Scholars identify and continue the numerical pattern for the number of wheels on a train. Using the established pattern and its inverse, they determine whether a number of wheels is possible. Pupils finish...

Here is where algebra learners begin to understand that a function is a rule, and for each input there is exactly one output. The commentary gets bogged down with information about the predator-prey relationship between the fox and...

Algebra learners like this resource because it is easy to understand and it relates to their lives. Whether you are starting a new workout routine, or just climbing the stairs, your heart rate increases and decreases throughout the day....

Collaborative learners will see the geometric addition of functions by graphing the sum of two graphed curves on the same coordinate plane. This task then naturally flows into giving learners the algebraic representation of the curves...

Which deal is best? Learners determine which of two companies has the best deal for a particular number of shirts. They begin by creating a table and equations containing each company's pricing structure....

Help algebra learners relate a real-life function that happens at the Oakland Coliseum every time the Raiders play. The resource states that the revenue of the Oakland Raiders home games is a function of the number of seats sold and the...

An interesting example of a discrete function and how it is applies to the real world. This could easily make a good collaborative instructional activity with an environmental science class. Practice reading a table and drawing a scatter...

Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...

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...

A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...

Thirty at the party won't cost any more than twenty-five. The assessment task provides a scenario for the cost of a party where the initial fee covers a given number of guests. The class determines the cost for specific numbers of guests...

Create a linear equation for a problem when the intercept information is not given. The two-day lesson plan introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...

Through discussions and journaling, classmates determine methods to associate types of functions with data presented in a table. Small groups then work with examples and exercises to refine their methods and find functions that work...

Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...

Your learners will explore the idea that not all functions have real numbers as domain and range values as seen in this real-life context. Secondly, the characteristics required for a function to have an inverse are explored including...

Write exponential functions of the basic form f(x)=a * b squared, either when given a table with two input-output pairs, or when given the graph of the function. Students receive immediate feedback and have the opportunity to try...

Find the input that corresponds to a given function output, using the function's formula. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.

Find all the inputs that correspond to a given function output, using the function's graph. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Given the graph of a step function, find the function's outputs for given specific inputs. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Write equations in point-slope form given two pairs of values, and convert the equation into slope-intercept form. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Practice finding the equation of a line passing through two points. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Find the slope of a line on the coordinate plane. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Evaluate functions for specific inputs given the formula of the function. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.

In this exercise, students practice writing function rules from equations. Students receive immediate feedback and have the opportunity to watch a video, get hints, or try questions repeatedly.