In this algebraic expression worksheet, students evaluate algebraic expressions involving the addition, subtraction, division, and multiplication of negative and positive integers. Students identify mathematical properties and find the...

For this algebra worksheet, students combine like terms and solve for the given variable on 12 linear equations. Ten of the equations require students to use the distributive property.

In this algebra worksheet, students use the distributive property to remove parenthesis. They combine like terms to simplify the expressions in 31 problems.

There are many ways to work through a multiplication problem. Using an area model, kids complete several worksheets with different types of multiplication problems, including multiplying by ten, and explain how the new strategies differ...

Reinforce the concept of probability with a series of lessons highlighting the idea of likelihood, probability formulas, relative frequency, outcomes, and event predictions. The collection is made up of four lessons offering informative...

Working with imaginary numbers — this is where it gets complex! After exploring the graph of complex numbers, learners simplify them using addition, subtraction, and multiplication. 

Are you searching for a purpose for geometric constructions? Use an engaging approach to explore dilations. Scholars create dilations using a construction method of their choice. As they build their constructed dilation, they...

Most adults dread April 15 — tax day! Tax preparation can be intimidating even for adults. Build confidence by leading individuals through the process and then give them a scenario to practice. The exercise uses tax vocabulary to give...

How can you prove it? Guide classes through an exploration of two possible triangle congruence criteria: AAS and HL. Learners connect this criteria to those previous learned and also explore criteria that does not work. The lesson...

Review the principles of scaling areas and draws a comparison to scaling volumes with a third dimensional measurement. The exercises continue with what happens to the volume if the dimensions are not multiplied by the same...

Is that drawn to scale? Capture the artistry of geometry using the ratio method to create dilations. Mathematicians use a center and ratio to create a scaled drawing. They then use a ruler and protractor to verify measurements. 

Young mathematicians first learn the basics of proving trigonometric identities. They then practice this skill on several examples.

Scientists don't have a ruler long enough to measure to the stars, so they rely on math. Scholars learn to calculate the distance from Earth to a star using the parallax method. They use angle measures from different perspectives to...

High schoolers attempt an assessment task requiring them to find the radii of inscribed and circumscribed circles of a right triangle with given dimensions. They then evaluate provided sample responses to consider how to improve...

Young mathematicians discover trees organize more than just families — they help factor, too. The lesson begins with factor trees and develops slowly to factoring by grouping and special patterns. 

Scholars first learn the definitions of the sine ratio, the cosine ratio, and the tangent ratio. After mastering these definitions, they use the new information to solve triangles.

What's the opposite of multiplying binomials? Learners apply their previous knowledge of multiplying binomials using algebra tiles to factor trinomials. The lesson introduces factoring as a process that uses algebra tiles to...

Help learners understand the benefits of rearranging a formula. Scholars practice rearranging formulas for specific variables. They also analyze formulas to understand one variable's effect on the other. 

Solving a murder is like isolating a variable. Using a video on a murder mystery, the narrator introduces the idea of solving a literal equation for one variable. After solving several equations, the class comes up with a set of...

Eleventh graders investigate logarithms.  In this Algebra II instructional activity, 11th graders explore the properties of logarithms that are used to simplify expression and solve equations.  Students confirm their...

Pupils discover how to recognize tangents and how to use their properties. They investigate and use the properties of angles, arcs, chords, tangents, and secants. Students use two tangents and the properties of similar triangles to...

Students examine a math worksheet and determine how to divide a single triangle into four of equal area. Using geometric principles, they sketch two additional ways to divide into into four equal triangles. To conclude, students...

Students discover the importance of knots to mathematicians in developing scientific theories. In small groups, they examine knots and make obeservations about them. Students discuss the ways to distinguish knots and make lists of...

Students draw diagrams demonstrating how it is possible to two central angles to be congruent and their minor arcs are not congruent. In groups, they illustrate theorems with their constructed circles, create diameters of circles that...