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...

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...

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...

Students use logical arguments and inductive reasoning to make or disprove conjectures. After observing a teacher led demonstration, students discover that the deductive process narrows facts to a few possible conclusions. In groups,...

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.

The learner puts reasoning and estimation to work. The directions are to place a decimal in the answer to make the equation true. Pupils are to look at the two problems, one multiplication and one division, and estimate an answer. No...

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...

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.

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...

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...

In this logical reasoning activity, 4th graders read a paragraph about what three students are brought for lunch before determining what each student eats through logical reasoning. They record what they understand, make a plan, fill in...

In this problem solving worksheet, students use logical reasoning to solve each of 4 problems. The word problems pertain to the position of people in line, theater seating and identification of who plays what instrument in a talent show.

In this problem solving strategy worksheet, students read 3 different story problems. Students use logical reasoning to solve.

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. 

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...

Use the 20 Questions game to practice math vocabulary and number properties! Project a hundreds chart and hand one out to learners. Ideally, give them counters (beans would work well) to mark off the chart so you can play multiple times....

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...

This a fun problem for young geometers to play with while gaining important insight into deductive reasoning. Some will find the answers very quickly, others might take a less direct path, but all will use their knowledge of the sum of...

Five days of lessons develop number sense and counting patterns, including odd and even numbers, 5s and 10s, doubles, and ways to make 10. Each session opens with fun finger play to reinforce counting and reasoning about numbers. Various...

In this bridge-crossing worksheet, students read a word problem.  They use logic and deductive reasoning to determine the correct combination for two men to cross a bridge at the same time to get the anticipated results.  This...

Super cool and totally fun math awaits your class. They are the code breakers, and their job is to identify and locate the secret agent by breaking two different codes. They use all their skills to solve a series of double-digit addition...

  Your archaeologists combine proportional reasoning with exponential functions in a real-life task centered on Carbon 14 dating.