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Laabri

OAT Lesson 18: Two-Related Quantities (I)

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Last updated almost 3 years ago
16 Nsɛmmisa

Develop Understanding

Today's Learning Goal: (G6, U6, L16)

  • Compare and contrast (orally) graphs and equations that represent a relationship between the same quantities but have the independent and dependent variables switched.

  • Comprehend the terms “independent variable” and “dependent variable” (in spoken and written language).

  • Create a table, graph, and equation to represent the relationship between quantities in a set of equivalent ratios

Today's Materials:

  • Laptop

  • Laptop charger

  • Pen/Pencil/Paper/Expo Marker (optional)

Please complete the Jump Start (activator). You have 5 minutes before we review. This is independent it should be silent.

Reminders:

1. Ready for class

2. No cellphones

3. Volume must be low.

4. Read and follow all directions

5.) Take your bag off and immediately begin the Activator.

JUMP START: Which One Would You Choose? - (5min)

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Which one would you choose? Be prepared to explain your reasoning.

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Activity 1: Paint Set (25 min)

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Lesson Synthesis: - (5 min)

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We wrote two equations to represent the relationship between cups of red paint and cups of yellow paint. How were these the same and how were they different?

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Cool Down: - (5 min)

A brownie recipe calls for 1 cup of sugar and 1/2 cup of flour to make one batch of brownies. To make multiple batches, the equation

where f is the number of cups of flour and s is the number of cups of sugar represents the relationship.

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Which graph also represents the relationship? Explain how you know.

Closure Questions:

What is an independent variable?

What is an dependent variable?

What is a function?

Launch: Practice Problems - (10 min)

I do (question

We do (question

You do (question)

Here is a graph that shows some values for the number of cups of sugar, "s", required to make "x" batches of brownies.

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2.

Complete the table so that the pair of numbers in each column represents the coordinates of a point on the graph.

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3.

What does the point (8,4) mean in terms of the amount of sugar and number of batches of brownies?

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4.

Write an equation that shows the amount of sugar in terms of the number of batches.

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5.

Kiran shops for books during a 20% off sale.

What percent of the original price of a book does Kiran pay during the sale?

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6.

Complete the table to show how much Kiran pays for books during the sale.

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7.

Write an equation that relates the sale price, s, to the original price p.

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8.

On graph paper, create a graph showing the relationship between the sale price and the original price by plotting the points from the table.

Lin needs to mix a specific shade of orange paint for the set of the school play. The color uses 3 parts yellow for every 2 parts red.

Complete the table to show different combinations of red and yellow paint that will make the shade of orange Lin needs.

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10.

Lin notices that the number of cups of red paint is always 2/5 of the total number of cups. She writes the equation:

to describe the relationship. Which is the independent variable? Which is the dependent variable? Explain how you know.

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11.

Write an equation that describes the relationship between r and y where y is the independent variable.

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12.

Write an equation that describes the relationship between y and r where r is the independent variable.

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13.

Use the points in the table to create two graphs that show the relationship between r and y.