In the activity on this webpage, learners use interactive graphing technology to investigate transformations of graphs. In the first part of the task, they look at the graph of a quadratic function with coordinates of a few points...

Interpreting graphs of functions is addressed in a short worksheet. Distance as a function of time is sketched on a graph, and a few quick questions ask about their meaning. This would make a good short assessment, or a nice worksheet to...

Pupils explore the many representations of linear functions by completing a matching activity to connect the multiple representations of a function. They then reinforce the connection as individuals create the different representations...

Through exploration of linear programming through graphs and equations of inequalities, students relate linear programming to real life scenarios, such as business. Graphing and shading is also part of this exercise.

Your learners can approach this task algebraically, geometrically, or both. They analyze the building of a linear function given two points and expand the concrete approach to the abstract when they are asked to find the general form of...

How long will it take to save up for a car? Classmates use linear and exponential models to see how money received during a Quinceanera will grow over time.

Explore scientific notation in this mathematics lesson. Young mathematicians explore multiple representations of large number in scientific notation through the use of models, visual representation and expanded form. The lesson provided...

This algebra worksheet reviews writing polynomials in standard form from factored form, looks at the graphs of polynomials of degree higher than two, and identifies the zeros of polynomials using the Factor Theorem and Fundamental...

Students investigate topology. In this Applied Science lesson plan students explore higher, more abstract mathematics using tangles. Students make topologically related shapes.

Explore the difference between stochastic and deterministic modeling through programming. First have the class write algorithms for relatively simple tasks using pseudocode. Use the Python 2.7 program app to simulate Mendel's Pea Pod...

Many problems in life have more than one possible solution, and the same is true for advanced mathematics. Scholars solve seven problems that all have at least two solutions. Then three higher-level thinking questions challenge them to...

Learners play instruments in math class to learn the interconnectedness between math and music. In this math lesson, students subdivide a piece of music, clapping rhythms and charting rhythm patterns in the song. A guided discussion...

First graders examine the culture of the ancient Gullah people. As a class, they practice saying and writing the days of the week and numbers in Gullah. They are read a Gullah folktale and put the events of the story into the correct...

Enough stuffed crust to go around. Pupils calculate the area and perimeter of a variety of pizza shapes, including rectangular and circular. Individuals design rectangular pizzas with a given area to maximize the amount of crust and do...

Designers in Prague are not diagonally challenged. The mini-assessment provides a complex pattern made from blocks. Individuals use the pattern to find the area and perimeter of the design. To find the perimeter, they use the Pythagorean...

Identify triangles by their angle measures and side lengths by looking at and measuring angle measures and side lengths. Use Cabri Jr. to construct various triangles, then manipulate the construction to create the 6 types of triangles,...

Scatter plots tell a story about the data — you just need to be able to read it! Building from the previous lesson in the series where learners created scatter plots, they now learn how to find associations in those scatter plots....

Provide students with the skill for how to examine algebraic and graphical approaches to solving radical equations. Learners solve various radical equations involving square root and cube root expressions. They first solve...

Review the multiple methods of solving quadratic equations through an analysis of the discriminant. Scholars use the discriminant to determine the best solution method and then solve various equations. As a challenge, learners build...

Boxes and cartons of pencils are a natural, real-world example for understanding bundles of ten and their relationship to a hundred. When you have many cartons, you can discuss place value, and how to represent multiple hundreds.  

Your middle schoolers will show what they know with their bodies when they become the coordinate plane in this conceptual development unit. Starting with the characteristics of the coordinate plane, learners develop their skills by...

Connect the tortoise and the hare fable to mathematics. Learners first identify key terms related to distance, rate, and time. They then solve distance/rate/time problems using different representations.

Budding mathematicians graph polynomial functions and examine their zero and y-intercepts. They analyze how the zero and y-intercepts of the numerator and denominator affect the graph of a rational function. Several great additional...

In this combinations worksheet, students determine the number of combinations in a given situation. They explore sets and determine if the relation is reflexive, symmetric or transitive. This one-page worksheet contains seven problems.