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Worksheet
Curated OER

The Quadratic Formula

For Students 9th - 10th
In this quadratic formula worksheet, students use the quadratic formula to solve given problems. Examples and explanations are given at the beginning of the worksheet. This one-page worksheet contains 20 problems. Answers are provided...
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Lesson Plan
Curated OER

The football and Braking Distance; Model Data with Quadratic Functions

For Teachers 8th - 10th
Students use the quadratic formula to solve application problems. The first problem relates to the path of a football thrown from the top of the bleachers. Students compute the time it will take the football to reach certain heights. In...
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Lesson Plan
Curated OER

Chapter 5 Solving Problems

For Teachers 9th - 12th
Learners explore the concept of algebra topics. For this algebra topics lesson, students solve linear and quadratic equations. Learners solve systems and factor equations. Students practice problems involving perfect square trinomials...
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Lesson Plan
Curated OER

Factoring Quadratics

For Teachers 9th - 11th
Students solve quadratics using factoring. In this algebra instructional activity, students rewrite word problems and use properties of quadratic equations to solve.
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Activity
5280 Math

Pythagorean Triples

For Teachers 10th - 12th
From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...
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Worksheet
Curated OER

Graphs of Quadratic Equations

For Students 9th
In this graphs of quadratic equations learning exercise, 9th graders solve and complete 9 different types of problems. First, they find the x- and y-intercept of each equation by using the quadratic formula. Then, students find the...
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Lesson Plan
Curated OER

Is Your Square Complete?

For Teachers 9th - 12th
Students practice solving quadratic equations using a form called Complete the Square.
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Assessment
Inside Mathematics

Sorting Functions

For Teachers 9th - 12th Standards
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...
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Lesson Plan
Curated OER

Vertex and Factored Form of Quadratic Functions

For Teachers 9th - 12th Standards
Students graph quadratic equations. In this algebra lesson, students solve quadratic equations by factoring. They identify the end behavior of the graph.
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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...
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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...
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Activity
Noyce Foundation

Miles of Tiles

For Students K - 12th Standards
Create number sentences and equations to solve geometric problems. Each activity in the series of five asks young mathematicians to consider different-sized tiles to build structures according to specific criteria. The first activities,...
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Lesson Plan
Curated OER

Graphs and Transformations of Functions

For Teachers 8th - 10th
Is it possible to solve quadratic equations by factoring? It is, and your class will graph quadratic equation and functions too. They perform transformation on their graphs showing increasing and decreasing intervals, domain, and range....
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Lesson Plan
Curated OER

Factoring Trinomials

For Teachers 9th - 12th Standards
Learners factor trinomials using patterns and their TI to graph their results and make predictions through this lesson. This is accomplished by solving quadratic equations through FOIL and algebra tiles.
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Lesson Plan
Illustrative Mathematics

An Integer Identity

For Teachers 8th - 12th Standards
Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...
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Lesson Plan
Curated OER

Fun With Factoring

For Teachers 8th - 10th
Students explore factoring. After discussing quadratic equations, students solve problems through factoring. They perform activities to match quadratic functions to their factored form. Time permitting, students play a concentration...
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Worksheet
Curated OER

Additional Practice Problems with Skills for Quadratic Functions and Equations

For Students 8th - 9th
Challenge your students' graphing and factoring skills with these sets of problems for quadratic functions and equations. Here, students plot the y-intercept and vertex of 7 parabolas. They factor and solve 9 quadratic equations....
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Lesson Plan
Curated OER

Algebra I: Multiplying Polynomials and Factoring

For Teachers 8th - 12th
Students use concrete models (algebra blocks) to demonstrate their processes for solving quadratic equations. They apply the commutative, associative, and distributive properties to simplify algebraic expressions and to solve quadratic...
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Lesson Plan
Curated OER

Exploring Solving Equations

For Teachers 8th - 11th Standards
Put out by Texas Instruments, this lesson involves learners in an activity focused on adding polynomials, solving equations, factoring trinomials, and expanding binomials. A TI-89 calculator is needed to complete this lesson.
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Lesson Plan
Curated OER

Introductory Algebra Chapter 10 Review

For Teachers 6th - 8th
In this math worksheet, students solve the problems for the quadratic equations. They factor the equations and determine the probability of the two solutions.
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Lesson Plan
Curated OER

Model Data with Quadratic Functions

For Teachers 8th - 11th
Students model data using quadratic equations. In this algebra lesson, students simplify and factor quadratic equations. They graph the function using collected data and analyze the parabola.
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Lesson Plan
Curated OER

Solving Equations Reducible to Quadratic: Extra Practice 34

For Teachers 8th - 9th
In this math worksheet, learners solve problems involving radicals in six problems. The other ten problems require students to factor quadratic equations and solve for the given variable. Two problems involve negative exponents.
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Worksheet
Curated OER

Theorems About Roots and Polynomial Equations

For Students 8th - 11th
In this algebra worksheet, students solve polynomial equations using factoring. They identify the roots of the equations. There are 3 questions with an answer key.
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Lesson Plan
Curated OER

Quadratic Formula

For Teachers 8th - 10th
Students explore the use of the quadratic formula. After solving problems using factoring and completing the square, students then use the quadratic formula. They evaluate the discriminate, determine the nature of the roots and...