What topics are covered in Grade 9 Math (Algebra I) in Texas?

Grade 9 Math in Texas covers linear equations, quadratic functions, systems of equations, polynomials, exponential functions, and data analysis, aligning with TEKS standards for Algebra I.

How can students prepare for the STAAR exam in Algebra I?

Students can prepare by reviewing class materials, practicing with released STAAR questions, using online resources aligned with Texas standards, and seeking help from teachers or tutors.

What support is available for struggling Grade 9 Math students?

Support includes after-school tutoring, online learning platforms, peer study groups, and individualized help from teachers. Many schools also offer math labs for additional practice.

How does Algebra I in Grade 9 prepare students for future math courses?

Algebra I builds foundational skills in equation solving, function analysis, and abstract thinking, essential for success in Geometry, Algebra II, and advanced math courses in high school.

Is Algebra I in Grade 9 difficult compared to middle school math?

Algebra I introduces more abstract concepts and problem-solving skills. While challenging, it builds on pre-algebra knowledge. With consistent practice and support, students can succeed.

Texas

Math

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Grade 6

Grade 7

Grade 8

Grade 9

Grade 10

Grade 11

Grade 12

Grade 9 Math Courses - Texas Curriculum

Discover Texas Grade 9 Math, focusing on Algebra I. Explore linear and quadratic functions, polynomials, and more. Prepare for success with our comprehensive curriculum aligned to state standards.

Texas Grade 9 Math Curriculum - Algebra I Topics

ID	Strand & Expectation	StudyPug Topic
A1.2.A	Linear Functions, Equations, and Inequalities: Determine the domain and range of a linear function in mathematical problems; determine reasonable domain and range values for real-world situations	Relationship between two variables Domain and range of a function Understanding graphs of linear relationships Understanding tables of values of linear relationships Applications of linear relationships

A1.2.B

Linear Functions, Equations, and Inequalities: Write linear equations in two variables in various forms, given one point and the slope and given two points

Slope intercept form: y = mx + b

Point-slope form: y - y_1 = m(x - x_1)

General form: Ax + By + C = 0

Graphing linear functions using a single point and slope

A1.2.C

Linear Functions, Equations, and Inequalities: Write linear equations in two variables given a table of values, a graph, and a verbal description

Graphing from slope-intercept form y=mx+b

Graphing linear functions using x- and y-intercepts

Word problems of graphing linear functions

A1.2.D

Linear Functions, Equations, and Inequalities: Write and solve equations involving direct variation

Introduction to linear equations

Direct variation

A1.2.E

Linear Functions, Equations, and Inequalities: Write the equation of a line that contains a given point and is parallel to a given line

Parallel line equation

Parallel and perpendicular lines in linear functions

A1.2.F

Linear Functions, Equations, and Inequalities: Write the equation of a line that contains a given point and is perpendicular to a given line

Perpendicular line equation

A1.2.G

Linear Functions, Equations, and Inequalities: Write an equation of a line that is parallel or perpendicular to the X or Y axis and determine whether the slope of the line is zero or undefined

Combination of both parallel and perpendicular line equations

Special case of linear equations: Horizontal lines

Special case of linear equations: Vertical lines

A1.2.H

Linear Functions, Equations, and Inequalities: Write linear inequalities in two variables given a table of values, a graph, and a verbal description

Express linear inequalities graphically and algebraically

A1.2.I

Linear Functions, Equations, and Inequalities: Write systems of two linear equations given a table of values, a graph, and a verbal description

Determining number of solutions to linear equations

A1.3.A

Linear Functions, Equations, and Inequalities: Determine the slope of a line given a table of values, a graph, two points on the line, and an equation written in various forms

Slope equation: $m = \frac{y_2-y_1}{x_2- x_1}$

A1.3.B

Linear Functions, Equations, and Inequalities: Calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real-world problems

Rate of change

Applications of linear relations

A1.3.C

Linear Functions, Equations, and Inequalities: Graph linear functions on the coordinate plane and identify key features

Graphing linear functions using table of values

Understand relations between x- and y-intercepts

A1.3.D

Linear Functions, Equations, and Inequalities: Graph the solution set of linear inequalities in two variables on the coordinate plane

Graphing systems of linear inequalities

Graphing linear inequalities in two variables

A1.3.E

Linear Functions, Equations, and Inequalities: Determine the effects on the graph of the parent function f(x) = x when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d

Transformations of functions: Horizontal translations

Transformations of functions: Vertical translations

Reflection across the y-axis: y = f(-x)

Reflection across the x-axis: y = -f(x)

Transformations of functions: Horizontal stretches

Transformations of functions: Vertical stretches

A1.3.F

Linear Functions, Equations, and Inequalities: Graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist

Solving systems of linear equations by graphing

A1.3.G

Linear Functions, Equations, and Inequalities: Estimate graphically the solutions to systems of two linear equations with two variables in real-world problems

Solving systems of linear equations by elimination

A1.3.H

Linear Functions, Equations, and Inequalities: Graph the solution set of systems of two linear inequalities in two variables on the coordinate plane

Graphing systems of quadratic inequalities

A1.4.A

Linear Functions, Equations, and Inequalities: Calculate, using technology, the correlation coefficient between two quantitative variables and interpret this quantity as a measure of the strength of the linear association

Regression analysis

Bivariate, scatter plots and correlation

A1.4.C

Linear Functions, Equations, and Inequalities: Write, with and without technology, linear functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems

