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
A Focus on Square Roots
Pupils learn to solve square root equations and rationalize denominators. Problems include those with extraneous solutions.
Curated OER
Calculate the Slope of a Line Using Two Points
Find that slope! This video does an excellent job of demonstrating how to use the slope formula to find the slope of a line using two points. The instructor first reviews the definition of slope of a line, then works three problems using...
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.
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...
Ohio Department of Education
The Solution is Complex
Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....
Illustrative Mathematics
Rational or Irrational?
Is 4 plus the square root of 2 rational or irrational? After your class has gained a basic grasp of rational and irrational numbers, use this worksheet to push them a little further in their understanding. Learners must identify sums and...
Curated OER
Test Chapter 8 Algebra II
In this radical equations and expressions test, students answer 4 multiple choice and 21 short answer questions.
Curated OER
Ten Square Root of Negative Numbers and Ten i to a Power Problems
In this i worksheet, students simplify square roots of negative numbers in ten problems and evaluate i to the given power in ten more problems. The solutions are provided.
Curated OER
Worksheet, Chapter 1: College Prep Algebra (Integers, Rational Numbers)
In this algebra instructional activity, students evaluate equations, identify the inverse of numbers, translate words into a number sentence, compare expressions, and solve radicals. This six page instructional activity contains a...
Curated OER
Practice Exit Exam - Mat 0024
In this practice exit exam, learners complete a variety of basic algebra problems on an Algebra I skill level. They simplify expressions containing variables, factor quadratic equations, find the slope of a line, identify the...
Curated OER
Academic Algebra II 1st Semester Exam
In the semester exam, students solve problems dealing the the discriminant of quadratic equations, systems of equations, linear equations and inequalities. Students also simplify radicals, complete squares, and find the inverse...
Curated OER
Complex Fractions
In this complex fractions worksheet, 9th graders solve 10 different problems that include simplifying various complex fractions. First, they create one single fraction in the numerator and then in the denominator. Then, students rewrite...
Curated OER
Find the Products
In this algebra worksheet, 10th graders find the products of 4 problems that include a variable and work with square roots. They find an expression for the area of each of 3 geometric shapes.
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...
EngageNY
Graphing Cubic, Square Root, and Cube Root Functions
Is there a relationship between powers and roots? Here is a instructional activity that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They...
Mathematics Assessment Project
Estimating Length Using Scientific Notation
Would you rather have a million dollars or 1 x 10^6 dollars? To find the answer to this question, class members first complete an assessment task converting numbers between decimal notation and scientific notation. They then take...
Education Development Center
Rational Exponents
It's rational to root for your class to learn about exponents. Scholars study rational exponents by reading a fictional dialogue between classmates. They analyze the conversation to understand the connection between rational exponents...
EngageNY
Complex Numbers as Solutions to Equations
Quadratic solutions come in all shapes and sizes, so help your classes find the right one! Learners use the quadratic formula to find solutions for quadratic equations. Solutions vary from one, two, and complex.
Curated OER
Translate Word Phrases and Sentences into Equations
Use this video to show your learners an example of how to translate word phrases into an equation to solve a real-world problem. The presenter begins with a review of how to use cross products to solve a proportion, including how to do...
Curated OER
Complex Numbers
For this complex numbers worksheet, 9th graders solve 10 different problems that include addition and subtraction of these numbers. First, they add or subtract the coefficients of similar terms algebraically. Then, students remove the...
Curated OER
Complex Numbers
For this complex numbers worksheet, 9th graders solve 10 different problems that include determining the absolute value of each equation. First, they convert the number to the a+bi form. Then, students select the coefficients for a and...
Curated OER
Is Your Square Complete?
Students practice solving quadratic equations using a form called Complete the Square.
Curated OER
Exponents III- Squares and Square Roots
Students explore the process of inverse operations to solve square root problems. After exploring the perfect squares and area, students examine methods to find square roots by observing the teacher, taking notes, and listing vocabulary...