Study Guide
Curated OER

Understanding Variables

For Teachers 9th - 10th
Students solve linear equations and identify the unknown. In this algebra lesson, students define a variable and use addition, subtraction, multiplication and division to solve. They change the equation depending on the value of the...
Lesson Plan
Curated OER

Triangles Inscribed in a Circle

For Teachers 9th - 12th Standards
Are you tired of answers without understanding? Learners can give a correct response, but do they really understand the concept? Have young mathematicians think deeper about linear functions, angles, and formulas in algebra....
Lesson Plan
Curated OER

Graphs and Data

For Teachers 7th - 10th
Students investigate poverty using graphs. In this algebra lesson plan, students collect data on the effects of poverty and use different rules to analyze the data. They graph and use the trapezoid rule to interpret the data.
Lesson Plan
Illustrative Mathematics

Delivering the Mail

For Teachers 7th - 9th Standards
A mail truck travels the same amount of miles per day. It will be up to your algebra learners to find an equation for this mailman’s truck. One needs a good understanding of rate of change and the initial value for this model. The...
Lesson Plan
Curated OER

Worksheet 4 - Geometric Mean

For Teachers Higher Ed
In this geometric worksheet, students examine the geometric and algebraic definition of the dot product. They find angles between two curves, determine if two vectors are parallel, and explain conditions on vectors. This one-page...
Lesson Plan
Curated OER

Representation of Quadratic Functions

For Teachers 8th - 10th
Students use a table, graph or equation to represent a quadratic function. In this algebra instructional activity, students model and graph with quadratic function. They become comfortable representing quadratics using...
Activity
Illustrative Mathematics

Zeroes and Factorization of a General Polynomial

For Teachers 10th - 12th Standards
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...
Worksheet
Curated OER

Topic 6.1 - Solving Quadratic Equations by Graphing

For Students 7th - 9th
In this quadratic equation worksheet, students graph each quadratic equation, name the axis of symmetry, name the vertex, and identify the solutions of the equation. There are 12 problems on this page.
Lesson Plan
Curated OER

Mirror Curvature

For Teachers 7th - 9th
Students investigate parabolas as the shape of a telescopic mirror.  In this Algebra I/Algebra II lesson, students explore the relationship between the coefficients of a quadratic function and the shape and position of the parabolic...
Lesson Plan
Curated OER

Telescope #2

For Teachers 8th - 12th
Students investigate parabolas as the shape of a telescopic lens.  In this Algebra I/Algebra II lesson, students explore the relationship between the coefficients of a quadratic function and the shape and position of the parabolic...
Interactive
Curated OER

Quadratic equations

For Students 11th
In this Algebra II worksheet, 11th graders use the quadratic formula to solve quadratic equations.  The interactive lesson contains explanation and worked examples with five practice problems.  Answers are not included. 
Lesson Plan
Curated OER

Functions and Inverses

For Teachers 9th - 12th Standards
Students solve problems identifying the functions and inverses. In this algebra lesson, students identify a one-to-one function, and perform the horizontal line test. They analyze data and graph their results on a graph.
Lesson Plan
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Curated OER

Polynomials: Factors, Roots and Zeroes

For Teachers 9th - 12th Standards
Students factor polynomial equations. In this algebra lesson, students identify the zeros of the equations. They use algebra to rewrite word problems using symbols.
Lesson Plan
Curated OER

Extraneous Solutions

For Teachers 9th - 12th Standards
Students find the roots of quadratic equations. In this algebra lesson, students solve radical equations and identify the positive and negative roots. They graph and analyze their functions.
Lesson Plan
Curated OER

Solving Logarithmic Equations

For Teachers 9th - 12th Standards
High schoolers solve logarithmic equations. They graph and plot logarithmic functions and use algebraic steps and the calculator to simplify and solve the equations.
Lesson Plan
Curated OER

Solving Systems with Row Operations 1

For Teachers 9th - 12th Standards
Students solve systems of equations. In this algebra instructional activity, students use matrices to solve linear equations. They use reduced row echelon-form and scalar multiplier to simplify the matrices completely.
Lesson Plan
Curated OER

Function Composition

For Teachers 9th - 12th Standards
High schoolers solve two functions at once. In this algebra lesson, students add, subtract, multiply and divide composition functions. They use the correct notation and substitution to get their answer.
Lesson Plan
Curated OER

Parabolic Paths

For Teachers 9th - 12th Standards
High schoolers investigate properties of parabolas. For this algebra lesson, students identify the different paths of a parabola. They use the navigator to make observations of the parabola.
Lesson Plan
Curated OER

Quadratic Functions and Stopping Distance

For Teachers 9th - 12th Standards
Students solve quadratic equations. In this algebra activity, students factor and graph quadratic functions. they use the properties of quadratics to calculate the distance.
Lesson Plan
Curated OER

Linear Systems and Calories

For Teachers 9th - 12th Standards
Students define and graph properties of linear equations. For this algebra lesson, students write systems of equations to represent functions. They relate linear equations to the real world.
Lesson Plan
Curated OER

Maximizing Your Efforts

For Teachers 9th - 12th Standards
High schoolers graph systems of equation. In this algebra lesson plan, students find where the lines cross and identify the type of solution. They analyze a graph and write the equation of the line.
Lesson Plan
Curated OER

Matrix Multiplication

For Teachers 9th - 12th Standards
Students solve matrices using multiplication. In this algebra lesson, students identify the properties needed to multiply matrices. They define the terms matrix and dimensions.
Lesson Plan
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Curated OER

Matrix Inverses

For Teachers 9th - 12th Standards
Students solve problems with matrices. In this algebra lesson plan, students find the inverse of a matrix. They calculate the determinant and solve for the identity.
Lesson Plan
Curated OER

Matrix Transformations

For Teachers 9th - 12th Standards
Learners perform reflections of polygons. For this algebra lesson, students use matrices to calculate the reflection across the x and y axis. They also calculate rotation representing 90 and 180 degrees around the origin of the...

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