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81. Brock University Department Of Mathematics - Department NewsGSP
other lessons. The two lessons in this unit, Investigation of ratios and Investigation of proportions include premade sketches.
http://www.brocku.ca/mathematics/learningtools/geosketchpad/Ch3.htm
Integration of Geometer's Sketchpad in the Intermediate Division for Ontario Schools Chapter 3: RATIO and PROPORTION The chapter, Ratio and Proportion was setup very differently than all the other lessons. The two lessons in this unit, Investigation of Ratios and Investigation of Proportions include pre-made sketches. Through the use of the sketch, students investigate what a ratio/proportion is, the key differences between them, the similarities, and how to calculate a ratio and a proportion. Both lessons are best taught through student-directed learning. Teachers should focus on student understanding of the transition from a visual to the concrete and vice versa for each lesson. LESSON ONE - Investigation of Ratios ONTARIO CURRICULUM Covered:
  • Covered in grade six Number Sense and Numeration Expectations but very closely related to the grade seven expectations on fractions.
In this lesson students manipulate a ratio line to formulate a ratio. By using a line that goes up to ten, students have a clear understanding of 2 out of 10. Many students understand the ratio line as a ruler where 10 represent 1 cm and each point in between represents a millimeter. By the end of this investigation students have a clear understanding of a ratios, how to write a ratio, and can visualize a ratio. This lesson gives students the necessary explanation and visuals that students require too understand ratios at the grade seven and eight level.

82. RichlandOne Interactive - Curriculum Connections Grade 6
Grade Six Units/lesson plans Click a link below to jump to a subject area Use ratio and proportion in everyday situations.
http://www.richlandone.org/teachers/connections/grade6/lessons_6.htm
Kindergarten Grade One Grade Two Grade Three ... Grade Five Grade Six Grade Seven Grade Eight Grades Nine - Twelve Grade Six Units/Lesson Plans
Click a link below to jump to a subject area: MATH WORLD HISTORY READING/LANGUAGE ARTS SCIENCE ... SOCIAL STUDIES MATHEMATICS Top Go Figure! Using Percents In the Real World
Core Curriculum Objective(s):

The students will apply the concepts of percent to solve real world problems involving unit price, best buy, commission, interest, sales tax, discount, and percent of error/increase/decrease.
Solve multi-step application problems involving fractions and decimals in a variety of real world context, including unit price, and present data and conclusions in paragraphs, tables or graphs. PEMDAS - Order of Operations
Core Curriculum Objective(s):
The student will evaluate, demonstrate, and apply order of operations (including the use of grouping symbols).

83. MONEY MAKES THE WORLD GO AROUND
Emphasize use of same ratio and proportion pattern so students acquire a definite Return to European lesson plans Table of Contents. Return to IGA Home Page.
http://www.coe.ilstu.edu/iga/GWmoney.htm
MONEY MAKES THE WORLD GO AROUND Glen Weatherwax
Illinois Geographic Alliance Summer Institute, 1998
Preview of Main Ideas Traveling to various countries and having to change U.S. dollars into local money can be confusing. Following a ratio pattern can simplify such currency exchanges. Connection with the Curriculum This activity can be taught in Geography, Social Science, or Mathematics classes. Teaching Level : Grades 6-8. Objectives Classification Outline (Also see objectives classification matrix below.) Objective #1 : The student will understand how to exchange one currency for another. Essential Element: Human Systems. Knowledge Statement #2: The basis for global interdependence. Skill Set #4: Analyzing geographic questions. Theme: Human-Environment Interaction. Objective #2 : The student will learn a ratio to implement currency exchange rates. Essential Element: Human Systems. Knowledge Statement #2: The basis for global interdependence. Skill Set #4: Analyzing geographic information. Theme: Place. Materials
  • Various currency exchange tables.
  • 84. Educate The Children / Teacher Zone / Classroom / Numeracy
    below you will find mental starters, main lesson activities and and rounding Fractions, decimals and percentages Ratio and proportion Calculations Number
    http://www.educate.org.uk/teacher_zone/classroom/numeracy/
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    Our Numeracy section complements the National Numeracy Strategy . A full unit of work is provided: weekly lesson plans, worksheets, interactive resources and assessment. Within each strand below you will find mental starters, main lesson activities and suggestions for the plenary. Numbers and the number system Counting Properties of numbers and number sequences Negative numbers Place value and ordering ... Fractions, decimals and percentages Ratio and proportion Calculations Number operations and relationships Recall of number facts Pencil and paper methods Using a calculator Checking Solving Problems Making decisions: deciding which operation and method of calculation to use Reasoning about numbers or shape and making general statements about them Solving problems involving numbers in context: 'real life', money, measures

    85. Size And Scale--Physical Science/Physical Science/Mathematics Lesson Plan (grade
    Definition A ratio—the relation of one part to another or to pay rent while a small proportion was used This lesson plan may be used to address the academic
    http://school.discovery.com/lessonplans/programs/sizeandscale/

