Public learning track
Advanced Radicals, Polynomial Division, and Algebraic Fractions
12th Grade · Math · Open Global Math
5 lessons
Goal
Manipulate algebraic expressions with rational exponents and surds, apply polynomial division and theorems, and simplify complex algebraic fractions.
Featured Diagrams
Simplifying Algebraic Expressions with Rational Exponents and Surds
5 lessons
0 of 5 done
- 1Simplifying Algebraic Expressions with Rational Exponents and SurdsUp nextStart
- 2Rationalizing Binomial and Higher-Order Surd DenominatorsPremiumNot started yet
- 3Polynomial Long Division with Higher-Degree DivisorsNot started yet
- 4The Remainder and Factor Theorems for Polynomial FactorizationNot started yet
- 5Simplifying Compound and Nested Algebraic FractionsNot started yet
Curriculum Framework
12th Grade · Math · Open Global Math
1
6 lessons
Real Number Systems, Density, and Completeness
Analyze decimal and non-decimal representations of real numbers, prove irrationality, and demonstrate the structural density and completeness properties of number systems.
2
5 lessons
Advanced Radicals, Polynomial Division, and Algebraic Fractions
Manipulate algebraic expressions with rational exponents and surds, apply polynomial division and theorems, and simplify complex algebraic fractions.
3
5 lessons
Partial Fraction Decomposition Techniques
Decompose proper and improper rational functions into partial fractions with linear and repeated linear denominator factors.
4
6 lessons
The General Binomial Theorem and Power Approximations
Expand binomial expressions for positive integers and generalize to rational exponents with convergence criteria to approximate numerical and functional values.
5
7 lessons
Sequences, Recurrence Relations, and Series Convergence
Analyze explicit and recursive sequences, evaluate finite and infinite series in sigma notation, determine convergence, and model real-world dynamic phenomena.