Number and Number Sense 

Computation and Estimation 

Measurement and Geometry 

Probability, Statistics, Patterns, Functions, and Algebra 

SOL Review Materials 




Probability and Statistics
Focus: Practical Applications of Statistics
The student will
a) describe mean as balance point; and
b) decide which measure of center is appropriate for a given purpose. 


Essential Knowledge and Skills 
 Find the mean for a set of data.
 Describe the three measures of center and a situation in which each would best represent a set of data.
 Identify and draw a number line that demonstrates the concept of mean as balance point for a set of data.

Essential Understandings 
 What does the phrase “measure of center” mean? This is a collective term for the 3 types of averages for a set of data – mean, median, and mode.
 What is meant by mean as balance point? Mean can be defined as the point on a number line where the data distribution is balanced. This means that the sum of the distances from the mean of all the points above the mean is equal to the sum of the distances of all the data points below the mean. This is the concept of mean as the balance point.


Vertical Articulation 
 SOL 5.16abcd  a) describe
mean/median/mode; b) describe
mean as fair share; c)
find the mean/median/
mode/range; d) describe range as
measure of variation

Instructional Materials 
 VDOE Enhanced Scope and Sequence Lesson: Balancing Act (PDF)  Mean as the balance point (Word)
 Notes: Measures of Center & Mean as a Balance Point (flipchart)  32 slides: notes and interactive practice, multiple choice questions
 Notes: Measures of Center (flipchart)  interactive practice, multiple choice questions finding mean, median, mode and range
 Notes: Measures of Center Vocabulary (doc)  fill in notes on measure of center
 Notes: Mean as a Balance Point (flipchart)  7 slides: notes (similar to above), interactive practice with measure of center, and multiple choice questions
 Guided Notes: Candy Mystery (flipchart)  understanding mean, median, mode and practice finding mean as a balance point
 Guided Practice: Measures of Center (flipchart)  two videos with practice to review mean, median mode, range and balance point
 Activity: Measure of Center with QR Codes (doc)  9 multiple choice questions finding best measure of center with QR codes
 Activity: Haunted House Game (ppt)  Answer Key (doc)  interactive powerpoint practicing mean, meadian and mode (need to click on read only to play)

Real World Lessons 

Practice 

SOL Mini Quiz 
 SOL 6.15 Mini Quiz: Measure of Center (pdf)

Skills 
 Mathematics Assessment Project: A25:Suzi's Company  Apprentice  In this task, you must help Suzi figure out the annual salary bill for her company and check some statistics about rates of pay.
 Measures of Central Tendency: Test Scores (doc)

Videos 
 YouTube:
Finding the Mean of a Data Set as a "Balance Point"
 PH: Finding the mean
 PH: Finding the medium
 PH: Finding the mode

Explore
Learning 
 Describing Data Using Statistics: Investigate the mean, median, mode, and range of a data set through its graph. Manipulate the data and watch how the mean, median, mode, and range change (or, in some cases, how they don't change).
 Line Plots: Build a data set using a line plot. Find its mean, median, mode, and range. Change the data values by dragging the points, and watch how the mean, median, mode, and range change (or, in some cases, do not change).
 Mean, Median and Mode: Build a data set and find the mean, median, and mode. Explore the mean, median, and mode illustrated as frogs on a seesaw, frogs on a scale, and as frogs stacked under a bar of variable height.
 Movie Reviewer (Mean and Median): Movie reviewers rate movies on a scale of 0 to 10. Each movie comes with a set of reviews that can be changed by the user. The mean of a data set can be explored using a seesaw balance model. Students can also find the median, mode, and range of the data set.
 Reaction Time 1 (Graphs and Statistics): Test your reaction time by catching a falling ruler or clicking a target. Create a data set of experiment results, and calculate the range, mode, median, and mean of your data. Data can be displayed on a list, table, bar graph or dot plot. The Reaction Time 1 Student Exploration focuses on range, mode, and median.
 Reaction Time 2 (Graphs and Statistics): Test your reaction time by catching a falling ruler or clicking a target. Create a data set of experiment results, and calculate the range, mode, median, and mean of your data. Data can be displayed on a list, table, bar graph or dot plot. The Reaction Time 2 Student Exploration focuses on mean.

Websites 
 Jeopardy game for Mean, Median, Mode and Range
 Learn Alberta: Select Statistics and Probability  Central Tendencies
 BrainGenie: Using Measures of Central Tendency

VDOE Interventions 
 VDOE Algebra Readiness Curriculum Companion: Exploring Statistics  The lessons focus on methods of data collection and use of technology to represent data
with various types of graphs. Students learn that different graphs represent different types of data
effectively and to use measures of center and dispersion to analyze and interpret data. (pdf)

Common Core
Standards 
6.SP.2 
6.SP.3 
6.SP.5a 
6.SP.5c 
6.SP.5d 
7.SP.3 
7.SP.4 
SID.2 

