Statistics Interactive Notebook Activities & Scaffolded Notes

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Are you having trouble getting your students to take effective notes during math lessons? Are you looking for quick activities that can be completed in a math journal or at the end of a lesson as a check for understanding? If so, these activities are for you.

These math journal and/or note-taking activities introduce students to seven units of statistics (over 200 pages of useful materials). They can be used for introduction of topics or to reflect/review what you have covered in class discussion. The problems listed in this activity packet build nicely on each other if introduced in the order that they appear. Our students enjoy filling them out and organizing them in their math journals so that they can refer back to them throughout the year. These activities are a great way to promote writing in math. Keys are included for reference.

Scaffolded Note Sheets with Sample Teacher Keys for the following:

Introduction to Statistics
A Definition of Statistics
Data Sets
Branches of Statistics
Types of Data
Data: Levels of Measurement
Guidelines for Designing a Statistical Study
Methods of Data Collection
Factors that Can Ruin Experimental Results
Techniques that Can Be Used to Get Unbiased Results
Sample Size and Replication
Defining Key Terms
Commonly Used Sampling Techniques
Project: Evaluate the Data Collection in a Research Study
Plus 10 Interactive Math Notebook Foldable Activities

Descriptive Statistics
Frequency Distribution
Guidelines for Constructing a Frequency Distribution from a Data Set
Additional Features for a Standard Frequency Distribution
Frequency Histograms
Frequency Polygon
Relative Frequency Histogram
Cumulative Frequency Graph
Quick Sketch: Frequency Distribution Graph
Stem-and-Leaf Plots
How do you construct a stem-and-leaf plot?
Dot Plots
How do you construct a dot plot?
Pie Charts
How do you construct a pie chart?
Pareto Chart
How do you construct a Pareto chart?
How do you construct a scatter plot?
Scatter Plot
How do you construct a time series chart?
Time Series Chart
Measures of Central Tendency
What is an outlier?
What is a weighted mean?
Mean of a Frequency Distribution
Quick Sketch: Shape of Distribution
Range
Deviation
Population Variance
Population Standard Deviation
Sample Variance and Sample Standard Deviation
Empirical Rule
Chebychev’s Theorem
Using Midpoints of Classes to Find Standard Deviation
Quartiles
Interquartile Range (IQR)
Guidelines for Constructing a Box-and-Whisker Plot
Deciles and Percentiles
Standard Score (Z-Score)
Plus 18 Interactive Math Notebook Foldable Activities

Probability
Probability Experiment
Simple Event
Fundamental Counting Principal
Types of Probability
Classical Probability
Empirical Probability
Law of Large Numbers
Subjective Probability
Range of Probabilities Rule
Conditional Probability
Independent VS. Dependent Events
Multiplication Rule for the Probability of A and B
Mutually Exclusive Events
Addition Rule for the Probability of A and B
Permutation
Permutations of n Objects Taken r at a Time
Distinguishable Permutations
Permutation VS. Combination
Combinations of n Objects Taken r at a Time
Plus 13 Interactive Math Notebook Foldable Activities

Discrete Probability Distributions
Random Variables
Discrete Probability Distributions
Guidelines for Constructing a Discrete Probability Distribution
Verifying Probability Distributions
Probability Distributions
Mean, Variance, and Standard Deviation of a Discrete Random Variable
Mean of a Discrete Random Variable
Variance of Discrete Random Variable
Standard Deviation of a Discrete Random Variable
Expected Value
Binomial Experiment
Binomial Probability Formula
Constructing a Binomial Distribution
Finding Binomial Probabilities Using Formulas
Graphing a Binomial Distribution
Population Parameters of a Binomial Distribution
The Geometric Distribution
The Poisson Distribution
Plus 10 Interactive Math Notebook Foldable Activities

Normal Probability Distributions
Continuous Probability Distributions
Normal Distribution
Mean and Standard Deviation of a Normal Curve
Interpreting graphs of Normal Distributions
The Standard Normal Distribution
Guidelines for Finding Areas Under the Standard Normal Curve
Finding the Area Under the Standard Normal Curve
Finding Probabilities for Normal Distributions
Transforming a z-Score to an x-Value
Finding a z-Score Given an Area
Finding a z-Score Given a Percentile
Transforming a z-Score to an x-Value
Finding a Specific Data Value
Sampling Distributions
Find the Sampling Distribution of Sample Means
The Central Limit Theorem
Probability and the Central Limit Theorem
Finding Probabilities for Sampling Distributions
Normal Approximation to a Binomial Distribution
Using a Continuity Correction
Guidelines for Using a Normal Distribution to Approximate Binomial Probabilities
Plus 14 Interactive Math Notebook Foldable Activities

Confidence Intervals
Finding a Point Estimate
Defining Key Terms: Interval Estimate, Level of Confidence, Critical Values
Finding the Margin of Error
Confidence Intervals
Constructing Confidence Intervals
Determining a Minimum Sample Size
t-Distributions
Finding Critical Values of t
Guidelines for Constructing a Confidence Interval for the Mean: t-Distribution
Normal Distribution VS. t-Distribution
Finding a Point Estimate for p
Constructing a Confidence Interval for p
Finding a Minimum Sample Size to Estimate p
Chi-Square Distributions
Finding Critical Values for x^2
Confidence Intervals for Population Variance and Population Standard Deviation
Constructing a Confidence Interval
Plus 16 Interactive Notebook Activities!

Hypothesis Testing With One Sample
Hypothesis Testing
Statistical Hypothesis
Stating the Null and Alternative Hypotheses
Types of Errors
Identifying Type I and Type II Errors
Test Statistics
P-Value of a Hypothesis Test
Identifying the Nature of a Hypothesis Test
Decision Rule Based on P-Value
Interpreting a Decision
Steps for a Hypothesis Test Using P-Values
Writing the Hypotheses
Interpreting a P-Value
Finding the P-Value for a Hypothesis Test
Using P-Values for a z-Test
Hypothesis Testing Using P-Values
Rejection Regions and Critical Values
Finding Critical Values in a Normal Distribution
Using Rejection Regions for a z-Test
Testing Mean with a Large Sample
Critical Values in a t-Distribution
Test for a Mean (Sample less than 30,Standard Deviation Unknown)
Testing a Mean with a Small Sample
Using P-Values with t-Tests
z-Test for a Proportion p
Hypothesis Test for a Proportion
Critical Values for X^2-Test
X^2-Test for a Variance or Standard Deviation
Using a Hypothesis Test for the Population Variance
Using a Hypothesis Test for the Standard Deviation
Plus 20 Interactive Notebook Activities!

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Total Pages
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Statistics Interactive Notebook Activities & Scaffolded Notes
Statistics Interactive Notebook Activities & Scaffolded Notes
Statistics Interactive Notebook Activities & Scaffolded Notes
Statistics Interactive Notebook Activities & Scaffolded Notes
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