9th grade Math
16 units matched to the Texas Essential Knowledge and Skills (TEKS).
Focus areas
- Algebra I: linear functions, equations and inequalities, including systems
- Quadratic and exponential functions: factoring, solving quadratic equations, and growth and decay
- Number and algebraic methods: polynomials, the laws of exponents, sequences and literal equations
Units
Unit 1
Linear Relations
Finding slope from points and graphs, reading y = mx + b, finding intercepts, deciding whether a point is on a line, spotting parallel lines, and using rates of change in stories.
TEKS student expectation: A.3(A); A.3(B); A.3(C) · slope, rate of change, intercepts and graphs of linear functions
Unit 2
Coordinate Geometry
Finding the distance between two points with the Pythagorean Theorem, the midpoint of a segment, slopes of segments, telling parallel and perpendicular lines apart, and using slopes to check for a right angle.
TEKS student expectation: A.2(E); A.2(F); A.3(A) · slopes of parallel and perpendicular lines and slope from two points
Unit 3
Lines & Intersections
Finding where two lines meet and what it means in a story, graphing x = k, y = k and ax + by = k, regions of an inequality, and translating, reflecting and rotating lines through the origin.
TEKS student expectation: A.2(G); A.3(E); A.3(F) · horizontal lines, shifts of the graph of f(x) = x, and where two lines meet
Unit 4
Function Notation
Evaluating and solving with function notation, and naming the domain and range of a function, including a sensible domain in a real situation.
TEKS student expectation: A.2(A); A.12(A); A.12(B) · domain and range, deciding whether a relation is a function, and function notation
Unit 5
Multi-Step Equations
Solving linear equations with brackets, fractions and variables on both sides, checking solutions, and turning word problems into equations.
TEKS student expectation: A.5(A) · solving linear equations, including with the distributive property
Unit 6
Linear Inequalities
Solving linear inequalities (flipping the sign when dividing by a negative), checking a solution, and writing inequalities from budgets and limits.
TEKS student expectation: A.5(B) · solving linear inequalities in one variable
Unit 7
Solving Systems
Solving systems of two linear equations by elimination and substitution, and writing a system from a word problem.
TEKS student expectation: A.2(I); A.5(C) · writing and solving systems of two linear equations
Unit 8
Data & Scatter Plots
Finding the median and quartiles of a data set, reading a box plot, telling positive, negative and no correlation apart, and using a line of best fit to make predictions. Correlation does not prove one thing causes another.
TEKS student expectation: A.4(A); A.4(C) · correlation and linear models that fit data
Unit 9
Two-Way Tables & Causation
Reading two-way frequency tables, finding conditional relative frequencies, spotting associations, and knowing that correlation does not prove causation.
TEKS student expectation: A.4(B) · association and causation
Unit 10
Polynomials
Naming polynomials by terms and degree, combining like terms, subtracting polynomials, multiplying and dividing by a constant, and substituting values for x.
TEKS student expectation: A.10(A); A.10(B) · adding, subtracting and multiplying polynomials
Unit 11
Expressions
Writing an expression for a pattern or a sentence, deciding which expressions are equivalent, expanding brackets, and collecting like terms.
TEKS student expectation: A.10(D) · rewriting expressions with the distributive property
Unit 12
Factoring & Quadratics
Factoring quadratic expressions (common factors, trinomials, difference of squares) and solving quadratic equations by factoring and square roots.
TEKS student expectation: A.8(A); A.10(E); A.10(F) · factoring trinomials and differences of squares, and solving quadratic equations
Unit 13
Exponents & Powers
Evaluating powers, using the product, quotient and power laws, working with powers of products and fractions, and order of operations with exponents.
TEKS student expectation: A.11(B) · simplifying expressions with the laws of exponents
Unit 14
Linear or Exponential?
Telling linear growth (add the same amount) from exponential growth (multiply by the same factor), writing exponential functions, and reading growth and decay rates.
TEKS student expectation: A.9(B); A.9(C) · exponential growth and decay, and writing f(x) = abˣ
Unit 15
Sequences
Arithmetic and geometric sequences as functions: finding any term, writing a rule, and using a recursive rule.
TEKS student expectation: A.12(C); A.12(D) · arithmetic and geometric sequences
Unit 16
Rearranging Formulas
Rearranging a formula to solve for one quantity (d = rt for t, P = 2l + 2w for l) and using it, plus justifying each step in solving an equation.
TEKS student expectation: A.12(E) · solving formulas and literal equations for a variable
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