Overview

This 90-minute session integrates the essential Algebra 1 skills from the 2025 SC EOC Study Guide within the International Baccalaureate Middle Years Programme (MYP) framework for mathematics (MYP Year 3, approx. Grade 9). The lesson emphasizes inquiry, conceptual understanding, and real-world application with a focus on conceptual skills, critical thinking, and communication. It aligns closely with IB’s Approaches to Learning (ATL) skills such as thinking, communication, and self-management.

---

Learning Objectives

By the end of this lesson, students will be able to:

MYP Key Concept: Relationships

• Analyze and interpret linear and quadratic relationships in various forms (graphs, tables, equations).
• Understand and describe associations through scatterplots and lines of best fit.

MYP Related Concepts: Patterns, Functions, and Variation

• Solve and graph systems of equations and inequalities.
• Simplify and manipulate radicals using exponent rules.
• Evaluate arithmetic and geometric sequences with formulas.

ATL Skills Developed:

• Critical Thinking: Interpreting data, analyzing correlation and causation.
• Communication: Explaining algebraic reasoning and graph descriptions to peers.
• Self-management: Managing time during collaborative tasks and individual practice.

---

Standards Alignment

• IB MYP Mathematics Objectives B, C, and D: applying mathematics in real-world contexts; explaining, justifying, and communicating mathematical ideas; using technology effectively.
• Supports US Common Core State Standards (CCSS) for Algebra 1 including interpreting functions, solving systems, and working with radicals.

---

Materials Needed

• Graphing calculators
• Whiteboards with markers
• Printed scatterplot and frequency table handouts
• Algebra tiles or visual aids
• Computers/tablets with graphing software (optional)

---

Lesson Breakdown

1. Introduction & Hook (10 minutes)

• Brief discussion: Present a real-world scenario involving data analysis (e.g., relationship between time spent studying and test scores).
• Pose an inquiry question: "How can we represent and interpret the relationship between two variables algebraically and graphically?"
• Activate prior knowledge by recalling basic definitions of correlation, slope, and y-intercept.

2. Exploring Data: Two-Way Frequency Tables & Scatterplots (20 minutes)

• Activity: In pairs, students analyze provided two-way frequency tables to calculate relative frequencies.
• They classify associations as positive, negative, or none and justify their reasoning (refer to IB’s emphasis on communication and critical thinking).
• Create scatterplots from data points; identify correlation strength (weak, moderate, strong).
• Teacher models finding lines of best fit using graphing calculators or software, emphasizing slope as rate of change and y-intercept as starting value.
• Discussion emphasizing “Correlation ≠ causation.”

3. Radicals & Numerical Reasoning (15 minutes)

• Mini-lesson on simplifying radicals and converting between radicals and exponents.
• Guided examples: Simplify √50, express x^(1/2) in radical form.
• Practice exercises: students simplify and operate on radicals with immediate feedback using whiteboards.

4. Solving & Graphing Linear/Quadratic Equations (20 minutes)

• Interactive note: Review solving linear and quadratic equations; introduce vertex, axis of symmetry, and graphing forms (standard, vertex, factored).
• Group Activity:
  • Each group receives different quadratic functions to find vertex, axis of symmetry, intercepts, and sketch the graph.
  • Identify max/min and intervals where function is increasing or decreasing.
• Present function notation f(x), practice domain & range identification.

5. Systems of Equations and Inequalities (15 minutes)

• Review graphing systems by substitution and elimination methods.
• Introduce graphing inequalities – solid vs. dashed lines and shading solution regions.
• Students solve provided systems and graph inequalities on graph paper or graphing tech.

6. Sequences & Exponential Functions (10 minutes)

• Brief explanation of arithmetic and geometric sequences with formulas.
• Show examples of exponential growth and decay, identify y-intercept (initial value), compare to linear growth.
• Students complete a quick matching task based on sequence formulas and graphs.

7. Wrap-Up & Reflection (5 minutes)

• Students write 3 key takeaways about patterns and relationships in algebra using IB reflection prompts to build metacognition.
• Quick exit quiz or poll reinforcing key concepts: slope, types of correlation, solving quadratics, sequences.

---

Differentiation Strategies

• Visual support and step-by-step scaffolding for English Language Learners and students with learning difficulties.
• Extension challenges: Analyze nonlinear scatterplots, explore inequalities with three variables, or delve deeper into transformations of functions.

---

Assessment & Feedback

• Formative: Observation during pair/group work, immediate feedback on whiteboard exercises, oral questioning.
• Summative: Exit quiz based on objectives (uploaded to school system or paper) with multiple-choice and short answer prompts.
• Reflective Journaling: Quick student reflection aligned with IB Learner Profile (e.g., “Inquirer,” “Thinker”).

---

Reflection for Teachers

• Note student engagement with real-world data scenarios and graphing tools.
• Adjust pacing in future lessons based on mastery of radicals and systems.
• Explore integration of technology and inquiry by inviting students to collect their own data for analysis next class.

---

This plan fosters a deep conceptual understanding aligned with the IB MYP mathematics framework, emphasizing inquiry, real-world connections, and development of both mathematical and transversal skills.