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,...

Twenty-one pieces of tagboard can lead your class to a greater understanding of integers when you use them to form a human number line. After creating this math tool, two strategies for adding and subtracting will have your...

Take young scholars on a trip through history with this unit on the mathematics and architecture of the Mayan civilization. Starting with a introduction to their base twenty number system and the symbols they used, this eight-lesson unit...

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 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.

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,...

"Show your work!" It's the math teacher's mantra. Support your class with meeting this reasonable requirement with this set of recording paper templates.

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...

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...

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 = ?.

OK, now this is a cool resource. It contains ideas for 7 stations intended to be used by kids and their parents during family night at school. Each station engages learners (of all ages) in using scientific reasoning and mathematical...

Students identify the different place values. In this algebra lesson plan, students represent decimal place values with manipulatives. They identify the correct place value using commas and mathematical reasoning.

Introduce young mathematicians to concepts of financial literacy with this open-ended word problem. With seven dollars to spend during field day and given a list of available items and their prices, children must determine how they want...

Fourth graders use triangle paper to design patterns using geometric figures and find the areas of those figures by counting units. Students are assessed by determining which figure has the greatest area and explaining their reasoning.

Finding approximate solutions to word problems allows users to assess the reasonableness of their answers. In a well-paced lesson, the class rounds numbers to estimate the solutions. They explain their thinking and determine if the...

Eighth graders investigate percents by comparing different discounts on the same sale item, practice graphing percents, and look at reasonable and unreasonable "percents off" a sale item.

Students complete worksheets involving rotational symmetry. In this geometry instructional activity, students complete worksheets to identify rotational symmetry and rotations. They compare and contrast rotated figures. Students examine...

Third graders pick up plastic ants scattered on the floor. They take them back to their desks, count them, and add their totals to those of other students.

Eighth graders use mathematical expressions to solve problems.  In this basic properties of operations, 8th graders use prior knowledge and logical reasoning to solve equations. Students analyze an equation by solving a...

Learners investigate proofs used to solve geometric problems. In this geometry lesson, students read about the history behind early geometry and learn how to write proofs correctly using two columns. The define terminology valuable to...

Students increase problem solving strategies by completing a "Problem of the Day" using a math manipulative. They identify key words and determine the operation to use. They perform mathematical tasks using the computer program Math Keys.

Students inspect divisibility rules. In this divisibility rules instructional activity, students study the relationship between factorization and the divisibility rules for 2, 3, 5, 6, 9, and 10. Students read One Hundred Hungry Ants and...

The basics of number theory and set notation are explained in a highly approachable way in a self-contained lesson plan and worksheet. Introducing the vocabulary and concepts from ground zero and building to more complex ideas of...