Tomorrow: Tuesday the 26th is Cowboy day, Go back in time to the Wild West!

Display and write on the following:

We are "Number Ninjas" - chopping up numbers

Page 1: model counting to the middle, circle exact numbers and write a question mark between others. Ask about patterns

Page 2: After: how could we prove that we are correct? (number line)

Page 3: Goal: force using a number line to prove what number is in the middle. Think pair share # 8 and #6 -- and ask if someone can prove it

Page 4: model counting to middle, circling, and then "calculating" mid. Any patterns? 10, 11 (mid #) & 8, 9 (none) & 6, 7 (mid #) & 4, 5 (none)

Page 5 After: look at these! What did we just do? (broke the data into 4 equal groups). NOTICE that all of the data sets were ordered!!!! Now you do it in groups.

Work with your group to divide the data into 4 equal parts:

2, 4, 4, 7, 9, 11, 13, 15, 16, 18, 19

13, 7, 4, 18, 9, 4, 16, 2, 11, 15, 6

3, 5, 5, 8, 10, 12, 14, 16, 17, 19

To divide a data set into four equal parts:

First, make sure the data is in order from least to greatest!

Second, find the middle of the data set by counting from the ends toward the middle (number ninja)

Next, find the middle of the lower half: count from the left and middle (number ninja)

Last, find the middle of the upper half: count from the right and middle (number ninja)

1. In your notebook, make meaningful notes for your forgetful selves

2. CYUQs → Divide each data set into four equal parts. Do in your notebook. You chose where you want to start.

1, 3, 5, 5, 8, 10, 14, 17, 19

2, 4, 4, 7, 9, 11, 13, 15, 17, 18

1, 3, 5, 5, 7, 9, 12, 14, 14, 18, 19

14, 7, 3, 12, 8, 14, 5, 10, 6

9, 3, 15, 7, 12, 3, 18, 6, 11, 14

8, 14, 3, 11, 6, 14, 2, 9, 5, 17, 10

3. Stuck? Choose to persevere: review your thinking, try different approaches, ask for help, search

The first part of your Unit 1 Projects look GREAT. It was a solid start. Let's take a moment to review the checklist together (below). Please compare your work and, if needed, make improvements.

1. Use a ruler for your histogram's rows and columns (90 degree angles, vertical and horizontal lines)

2. Include labels (1 for the dot plot, 2 for the histogram)

3. Verify that your histogram does not have any gaps between columns

4. Shade your histogram in a way that makes it easier to see the data (every other column)

5. Verify that your histogram has realistic buckets (ranges) -- not too big

Click below to see a Level 3 project:

Short day for B2S Night 6-7:30

Tomorrow: Wednesday, Glow back to the future with neon colors.

If you did not finish your Renaissance Star Math, please raise your hand to let me know.

Divide the data into 4 equal parts. Check your work with the students around you and if you need help, get help. And if someone else needs help, give help.

2, 3, 4, 7, 9, 11, 11, 11, 18

12, 7, 3, 18, 5, 9, 12, 2, 16, 8

6, 14, 3, 11, 8, 6, 17, 2, 13

Glue your Dot Plot & Histogram (showing your Level 3 work) into your notebook. It is one of your learning archives.

After completing the Check-your-understanding Questions, which were important for everyone to do?

Setup: Today we are going to take our data sets -- divided into QUARTERS -- and use them to make a box plot

Start with this data: 17, 18, 19, 20, 21, 23, 23, 26, 28 (Minutes spent doing chores) and divide it into four equal groups

Make a number line (skip count)

Think out loud while marking the dots above min, max and Q1, Q2, Q3. Draw the whiskers and make the box

Turn and talk: what did I do first, second, third?

For each of the following data sets, make a box-plot.

