9th grade math is usually Algebra 1, where algebraic and functional thinking take a big step forward. Students work with polynomials, quadratics, systems, exponential models and statistics, with more focus on real-world modeling.

Key Topics Covered:

Real numbers, exponent laws, polynomials and factoring, linear equations and systems, quadratic functions, exponential growth, compound interest, sequences, box plots, scatterplots and two-way tables.

Parent Tip:

Algebra 1 is a gateway course, and many states test it at the end of the year. A strong grasp of quadratics, functions and modeling carries straight into Geometry and Algebra 2.

Apply exponent laws and work with real numbers and scientific notation

Add, multiply and factor polynomials and solve quadratic equations

Solve linear equations, inequalities and systems of equations

Analyze linear, quadratic and exponential functions in tables, graphs and equations

Model growth, decay and compound interest in U.S. dollars

Analyze data with box plots, scatterplots, lines of fit and two-way tables

Student learning 9th grade math online with a live tutor at home in the USA

No.	Topic	What We Cover
01	The Real Number System	Classify real numbers and use properties of operations to simplify and justify steps.
02	Integer Exponents and Exponent Laws	Use exponent rules to simplify expressions with variables and negative exponents.
03	Rational Exponents and Radicals	Link rational exponents to roots and simplify radical expressions.
04	Scientific Notation	Compute with very large and small measurements and choose reasonable units.
05	Polynomials: Adding and Subtracting	Identify terms and degree and add and subtract polynomials.
06	Multiplying Polynomials	Expand binomial products with the distributive property, area models and FOIL.
07	Factoring: GCF and Monic Quadratics	Factor out the greatest common factor and factor trinomials such as x squared + 5x + 6.
08	Solving Equations and Literal Equations	Solve multi-step equations and rearrange formulas, such as solving d = rt for t.
09	Linear Inequalities	Solve and graph one-variable and compound inequalities and interpret the solutions in context.
10	Quarter 1 Review	Review expressions, exponents and equations. A mock test and parent report follow.

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Student in a tutoring session with their tutor

Warm-up (5 min)

Quick mental math and a review of the previous session

Core Teaching (25 min)

New concept from the lesson eBook, with examples and guided practice

Guided Practice (15 min)

Student works through problems with tutor support

Independent Practice (10 min)

Student completes the in-class quiz independently

Wrap-up (5 min)

Summary, 2 take-home quizzes and a preview of the next session

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No.	Topic	What We Cover
11	Function Notation, Domain and Range	Read and write f(x), evaluate functions and find domain and range.
12	Slope and Forms of Linear Equations	Use slope, slope-intercept, point-slope and standard form and move between them.
13	Systems of Equations: Graphing and Substitution	Solve systems by graphing and substitution.
14	Systems of Equations: Elimination	Solve systems by elimination and decide which method is fastest.
15	Linear Inequalities in Two Variables	Graph inequalities and systems of inequalities and read the feasible region.
16	Introduction to Quadratic Functions	Explore parabolas, vertex, axis of symmetry and how a quadratic differs from a line.
17	Graphing Quadratic Functions	Graph quadratics from tables, intercepts and vertex form with digital tools.
18	Solving Quadratics by Factoring	Solve quadratic equations with the zero product property.
19	Completing the Square and the Quadratic Formula	Solve any quadratic using completing the square and the quadratic formula.
20	Quarter 2 Review	Review functions, systems and quadratics. A mock test and parent report follow.

No.	Topic	What We Cover
21	Transformations of Functions	Shift, stretch and reflect graphs and write the equation for each change.
22	Linear and Quadratic Modeling	Choose linear or quadratic models for real data such as projectile motion and profit.
23	Exponential Growth and Decay	Write and graph exponential functions for population, interest and half-life.
24	Exponential Versus Linear Growth	Compare constant rate and constant percent change using tables and graphs.
25	Compound Interest and Financial Models	Use A = P(1 + r/n)^(nt) to compare savings, loans and credit card debt in U.S. dollars.
26	Sequences	Write arithmetic and geometric sequences with recursive and explicit rules.
27	Key Features of Functions	Find intercepts, intervals of increase, maximum and minimum and end behavior.
28	Direct and Inverse Variation	Model proportional relationships and rates, such as speed and price per unit.
29	Modeling With Equations	Build equations from real situations and solve them with units in mind.
30	Quarter 3 Review	Review function models. A mock test and parent report follow.

No.	Topic	What We Cover
31	Dot Plots, Histograms and Box Plots	Display one-variable data and find the five-number summary.
32	Center, Spread and Outliers	Compare data sets using mean, median, interquartile range and standard deviation.
33	Scatterplots and Association	Describe form, direction and strength of the relationship between two variables.
34	Lines of Best Fit and Correlation	Fit lines to data, interpret slope and intercept and use the correlation coefficient.
35	Association Versus Causation	Judge claims from data and spot lurking variables.
36	Two-Way Tables and Relative Frequency	Use joint, marginal and conditional relative frequencies to find associations.
37	Residuals and Model Fit	Plot residuals to check whether a linear model is a good fit.
38	Statistical Investigation	Design a question, collect data, analyze it and present conclusions.
39	End-of-Course Exam Skills	Practice multi-step items, graphing questions and test strategies.
40	Grade 9 Review and Geometry Readiness	Review the year's key skills and preview Geometry. A mock test and parent report follow.

9th Grade Math Tutoring in the USA

By Quarter 4 of 9th Grade Math, Your Child Will...

9th Grade Math Curriculum, Quarter by Quarter

Try a Free Lesson to See the Full Program

Try a Free Lesson to See the Full Program

Try a Free Lesson to See the Full Program

Try a Free Lesson to See the Full Program