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41. Lesson Plan And Homework
and will go to coolmath.com and will do activities using ratios and proportions Construct you own word problem that sets up a proportion. lesson 11.2 Percents.
http://home.earthlink.net/~ghaynes13/Inman/Haynes2002_03/Pre_Algebra/February/Al
Pre-Algebra
February Project Timeline Week 1 Week 3 Week 4 ... Week 5 Objectives Monday 9 Homework Solve Proportions. Use proportions to solve real-life problems. QCC: 1, 28 Ratio and Proportion Warm - up (10 min) - The students will work on problems written on the overhead projector for review or remediation. Activity - (35 min) - The students will be introduced to similarity and ratio and proportions by examining various web sites that involve architecture and design. They will then be given measuring tape and told the length of the Statue of Liberty's nose and asked to find the length of her arm using the measuring tape and a pencil. They will work in groups to do this. We will put the results in the graphing calculator to graph a box-and-whiskers plot. We will do a statistical analysis and compare the results to the real value. Closure - (15 min) - The students will present their findings to generate a class discussion. Solve problems written on the board.

42. NCTM Lesson Plan
mathematics Overview In this lesson, students use real methods for solving problems involving proportions, such as scaling and finding equivalent ratios.
http://illuminations.nctm.org/lessonplans/6-8/rationalnumbers/
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NCTM Publication-Based Lesson Plan / 6 - 8
Understanding Rational Numbers and Proportions Overview : In this lesson, students use real-world models to develop an understanding of fractions, decimals, unit rates, proportions, and problem solving.
Mathematical Learning Objectives:
  • To represent parts of a whole using an area interpretation of fractions To determine the fractional part of a whole when parts are not cut into equal-sized pieces To develop an understanding of the quotient interpretation of fractions To find the unit cost of items that are part of a set To determine the relationship among parts of a whole that are unequal-sized pieces To express fractional parts of a whole as decimal equivalents.
NCTM Standards: Number and Operations
http://standards.nctm.org/document/chapter6/numb.htm Understand meanings of operations and how they relate to one another
  • Understand the meaning and effects of arithmetic operations with fractions, decimals, and integers Use the associative and commutative properties of addition and multiplication and the distributive property of multiplication over addition to simplify computations with integers, fractions, and decimals

43. AAM—The Renaissance Connection: Lesson Plans: Using Ratios
proportion the relationship between two or more parts of a whole. ratio the relationship in quantity, amount, or size between two things. lesson plans.
http://www.renaissanceconnection.org/lesson_math_ratios.html
Using
Ratios Class: Math
Theme(s):
Background
Leonardo Fibonacci was a Renaissance mathematician who generated a sequence of numbers that represent a "natural" order. The Fibonacci sequence is generated by adding the previous two numbers in the list together to form the next and so on and so on: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55... The Fibonacci sequence can be found throughout nature. Look closely at a cauliflower and you'll see two spirals running in opposite directions. Count the number of florets in one of the spirals and you will find they follow the Fibonacci sequence.
Divide any number in the Fibonacci sequence by the number before it, and the answer is always close to 1.61803. This is known as the Golden Ratio. Ratios are pairs of numbers used to make comparisons. Ratios can be written in different ways: 1 to 1.61803 or 1:1.61803, both meaning the same thing: the Golden Ratio. Like cauliflowers, snails too are touched by nature's golden ratio. Draw a rectangle in the proportions of the golden ratio, then draw consecutively smaller rectangles within it. Join diagonal corners with an arc. The result is a perfect snail shell.
Giovanni Agostino da Lodi
Adoration of the Shepherds
About 1505
Oil on wood panel Enlarge Renaissance artists used the Golden Ratio to determine beautiful proportions in painting compositions. The proportion of land to sky in landscapes was figured using the Golden Ratio, and rectangular paintings were planned using the Golden Ratio to determine the sides of the rectangle: 1 to 1.61803. The composition of the

