Students explore trigonometric identities.   In this Algebra II lesson, students use graphing to verify the reciprocal identities.  Using Cabri Jr, students investigate the Pythagorean trigonometric identities and the...

Third graders investigate congruent polygons through dance. In this congruency lesson, 3rd graders do the "brain dance" as a warm up. They review polygon names by singing "The Polygon Chant," before mirroring congruent shapes with a...

Middle and high schoolers investigate all the different places in math that square root is present. In this geometry instructional activity, pupils discuss square roots as it relates to a right triangle and construction. They go over...

Tenth graders investigate the history of Pi and how it relates to circles. In this geometry lesson, 10th graders measure the circumference of a circle and the diameter of a circle. They relate these measurements to the number of Pi or 3.14

Youngsters solve division word problems. They will make their own division word problems using objects in equal groups. They share how they solved their problem with the class. Division worksheets are included to support the process....

Investigate the properties of three-dimensional figures with this Arctic-themed math lesson. Beginning with a class discussion about different types of solid figures present in the classroom, young mathematicians are then given a...

Natural human interest in patterns and algebraic study of function notation are linked in this introductory unit on the properties of sequences. Once presented with a pattern or situation, the class works through how to justify...

This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...

What properties does area possess? Solidify the area properties that pupils learned in previous years. Groups investigate the five properties using four problems, which then provide the basis for a class discussion.

Are pyramids and cones similar in definition to prisms and cylinders? By examining the definitions, pupils determine that pyramids and cones are subsets of general cones. Working in groups, they continue to investigate the relationships...

Right angles, acute angles, obtuse angles, central angles, inscribed angles: how many types of angles are there? Learners first investigate definitions of inscribed angles, central angles, and intercepted arcs. The majority of the...

How do you find the measure of an arc? Learners first review relationships between central and inscribed angles. They then investigate the relationship between these angles and their intercepted arcs to extend the Inscribed Angle Theorem...

How do you find arc lengths and areas of sectors of circles? Young mathematicians investigate the relationship between the radius, central angle, and length of intercepted arc. They then learn how to determine the area of sectors of...

It doesn't matter whether secant lines intersect inside or outside the circle, right? Scholars extend concepts from the previous lesson to investigate angles created by secant lines that intersect at a point exterior to the circle....

What does it mean for a quadrilateral to be cyclic? Mathematicians first learn what it means for a quadrilateral to be cyclic. They then investigate angle measures and area in such a quadrilateral.

Proving a trig identity might just be easier than proving your own identity at the airport. Learners first investigate a table of values to determine and prove the addition formulas for sine and cosine. They then use this result to...

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...

How hard can it be to split something in half? Learners investigate how previously learned concepts from angle bisectors can be used to develop ways to construct perpendicular bisectors. The resource also covers constructing a...

Are you rooting for your high schoolers to learn about rational exponents? In the third installment of a 35-part module, pupils first learn the meaning of 2^(1/n) by estimating values on the graph of y = 2^x and by using algebraic...

What happens to a function whose graph is translated horizontally? Groups find out as they investigate the effects of addition and subtraction within a function. This nineteenth lesson in a 26-part series focuses on horizontal...

Combine vectors and matrices to describe transformations in space. Class members create visual representations of the addition of ordered pairs to discover the resulting parallelogram. They also examine the graphical representation...

Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...

Investigate the components of vectors and vector addition through geometric representations. Pupils learn the parallelogram rule for adding vectors and demonstrate their understanding graphically. They utilize the correct notation and...

Investigate expected value as a long-run average. The eighth installment of a 21-part module has scholars rolling pairs of dice to determine the average sum. They find aggregate data by working in groups and interpret expected value as...