Constructing a Ratio Diagram.
What could each of the number lines represent? Invent a situation and label the diagram. Make sure your labels include appropriate units of measure.
Here are four different crescent moon shapes.
(1.) What do Moons A, B, and C all have in common that Moon D doesn’t?
(2.) Use numbers to describe how Moons A, B, and C are different from Moon D.
(3.) Use the table or a double number line (applet below) to show how Moons A, B, and C are different from Moon D.
Change the Size of an Object.
Can you make one moon in the applet below cover another by changing its size?
What does that tell you about its dimensions?
Which one of the shapes above is not like the others? Show what makes it different.
(1.) Here are the recipes that were used to make three mixtures. Two look the same, and one is different.
Which of these recipes is for the stronger tasting mixture? Explain how you know.
(2.) 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?
For this object, choose an appropriate scale for a drawing that fits on a regular sheet of paper:
Find 3 different ratios that are equivalent to 7 : 3.
Explain why these ratios are equivalent.