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    9-12 > Physical Science Grade level: 9-12 Subject: Physical Science Duration: One class period
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    Find a video description, video clip, and discussion questions.
    Size and Scale-Discover Magazine: Skyscraper

    Use our free online Teaching Tools to create custom worksheets, puzzles and quizzes on this topic!
    Students will understand the following: The relative sizes of bodies in our solar system affect life on Earth. Using mathematical proportions, we can create scale models of parts of our solar system. Making a scale model of the entire solar system is problematic because the distances in space are so great that even a very small scale model would be too large to be practical. The entire class will require research materials on the solar system, in addition to a computer with Internet access to aid their research. The following materials should be distributed to each group: Modeling clay Ruler Marble String Divide your class into groups, distributing materials to each group. Either have students obtain the following information through research or provide the information for them: the diameter of the moon is 3,476 kilometers, the diameter of Earth is 12,734 kilometers, and the average distance of Earth from the moon (it changes slightly over time) is 384,000 kilometers.

    86. TeacherSource . Math . Videostreaming Search Grades 6-8 | PBS
    Something Fishy Apply the concepts of ratio and proportion to the capturerecapture statistical procedure. Read lesson Plan List lesson Clips.
    http://www.pbs.org/teachersource/mathline/lessonplans/search_6-8.shtm
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    Friday, June 11, 2004
    Lessons Plans with Video
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    Search Mathline Video Clips for Grades 6-8 Math Categories and Topics Math Categories Algebra Computation Geometry Measurement Numeration Problem Solving Math Topics Charts and Tables Compass and Protractor Computers Coordinates and Graphs Decimals Equations Estimation Exponents Formulas, Expressions, and Substitution Fractions Integers Manipulatives Mean, Median, and Mode Metric System Mixed Numbers Multiples and Factors Order of Operations Percent Perimeter and Circumference Prime Numbers Probability Ratios and Proportions Solving Equations Graphically Symmetry Variables Word Problems Search Tips About Searchable Video
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    87. Unit Ten- Statistics
    Day 129. Title Ratio and Proportion Practice lesson Plan. Annotation The lesson is created for day 129 of the 180 day sequence.
    http://www.glc.k12.ga.us/seqlps/sudspres.asp?SUID=296&SSUID=171&SSTitle=Eighth G

    88. Lesson Plan: Funny Face Portraits - By Linda Woods
    John s Lower School, Houston, Texas Unit Drawing lesson Plan Funny Face Self will draw facial features in correct proportion studying ratio of eye
    http://www.princetonol.com/groups/iad/lessons/elem/linda-faces.htm
    Submitted by: Linda Wood, St. John's Lower School, Houston, Texas
    Unit: Drawing
    Lesson Plan: Funny Face Self Portraits
    Grade Level: 4 thru 6 (these are 5th grade)
    School Web Site: St. John's Lower School
    Click on thumbnails to see larger images Objectives:
    • Integrate technology - use digital camera Gain appreciation for the drawings by Leonardo da Vinci Students will show human emotion Students will draw facial features in correct proportion - studying ratio of eye width to the rest of the facial features Students will create values by varying pencil pressures
    Materials: Digital camera,
    12"x18" drawing paper, pencils erasers, rulers optional Resources: Drawings of Leonardo da Vinci Drawing of a man more drawings Additional drawings of grotesques ... Drawings/painitings by Honore Daumier may also be used
    Betty Edwards, Drawing on the Right Side of the Brain Preparation: Take digital pictures of the kids "making their best silly face, or showing an extreme emotion," while they are finishing up another project. I told them that they were to include their hands near their faces in the photos. The most hilarious thing is that I never told them what we were going to do with the photos. If I did tell them in advance that they were going to draw themselves, they would have been more inhibited. They really played the fool for these pictures and had a great time doing it.

    89. Crmse: Thought And Action In Context
    Then the following activity was posed Plan a lesson to introduce rate of change to a class of Algebra 1 students. Connect the lesson to ratio and proportion.
    http://www.ncsu.edu/crmse/papers/thought_and_action_in_context.html
    Thought And Action In Context:
    An Emerging Perspective Of Teacher Preparation
    Berenson and Cavey
    (PME-NA XXII; October, 2000)
    http://www.west.asu.edu/cmw/pme/resrepweb/PME-rr-Berenson.htm Sarah B. Berenson
    North Carolina State University
    berenson@unity.ncsu.edu
    Laurie O. Cavey
    North Carolina State University
    locavey@unity.ncsu.edu

    Introduction
    Theoretical Perspective and Methodology
    Preservice Teachers . Due to limitation of space, data from one preservice teacher is reported and analyzed here. Planning to teach high school mathematics, Chris, age 20, transferred from a community college to the university. At the time of study, she was taking her first mathematics education methods course with 40 hours of school internship and had completed 6 rigorous mathematics courses beginning with the engineering calculus sequence. Her 3.8 GPA indicated successful college experiences as a student. Protocol Plan of Analysis Making Sense of the Data familiar contexts for algebra 1 students.

