Lesson Plan
Curated OER

Worksheet 6, Graphing Functions

For Teachers 9th - 10th
In this algebra worksheet students graph a given function by completing the square. They analyze a function and tell the axis of symmetry, the intercepts, and vertex. Students identify the maximum or minimum of a graph. Students identify...
Lesson Plan
Curated OER

Finite Differences

For Teachers 9th - 12th Standards
Young mathematicians solve problems with polynomials. As they graph and analyze polynomial functions, learners define constant and finite, and determine the relationship between the constant set of differences and the slope of a linear...
Worksheet
Curated OER

Differentiability and Linear Approximation

For Students Higher Ed
In this linear approximation learning exercise, 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 learning exercise contains four...
Lesson Plan
Curated OER

BC Series 1 - Derivatives

For Teachers 10th - 11th
In this function worksheet, students find the derivatives of a function. They graph each function and determine the interval. This three-page worksheet contains 8 problems.
Worksheet
Curated OER

SOL Review

For Students 10th - 12th
In this SOL worksheet, students solve inequalities, identify equivalent fractions and graph polynomial functions.  They find the geometric means and compute average rates.  This eight-page worksheet contains 20 multiple-choice...
Lesson Plan
Curated OER

Introduction To Functions

For Teachers 8th - 10th
Students define a functions and solve problems using functions. In this algebra lesson, students differentiate functions from non-functions. They differentiate between polynomials of higher degrees.
Lesson Plan
Curated OER

The Unit Circle

For Teachers 9th - 11th
Students relate the trigonometric functions to the coordinates of the unit circle with access to explorelearning.com. They determine the signs of trigonometric functions in each quadrant.
Lesson Plan
Curated OER

Watch Your P' and Q's

For Teachers 9th - 12th Standards
Pupils solve polynomial functions by graphing. They factor rational expressions to find the roots of the equation and apply the rational zero theorem to find the zeros of a polynomial.
Lesson Plan
Curated OER

Parabolas

For Teachers 9th - 12th
High schoolers investigate parabolas and their equations.  In this parabolas and their equations instructional activity, students graph quadratic equations on their graphing calculator.  High schoolers find the axis of symmetry...
Worksheet
Curated OER

Final Exam Review: College Algebra

For Students 11th - Higher Ed
In this final exam review worksheet,s students solve systems of equations, polynomials and factor quadratic equations.  They identify the slope of a line and write linear equations.  Students use Cramer's rule, graphing,...
Lesson Plan
Curated OER

Volumes of Rectangular Prisms

For Teachers 9th - 12th Standards
High schoolers determine the volume of a rectangular prism. They then maximize and minimize the volume given variable side lengths.  Finally, they factor the volume equation to determine the side lengths.
Lesson Plan
Curated OER

Model Data with Quadratic Functions

For Teachers 8th - 11th
Students model data using quadratic equations. In this algebra instructional activity, students simplify and factor quadratic equations. They graph the function using collected data and analyze the parabola.
Assessment
1
1
Inside Mathematics

Quadratic (2009)

For Teachers 9th - 12th Standards
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...
Lesson Plan
Curated OER

Watch Your P's and Q's

For Teachers 9th - 12th Standards
Using your graphing calculator, find all the rational zeroes of a polynomials by using the Rational Zero Theorem. Divide polynomials using the Remainder Theorem and the Factor Theorem and then graph it to find the number of real roots.
Lesson Plan
1
1
Curated OER

Dog Pen Problem

For Teachers 9th - 12th Standards
Teach your class about various approaches to solving the problem of maximizing the area of a rectangle space with a fixed perimeter in the context of a farmer's dog pen. Then, they complete a worksheet independently to summarize the...
Handout
Del Mar College

Finding the Domain

For Students 9th - 12th Standards
Domain to a math teacher makes perfect sense, but it can seem like gibberish to high schoolers. As it is laid out in clear terms, domain is introduced and explained among all types of functions throughout the handout. The first three...
Lesson Plan
Curated OER

Quadratics: Polynomial Form

For Teachers 9th - 12th
Learners determine how changes in the coefficients in a quadratic function affect its graph. They Solve a quadratic equations. Students Determine how to use the equation to determine the intercepts of a quadratic function. They...
Lesson Plan
Curated OER

Quadratics: Polynomial Form

For Teachers 9th - 12th
Learners determine how changes in the coefficients in a quadratic function affect its graph. They determine how to use the equation to determine the intercepts of a quadratic function. Students identify the location of the intercepts...
Lesson Plan
Curated OER

Graphing Polynomials

For Teachers 9th - 11th
Students graph polynomial equations using different methods. In this algebra lesson, students identify the different ways the x and y values relate in a graph. They solve for x by finding the zero's of the polynomials.
Lesson Plan
Curated OER

You Must Still Think Yourself, CAS Can Only Help

For Teachers 9th - Higher Ed Standards
Have the class learn about and make conjectures about a line intersecting a cubic.  In this making conjectures about a line intersecting a cubic lesson, students draw lines that intersect a cubic at three different points. ...
Lesson Plan
Curated OER

Applying Trigonometric Functions To Real Life

For Teachers 9th - 11th
Students examine where trigonometry exists outside the classroom. In this trigonometry lesson, students create trigonometric functions to match the data provided and to solve word problems relating to the real world.
Lesson Plan
Curated OER

The Box Problem

For Teachers 8th - 10th
Students create graphic, algebraic and verbal ideas of functions. In this algebra lesson plan, students graph functions and identify the zeros of the functions. They find the domain and range and classify functions as relation or not.
Lesson Plan
Virginia Department of Education

Factors, Zeros, and Solutions

For Students 9th - 12th Standards
Factors, zeros, and solutions, oh my! Don't let your classes become overwhelmed with the vocabulary. An engaging lesson helps learners make a connection between factors, zeros, and solutions. Pupils explore the relationship between the...
Assessment
EngageNY

Mid-Module Assessment Task - Algebra 1 (module 4)

For Students 9th - 10th Standards
Performance task questions are the most difficult to write. Use this assessment so you don't have to! These questions assess factoring quadratics, modeling with quadratics, and key features of quadratic graphs. All questions require...