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Ratio and Proportional Relationships

Standards Covered
  1. ​​​EE.7.RP.1–3. Use a ratio to model or describe a relationship.
M.EE.7.RP.1-3 - Use a ratio to model or describe a relationship.

Learning Goal:
• Level 2-3 – I will model and write a ratio to describe a relationship.
• Level 1 – I will match objects that represent a relationship.

Essential Questions:
• What does this ratio tell me?
• How can I model this relationship?
• How do you write a ratio that describes part-to-part or part-to-whole.

Vocabulary:
• Ratio - a way to show a relationship or compare two numbers of the same kind.
• Part-to-part - a ratio that compares a selected number of parts to a number of other parts in a whole.
• Part-to-whole - a ratio that compares a selected number of parts to the total number of parts in a whole.
• To – what is said when we state 5:8 as 5 “to” 8.
• Out of – what is said when we state 5/8 as a fraction to mean that 5 “out of” 8.
​• Comparison - relations among two numbers or quantities. 
​A ratio is a comparison of two numbers or quantities.
  • Ratios that are written as part-to-whole are comparing a specific part to the whole. 
  • Fractions and percents are examples of part-to-whole ratios.
  • Fractions are written as the part being identified compared to the whole amount. 
  • A percent is the part identified compared to the whole (100).
  • Rates, a relationship between two units of measure, can be written as ratios, such as miles per hour, ounces per gallon and students per bus.
  • Early learning of fractions is a part of understanding ratios.
  • Fractions show a part of the whole.
  • While we identify a ¼ measuring cup as a tool, this also represents that ¼ is 1 part of a whole that has 4 parts, or the 1-cup measurement tool.
  • This concept of fractions can be applied to learning about a ratio.
  • Teaching ratio, percent and rates should be applied to real-world situations and scenarios.
  • A percent is a ratio that compares a number to 100. 10 percent (10%) means that there are 10 parts out of the whole of 100.
  • As this is calculated in a ratio, 10% may also be represented as 1 part of the whole of 10.
  • These concepts of ratio and percent can be presented in real-world problem-solving scenarios. 
Picture
Picture
Pin on Anchor Charts {Upper Elementary} (pinterest.com)
Worksheets
ratio-three-ways.pdf (tutoringhour.com)
Ratio Worksheets (mathworksheets4kids.com)
Ratio Worksheets (superteacherworksheets.com)
Ratio, an interactive worksheet by lbenitez
liveworksheets.com
Ratio Worksheets (tutoringhour.com)
Ratio Worksheets (mathworksheets4kids.com)
Ratio Worksheets (mathworksheets4kids.com)
Ratio proportion, an interactive worksheet by Tanveer_Fatima
liveworksheets.com
PowerPoint Presentation (weebly.com)
Mathematics 6 - 2nd Periodical Exam, an interactive worksheet by davidjohnjavier
liveworksheets.com
Online Games
Picture
Ratio Coloring Game
Math Playground
Ratio Game
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  • Home
    • Parent Page
    • Disability Information
  • #1 Reading/LA
    • RLA Pacing Guide
    • #1 Reading Class >
      • Reading Informational
      • Reading Literature
      • Sight Words
    • #2 Language Arts >
      • Language Arts
      • Writing
      • Spelling
      • 4th Grade Great Depression Unit
  • #2 Math
    • Math Pacing Guide
    • CCSS Middle School Standards
    • #1 Ratio & Proportions >
      • 1.a Ratios
    • #2 The Number Systems Standards >
      • #2.a Fraction Unit
      • #2.b Multiplication
      • #2.c Division
      • #2.d Decimals
      • #2.e Positive/Negative Numbers
    • #3 Expressions & Equations >
      • #3.a Algebraic Expressions
      • #3.b Equations
      • #3.c Data
    • #4 Geometry >
      • Area
      • Volume
    • #5 Statistics & Probability
    • #6 Functions
    • Calendar Skills
  • #3 Science
    • #1 Structure and Properties of Matter
    • #2 Forces and Motion
    • #3 Conservation of Energy and Energy Transfer
    • #4 Wave Properties
    • #5 Structure and Function
    • #6 Growth and Development of Organisms
    • #7 Interdependent Relationships in Ecosystems
    • #8 Variation of Traits
    • #9 Earth and the Solar System
    • #10 Earth's Materials and Systems
    • #11 Earth and Human Activity
    • Camouflage Unit
  • #4 Social Studies
    • #1 Directions
    • #2 Personal Information
    • #3 Weather
    • #4 System Warnings >
      • Fire Safety
      • Tornado Safety
      • Community Signs
    • Inquiry Practices and Process
    • Behavioral Science
    • Economics
    • Geography
    • History
    • Political Science
    • Great Depression Unit
  • College & Career Ready
  • Resources
    • Aligning IEP Guide
    • Bullying
    • Iris Center
    • LEARNING FOR ALL
    • LITERACY FOR ALL
    • NUMERACY FOR ALL
    • Prezi Presentations
    • Social Studies Resources
    • Technology
    • ULS Guide