In these two companion papers, a learning activity is introduced that teaches students how mathematics works through the visual aid of picture grids. The picture grids are composed of 60 different acrylic stained-glass window overlays. Each fractional part is represented by a different color: fifths are green, quarters are yellow, etc. The square grids can be easily maneuvered by both students and teachers. The papers report on a teacher demonstrating how students can visualize math strategies. The teacher also shows that manipulatives can help clarify processes as students learn various ways to find solutions. Part 1 introduces picture grids and shows how they work with fractions and decimals. Part 2 tackles squares and square roots using Cuisenaire rods. Games are also included. Suggested games are representative of the many ways in which teachers can simplify the concepts essential for understanding fractions. Because the grids can be maneuvered, students can actually see the sections as they are divided, thus learning the reasons for their answers. When students are encouraged to develop a visual understanding of how numbers are used, numbers are no longer a mystifying body of incomprehensible symbols. (PVD)