Worksheet
Curated OER

Points of Intersection

For Students 8th - 9th
Eighth and ninth graders solve five different problems that include solving two equations. They determine the point of intersection in each of the five pairs of equations given. Pupils define point of intersection as the point where two...
Lesson Plan
Curated OER

Linear Functions: Are You Ready for the REAL World?

For Teachers 10th
students emulate a real world problem and model it with mathematics working in a small group. Observe and facilitate discussion as the groups use various strategies, such as (graphs, brainstorming, tables, and dialogue.
Worksheet
Curated OER

Differentiability and Linear Approximation

For Students Higher Ed
In this linear approximation worksheet, students determine the derivative of a function and explore properties of the error when using a tangent line to approximate a function graph. This two-page worksheet contains four problems.
Lesson Plan
Curated OER

Algebra 2 - Linear Programming

For Teachers 10th - 11th
Pupils read real world problems, determine the variables, and set up the function using algebraic statements. After entering data into the graphing calculator, they display information in the form of graphs and scatter plots. Students...
Worksheet
Curated OER

Hands On: Linear Equations

For Students 5th
In this linear equation worksheet, 5th graders complete the equations, and fill in the function tables, before graphing the equation on the coordinate planes in 4 problems . They use equations with variables to solve 2 problems.
Lesson Plan
Curated OER

Polynomial Functions

For Teachers 11th - 12th
Learners explore polynomial functions.  In this Algebra II lesson, students explore graphs of polynomial functions as classify the functions as linear, quadratic, cubic, or quartic.  Learners determine the regression equation...
Worksheet
Curated OER

Quadratic-Linear Systems 2: Solve Systems of Equations Involving One Linear Equation and One Quadratic Equation Algebraically

For Students 10th - 12th
In this solving systems of quadratic and linear equations, students complete three problems. The first problem asks students to solve a system of two equations. One of the equations is a quadratic and the other is linear. The second two...
Lesson Plan
Curated OER

Graphing Linear Inequalities

For Teachers 8th
Eighth graders extend skills for representing and solving linear equations to linear inequalities. Lesson activities build understanding and skill by plotting ordered pairs of numbers that either satisfy or do not satisfy a given...
Lesson Plan
Curated OER

Functions and the Vertical Line Test

For Teachers 8th - 12th
Students explore the concept of functions. In this function lesson, students determine if the graph is a function by using the vertical line test. Students use an applet to explore the vertical line test on a variety of graphs.
Lesson Plan
Curated OER

Composite Functions

For Teachers 8th - 10th
Young scholars create a poster to explain composite functions. In this composite function worksheet, students explore linear equations and functions. They complete a worksheet and use manipulatives to complete problems.
Lesson Plan
Curated OER

More with Graphing and Intercepts

For Teachers 6th - 8th
In this math worksheet, students graph the equations through recognizing the position of the intercepts. They also create a function table for each.
Worksheet
Curated OER

Chapter 10 - Objective 6.1 Graph

For Students 11th - 12th
In this graphing activity, students solve linear and parabolic equations and graph equations on a coordinate plane. They use the discriminant to determine the number of x-intercepts of a parabola. This one-page activity contains ten...
Worksheet
Curated OER

Differentiability and Linear Approximation

For Students Higher Ed
In this differentiability activity, students write expressions for a tangent line approximation to a graph, determine the limits, and use Taylor's theorem to differentiate given functions. This three-page activity contains a discussion...
Worksheet
Curated OER

Systems of Linear Inequalities #5

For Students 9th - 12th
In this systems of linear inequalities worksheet, students solve 10 multiple choice problems about linear inequalities.  Students determine the maximum and minimum values of systems of linear inequalities.
Lesson Plan
Curated OER

Parent Functions Reference

For Teachers 11th - Higher Ed
In this functions worksheet, learners explore the graphs of fifteen parent functions.  This worksheet is meant as a reference for students.
Worksheet
Curated OER

Senior Analysis: Review Functions and Tangents

For Students 10th - 12th
In this function worksheet, students find the equation of a line tangent to a given function. They identify the derivative of functions, This one-page worksheet contains 11 multi-step problems. Answers are provided on page two of the...
Worksheet
Curated OER

Algebra II Review: Exponential Functions and Logarithms

For Students 9th - 11th
In this Algebra II review:  exponential functions and logarithms worksheet, learners solve 19 problems, including making graphs, simplifying and evaluating.
Worksheet
Curated OER

Limits, Continuity and Local Linearity

For Students Higher Ed
In this continuity instructional activity, students compute limits, identify continuity, compute the rate of change, determine the instantaneous rate, and graph functions. This eight-page instructional activity contains fifteen problems.
Lesson Plan
Curated OER

Constructing and Solving Linear Equations

For Teachers 6th - 9th
Students solve linear equations In this algebra lesson, students create linear equations using integer coefficients greater than one. They graph their solution on a coordinate plane.
Worksheet
Curated OER

Reciprocal Graphs

For Students 9th - 12th
In this graphing worksheet, students graph 8 reciprocal graphs. Students graph the reciprocal of a given graph. Students graph reciprocal cubics, quadratics, linear, circles, and fourth degree functions.
Lesson Plan
Illustrative Mathematics

High School Graduation

For Teachers 7th - 9th Standards
An exercise in finding the approximate time that a name would be called at a graduation. Estimating time may be difficult for some of the class, so this resource would not be a good choice for learning this standard. It does end with a...
Lesson Plan
Curated OER

Off to College

For Teachers 9th - 11th
High schoolers investigate linear, quadratic and exponential equations using the TI calculator. They identify relation and functions using ordered pairs, graph the data, analyze the data, and relate it to real-world situations.
Lesson Plan
Virginia Department of Education

Transformationally Speaking

For Teachers 8th - 10th Standards
Young mathematicians explore transformations of graphs by graphing sets of functions on the same pair of axes. They use their graphs to determine the effect that the values of a and b in y = ax + b have on the graph of y = x.
Lesson Plan
Curated OER

Inequalities 7.3

For Teachers 7th - 8th
Graph inequalities and discuss the difference in their slopes. Learners observe rate of change as they compare linear, quadratic, and cubic functions.

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