44. CyberSleuthKids: Middle School Math
Ratio and Proportion Learn about ratios and proportions http //mathleague.com/help/ratio/ratio.htm; Click Here. lesson plan Central.
http://cybersleuth-kids.com/sleuth/Math/Middle_School/
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Stay up-to-date! Sign up for our mailing list Subject Themes Dinosaurs Civil War Educational Software US States ... Ancient Civilizations Clipart Mathematics Explorers Inventors ... Lessons US History Search: Home Math Middle School SEARCH RESULTS 1 - 12 of 19
  • Learn To Factor http: //forum.swarthmore.edu/dr.math/faq/faq.learn....
  • 45. CyberSleuthKids: Middle School Math
    html Ratio and Proportion Learn about ratios and proportions. http//www.mathleague.com/help/ratio/ratio.htm Scientific Notation Learn how lesson plan Central.
    http://cybersleuth-kids.com/sleuth/Math/Middle_School/index1.htm
    Home Fun and Games Science Math ...
    CLIPART
    A Great Site to find school related clipart.

    Over 20,000 pictures, illustration, clipart and images to download!!
    CLIPART INDEX
    Clipart
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    Free Lesson Plans in Math, Social Studies, Art, Language Arts, and Science. Rubrics, Worksheets, and Teacher Productivity Tools!!
    Math Worsheets

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    Online Word Search

    Stay up-to-date! Sign up for our mailing list Subject Themes Dinosaurs Civil War Educational Software US States ... Ancient Civilizations Clipart Mathematics Explorers Inventors ... Lessons US History Search: Home Math Middle School SEARCH RESULTS 13 - 19 of 19
  • US/Metric Tables http: //allmath.com/metrictable.asp
  • 46. SMart Books Lesson Plan
    What is the ratio/proportion to an inch? Discuss different items and if they were described true to their actual proportions. Other lesson plans From This Book,
    http://www.ksu.edu/smartbooks/Lesson013.html
    Literature Connection: poem " One Inch Tall " from the book Where the Sidewalk Ends by Shel Silverstein
    Mathematical Strand: Number
    Topic: Students will incorporate their conceptual understandings of proportions to write a creative piece similar to the example poem.
    Grade Level:
    Lesson Created by: Shelley Faerber, Susan B. Anthony Middle School, Manhattan, KS.
    Lesson Description:
    Materials:
    • copy of the poem "One Inch Tall" by Shel Silverstein
    1. Launching the lesson
  • Read the poem/show copy on overhead or provide copy to students
  • Discuss what would be encountered if we were all one inch tall in our classroom. What would be an obstacle? What would be fun to do? How would we use different items in the room?
    2. Developing the lesson

  • Brainstorm items in the room that are only one inch tall.
  • Brainstorm items in the room/world that are approximately 64 inches tall?
  • Now consider what items in the world might be 64 times taller than you?
  • Your writing assignment today is to write a poem or paragraph where you describe what the sights, sounds, and surroundings of a specific area if you were either 1-inch tall or 64 times taller. You are either extremely small or extremely tall. Make sure your descriptions are true proportionally. RECAP: You have three very important decisions: 1)Are you small or tall 2) Where are you 3) What would you use and describe the surroundings?
  • 47. InterMath | Investigations | Number Concept
    and proportion A lesson plan in which the students will use the phenomenological approach to complete the activities, calculate ratios and proportions and
    http://www.intermath-uga.gatech.edu/topics/nmcncept/ratios/r03.htm

    Search the Site
    Investigations Number Concept Recommended Investigations In Ms. Matthews' classroom, there are 12 boys and 15 girls. In Mr. Lopez's classroom, there are 8 boys and 6 girls. In Ms. Waddell's classroom, there are 4 boys and 5 girls.
    • Which two classrooms have the same boy-to-girl ratio? On one occasion Ms. Matthews' class joined Mr. Lopez's class. What was the resulting boy-to-girl ratio? On another occasion Ms. Waddell's class joined Mr. Lopez's class. What was the resulting boy-to-girl ratio? Are your answers to the two questions above equivalent? What does this tell you about adding ratios?

