Investigate exponential growth and decay. A set of six activities has pupils collecting and researching data in a variety of situations involving exponential relationships. They model these situations with exponential functions and solve...

Build a patio from toothpicks and marshmallows to analyze functions! Learners look for patterns in the data as they create different size patios. As they discover patterns, they make connections between the different representations of...

Continue the study of transformations with an examination of horizontal stretches, shrinks, and reflections. Individuals use the same process used in parts one and two of this series to examine horizontal changes. The resource also...

An inquiry-based algebra lesson explores real-world applications of linear functions. Scholars investigate four different situations that can be modeled by linear functions, identifying the rate of change, as well as the...

In this algebra worksheet, high schoolers state the domain and range of various functions and equations. There are five questions and some are multiple choice questions.

Some things are hard to resist. Small collaborative groups build circuits and calculate the voltage using Ohm's Law. Budding engineers explore the connection between the voltage across different resistors and linear...

Class members create a table of the number of chords that can be drawn given the number of points on a circle. Pupils analyze the data created, find a function to fit to it, and use the function to make further predictions.

The scientific issue of carbon-14 dating and exponential decay gets a statistics-based treatment in this problem. The class starts with a basic investigation of carbon content, but then branches out to questions of accuracy and...

Ramp up using trigonometric ratios. After receiving a request to check school ramps to verify they meet ADA requirements, groups calculate the angle of the incline on ramps on campus. They report their findings via a letter to the...

Just how many toothpicks does the pattern take? After watching a video of someone building a pattern with toothpicks, groups create methods to find the number of toothpicks needed to accomplish that task. Groups either use explicit...

Build up a polynomial. Learners use printed cards to create polynomials. Using a graphing utility, pupils make comparisons between the polynomials they built. To further cement the concept, they build upon their algebraic vocabulary as...

Consider the relationship between side length and area as an input-output function. Scholars create input-output tables for the area of squares to determine an equation in the first installment of a three-part unit. Ditto for the area of...

Ninth graders investigate the functional relationship of different environmental phenomena. In this math lesson, 9th graders create models of various natural disasters. They use logarithmic and exponential functions to interpret...

In this math worksheet, students write 8 equations of the axis of symmetry and find the coordinates of each quadratic function. Students graph 4 of the equations and state if the vertex is maximum or minimum.

Students examine functions and function notation. They use computer activities to discover how to graph functions, and conduct a vertical line test. Students describe spatial relationships using coordinate geometry.

Students explore functions, function rules, and data tables. They explore terms of linear functions. Students use computers to analyze the functions. Students write short sentences to explain data tables and simple algebraic expressions.

Learners differentiate between a relation and a function. In this algebra lesson, students identify a pair of coordinates as being a relation or a function. They analyze graphs for function as they solve word problems.

Students explore quadratic functions. In this function family worksheet, students examine the quadratic function and the family of functions. They identify the affects of the shape of the parabola and its position on the coordinate...

Students explain functions.  In this function lesson plan, students solve functions.  Groups of students develop strategies to perform operations with functions.  They write test questions using functions which include all...

Learners complete an activity, included, of the information on asymptotes and intercepts. They also solve and complete eight questions on graphing rational functions, file included. Finally, pupils summarize vertical asymptotes,...

In this quadratic function worksheet, learners solve and graph quadratic functions. Functions contain both positive and negative integers, fractions, and perfect squares. Graph paper is located below each equation. There are 36...

Students solve quadratic functions. In this solving quadratic functions instructional activity, students determine the height of an object at a given time. Students determine the time at which an object hits the ground. Students answer...

In this function worksheet, students use given functions to determine the rate at which people enter and exit an amusement park. They compute the number of dollars collected at a specified time and predict when the number of people in...

Students examine linear equations. In this functions and algebra lesson, students write equations in the slope-intercept form. They enter data in a graphing calculator, examine tables, and write linear equations to match the data.