Math Fundamentals: 5A Fraction Exploration

6-week session/ 45-minute virtual sessions, that's 4 and 1/2 hours of learning! Sept. 9, 16, 23, 30 (skip Oct. 7) Oct 14, 21 11:00-11:45am Join our virtual workshops and discover the power of fraction exploration! This workshop is designed to equip students with the tools and strategies to help learners develop a deep conceptual understanding of fractions. We will move beyond the "part-of-a-whole" definition to explore fractions as meaningful numbers that can be compared, ordered, and used in calculations. I. Fractions as Numbers: Beyond the Part-of-a-Whole We will begin by establishing that fractions are not just parts of a whole but are numbers in their own right, each with a specific location on the number line. We will use visual tools like fraction strips and number lines to demonstrate how fractions like 1/2 or 3/4 have a definite magnitude and can be ordered just like whole numbers. We will also explore the concept of unit fractions (fractions with a numerator of 1), as they are the building blocks for all other fractions. II. Exploring Key Fraction Concepts: Equivalence and Comparison This section will focus on two critical fraction concepts: equivalence and comparison. Equivalent Fractions: Using visual tools like pattern blocks and fraction strips, we will visually demonstrate how different fractions can represent the same value. For example, we will see that 1/2 is the same size as 2/4 and 3/6. This visual understanding is key to preparing learners for fraction operations. Fraction Comparison: We will explore multiple strategies for comparing fractions, including comparing them to a benchmark fraction (like 1/2) and finding common denominators. Visual models will be used to show why, for example, 3/4 is greater than 2/3. III. Multiple Models and Tools for Conceptual Understanding To ensure a comprehensive understanding, we will explore fractions through a variety of models and visual tools. Number Line: We will use number lines to help students visualize fractions as points in space, emphasizing that fractions have a magnitude and are numbers just like any other. Area Model: Using visual models like fraction strips and pattern blocks, we will partition shapes into equal parts to represent fractions. This is a foundational model for understanding the "part-of-a-whole" concept. Set Model: We will use discrete visual objects to represent fractions, such as "3 out of 5 apples are red." This model is helpful for connecting fractions to real-world scenarios.