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...
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...
CK-12 Foundation
Negative Exponents
Watch the exponent expression do the negative exponent dance! An interactive lesson uses an animation to show how negative exponents become positive. Learners manipulate the expression and then respond to conceptual questions.
EngageNY
Irrational Exponents—What are 2^√2 and 2^π?
Extend the concept of exponents to irrational numbers. In the fifth installment of a 35-part module, individuals use calculators and rational exponents to estimate the values of 2^(sqrt(2)) and 2^(pi). The final goal is to show that the...
EngageNY
Negative Exponents and the Laws of Exponents
Apply the properties of exponents to expressions with negative exponents. The fifth lesson in the series explains the meaning of negative exponents through an exploration of the properties taught in the previous lessons of the...
EngageNY
Multiplication of Numbers in Exponential Form
Develop a solid understanding of multiplication and division properties of exponents. Individuals expand exponential terms to discover the patterns and create the properties in the second installment in a series of 15. The activity...
EngageNY
Integer Exponents
Fold, fold, and fold some more. In the first installment of a 35-part module, young mathematicians fold a piece of paper in half until it can not be folded any more. They use the results of this activity to develop functions for the area...
Curated OER
Exploring Exponents
Students solve problems dealing with exponents. In this algebra instructional activity, students solve problems using interactive online problems. They create visuals and gain a better understanding of the concepts.
EngageNY
Numbers Raised to the Zeroth Power
What in the world is the zeroth power? Examine the patterns of exponents as they apply to the zeroth power. Scholars apply the zero property to simple exponential expressions in this fourth lesson plan in a series of 15. The examples...
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...
Curated OER
Strong Arm Iteration
Young scholars solve exponential functions and inequalities. In this algebra lesson, students find the roots of equations and use it to graph and evaluate exponential functions. They simplify exponents using the law of exponents.
Curated OER
Negative Exponents
Students solve negative exponential functions. In this algebra lesson, 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 the negative...
EngageNY
Estimating Quantities
Apply the concept of magnitude to estimate values and compare numbers. The ninth lesson 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
Exploring Power Functions 1
Learners describe the end behavior of polynomial functions. Pupils relate the behavior of the graph to the exponent of the graph. They differentiate graphs with odd-exponent and graphs with even exponents.
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.
Ohio Department of Education
Multiplying and Dividing in Scientific Notation - Grade 8
Here is really nice set of resources on scientific notation. Eighth and ninth graders explore the concept of multiplying and dividing in scientific notation. For this multiplying and dividing numbers in scientific notation...
Curated OER
Exponential vs. Power
Pupils differentiate between exponential and power functions. They identify the base, exponent and properties of exponential functions. They also graph the functions using the TI calculator.
Curated OER
Rational Expressions
Students simplify rational expressions. In this algebra instructional activity, students solve rational equations using multiplication and division. They apply properties of exponents and negative exponents to solve the problems.
Curated OER
Cubes-IV
Students examine the relationship between three dimensions and two dimensions by working with shadows of cubes and other models. Students work in groups and use Zome System Creator Kits to try and build a shape other than a cube that...
Curated OER
The Remainder Theorem Using TI-Nspire CAS
Investigate the Remainder Theorem in this algebra instructional activity. Explore the relationship between the remainders of polynomial division and the function. Each of the four problems gets progressively more complicated. This might...
Achieve
Spread of Disease
Viruses can spread like wildfire, and mathematics can model the speed of infection. Given a function, scholars analyze it to describe the spread of a disease within a stadium. Learners find the initial number infected and the maximum...
Mathematics Vision Project
Module 2: Linear and Exponential Functions
Write, graph, and model all things linear and exponential. Building on the previous module in a nine-part Algebra I series, learners compare linear exponential modeling. They write equations, graph functions, and analyze key features.
EngageNY
Efficacy of Scientific Notation
How many times could California fit into the entire United States? Pupils use scientific notation to find the answer to that question in the 12th installment of 15 lessons. It asks scholars to write numbers in scientific notation and...
Illustrative Mathematics
Seven to the What?!?
Sometimes what seems like the easiest problem is really the most difficult. Your class is first going to reach for their calculators, but will realize the number is too large to evaluate. Now what? This is where the fun and the...
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