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
Rational Numbers
In this rational numbers instructional activity, 9th graders solve and complete 12 different problems by dividing each equation. First, they use the division rules given at the top of the sheet to determine how they are going to solve...
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,...
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 Numbers
In this rational numbers worksheet, 9th graders solve and complete 24 different problems that include dividing various numbers. First, they determine the reciprocal of the second number in each equation. Then, students multiply the first...
Curated OER
Laws of Rational Exponents
Middle schoolers determine the value of rational numbers with fractional exponents. They solve problems containing positive and negative exponents. This one-page instructional activity contains ten problems. The answers are not included.
Curated OER
Formulae
Learners complete a 24 page unit. They solve expressions by plugging in values, and translate words into algebraic equations. Included are: mixed operations, square roots, exponents and negative numbers. This resource provides a good...
EngageNY
Rational Exponents—What are 2^1/2 and 2^1/3?
Are you rooting for your high schoolers to learn about rational exponents? In the third installment of a 35-part module, pupils first learn the meaning of 2^(1/n) by estimating values on the graph of y = 2^x and by using algebraic...
Illustrative Mathematics
Graphing Rational Functions
The slider feature on Desmos excellently shows how graphs change based on different variable values. Learners look at two similar rational functions and compare and discuss what happens when the numbers go from positive to zero to...
Alabama Learning Exchange
As If Numbers Weren't Complex Enough Already!
The class explores the concept of complex numbers on a website to generate their own Mandelbrot sets. They will practice performing operations with complex numbers and then to get a visual understanding, graph the absolute value of a...
Illustrative Mathematics
Operations on the Number Line
A different way to look at integers is on this number line with variables in place of numbers. Learners are to look at different expressions and describe why they think the answer would be positive or negative, depending on the location...
Curated OER
Numbers 1.1
In this numbers 1.1 worksheet, students solve 64 problems about all kinds of numbers: rational, irrational, prime, composite, square roots, fractions, decimals.
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.
Curated OER
Babylonian Mathematics 2
Students research Babylonian mathematics. They calculate simple surd numbers. Students find the fractional form of rational numbers expressed as decimals. They work with numbers in base 60.
Concord Consortium
Last Digit Arithmetic
Mathematics involves a study of patterns. The exploratory lesson has learners consider the addition pattern in different sets of numbers. Each set has a different pattern that pupils describe mathematically. The patterns involve both...
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...
Curated OER
Properties of Real Numbers
In this Algebra II learning exercise, students classify numbers by naming the subset or subsets of the real numbers to which it belongs. The two page learning exercise provides explanation and examples in addition to ten practice...
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
Cartesian Coordinates
Students investigate rational numbers through data analysis and statistics. In this algebra lesson, students represent, rename, compare and order rational numbers. They collect and represent data correctly on a graph.
Curated OER
Multiplying Decimals and Mixed Numbers
Students practice multiplying decimals and/or mixed numbers, explore the effects of multiplying decimals and mixed numbers, and practice predicting the effects of multiplying a number by a decimal or mixed number.
Curated OER
Exponents and Division
In this dividing with exponents worksheet, students simplify rational numbers with exponents. The first four problems contain only numbers. The final 16 problems contain variables as well as numbers. Students are directed to show answers...
Curated OER
Lesson 3: Number Sense
Learners solve word problems using number sense. They convert fractions to decimals and mixed numbers. Pupils determine if a given fraction is greater or less than another fraction, and order numbers on a number line.
Curated OER
Rational Fractions
For this rational fractions worksheet, 9th graders solve 10 different types of problems that include adding and subtracting. First, they factor each denominator completely, including constant factors, and express repeated factors in...
Curated OER
Properties of Real Numbers
In this algebra worksheet, 11th graders perform operations with real numbers. They simplify roots and rationalize the denominators by factoring. They calculate the absolute values of the roots. There are 11 questions.