The 15th segment in a series of 22 uses examples that present proportional relationships with fractions. Pupils work through the problems and discover that the process is the same as it is with whole number values. Graphing the...

Is Sherlock Holmes an inductivist or a deductivist? Users of this interactive to distinguish between inductive and deductive reasoning. They consider in various situations whether it is better to list evidence and then introduce a claim...

Introduce pupils to the two types of reasoning, inductive and deductive. Classmates work in pairs or small groups to learn the difference between the two and apply these reasonings to develop valid conclusions. 

Time to see what they've learned. Seventh graders solve a set of seven short problems in the ratios and proportional relationships domain. Applications include photo negatives, washing machines, coffee powder, sleep, stamps, etc.

Provide class members with an opportunity to practice reasoning. A resource contains six skill-based items aligned to the Common Core. The items require pupils to reason abstractly and attend to precision.

Scholars determine how long it takes to build a birdhouse with the second activity on using equations with proportional relationships. The resource uses examples such as birdhouse building and produce prices to encourage pupils to write...

The proof is in the review. Individuals watch a short review of the content from the unit to prepare for the unit exam. The review covers inductive reasoning, conditional and related statements, and two-column algebraic and geometric...

Work together to find proportional relationships. The sixth portion of the 22-part unit is a collaborative exercise. Teams work with given representations of relationships and determine if they are proportional by creating tables and...

What do those points on the graph mean? The 10th instructional activity in a series of 22 presents proportional relationships as graphs. Class members interpret various points of the graph — including the origin — within the context of...

Help your learners grow their critical thinking and analytical skills by asking them to examine logical fallacies. After reading an example, pupils determine if two sets of premises and conclusions are logical fallacies or not and...

Stuck trying to remember the formal language of a geometric proof? Never fear, this handout has them all ready to go. The reasons are sectioned by topic so this handy guide is ready when you are to tackle those two column proofs. 

Whodunnit? Find out who killed Mr. Brooks through a logical examination of evidence. Class members fill out a couple of data tables to help them pin down the suspect. After they've figured out just who the culprit is, pupils compose...

Learners determine whether there is a constant multiple within the table through an instructional activity that presents a method for determining whether two quantities are proportional. Pupils analyze tables to determine if they...

Challenge the class to determine whether two quantities are proportional. The second lesson in a unit of 22 has class members decide if two quantities have a proportional relationship. If a proportional relationship exists, the pupils...

Give your class a lesson in logical reasoning. This worksheet, which focuses on ad hominem arguments, goes step by step through an example. After examining the argument, learners assess a second conversation for ad hominem arguments...

Don't table the resource—use it now. An AP® Calculus curriculum module encourages the use of tabular data throughout the course. It provides some example topics, such as rate of change, net change, and average value of a function, where...

Did Smitty do it, or is he a victim? Sleuths apply their observation and reasoning skills to build a case for an argumentative paragraph. Class members closely observe a cartoon, make a claim, cite evidence from the image, and support...

The proof is in the reading. Using the informative resource, scholars read a second article about either Althea Gibson or Roberto Clemente. As they read, they continue adding reasons and evidence to their graphic organizers to show how...

Let's race to the finish line. Scholars read an informational text about a chosen athlete. While reading, they add evidence and reasons to a graphic organizer to support their opinions about how their athlete broke barriers. 

What proportion of learners will benefit from the lessons on proportional reasoning? Class members learn about proportional relationships, from unit rates to writing equations for proportional relationships. Then, they learn to use...

Just how big would it really be? Young mathematicians determine if different toys are proportional and if their scale is accurate. They solve problems relating scale along with volume and surface area using manipulatives. The...

Use proportions to determine the travel distance in a given amount of time. The 10th installment in a series of 33 uses tables and descriptions to determine a person's constant speed. Using the constant speed, pupils write a linear...

Pupils puzzled over pH? Incorporate an interactive resource that teaches through games! Chemistry scholars use reasoning to solve puzzles that focus on determining the pH based upon hydrogen ion concentration.

As part of a study of crafting compelling arguments, class members tackle the problem presented in Lawrence Kohlberg's "The Heinz Dilemma." After discussing the dilemma with classmates, writers draft an essay with a claim, support...