One of These Things Is Not Like the Others: IM 7.2.1
[url=https://im.kendallhunt.com/MS/teachers/2/2/1/preparation.html]“One of These Things Is Not Like the Others”[/url] from IM Grade 7 by [url=https://www.geogebra.org/m/gus8ffvr]Open Up Resources[/url] and Illustrative Mathematics. Licensed under the [url=https://creativecommons.org/licenses/by/4.0/]Creative Commons Attribution 4.0 license[/url].
Table of Contents
- Lesson 7.2.1
- IM 7.2.1 Lesson: One of These Things Is Not Like the Others
- Practice 7.2.1
- IM 7.2.1 Practice: One of These Things Is Not Like the Others
IM 7.2.1 Lesson: One of These Things Is Not Like the Others
Complete the double number line diagram with the missing numbers.
What could each of the number lines represent? Invent a situation and label the diagram. Make sure your labels include appropriate units of measure.
Your teacher will show you three mixtures. Two look the same, and one is different.
Which mixture looks different? Describe how it is different.
Here are the recipes that were used to make three mixtures. Two look the same, and one is different. [br][list][*]1 cup of water with [math]1\frac{1}{2}[/math] teaspoons of powdered drink mix[/*] [*]2 cups of water with [math]\frac{1}{2}[/math] teaspoon of powdered drink mix[/*] [*]1 cup of water with [math]\frac{1}{4}[/math] teaspoon of powdered drink mix[/*][/list][br]Which of these recipes is for the stronger tasting mixture? Explain how you know.
Salt and sugar give two distinctly different tastes, one salty and the other sweet. In a mixture of salt and sugar, it is possible for the mixture to be salty, sweet or both. Will any of these mixtures taste exactly the same?[br][br][list][*]Mixture A: 2 cups water, 4 teaspoons salt, 0.25 cup sugar[br][br][/*][*]Mixture B: 1.5 cups water, 3 teaspoons salt, 0.2 cup sugar[br][br][/*][*]Mixture C: 1 cup water, 2 teaspoons salt, 0.125 cup sugar[/*][/list]
Here are four different crescent moon shapes. Look at the applet to answer the questions below.
What do Moons A, B, and C all have in common that Moon D doesn’t?[br]
Use numbers to describe how Moons A, B, and C are different from Moon D.[br]
Use the table or a double number line (applet below) to show how Moons A, B, and C are different from Moon D.
Can you make one moon cover another by changing its size?
What does that tell you about its dimensions?
IM 7.2.1 Practice: One of These Things Is Not Like the Others
Which one of these shapes is not like the others? Show what makes it different.
You can also explain what makes it different by representing each width and height pair with a ratio.
In one version of a trail mix, there are 3 cups of peanuts mixed with 2 cups of raisins. In another version of trail mix, there are 4.5 cups of peanuts mixed with 3 cups of raisins. Are the ratios equivalent for the two mixes? Explain your reasoning.
For this object, choose an appropriate scale for a drawing that fits on a regular sheet of paper:[br]A person
For this object, choose an appropriate scale for a drawing that fits on a regular sheet of paper:[br]A football field (120 yards by 53[math]\frac{1}{3}[/math] yards)
For this object, choose an appropriate scale for a drawing that fits on a regular sheet of paper:[br]The state of Washington (about 240 miles by 360 miles)
For this object, choose an appropriate scale for a drawing that fits on a regular sheet of paper:[br]The floor plan of a house
For this object, choose an appropriate scale for a drawing that fits on a regular sheet of paper:[br]A rectangular farm (6 miles by 2 mile)
Which scale is equivalent to 1 cm to 1 km?
Find 3 different ratios that are equivalent to [math]7:3[/math].[br]
Explain why these ratios are equivalent.