Math Foundations
Proportional Reasoning
Ratios in paint mixes and recipes, equivalent ratios and scale factors, unit rates and best buys, and proportional relationships read from tables, graphs and equations.
THE SYLLABUS
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Setting Up Ratios
A ratio tells how much of each part is in a mix: with the same water, more ink makes a darker wash, and with the same ink, more water makes a lighter one.
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Scaling Up
A larger batch keeps its shade when both parts are multiplied by the same number: 5 jars of dye to 1 bucket of water dyes the same red as 15 jars to 3 buckets.
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Scaling Down
A smaller batch keeps its shade when both parts are divided by the same number: 4 scoops of matcha to 12 cups of milk is the same green as 1 scoop to 3 cups.
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Making a New Mixture
Multiplying or dividing both parts of a ratio by the same number makes an equivalent ratio, a new mixture of the same shade: 1 : 3 and 3 : 9 freeze to the same lime green.
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Level Check
Fifteen questions on Level 1: darker and lighter shades, the same shade scaled up and down, an equivalent ratio, and five look-back questions on equivalent fractions.
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