Virginia Department of Education
Powers of Ten
Investigate negative exponents of-ten. Pupils use the pattern of increasing powers of 10 to determine negative powers of 10. The scholars write the powers in expanded and product forms and make the connection to exponents using a...
EngageNY
Negative Exponents and the Laws of Exponents
Apply the properties of exponents to expressions with negative exponents. The fifth activity in the series explains the meaning of negative exponents through an exploration of the properties taught in the previous lessons of the series....
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
Integer Exponents
In this integer worksheet, learners rewrite expressions using only positive exponents. This one-page worksheet contains ten problems, with answers.
Education Development Center
Geography of the Number Line
It's more than just numbers on a line, its an organizational, mental math machine to help learners understand the value of numbers. The tool is handy when introducing positive and negative integers to see their values and relationships....
Curated OER
WORKSHEET # 7 [4.1, 4.2, & 4.3], Exponent Review
In this algebra worksheet, students answer 37 multiple choice questions, each having to do with exponential operations. Twenty-five problems require students to multiply exponential terms. four problems involve dividing with exponents. 8...
EngageNY
Proofs of Laws of Exponents
Apply pupil understanding of exponent properties to prove the relationships. In the sixth lesson of the series, individuals are expected to prove relationships using mathematical statements and reasoning.
Curated OER
The UP's and Down's of Exponents
Pupils explore the concept of exponents. In this exponential functions worksheet, students complete provided worksheets that require them to graph exponential functions by hand as well using graphing calculators.
Willow Tree
Multiplying and Dividing Monomials
Apply the power of mathematics to the power expressions. The activity gives examples of expressions that utilize each of the exponent rules to simplify. Once seeing the exponent rules individually, scholars combine them to simplify an...
Curated OER
Signed Numbers and Order of Operations I
In this signed numbers worksheet, students simplify equations by using the indicated operation. They add, subtract, multiply, and divide equations containing two to four positive and negative integers. Three of the 25 equations contain...
Bob Prior
The Order of Operations
Your learners use many different number representations like positive and negative integers, exponents, radicals, and combinations of operations as they learn and strengthen their use of the order of operations. Thoughtfully organized to...
EngageNY
Magnitude
Build an understanding of the powers of 10. Pupils investigate the results of raising 10 to positive and negative powers. They relate this understanding to the magnitude these powers represent in this seventh lesson of 15.
Curated OER
Negative Exponents
Students solve negative exponential functions. In this algebra instructional activity, students define the properties for rewriting functions with negative and zero exponents. They use a robot to create a visual of what is happening to...
EngageNY
Estimating Quantities
Apply the concept of magnitude to estimate values and compare numbers. The ninth activity of the 15-part series asks learners to write numbers to their next greatest power of 10 and then make comparisons. Scholars begin to understand the...
Curated OER
The New Texas Two-Step
Sixth graders work with mathematical expressions by interpreting, analyzing and problem solving with them. In this two step algebraic problem solving lesson, 6th graders use algebra tiles to solve equations.
EngageNY
Infinite Decimals
Can you support the argument that the decimal 0.99999 ... is equivalent to the number one? The seventh installment in this 25-part module gives convincing support for this conclusion. Pupils write infinite decimals using powers of 10....
Curated OER
Dividing Integer Powers
Work on the concept of using division with integer powers. The skills of using exponents and multiplying powers should be in place before attempting this lesson. The lesson provides examples for the teacher to use for direct instruction.
Curated OER
Rational Expressions
Young scholars simplify rational expressions. In this algebra lesson, students solve rational equations using multiplication and division. They apply properties of exponents and negative exponents to solve the problems.
Curated OER
Solving Equations Reducible to Quadratic: Extra Practice 34
In this math worksheet, students solve problems involving radicals in six problems. The other ten problems require students to factor quadratic equations and solve for the given variable. Two problems involve negative exponents.
Curated OER
Polynomials
In this algebra worksheet, students multiply 14 polynomial expressions. Fifteen problems require students to divide polynomials. Exponents may be positive or negative. One problem is a combination of multiplication, addition and...
Curated OER
Signed Numbers and Order of Operations II
In this signed number worksheet, students find the sum and difference of positive and negative integers. They use the order of operations to solve equations containing exponents and parenthesis. Students complete 26 problems.
Curated OER
Multiplying and Dividing Rational Expressions
In this college level worksheet, young scholars multiply and divided rational expressions and simplify the answers. The two page worksheet contains sixty-two problems. Answers are provided.
Willow Tree
Scientific Notation
Numbers that are very large or very small are difficult to express in standard notation. Pupils learn how to convert between standard and scientific notation. They also multiply and divide the numbers in scientific notation.
Curated OER
Extra Practice 39: Multiplying, Dividing, and Simplifying Radical Expressions
In this radical worksheet, students use multiplication and division to solve equations. All expressions on this worksheet represent non-negative numbers. Radicals include exponents and complex fractions. This two-page worksheet contains...