Public learning track
Polynomial Functions, Roots, and Curve Sketching
9th Grade · Math · Open Global Math
6 lessons
Goal
Analyze the relationship between zeros, multiplicities, end behavior, and graph shapes to sketch and interpret polynomial functions.
Featured Diagrams
End Behavior and the Leading Coefficient Test
6 lessons
0 of 6 done
- 1End Behavior and the Leading Coefficient TestUp nextStart
- 2Multiplicity of Roots and x-Intercept BehaviorPremiumNot started yet
- 3Using Zeros to Sketch Polynomial GraphsNot started yet
- 4Sketching Graphs of Polynomial Functions in Factored FormNot started yet
- 5Writing Polynomial Equations from Given Graphs and ZerosNot started yet
- 6Analyzing Polynomial Graphs in Real-World ContextsNot started yet
Curriculum Framework
9th Grade · Math · Open Global Math
1
6 lessons
Structure and Interpretation of Algebraic Expressions
Analyze algebraic expressions by interpreting terms, coefficients, factors, and structural equivalence in real-world modeling contexts.
2
7 lessons
Polynomial Arithmetic and Closure Properties
Perform addition, subtraction, and multiplication on polynomials of any degree and justify why polynomials form a system closed under these operations.
3
8 lessons
Expanding Binomials and Special Algebraic Identities
Derive, verify, and apply special product identities, Pascal's Triangle, and the Binomial Theorem to expand algebraic expressions efficiently.
4
9 lessons
Factoring Quadratic and Higher-Degree Polynomials
Factor quadratic, cubic, and quartic polynomials completely using greatest common factors, grouping, quadratic form substitutions, and special identities.
5
7 lessons
Polynomial Division and the Remainder and Factor Theorems
Divide polynomials using long division and synthetic division, and apply the Remainder and Factor Theorems to determine roots and factors.
6
6 lessons
Polynomial Functions, Roots, and Curve Sketching
Analyze the relationship between zeros, multiplicities, end behavior, and graph shapes to sketch and interpret polynomial functions.
7
6 lessons
Rational Expressions: Simplification, Domain, and Arithmetic
Identify domain restrictions, simplify rational expressions by factoring, and perform addition, subtraction, multiplication, and division.
8
5 lessons
Advanced Rational Expressions and Quotient-Remainder Forms
Simplify complex fractions, rewrite improper rational expressions into quotient-remainder form, and solve applied rational modeling problems.