Chapman University
Exact Values Poster
Go to infinity and beyond and see what a repeating decimal actually looks like as it goes on and on and on and on. The poster uses rational numbers, imperfect squares, and the always popular π.
Illustrative Mathematics
Discounted Books
Adolescents love to shop, especially when an item is discounted. Here, shoppers only have a set amount of money to spend. Will they be able to make a purchase with the discount and tax added in? Percent discounts can be calculated...
Illustrative Mathematics
Converting Decimal Representations of Rational Numbers to Fraction Representations
A rational number is a ratio of two integers. Discuss with your class how to convert the rational numbers of repeating decimals to fractions. A good commentary on letting x equal the repeating decimal and multiplying each side of such...
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...
Illustrative Mathematics
Jumping Flea
Mathematics minors consider the magnitude of a jumping flea as he hops from place to place. Through this exercise, they will investigate absolute values, as well as positive and negative rational numbers on a number line. The first page...
Mathematics Assessment Project
Using Positive and Negative Numbers in Context
Measure the temperature of your math class with a temperature-based lesson on adding and subtracting rational numbers. The thermometer serves as a vertical number line for learners as they work together to solve a temperature change...
Illustrative Mathematics
Identifying Rational Numbers
Eight different numbers are listed for mathematics masters to analyze. They simply tell if each number is rational or irrational. They can also explain their reasoning. A simple and straightforward worksheet that is a handy tool for...
Curated OER
Modeling Multiplication and Division of Fractions
Create models to demonstrate multiplication and division of fractions. Using fraction tiles to model fractions, pupils explore fractions on a ruler and use pattern blocks to multiply and divide. They also create number lines with fractions.
Curated OER
Radical Expressions and Rational Numbers as Exponents
In this radical expressions worksheet, young scholars find the function value of given functions. They identify the domain of functions. Students write functions without fractional exponents. This three-page worksheet contains 55 problems.
Curated OER
Regents Exam: Solving Rationals 1
In this rational number worksheet, students add and subtract fractions containing variables. They find common denominators and solve for the unknown. This four-page worksheet contains eighteen problems. Answers are listed on the last...
Curated OER
College Level Study Guide
In this study guide worksheet, students examine and complete questions that are similar to the college Accuplacer College Level Math test. This worksheet includes, but is not limited to, factoring and expanding polynomials, simplifying...
Illustrative Mathematics
Estimating Square Roots
No calculators! Assure your learners that they can find the square root of a large number. All they need are two known squares close by and a table. Come up with an additional practice and your number crunchers will have it mastered in...
Illustrative Mathematics
Comparing Rational and Irrational Number
Algebra learners must know how to use rational numbers to approximate irrationals. This resource asks participants to decide which number is larger without using a calculator. It makes a great exercise to use as a five-minute transition...
Curated OER
Rational Numbers in Lowest Terms
In this rational numbers worksheet, learners write equivalent forms of rational numbers, divide rational numbers, and express them in their lowest terms. This two-page worksheet contains five problems.
Curated OER
Lesson 2 Ordering Numbers
Math wizards begin the lesson by comparing and ordering rational numbers. Using a number line, they discover the relationship between the numbers and practice ordering them in the correct way. They also review proper techniques for...
Curated OER
Algebra Worksheet: Number systems
This worksheet was originally created for a college level algebra class. It does contain some interesting questions about number and quantity that are important for algebra learners to understand. Natural numbers, integers, rational,...
Curated OER
Fractions and Arithmetic
Fifth and sixth graders complete fraction problems involving mixed numbers, word problems, addition of fractions, variables in fractions, and more. They complete five problems.
Curated OER
Algebra I: nth Root and Rational Exponents
This algebra learning exercise contains problems on converting between nth roots and rational exponents for numbers. It also includes problems on simplifying radicals having various indices and rational exponents. It does not include an...
Curated OER
Multiply Integers Customized Worksheets
In this multiplying integers worksheet, learners 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 place...
Curated OER
7th Grade Math Worksheet
For this integers worksheet, 7th graders solve 10 different problems that include various types of integers and graphs. First, they determine the sum of 3 consecutive integers. Then, students find the ratio between 2 areas of similar...
Curated OER
Solving Fractional Equations
For this fractional equation worksheet, students solve fractional equations containing addition and subtraction. This one-page worksheet contains eight problems, with answers.
Curated OER
Math B Regents Questions by Performance Indicator: Rational Numbers
In this rational number worksheet, students add and subtract quantities containing radical expressions. They identify equivalent expressions. This three-page worksheet contains 15 multiple-choice problems. Answers are provided on page...
Curated OER
The Rational Number System
In this rational number system worksheet, students identify rational and irrational numbers. They use a Venn Diagram to place numbers in their correct number set. This five-page worksheet contains approximately 10 problems. Answers are...
Curated OER
The Real Number System
Learners analyze the real number system. They discuss real numbers, rational and irrational numbers, integers, whole numbers, natural numbers and more of the real number in the system. They differentiate between all these numbers.