Curated OER
Rational Expressions
In this Algebra II worksheet, 11th graders simplify rational algebraic expressions by factoring and cancelling the common factors. The two page worksheet contains instruction, worked examples, and three practice problems. Answers are...
Curated OER
Multiply Integers Customized Worksheets
In this multiplying integers learning exercise, students solve 18 different equations by multiplication. First, they multiply the signed integers by applying the appropriate rules. Then, students multiply the absolute values of each and...
EngageNY
Adding and Subtracting Expressions with Radicals
I can multiply, so why can't I add these radicals? Mathematicians use the distributive property to explain addition of radical expressions. As they learn how to add radicals, they then apply that concept to find the perimeter of polygons.
Curated OER
Rational Expressions
In this rational expressions worksheet, 9th graders solve 10 different problems that include adding and subtracting various fractional expressions. First, they determine the least common denominator for each one. Then, students add the...
Curated OER
Multiplying Polynomials
Help learners study polynomials. They will review how to multiply polynomials either by using the FOIL method if they are multiplying a binomial by another binomial, or by using the distributive property.
Curated OER
Fractions and Rationals
Upper elementary and middle schoolers solve 16 types of problems to include writing fractions to represent shaded portions, writing a mixed number to represent certain points on a number line, and changing equivalent mixed numbers to...
Concord Consortium
Sloppy Student II
Doesn't trying two substitutions prove it is equal? Individuals analyze a given polynomial division problem to determine whether the answer is correct. Classmates continue to determine what values to use that show the answer and the...
Curated OER
Rational Numbers
In this rational numbers learning exercise, 9th graders solve and complete 12 different problems that include multiplying various rational expressions. First, they find the product of two or more numbers, grouping in pairs. Then,...
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 4)
This fourth of twelve units in a series continues the investigation of functions through equations and inequalities. However, the modular nature of the lessons in the section make this an excellent resource for any curriculum covering...
Illustrative Mathematics
Calculating and Rounding Numbers
Mathematicians need to know that not all numbers are rational. We approximate irrational number with rational numbers. That is why a calculator may be misleading. This task give learners an opportunity to see how rounding a number and...
Curated OER
Operations with Positive Fractions and Decimals
Explore the concept of fractions and decimals! In this fractions and decimals lesson, pupils use fraction tiles to express fractions. They play a fraction review basketball game where when a team gets a question correct they get to shoot...
Education Development Center
Word Problem with Rational Numbers—Balancing Bars of Soap
Here's a resource teachers won't want to wash their hands of. Given a task where a full bar of soap is on one side of a balance and 3/4 of a bar of soup and a 3/4-ounce weight is on the other side, young mathematicians must determine the...
Curated OER
Rationalizing Denominators
In this algebra worksheet, students rationalize the denominator by multiplying by the conjugate. There are 15 multiple choice questions.
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Virginia Department of Education
Exponents and Radicals
What is that fraction doing as an exponent? Fun math games prompt learners to practice evaluating radical expressions and expressions containing rational exponents, both in groups and individually.
Charleston School District
Identifying Irrational Numbers
These numbers have some personality! Are they rational or irrational? The lesson examines the definitions of rational and irrational numbers and shows examples of how to identify them.
Curated OER
Rational Fractions
In this rational fractions activity, 9th graders solve 10 different problems that contain using multiplication to solve them. First, they multiply the numerators, then they multiply the denominators in each problem shown. Students also...
Curated OER
Easy Worksheet: Simplifying Radical Expressions 2
In this simplifying radical expressions worksheet, students solve 18 short answer problems. Students multiply and simplify radical expressions involving integers and rational numbers.
Curated OER
Rational Equations
In this rational equations worksheet, 9th graders solve 10 different problems that include various forms of rational equations. First, they determine the least common denominator in each equation. Then, students compare numerators and...
Curated OER
Rational Numbers as Exponents
In this algebra worksheet, students rewrite 3 radical expressions as exponential notation. They change 6 quantities with fraction exponents into equivalent radical expressions. Students write three exponential expressions, eliminating...
Curated OER
Expressions Containing Several Radical Terms
In this algebra worksheet, learners add 5 expressions with radical signs. In 6 problems, students multiply with radicals over parenthesis. The final 4 problems require learners to rationalize the denominator and divide.
Curated OER
Multiply Fractions
Elementary and middle schoolers complete 29 multiplication problems that have fractions and mixed numbers.
EngageNY
Advanced Factoring Strategies for Quadratic Expressions (part 2)
What do you do with a difficult-to-factor quadratic expression? This lesson provides the answer. Pupils learn a grouping strategy to help factor trinomials. When guess and check seems too tedious, this method is the "works every time"...
Curated OER
Arithmetic Operations With Numbers
In this arithmetic operations worksheet, 9th graders identify and solve 48 different problems that include applying Arithmetic operations with various types of numbers. First, they simplify each of the expressions using integer...