Pizza and Patterns: Sense Making of Slope/Intercept Functions

Wayne Snydersnyder66@verizon.net

Associates in Learning and LeadershipCal Poly Pomona Teacher Education

Ilene FosterIlene.Foster@cgu.edu

Claremont Graduate University Teacher Education

CMC – Palm SpringsOct 25, 2014

• Conference Theme - Common Core Mathematics: Building Competent and Confident Problem Solvers in all students

Essential Questions

• Why do we use Engaging Scenarios to engage all students in the learning of the mathematical standards?

• How can we use Engaging Scenarios to engage all students in the learning of the mathematical standards?

• How do Engaging Scenarios support students in the Eight Standards of Mathematical Practice?

Essential Question #1

• Why do we use Engaging Scenarios to engage all students in the learning of the mathematical standards?

Have you ever felt this way?•

Vocabulary activity

• Each person gets a colored piece of paper with vocabulary words listed. DO NOT open it until you are told to.

• You will follow the instructions for your paper.• You have two minutes to complete the task.• Work alone on this one.

Vocabulary Activity

• The Questions– Memorize these words.

Vocabulary Activity

• The Questions– Memorize these words.– Circle all of the vowels and count the total for this

list of words.

Vocabulary Activity

• The Questions– Memorize these words.– Circle all of the vowels and count the total for this

list of words.– Rate these words for pleasantness.

Short and Long Term Memory Results

20

from novice to expert

Brain Research

Essential Question #2

• How do we use Engaging Scenarios to engage all students in the learning of the mathematical standards?

Which Pizza Should I Buy?

Learning Objective:

Students will be able to develop and represent a function from a scenario, and be able to translate between representations.

(table, graph, equation, words)

PIZZA PUZZLE

Which Pizza Should I Buy?Procedure:

1. Set up the Engaging Scenario

2. Anticipatory Set – place the students into the engaging scenario – interest, relevance, ownership

3. Students manipulate the data to answer questions – inquiry, mathematical modeling

4. Students translate between representations and write explanations/ justifications - literacy

PIZZA PUZZLE

Wayne’s Pizza World sells pizzas for $12 each regardless of toppings, and no other fees. Ilene feels this is too much, so she starts Ilene’s $7 Pizza Club for members only. There is a $15/month membership fee, but pizzas are only $7 each regardless of toppings.

Quick Write: “Which sounds like a better deal to you, and why?”

PIZZA PUZZLE

Representations of the Problem

1. Create 2 T-charts (data tables, function tables), one for each pizza plan.

2. Complete first chart. Look at the three patterns that come from a function table. Repeat with second plan.

3. Graph the two plans. Relate to slope, y-intercept, and equations.

4. Use the information to revisit the original question and to write a detailed justification.

PIZZA PUZZLE

Unpacking the Pizza Puzzle:

Criteria and Characteristics• The Content • The Process

DEBRIEF

Essential Question #3

How do Engaging Scenarios support students in the Eight Standards of Mathematical Practice?

STANDARDS FOR MATHEMATICAL PRACTICE

Match the task to the standard(s). Using the set of cards, decide which

practice(s) were addressed in the pizza problem.

ALIGNMENT TO COMMON CORE