Introducing Proportional Relationships

What could each of the number lines represent? Invent a situation and label the diagram. What are the values of B and C?

What could each of the number lines represent? Invent a situation and label the diagram. What are the values of D and E?

What could each of the number lines represent? Invent a situation and label the diagram. What are the values of F and G?

Here are the recipes that were used to make three mixtures. Two look the same, and one is different.

1 cup of water with 1 ½  teaspoons of powdered drink mix

2 cups of water with ½ teaspoon of powdered drink mix

1 cup of water with ¼ teaspoon of powdered drink mix

Which of these recipes is for the stronger tasting mixture?

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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, if so which ones?

• Mixture A: 2 cups water, 4 teaspoons salt, 0.25 cup sugar

• Mixture B: 1.5 cups water, 3 teaspoons salt, 0.2 cup sugar

• Mixture C: 1 cup water, 2 teaspoons salt, 0.125 cup sugar

If drawing a person, choose an appropriate scale for a drawing that fits on a regular sheet of paper.

• 1 in : 1 ft

• 1 cm : 1 m

• 1: 1000

• 1 ft: 1 mile

For a football field, choose an appropriate scale for a drawing that fits on a regular sheet of paper: (120 yards by 53 yards)

• 1 in : 1 ft

• 1 cm : 1 m

• 1: 1000

• 1 ft: 1 mile

For the state of Washington, choose an appropriate scale for a drawing that fits on a regular sheet of paper: (about 240 miles by 360 miles)

• 1 ft: 1 mile

• 1: 100,000

• 1 mm: 1 km

• 1: 10,000,000

For the floor plan of a house, choose an appropriate scale for a drawing that fits on a regular sheet of paper.

• 1 in : 1 ft

• 1 cm : 1 m

• 1: 1000

• 1 ft: 1 mile

For a rectangular farm, choose an appropriate scale for a drawing that fits on a regular sheet of paper: (6 miles by 2 mile)

• 1 ft: 1 mile

• 1: 100,000

• 1 mm: 1 km

• 1: 10,000,000