Worksheet
Curated OER

Math 32 Worksheet: Quadratic Equations

For Students 9th - 12th
In this quadratic equations worksheet, students solve 12 short-answer problems.  Students find real and irrational solutions to given functions.  Students raise irrational numbers to irrational powers.
Lesson Plan
Curated OER

Solving Nonlinear Systems of Equations

For Teachers 10th - 11th
In this system of equations worksheet, students solve nonlinear systems of equations using the substitution method. An example of how to solve is given prior to the assignment. Twenty problems are available on this two-page worksheet.
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.
Lesson Plan
Curated OER

Composition of Functions

For Teachers 9th - 12th
Students solve problems using the composition of functions. In this algebra lesson, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using addition, subtraction,...
Worksheet
Curated OER

Inverse of a Function

For Students 10th
In this inverse of function instructional activity, 10th graders solve and graph 10 different problems that include graphically represented inverse functions. First, they solve each of the problems involving graphs and their inverses....
Lesson Plan
Curated OER

Elementary Algebra Study Guide

For Teachers 8th - 11th
Middle and high schoolers solve problems involving linear equations, inequalities, quadratics, radicals, systems of equations, exponents, and polynomials. Many of the problems encompass a review of Algebra I. This 10-page worksheet...
Worksheet
Curated OER

Solving Linear Equations

For Students 9th - 12th Standards
Use this activity for practice or review solving linear equations in one variable. Problems range from multiple-step problems involving parentheses and combining like terms, to word problems, to equations with no solution or infinitely...
Worksheet
Curated OER

Solving Absolute Value Inequalities

For Students 9th - 12th Standards
Start this activity with a brief description of how to solve absolute value inequalities. A space is provided to help classify the inequalities into types (greater than, less than, or equal to) and for learners to show how to graph their...
Lesson Plan
Curated OER

Quadratic Equations

For Teachers 10th
Tenth graders review algebraic methods of solving quadratic equations. Students discuss several methods of solving quadratic equations. They practice factoring and finding the roots of an equation for solving. A calculator is used to...
Lesson Plan
EngageNY

Modeling a Context from a Verbal Description (part 1)

For Teachers 9th - 10th Standards
When complicated algebraic expressions are involved, it is sometimes easier to use a table or graph to model a context. The exercises in this lesson are designed for business applications and require complex algebraic...
Lesson Plan
Curated OER

System of Two Quadratic Inequalities

For Teachers 10th - Higher Ed
Young scholars graph a quadratic inequality and describe its solution set. They solve a system of quadratic equalities graphically and symbolically and as related to a real-world context.
Lesson Plan
Curated OER

Representing Quadratics

For Teachers 8th - 11th
Students represent quadratic equations using different methods. In this algebra instructional activity, students solve quadratics using substitution, elimination and graphing. They relate quadratics to the real world.
Lesson Plan
Curated OER

Quadratic Rules and Graphs

For Teachers 9th - 11th
Learners identify the properties of quadratic equations. In this algebra lesson, students find the vertex and intercepts of a parabola. They factor quadratics and identify the zeros of the equations.
Lesson Plan
Curated OER

Beginning Modeling for Linear and Quadratic Data

For Teachers 8th - 10th
Students create models to represent both linear and quadratic equations.  For this algebra lesson, students collect data from the real world and analyze it. They graph and differentiate between the two types.
Lesson Plan
Curated OER

Leap Into Exponential Functions

For Teachers 8th - 10th
Students use properties of exponents to solve equations. In this algebra lesson, students add, subtract, multiply and divide exponential functions. They graph and differentiate between exponential growth and decay.
Unit Plan
2
2
EngageNY

Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Lesson Plan
West Contra Costa Unified School District

Investigating the Discriminant

For Teachers 9th - 12th Standards
When is finding the discriminant enough? Using the quadratic formula helps find solutions to quadratic equations, but there are times when just using the discriminant is appropriate. Use this algebra II lesson to help classes see...
Lesson Plan
Curated OER

Application of Completing the Square

For Teachers 9th - 12th Standards
A TI technology activity that helps learners to recognize and use the characteristic of a perfect square quadratic to complete the square. Additionally, they apply their knowledge to solve real-world problems.
Lesson Plan
Virginia Department of Education

Logarithmic Modeling

For Teachers 10th - 12th
Explore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...
Activity
Illustrative Mathematics

Springboard Dive

For Teachers 8th - 12th Standards
Dive into this problem that illustrates a real-world application of the quadratic formula. Learners are given an equation that represents the height of a diver above the water t seconds after leaving the springboard. The task is to...
Worksheet
Curated OER

Algebraic Solution of a Quadratic, Linear System

For Students 8th - 10th
In this algebra worksheet, students solve systems of equations using linear and quadratics. They graph their solutions on a coordinate plane. There are 5 questions with an answer key.
Worksheet
Curated OER

Linear - Quadratic Systems

For Students 10th - 11th
In this quadratic system worksheet, students solve systems of linear equations. This one-page worksheet contains two story problems where students write their own system of equations and then solve. The remaining eight problems are...
Lesson Plan
Curated OER

Iterating the Function over Real Numbers

For Teachers 8th - 10th
Students use a spreadsheet to find sequences of numbers. For this algebra lesson, students find the values for c of a quadratic written in standard form. They relate the behavior of the graph to the values of the equation.
Worksheet
Curated OER

United States Population: Using Quadratic Models

For Students 6th - 12th
In this United States population worksheet, learners solve word problems about the United States population by using the quadratic formula. Students complete 6 problems.