Ratios & Proportional Relationships
MAFS.6.RP.1.1 - 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 birdhouse 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.”
MAFS.6.RP.1.2 - Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. For example, “This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar.” “We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger.”
MAFS.6.RP.1.3 - 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.
a. Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
b. Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?
c. Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
d. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
e. Understand the concept of Pi as the ratio of the circumference of a circle to its diameter.
Objective: I understand the concept of the ratio and use appropriate vocabulary to describe the relationship between two quantities.
Overview Video - with vocabulary and an example.
Application Video - Why are ratios important to understand?
Activity 1 PDF - Use your understanding to make sense of these practice problems. Explanation and answers included.
Activity 2 PDF - Use your understanding to make sense of these practice problems. Explanation and answers included.
Objective - I understand the concept of a unit rate, and can describe a unit rate using appropriate vocabulary.
In-Depth Video - Check this video out to see a few examples of unit rate.
Application Video - See unit rate being used in a real-life situation.
Application Question - Try to answer this question to demonstrate mastery.
Objective: I can use ratio and rate reasoning to solve real-world problems.
Real World Tutorial - Click here to work through a tutorial that outlines problems that could be answered under this standards.
Percent of a whole number video - Watch for a refresher on percentages.
Sales Tax - Determine the sales tax by creating a table. Solutions available.
Discounted Prices - Find out how much the shirt was originally given the discounted price.
Mixing Concrete - Work to find out how much concrete is needed to make