OPTION 1: Introducing ratios and ratio language

Lesson goals:

• I can write or say a sentence that describes a ratio.
• I know how to say words and numbers in the correct to accurately describe the ratio.

Warm-up: What kind and how many?

Activity: Dice collection

1. Sort the dice collection into three categories. You can experiment with different ways of arranging these categories. Then, count the items in each category, and record the information in a table.

   	Category 1	Category 2	Category 3
   Category name
   Category amount

2. Write at least two sentences that describe ratios in the collection.

• The ratio of one category to another category is $\mathrm{\_}\mathrm{\_}$‍ to $\mathrm{\_}\mathrm{\_}$‍.
• The ratio of one category to another category is $\mathrm{\_}\mathrm{\_}:\mathrm{\_}\mathrm{\_}$‍.
• There are $\mathrm{\_}\mathrm{\_}$‍ of one category for every $\mathrm{\_}\mathrm{\_}$‍ of another category.

3. Make a visual display of your items that clearly shows one of your statements.

Activity: Your own collection

1. Sort your collection into three categories. You can experiment with different ways of arranging these categories. Then, count the items in each category, and record the information in a table.

   	Category 1	Category 2	Category 3
   Category name
   Category amount

2. Write at least two sentences that describe ratios in the collection.
   Remember, there are many ways to write a ratio.

3. Make a visual display of your items that clearly shows one of your statements.

Are you ready for more?

1. Use two colors to shade the rectangle so there are $2$‍ square units of one color for every $1$‍ square unit of the other color.
2. The rectangle you just colored has an area of $24$‍ square units. Draw a difference shape that does not have an area of $24$‍ square units, but that can also be shaded with two colors in $2:1$‍ ratio. Shade your new shape using two colors.

Cool-down: A collection of animals

Lesson summary

• The ratio of squares to circles is $6:3$‍.
• The ratio of circles to squares is $3$‍ to $6$‍.

• There are $2$‍ squares for every $1$‍ circle.
• There is $1$‍ circle for every $2$‍ squares.

Glossary