Directed number and the order of operations
Pages
Adding and subtracting negative numbers
Number-line reasoning, two signs meeting, and temperature differences.
Multiplying and dividing negative numbers
The sign of a product or quotient, and what several negatives together do.
Order of operations
Brackets, powers and roots first, with the fraction bar as grouping.
Powers of a negative number
Why −3² and (−3)² differ, and how an odd or even index fixes the sign.
Checking an answer with the inverse operation
Undoing a calculation with its inverse to test an answer without repeating it.
Reordering a calculation
Using commutativity and associativity to pair the easiest numbers first.