Curated OER
Quadratic Equations and Binomial Square Theorem
Students factor quadratic equations. In this algebra lesson, students apply the binomial square theorem to solve quadratics. They complete the square and use the complex number system to solve for the roots.
Math About
Introduction to Complex Numbers
In this complex number activity, students explore the properties of imaginary numbers to find the square roots of negative numbers. Explanations and examples are given prior to the exercise. This two-page activity contains ten problems.
Curated OER
Addition, Subtraction, and More Multiplication with Radicals: Extra Practice 36
For this math worksheet, students use the distributive property to complete computation with radicals. Students multiply pairs of binomials that have the square root sign in each pair.
Illustrative Mathematics
Building a General Quadratic Function
Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...
Mathematics Assessment Project
Representing Quadratic Functions Graphically
Sometimes being different is an advantage. An engaging activity has scholars match cards with quadratic functions in various forms. Along the way, they learn about how each form highlights key features of quadratic functions.
Curated OER
Solving Quadratic Equations
In this ways to solve quadratic equations worksheet, learners solve 19 equations using five different methods, then solve four more using the method of their choice.
Curated OER
The Complex Numbers
In this algebra worksheet, students solve 16 problems involving imaginary numbers. In the first three, students find the square root of 3 negative numbers in terms of i. Nine problems involve addition, subtraction, multiplication and...
Mathematics Assessment Project
The Number System
Count this assessment in the "use" pile. Middle schoolers solve a set of five problems in the seventh and eighth grade number system domains. All problems are in pure mathematics with no applications.
Curated OER
Make Up Test on Solving Quadratics
In this solving quadratics instructional activity, 10th graders write radicals in the simplest form. They solve quadratics by factoring, completing the square, and through the use of the quadratic formula. Students determine the vertex...
Curated OER
Word Problems
In this algebra worksheet, learners solve word problems using algebra. They factor using the quadratic formula and complete the square. There are 4 problems with an answer key.
Curated OER
Solve Five Quadratic Equations Using the Quadratic Formula
In this solving quadratic equations worksheet, students solve five quadratic equations by using the quadratic formula. Students also review using the discriminant, solving by factoring, and solving by completing the square. ...
Curated OER
Notes to Quadratic Equations
In this quadratic equations activity, students read notes about graphing, factoring, square roots, completing the square, and the quadratic formula. Students read 2 1/2 pages of notes.
Curated OER
Completing the Square
In this polynomial worksheet, students complete the square of a given problem. Explanations and examples are provided. This two-page worksheet contains ten problems.
Curated OER
Factoring Perfect Squares
In this factoring worksheet, learners factor perfect squares. Explanations and examples are provided at the beginning of the worksheet. This two-page worksheet contains ten problems.
Curated OER
Radicals
In this radicals instructional activity, 9th graders solve and complete 16 different problems that include various radical expressions. First, they simplify each radical expression. Then, students use the Pythagorean Theorem to find each...
Del Mar College
Quick Reference Card
A neat and organized formula handout makes the circle go round, doesn't it? Full of higher algebra topics, formulas and rules, graphs and definitions—there is a way to support everyone in Algebra II or Pre-Calculus.
Curated OER
Functions and Fraction Combination
In this algebra worksheet, 11th graders factor polynomials and find the roots of the equations. They write the rules representing the equation and how to solve it. There are 9 questions.
Curated OER
Pythagorean Theorem
Young scholars apply properties of Pythagorean to solve problems. In this geometry lesson, students identify the different parts of a right triangle using ratios. they solve problems using squares and square roots.
Curated OER
CSI Investigation
Students solve real life situation using the Pythagorean Theorem. For this geometry lesson, students calculate the length, midpoint and slope of segments. They solve word problems using properties of square roots.
Alabama Learning Exchange
As If Numbers Weren't Complex Enough Already!
The class explores the concept of complex numbers on a website to generate their own Mandelbrot sets. They will practice performing operations with complex numbers and then to get a visual understanding, graph the absolute value of a...
EngageNY
Factoring Extended to the Complex Realm
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
Curated OER
Worksheet Chapter 7.1 & 8.1 College Prep Algebra
In this algebra worksheet, students solve equations through substitution and then solve for an unknown. They simplify division equations containing exponents and two variables and solve radical problems. This worksheet contains a...
Curated OER
Parent Functions Reference
In this functions worksheet, students explore the graphs of fifteen parent functions. This worksheet is meant as a reference for students.
Curated OER
Radical Expressions
In this radical expressions instructional activity, 9th graders solve and complete 15 different problems. First, they isolate the radical expression involving the variable. Then, students raise both sides of the equation to the index of...