    90. Golden Ratio Lesson Plan
    The basic lesson was completed in one 80 minute class period. Another name for the Golden Ratio is teh Divine Proportion. The description of this
    http://www.saintjoe.edu/~tsp/lessonplan
    Lesson Plan:
    Golden Ratio of the Human Body Scholar: Todd Huff
    Teacher: Scott Micklo
    Contact thf3296@saintjoe.edu
    Todd Huff's Home Page

    Lesson Overview
    Projected Time Schedule for Project ... References
    Lesson Overview The purpose this lesson is to provide students with a hands-on activity to accompany a unit involving ratios. In this activity, students calculate the ratio of the height of the body to the height of the navel. Students will discover that the ratios are all approximately equal. Indeed, the ratio of the height of the body to the height of the navel is consistent with the Golden Ratio. The lesson, then, introduces the concept of the Golden Ratio and provides students with knowledge to explore the presence of Golden Ratios in their everyday lives. The lesson incorporates several of the standards found in Principles and Standards for School Mathematics as encouraged by the National Council of Teachers of Mathematics. For example, the lesson enables students to connect mathematics to realms outside of mathematics. Specifically, the Goldren Ratio is present in nature, including the human body, and architecture. In addition, the lesson incorporates measurement by having the students use a meter stick to obtain data involving measurable attributes of concrete materials.

    91. Grade 8 Mathematics
    Numbers and Operations, Square Root, Gives explanation of the topic, then provides a lesson and the answers. Ratio and Proportion, Percent, This is an
    http://www.saskschools.ca/curr_content/elem_obj/gr8/8math.html
    Grade 8 Mathematics Unit or Strand Component Description Type URL Algebra Variables Lessons give practical tips, hints, and examples, and point out common mistakes. Student Purplemath - Your Algebra Resource Algebra Variables Online source for help with algebra. Includes calculators, lessons, worksheets, and resources designed to help students learn and understand algebra. Both Algebra.help All Areas of Math Forum Students may browse questions and answers to common math problems. They may also conduct a specific search to answer their question. Student Ask Dr. Math All Areas of Math Games/Activities Interactive math games. New interactivities are added every week. Student Mathematical Interactivities All Areas of Math Games/Activities All areas of math are explained with examples. There are interactive examples for students to practice on. This page also links to other math sites for activities and lesson ideas. Both AAA Math Eighth Grade All Areas of Math Games/Activities Helps students improve their math skills interactively. Includes links to: the Game Room, Flashcards, Worksheets and a Homework Helper

    92. Content Index
    Patterns. Place Value. Probability. Problem Solving. Ratio and Proportion. Sets and Groups. Symmetry. Time. Top of Page. TM © 20041996 Scholastic Inc.
    http://teacher.scholastic.com/ilp/index.asp?SubjectID=3

    93. Unit Plan
    In those two weeks, students will check their stocks each day and later apply the lessons used in class to analyze Ratio and Proportion – for every
    http://www.tcnj.edu/~mulliga4/Unit Plan.htm
    Unit Plan Stock Market Project Overview: This unit will seek to unify four main mathematical concepts through a stock market project completed individually by each student. The five concepts to be covered are: ratio and proportion, percent increase and decrease, the counting principle, probability, and graphing. In addition, applications of these topics as they pertain to the stock market project will also be studied. The stock market will serve as a means of unifying the content and generating increased levels of student interest. The project will involve each student picking a stock of his or her choice to track over the two weeks spanned by this unit. In those two weeks, students will check their stocks each day and later apply the lessons used in class to analyze, compare, and graph their data. Examples of this application include, but are not limited to: Ratio and Proportion – for every dollar Tommy made, Sue made x dollars Probability – what is the theoretical probability of a stock going up three days in a row? down two days in a row? Up one day, down the next? Percent Increase/Decrease – what percentage did each students profits increase or decrease over the two week period?

    94. Unit Plan For Ratio, Proportion, And Percent
    Printerfriendly window featuring this article; select File Print. Unit Plan for Ratio, Proportion, and Percent. Curriculum Unit Plan. Mathematics. Seventh Grade.
    http://www.michigan.gov/scope/0,1607,7-155-13497_13503_13505-36569--,00.html
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    Eighth Grade

    Unit Plan for Ratio, Proportion, and Percent Curriculum Unit Plan Mathematics Seventh Grade Unit 3: Ratio, Proportion, and Percent Abstract In this unit students learn to reason proportionally. Proportional reasoning provides an underpinning for the study of algebra in future years. Students learn to think in relative amounts as expressed by ratios and rates (e.g., 15 miles/gallon, 4/3). When students perceive relationships involving growth, unit costs, etc., they are thinking proportionally. They learn how to apply ratio and proportion to many daily activities such as sales tax, the relationship between hours worked and earned income, actual distances between cities compared to map distances, and unit pricing at grocery stores. Percents are studied as ratios in which the divisor is 100, and students apply percent in many practical situations. Unit Title Ratio, Proportion, and Percent Grade Level/Course Title Seventh Grade/Mathematics Focus Questions What is proportional reasoning and how do we use it Do you need one hundred things to use percent How can proportional relationships be represented using tables, graphs, and

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