Adding, Subtracting, Multiplying Radicals
In this Algebra II worksheet, 11th graders simplify radical expression involving addition, subtraction, and multiplication. The two page worksheet contains twenty-six problems. Answer key is provided.
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Operations with Complex Numbers
This activity is a great introduction to the operations of complex numbers. Combining their knowledge of algebra and the use of a calculator, your class can discover and apply the rules for adding, subtracting, and multiplying complex...
9th - 11th Math CCSS: Designed
An Appearance of Complex Numbers 2
Help the class visualize operations with complex numbers with a lesson that formally introduces complex numbers and reviews the visualization of complex numbers on the complex plane. The fifth installment of a 32-part series reviews the...
11th - 12th Math CCSS: Designed
Simplifying Radical Fractions
Rationalizing denominators of radical fractions is one of those skills that pulls together understanding of many different concepts. By carefully scaffolding from easy to hard examples and explaining each example step-by-step, this video...
9 mins 9th - 12th Math CCSS: Designed
Extraneous Solutions to Radical Equations
Bringing it all together in this video, Sal incorporates the concepts from previous lectures (quadratic formula, multiplying polynomial expressions, radical expressions, exponents). This video would be a great way to end a unit or review...
4 mins 7th - 11th Math CCSS: Adaptable
Recognizing When Radical Expressions are Undefined
Many times budding algebrists are fine when plugging specific numbers into expressions, but less certain when the range of acceptable values is undetermined. This detailed presentation helps the class move from the point value to the...
6 mins 8th - 12th Math CCSS: Designed
Simplifying a Radical Expression
Starting from the basic definition of a radical as a square root, this short but deep presentation walks the learner through irrational numbers, using prime factorization to simplify square roots, and rationalizing denominators. Each...
8 mins 9th - 12th Math CCSS: Designed
Multiply Radical Expressions
This short presentation on multiplying radicals together and with the distributive property does a nice job of working out, step by step, three examples start to finish. Care is taken to separate the radicand multiplication from the...
4 mins 8th - 11th Math CCSS: Designed
Add, Subtract and Multiply Simple Radical Expressions
Performing arithmetic with radical expressions is one of those summary tasks pulling together a surprising number of subskills. Learners need to simplify radicals, identify common radicands, perform FOIL, along with applying arithmetic...
7 mins 8th - 11th Math CCSS: Designed