Fun Math using Cardboard Tiles

Using cardboard tiles, learn and visualize integers, positive and negative values, through addition and subtraction with zero pairs, before multiplying integers in the next video.

Use cardboard tiles to perform addition, subtraction, and multiplication with integers by arranging tiles in rows and columns and flipping signs to show negatives and positives, and anticipate algebraic expressions.

Use cardboard tiles to model algebraic expressions, flip for subtraction, and represent x, x^2, and constants to add, subtract, and simplify to results like 3x+3, x-4, and x^2-3x+2.

learn to multiply linear algebraic expressions using algebra tiles by forming a rectangle and reading the area as the product. practical examples show expanding (x+3)(x+2) and (x-1)(2x+3) to derive polynomials.

Learn to factor quadratic expressions using algebra tiles by forming neat rectangles, revealing factors such as x+1 and x+2, x-2 and x-3, or 2x+1 and x-2.

Learn to solve linear equations with algebra tiles, balancing both sides by adding units, and isolate x to reveal solutions such as x = 1 and x = 2.

Learn a card-based method to solve linear equations, using circular and rectangular cards to perform operations like multiply by three and add two, with examples such as 3x+2=8 and x-3=9.

Demonstrate algebraic identities with cardboard tiles by dissecting a square and rearranging to derive (a+b)^2=a^2+2ab+b^2 and (a-b)^2=a^2-2ab+b^2.

Explore the cube-based demonstration of the identity (a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3 using 27 cardboard cubes, breaks, and subtraction to unveil algebraic identities.