In this Khan Academy activity, students will determine the which form of a quadratic function will reveal a feature most quickly.

For this task, students view images of containers and imagine them placed under a steady stream of water. Students determine what the graphs of the containers would look like when plotting the height of the water level against the volume of water as the containers fill up.

The purpose of this task is to encourage students to think critically about both the algebraic and graphical interpretation of systems of linear equations. They are expected to take what they know about solving systems of linear equations, and then reverse the usual process. This also serves as a good opportunity to ensure that students understand the difference between a single equation and a system where we consider two equations together, and in particular the phrase "solution to a system of equations."

This video finds the zeros, the vertex, & the line of symmetry of quadratic functions given in vertex form, factored form, & standard form.

This lesson demonstrates graphing two lines on a coordinate plane and determining the point where two lines intersect.

The purpose of this task is to introduce the idea of the domain of a function by linking it to the evaluation of an expression defining the function. By thinking through the evaluation step by step, students isolate the exact point where a given input results in an undefined output.

Different forms of quadratic functions reveal different features of those functions. Here, students will see how Sal rewrites f(x)=x^2-5x+6 in factored form to reveal its zeros and in vertex form to reveal its vertex.

In this Khan Academy activity, students will determine the domain of a function in a word problem.

In this Khan Academy activity, students will practice determining what value should be inputted into a function to get the given output.

In this Khan Academy activity, students will practice finding the input value for a function from their graph.

Entire unit on functions and how to determine values of range when given domain.

In this Khan Academy activity, students will practice writing a formula for a function in terms of a given variable.

In this resource, students will determine if a relationship is a function and compare their rate of change and initial value.

Guided notes for lesson on how slope and rate of change are related

In this lesson students make connections between representations, clear parentheses, simplify, factorize, and use the arithmetic of polynomials in a purposive context.

Students will compare patterns of arithmetic and geometric sequences, and then use the geometric sequence formula to solve practice problems.

Students find common ratios of geometric sequences on a spreadsheet and create scatter plots of the sequences to see how each curve is related to the value of the common ratio and/or the sign of the first term of the sequence.