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. In this lesson, they start to make connections between the graph and the context modeled by the proportional lesson 11 represent proportional relationships, and between the graph and the equation for the proportional relationship. Given a graph, they think about what situation it might represent and learn the importance of being precise about saying which quantities are represented on each axis MP6.

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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A — Decide whether two quantities are in a proportional relationship, e.

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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.

Lesson 11 represent proportional relationships

Tyler was at the amusement park. He walked at a steady pace from the ticket booth to the bumper cars. The point on the graph shows his arrival at the bumper cars. What do the coordinates of the point tell us about the situation? Point at 40 comma If Tyler wanted to get to the bumper cars in half the time, how would the graph representing his walk change? How would the table change? What about the constant of proportionality? Assume this information describes a proportional relationship.

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A — Decide whether two quantities are in a proportional relationship, e. A set of suggested resources or problem types that teachers can turn into a problem set. Student Response. Topic C: Connecting Everything Together. Unlock Lesson Plans. Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding. It took Jeffrey 6 hours to run the same route as his brother. Represent proportional relationships in tables, and define the constant of proportionality. Contact Information. Learning Targets. Topic B: Non-Proportional Relationships. A proportional relationship is shown in the graph below.

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Anchor Problems. 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. See All Lessons. CCSS Standards. Solve multi-step ratio and rate problems using proportional reasoning, including fractional price increase and decrease, commissions, and fees. Solve ratio and rate problems using double number lines, tables, and unit rate. Additional Resources. The road race is a marathon and is Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress. A — Decide whether two quantities are in a proportional relationship, e. C — Represent proportional relationships by equations. Learning Targets. Proportional Relationships Lesson Write an equation for the relationship.