Lesson Plan
Mathematics Assessment Project

Generalizing Patterns: The Difference of Two Squares

For Teachers 8th Standards
After completing an assessment task where they express numbers as the difference of squares (i.e., 9 = 5^2 – 4^2), class members note any patterns that they see in the problems.
Workbook
1
1
University of Utah

Rational and Irrational Numbers

For Students 8th Standards
Conquer any irrational fears you might have of irrational numbers. As class members investigate how to represent numbers geometrically, they learn about rational and irrational numbers, including approximating and ordering rational...
Worksheet
1
1
Kuta Software

Quadratic Equations with Square Roots

For Students 9th - 12th Standards
There are many ways to solve a quadratic expression. Here is a resource that focuses on solving by square rooting the equation. Straightforward with a full answer key, these problems prepare learners for different types of questions...
Worksheet
Curated OER

Square Roots and Real Numbers

For Students 9th
For this square roots and real numbers worksheet, 9th graders solve and complete 40 different problems that include various sets of numbers. First, they determine the square root of each and round to the nearest hundredth. Then, students...
Lesson Plan
Curated OER

Rational Numbers as Exponents

For Teachers 9th - 10th
In this algebra worksheet, learners rewrite 3 radical expressions as exponential notation. They change 6 quantities with fraction exponents into equivalent radical expressions. Students write three exponential expressions, eliminating...
Lesson Plan
Curated OER

Scoring Guide for the Algebra 2/Trigonometry Test Sampler

For Teachers 9th - 12th
High schoolers take an Algebra II/Trigonometry sample test.  In this Algebra II/Trigonometry sample sample test activity, students take a sample test for Algebra 2/Trigonometry.  High schoolers solve 39 multiple...
Worksheet
Curated OER

Roots and Radical Expressions

For Students 11th
In this Algebra II worksheet, 11th graders simplify radical expressions.  The two page worksheet contains explanation, worked example, and three practice problems.  Answers are not included. 
Lesson Plan
Curated OER

College Prep Algebra Semester Review Worksheet

For Teachers 8th - 11th
For this algebra worksheet, young scholars review the concepts taught in an algebra 1 course. The review includes radical expressions, quadratic equations, scientific notation, rational expressions, factoring and simplifying expressions,...
Lesson Plan
Curated OER

Worksheet Chapter 7 & 8 College Prep Algebra

For Teachers 9th - 12th
In this algebra worksheet, students find the value of given expressions, simplify division equations containing two variables, find the square root, and solve radicals. This worksheet contains 100 problems and contains an answer key.
Organizer
Curated OER

Radicals and Rational Exponents

For Students 9th
In this radicals and rational exponents activity, 9th graders solve and complete 32 various types of problems. First, they write each expression in radical form. Then, students write each expression in exponential form. In addition, they...
Lesson Plan
Curated OER

Radicals: Addition & Subtraction of Complex Numbers

For Teachers 10th - 12th Standards
In this radical worksheet, students simplify complex numbers.  They find the sum and difference of complex numbers.  This two-page worksheet contains 11 multiple-choice problems.  Answers are given on the last page.
Worksheet
Curated OER

Simplifying Radicals

For Students 9th - 11th
In this Algebra I/Algebra II/Geometry worksheet, students simplify numeric expressions involving radicals.    The one page worksheet contains nine multiple choice questions.  Answers are included.
Worksheet
Curated OER

Laws of Exponents, Radicals

For Students 11th
In this Algebra II worksheet, 11th graders solve problems involving the laws of exponents, including fractional exponents, solve radical equations, and graph radical functions.  The ten page worksheet contains fifty-seven...
Lesson Plan
EngageNY

Rational Exponents—What are 2^1/2 and 2^1/3?

For Teachers 9th - 12th Standards
Are you rooting for your high schoolers to learn about rational exponents? In the third installment of a 35-part module, pupils first learn the meaning of 2^(1/n) by estimating values on the graph of y = 2^x and by using algebraic...
Lesson Plan
West Contra Costa Unified School District

Square and Square Roots

For Teachers 7th - 9th
Root for your pupils to learn about roots. Young mathematicians first review the meaning of squares and square roots. They then use this knowledge to simplify square roots of monomials with variables.
Lesson Plan
Curated OER

Solving Radical equations

For Teachers 6th - 8th
In this math worksheet, students practice simplifying the expressions that use radicals. They are careful to follow the order of operations.
Worksheet
Curated OER

Algebra II Test covering Radicals, Complex Numbers, and Finding Roots of Quadratics

For Students 10th - 12th
In this algebra two worksheet, students solve twenty-five problems in test format.  The worksheet covers radicals, complex numbers, and finding roots of quadratics.
Worksheet
Curated OER

Solving Square Root and Other Radical Equations

For Students 11th
In this Algebra II worksheet, 11th graders solve equations involving radical equations.  The worksheet provides an explanation and worked examples.  The two page worksheet contains three problems.  Solutions are not...
Worksheet
Curated OER

Rationalizing Denominators with Radicals

For Students 7th - 8th
In this radicals worksheet, students solve 10 different problems that include rationalizing the denominators in each problem. First, they rationalize the denominator. Then, students write the conjugate for each binomial. In addition,...
Worksheet
Curated OER

Independent Practice: Expressions and Operations

For Students 7th - 9th
In this square root worksheet, learners read and solve the 4 square root problems. One of the problems is a story problem, and the others ask students to determine which of the available options is closest to the value of a specific root.
Worksheet
Curated OER

Rationalize Denominators

For Students 9th - 11th
Solve 10 different problems that include various rational expressions. First, learners rationalize the denominator in each set. Then, they write the conjugate for each binomial and determine the reciprocal. They also write an expression...
Lesson Plan
Curated OER

Semester Review Worksheet: College Prep Algebra

For Teachers 11th - 12th
In this semester review worksheet, students simplify given expressions. They translate word sentences into algebraic expressions, solve equations through substitution, and find the value of a variable in a given equation. This worksheet...
Worksheet
Curated OER

A.13: Algebra 1

For Students 6th - 8th
For this square roots worksheet, students solve an algebra problem involving square roots and then determine which of the options is closest to the correct answer to the problem. There are 8 problems on this page.
Worksheet
Curated OER

Simplifying Expressions

For Students 7th - 8th
In this simplifying expressions learning exercise, students solve and complete 41 various types of problems. First, they simplify each expression and write using exponents. Then, students graph each function and state the domain and...