Equation of the best fit line

A1.5.A

Linear Functions, Equations, and Inequalities: Solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides

Solving linear equations using multiplication and division

Solving two-step linear equations: ax + b = c, x/a + b = c

Solving linear equations using distributive property: a(x + b) = c

Solving linear equations with variables on both sides

A1.5.B

Linear Functions, Equations, and Inequalities: Solve linear inequalities in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides

Solving one-step linear inequalities

Solving multi-step linear inequalities

A1.5.C

Linear Functions, Equations, and Inequalities: Solve systems of two linear equations with two variables for mathematical and real-world problems

Solving systems of linear equations by substitution

A1.6.A

Quadratic Functions and Equations: Determine the domain and range of quadratic functions and represent the domain and range using inequalities

Characteristics of quadratic functions

A1.6.B

Quadratic Functions and Equations: Write equations of quadratic functions given the vertex and another point on the graph, write the equation in vertex form (f(x) = a(x - h)^2 + k), and rewrite the equation from vertex form to standard form (f(x) = ax^2 + bx + c)

Quadratic function in general form: y = ax^2 + bx + c

Converting from general to vertex form by completing the square

Quadratic function in vertex form: y = a(x-p)^2 + q

A1.6.C

Quadratic Functions and Equations: Write quadratic functions when given real solutions and graphs of their related equations

Finding the quadratic functions for given parabolas

A1.7.A

Quadratic Functions and Equations: Graph quadratic functions on the coordinate plane and use the graph to identify key attributes

Graphing quadratic functions: General form VS. Vertex form

A1.7.B

Quadratic Functions and Equations: Describe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions

Nature of roots of quadratic equations: The discriminant

A1.7.C

Quadratic Functions and Equations: Determine the effects on the graph of the parent function f(x) = x^2 when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d

Transformations of quadratic functions

A1.8.A

Quadratic Functions and Equations: Solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula

Solving quadratic equations by factoring

Solving quadratic equations by completing the square

Using quadratic formula to solve quadratic equations

A1.8.B

Quadratic Functions and Equations: Write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems

Applications of quadratic functions

A1.9.A

Exponential Functions and Equations: Determine the domain and range of exponential functions of the form f(x) = ab^x and represent the domain and range using inequalities

Graphing exponential functions

A1.9.B

Exponential Functions and Equations: Interpret the meaning of the values of a and b in exponential functions of the form f(x) = ab^x in real-world problems

Graphing transformations of exponential functions

A1.9.C

Exponential Functions and Equations: Write exponential functions in the form f(x) = ab^x (where b is a rational number) to describe problems arising from mathematical and real-world situations

Finding an exponential function given its graph

Exponential growth and decay by percentage

A1.9.D

Exponential Functions and Equations: Graph exponential functions that model growth and decay and identify key features

Exponential growth and decay by a factor

A1.9.E

Exponential Functions and Equations: Write, using technology, exponential functions that provide a reasonable fit to data and make predictions for real-world problems

Finance: Compound interest

A1.10.A

Number and Algebraic Methods: Add and subtract polynomials of degree one and degree two

Adding and subtracting polynomials

A1.10.B

Number and Algebraic Methods: Multiply polynomials of degree one and degree two

Multiplying monomial by binomial

Multiplying binomial by binomial

Multiplying monomial by monomial

Multiplying polynomial by polynomial

A1.10.C

Number and Algebraic Methods: Determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend

Polynomial long division

Polynomial synthetic division

A1.10.D

Number and Algebraic Methods: Rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property

Common factors of polynomials

Characteristics of polynomials

Equivalent expressions of polynomials

A1.10.E

Number and Algebraic Methods: Factor, if possible, trinomials with real factors in the form ax^2 + bx + c, including perfect square trinomials of degree two

Factoring polynomials: ax^2 + bx + c

Factoring polynomials: x^2 + bx + c

Applications of polynomials: x^2 + bx + c

Solving polynomials with the unknown "b" from ax^2 + bx + c

Factoring perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2

A1.10.F

Number and Algebraic Methods: Decide if a binomial can be written as the difference of two squares and, if possible, use the structure of a difference of two squares to rewrite the binomial

Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)

A1.11.A

Number and Algebraic Methods: Simplify numerical radical expressions involving square roots

Square and square roots

Operations with radicals

A1.11.B

Number and Algebraic Methods: Simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents

Combining the exponent rules

Quotient rule of exponents

Power of a product rule

Power of a quotient rule

Power of a power rule

Negative exponent rule

Scientific notation

Convert between radicals and rational exponents

Exponent rules

Product rule of exponents

A1.12.A

Number and Algebraic Methods: Decide whether relations represented verbally, tabularly, graphically, and symbolically define a function

Identifying functions

A1.12.B

Number and Algebraic Methods: Evaluate functions, expressed in function notation, given one or more elements in their domains

Function notation

A1.12.C

Number and Algebraic Methods: Identify terms of arithmetic and geometric sequences when the sequences are given in function form using recursive processes

Arithmetic sequences

Geometric sequences

A1.12.D

Number and Algebraic Methods: Write a formula for the nth term of arithmetic and geometric sequences, given the value of several of their terms

Arithmetic series

Geometric series

A1.12.E

Number and Algebraic Methods: Solve mathematic and scientific formulas, and other literal equations, for a specified variable

Solving literal equations

Site Map

Courses

State Curriculum

More