How many points are needed to define a unique parabola? Individuals work with data to answer this question. Ultimately, they determine the quadratic model when given three points. The concept is applied to data from a dropped...

Learners write an example to show a function statement true and another to show it false in this short task that addresses some common student misconceptions. 

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...

This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), students generate the graphs of f(x + c), f(x) + c, and  cf(x) for...

Interpreting graphs of functions is addressed in a short instructional activity. 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...

Deep mathematical thinking is found with just a coin and a number line. Combining computing some probabilities in a discrete situation, and the interpretation of a function, this simple task gives learners a lot to think about on...

Deep mathematical thinking is found with just a coin and a number line. Combining computing some probabilities in a discrete situation, and the interpretation of a function, this simple task gives learners a lot to think about on...

Relevance is key! The resource applies quadratic modeling by incorporating application of physics and business. Pupils work through scenarios of projectile motion and revenue/profit relationships. By using the key features of the graph,...

Turn your algebra learners into meteorologists. High schoolers are given three graphs that contain information about the weather in Santa Rosa, California during the month of February, 2012. Graph one shows temperatures, graph two...

Your Algebra learners will explore what equations are functions or not functions and how to alter the domain to produce a possibility for the relations being a function with a limitted domain.

Use an activity to illustrate the different forms of a quadratic function. Here, the task asks learners to use composition of given functions to build an explicit function. The process emphasizes the impact of the order of...

Learners rewrite a general quadratic function by completing the square to see a new form of the function that more easily identifies the x-coordinate of the vertex and the two roots of the function.

Algebra learners explore, analyze and build an exponential equation given its form and a specific point that exists on the function in this task. The last question asks learners to apply their ideas to an exponential equation given two...

There are four fundamental theorems of mathematics: arithmetic, algebra, calculus, and linear algebra listed here. Each one is described on this poster or handout. The challenge for a student of math is to figure out why they are...

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...

But what if the function cannot be inverted? Pupils continue to work with inverses of functions using tables, graphs, and algebraic equations. They restrict the domain of non-invertible functions to make them invertible. Using...

The equations look different, but their graphs are the same. How can that be? This activity leads your mathematicians in an exploration of three different forms of the same quadratic function. After comparing the equations, their graphs,...

Your learners will explore linear functions by analyzing a graph of the linear equations.Then learners analyze through calculating f(x+P) and g(x+p)

Middle schoolers use the popular game of Jeopardy to explore different mathematical concepts. They are highly engaged with the use of technology for this lesson. They function using higher-order thinking skills in order to create their...

Explore mathematics by analyzing images. As they view pictures on the SMART Board, individuals must write corresponding algebraic equations. They utilize models to visualize the math expressions.

How long does it take alcohol to leave your system? Individuals explore this question by examining a polynomial function. They draw conclusions by analyzing the key features of the given polynomial function.

In this function worksheet, students solve functions with a given input value. Afterward, they graph the function. This one-page worksheet contains nine problems.

In this problem solving worksheet, 6th graders determine if 4 functions are exponential growth or decay, sketch 4 graphs and compare 2 sets of functions. Students write the rule, linear or exponential, for 4 tables.

Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...