Algebra I · Honors

High school · Math

Curriculum programs

Click a standard for the full text and study materials.

1.1 — Writing and modeling with equations. Write linear equations that model relationships; interpret solutions in context.
1.2 — Equivalent equations and structure. Rewrite equations with valid moves; isolate a chosen variable in literal equations.
1.3 — Equations and graphs. Connect one-variable equations to graphs and tables; check solutions.
1.4 — Justification of equation steps. Justify each rewrite of an equation using properties of equality (proof-style).

2.1 — Linear inequalities in one variable. Solve and graph inequalities on a number line, including compound inequalities.
2.2 — Systems of linear equations. Solve systems by graphing, substitution, and elimination; interpret solutions.
2.3 — Graph half-planes. Graph linear inequalities by shading the appropriate half-plane and identifying the boundary.
2.4 — Solution regions for linear inequalities. Graph and interpret solution regions for linear inequalities in the plane.
2.5 — Systems of linear inequalities. Find and interpret regions that satisfy systems of inequalities.
2.6 — Systems with no or infinitely many solutions. Classify systems as independent, dependent, or inconsistent with algebraic and graphical evidence.

3.1 — Distributions and measures of center. Display data with histograms, box plots, and dot plots; use mean, median, and IQR.
3.2 — Compare distributions using variability. Compare distributions using measures of variability, including standard deviation.
3.3 — Outliers. Identify outliers and describe their effects on measures of center and variability.
3.4 — Fit lines to bivariate data. Fit linear models to bivariate data and interpret their slopes and intercepts.
3.5 — Intercept in context. Interpret intercepts of lines of fit in real-world contexts.
3.6 — Use correlation coefficients. Use correlation coefficients to describe the direction and strength of linear relationships.
3.7 — Residuals to assess linear fit. Use residuals and residual plots to assess how well a linear model fits data.

4.1 — Define functions. Determine whether a relation is a function and describe its inputs and outputs.
4.2 — Verbal rules. Describe functions with verbal rules and translate among representations.
4.3 — Domain, range, and features of graphs. Identify domain and range; describe intercepts, maxima/minima, and intervals of increase/decrease.
4.4 — Linear functions and rate of change. Write and graph linear functions; interpret average and constant rates of change.
4.5 — Piecewise and absolute-value functions. Read and sketch piecewise-linear and absolute-value graphs.
4.6 — Inverse linear functions (intro). Find and interpret inverses of linear functions in simple contexts.
4.7 — Evaluate compositions of linear functions. Evaluate simple compositions of linear functions from formulas, tables, or graphs.
4.8 — Piecewise functions. Evaluate, graph, and interpret functions defined by different rules on different intervals.

5.1 — Contrast linear (constant-difference) change. Contrast linear constant-difference change with exponential constant-ratio change.
5.2 — Exponential (constant-factor) change. Recognize and describe exponential change as repeated multiplication by a constant factor.
5.3 — Write and graph exponential functions. Write and graph exponential functions from equations, tables, and contextual information.
5.4 — Interpret exponential functions y = a·b^x. Interpret the initial value and growth or decay factor in an exponential function of the form y = a·b^x.
5.5 — Modeling with exponentials. Model growth and decay situations; compare linear and exponential models.

6.1 — Add and subtract polynomials. Add and subtract polynomials by combining like terms.
6.2 — Multiply polynomials. Multiply polynomial expressions using distribution and combine like terms.
6.3 — Factor with GCF and trinomials. Factor polynomial expressions by first removing a greatest common factor and then factoring trinomials.
6.4 — Special products (difference of squares, perfect squares). Recognize and factor differences of squares and perfect-square trinomials.
6.5 — Rewrite expressions to reveal useful properties. Rewrite algebraic expressions in equivalent forms that reveal useful properties for solving.
6.6 — Graph polynomials. Graph polynomial functions using their zeros, multiplicities, intercepts, and end behavior.
6.7 — Factoring with leading coefficient a ≠ 1. Factor quadratic trinomials with nonzero leading coefficient beyond a = 1.

7.1 — Identify vertex, axis of symmetry, and intercepts. Identify the vertex, axis of symmetry, and intercepts of a quadratic function.
7.2 — Direction of opening. Determine whether a parabola opens upward or downward from its equation or graph.
7.3 — Move among standard, vertex, and factored forms. Rewrite quadratic functions among standard, vertex, and factored forms to reveal different features.
7.4 — Factored forms. Interpret and use factored polynomial forms to identify zeros and solve equations.
7.5 — Use quadratic models for simple area. Build and solve quadratic models for simple area problems.
7.6 — Projectile contexts. Use quadratic functions to model projectile height and interpret key features in context.

8.1 — Solve quadratic equations by factoring. Factor quadratic expressions and apply the zero-product property to solve equations.
8.2 — Solve by taking square roots. Solve quadratic equations of the form x² = k by taking square roots.
8.3 — Complete the square for simple quadratics. Rewrite simple quadratic expressions in vertex form by completing the square.
8.4 — Relate to vertex form. Connect a quadratic graph's transformations and vertex to its vertex-form equation.
8.5 — Quadratic formula and discriminant. Apply the quadratic formula; interpret the discriminant at a basic level.
8.6 — Applications of quadratic equations. Solve contextual problems that lead to quadratic equations.
8.7 — Complete the square for ax² + bx + c. Complete the square for quadratic expressions of the form ax² + bx + c.
8.8 — Derive the quadratic formula. Derive the quadratic formula by completing the square on a general quadratic equation.
8.9 — Express solutions exactly with radicals. Express exact solutions to quadratic equations in simplified radical form.
8.10 — Interpret solutions in context. Interpret the solutions of quadratic equations within the context of a problem.