    Extensions
    Ms. Louvin's class has a boy-to-girl ratio of 5 to 6. At the end of the 1st, 2nd, and 3rd quarters, the class gets larger by two boys and one girl. So, by the end of the year, Ms. Louvin has 6 extra boys and 3 extra girls in her class since the beginning of the year. If the class never has more boys than girls, then what is Ms. Louvin's largest possible class size at the beginning of the year?
    Related External Resources
    Oranges project

    Students investigate the proportional relationship between the edible part of an orange and the peel or inedible part of a orange.

    48. Cleopatra
    lesson plan based on Fallen Warrior. Change the scale of a work of art using ratios, percentages, and proportions. Skills and Focus Measuring, Calculation.
    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.

    49. Cleopatra
    It s All Proportional. lesson plan based on Cycladic Figure. Objectives. • Practice measuring proportions. • Convert measurements 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.

    50. Lesson Plans
    lesson Plan Amazing Autobiographies http//www.microsoft.com/education Tour Diet, Ratio, and Proportion http//www Summary Students learn about ratios and a
    http://www.microsoft.com/Education/LessonPlans.aspx?Theme=self discovery&Switch=

    51. Lesson Plans
    This lesson provides practice in using spreadsheets to Classroom Tour Diet, Ratio, and Proportion http//www Summary Students learn about ratios and a healthy
    http://www.microsoft.com/Education/LessonPlans.aspx?Area=self regulation&Switch=

    52. State And National Resources - Indiana
    Solving Equations and Inequalities Chapter 8 — Functions and Graphing Chapter 9 — Ratio, proportions, and Percent Mathematics Connections — lesson plans.
    http://www.glencoe.com/sec/math/state/in.htm
    Indiana State Resources NCTM Standards
    Correlation to Indiana Mathematics Proficiency Statements

    NCTM Standards

    Correlation to Indiana Mathematics Proficiency Statements
    ...
    Correlation of Indiana State Objectives to Lessons

    State Home Page
    Indiana State Home Page
    State Department of Education
    Indiana Department of Education
    State Libraries
    Indiana State Library
    State Education Information
    Department of Education

    Mathematics Academic Standards
    State Testing ISTEP+ InfoCenter

    53. Ratio - Math Lesson Plan, Thematic Unit, Activity, Worksheet, Or Teaching Idea
    23 This new form will be useful when teaching the next lesson on proportions. *Teachers* Important NonIntuitive Observations Order matters in writing ratios.
    http://www.lessonplanspage.com/MathRatioReviewIdea67.htm
    Features: Special Features: Improve Reading Efficient Reading Teaching Jobs Teacher Magazines Site Information: EdScope Sites: Join Newsletter:
    Search This Site:
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    Ratio
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    Printable Version for your convenience!
    Title - Ratio
    By - Jawa Mariappan
    Primary Subject - Math
    Secondary Subjects - Math
    Grade Level - 6-7
    Learning Objective: Understand, write and use ratios. Materials Needed: None Teacher Instructions: The concept behind ratio is very simple. However, students seem to have serious difficulty, when they are in 8-9th grade, and they have to write ratios that involve variables to solve equations. Hence, special attention must be paid in 6-7th grades so that students clearly understand ratios. I suggest not even use the word ratio till they grasp the meaning behind ratio. Ask them if they know how to compare things. All of them will say, yes. Ask them questions such as: How much pizza is left, if you eat half the pizza? Normal response will be ½ Explain that when they answered the question, they actually compared amount of pizza eaten to the amount of pizza available.

