The Math Content Team has released new multiple choice, select all that apply, multi-option, and constructed response questions that are aligned to the Common Core conceptual category Algebra at the high school level. The questions in this content release refer to the domain of Seeing Structure in Expressions. The following standards are included in the new content release:
Interpret the structure of expressions.
- A.SSE.1 â Interpret expressions that represent a quantity in terms of its context.
- Interpret parts of an expression, such as terms, factors, and coefficients.
- Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)n as the product of P and a factor not depending on P.
Write expressions in equivalent forms to solve problems.
- A.SSE.3 â Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
- Factor a quadratic expression to reveal the zeros of the function it defines.
- Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.
- Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15t can be rewritten as (1.151/12)12tâ 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.
- A.SSE.4 â 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.
Sample tasks that students are asked to complete:
- Identify the coefficient of a term in an expression.
- Find the GCF of multiple terms.
- Choose the expression that represents a verbal description.
- Interpret complicated expressions by viewing one or more of their parts as a single entity.
- Factor a quadratic expression to reveal the zeros of the function it defines.
- Use the discriminant of a quadratic function to determine the number and/or types of roots.
- Complete the square of a quadratic to find a missing coefficient of a term of the function.
- Compare two or more quadratic functions.
- Use the properties of exponents to transform expressions for exponential functions.
- Estimate the monthly mortgage payment.
- Use a geometric sequence to find the nth term.
- Identify geometric sequences.
Sample Questions
