Operation Mathematics

This resource can be used as a class activity or individual practice worksheet. Students are given 12 situations to analyze, and they must decide whether each of them represents a random sample or a biased sample. If being used as a class activity, students should cut out the squares (each situation is on one square). They can then tape them onto the board (have the board divided into 2 categories) based on what kind of sample they believe it is. As a class, you can then discuss each situati

In this project, students are given three scenarios to choose from. They can own a new restaurant, clothing store, or sporting goods store. For each situation, they are given a list of categories that can be used to create customer choices. They will then relate their menu (or catalog) to probability and, more specifically, the fundamental counting principle. A rubric is provided to guide instructor grading. This is an open-ended project, so it is accessible to both beginning learners and a

These guided notes can be used to introduce students to random samples. Formulas and examples are provided to introduce the calculations for sample proportions and margins of error. The second part of the resource contains a page of practice problems that can be given as an individual assignment to assess student mastery. A key is provided.

This practice worksheet is used to introduce the fundamental counting principle. Students will be given 2 situations. In the first situation, they choose the color and size of a shirt. In the second situation, they choose a meal at a restaurant. To demonstrate why the fundamental counting principle works, they create a tree diagram to illustrate the number of possible outcomes. A key is included.

This resource can be used to introduce relative frequency tables (probability distributions). It begins with definitions and a formula for relative frequency (probability). It then provides 2 examples where students create relative frequency tables (probability distributions) based on sets of data. Students also create a bar chart to represent the data in the second example. A key is provided.

These guided notes are used to introduce the following terms: data, population, sample, parameter, statistic, qualitative (categorical) data, quantitative (numerical) data, observational study, experiment, simulation, survey. Examples are provided throughout the notes to provide practice with identifying populations/samples, distinguishing parameters/statistics, labeling data as quantitative/qualitative, and determining the method of data collection (observational study, experiment, simulation,

This assignment can be used to assess the following concepts: distinguishing statistics and parameters, identifying populations and samples, and differentiating between quantitative/qualitative data. Numerous situations are also given to test whether students can determine if a study is an experiment, survey, or observational study. A variety of question types are included (true/false, short answer, fill in the blank). A key is provided.

This resource can be used to introduce two-way frequency tables. The difference between marginal and joint frequency is emphasized. Additionally, students learn how to find probabilities by creating two-way tables that show relative frequencies. This resource includes 2 practice exercises. For each of them, students fill in the missing numbers in a two-way table and answer questions about probability by creating a two-way relative frequency table. A key is provided.

In this resource, students are provided with an overview of frequency tables and histograms. They are then given sets of data to practice creating frequency tables and histograms. Several interpretation questions are also provided. A key is included.

This resource can be used to introduce students to the following concepts: standard deviation, range, interquartile range, z-score, empirical rule. Students first calculate the standard deviation of a large data by following step-by-step instructions before getting a formula. Example problems, formulas, and definitions are then included to illustrate the other concepts. A key is provided.

This resource begins with notes on experimental design. The following vocabulary is introduced: sample size, control group, experimental group, placebo, placebo effect, blinding, double-blind experiment, randomization, and replication. Practice questions are included to ensure that students can identify elements of a well-designed experiment and find potential flaws in a design. In the second part of this resource, students are asked to design their own experiment to test the validity of a co

This resource begins with guided notes on the mean, median, and mode of a data set. Students are also asked to analyze whether the mean would make sense in several different situations. The second part of this resource is a class activity. Students choose a numerical measurement (shoe size, for example) and survey their classmates about it. Using their set of data, students find the three measures of center and identify potential outliers. They also create a histogram to represent their dat

On this worksheet, students will construct tree diagrams in 3 different situations: flipping a coin 2 times (heads or tails), having 2 children (boy or girl), and making a pizza (3 types of crust and 2 choices for toppings). They will then calculate probabilities based on each tree diagram. A key is included.

In this activity, students will collect data from their classmates and create two-way frequency tables. They will identify an interest/preference that may be affected by gender and create 2 options for their classmates to choose between. Using their data, they will create a two-way frequency table and a two-way relative frequency table. Finally, they will interpret the results from their tables. The second part of this resource can be used as additional practice. Students are given data abo