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.
Are there other types of graphs?
Some Definitions
- A grid with each horizontal and vertical line numbered in order
- Locate and draw a point on a coordinate grid
- A pair of numbers that describe a point where a vertical and horizontal line meet on a coordinate pair
- 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?
Let's See What You Learned!
Creating A Graph
What questions do we ask ourselves when we want to create a graph?
What is Scale?
Learning Goal: How do you decide what the scale on a graph should be?
Hands On
Exit Ticket
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
How do you know what type of graph to choose to display your data?
Why Would you choose that type of graph?
Do these Bar graphs display the data as we discussed?
What do we notice about a Circle Graph?
WAL: Why is this a Broken Line Graph?
Hands oN
Exit Ticket
Exit Ticket - Please explain your thinking
Creating a Line Graph
Hands On
Can a line graph be used to predict how much water a tap wastes in 7 minutes?
- What type of data is this?
- Create a graph to display your data.
- What type of graph should you choose to display your data? Why?
- Can you use the graph to predict how much water is lost in 5, 6 and 7 minutes.
- 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)
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.
How To Draw A Line Graph
A Beginner's Guide To Graphing Data
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.
Create Your Own Video
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
How To Justify Your Chosen Graph - Mind Map
(but first we need to understand a mind map)
Mean, Median and Mode
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.
Practice Kahoots - Mean, Median, Mode, Range
- Use the Kahoots to practice
- Use the Kahoots to learn new facts
Practice Kahoot 1
Practice Kahoot 2
Hands On
What strategies did you use to solve this problem?
Exit Ticket
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?
Outliers - A number that is much larger or much smaller in your DATA SET
- 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
Exit Ticket
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