    54. Spider Math Language Arts Lesson Plan, Thematic Unit, Activity, Worksheet, Or Re
    sense of numbers, including numeration and operations, patterns, ratios and proportions 8. Use will find out some more interesting facts in our math lesson.
    http://www.lessonplanspage.com/LAScienceArtCharlotteSpidersMathSpiderMathProbs45
    Features: Special Features: Improve Reading Efficient Reading Teaching Jobs Teacher Magazines Site Information: EdScope Sites: Join Newsletter:
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    Spider Math
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    Printable Version for your convenience! Title - Spider Math
    By - Jennifer Dalke
    Subject - Math
    Grade Level - 4-5 Unit contents: Subject: Math Day 3 Illinois State Goals: 6. Demonstrate and apply a knowledge and sense of numbers, including numeration and operations, patterns, ratios and proportions 8. Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results Instructional Objective: Students will solve a variety of addition, subtraction, multiplication, and division problems to find out interesting facts about spiders.

    55. Grade 7 Mathematics
    All Areas of Math, lesson plans, Definitions of math Mathematics, Ratio and Proportion, Proportion, Defines and gives examples of proportions, Teacher, Proportion.
    http://www.saskschools.ca/curr_content/elem_obj/gr7/7math.html
    Grade 7 Mathematics Subject Unit or Strand Component Description Type URL Mathematics Algebra Terms Examples and definitions of Algebra terms. Teacher Introduction to Algebra Mathematics All Areas of Math Games/Activities There are games/activities for students to do to reinforce math skills. Both FunBrain.com Mathematics All Areas of Math Lesson Plans Lesson plans that support the philosophy of the Saskatchewan math curriculum. You can search by grade level or by a strand in the curriculum. Teacher Resource Room Mathematics All Areas of Math Lesson Plans This site has a library of interactive web-based virtual manipulatives for math instruction. Both Interactive Mathematics Mathematics All Areas of Math Lesson Plans Definitions of math terms with interactive examples for students to do. Both AAA Math Seventh Grade Mathematics All Areas of Math Worksheets Reproducible math worksheets for students in all areas of math. Answer copy available. Teacher Edhelper.com Mathematics All Areas of Math Worksheets Create worksheets to use on the computer or in the classroom. Answer copies provided. Both Aplusmath.com Worksheets

    56. Summer 2000 Teacher Internship Program Lesson Plan Menu
    Additional lessons that have Saveth Soun. 69. English. Writing. How Are ratios proportions Connected To Color Blending? Integrated Subject Math. Saveth Soun.
    http://www.wccusd.k12.ca.us/stc/2000les/menu.htm
    West Contra Costa Unified School District
    School to Career
    Summer 2000 Teacher Internship Program Lesson Plan Menu
    To navigate the lesson plans use the links to jump to a subject area or scroll though.
    *Additional lessons that have been developed by A.C.C.E.S.S. Teachers in collaboration with the School to Career Department.
    SCIENCE
    SOCIAL SCIENCE
    COMPUTER SKILLS/INFORMATION TECHNOLOGY
    ENGLISH/LANGUAGE ARTS ...
    INDUSTRY AND TECHNOLOGY/ CONSTRUCTION
    COURSE SUBJECT AREA – SCIENCE GRADE Life Science Horticulture Forcing Bulbs Life Science Horticulture Fertilizer Life Science Horticulture Stem Cuttings Life Science Horticulture Transplanting Life Science Horticulture Parts of a Plant Life Science Environmental Science Recycling Garden Waste Integrated Subject: Home Economics Health Introduction to Nutrition Integrated Subject: Social Science, Math Mary Luersen Health A Health Diet Integrated Subject: Social Science, Math Mary Luersen Life Science Experiences in the Garden:
    Planning a School Garden Integrated Subject: Social Science, Math, Home Economics Mary Luersen Back to Top COURSE SUBJECT AREA – SCIENCE GRADE Health Pulmonary Disease (Emphasis on Asthma) Integrated Subject:Careers; Human Services

