Topics
          
          
            - 
                            Ratios
            
 - 
                            Proportional Reasoning
            
 - 
                            Unit Rate
            
 
          
        
        
          Description
        
        Play with ratios and proportions by designing a necklace, throwing paint balloons, playing billiards, or shopping for apples! Make predictions about proportions before they are revealed.
        
          
            Sample Learning Goals
          
          
            - Use a ratio as a descriptive characteristic 
 - Compare the meaning of a ratio in different contexts 
 - Use scaling to build proportions or find a missing value in a proportion
 - Simplify ratios to build proportions or find a missing value in a proportion
 - Use multiplicative reasoning to solve problems
 
          
        
        
          
            Standards Alignment
          
          
            Common Core - Math
          
          
            
              5.NF.B.4a
              Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.)
            
              6.RP.A.1
              Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, "The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak." "For every vote candidate A received, candidate C received nearly three votes."
            
              6.RP.A.3
              Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
            
              7.RP.A.2a
              Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
            
           
        
        Version 1.0.15
       
      
        
          
        
        HTML5 sims can run on iPads and Chromebooks, as well as PC, Mac, and Linux systems.
 iPad:
 iOS 12+ Safari
iPad compatible sims
 Android:
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 Chromebook:
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Chromebook compatible sims
 Windows Systems:
 Microsoft Edge, latest version of Firefox, latest version of Google Chrome.
 Macintosh Systems:
macOS 10.9.5+, Safari 9+, latest version of Chrome.
 Linux Systems:
 Not officially supported. Please contact phethelp@colorado.edu with troubleshooting issues.