Worksheet
Curated OER

Word Problems

For Students 10th - 11th
In this algebra worksheet, students solve word problems using algebra. They factor using the quadratic formula and complete the square. There are 4 problems with an answer key.
Worksheet
Curated OER

Area and Volume

For Students 10th
In this area and volume worksheet, 10th graders solve and complete 6 different types of problems. First, they find the numbers if the product of one of the numbers with the square of the other number is to be as large as possible. Then,...
Worksheet
Curated OER

Further Differentiation

For Students 11th - Higher Ed
In this further differentiation worksheet, students solve and complete 7 various types of problems. First, they sketch the graph of each equation using a stationary point. Then, students find the stationary points of each and describe...
Worksheet
Curated OER

Horizontal parabolas

For Students 9th - 12th
In this horizontal parabola worksheet, students draw the graph for the horizontal parabola given to them. Students complete 10 problems.
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
Curated OER

Maximum and Minimum Values

For Teachers 11th
In this Algebra II worksheet, 11th graders complete the square to write a quadratic equation in Standard form.  Students identify the vertex, sketch the graph and state the maximum or minimum value of the functions.  The one...
Lesson Plan
Curated OER

Storefront Signs

For Teachers 6th - 8th Standards
Learners practice finding the areas and patterns within a square and explore the concept of quadratic functions. They observe and record the area values in a table, plot a graph of Area versus Distance and complete a variety of student...
Lesson Plan
Curated OER

The Doctrine of Signatures

For Teachers 10th - 12th
Young scholars use the graphing calculator and the core equation: y=Ax^2+Bx+C where A = the acceleration of gravity/2, B = the initial velocity, and C = initial height above ground to graph parabolas for Earth and Mars. They experiment...
Worksheet
Curated OER

Academic Algebra II 1st Semester Exam

For Students 9th - 12th
In the semester exam, students solve problems dealing the the discriminant of quadratic equations, systems of equations, linear equations and inequalities. Students also simplify radicals, complete squares, and find the inverse...
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...
Unit Plan
Mathematics Vision Project

Module 7: Structure of Expressions

For Teachers 8th - 10th Standards
The structure of an expression is a descriptive feature. Learners build a solid understanding of quadratic functions using an analysis of expressions in different forms. The seventh module in a series of nine includes 12 lessons...
Worksheet
Curated OER

Maximum and Minimum Points

For Students 11th - 12th
In this maximum and minimum points worksheet, students solve and complete 12 various types of problems. First, they find the area of the smallest triangle given the point of intersection. Then, students find the volume of a box that has...
Activity
Illustrative Mathematics

Which Function?

For Teachers 8th - 12th Standards
Learners are given a graph of a parabola on a coordinate system, but intercepts and vertex are not labeled. The task is to analyze eight given quadratic functions and determine which ones might possibly be represented by the graph. The...
Lesson Plan
Curated OER

Quadratic Rules and Graphs

For Teachers 9th - 11th
Students 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.
Worksheet
Curated OER

Don't Fence Me In: Prisms

For Students 9th - 12th
For this prism worksheet students explore the best way to divide a rectangular region into four areas using parallel lines.  This one-page worksheet contains 1 problem.  The answer is provided.
Lesson Plan
Curated OER

Quadratics: Polynomial Form

For Teachers 9th - 12th
Students determine how to use the polynomial form of a quadratic equation to find the location of the vertex on a graph. They determine how changes in the coefficients in a quadratic function affect its vertex on a graph. Students find...
Lesson Plan
Curated OER

Pyrotechnics

For Teachers 3rd - 6th
Learners discuss pyrotechnics and what they have noticed about their height and speed. They think about the path which fireworks follow which is a parabola. They follow multiplication patterns to determine the Zero Product Property and...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Completing the Square

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson covers completing the square when the leading coefficient is not equal to one.
Activity
Cool Math

Coolmath: Graphing by Completing the Square Intro

For Students 6th - 9th Standards
This algebra lesson introduces how to complete the square in a parabola.
Activity
Cool Math

Coolmath: Graphing by Completing the Square Freaky Things That Can Happen

For Students 6th - 9th
This algebra lesson shows how to deal with different types of things that can happen when you are completing the square.
Activity
Cool Math

Coolmath: Graphing by Completing the Square How

For Students 6th - 8th
Explore and understand graphing by completing the square.
Activity
Purple Math

Purplemath: Completing the Square: Finding the Vertex

For Students 9th - 10th Standards
Demonstrates step-by-step how to complete the square to find the vertex of a parabola. Thorough descriptions of each problem.
Whiteboard
ClassFlow

Class Flow: Solve by Completing the Square

For Teachers 9th - 10th Standards
[Free Registration/Login Required] This flipchart explores the steps for solving quadratics by completing the square.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Factor Polynomials Using Special Products

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson covers factoring perfect square trinomials and the difference of squares.

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