EngageNY
A Surprising Boost from Geometry
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.
Curated OER
Perfect Squares and Factoring
For this perfect square worksheet, students factor perfect square trinomials and polynomials. They identify trinomials and polynomials that are perfect squares. This one-page worksheet contains 21 problems.
Curated OER
The Difference of Two Squares
Students practice the use of number properties through exploring the difference of two squares, creating an array model for multiplication, and work with decimal numbers. In groups, students explore patterns in an array and determine...
Curated OER
Rational or Irrational
In this rational and irrational numbers learning exercise, 7th graders solve 24 different problems that include defining various rational and irrational numbers and/or expressions. First, they identify whether each given number and/or...
Curated OER
Solving Exponential and Logarithmic Equations
In this exponential and logarithmic equations worksheet, students solve given problems dealing with exponents and logarithms. This two-page worksheet contains 48 problems. Examples are provided.
Curated OER
The Two Number Problem
In this number problem activity, students solve 1 word problem about squaring numbers. Students find two different numbers that are equal when they are squared.
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 worksheet, 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 worksheet contains ten problems.
Curated OER
Addition, Subtraction, and More Multiplication with Radicals: Extra Practice 36
In this math worksheet, young scholars 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, students 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 instructional activity, students solve five quadratic equations by using the quadratic formula. Students also review using the discriminant, solving by factoring, and solving by completing the...
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
Factoring Perfect Squares
In this factoring worksheet, students factor perfect squares. Explanations and examples are provided at the beginning of the worksheet. This two-page worksheet contains ten problems.
Curated OER
Completing the Square
In this polynomial instructional activity, students complete the square of a given problem. Explanations and examples are provided. This two-page instructional activity contains ten problems.
Curated OER
Radicals
In this radicals learning exercise, 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 activity, 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
Pupils apply properties of Pythagorean to solve problems. In this geometry activity, students identify the different parts of a right triangle using ratios. they solve problems using squares and square roots.