Course description:
This course empowers students to develop a deeper understanding of fundamental mathematical concepts, emphasizing problem-solving, reasoning, and real-world applications. Students will explore topics in number sense and operations, algebra, geometry, measurement, data management, and probability. Through hands-on activities and collaborative projects, they will enhance their skills in mathematical communication, develop strategies for approaching complex problems, and make connections between mathematics and everyday life. By the end of the course, students will be well-prepared for the transition to high school mathematics, with a strong foundation in essential skills and confidence in their ability to think critically and solve problems.

Chapters and Description:

• Number Sense and Operations
  In this unit, students expand their understanding of numbers, including rational numbers, and delve into concepts such as fractions, decimals, and percentages. They will learn to perform operations with integers and rational numbers, practicing these skills through problem-solving scenarios. Students will also strengthen their number fluency and estimation skills, applying them in real-life contexts, such as budgeting and measurement.
• Algebraic Expressions and Equations
  Students will explore algebra by learning to create, interpret, and evaluate algebraic expressions and equations. They will practice solving linear equations and inequalities and use algebraic reasoning to analyze patterns and relationships. Through hands-on activities and applications, they will see how algebra connects to real-world scenarios, like calculating distances and managing finances.
• Geometry and Spatial Sense
  In this unit, students will study geometric relationships, focusing on properties of two- and three-dimensional shapes. They will work with transformations (translations, reflections, rotations, and dilations) and will learn to calculate surface area, volume, and angle measurements. By the end of the unit, students will be able to analyze complex shapes and apply geometry to solve spatial problems they may encounter in their daily lives.
• Measurement and Proportional Reasoning
  Students will work on skills related to measuring length, area, and volume, as well as understanding metric and imperial systems. They will investigate the concept of proportional reasoning and practice using ratios, rates, and unit rates. Real-world applications, such as comparing prices, scaling recipes, and converting units, will help them make practical connections with measurement and proportions.
• Data Management and Probability
  This unit introduces students to the collection, organization, and interpretation of data. Students will learn to construct and analyze graphs, calculate measures of central tendency (mean, median, and mode), and understand the fundamentals of probability. Through projects and real-life applications, such as predicting outcomes and evaluating data trends, they will develop critical thinking skills and become informed decision-makers.
• Financial Literacy
  Students will gain an understanding of fundamental financial concepts, including budgeting, saving, investing, and simple interest calculations. They will explore financial decision-making and consider how to manage resources effectively. This unit emphasizes the importance of personal finance skills, helping students build a foundation for future financial responsibilities.