- 1. Index Notation: Adding vs Multiplying
Write repeated addition with a coefficient and repeated multiplication with an index, read powers, and tell $3x$ from $x^3$.
- 2. Multiplying Terms and the Product Rule
Multiply terms by multiplying the coefficients and then the letters, adding the indices when the base is the same.
- 3. Dividing Terms and the Quotient Rule
Divide terms using a fraction bar, cancel common letters, subtract indices when the base is the same, and meet the zero index.
- 4. Fractional Coefficients
Write fraction expressions with fractional coefficients, add and subtract them, multiply them by numbers, and test whether two fraction expressions are the same.
- 5. Power of a Power
Raise a power to another power by multiplying the indices, handle a number inside the bracket, and use the rules to find unknown indices.
- 6. Add or Multiply? Like Terms with Powers
Collect like terms that have powers, tell adding from multiplying, keep unlike terms apart, and test statements as always, sometimes or never true.
- 7. Expressions from Words and Shapes
Turn words and stories into expressions, find perimeters and areas with algebraic sides, handle compound shapes, and reason about shapes.
