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9.6 MB | 216 pages

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

Chebychevâ€™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!

**Individual Statistics Products**

**If you like what you see, please click on the "Follow Me" star to learn about new products, sales, and more!

How to earn TPT Credits:

"Earn TpT Credits for purchases on TpT. You get one TpT Credit for every $ you spend on TpT. Thing is, you only get the Credits after you Provide Feedback -- both a fair rating and a fair comment -- on the items that you purchase. We will round up for you, too! If you provide fair feedback on a $4.75 item, you will earn 5 credits. Every 100 Credits is worth $5 that you can apply towards future TpT purchases, but there is no need to wait until you have 100 to redeem them. 50 credits is worth $2.50, for example."--TPT Credits Page

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:

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

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

Chebychevâ€™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 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

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

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

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

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!

**If you like what you see, please click on the "Follow Me" star to learn about new products, sales, and more!

How to earn TPT Credits:

"Earn TpT Credits for purchases on TpT. You get one TpT Credit for every $ you spend on TpT. Thing is, you only get the Credits after you Provide Feedback -- both a fair rating and a fair comment -- on the items that you purchase. We will round up for you, too! If you provide fair feedback on a $4.75 item, you will earn 5 credits. Every 100 Credits is worth $5 that you can apply towards future TpT purchases, but there is no need to wait until you have 100 to redeem them. 50 credits is worth $2.50, for example."--TPT Credits Page

Total Pages

216

Answer Key

N/A

Teaching Duration

N/A

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