Lesson 11 represent proportional relationships

In the previous lesson students learned that the graph of a proportional relationship lies on a line through the origin.

A — Decide whether two quantities are in a proportional relationship, e. B — Identify the constant of proportionality unit rate in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. C — Represent proportional relationships by equations. D — Explain what a point x, y on the graph of a proportional relationship means in terms of the situation, with special attention to the points 0, 0 and 1, r where r is the unit rate. The essential concepts students need to demonstrate or understand to achieve the lesson objective. The Problem Set Guidance describes a possible activity to help students make connections between the representations.

Lesson 11 represent proportional relationships

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Then have students swap their work with other students who add a new representation to the one already provided. ELA Kinder. Find the unit rate and use it to solve problems.

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A — Decide whether two quantities are in a proportional relationship, e. B — Identify the constant of proportionality unit rate in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. C — Represent proportional relationships by equations. D — Explain what a point x, y on the graph of a proportional relationship means in terms of the situation, with special attention to the points 0, 0 and 1, r where r is the unit rate. The essential concepts students need to demonstrate or understand to achieve the lesson objective. The Problem Set Guidance describes a possible activity to help students make connections between the representations. This is a good opportunity for students to showcase their collective work and look at the work of others, via posters, a gallery walk, or in small groups. Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding. Write an equation for the relationship.

Lesson 11 represent proportional relationships

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Search for courses, skills, and videos. Identifying proportional relationships. About About this video Transcript. To know if a relationship is proportional, you should look at the ratios between the two variables. If the ratio is always the same, the relationship is proportional. If the ratio changes, the relationship is not proportional. Want to join the conversation? Log in.

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Math 3rd. Interpret orally and in writing points on the graph of a proportional relationship. Problem 2. Make connections between the four representations of proportional relationships Part 1. Jonathan and his brother Jeffrey went on a long run to prepare for an upcoming road race. A set of suggested resources or problem types that teachers can turn into a problem set. Alg 1. Problem 1. Represent the relationship between red pepper flakes, in teaspoons, to tomato mix, in cups, in two different ways table, graph, or equation. Target Task. Student Response. Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress. Tips for Teachers.

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Write an equation for the relationship. Create a free account or sign in to view Student Response. Problem Set. The Problem Set Guidance describes a possible activity to help students make connections between the representations. Patrice makes a spicy salsa by adding red pepper flakes to a chunky tomato mix in proportional amounts. Then have students swap their work with other students who add a new representation to the one already provided. Anchor Problems. Jonathan and his brother Jeffrey went on a long run to prepare for an upcoming road race. Use proportional reasoning to solve real-world, multi-step problems. Fishtank Plus Content. An example response to the Target Task at the level of detail expected of the students. Print Formatted Materials. A proportional relationship is shown in the graph below.