STAAR (State of Texas Assessments of Academic Readiness) Algebra I (STAAR EOC) Syllabus

Algebra I (STAAR EOC) syllabus — full chapter and topic list

Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Algebra I (STAAR EOC) in STAAR (State of Texas Assessments of Academic Readiness), not a summary of it.

1. 1

   Foundations of Functions and Linear Relationships

   4 topics

   • Functions, Domain, and Range
     • Identifying functions from tables, graphs, and mappings
     • Determining domain and range in context
     • Function notation and evaluating f(x)
     • Continuous vs. discrete domains
   • Rate of Change and Slope
     • Slope as a rate of change from tables and graphs
     • Calculating slope between two points
     • Interpreting slope and intercepts in real-world situations
   • Multiple Representations of Linear Functions
     • Converting among verbal, tabular, graphical, and algebraic forms
     • Slope-intercept, point-slope, and standard form
     • Writing equations from two points or a point and slope
   • Parent Functions and Transformations
     • The linear parent function y = x
     • Effects of changing m and b on the graph
2. 2

   Linear Equations, Inequalities, and Systems

   4 topics

   • Solving Linear Equations and Inequalities
     • Multi-step equations with variables on both sides
     • Equations with no solution or infinitely many solutions
     • Graphing and interpreting linear inequalities in one variable
   • Graphing Linear Inequalities in Two Variables
     • Boundary lines and shading regions
     • Testing points to verify solutions
   • Systems of Linear Equations
     • Solving by graphing, substitution, and elimination
     • Number of solutions and consistency
     • Modeling real-world problems with systems
   • Systems of Linear Inequalities
     • Identifying feasible solution regions
     • Applications and constraint problems
3. 3

   Quadratic Functions and Equations

   4 topics

   • Quadratic Parent Function and Transformations
     • The function y = x^2 and its graph
     • Vertical and horizontal shifts, stretches, and reflections
     • Vertex, axis of symmetry, and extrema
   • Key Attributes of Parabolas
     • x- and y-intercepts (roots and zeros)
     • Maximum and minimum values in context
     • Domain and range of quadratics
   • Solving Quadratic Equations
     • Factoring and the zero product property
     • The quadratic formula
     • Solving by taking square roots
   • Modeling with Quadratics
     • Projectile motion and area problems
     • Interpreting solutions in real-world contexts
4. 4

   Exponential Functions and Polynomial Operations

   4 topics

   • Exponential Growth and Decay
     • The function y = ab^x and its attributes
     • Growth vs. decay and the role of the base
     • Asymptotes, domain, and range
     • Compound interest and population modeling
   • Laws of Exponents
     • Product, quotient, and power rules
     • Negative and zero exponents
   • Polynomial Operations
     • Adding and subtracting polynomials
     • Multiplying binomials and polynomials
   • Factoring Polynomials
     • Greatest common factor
     • Factoring trinomials and special products
5. 5

   Number and Algebraic Methods, Data, and Modeling

   4 topics

   • Simplifying Expressions and Radicals
     • Operations with square roots
     • Rational exponents and equivalent forms
   • Linear Regression and Data Analysis
     • Scatterplots and correlation
     • Line of best fit and interpretation
     • Correlation coefficient and predictions
   • Arithmetic Sequences
     • Recursive and explicit formulas
     • Relating sequences to linear functions
   • Direct and Inverse Variation
     • Constant of proportionality
     • Modeling proportional relationships

Algebra I (STAAR EOC) flashcards for STAAR (State of Texas Assessments of Academic Readiness)

23 of 50 cards from the Algebra I (STAAR EOC) deck — real questions with worked answers.

1. What is a function?

   A relation in which every input (x-value) is paired with exactly one output (y-value).

2. What does the vertical line test determine?

   Whether a graph represents a function: if any vertical line crosses the graph more than once, it is NOT a function.

3. Define the domain of a function.

   The set of all possible input values (x-values) of the function.

4. Define the range of a function.

   The set of all possible output values (y-values) of the function.

5. What is the difference between a continuous and a discrete domain?

   A continuous domain includes all values in an interval (connected graph); a discrete domain consists of separate, distinct points.

6. What does function notation f(x) mean?

   It names the function f and shows the output when x is the input; f(x) is read 'f of x' and equals y.

7. What is the formula for the slope (rate of change) between two points (x1, y1) and (x2, y2)?

   m = (y2 - y1) / (x2 - x1), the change in y divided by the change in x.

8. What does slope represent in a real-world linear context?

   The constant rate of change — how much the dependent variable changes per one-unit change in the independent variable.

9. What is the slope of a horizontal line and of a vertical line?

   A horizontal line has slope 0; a vertical line has an undefined slope.

10. How do the slopes of parallel and perpendicular lines relate?

    Parallel lines have equal slopes; perpendicular lines have slopes that are negative reciprocals (product = -1).

11. What is the slope-intercept form of a linear equation?

    y = mx + b, where m is the slope and b is the y-intercept.

12. What is the point-slope form of a linear equation?

    y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

13. What is the standard form of a linear equation?

    Ax + By = C, where A, B, and C are integers and A is typically non-negative.

14. What are the four ways to represent a linear function?

    A table, a graph, an equation, and a verbal description (words).

15. How do you find the x-intercept and y-intercept of a line from its equation?

    For the x-intercept set y = 0 and solve for x; for the y-intercept set x = 0 and solve for y.

16. What is the parent function of a linear function?

    f(x) = x, a straight line through the origin with slope 1.

17. In y = a·f(x - h) + k, what transformation does k produce?

    A vertical translation: up k units if k > 0, down |k| units if k < 0.

18. In y = a·f(x - h) + k, what transformation does h produce?

    A horizontal translation: right h units when subtracting h (x - h), left when adding h (x + h).

19. In the transformation y = a·f(x), what does a do when |a| > 1 versus 0 < |a| < 1?

    |a| > 1 is a vertical stretch; 0 < |a| < 1 is a vertical compression. A negative a also reflects over the x-axis.

20. How do you solve a multi-step linear equation?

    Distribute, combine like terms, use inverse operations to isolate the variable, and keep the equation balanced by doing the same to both sides.

21. What happens to an inequality symbol when you multiply or divide both sides by a negative number?

    The inequality symbol reverses (flips) direction.

22. How do you graph the solution of a linear inequality in two variables?

    Graph the boundary line (dashed for < or >, solid for ≤ or ≥), then shade the half-plane containing all solutions.

23. For y > mx + b versus y < mx + b, which region do you shade?

    y > shades above the boundary line; y < shades below the boundary line.

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