Curriculum / Math / 6th Grade / Unit 1: Understanding and Representing Ratios / Lesson 2
Math
Unit 1
6th Grade
Lesson 2 of 18
Jump To
Represent ratios using discrete drawings. Understand that the order of numbers in a ratio matters.
The core standards covered in this lesson
6.RP.A.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 bird house 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."
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.
Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
In a recipe for oatmeal raisin cookies, the ratio of teaspoons of cinnamon to cups of raisins is 4:8.
Draw a diagram to represent the quantities, and write two other ratio statements for the situation.
Maria is mixing lemon juice with water to make lemonade, but she can’t remember the ratio of the two ingredients. She writes down four ratios:
Draw a diagram to represent each ratio. If Maria used the ratios described, which lemonades would taste the same? Which ones would taste differently? Which ratio(s) should she use to make her lemonade?
Students in art class are drawing flowers and making connections to ratios they are learning about in math class.
Terry describes his flower and says, “The ratio of petals to leaves to stems is 2:6:1.”
Draw a picture of what Terry’s flower could look like based on the ratio he described. Does Terry’s ratio seem accurate? If not, then describe any changes Terry might make.
A set of suggested resources or problem types that teachers can turn into a problem set
Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
A recipe calls for 2 cups of tomato sauce and 3 tablespoons of oil. We can say that the ratio of cups of tomato sauce to tablespoons of oil in the recipe is 2:3, or we can say the ratio of tablespoons of oil to cups of tomato sauce is 3:2.
For each of the following situations, draw a picture and name two ratios that represent the situation.
a. To make papier-mâché paste, mix 2 parts of water with 1 part of flour.
b. A farm is selling 3 pounds of peaches for $5.
c. A person walks 6 miles in 2 hours.
Representing a Context with a Ratio, accessed on July 18, 2017, 2:59 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
Lesson 1
Lesson 3
Topic A: Understanding & Describing Ratios
Define ratio and use ratio language to describe associations between two or more quantities.
6.RP.A.1
Create a free account to access thousands of lesson plans.
Already have an account? Sign In
Topic B: Equivalent Ratios
Define and find equivalent ratios.
Reason with equivalent ratios and determine if two ratios are equivalent.
Represent ratios using double number lines and identify equivalent ratios.
6.RP.A.3
Solve ratio problems using strategies including double number lines.
Find equivalent ratios using ratios with “per 1” unit.
6.RP.A.3 6.RP.A.3.B
Compare situations using equivalent ratios and double number lines.
Use ratio reasoning to solve a three-act task.
Topic C: Representing Ratios in Tables
Represent ratios in tables.
6.RP.A.3 6.RP.A.3.A
Understand the structure of tables of equivalent ratios. Solve ratio problems using tables.
Solve ratio problems using tables, including those involving total amounts.
Compare ratios using tables.
6.RP.A.3.A
Solve ratio problems using different strategies.
6.RP.A.1 6.RP.A.3 6.RP.A.3.A
Topic D: Solving Part:Part:Whole Ratio Problems
Solve part:part ratio problems using tape diagrams.
6.RP.A.1 6.RP.A.3
Solve part:whole ratio problems using tape diagrams.
Solve more complex ratio problems using tape diagrams.
Solve ratio problems using a variety of strategies, including reasoning about diagrams, double number lines, tables, and tape diagrams. Summarize strategies for solving ratio problems.
See all of the features of Fishtank in action and begin the conversation about adoption.
Learn more about Fishtank Learning School Adoption.
Yes
No
Access rigorous, relevant, and adaptable math lesson plans for free