Recipes
5 min
Teacher Prep
Setup
Narrative
The purpose of this Warm-up is to quickly remind students of different ways to write ratios. They also have an opportunity to multiply the number of each type of shape by 2 to make two copies of the flower, which previews the process introduced in this lesson for making a double batch of a recipe.
Launch
Arrange students in groups of 2. Ensure that students understand that there are 6 hexagons, 2 trapezoids, and 9 triangles in the picture, and that their job is to write ratios about the numbers of shapes. Give 2 minutes of quiet work time and then invite students to share their sentences with their partner. Follow up with a whole-class discussion.
Student Task
This flower is made up of yellow hexagons, red trapezoids, and green triangles.
- Write sentences to describe the ratios of the shapes that make up this pattern.
- How many of each shape would be in two copies of this flower pattern?
Sample Response
- Sample responses:
- For every 2 hexagons there are 3 triangles.
- There are 3 hexagons for every trapezoid.
- The ratio of trapezoids to triangles is 2 to 9.
- The ratio of hexagons to trapezoids to triangles is 6:2:9.
- There would be 12 yellow hexagons, 4 red trapezoids and 18 green triangles.
Activity Synthesis (Teacher Notes)
Invite a student to share a sentence that describes the ratio of two shapes in the picture. Ask if any students described the same relationship in a different way. For example, three ways to describe the same ratio are: The ratio of hexagons to trapezoids is 6:2.. The ratio of trapezoids to hexagons is 2 to 6. There are 3 hexagons for every trapezoid.
Ask a student to describe why two copies of the picture would have 12 hexagons, 4 trapezoids, and 18 triangles. If no student brings it up, be sure to point out that each number in one copy of the picture can be multiplied by 2 to find the number of each shape in two copies.
Anticipated Misconceptions
Students might get off track by attending to the area that each shape covers. Clarify that this task is concerned only with the number of each shape and not with the area covered.
Standards
- 6.RP.1·Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. <em>For example, "The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak." "For every vote candidate A received, candidate C received nearly three votes."</em>
- 6.RP.A.1·Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. <span>For example, “The ratio of wings to beaks in the bird house at the zoo was <span class="math">\(2:1\)</span>, because for every <span class="math">\(2\)</span> wings there was <span class="math">\(1\)</span> beak.” “For every vote candidate A received, candidate C received nearly three votes.” </span>
15 min
15 min
Knowledge Components
All skills for this lesson
No KCs tagged for this lesson
Recipes
5 min
Teacher Prep
Setup
Narrative
The purpose of this Warm-up is to quickly remind students of different ways to write ratios. They also have an opportunity to multiply the number of each type of shape by 2 to make two copies of the flower, which previews the process introduced in this lesson for making a double batch of a recipe.
Launch
Arrange students in groups of 2. Ensure that students understand that there are 6 hexagons, 2 trapezoids, and 9 triangles in the picture, and that their job is to write ratios about the numbers of shapes. Give 2 minutes of quiet work time and then invite students to share their sentences with their partner. Follow up with a whole-class discussion.
Student Task
This flower is made up of yellow hexagons, red trapezoids, and green triangles.
- Write sentences to describe the ratios of the shapes that make up this pattern.
- How many of each shape would be in two copies of this flower pattern?
Sample Response
- Sample responses:
- For every 2 hexagons there are 3 triangles.
- There are 3 hexagons for every trapezoid.
- The ratio of trapezoids to triangles is 2 to 9.
- The ratio of hexagons to trapezoids to triangles is 6:2:9.
- There would be 12 yellow hexagons, 4 red trapezoids and 18 green triangles.
Activity Synthesis (Teacher Notes)
Invite a student to share a sentence that describes the ratio of two shapes in the picture. Ask if any students described the same relationship in a different way. For example, three ways to describe the same ratio are: The ratio of hexagons to trapezoids is 6:2.. The ratio of trapezoids to hexagons is 2 to 6. There are 3 hexagons for every trapezoid.
Ask a student to describe why two copies of the picture would have 12 hexagons, 4 trapezoids, and 18 triangles. If no student brings it up, be sure to point out that each number in one copy of the picture can be multiplied by 2 to find the number of each shape in two copies.
Anticipated Misconceptions
Students might get off track by attending to the area that each shape covers. Clarify that this task is concerned only with the number of each shape and not with the area covered.
Standards
- 6.RP.1·Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. <em>For example, "The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak." "For every vote candidate A received, candidate C received nearly three votes."</em>
- 6.RP.A.1·Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. <span>For example, “The ratio of wings to beaks in the bird house at the zoo was <span class="math">\(2:1\)</span>, because for every <span class="math">\(2\)</span> wings there was <span class="math">\(1\)</span> beak.” “For every vote candidate A received, candidate C received nearly three votes.” </span>