    57. Ratios And Proportions
    You may have to refer to your notes from the lesson on measurements. 2. Find these ratios. 4. How can proportions be used to solve math problems?
    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:

    58. ISM Geology Online - Lesson Plan Index
    Lessons sorted by learning standards 12.5 Three Dimensional Geology. Benchmark 6.D.3 Apply ratios and proportions to solve practical problems.
    http://geologyonline.museum.state.il.us/tools/lessons/bystandard.html
    Lesson Plans
    ( sort by: grade level topic learning standards Lessons sorted by learning standards: Benchmark 3.B.1a: Use prewriting strategies to generate and organize ideas (e.g., focus on one topic; organize writing to include a beginning, middle and end; use descriptive words when writing about people, places, things, events). Benchmark 3.B.3a: Produce documents that convey a clear understanding and interpretation of ideas and information and display focus, organization, elaboration and coherence. Benchmark 3.B.3b: Edit and revise for word choice, organization, consistent point of view and transitions among paragraphs using contemporary technology and formats suitable for submission and/or publication. Benchmark 3.C.1a: Write for a variety of purposes including description, information,
    explanation, persuasion and narration.

    59. MarcoPolo Discovers Mississippi > Mathematics Framework (Eighth) > Competency 4
    b. Convert among ratios, decimals, and percents. c. Solve proportions. Key. GRITS lesson plan. MarcoPolo lesson plan. Teacher Exchange lesson plan.
    http://marcopolo.mde.k12.ms.us/frameworks/mathematics/ma_08_c04.html
    Mathematics Framework (Eighth) Competency 4
    Apply the concepts of ratio, proportion, and percent to solve real-life problems. (P, D, M, G, N)
    a. Write ratios comparing given data. Analyzing Numeric and Geometric Patterns of Paper Pool
    Counting Embedded Figures, Grades 6-8

    Counting Embedded Figures, Grades 9-12

    Five's a Crowd: A Game of Population Density
    ...
    Using Algebra and Discrete Mathematics to Investigate Population Changes in a Trout Pond

    b. Convert among ratios, decimals, and percents. Counting Embedded Figures, Grades 6-8
    Counting Embedded Figures, Grades 9-12

    The Economics of Homebuying

    Having Fun with Baseball Statistics
    ...
    What's in a Graph?
    c. Solve proportions. Counting Embedded Figures, Grades 6-8 Counting Embedded Figures, Grades 9-12 Do You Have a Yen to Go to College? Mad Cattlemen Sue Oprah ... Radioactive Decay: A Sweet Simulation of Half-Life d. Solve for part, rate, or base.

    60. MarcoPolo Discovers Mississippi > Mathematics Framework (Seventh) > Competency 8
    Explore equivalent ratios and express them in simplest form Use proportions and equations to solve problems with rate, base, and part with and GRITS lesson plan.
    http://marcopolo.mde.k12.ms.us/frameworks/mathematics/ma_07_c08.html
    Mathematics Framework (Seventh) Competency 8
    Survey and apply concepts of ratio, proportion, and percent. (P, D, M, G, N)
    a. Explore equivalent ratios and express them in simplest form. Counting Embedded Figures, Grades 6-8
    Counting Embedded Figures, Grades 9-12

    Five's a Crowd: A Game of Population Density

    The Next Billion
    ...
    Shedding Light on the Subject: Function Models of Light Decay

    b. Solve problems involving proportions. Counting Embedded Figures, Grades 6-8
    Counting Embedded Figures, Grades 9-12

    Do You Have a Yen to Go to College?

    Mad Cattlemen Sue Oprah
    ...
    Radioactive Decay: A Sweet Simulation of Half-Life
    c. Determine unit rates. Do You Have a Yen to Go to College? Mad Cattlemen Sue Oprah d. Use models to illustrate the meaning of percent. Mad Cattlemen Sue Oprah Shedding Light on the Subject: Function Models of Light Decay e.

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