This course prepares California grade 11 students for the CAASPP Mathematics assessment through a full, standards-aligned review of the content and skills most likely to be tested. It is designed for students who need to strengthen core mathematics, close knowledge gaps, practice state-test-style questions, and improve performance on both selected-response and constructed-response items. The program begins with an orientation to the assessment and a diagnostic that maps student readiness across algebra, functions, geometry, statistics, probability, modeling, and mathematical reasoning. Students then work through structured instruction that teaches the underlying mathematics, not just shortcuts, with attention to accuracy, explanation, and application. Core content includes: Algebra foundations: expressions, polynomials, factoring, radicals, rational expressions, equations, inequalities, and systems Functions: linear, quadratic, exponential, radical, and rational functions; domain and range; transformations; composition; inverse ideas; and interpreting graphs, tables, and equations Geometry: coordinate geometry, circles, measurement, volume, similarity, congruence, right triangle trigonometry, and geometric reasoning Statistics and probability: data displays, center and spread, association, sampling, experimental design, conditional probability, expected value, and simulation Modeling and quantitative reasoning: choosing models, tracking units, interpreting parameters, validating answers, and communicating conclusions clearly Because CAASPP measures more than computation, the course also develops the habits needed for success on the exam: Explaining reasoning in clear mathematical language Supporting answers with equations, tables, graphs, and written justification Analyzing mistakes and correcting flawed reasoning Managing timing and pacing on computer-based assessments Using digital tools and navigating technology-enhanced item types Practice is built into the course in multiple formats so students can steadily improve: Worked examples that model complete, accurate solutions Guided practice to build confidence with new concepts Independent practice sets by topic Short quizzes and cumulative mixed review Timed drills and performance-task-style problems Full mock assessments with detailed answer explanations Targeted remediation plans based on recurring errors By the end of the course, students should be able to solve grade-appropriate CAASPP mathematics problems accurately, choose efficient solution methods, explain their reasoning in writing, interpret real-world situations mathematically, and approach the assessment with a clear plan for timing, checking work, and earning as much credit as possible.
- Understanding the CAASPP Grade 11 Mathematics Assessment
- Assessment Blueprint and Reporting Categories
- Diagnostic Pre-Assessment
- Interpreting Diagnostic Results
- Building a Personal Study Plan
- Real Number Operations and Properties
- Simplifying Algebraic Expressions
- Structure in Expressions
- Polynomials and Operations
- Factoring Techniques
- Rational Expressions
- Radicals and Rational Exponents
- Common Algebra Errors and Precision Checks
- Solving One-Variable Linear Equations
- Linear Inequalities in One Variable
- Absolute Value Equations and Inequalities
- Graphing Linear Equations
- Writing Linear Equations from Information
- Systems of Linear Equations
- Systems of Linear Inequalities
- Linear Modeling and Rate of Change
- Understanding Quadratic Structure
- Graphing Quadratic Functions
- Solving Quadratic Equations by Factoring
- Solving Quadratics by Completing the Square
- Using the Quadratic Formula
- Quadratic Inequalities
- Modeling with Quadratic Functions
- Comparing Linear and Quadratic Models
- Exponential Growth and Decay
- Graphing Exponential Functions
- Comparing Exponential and Linear Change
- Introduction to Logarithmic Thinking
- Radical Functions
- Solving Radical Equations
- Rational Functions and Their Features
- Applications of Exponential, Radical, and Rational Models
- What Makes a Relation a Function
- Domain and Range
- Function Notation and Evaluation
