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,...

Mathematical reasoning and linear systems are two of the strategies used to solve this number puzzle. Your learners will enjoy the challenge and the variety of ways to approach this challenge.

Fourth graders draw pictures and diagrams as they attempt to solve a mathematical problem involving the arrangement of eleven tables shaped like equilateral triangles and the seating of exactly twenty-five people.

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...

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...

Find the math in recipes. Young chefs will follow a recipe and investigate the total cost for materials. They measure amounts of food necessary for the recipe and compute the per person cost.

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. 

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...

Students apply number and operation skills to learn how to spend a gift certificate. In this mathematical reasoning lesson, students use base 10 blocks as money and calculate how much money they have.

Students study the concept of fraction using mathematical reasoning. In this problem solving fraction lesson, students use various methods to explain their reasoning in solving fractions. Students use a number of different prompts to...

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...

Fourth graders design a table and chair arrangement. In this mathematical reasoning lesson, 4th graders place tables shaped like equilateral triangles so that they seat the appropriate number of guests. 

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....

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...

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...

It turns out math IS for the birds! Here, learners use mathematical reasoning to determine how often someone needs to fill a bird feeder. The rate the feeder empties varies by the number of holes that are available to the birds. Day two...

Find the faster rate. The resource tasks the class to compare proportional relationships represented in different ways. Pupils find the slope of the proportional relationships to determine the constant rates. They then analyze the...

Twelfth graders examine multiple aspects of statistics. In this mathematical reasoning lesson, 12th graders solve problems on probability, logarithms, exponential relationships and transforming rectilinear shapes. This resource contains...

Students reason mathematically as they solve problems dealing with probability of an even occurring. In this probability lesson plan, students differentiate between different rankings of candidates running for leadership. They identify...

Students differentiate between inductive and deductive reasoning. In this geometry lesson, students identify congruent figures and examine logos for congruency.

Not all relationships with a pattern are proportional. Show your class why in the fourth installment of a 22-part series. The lesson builds upon previous parts and has pupils analyze tables to determine whether they represent a...