Module 6 Lesson 1 Generate & Organize Data

Group Counting 0 12 Here is the start of a number line. What number is halfway between 0 and 12? 6 24 What number is halfway between 12 and 24? What number is halfway between 24 and 36? What number is halfway between 36 and 48? What number is halfway between 48 and 60? 54 Now let’s count by 6s to 60!

Group Counting Now let’s count by 7s to 70! Fill in the missing numbers as we go

Group Counting Now let’s count by 8s to 80! Fill in the missing numbers as we go

Group Counting Now let’s count by 9s to 90! Fill in the missing numbers as we go

Division with Tape Diagrams 6 6 What is the value of the whole? 2 How many equal parts is 6 divided into? What is a division equation that will tell us the value for each part? 6 ÷ 2 = 3 3 3

Division with Tape Diagrams 8 8 What is the value of the whole? 4 How many equal parts is 8 divided into? What is a division equation that will tell us the value for each part? 8 ÷ 4 =

Division with Tape Diagrams 10 What is the value of the whole? 5 How many equal parts is 10 divided into? What is a division equation that will tell us the value for each part? 10 ÷ 5 =

Division with Tape Diagrams 9 9 What is the value of the whole? 3 How many equal parts is 9 divided into? What is a division equation that will tell us the value for each part? 9 ÷ 3 =

Problem of the Day Damien folds a paper strip into 6 equal parts. He shades 5 parts orange and leaves one part white. He then cuts off two shaded parts. What fraction is unshaded? Explain your thinking.  1/6 of the paper strip is unshaded. After 2/6 are cut, 3/6 remain shaded, and 1/6 is still unshaded.

Concept Development Today we are going to learn about and collect DATA. DATA is information in the form of facts and numbers that we gather for reference or analysis. We are going to gather and organize some DATA from our class. Our first DATA is a survey about our favorite colors.

Concept Development Our first DATA is a survey about our favorite colors. We will ask each person’s favorite color from the following list: GreenYellowRed Blue Orange Talk to your partner … How can we keep track of our data in an organized way? We can write each person’s name and color code it with that person’s favorite color. We can make a chart of the favorite colors.

Concept Development GreenYellowRed Blue Orange One efficient way to keep track of the data is to record it on a tally chart. We make one tally mark for each student that we count. Count with me as I make tally marks. I 1 student I 2 students I 3 students I 4 students 5 students This is how 5 is represented with tally marks. How might each fifth tally mark with a slash help you count your data easily and quickly? Talk to your partner. It is bundling tally marks by 5. We can “bundle” 2 fives as 10. If there are more “bundles” we can count by 5s or multiply the number of bundles by 5.

Concept Development GreenYellowRed Blue Orange Let’s pass out a problem set to everyone, so that we can record our data as we collect it. Now we will go around the room (as directed by the teacher), and each person will state his or her favorite color on this list. As each person says their favorite, use the chart in #1 of the Problem Set to record the data. For each student’s answer, make a tally mark in the box next to their favorite color. Don’t forget to record YOUR favorite when it’s your turn!

Concept Development Using our tally marks, help me fill in the following chart. This chart answers the questions in #2 of your problem set. Green YellowRed Blue Orange How many students chose orange as their favorite color?How many students chose blue as their favorite color?How many students chose red as their favorite color?How many students chose yellow as their favorite color? How many students chose green as their favorite color?

Concept Development Using our tally marks, help me fill in the following chart. This chart answers the questions in #2 of your problem set. Green YellowRed Blue Orange Which color did students choose the most? How many students chose it?

Concept Development Using our tally marks, help me fill in the following chart. This chart answers the questions in #2 of your problem set. Green YellowRed Blue Orange Which color did students choose the least? How many students chose it?

Concept Development Using our tally marks, help me fill in the following chart. This chart answers the questions in #2 of your problem set. Green YellowRed Blue Orange What is the difference between the number of students in (c) -- Most and (d) – Least? Write a number sentence to show your thinking.

Concept Development Using our tally marks, help me fill in the following chart. This chart answers the questions in #2 of your problem set. Green YellowRed Blue Orange Use mental math to find the total number of students we surveyed. How did we get that total? We added the tally marks in each box to get a total of students surveyed. Write an equation that shows your mental math in #2 (f) on the Problem Set.

Concept Development Green YellowRed Blue Orange Using pictures or a picture graph, let’s graph the data we collected. Read the directions for Problem 3 on your Problem Set. Find the KEY for each graph, which tells you the value of a unit on that graph. What is different about the keys on each of these two picture graphs? The top graph uses one heart  to show one student. The bottom graph uses one heart  to show two students. How would you represent 4 students in the top graph?  How would you represent 4 students in the bottom graph? 

Concept Development Keep working to figure out how we will fill in our chart! Green YellowRed Blue Orange If each heart represents two students, like in the bottom graph, what is the value of this picture? 6 students! What is a multiplication sentence that shows our thinking? 3 x 2 = 6  Now turn and discuss with your partner: How can we represent an odd number like 5 on our chart? We could draw three hearts and cross out part of one. We could draw half of a heart What would the value of half a heart be? 1 student!

Concept Development Now let’s use our knowledge to fill out the charts in problem 3a! Green YellowRed Blue Orange

Concept Development And in problem 3b! Green YellowRed Blue Orange

Concept Development Now let’s look at the chart in Problem 3b and answer the questions in Problem 4. a.What does each  represent? 2 students! b.Draw a picture and write a number sentence to show how to represent 3 students in the picture graph.  = 3 c.How many does  represent? Write a number sentence to show how you know = 14 7 x 2 = 14 d.How many more  did you draw for the color that students chose the most than for the color students chose the least? Write a number sentence that shows the difference.

Awesome Job! Give yourself a pat on the back!