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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...
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Lesson Plan
Curated OER

Representation of Quadratic Functions

For Teachers 8th - 10th
Students use a table, graph or equation to represent a quadratic function. For this algebra lesson, students model and graph with quadratic function. They become comfortable representing quadratics using different methods.
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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...
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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.
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Lesson Plan
Curated OER

Mirror Curvature

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

Functions and Inverses

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

Extraneous Solutions

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

Solving Systems with Row Operations 1

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

Function Composition

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

Parabolic Paths

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

Quadratic Functions and Stopping Distance

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

Linear Systems and Calories

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

Maximizing Your Efforts

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

Matrix Multiplication

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

Matrix Inverses

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

Matrix Transformations

For Teachers 9th - 12th Standards
Students perform reflections of polygons. In this algebra activity, 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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Lesson Plan
Curated OER

Areas of Polygons

For Teachers 9th - 12th Standards
Young mathematicians calculate the area of polygons in this algebra lesson. They find the determinant as they calculate the areas for triangles and quadrilaterals. They also use scalar multiplication to find the determinant.
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Lesson Plan
Curated OER

Living on the Edge

For Teachers 9th - 12th Standards
Young scholars calculate the volume of polyhedrons. In this algebra lesson, students are asked to solve a complex problem. They identify the length of the edges and the volume of the shape.
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Lesson Plan
Curated OER

What is Log?

For Teachers 9th - 12th Standards
Young mathematicians differentiate between logs and natural logs in this algebra instructional activity. They solve functions and logarithmic functions. Learners also graph and rewrite the exponential and log functions.
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Lesson Plan
Curated OER

How Many Solutions 2

For Teachers 9th - 12th Standards
Students solve systems of equations. In this algebra activity, students graph lines and identify the point of intersection. They identify the function to see if it is a function.

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