A-SSE.B. Write expressions in equivalent forms to solve problems.

• Building a General Quadratic Function
• Taxes and Sales

A-SSE.B.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

• Graphs of Quadratic Functions
• Ice Cream
• Identifying Quadratic Functions (Standard Form)
• Increasing or Decreasing? Variation 2
• Profit of a company
• Profit of a company, assessment variation
• Vertex of a parabola with complex roots

A-SSE.B.3.a. Factor a quadratic expression to reveal the zeros of the function it defines.

• A Cubic Identity

A-SSE.B.3.b. Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.

• Rewriting a Quadratic Expression

A-SSE.B.3.c. Use the properties of exponents to transform expressions for exponential functions. For example the expression $1.15^t$ can be rewritten as $(1.15^{1/12})^{12t} \approx 1.012^{12t}$ to reveal the approximate equivalent monthly interest rate if the annual rate is $15\%$.

• Forms of exponential expressions

A-SSE.B.4. Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. For example, calculate mortgage payments.

• A Lifetime of Savings
• Cantor Set
• Course of Antibiotics
• Triangle Series
• YouTube Explosion