EngageNY
Applying the Properties of Operations to Multiply and Divide Rational Numbers
Use properties to evaluate several multiplications and divisions. The 16th lesson in a series of 25 demonstrates to scholars how they can utilize properties of operations to evaluate complex numerical expressions involving multiplication...
EngageNY
Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers
Groups write and evaluate expressions for various phone plans and scenarios to find which is the best deal. They then compare different approaches to writing expressions for the same scenario and discuss the concept of equivalent...
EngageNY
Converting Rational Numbers to Decimals Using Long Division
Convert fractions that cannot be written with a denominator that is a power of 10. Pupils use the definition of a fraction and long division to convert fractions to decimals, then discover that some divisions terminate and others...
Curated OER
Real Numbers in the Real World
Delve into the concept of operating on the set of real numbers! In this operating with the set of real numbers lesson, pupils perform order of operations on the set of real numbers using a calculator.
Curated OER
Positive & Negative Numbers
Young mathematicians solve and complete 22 different problems that include using a number line to evaluate. First, they define each of the terms listed. Then, pupils graph each integer on the given number line. They also evaluate each...
Charleston School District
Review Unit 7: Real Numbers
Provide pupils with problems to check their understanding of the concepts within the unit. The seven-part series of lessons covers concepts related to irrational numbers. Learners convert between fractions and decimals, estimate the...
Curated OER
Rational Expressions: Simplifying
This two-day activity will help the class simplifying rational expressions. It also has an emphasis on understanding when a rational expression is undefined. The activity contains powerpoint presentations, worksheets, and answer key.
EngageNY
The Structure of Rational Expressions
Find out when rational expressions are closed. Pupils review adding, subtracting, multiplying, and dividing with rational numbers to make the connections to operations with rational expressions. Using specific examples, learners notice...
Blogger
The Real Number System
Classify numbers into their groups with this graphic organizer for the real number system. The printable provides a space for all the categories, with a separate column for unreal numbers.
Alabama Learning Exchange
Classifying Complex Numbers
Imaginary numbers are a real thing. Scholars learn about complex numbers, real numbers, and imaginary numbers. They classify given numbers as strictly complex, strictly real, or strictly imaginary in an individual or group activity.
Kuta Software
Adding Positive and Negative Numbers
Put your learners to the test and practice adding and subtracting with a variety of different numbers. Integers, decimals, fractions – it's all there to help your learners practice their skills with negative numbers. The first page of...
Curated OER
Addition and Subtraction of Rational Expressions
In this rational expression worksheet, students add and subtract fractional expressions. They completely factor the numerator and denominator. Explanations and examples are provided at the beginning of the document. This two-page...
Curated OER
Worksheet, Chapter 1: College Prep Algebra (Integers, Rational Numbers)
In this algebra instructional activity, students evaluate equations, identify the inverse of numbers, translate words into a number sentence, compare expressions, and solve radicals. This six page instructional activity contains a...
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.
Curated OER
Rational, Irrational and Square Roots
Students identify rational and irrational numbers and their use in mathematical functions. Through demonstration, students discover the difference between rational and irrational numbers and their use. Using estimation skills students...
Curated OER
Algebra I: nth Root and Rational Exponents
This algebra worksheet 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
Multiplying Rational Expressions
In this rational expression worksheet, students simplify rational expressions. They write the product and quotient in lowest terms. This two-page worksheet contains five problems.
EngageNY
Equivalent Rational Expressions
Rational expressions are just fancy fractions! Pupils apply fractions concepts to rational expressions. They find equivalent expressions by simplifying rational expressions using factoring. They include limits to the domain of the...
West Contra Costa Unified School District
Connecting Fractions and Rational Expressions
Teach class members to work with rational expressions using their knowledge of fractions. The lesson plan starts with a warm-up of rational expressions at four different levels of complexity. The different levels continue throughout...
Education Development Center
Sum of Rational and Irrational is Irrational
Sometimes the indirect path is best. Scholars determine whether the sum of a rational number and an irrational number is irrational. Reading a transcript of a conversation between classmates leads to an indirect proof of this concept.
Charleston School District
Pre-Test Unit 7: Real Numbers
Don't be irrational! Use this pre-test to assess your classes' ability to work with all types of real numbers. The lesson asks learners to estimate value, evaluate roots, and order numbers. This begins a series of lessons on the real...
EngageNY
Multiplying and Dividing Rational Expressions
Five out of four people have trouble with fractions! After comparing simplifying fractions to simplifying rational expressions, pupils use the same principles to multiply and divide rational expressions.
Curated OER
The Real Number System: Rational or Irrational
In this real numbers worksheet, high schoolers determine if 14 expressions when simplified are rational or irrational. Students take the square and cube roots of numbers to determine if the result is rational or irrational.
New Mexico State University
Number Rights
You do not have to be whole to be important. Individuals watch a video on the importance of rational numbers on the number line. Scholars use their knowledge to rename numbers on the number line as well as place rationals on a number...
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