Course ePortfolio

Prerequisites include a solid foundation in pre-algebra concepts: proficiency in arithmetic (fractions, decimals, integers, order of operations); familiarity with variables, expressions, and basic equations; understanding ratios, proportions, percentages; working with the coordinate plane; basic geometric concepts (area, perimeter, volume of simple shapes); and basic data representation (bar graphs, pie charts, mean, median, mode). Students should be able to read/interpret word problems and possess basic problem-solving skills. While these are ideal, students with some gaps can succeed with extra support.

Pedagogical Approach

This course will employ a student-centered, active learning approach. Instruction will balance direct instruction with inquiry-based activities, group work, and hands-on projects. Emphasis will be placed on:

• Conceptual Understanding: Using multiple representations (visual, numerical, algebraic, verbal) to connect concepts to real-world applications. Focusing on why methods work, not just how.
• Problem-Solving: Explicitly teaching problem-solving strategies and providing ample practice.
• Mathematical Communication: Encouraging clear and precise explanations of reasoning, both verbally and in writing.
• Technology Integration: Using tools like GeoGebra and Desmos to enhance exploration and visualization.
• Differentiated Instruction: Providing varied resources and activities to meet diverse learning needs.

A positive, collaborative classroom environment will be fostered, emphasizing growth mindset and respectful communication.

Learning Outcomes

Algebra: Solve multi-step linear equations/inequalities; graph linear equations/inequalities; solve systems of two linear equations; simplify expressions with exponents; perform polynomial operations; factor simple polynomials; define, identify, and represent functions.

Geometry: Perform/describe geometric transformations; prove triangle congruence/similarity; apply Pythagorean Theorem; use trigonometric ratios; calculate area/perimeter of shapes; calculate volume of simple solids.

Statistics: Create/interpret data displays; calculate/interpret measures of central tendency/dispersion; understand/calculate basic probabilities.

Overall: Apply math concepts to solve problems; communicate math ideas effectively; analyze situations, connect concepts, justify reasoning; use technology appropriately.

Assessment

• Daily Checks: Quick quizzes or exit tickets to gauge understanding of recent material.
• Class Participation: Evaluating engagement in discussions and activities.
• Homework Review: Checking completion and understanding of assigned problems.

Summative assessments will include:

• Unit Tests: Assessing mastery of key concepts and skills after each unit.
• Projects: Applying learned concepts to real-world scenarios or open-ended problems. These could involve data analysis, geometric constructions, or algebraic modeling.
• Presentations: Students presenting solutions or explaining mathematical concepts.

Emphasis will be placed on:

• Problem-Solving: Assessing the ability to apply concepts to solve diverse problems.
• Mathematical Communication: Evaluating clear and precise explanations of reasoning.
• Conceptual Understanding: Assessing understanding beyond rote memorization.

A variety of question types (multiple choice, short answer, extended response) will be used. Feedback will be provided regularly to guide learning.

Other Information

None