2, 7, 7, 7, 8, 9, 13, 14, 18

3, 5, 6, 8, 9, 10, 10, 13, 14, 19

2, 3, 4, 7, 9, 11, 11, 11, 18

A box plot, or box and whisker plot, is a graphical tool that displays the distribution of a dataset using 5 numbers: the minimum, maximum, Q1, Q2, and Q3

Steps for making a box plot:

1. Order the data from least to greatest and divide the ordered data into 4 equal parts (number ninja)

2. Create a number line (with correct spacing) that starts with the min and ends with the max

3. Make dots above the number line that represent the min, max, Q1, Q2, and Q3.

4. Make a box around Q1, Q2, and Q3. Draw whiskers to the min and max.

1. In your notebook, make meaningful notes for your forgetful selves

2. CYUQs → For each of the following data sets, make a box-plot. Do in your notebook. You chose where you want to start. Check answers as you’re working. If you need help, get help. And if someone else needs help, give help.

9, 10, 12, 13, 14, 15, 17, 17, 20

16, 20, 21, 22, 22, 24, 24, 26, 27

5, 6, 7, 8, 9, 11, 12, 12, 15

18, 19, 20, 20, 21, 23, 24, 27

45, 42, 50, 44, 47, 42, 53, 49, 46, 54

35, 44, 38, 32, 46, 41, 35, 48, 40, 37

3. Stuck? Choose to persevere: review your thinking, try different approaches, ask for help, search

Tomorrow: wear your grade level shirts or class colors on Friday, white for 6th grade

After completing the Check-your-understanding Questions, which were important for everyone to do?

On the blank side, write: First name, last name, 12T4

For the past eleven days, Alice kept track of the number of minutes she practiced the violin.

9, 10, 12, 13, 15, 15, 17, 20, 24, 25, 30

Create a box and whisker plot to display the data.

Click the link below. Make a box-plot for each of the four data sets. Do in your notebook. You chose where you want to start. Check answers as you’re working. If you need help, get help. And if someone else needs help, give help.

Solutions

Assembly Schedule

In a moment, I will pass yesterday's entry ticket back to you.

The first thing you want to do is glue it into your notebook. It is one of your learning archives.

Secondly, let's review some Level 3 work and discuss. If you scored a 1 or a 2, you are welcome to revise your original answer -- but I encourage you to leave your original answer (don't erase it, simply put a line through it and write your revised answer above, below or next to it)

The purpose of displaying data using a line plot, histogram, or box plot is so you can SEE the data visually. When you have a long list of numbers, it is hard to make sense of what is happening.

Once we have a line plot, histogram, or box plot; it is much easier to describe (make sense) the data. We can:

A. Identify trends and understand patterns

B. Predict the likelihood of seeing a value or range of values in the future

C. Make informed (more intelligent) decisions

Describe the shape of the data distributions.

Here are a list of common descriptions: "The data ..."

"is centered at... " or "has a cluster at..."

"has gaps at... " or "has peaks at... "

"is symmetric" or "is not symmetric"

"is skewed to the right (or left)"

"has a min of... and max of... which means a range of.... "

"has x values"

* I printed the list for you to glue into your math notebook

Vocabulary words and phrases for describing the distribution of a data set:

Cluster: where the data is grouped close together

Gap: a gap in the data where there are no values

Peak: most frequently occurring value (Bimodal data has two distinct peaks)

Range: how far apart the data points in a distribution are from each other. * The range is one way to describe the variability of the data

Shape: The overall pattern of the data, which can be symmetric (evenly balanced, like a bell curve) or skewed

Skewed data is data that isn't spread out evenly, creating a "tail" or slant on one side when you look at the display.

- Left Skew (Negatively Skewed): The tail of the graph points to the left.

- Right Skew (Positively Skewed): The tail of the graph points to the right.

Use the sentence starters and vocabulary words to describe the distributions.

1. Glue the sentence starters and vocabulary into your notebook.

2. CYUqs → Use your sentence starters and vocabulary to describe each of the data sets. Do in your notebook. You chose where you want to start. Check answers as you’re working. If you make a mistake, fix it. If you need help, get help. If someone else needs help, give help.

p897: 9, 10, 12a, 12b; p895: 1, 2; p894: 2 (Volume 2)

3. Stuck? Choose to persevere: review your thinking, try different approaches, ask for help, search