EngageNY
End-of-Module Assessment Task: Grade 7 Module 2
Learners demonstrate their ability to operate with rational numbers through a five-question assessment that includes questions ranging from simple operations with integers to solving two-step equations with rational coefficients.
Virginia Department of Education
Complex Numbers
Build on your class' understanding of real numbers as they begin working with complex numbers. Pupils begin with an exploration of i and the patterns in the powers of i. After developing a definition for i, they...
Curated OER
Simplify Radicals
Learners are introduced to the concept of radicals and how to use them in various situations. They review rational and irrational numbers while simplifying different number sentences. They also practice factoring perfect squares.
Curated OER
Equations With Radical Expressions
Students solve systems of equations with radical expressions. After reading real life situation, they translate the problem into algebraic expressions. As a class, students solve quadratic equations and inequalities by graphing and...
Curated OER
Square Roots
Students differentiate between perfect roots and rational roots. In this algebra lesson, students perform operation using roots. They add, subtract, multiply and divide rational expressions.
Curated OER
Fractional Exponents
In this fractional exponents learning exercise, 9th graders solve 10 different problems that include various types of fractional exponents within them. First, they evaluate each given expression. Then, students determine whether their...
Virginia Tech
Unit Plan: Exponential and Logarithmic Functions
A six-day unit for algebra II on exponential and logarithmic functions builds upon Chapter 12 of Merrill Algebra II with Trigonometry; Applications and Connections. The text provides assistance in the depth of instruction...
EngageNY
A Focus on Square Roots
Pupils learn to solve square root equations and rationalize denominators. Problems include those with extraneous solutions.
Curated OER
Chapter 6 Review Introductory Algebra
In this math worksheet, students find the solutions to the problems that coincide with each Algebra objective. They simplify the expressions.
Curated OER
Order of Operations
Students solve problems using the order of operation. In this algebra instructional activity, students perform order of operation working from inside the parentheses and exponents to multiplication and division in the right order. They...
Curated OER
Asymptotes and Zeros
Learn how to explore rational functions and investigate the graphs rational functions and identify its singularities and asymptotes. Students approximate the solutions to rational equations and inequalities by graphing.
Curated OER
Mixed Expressions and Complex Fractions
Students are introduced to mixed expressions and complex fractions. They work through several problems with the instructor and then complete a worksheet.
Curated OER
Radicals and Rational Exponents
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...
Curated OER
Rational Numbers
In this Algebra I worksheet, 9th graders identify properties from the real number system and use the distributive property to collect simplify expressions with parentheses. The one page interactive worksheet contains five multiple...
EngageNY
Radicals and Conjugates
Make the irrational rational again! Continuing the theme from previous lessons in the series, the lesson relates the polynomial identity difference of squares to conjugates. Learners develop the idea of a conjugate through analysis and...
EngageNY
Irrational Exponents—What are 2^√2 and 2^π?
Extend the concept of exponents to irrational numbers. In the fifth installment of a 35-part module, individuals use calculators and rational exponents to estimate the values of 2^(sqrt(2)) and 2^(pi). The final goal is to show that the...
West Contra Costa Unified School District
Fractional Exponents and Property of Exponents
Don't just use a fraction of this resource ... use it all. Learners first investigate patterns to determine how to deal with fractional exponents. Individuals then evaluate expressions involving fractional exponents.
Curated OER
Interesting Integers and Exciting Equations
An 80-page resource provides four lessons and all associated worksheets to teach middle schoolers about expressions and equations. The lessons are hands-on, using games, "integer chips," a balance and cubes, and cut and paste activities....
EngageNY
Using the Quadratic Formula
What is the connection between the quadratic formula and the types of solutions of a quadratic equation? Guide young mathematicians through this discovery as they use the discriminant to determine the number and types of solutions,...
Concord Consortium
Gravity
Weight is a function of the distance from sea level. Learners explore the many implications of this fact in an inquiry-based task. Given the function, pupils answer questions before manipulating the function to rewrite the distance...
Curated OER
The Irrational Numbers
In this Algebra I/Algebra II worksheet, students identify rational and irrational numbers. The one page worksheet contains a combination of ten multiple choice and free response questions. The answers are included.
Curated OER
The Distributive Property
In this Algebra I instructional activity, 9th graders use the distributive property to simplify algebraic expressions. The one page instructional activity contains two multiple choice problems. Answers are provided.
Curated OER
Reciprocals
Learners factor rational expressions using their reciprocals. In this algebra lesson, students simplify rational equations by factoring the fraction vy its reciprocal. They use the distributive property and solve combining like terms.
Curated OER
Academic Algebra II - 1st Semester Exam
In this solving quadratic equations worksheet, students solve 60 multiple choice and short answer problems. Students complete the square, factor, multiply, and solve quadratic equations.