Curated OER
Simplifying Radicals
In this simplifying radicals instructional activity, students factor out the whole number root of each radicand in 20 short answer problems. Four of the answers involve the absolute value of a variable.
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...
Under the Dome
The Pythagoras Tree
View a tree designed by Pythagoras. Pupils watch a video as a tree is built by using squares representing the side lengths of a right triangle, with each side of the squares becoming the side of another triangle. Learners come up with...
EngageNY
An Appearance of Complex Numbers 1
Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....
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...
Teacher Web
Plant Reproduction—Structure of a Flower
What happened to the plant in math class? It grew square roots. Here, a set of 11 worksheets provide a review of plant reproduction. It includes the structure of a flower and each part's function, pollination, fertilization, seed...
Curated OER
Rational Expressions Test with a Calculator
In this rational expression worksheet, students graph rational equations, evaluate limits, state intercepts, asymptotes, and roots and factor. This worksheet is designed as a test to be completed with a calculator.
Curated OER
DeMoivre's Theorem
In this DeMoivre's theorem worksheet, students find square, third, fourth and fifth roots of complex numbers. They give answers in trigonometric form. This one-page worksheet contains six problems. Answers are provided at the bottom...
Curated OER
Distance Formula
Students create ways to find the number of square miles that lie in a triangle having vertices at A, B, and C. They compute the distance between two points and use Heron's formula to find the area of the triangle. Finally, students...
Curated OER
Quadratic Equations
Using the provided worksheets, students solve equations involving factoring and finding square roots. At the conclusion of the lesson, they discuss the answers and any difficulty experienced in solving the equations.
Curated OER
Going out of Business: Pythagorean Theorem
Students find the length of diagonals. In this Pythagorean theorem lesson, students use the Pythagorean theorem to determine the length of diagonals.
Curated OER
The Quadratic Formula
In this quadratic formula instructional activity, 9th graders identify and solve 20 different problems by applying the quadratic formula to each one. First, they read the lesson and examples to identify the quadratic formula. Then,...
Curated OER
The Quadratic Formula
In this quadratic formula instructional activity, students use the quadratic formula to solve given problems. Examples and explanations are given at the beginning of the instructional activity. This one-page instructional activity...
Curated OER
Pythagorean Theorem
In this Pythagorean theorem learning exercise, 9th graders solve and complete 8 different types of problems. First, they go to the given website and copy the picture shown. Then, students draw a right triangle using the straight line...
Curated OER
Simplifying Radical Expressions
In this radical expressions worksheet, 9th graders solve and complete 20 different problems that include simplifying various radical expressions. First, they define rationalizing the denominator. Then, students simplify and leave each in...
Curated OER
Doing Battle With Radical Equations
Students observe and solve examples of equations involving radicals. They complete a Doing Battle With Radical Equations worksheet and checklist.
Curated OER
Perfect Squares
In this math activity, middle schoolers solve the problems that have the form of perfect squares. These are essential to finding the roots.
Curated OER
Misconceptions in Mathematics
In this misconceptions worksheet, 6th graders solve and complete 3 different steps in a problem. First, they solve by multiplying the fraction of a number to get the percentage. Then, students find the square roots of both sides of a...
Curated OER
Simplifying Expressions
In this simplifying expressions worksheet, 11th graders solve and complete 44 various types of problems. First, they solve for the given variable in each equation. Then, students simplify each expression and factor completely. They also...
Curated OER
Expand Using Laws of Logarithms
In this logarithm worksheet, students expand given logarithms containing fractions, exponents, and multiplication problems. This two-page worksheet contains 8 multi-step problems. Answers are provided on the last page.
Curated OER
A Lesson on the Root Spiral
Students create lines and shapes with a compass and a straight edge. In this geometry lesson, students investigate square roots, irrational numbers and spirals. They explore nature to see the shapes representing mathematics and geometric...
Curated OER
Quotable Puzzles
In this algebra puzzle worksheet, students evaluate 25 different expressions using the values provided for a, b, c, x, y, and z. They then match the answer to the correct letter of the alphabet and use the letters to solve the quotation...
Curated OER
Operations with Radicals
In this operations with radicals worksheet, 9th graders solve 10 different equations that include various radicals. First, they perform the indicated operations in each problem. Then, students simplify their answers, some having a...
Curated OER
Geometry: Practical Applications of the Distance Formula
Pupils, working independently and in groups, apply the distance formula to practical situations. After solving various problems, students in pairs design coordinate planes from the school blue print to measure the distance from the...