Drawing circles isn't the only thing compasses are good for. In this first installment of a 36-part series, high schoolers learn how to draw equilateral triangles by investigating real-world situations, such as finding the location of a...

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.

Students define inductive and deductive reasoning and write two column proofs. In this geometry lesson, students analyze arguments and draw conclusion. They define steps necessary to arrive at the correct answer when completing proofs.

Scholars learn about a series of three challenges when they design a bus system for a small town. They determine the bus routes and then figure out the best type of fuel to use before considering the cost of going electric. Learners...

Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and...

Students draw a model of the bunny problem which generates the Fibonacci Sequence, spirals generated from golden rectangles and golden triangles; identify the golden ratio in the human body, and find the Fibonacci numbers in nature.

This problem is sure to get your young mathematicians thinking. The idea sounds simple: one equation, solve it as many ways as you can. This is meant to get at a deeper understanding of solving quadratic equations, including some more...

Tenth graders investigate deductive reasoning.  In this geometry lesson, 10th graders compare and contrast inductive ns deductive reasoning.  Students use deductive reasoning to investigate algebraic proof and explore deductive...

Third graders apply deductive reasoning and make predictions. In this language arts lesson, 3rd graders discuss questions and use deductive reasoning to make a prediction. Students look for patterns and prior knowledge to make predictions.

Pupils play a game with coins and then use reasoning skills to develop a strategy for winning the game.

Students practice their logical thinking skills. In this reasoning lesson, students complete tasks involving geometric shapes, place value, and odd/even numbers.

Working backwards can sometimes help you see a path to solving a problem. In this chapter, properites of quadrilaterials are proven by looking at flowcharts and working the probem backwards. Worked through examples are given, along with...

Upper graders represent multiplication of a two-digit number by a two-digit number as the area of a rectangle with dimensions of the two factors. They find patterns for the number of different base ten blocks in a rectangle representing...

Welcome to the backward world of negative numbers. This introductory lesson teaches young mathematicians that negative numbers are simply the opposite of positive numbers as they use number lines to plot and compare...

Mathematicians use an inquiry method to solve linear equations. In this linear equations lesson, students practice solving equations using addition, subtraction, multiplication and division. They solve multi-step equations and equations...

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...

Scholars first investigate relationships in the side lengths of 30°-60°-90° triangles and 45°-45°-90° triangles. This knowledge then helps them solve problems later in the lesson about special right triangles.

In this area of shapes unit, upper graders participate in hands-on problem solving activities to find the formulas for the area of a parallelogram, a triangle, and a trapezoid. They manipulate the geoboard to explore relationships among...

Investigate the area and perimeter of polygons in this geometry lesson plan. Young geometers use grid paper to draw a quadrilateral and calculate its area and perimeter. They also read The Greedy Triangle to identify the changing shape...

In this math worksheet, learners examine a drawing of a neighborhood made of geometric shapes. Students answer 5 questions about patterns they discover. Then learners answer 5 word questions about address numbers by using logical...

Young scholars recognize problems that may be solved using deductive reasoning, and develop aids to help them in solving these problems. They produce their own deductive reasoning puzzles for other students to solve.

Young scholars explore what a proof is, how and why mathematicians create them and compose essays on how reason and logic are employed in the workplace. They explore whether any three lines can make a triangle and attempt to verify...

Pupils use the problem solving strategy of guess and check to investigate math word problems. They determine which problem solving strategy or strategies would work best in problem situations.

Venn diagrams are helpful in understanding the idea of a set and using attributes to sort items. This basic plan is an introduction with an added bonus of an applet that can be used to demonstrate the activity. If a classroom of...