- Interpreting Graphs, Tables, and Equations
- Function Transformations
- Average Rate of Change
- Composing Functions
- Inverse Functions in Simple Cases
- Rearranging Formulas
- Solving Nonlinear Systems
- Complex Numbers Basics
- Polynomial Equations Beyond Quadratics
- Reasoning About Equivalent Forms
- Checking Solutions and Reasonableness
- Error Analysis in Algebra
- Distance and Midpoint in the Coordinate Plane
- Slope, Parallel Lines, and Perpendicular Lines
- Equations of Circles
- Perimeter, Area, and Surface Area Review
- Volume of Solids
- Scale, Similarity, and Unit Conversions
- Geometric Modeling with Coordinates
- Triangle Congruence Concepts
- Similarity and Proportional Reasoning
- Parallel Lines and Angle Relationships
- Special Right Triangles
- The Pythagorean Theorem and Its Converse
- Trigonometric Ratios in Right Triangles
- Angle of Elevation and Depression Problems
- Geometric Reasoning and Proof Basics
- Types of Data and Displays
- Center and Spread
- Interpreting Box Plots and Histograms
- Scatter Plots and Association
- Line of Best Fit and Residual Thinking
- Correlation Versus Causation
- Sampling Methods and Bias
- Experimental Design
- Interpreting Statistical Claims
- Basic Probability Concepts
- Compound Probability
- Conditional Probability
- Two-Way Tables and Probability
- Permutations and Combinations Basics
- Probability Models and Expected Value
- Simulations for Probability
- Interpreting Risk and Chance in Context
- The Modeling Process
- Choosing an Appropriate Model
- Units, Scale, and Constraints
- Multi-Step Word Problem Translation
- Interpreting Parameters in Context
- Optimization and Feasibility
- Reasonableness and Model Validation
- Communicating Conclusions from Models
- Explaining Mathematical Thinking Clearly
- Using Evidence from Work to Support Claims
- Precision in Mathematical Language
- Responding to Constructed Response Questions
- Critiquing the Reasoning of Others
- Justifying Multiple Solution Methods
- Using Diagrams and Tables to Support Reasoning
- Multiple-Choice and Multi-Select Strategies
- Technology-Enhanced Item Types
- Constructed Response Scoring Expectations
- Using the Digital Tools Effectively
- Timing and Pacing on the Assessment
- Guessing, Checking, and Strategic Estimation
- Reducing Test Anxiety and Maintaining Focus
- Concepts and Procedures Review
- Problem Solving and Modeling Review
- Communicating Reasoning Review
- Data Analysis and Statistical Reasoning Review
- Function Analysis Review
- Geometry and Measurement Review
- Worked Examples for Algebra and Functions
- Worked Examples for Geometry and Trigonometry
- Worked Examples for Statistics and Probability
- Teacher-Guided Error Correction
- Guided Practice for Mixed Skill Problems
- Independent Practice Set: Algebra
- Independent Practice Set: Functions
- Independent Practice Set: Geometry
- Independent Practice Set: Statistics and Probability
- Independent Practice Set: Constructed Response
- Short Quizzes for Retention
- Frequent Errors in Solving Equations
- Frequent Errors in Graph Interpretation
- Frequent Errors in Geometry and Measurement
- Frequent Errors in Statistics and Probability
- Extraneous Solutions and Context Errors
- Building and Using a Mistake Log
- Mixed Review: Algebra and Functions
- Mixed Review: Geometry and Measurement
- Mixed Review: Statistics and Probability
- Mixed Review: Modeling and Reasoning
- Cumulative Review Across All Categories
- Timed Drill: Core Algebra Skills
- Timed Drill: Function Interpretation
- Timed Drill: Geometry and Trigonometry
- Timed Drill: Statistics and Probability
- Performance Task: Multi-Step Modeling
- Performance Task: Explaining and Defending Reasoning
- Mock Test 1: Selected Response Focus
- Mock Test 2: Constructed Response Focus
- Full-Length Comprehensive Mock Assessment
- Post-Test Analysis and Score Interpretation
- Detailed Solution Review
- Remediation for Algebra Gaps
- Remediation for Function and Graphing Gaps
- Remediation for Geometry and Trigonometry Gaps
- Remediation for Statistics and Probability Gaps
- Final Week Review Plan
- Test Day Readiness Checklist