Natural human interest in patterns and algebraic study of function notation are linked in this introductory unit on the properties of sequences. Once presented with a pattern or situation, the class works through how to justify...

Test your pupils' reasoning skills with several activities and a quick mystery to solve. Learners watch and analyze a few video clips that demonstrate reasoning in action, practice deduction with an interactive and collaborative...

Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...

Real-life mathematics is not as simple as repeating a set of steps; pupils must mentally go through a process to come to their conclusions. Teach learners to read, analyze, and create a plan for solving a problem situation. The...

Explore the effect of outliers through an analysis of mean, median, and standard deviation. Your classes examine and compare these measures for two groups. They must make sense of a group that has a higher mean but lower median compared...

A change is coming. Pupils use unit cubes to investigate how changes in the length, width, and/or height affects volume and surface area. They extend the results to write and test predictions on the effect of changing multiple sides on...

Does writing the name of a color in a different colored ink affect one's ability to read it? Scholars design an experiment to answer this question. They collect the data, analyze the statistics, and draw a conclusion based on...

Explore business problems through mathematical analysis. The task has individuals write and graph a linear system to determine the best business model. They use their models to answer a series of questions that help to make a conclusion.

Quickly get to the decimal point. The last assessment in a nine-part series requires scholars to work with decimals. Pupils compare the race times of several athletes and calculate how much they have improved over time. During the second...

If there is a conditional statement, then there is a hypothesis and conclusion. Pupils learn how to identify the parts of conditional statements. Class members continue to work with conditional statements and rewrite them in their many...

Class members study the size of classmates' feet and perform a statistical analysis of their data. They solve for central tendencies, quartiles, and spread for the entire group as well as subgroups. They then write a conclusion based on...

Can you graph your story? Keep your classes interested by challenging them to graph a scenario and interpret the meaning of an intersection. Be sure they paty attention to the detail of a graph, including intercepts, slope,...

How high can your pupils jump? Learners design an experiment to answer this question. After collecting the data, they create box plots and scatter plots to analyze the data. To finish the instructional activity, they use the data to...

What a scam! Middle and high schoolers pose as journalists exposing consumer fraud. In this lesson, they write an article for a magazine using data collected during previous investigations (prior lessons) to defend their findings that a...

Statistics come front and center in this unit all about analyzing discrete data. Real-world situations yield data sets that the class then uses to tease out connections and conclusions. Beginning with the basic histogram and...

Apply the properties of exponents to expressions with negative exponents. The fifth activity in the series explains the meaning of negative exponents through an exploration of the properties taught in the previous lessons of the...

Explore a basic pattern to practice writing expressions. In collaborative groups, learners examine a contextual pattern and write an expression to model it. The task encourages groups to describe the pattern in multiple ways.

In this hypothesis and conclusion worksheet, students solve 6 short answer problems. Students write the hypothesis or conclusion given an if-then statement.

In this hypothesis and conclusion worksheet, students solve 6 short answer problems. Students identify the hypothesis and conclusion of a given if-then statement.

Most problems can be solved using more than one method. A activity includes just nine questions but many more ways to solve each. Scholars must graph, solve, and justify quadratic problems.

Scholars find a pattern from a geometric sequence and write the formula for extending it. The activity includes a table to complete plus four analysis questions. It concludes with instructional implications for the teacher.

It's time to check the mail! The task is to determine the most cost-effective way to mail a packet of information. Young scholars write an equation that models the amount of postage as a function of the number of sheets mailed and...

Seventh graders simulate probability experiments. Using a graphing calculator, 7th graders design, conduct, and draw conclusions from simulations or probability experiments. Students construct frequency tables and compare the...

Solve and complete 18 problems about angles. First,  demonstrate that each conjecture is false by giving a counterexample. Then write the inverse, contrapositive, and converse for the each statement. In addition, write a...