### ***Practice 1 - Algebra Tiles*** ![[Pasted image 20260421142311.png]] Algebra tiles are physical manipulatives that represent variables and constants as colored rectangular and square pieces. Students use them to model expressions, equations, and operations — including combining like terms and solving one-step equations — before moving to abstract symbolic manipulation. |Pros|Cons| |---|---| |Makes abstract algebraic concepts concrete and visible.|Negative values and subtraction can be confusing with physical tiles without careful instruction.| |Strong bridge between arithmetic and algebraic thinking.|Students must transition carefully to symbolic work or may become dependent on tiles.| |Supports hands-on engagement for students who struggle with symbolic algebra.|Requires preparation and management of physical materials.| **** ### ***Practice 2 - Balance Scale Model for Equations*** ![[Pasted image 20260421142329.png]] The balance scale model teaches students that an equation represents two equal sides in balance. Adding, subtracting, multiplying, or dividing must be done to both sides equally to maintain balance. This visual metaphor gives students a concrete and intuitive way to understand the properties of equality before working symbolically. |Pros|Cons| |---|---| |Intuitive and visual — students immediately grasp the concept of equality as balance.|The metaphor breaks down with negative numbers and more complex equation types.| |Directly builds understanding of inverse operations and equation solving.|Students must eventually move beyond the model to efficient symbolic methods.| |Easy to demonstrate physically with a real balance scale or digitally.|Some students may struggle to transfer the visual model to written equations.| ---