Data Management

Graphing and Central Tendancy

Kahoot - Data Management Starter

How to plot coordinate pairs song (Password: SI2017)

I found teaching this song with arm movements invaluable to students to help them remember how to plot coordinate pairs.


X then Y

Over, then up

Over, over, then up


X then Y

Over, then up

Over, over, then up

Grade 6 - Data Management and Probability:

Data Management and Probability: collecting and organizing discrete and continuous data; displaying data using continuous line graphs; selecting appropriate graphical representations; using continuous line graphs and mean to compare sets of data; finding theoretical probabilities; predicting the frequency of an outcome based on the theoretical probability

Overall Expectations

By the end of Grade 6, students will:

• collect and organize discrete or continuous primary data and secondary data and display the data using charts and graphs, including continuous line graphs;

• read, describe, and interpret data, and explain relationships between sets of data;

Big Ideas In Data Management



1. Graphs are powerful data displays because they quickly reveal a great deal of information

2. To collect useful data it is necessary to decide in advance what source or collection method is appropriate and how to use that source or method effectively.

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Are there other types of graphs?

Some Definitions

Coordinate Grid
  • A grid with each horizontal and vertical line numbered in order


Plot
  • Locate and draw a point on a coordinate grid


Coordinate Pair
  • A pair of numbers that describe a point where a vertical and horizontal line meet on a coordinate pair


Origin
  • The point on a coordinate grid at which the horizontal and vertical axes meet. The coordinate pair of the origin is (0, 0)

Discrete And Continuous Data - How are they different? How are they the same?

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https://youtu.be/_yAQb8gWBpU
https://youtu.be/g30cI4Kbhb4

Let's See What You Learned!

Creating A Graph

What questions do we ask ourselves when we want to create a graph?

Making a Bar Graph
https://youtu.be/M8ufrdKbjRM
https://youtu.be/n2YkbdNORp8
https://youtu.be/N5eaVBwmTq4
https://youtu.be/TMtSqbB0jmY
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What is Scale?

Learning Goal: How do you decide what the scale on a graph should be?

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Hands On

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Exit Ticket

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How Did You Grow As A Mathematician Today? Tell 2 new math words you learned and what they mean.

Let's Begin Again With scale

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How do you know what type of graph to choose to display your data?

Why Would you choose that type of graph?

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Do these Bar graphs display the data as we discussed?

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What do we notice about a Circle Graph?

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WAL: Why is this a Broken Line Graph?

Hands oN

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Exit Ticket

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Exit Ticket - Please explain your thinking

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Creating a Line Graph

Hands On

Can a line graph be used to predict how much water a tap wastes in 7 minutes?

Mrs. Noce had a leaky tap outside of her house. She wanted to know how much water it wasted and predict how much water would be wasted over time.
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  1. What type of data is this?
  2. Create a graph to display your data.
  3. What type of graph should you choose to display your data? Why?
  4. Can you use the graph to predict how much water is lost in 5, 6 and 7 minutes.
  5. Can you use the graph to predict the number of litres of water wasted in 2.5 minutes?

Exit Ticket


Zion has a remote controlled truck. He wants to know the distance the truck can travel in 5s. To find out, he tested the truck in a parking lot. Each second, he recorded the distance the truck travelled.

Remote Controlled Truck Data

Time (s)

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1. What type of data is this?

2. Create a graph to display your data.

3. What type of graph should you choose to display your data?

4. Can you use the graph to predict how far the car can travel in 5s.

5. Use the graph or table to estimate the distance the truck can travel in 3.5s.

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How To Draw A Line Graph

Drawing Line Graphs by Hand
While watching please take notes on what makes a proper graph. This will help you when you make your own video on Explain Everything on how to make a proper graph.

A Beginner's Guide To Graphing Data

Not all of this information in this video applies to grade 6, for example, you will not learn about Scatter Plots until grade 8.


While watching please take notes on what makes a proper graph. This will help you when you make your own video on Explain Everything on how to make a proper graph.

A Beginner's Guide to Graphing Data

Create Your Own Video

Using the graph of your choice and Explain Everything teach someone how to create a proper and detailed graph.

Be sure to include:


  • an explanation of your frequency table (what your data is)
  • label the X and Y axis
  • What is your scale? What do you need to know to create your scale?
  • How EXACTLY do you plot information on your graph?

How to Use Explain Everything

Explain Everything tutorial: Create your first videocast

How To Justify Your Chosen Graph - Mind Map

(but first we need to understand a mind map)

How to Make a Mind Map - The Basics
https://youtu.be/4wZ5wV5dPZc
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Mean, Median and Mode

https://youtu.be/B1HEzNTGeZ4
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If the mean of these numbers plus one additional number is 9, what is the missing number?

Mean, Median and Mode

Mean

Mean is the average, the average, the average

Mean is the average,

You add and then divide.

Mode

Mode is the most, the most, the most,

Mode is the most,

It’s the number with the most.

Median

Median is the middle, the middle, the middle,

Median is the middle,

You have to order first.

Hands On

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What strategies did you use to solve this problem?

Exit Ticket

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mean, median & mode

What do you know about Mean, Median & Mode?

Activation

YOU are taking a math course. Here are the results of the math tests YOU have had so far.


92, 92, 90, 45, 95, 92



Would you want your mark to be the mean, the median or the mode?

What is the mark that reflects the how well you understand your math course

the mean, median or the mode?

What is the mark that reflects the how well you understand your math course?

Outlier - What is an Outlier?

https://youtu.be/ip8XhG5ZqsY

Outliers - A number that is much larger or much smaller in your DATA SET


- If there is no OUTLIER use the mean

- If there is an OUTLIER use the median

Let's Do A Quick Mean, Median & Mode Quiz - Get Your White Boards & Calculators Ready!

Hands On

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Exit Ticket

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What did we learn about mean, median and mode?

–We learned how to interpret mean, median and mode

–Sometimes there are OUTLIER data that skew the results

–Sometimes it is best to take the mean, sometimes the median, sometimes the mode - it depends what you are trying to get from the results

Hands On

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Exit Ticket