Lesson Plan
Curated OER

Maximizing and Minimizing the Area of Rectangles Given a Fixed Perimeter

For Teachers 6th - 9th
Students explore the realms of measurement. In this math lesson plan, students analyze and solve problems in which rectangles with identical perimeters are compared to maximize or minimize area. This lesson can be extended for algebra,...
Lesson Plan
Curated OER

Hyperbolas: Sketching from the Equation

For Teachers 9th - Higher Ed
In this algebra worksheet, students sketch graphs of hyperbolas after solving equations to standard form and interpreting the center, vertices, foci, axis, asymptotes, and eccentricity from the equation. There are 58 questions.
Lesson Plan
EngageNY

Solving Equations with Radicals

For Students 8th Standards
Show learners how to develop a procedure for solving equations using radicals with the fifth lesson of the 25-part module that challenges learners to use properties to solve multi-step quadratic and cubic equations. Individuals round out...
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...
Worksheet
Curated OER

Solving Inequalities

For Students Higher Ed
For this college level algebra worksheet, students solve absolute value and quadratic inequalities.  The two page worksheet contains three problems.  Answers are not provided. 
Lesson Plan
Curated OER

Effects of Parameter Changes

For Teachers 8th - 10th
Students define properties of a quadratic equation. In this algebra lesson, students graph and factor quadratic functions. They write equations for polynomials, given a graph.
Lesson Plan
Curated OER

Find Minimum and Maximum

For Teachers 9th - 12th Standards
Learners engage in a lesson about finding the values of different graphs written in the vertex form. They rewrite each quadratic equation in vertex form while graphing the equation with the visual display of a parabola that matches the...
Worksheet
Curated OER

Properties of a Parabola

For Students 8th - 10th
In this algebra activity, students identify the properties of a parabola. They factor and graph quadratic equations. There are 18 questions.
Lesson Plan
Curated OER

Factoring Trinomials

For Teachers 9th - 11th
Students factor trinomials and quadratics. In this algebra lesson, students solve quadratics when the leading coefficient is one. They use a special factoring pattern to solve the trinomial.
Lesson Plan
Curated OER

Factoring Trinomials

For Teachers 9th - 12th Standards
Have the class factor and solve trinomials of integers in the form x2 + bx + c, where b and c are positive. They relate factoring to area and then follow a specific format to factor their trinomials. Tiles are used to help them...
Worksheet
Curated OER

Factoring Quadratic Expressions

For Students 11th
For this Algebra II worksheet, 11th graders factor quadratic expressions.  The two page worksheet contains explanation of topic, worked examples, and three practice problems.  Answers are not included. 
Lesson Plan
Curated OER

Worksheet 1, Coordinate Graphing

For Teachers 10th - 11th
In this algebra worksheet, pupils determine the quadrant a given point is in. They find the midpoints of two line segments. Students plot points to form a triangle and find the distance between points. Pupils find the area of the...
Worksheet
Curated OER

Transforming Parabolas

For Students 11th
In this Algebra II worksheet, 11th graders examine the affects of changing h and k in the vertex form of the parabola.  The three page worksheet provides explanation of topic, worked examples, and four practice problems. ...
Lesson Plan
Curated OER

Strike a Pose: Modeling in the Real World (There's Nothing to It!)

For Teachers 8th - 12th Standards
Adjust this lesson to fit either beginning or more advanced learners. Build a scatter plot, determine appropriate model (linear, quadratic, exponential), and then extend to evaluate the model with residuals. This problem uses real-world...
Worksheet
Curated OER

Linear Functions

For Students 9th - 11th
In this algebra worksheet, students identify and label functions as linear or not. They find the domain and range of each function. There are 15 multiple choice questions.
Worksheet
Curated OER

Factorize Using Formula

For Students 9th - 11th
In this algebra worksheet, students factor equations using the difference of squares formula. They solve quadratics by factoring. There are 6 questions with an answer key.
Worksheet
Curated OER

Using Proportions

For Students 8th - 12th
In this similarities worksheet, students set up ratios and solve proportions using algebra. All of the equations turn out to be linear with no quadratics to solve. There are 20 questions.  
Lesson Plan
Curated OER

Reading Graphs

For Teachers 7th - 10th
Working independently or in teams, your class practices connecting graphs, formulas and words. This lesson includes a guided discussion about distance vs. time graphs and looking at how velocity changes over time.  
Lesson Plan
EngageNY

A Surprising Boost from Geometry

For Students 10th - 12th Standards
Working with imaginary numbers — this is where it gets complex! After exploring the graph of complex numbers, learners simplify them using addition, subtraction, and multiplication. 
Lesson Plan
EngageNY

The Multiplication of Polynomials

For Students 10th - 12th Standards
If you can multiply multi-digit integers, you can multiply polynomials. Learners use an area model to compare multiplying numbers to multiplying polynomials. They progress to using the distributive property. 
Lesson Plan
1
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EngageNY

Solving Inequalities

For Students 9th - 10th Standards
Do properties of equations hold true for inequalities? Teach solving inequalities through the theme of properties. Your class discovers that the multiplication property of equality doesn't hold true for inequalities when multiplying by a...
Lesson Plan
EngageNY

Overcoming a Second Obstacle in Factoring—What If There Is a Remainder?

For Students 10th - 12th Standards
Looking for an alternative approach to long division? Show your classes how to use factoring in place of long division. Increase their fluency with factoring at the same time!
Lesson Plan
West Contra Costa Unified School District

Conics Introduction and Parabolas

For Teachers 10th - 12th Standards
Where did conic sections get their name? The equation and graph of a parabola are developed from the definition of the conic section. Teacher examples on graphing the equation and writing an equation from the graph round out the plan.
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...