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Reference - Ratios, Proportions, Unit Rate, Scale Drawings, Similar Figures

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746 KB|10 pages
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These reference pages cover ratios, proportions, equations, graphs, tables, unit rate, unit analysis, scale drawings, scale factor, and similar figures. I recommend letting students keep the reference sheets in front of them while they work. That way you can refer them to the relevant section if they forget something rather than having to reteach it.


1. Explains what ratios are using the example of marbles in a bag.
2. Explains how ratios can affect taste (ingredients in a soup) and appearance (height to width ratio of a t.v. set).

Proportional Relationships

1. Explains proportional relationships by comparing them with analogies.
2. Shows how to set up equivalent fractions to represent a proportional relationship.
3. Explains that a consequence of two quantities being in a proportional relationship is that if one gets multiplied by a certain number then the other gets multiplied by the same number.
4. Gives an example of using an equation, graph, and table to show a proportional relationship.

How to Tell if a Graph, Table, or Equation Represents a Proportional Relationship

1. Explains how to tell if a graph, table, or equation represents a proportional relationship.

Unit Rate

1. Explains that a unit rate is a ratio for which there is 1 of one of the quantities.
2. Explains how to decode a unit rate word problem to decide what unit rate it is asking for.
3. Explains how to calculate a unit rate.
4. Explains that to find a unit rate we always use division but once we know what the unit rate is we might use another operation.

Unit Analysis

1. Explains how to consider the units in a problem to decide if multiplication or division would be warranted to answer it.
2. Shows how the same units in the numerator and denominator cancel when multiplying just like the numbers in a fraction expression.

Finding the Unit Rate / Constant of Proportionality from Graphs, Equations, and Tables

1. Graphs - Explains how to divide coordinates to find the unit rate or to find the y-coordinate that corresponds to 1 on the x-axis.
2. Explains that the unit rate in an equation is next to the variable.
3. Explains to use division to find the unit rate between two quantities in a table and warns to be careful and pay attention to what you divided by what.

Converting between Tables, Graphs, and Equations (for Proportional Relationships)

1. Explains how to convert between tables, graphs, and equations. Contains every combination.

Scale Drawings

1. Explains how to answer problems regarding scale drawings using either multiplication or proportional reasoning.
2. Explains how to find the unit scale.

Scale Factor

1. Explains what the scale factor is and how to find it.

Scale Figures

1. Explains how to set up a proportion to find the missing side length given two proportional figures.

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