Charleston School District
Identifying Irrational Numbers
These numbers have some personality! Are they rational or irrational? The lesson examines the definitions of rational and irrational numbers and shows examples of how to identify them.
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 how to reverse...
EngageNY
Translating Graphs of Functions
If you know one, you know them all! Parent functions all handle translations the same. This lesson examines the quadratic, absolute value, and square root functions. Pupils discover the similarities in the behavior of the graphs when...
Curated OER
Square Roots and Real Numbers
In this square roots and real numbers activity, 9th graders solve and complete 12 different problems that include types of numbers. First, they find each square root, rounding to the nearest hundredth. Then, students evaluate each...
Curated OER
Square Roots, Number Classification, Ordering & Graphing
Ninth graders identify numbers as rational or irrational. Using calculators estimation, and factoring methods, 9th graders compute the square root of numbers. They graph numbers in sequential order and round numbers integers to the...
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
Rational Expressions Test with a Calculator
In this rational expression learning exercise, students graph rational equations, evaluate limits, state intercepts, asymptotes, and roots and factor. This learning exercise is designed as a test to be completed with a calculator.
Curated OER
Radicals and Rational Exponents
In this radicals and rational exponents instructional activity, 9th graders solve and complete 32 various types of problems. First, they write each expression in radical form. Then, students write each expression in exponential form. In...
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
Square Roots and Real Numbers
In this square roots and real numbers worksheet, 9th graders solve and complete 40 different problems that include various sets of numbers. First, they determine the square root of each and round to the nearest hundredth. Then, students...
Curated OER
Integrated Algebra Practice: Square Roots
In this square roots worksheet, students calculate the square roots of whole numbers and rational numbers. Seven problems have multiple choice answers. The remaining 13 problems are short answer. One problem involves graphing a function....
Curated OER
Square Roots and Exponents
Eleventh graders solve problems with roots and exponents. In 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...
Curated OER
Algebra 1: Simplifying Radicals
After discussing the difference between rational and irrational numbers, the class pratices simplifying, adding, and subtracting radical expressions. They play a game which involves passing around cards until they have matching hands of...
Curated OER
Simplify Radicals
Learners are introduced to the concept of radicals and how to use them in various situations. They review rational and irrational numbers while simplifying different number sentences. They also practice factoring perfect squares.
Curated OER
Numbers 1.1
In this numbers 1.1 worksheet, learners solve 64 problems about all kinds of numbers: rational, irrational, prime, composite, square roots, fractions, decimals.
Curated OER
Dividing Radical Expressions
In this algebra worksheet, students simplify 14 complex radical fractions. They find the square roots for both the denominator and numerator, dividing out any factors that are the same to completely simplify the fraction. For the final 7...
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
EngageNY
Mid-Module Assessment Task: Grade 8 Module 7
Assess pupil understanding of rational and irrational numbers with a mid-module assessment that is the 15th lesson in the 25-part series. The questions represent the objectives in the first half of the series. Topics include decimal...
Curated OER
nth Roots and Rational Exponents
In this algebra worksheet, students evaluate 20 problems in which they work with nth roots and rational exponents. They write expressions using rational exponents and radical notation. They identify roots, and round answers to two...
Curated OER
Worksheet 8, Exponents
In this calculus worksheet, learners 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. Learners solve...
Curated OER
Using Synthetic Substitution and The Factor Theorem to determine Factors of Polynomials
In this synthetic substitution worksheet, students evaluate three different function at specified points. Students also determine if given factors are factors of four specific polynomials. Additionally students use the Factor Theorem...
Curated OER
Rational or Irrational
In this rational and irrational numbers worksheet, 7th graders solve 24 different problems that include defining various rational and irrational numbers and/or expressions. First, they identify whether each given number and/or expression...
Curated OER
Rational Exponents
In this rational exponents worksheet, 9th graders solve 10 different problems that include fractional exponents in each. First, they determine the simplest numerical answer possible for each expression. Then, students apply the rules of...
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...
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