Grade 9 Mathematics | FocusMath

Number sense and algebra

Equivalent expressions preserve value while making structure easier to see.

Learning goals

Apply exponent laws
Simplify algebraic expressions
Solve multi-step equations

Core formulas

a^{m} / a^{n} = a^{m - n}

Quotient of powers

a (b + c) = ab + a c

Distributive property

Linear relations and graphs

Slope describes change; an intercept anchors the relationship.

Learning goals

Calculate slope from points
Write a line equation
Interpret real-world linear models

Core formulas

y - y_{1} = m (x - x_{1})

Point-slope form

Graph and compare lines

Measurement and geometry

Scale, similarity, and coordinate tools connect diagrams to measurable quantities.

Learning goals

Use scale factors
Find composite area
Solve coordinate geometry problems

Core formulas

d = (x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}

Distance formula

Data, probability, and financial literacy

Quantitative evidence supports comparisons and responsible decisions.

Learning goals

Summarize one-variable data
Interpret correlation carefully
Calculate simple interest

Core formulas

I = P r t

Simple interest

Summarize a dataset

Reference library

Open reference library