Comparing Rates with Tables

Opening: On your returned assessment, look at the first problem. Create a table in your notebook that has each integer value from 1 to 10. On a coordinate grid, plot the votes for each person and the total votes. (Please make sure you use a different color for each group.) What comparisons can you make?

Dissecting the coordinate grid

Which Pain Relief medication is the best deal?

Image Source: D Meyer

• Please create a table that can be used to compare prices.

• Graph the information

Homework: Finish the above problem if you did not. Groups will present at the beginning of class.

Tables and Graphs

August 27, 2012 Using Tables to organize information

1. Update your Table of Contents with the date and topic (listed above).

By the end of class, I should be able to:

• use tables to organize information
• make comparisons of ratios from information in a table.
• plot values from a table on the coordinate plane

Assessment

Golden Ratio & our bodies

The golden ratio (symbol is the Greek letter "phi")is a special number approximately equal to 1.618.

Today, you had the task of finding ratios in your body that could possibly contain the golden ratio. We began by comparing the length from your soles (bottom of feet) to the top of your head with the length from your soles to your navel.

An example from Jeremy:

• Total height (length from soles to top of head): 153 cm
• Length from soles to navel: 94 cm
• Ratio → 153 cm / 94 cm = 1.63 (Wow! Getting close)

Find four other ratios on your body that get close to the Golden Ratio.

Homework: On the coordinate plane,

1. Please make a ratio table that contains the body comparisons in your search for the Golden Ratio
2. Please graph your data.

• y-axis: Longer length
• x-axis: Shorter length

Student Tracking Form

On average, I sleep about 8 hours 15 minutes each day. So, during September, I will likely sleep for
                         8.15 x 31= 252.65 or about 250 hours.

Krista told me that I have made some mistakes in my calculations. Show me where my mistakes lie (if I even made mistakes). Please correct my calculations if necessary.

[Note: great discussion everyone! I appreciated the time each of you took to think about your work and that of other students.]

By the end of class, I should be able to:

• use a tracking sheet to show me what I need to work on
• use tables to organize information
• make comparisons of ratios from information in a table.

Student Tracking Form - how can we keep track of our progress...

Golden Ratio & our bodies - we will continue this next class

Assessment

Monday, August 20 - we had an assessment in class and then reviewed solutions while the act of doing math was fresh in our minds.

Unit Rates

Opening:

1. Update your Table of Contents with the date and topic (listed above).
2. Please begin by doing a quick practice. Open your Practice Workbook to page 104. Complete problems 1-6.

By the end of class, I should be able to:

• find the unit rate of a situation

Problem-Set Review from last class. The process is the most important.

• How are you looking at a problem?
• What questions do you have?
• How do you decide what is important information?
• How do you move forward on solving a problem?

(Small group completion of problems.)

Uh, oh - what happened in this circumstance?



Unit Rate - what does this mean to you? (Let’s break the words apart.)

Please complete the opening page (PW104) for homework.
Assessment on ratios Monday.

Homework due Thursday 8/16

Please complete the first page (problems 1 & 2) of the ratio sheet.

Working with ratios

August 14, 2012 - Ratios

Class Opening -
Welcome! Please begin by meeting your group members from last class at your whiteboard. You should each have a solution to the Leaky Faucet problem. I want each of you to contribute to the solution. Please do the following:

1. Listen to the solution provided by each person in the group. It is important to allow even those of us with the quietest voices time to explain ideas.
2. If different solutions are provided, decide as a group how you will write up the solution.
3. Be organized as you write up the solution.
4. You will present your solution to the other group.

By the end of class, I should be able to:

• write two equivalent ratios
• identify key information in ratios word problems
• solve word problems using ratios

Class Syllabus

Create a Table of Contents

Key Vocabulary Ratio Equivalent

Vocabulary Words of the Month Contribute Elaborate

Vocabulary - Please write your own meaning for the word “ratio”.

Working with Ratios:

1.This negative, when developed will produce a 4" by 6" photograph.
  What is the length of each negative, if the width is 24 millimeters?

What does the question want you to find?
What important information is given?
What ratios can you write for this problem?
Describe how you will solve the problem.

Problem Solution:                                                                



2. Hugh uses 13 grams of coffee powder to each liter of water.    He has a cup which holds 0.3 liters of water. How much coffee powder should he use?

Make a sketch of this problem that shows important information.

What does the question want you to find?
What ratios can you write for this problem?
Describe how you will solve the problem.

Problem Solution:




3. On average, I sleep about 7 hours 45 minutes each day. So, during one year, I sleep for  
                           7.45 x 365 = 2719.25 or about 2700 hours.

   This calculation is not correct. What is the correct answer?

What does the problem ask you to do?
What important information is given?
What ratios can you write for this problem?
What has been done incorrectly?

Problem Solution:   



4.John’s collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2, and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?

What does the question want you to find?
What important information is given?
What ratios can you write for this problem?
Describe how you will solve the problem.

Problem Solution:

Leaky Faucet Problem

Good conversation on the wrap up of the chocolate milk problem!

Today, we examined another problem. Each group spent time working the problem but it was not completed. You were asked to write down essential information and complete the problem for Tuesday. Please bring in your work that shows and explains what you did.

Chocolate Milk?

Welcome! This year we will spend a lot of time working on problems and mathematical habits. Let's go ahead and start thinking about problems. Here is one posed by a chocolate milk maker...

Thanks to Dan Meyer for video.

What are you wondering?


How can I fix this? How can I make it the right mix of chocolate and milk?

Opening Schedule

Dear 6th Graders,
We will be together this year for Mathematics, Science and an Intro to Computers (1st Semester). On the first day, you will visit all of your classes.

General Schedule:
8 - 8:45       Assembly
8:50 - 9:30   PE (Day 1, Block A)
9:35 - 10:15 Intro to Computers - meet in the Satellite Lab (Day 1, Block B)
10:20 - 11    English (Day 1, Block C)
11:05 - 11:45 Science (Day 1, Block D)

Whew, that's a lot. After the first day, the Day 1 schedule will stretch over the entire day. Classes are 90 minutes and there is a 15 minute break between classes.

11:50 - 12:35  Lunch

12:40 - 1:20  Social Studies (Day 2, Block E)
1:25 - 2:05  Different Electives  (Day 2, Block F)
2:10 - 2:50  English (Day 2, Block G)
2:55 - 3:35  Math (Day 2, Block H)

The classes after lunch will also be stretched over the entire Day 2. The rest of the week will have a normal schedule that alternates between Day 1 (Thursday) and Day 2 (Friday).