9th grade Math
18 units matched to the California Content Standards.
Focus areas
- Algebra I: expressions, equations and inequalities, including absolute value
- Functions: linear, exponential and quadratic functions and their graphs
- Statistics: describing data, two-way tables and scatter plots
Units
Unit 1
Exponents & Powers
Evaluating powers, using the product, quotient and power laws, working with powers of products and fractions, and order of operations with exponents.
Learning standard: A-SSE.2 · properties of exponents
Unit 2
Polynomials
Naming polynomials by terms and degree, combining like terms, subtracting polynomials, multiplying and dividing by a constant, and substituting values for x.
Learning standard: A-APR.1 · adding, subtracting and multiplying polynomials
Unit 3
Multi-Step Equations
Solving linear equations with brackets, fractions and variables on both sides, checking solutions, and turning word problems into equations.
Learning standard: A-REI.1; A-REI.3 · solving multi-step linear equations and justifying each step
Unit 4
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.
Learning standard: F-IF.6; F-IF.7; F-LE.2 · rate of change and key features of linear functions
Unit 5
Statistics in Society
Telling a population from a sample, spotting bias in who is asked and how, predicting from a sample, noticing misleading graphs, and why correlation is not causation.
Learning standard: S-ID.2; S-ID.3 · comparing the center and spread of data sets and the effect of outliers
Unit 6
Number Sets
Natural numbers, whole numbers, integers, rational and irrational numbers, how they fit inside each other, and why there are always more numbers between any two rational numbers.
Learning standard: N-RN.3 · comparing rational and irrational numbers
Unit 7
Expressions
Writing an expression for a pattern or a sentence, deciding which expressions are equivalent, expanding brackets, and collecting like terms.
Learning standard: A-SSE.1 · building and interpreting expressions in context
Unit 8
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.
Learning standard: A-REI.11; F-BF.3 · where two graphs meet, and how a graph moves when its equation changes
Unit 9
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.
Learning standard: S-ID.1; S-ID.6; S-ID.7 · box plots, scatter plots and the strength of an association
Unit 10
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.
Learning standard: F-IF.1; F-IF.2; F-IF.5 · functions as rules, function notation, and the domain of a function in context
Unit 11
Linear Inequalities
Solving linear inequalities (flipping the sign when dividing by a negative), checking a solution, and writing inequalities from budgets and limits.
Learning standard: A-REI.3; A-CED.1 · creating and solving linear inequalities in context
Unit 12
Solving Systems
Solving systems of two linear equations by elimination and substitution, and writing a system from a word problem.
Learning standard: A-REI.5; A-REI.6; A-CED.3 · solving systems of linear equations and representing constraints with equations
Unit 13
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.
Learning standard: F-LE.1; F-LE.2; F-LE.5 · telling linear from exponential situations and comparing their growth
Unit 14
Factoring & Quadratics
Factoring quadratic expressions (common factors, trinomials, difference of squares) and solving quadratic equations by factoring and square roots.
Learning standard: A-REI.4; A-SSE.3; A-SSE.2 · factoring quadratic expressions and solving quadratic equations by factoring and taking square roots
Unit 15
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.
Learning standard: A-CED.4; A-REI.1 · rearranging formulas and equations to highlight a quantity
Unit 16
Two-Way Tables & Causation
Reading two-way frequency tables, finding conditional relative frequencies, spotting associations, and knowing that correlation does not prove causation.
Learning standard: S-ID.5; S-ID.9 · two-way tables, conditional relative frequency, and correlation versus causation
Unit 17
Sequences
Arithmetic and geometric sequences as functions: finding any term, writing a rule, and using a recursive rule.
Learning standard: F-IF.3; F-BF.1 · modeling arithmetic patterns and telling them apart from patterns that grow by multiplying
Unit 18
Absolute Value Equations
Solving one-variable equations and inequalities with absolute value, reading |x − a| as the distance from a, and writing absolute-value inequalities for real tolerances. Absolute value equations are a California addition to Algebra I.
Learning standard: A-REI.3.1; A-CED.1 · solving and creating one-variable equations and inequalities involving absolute value
Ready to try Gradelings?
Curriculum-matched practice for Kindergarten to Grade 9 in British Columbia, Ontario, Alberta, Saskatchewan, Manitoba, Yukon, the Northwest Territories, Nova Scotia, New Brunswick, Newfoundland and Labrador, Prince Edward Island and Nunavut, and in Washington, Oregon and California, with kind hints, learning games and no ads. Subscribe now, or try everything free for 30 days with no card.