๐ Ratios compare two quantities and can be expressed in three different ways: with a colon, as a fraction, or with the word 'to.'

โ๏ธ A ratio can represent a part-to-part relationship, such as the ratio of circles to triangles.

๐ข In this video, we will learn how to use rational numbers and mathematical operations to complete ratio tables, simplify complex ratios, and find unit rates.

๐ Ratios represent a part to whole relationship, with examples using circles and triangles.

๐ Ratios can be converted into rates by comparing two quantities with different units, such as cost and quantity of cupcakes.

๐ง Unit rates compare the cost per unit, such as dollars per cupcake.

๐ Rates, unit rates, and ratios are all types of ratios that can be used to calculate values.

๐งฎ To calculate a unit rate, divide two quantities and express the result as a simplified fraction or decimal.

โ A complex fraction is a rate that has a fraction in either the numerator or the denominator, and it can be simplified by multiplying by the reciprocal.

โญ Unit rate is found by comparing two quantities in different units and expressing the rate in terms of one unit.

๐ข To find the unit rate, convert any mixed numbers or fractions to improper fractions and then multiply by the reciprocal of the second quantity.

๐ Equivalent ratios can be found by simplifying fractions and using ratio tables to extend and organize the ratios.

๐งโ๐ The video discusses ratios, rates, and unit rates in the context of a classroom.

๐ A ratio table is used to determine the number of boys and girls in the class based on the given ratio.

๐งฎ Using equivalent ratios, the number of boys and girls can be calculated by multiplying the given ratios by a constant factor.

๐ The video discusses ratios, rates, and unit rates in a math class.

๐งฎ Students are asked to complete a ratio table and find equivalent ratios.

๐ฅ The example given involves the ratio of milk to chocolate syrup for making chocolate milk.

๐ The video explains ratios and provides examples of equivalent ratios.

๐ง Some examples of equivalent ratios include 1/2 cup of milk to 2 tablespoons of chocolate syrup and 1 cup of milk to 4 tablespoons of chocolate syrup.

๐ฅ The lesson on ratios is part of a series at the Magic of Math.