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## Objective

SWBAT apply their understanding of ratios and rates.

#### Big Idea

This lesson is a performance task based on their learning of ratios. Students will be using their knowledge of ratios and unit rates to create their own pizza.

## DO NOW (day 1 and 2)

15 minutes

Day 1: Methaphorical Duel

In this do now problem, I’m going to have students demonstrate their flexibility in thinking by using a tool called metaphorical duels (Math tools, 2012)  Methaphorical duels increases flexibility in thinking, reasoning and precision in communication of ideas. Students will be required to pick which metaphor they most identify with then justify their answer in writing.  Students will then share their responses with other students to compare ideas.

The Metaphorical Duel I will be using is this:  Are percentages more like money or more like probabilities?  Both of the concepts are familiar to students.  There is no right/wrong answer.  Student justification will determine the strength of their opinion. (MP2 and 3).  I chose this metaphorical duel because it requires students to think outside of the box.  They also need to convince me that their metaphor makes the most sense which is a strategy used in MP 3.

Day 2: Cinquains

Time: 15 minutes

For day 2, do now, I’m going to have students create their own Cinquain (Math Tools, 2012).  Cinquains are used in poetry and they make connections in  a creative way.  Today we are going to make a math Cinquain and the topic is ratio.

Three action verbs (“ing”)

Four-word sentence or phrase

One-word conclusion or summary

FOR EXAMPLE:

Ratio

Useful, easy

Comparing, multiplying, dividing

Used to compare quantities

Fractions

It will be a good idea to have a cinquain ready for the students to see.  Additionally, I would make one with them so they get a good feel for how this should work.  Allow time for students to share their mathematical poetry

60 minutes

Students will be creating a pizza recipe and planning the ingredients to make pizza for 12,60, and 240 students.  Students will be using unit prices for the ingredients, preparing a budget, and calculating the cost to feed varying numbers of people.  Using ratio/rate language, each student writes a proposal to persuade the cafeteria manager to use his/her recipe.  Students may work in small groups, but all written work must be completed independently to assess student learning.  All work should be done during class.  If students do not finish, they will be taking their final assessment the following day and can finish after the test. All work should be graded when the task is completed.

Task 1:  Cost to make Pizza  (Day 1)

Task 2:  Cost to feed 12, 60, 240 students (Day 1 and finish Day 2)

Task3:  Proposal to the cafeteria manager (day 2)

Before students begin working on this project, remind them to use their notes if they get stuck and to use a diagram or table to keep track of the information. Also, have the students pay attention to the labels as some ingredients are being measured in ounces while others are being measured in pounds.

In order to determine mastery, students will be able to demonstrate a thorough understanding of computing unit costs and costs for multiple servings and displaying the information in a table.  Additionally, their writing will demonstrate a strong use of mathematical language, will be organized, and will be convincing, clear and focused.

Students that are performing at grade level will show minor errors in computation but these errors do not interfere with overall accuracy. The writing portion is focused and clear.  Mathematical language is used correctly and their argument is convincing.

Struggling students will demonstrate a weak understanding of ratios and unit rates.  Their table is unclear and there are many mathematical errors. Their proposal has limited mathematical language and it is difficult to follow.  Their argument is ineffective and does not support the evidence given.

Student letters will be collected for a grade and be used as evidence of student learning.

## Closure (Day 1 and 2)

10 minutes

Day 1:  After the first day of working on this performance task, I’m going to have students take some time and make a list of the things they will need to do to complete the tasks for tomorrow.  This will give the students some down time and gather their thoughts for the next day.  I will also be taking any questions about concepts they are concerned about from today and any questions they may have about tomorrow’s task.

Day 2:  I’m going to be letting the students use this last 10 minutes to put the finishing touches on their performance task including the letter.  I will advise students to re-read what they wrote to make sure it makes sense.  I will ask them to edit their work along with reading for mathematical understanding and the language used.