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Curated OER
Rational Exponents
Investigate rational exponents in this math lesson. Scholars make conjectures about the relationship between rational exponents and radicals. They then use their Ti-Nspire to simplify rational exponents.
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...
Alabama Learning Exchange
Exponents and Division
Create a human fraction to learn about division of exponents. Scholars develop the rule for division of exponents by being part of a human fraction to explore and justify the rule. They also consider zero exponents and negative exponents.
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...
EngageNY
Exploiting the Connection to Trigonometry 2
The class checks to see if the formula for finding powers of a complex number works to find the roots too. Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about...
Curated OER
Square Roots and Exponents
Eleventh graders solve problems with roots and exponents. For this algebra lesson, 11th graders use the properties of powers to help them multiply, add, subtract and divide exponential functions. They take the square root of rational and...
West Contra Costa Unified School District
Fractional Exponents
Wow! Here is a handout packed full of tips and worked-out solutions to supplement instruction on fractional exponents. The activity introduces and thoroughly explains the Algebra II concept, and closes with a...
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
Are You a Radical or Just a Square Root?
Fourth graders discover that the inverse of squaring is finding a square root. and that square roots are found in many formulas used in many disciplines. They utilize a worksheet imbedded in this plan that gives them quite a bit of...
Curated OER
How Simple Is Your Rational Expression?
Investigate simplifying rational expressions. Learners define rational expressions, review how numerators and denominators are polynomials and complete several problems using a checklist to ensure they don't skip any steps. Work can be...
Curated OER
Squares and Square Roots II
Pupils evaluate squares and square roots. Through practice, they discover the inverse relationship between squares and square roots. Students take notes, solve square root and square root problems, and classify numbers as rational or...
Curated OER
Worksheet 8, Exponents
For this calculus worksheet, students analyze one equation by finding the maximum number of zeros. They use Descarte's Rule of Signs and the rational roots theorem. Students use synthetic division to factor the polynomial. Students solve...
Virginia Department of Education
Radical Equations
Provide high schoolers with the skill for how to examine algebraic and graphical approaches to solving radical equations. Learners solve various radical equations involving square root and cube root expressions. They first...
EngageNY
Adding and Subtracting Expressions with Radicals
I can multiply, so why can't I add these radicals? Mathematicians use the distributive property to explain addition of radical expressions. As they learn how to add radicals, they then apply that concept to find the perimeter of...
Curated OER
Cutting Corners - Parts 1 and 2
Students use optimization concepts to design their own container. In this optimization lesson plan, students understand how the optimization concept is critical in calculus and why products are packaged the way they are.
Curated OER
Topsy-Turvy Math With Rational Numbers
Fourth graders complete a worksheet. As a whole class, 4th graders hear a lecture and complete a worksheet on factors, multiplicative inverses and reciprocals, finding the quotient of two fractions and the division of fractions to...
Curated OER
Strong Arm Iteration
Pupils 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
Sloping and Intersecting a Linear Function
Students examine and discuss typical linear equations, and the difference between a linear and nonlinear equation. They observe examples of linear equations and complete a worksheet.
Willow Tree
Linear Relationships
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
Curated OER
Extreme Elevations
Seventh graders use highest and lowest points of land elevation around the world to find the differences. Sea level is zero, so students be operating with positive and negative numbers. After students find the information on the...
Curated OER
Flow Rates of Faucets and Rivers
Students work together to discover the flow rates of faucets and rivers. They relate their results to engineering and applied science concepts. They make predictions on the flow rate of a nearby river in their local community.
Curated OER
Mixed Expressions and Complex Fractions
Students are introduced to mixed expressions and complex fractions. They work through several problems with the instructor and then complete a worksheet.
Curated OER
Venn Diagrams & Word Problems
Students explore the concept of Venn Diagrams through word problems. In this Venn Diagram lesson, students solve word problems about groups of people using Venn Diagrams. Students use survey results about MySpace and Facebook in a Venn...