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.
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.
EngageNY
Properties of Exponents and Radicals
(vegetable)^(1/2) = root vegetable? The fourth installment of a 35-part module has scholars extend properties of exponents to rational exponents to solve problems. Individuals use these properties to rewrite radical expressions in terms...
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...
PBL Pathways
Doctors and Nurses
How many nurses does it take to support one doctor? A project-based activity asks learners to analyze state data to answer this question. Classes create polynomial functions from the data of doctors and nurses over a seven-year period....
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Target A
Don't get irrational about rational exponents. A PowerPoint presentation highlights the sample high school questions from the Smarter Balanced Assessment Consortium (SBAC) Claim 1 Target A item specifications. As one part of a larger...
EngageNY
Mid-Module Assessment Task: Grade 7 Module 2
A seven-question assessment determines how well your learners understand the procedures to add, subtract, multiply, and divide signed rational numbers. Pupils show their understanding through problem-solving situations.
California Education Partners
Least and Greatest
Squares can be magic. Pupils use their knowledge of addition of positive and negative rational numbers to create a 3 X 3 magic square where the sums are 1. Scholars create addition and multiplication expressions with a set of rational...
Curated OER
Rational Fractions
In this rational fractions worksheet, 9th graders solve 10 different problems that include dividing various rational fractions. First, they change the division sign to a multiplication sign and flip the second fraction only. Then,...
Curated OER
Graphing a Rational Function
In this graphing rational functions worksheet, students find the domain, asymptotes, intercepts and graph a given rational function. A grid for the graph is provided.
PBL Pathways
Students and Teachers 2
Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Target B
There are only two options to consider: rational or irrational. Pupils review rational and irrational numbers by answering a set of eight questions provided in a PowerPoint presentation. Part of larger Claim 1 Item Slide Show series, the...
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Target A
Take an irrational approach to numbers with a Smarter Balanced assessment that covers the introduction of irrational numbers. The nine items cover identifying irrational numbers, approximating them with rational numbers, and converting...
Curated OER
Rational Fractions
In this rational fractions worksheet, 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
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
Rational Expressions
In this algebra worksheet, students factor rational expressions. They identify the domain and range of each function. There are 47 questions.
West Contra Costa Unified School District
Polynomial Division
Multiply the ways your scholars can find the quotient with polynomial division. A lesson introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners then...
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 2)
Trying to find a linear transformation is like finding a needle in a haystack. The second lesson in the series of 32 continues to explore the concept of linearity started in the first lesson. The class explores trigonometric, rational,...
EngageNY
The Decimal Expansion of Some Irrational Numbers
Develop a definition of irrational numbers through an exploration of square roots. The 11th lesson in this series of 25 asks scholars to estimate the value of a square root. Learners observe as the estimation extends further and further...
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...
Macquarie University
Factorizing Algebraic Expressions
In this comprehensive worksheet, mathematicians solve and complete various types of problems on factoring and using the quadratic formula. This worksheet also includes the use of factoring to simplify rational expressions. Overall, it...
Scholastic
Study Jams! Order Fractions & Decimals
Going from fraction to decimal and decimal to fraction shouldn't be a chore, but an easy step for young mathematicians to do within problems. This interactive lesson shows how long division can change any fraction to a decimal. Started...
Curated OER
Adding and Subtracting Rational Expressions
In this algebra worksheet, students add and subtract rational expressions using the LCM. They combine like denominators before they add and subtract the expressions. There are 8 questions.
Curated OER
Adding and Subtracting Rational Expressions
In this adding and subtracting rational expressions worksheet, students solve 22 problems with complex denominators. Eight problems have common denominators, for the other 14, students must first multiply to find the common denominator.
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