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Work the Following on Your Own Paper…. Luis mixed 6 ounces of cherry syrup with 53 ounces of water to make a cherry-flavored drink, Martin mixed 5 ounces of the same cherry syrup with 42 ounces of water. Who made the drink with the stronger cherry flavor?

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work the following on your own paper

Work the Following on Your Own Paper…

Luis mixed 6 ounces of cherry syrup with 53 ounces of water to make a cherry-flavored drink, Martin mixed 5 ounces of the same cherry syrup with 42 ounces of water. Who made the drink with the stronger cherry flavor?

Give mathematical evidence to justify your answer.

let s discuss

Let’s Discuss

What was challenging about this problem?

What was routine about this problem?

Looking at some responses…

What is the mathematical evidence?

What makes “good” explanation?

solving a simpler problem
Solving a Simpler Problem
  • Create a set of 4 related, but simpler problems
  • Each group should work one problem
    • Work together
    • Make sure everyone in the group can solve the new problem
  • Be ready to share the solution and solution strategy
solving a simpler problem1
Solving a Simpler Problem
  • Share the solution and solution strategy with your new group
  • Look back to the original problem and discuss with the group
    • Was your thinking correct on the original problem?
    • Did you use a similar strategy on the simpler problem and the original problem?
    • Can you apply a new strategy?
grading rubric
Grading Rubric
  • A grading rubric is used to show students exactly what the expectations are for a task that is being assessed.
  • Rubrics help provide some credit for correct thinking even if the answer to the task is not exactly right.
  • Typically, a rubric scores with points ranging from 0 to 4 and includes a description of the characteristics of a response that ranks at each levels.
share your rubric
Share Your Rubric
  • Share your characteristics for each level beginning with level 0
  • Record each groups’ ideas in one list
  • Decide upon a rubric for the whole class
how did you do
How did you do?
  • Assess the following student responses using our rubric.
  • As you assess other student work, think about
    • What constitutes a complete justification?
    • Why is the justification important?
naep scoring guide
NAEP Scoring Guide
  • Compare the rubric your class created to the scoring guide from NAEP
  • Compare your scoring of student work to the score NAEP would assign
multiple choice question
Multiple Choice Question

Abby found a recipe for humming bird nectar. The recipe called for 2 cups of sugar and 3 cups of water. Abby only had 1 ½ cups of sugar. What amount of water should she use to make the nectar?

  • 1 cup
  • 2 ¼ cups
  • 2 ½ cups
  • 2 cups
choice a
Choice a.)

Abby found a recipe for humming bird nectar. The recipe called for 2 cups of sugar and 3 cups of water. Abby only had 1 ½ cups of sugar. What amount of water should she use to make the nectar?

choice b
Choice b.)

Abby found a recipe for humming bird nectar. The recipe called for 2 cups of sugar and 3 cups of water. Abby only had 1 ½ cups of sugar. What amount of water should she use to make the nectar?

choice c
Choice c.)

Abby found a recipe for humming bird nectar. The recipe called for 2 cups of sugar and 3 cups of water. Abby only had 1 ½ cups of sugar. What amount of water should she use to make the nectar?

choice d
Choice d.)

Abby found a recipe for humming bird nectar. The recipe called for 2 cups of sugar and 3 cups of water. Abby only had 1 ½ cups of sugar. What amount of water should she use to make the nectar?

good wrong answers
“Good” Wrong Answers

Abby found a recipe for humming bird nectar. The recipe called for 2 cups of sugar and 3 cups of water. Abby only had 1 ½ cups of sugar. What amount of water should she use to make the nectar?

  • What other answer choices might distract someone from the correct answer?
back to cherry drinks
Back to Cherry Drinks
  • Luis mixed 6 ounces of cherry syrup with 53 ounces of water to make a cherry-flavored drink, Martin mixed 5 ounces of the same cherry syrup with 42 ounces of water. Who made the drink with the stronger cherry flavor?
  • What answer choices would make good distractors?
time to reflect
Time to Reflect
  • On a scale of 1 to 5 (1 being extremely confident, 5 being not at all confident), rate your level of confidence in solving a problem involving a proportion. Explain your rating.
  • What are the important understandings necessary for solving a problem involving quantities that relate in proportion to one another?