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,...

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.

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.

Young scholars 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 activity, students use various methods to explain their reasoning in solving fractions. Students use a number of different prompts to...

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...

Learners use ads from magazines to create data to be measured and apply the skill of estimation. They record the percentage of magazine ads that could be separated into different categories made by students through the use of logical...

Students construct two-column proofs. In this geometry lesson, students use deductive reasoning and geometric properties to justify given geometric statements. Students compare and contrast proofs.

Fourth graders use inductive reasoning to find algebraic patterns in geometric figures. They use technology (i.e., calculators, computers) and manipulatives to discover number patterns involving geometric concepts. They solve concrete...

The lesson says it is intended for 4th grade but it is suitable for grades 1-3 as well. The class discusses what it means to add, the commutative property of addition, and mathematical reasoning. This is an exercise in number sense,...

Fibonacci numbers are not only found in the classroom but also in nature. Explore the concept of Fibonacci numbers through a series of lessons designed to gain insight into the mathematical reasoning behind the number pattern, and spark...

Upper graders explore division through fair-shares. They will review fair shares and fractions as a segway into division. They start by playing "Share Fairly" game and create mathematical arguments for solving problems. Manipulatives and...

Eighth graders read a book "Counting on Frank" with a partner. Using the text, they identify eight clues and use their mathematical reasoning in real-life situations. They participate in a game and turn in a notebook in which they write...

Your young learners will enjoy mathematics that is meaningful correspondence as they play their way to a deep mathematical foundation. Organized around the math standards, this appropriate sequence of conceptual, preschool...

Fifth graders apply math to real-world situations. In this mathematics lesson, 5th graders are read the book, "Math Curse," which discusses ways in which math is used each day. Students then write a sequel to the book in groups,...

Students measure prisms and determine their volume. In this measurement and reasoning lesson, students estimate the volume and area of prisms. They measure given boxes. Students use paper to create prisms and cylinders. They determine...

Students investigate the concept of using different types of presentations to help solve mathematical problems. They research the use of illustrations to help understand data and its interpretation in a graphing format. Students also...

Using the concept of a candy vending machine, young mathematicians explore the sugar ratios found in different types of candy. Using the provided information, class members calculate and compare different ratios in...

Third graders determine the outcome of each of the following situations and justify their findings: even number + even number = ?, even number + odd number = ?, odd number + odd number = ?, and odd number + even number = ?.

Middle schoolers discover scales for both the solar bodies' relative sizes and their distances from the sun. They find equatorial circumference and volumes of their solar bodies. Students apply estimation strategies and proportioanl...

Students perform an experiment to find the linear relationship between the appllied weight and the bend of the cantilever. In this linear relationships activity, students follow detailed directions to set up an experiment. They add...

Students explore the problem of world hunger and starvation. After a class discussion, students use a map to identify specific areas where populations are starving. In groups, students research reasons for the lack of food. They prepare...

Scholars learn to order rational numbers in the seventh lesson in a series of 21. Reasoning about numbers on a number line allows for this ordering.

Young mathematicians dive into the number line to discover decimals and how the numbers infinitely get smaller in between. They click the zoom button a few times and learn that the number line doesn't just stop at integers. Includes...