GED® Math Foundations: Ratios, Proportions & Scale Factors Mastery
A focused GED® Mathematical Reasoning course on ratios, equivalent ratios, proportions, ratio tables, part-to-part and part-to-whole reasoning, scale drawings, map scales, similar figures, direct variation, percent proportions, and multi-step proportional word problems. The course strengthens one of the most common GED® quantitative reasoning patterns.
📚 Course Curriculum
A ratio compares quantities. The comparison can be part-to-part or part-to-whole, and the difference matters. If a class has 12 students studying math and 8 …
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Equivalent ratios name the same comparison. You create an equivalent ratio by multiplying or dividing both parts by the same nonzero number:. Ratio tables organize …
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A proportion is an equation that says two ratios are equivalent:. This can model recipes, maps, similar shapes, scale drawings, and percent problems. [[figure:proportion_cross_products Cross …
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A unit rate is a ratio with 1 in the denominator. It tells how much for one unit:. [[figure:rate_double_number_line A double number line shows two …
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In part-whole ratio problems, the ratio parts add to the total number of equal parts. Example: Blue and green tiles are in the ratio \(3:2\). …
Open trial session →A scale drawing represents a real object at a smaller or larger size. A map is a scale drawing of distance. [[figure:map_scale_distance A map scale …
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Similar figures have the same shape but not necessarily the same size. Corresponding angles are equal, and corresponding side lengths are proportional. [[figure:similar_rectangles_scale Every corresponding …
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Lengths, areas, and volumes scale differently. If the length scale factor is \(k\), then:. corresponding lengths multiply by \(k\). areas multiply by \(k^2\). volumes multiply …
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A direct variation relationship has the form:. The number \(k\) is the constant of proportionality. It is also the unit rate:. Example: A car travels …
Open trial session →Percent means "per hundred," so many percent problems are proportions:. Example: What is 30% of 80?. Cross-multiply:. Percent increase and decrease also use part-whole thinking. …
Open trial session →GED® proportional reasoning often appears in multi-step word problems. The challenge is deciding which relationship is proportional and which extra step is needed. Example: A …
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Ratios and proportions can be solved in several valid ways. Choose the strategy that makes the structure clearest. Useful strategies:. Simplify ratios when comparing. Use …
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Course Syllabus
Course Outcomes
📝 Practice Questions
52 interactive questions with instant feedback and explanations.
Enroll for free to unlock the full practice bank after the trial sessions.