    58. Nugent/Smith
    lesson Plan Swish Applying Statistics to Real Life Apply proportionalthinking to problem situations including ratios and proportions and percents.
    http://www.intime.uni.edu/lessons/062aims/default.htm
    Lesson Plan: Swish: Applying Statistics to Real Life
    Teachers: Chris Nugent and John Smith
    School: Fulton School
    City/ State: Dubuque, IA Curriculum Area: Mathematics
    Grade Level: Video Number: PURPOSE:
    Students will apply statistics to real life situations.
    OBJECTIVES:
    • Students will be able to compute personal percentages. Students will be able to compute personal averages. Students will conduct on-line research of shot data and percentages for professional basketball players. Students will be able to compare computed data to researched data. Students will write a letter informing professional organizations of their findings.
    Our goals and objectives are based on Dubuque Community School District Benchmarks for 6th grade which are:
    DCSD mathematical standard 2.4: Apply proportional thinking to problem situations including: ratios and proportions and percents.
    DCSD mathematical standard 5.2: Organize and display data from statistical investigations using appropriate tables, graphs, and/or charts, including circle, bar and line graphs.
    DCSD Technology standard 1.1 and 2.5: Create documents using word processing and simple spreadsheets.

    59. BUILDING A TOPOGRAPHIC MODEL
    lesson Plan. Overview Topographic maps are used extensively by a variety scale (approximately 114000) of the model by using ratios and proportions and
    http://visearth.ucsd.edu:16080/VisE_teach/lessons/topog_LP.html

    60. PD-ROM - Lesson Plan
    lesson plans Search Webliography. Icon Legend. Example Introduction lessonplans PROPORTION 2 equivalent fractions or ratios (1/2 = 2/4)
    http://pdrom.coursepath.org/tools/lesson_view.cfm?lKey=7189

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