Prove that an equation in slope-intercept form names only one line. At the beginning, the teacher leads the class through a proof that there is only one line passing through a given point with a given slope using contradiction. The 19th...

In this review worksheet, students prove the intersection of finitely of sets, construct increasing functions, and identify characteristics of an open and closed set. This two-page worksheet contains seven problems.

In this graphs and equations worksheet, students solve and complete 5 various types of problems. First, they complete a table of values for a given quadratic function. Then, students use the graph to find an estimate for the solutions of...

This a fun problem for young geometers to play with while gaining important insight into deductive reasoning. Some will find the answers very quickly, others might take a less direct path, but all will use their knowledge of the sum of...

Use the handout as guided or independent practice in drawing a reflection of a rectangle over a line. Three rectangles are provided for practice in addition to a critical thinking question.

In this pentagram worksheet, learners examine a pentagram and number the intersection of lines.  They number the crosspoints in such a way that the sum of the numbers on each line are equal.  This one-page worksheet contains 1...

Intricate details of a modern technology that many of us take for granted in our phones, computers (and some cars) are laid bare in a short but deeply investigative activity. The math behind a seemingly simple GPS device...

Young mathematicians explore the concept of triangles as they construct altitudes of triangles to find the orthocenter. Learners construct their triangles using Cabri Jr. on their graphing calculators and find that the altitudes of a...

In this compound inequalities worksheet, 9th graders solve and complete 7 different problems that include graphing various inequalities on a number line given. First, they graph the solution set of each compound inequality. Then,...

Pupils find the orthocenter of a triangle. In this geometry instructional activity, students identify where the altitudes meet in a triangle. They use Cabri software to explore acute, obtuse and right triangles.

It's the stairway to learning! Scholars research all aspects of building a staircase. Using information from building codes, they write and graph a system of inequalities to analyze the constraints. The completed project is a scale model...

The Crusades sounds like a glamorous time period in the Middle Ages full of glory—but was it? Scholars find and review the truth of the Crusades' influence on the world through the resource. The study guides, separated individually by...

In this algebra worksheet, students identify the systems of equation as quadratics or linear. They graph their solutions. There are 4 questions with an answer key.

Students investigate the meaning of friendship and how to make friends. In this friendship lesson, students make Venn Diagrams showing the similarities and differences of characters in two stories. They discuss their own circle of friends.

High schoolers organize data from the USA TODAY Snapshot, "Is leisure time really shrinking?" into two scatter plots and determine the quadratic model for each scatter plot. They determine if these graphs intersect and learn the concept...

Eighth graders are introduced to the basic concepts of Geometry and their definitions in Euclidean space. They draw and define the following terms: point, line, and line segment. Students also define the terms colliner and...

Students use the calculator to represent a situation as a table, graph, and equation. They write systems of equations and find solutions to systems of equations. In addition, they explain and justify how they determined their solutions...

Students write systems of equations and find solutions to systems of equations. They explain how they determined their solutions to a system of equations and justify their solutions. In addition, they write equations in standard form and...

For this Algebra/Algebra II worksheet, students find and graph the solution of an inequality.  The two page worksheet contains a combination of eleven multiple choice and free response problems.  Answers are provided. 

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....

Tell the story of the math. Given a graph of a linear system, learners write a story that models the graph before crafting the corresponding functions. Graphs intersect at an estimated point, allowing for different variations in the...

Can art play tricks on your eyes, and can a still painting really appear to vibrate? The second lesson in a four-part series discusses the way our beautiful brains translate visual images. It highlights the style of optical art and...

Before digital microscopes, scientists hired artists to draw the things visible in the microscope. Through training in neuroscience and art, Cajal revolutionized the way we view the beautiful brain. The third lesson in a series of four...

In the first installment of a 21-part module, scholars build on previous understandings of probability to develop the multiplication rule for independent and dependent events. They use the rule to solve contextual problems.