Ratios and Patterns in Geometry

In lesson three, students explore how ratios affect recipe taste. By the end, they should understand equivalent ratios using recipes, represent recipes in diagrams, and know how to double or triple recipes. The lesson includes a warm-up activity involving a flower pattern made of hexagons, trapezoids, and triangles. Students write sentences to describe shape ratios and calculate the number of shapes in two copies of the pattern.

What is the main objective of today's lesson on recipes?

• To memorize different recipes

• To explore the history of cooking

• To understand how ratios affect recipe taste

• To learn how to cook a new dish

In the warm-up exercise, what shapes make up the flower pattern?

• Circles, squares, and rectangles

• Hexagons, trapezoids, and triangles

• Pentagons, hexagons, and circles

• Squares, triangles, and hexagons

How would you describe the ratio of hexagons to trapezoids in the flower pattern?

• 3 to 1

• 1 to 3

• 2 to 1

• 1 to 2

If there are three hexagons for every trapezoid, how many trapezoids are there for every three hexagons?

• One

• Four

• Three

• Two

What is the ratio of trapezoids to hexagons in the flower pattern?

• 2 to 1

• 1 to 2

• 1 to 3

• 3 to 1

How many hexagons are there in two copies of the flower pattern?

• 3

• 6

• 9

• 12

If the original pattern has two trapezoids, how many trapezoids will be in two copies of the pattern?

• Two

• Four

• Six

• Eight

How many triangles are there in two copies of the flower pattern?

• 6

• 18

• 9

• 12

What mathematical operation is used to find the number of shapes in two copies of the pattern?

• Addition

• Subtraction

• Multiplication

• Division

If you have two copies of a pattern with six hexagons each, how many hexagons do you have in total?

• 6

• 12

• 18

• 24