Uses of other visual aids
To draw base ten blocks, a large square can represent 100, a thin rectangle can represent 10, and a small square can represent 1. Similarly, to draw algebra tiles, a large square can represent x^2, a thin rectangle can represent x, and a small square can represent 1. The use of squares and rectangles is convenient if we want to distinguish between positive and negative, as we can simply draw a + or - sign within the square or rectangle. If we are considering only positive values, we can use a large square for 100 or x^2, a line segment for 10 or x, and a dot or small circle for 1.
Tape diagrams can be used for adding and subtracting within 10.
Number bonds can be used for adding and subtracting small numbers. Can also be used when adding two-digit numbers, using the make tens strategy. For example, to add 29 and 33, we can decompose 33 into 1 and 32. Adding 29 and 1 gives us 30. Adding the remaining 32 gives us 64, and we're done.