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Lesson plan · Grades 6-7 · 45 minutes

Smoothie Lab

I can use ratio language, tables of equivalent ratios, graphs and unit rates to scale a recipe.

Standard
6.RP.A CCSS-Math
Shape
Explore first
Grouping
Whole class for the hook, then pairs on devices.
You need
The tool on the projector and on student devices. Graph paper for ratio tables.
Tool
curioclass.org/tools/smoothie-lab/
  1. Hook5 min
  2. Explore13 min
  3. Make sense10 min
  4. Apply12 min
  5. Exit check5 min

Before class

  • Open Explore with an empty jug.
  • The jug holds 24 scoops. Adding fruit after blending starts a fresh jug.
  • Smoothie color is mixed from the fruit amounts, so equivalent recipes really are the same color.

Hook 5 min

  1. Make 4 scoops of strawberry and 6 of banana. Press Blend and taste. That's batch 1.
  2. "I want a smaller batch that tastes exactly the same. How many scoops of each?" Take guesses.

Explore 13 min

  1. Make 2 strawberry and 3 banana, and blend. The owner says it tastes exactly like batch 1, and the log marks it "= #1."
  2. Pairs try other recipes and predict which will taste the same as batch 1. They blend to check.
  3. Pairs look at the graph. "Where do the equal-tasting recipes land?" (On one straight line through 0.)
  4. Ask: "The layers in the jug are each one scoop. What fraction of the smoothie is strawberry?"

Make sense 10 min

  1. "Why do 4 : 6 and 2 : 3 taste the same?" (Both parts were divided by 2.)
  2. Build a ratio table on the board: 2 : 3, 4 : 6, 6 : 9, 8 : 12. "What do you multiply by to get each row?"
  3. Find the unit rate: "How many scoops of banana for 1 scoop of strawberry?" (1.5.)
  4. "Why do all the equal-tasting recipes sit on a straight line that starts at 0?"

Apply 12 min

  1. Pairs switch to Orders. Each order asks for a recipe plus one condition: scale up, fill to a total, simplest form, a percent, a unit rate.
  2. Every try lands on the graph: red tastes wrong, gold tastes right but misses the condition, green fills the order.
  3. "What did you multiply by? How do you know?"

Exit check 5 min

On a card: "A smoothie uses 3 scoops of mango for every 5 of yogurt. Make a ratio table with three rows. How much mango for 20 scoops of yogurt? What is the unit rate of yogurt per scoop of mango?"

Support and stretch

  • Support: stay with doubling and halving before other scale factors.
  • Support: use the hint after two wrong tries.
  • Stretch: fill every order in Orders on the first try.
  • Stretch: "Two batches are the same color. What do you know about their ratios?"

Short on time

  • Batch 1 and batch 2 in Explore (8 min).
  • Two orders in Orders (8 min), then the exit card (4 min).

How each button works is in the teacher notes. From Curio Class, free under CC BY 4.0: change it, print it, share it.