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...
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,...
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.
Willow Tree
Rational vs. Irrational Numbers
Build an understanding of rational numbers and their counterpart irrational numbers. Lead learners through an explanation of rational numbers and the ways they can be expressed. Then introduce them to irrational numbers and make...
Curated OER
Babylonian Mathematics I
Learners examine a Babylonian clay tablet and the mathematics found on it as a catalyst to investigate a variety of mathematical ideas. They work with prime numbers, classify numbers as whole, integer, rational, or irrational and use...
Charleston School District
Comparing and Ordering Irrational Numbers on a Number Line
Estimating the value of numbers is much harder than it sounds! Scholars compare and order the value of numbers presented in different forms including fractions, decimals, roots, integers, and pi. This builds on the previous lessons in...
Curated OER
The Rational Number System
In this rational number system worksheet, learners 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
Worksheet, Chapter 1: College Prep Algebra (Integers, Rational Numbers)
In this algebra worksheet, students evaluate equations, identify the inverse of numbers, translate words into a number sentence, compare expressions, and solve radicals. This six page worksheet contains a variety of 67 problems.
Curated OER
Signed Numbers
In this signed numbers worksheet, 6th graders solve and complete 4 different types of problems. First, they calculate each problem using a number line. Then, students solve each word problem as indicated.
Curated OER
Rational and Irrational Numbers
Here is a rational and irrational numbers learning exercise in which learners identify 10 different expressions related to various types of numbers. They determine whether each expression given is a rational or irrational number.
Illustrative Mathematics
Rational or Irrational?
Is 4 plus the square root of 2 rational or irrational? After your class has gained a basic grasp of rational and irrational numbers, use this worksheet to push them a little further in their understanding. Learners must identify sums and...
Curated OER
Positive and Negative Numbers
Pupils use blocks and markers to illustrate the processes of adding, subtracting, multiplying and dividing integers. In this mathematics lesson, learners use Algebra blocks to demonstrate multiplying polynomials.
Cabrillo College
Elementary Algebra
Hello Algebra! If you're in need of a resource with a books worth of examples and practice problems, this is it. Some topics include linear equations, polynomials and exponents, rational expressions, quadratic equations, and a great...
Los Angeles County Office of Education
California State Standards: Algebra I
Starting a year of Algebra I? This mighty packet practices all of the major topics with different ranges of difficulty. Standards include everything from linear to quadratic to rational expressions. Use it in a variety of ways to...
Curated OER
Square Roots, Number Classification, Ordering & Graphing
Ninth graders identify numbers as rational or irrational. Using calculators estimation, and factoring methods, 9th graders compute the square root of numbers. They graph numbers in sequential order and round numbers integers to the...
Curated OER
Real Number System
Ninth graders discuss the real number system and its' properties. In this algebra lesson, 9th graders discuss rational, irrational, closure, real numbers and the distributive property of algebra. They solve problems using these...
Curated OER
Worksheet Chapter 1, 1.2-1.8 College Prep Algebra
In this algebra worksheet, students complete a variety of basic algebra problems. They compare integers, identify sets of numbers, simplify equations, translate words into numerical expressions, and identify properties. This worksheet...
Mathed Up!
Surds
Young mathematicians learn how to simplify expressions with square roots by watching a video that shows several ways to rewrite expressions involving radicals. They work on questions where they rationalize denominators and expand and...
Curated OER
Discriminating Against the Zero
Students explore the concept of quadratic equations. In this quadratic equations instructional activity, students find the roots or zeros of quadratic equations using the quadratic formula. Students give examples of functions with 2...
Willow Tree
Simplifying Square Roots
The square root of five and five do not have the same value! How many times have you addressed this with math classes? A lesson gives an explanation of a square root and gives examples for simplifying square root expressions,...
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, and...
Curated OER
Do You Have Number Sense?
Seventh graders are grouped according to their ability level with a captain who is elected by the students in that particular group. Students demonstrate their knowledge of rational and irrational numbers by defining them. Students use a...
Curated OER
Worksheet Chapter 1 College Prep Algebra
In this algebra worksheet, students compare integers, translate words to a numerical expression, identify sets of numbers, identify properties, use order of operations, multiply fractions, and solve simple word problems. This 13 page...
Curated OER
Number Theory - Week 12
In this number theory worksheet, students study integers and their properties. They explore the Fibonacci Sequence and approximate irrational numbers. This two-page worksheet contains eight problems.