Linear Functions Teacher Resources

Learners explore the concept of graphing stations.  In this graphing stations instructional activity, students head to various teacher set-up stations involving slope, point-slope, standard form, parallel lines, etc.  Learners...

In this local linearity worksheet, students identify the slope of a line tangent to the graph at a given point. They use linear approximation to estimate values. Students determine the slope of a secant line at a given point. This...

Tenth graders investigate three different sets of data that relate temperature to another variable in the physical world. These illustrate linear, inverse and exponential relationships.

Young scholars collect data and create a graph. In this algebra lesson, students describe functions graphically, algebraically and verbally. They identify functions as being independent and dependent using variables.

Pupils practice plotting functions on the Cartesian coordinate plane, see several categories of functions, including lines and parabolas, and read a graph, answering questions about the situation described by the graph

Students plot functions on the Cartesian coordinate plane. They explore lines and parabolas. Students analyze graphs and answer questions about the information presented on the graph using an online program.

Students investigate motion using a CBL. In this algebra lesson, students collect and graph data on a coordinate plane. They define and identify amplitude and period of conic graphs.

Students investigate patters for area and perimeter. In this Algebra I/Geometry lesson, students explore two different patterns as they write a formula for the nth term of each pattern. Students graph their results and determine if the...

In this discrete least squares worksheet, students use a linear algebra approach to discrete last squares approximation. This two-page worksheet contains approximately 10 problems.

Learners explore the concept of exponential functions. In this exponential functions lesson, students model exponential growth about a high school population using an applet. Learners manipulate the applet to show the effect that a...

Eighth graders extend their learning of graphing linear equations and are introduced to connecting patterns in tables and graphs to represent algebraic representations. They then determine patterns and extrapolate information from these...

Students explore circles.  In this geometry lesson, students explore the relationship between the circumference of a circle, the distance a ball travels, and the number of rotations the ball must make in order to travel a certain...

Students solve and graph functions. In this precalculus lesson, students use piecewise function to relate real life scenarios. They analyze the graphs and identify the vertex and intercepts.

Pupils investigate piecewise functions. In this algebra lesson, students model piecewise functions in the real world. They graph the parts of the functions following the restrictions of the domain.

In this polynomial worksheet, students approximate values of linearly using the tangent line. They use first and second-degree polynomials to find the equation of a line tangent to a graph. Students explore Taylor's Theorem. This...

Students use concrete and pictorial representation of geometric patterns to extend patterns. In this geometric patterns lesson plan, students identify patterns and extend them.

In this numerical analysis instructional activity, students solve systems of non-linear equations. Examples and explanation are provided. This two-page instructional activity contains approximately three problems.

In this linear equation worksheet, students use the iterative method to solve systems of equations. Explanations and examples are provided. This four-page worksheet contains approximately three problems.

Learners are introduced to the notion of a complex number and function iteration in order to motivate the discussion of Julia sets and the Mandelbrot set.

Students learn about the Cartesian coordinate plane, understand the four quadrants of the Cartesian coordinate plane, and plot points on the plane. Students read coordinates for a point from a graph and give the ratio of rise over run...

Pupils determine how to use the polynomial form of a quadratic equation to find the location of the vertex on a graph. They determine how changes in the coefficients in a quadratic function affect its vertex on a graph. Students find...

Students calculate the slope of the equation In this algebra lesson, students graph coordinate pairs of linear equations and identify the relationship between x and y values and slope.  They differentiate between functions and...

Eighth graders examine linear equations by creating graphs from them.  In this graphing lesson, 8th graders read several linear equations and plot them on a graph with the help of their classmates.  Students find the slope of...

Students solve word problems using the correct math symbols. In this algebra lesson, students use the TI calculator to graph their equation and analyze it. They find the line of regression and use to draw conclusion.