Mathematics

Algebra I · Grade 9 or accelerated Grade 8: scope and sequence

Regents Algebra I — the Grade 9 course, and the same course accelerated students take in Grade 8: expressions and equations, linear relationships and data, exponential and quadratic functions, radicals, and statistics.

There is no fixed calendar for this course. The units are written to be taken in order, and most families spend one to two weeks on each.

The units, in order

#	Unit and what it covers	Lessons
1	Expressions, Structure & Units Before you manipulate an expression, read it. Its structure tells you what it means and what you are allowed to do.	4
2	Solving Equations & Literal Equations Every step you take must keep the two sides equal. Say which property justifies it, and the algebra never drifts.	4
3	Linear Inequalities Solve it like an equation, with one extra rule: multiplying or dividing by a negative reverses the sign.	4
4	Slope & the Forms of a Line Three ways to write the same line. Each one is best at answering a different question.	4
5	Writing & Transforming Linear Functions Once a linear model is written, every question about it — rate, starting value, prediction, shift — is a short calculation.	4
6	Systems of Equations & Inequalities Two conditions at once, solved three ways — graph, substitute, or eliminate. The shaded overlap is the answer for inequalities.	4
7	Bivariate Data & Correlation Fit a line, read its slope in context, and judge how well it fits — then resist the urge to claim a cause.	4
8	Exponential Functions & Growth Linear growth adds the same amount each step. Exponential growth multiplies by the same amount — and always wins in the end.	5
9	Sequences, Explicit & Recursive A sequence is a function whose inputs are the counting numbers. Describe it from the start, or from the term before.	4
10	Polynomial Operations Add and subtract by collecting like terms. Multiply by making sure every pair meets exactly once.	4
11	Factoring Factoring is multiplication run backwards. Always pull out the common factor first — it makes everything after it easier.	4
12	Graphing Quadratics Every parabola has a vertex, an axis of symmetry, and up to two roots. Find those and the graph draws itself.	5
13	Solving Quadratic Equations Four methods, one goal. Factoring is fastest when it works; the quadratic formula always works.	5
14	Radicals & Rational Exponents A root is a fractional power. Once you accept that, every exponent rule you know still applies.	4
15	Absolute Value, Piecewise & Step Functions Some functions change their rule partway along. Work out where the rule changes, then treat each piece separately.	4
16	Statistics: Centre, Spread & Displays Report a centre, a spread, and the shape. One number on its own has almost never told the whole story.	5

Open Algebra I · Grade 9 or accelerated Grade 8 · All courses