Make sense of problems and persevere in solving them. Algebra II is a course in which students can learn some technical methods for performing algebraic calculations and transformations, but sense. As the modeling practice is ubiquitous in Algebra II, enhanced by the inclusion of exponential and logarithmic functions as modeling tools Contributing Practice Standards MP. Reason abstractly and quantitatively.
The content standards covered in this unit Seeing Structure in Expressions Interpret expressions that represent a quantity in terms of its context Modeling is best interpreted not as a collection of isolated topics but in relation to other standards.
The star symbol sometimes appears on the heading for a group of standards; in that case, it should be understood to apply to all standards in that group. Use the structure of an expression to identify ways to rewrite it. Modeling is best interpreted not as a collection of isolated topics but in relation to other standards.
For example, if the function h n gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.
Estimate the rate of change from a graph. For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.
Arithmetic with Polynomials and Rational Expressions A. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
Reasoning with Equations and Inequalities A. Linear, Quadratic, and Exponential Models F.rutadeltambor.com1a Identifying the Parts of An Expression rutadeltambor.com1b Interpreting Expressions rutadeltambor.com2 Rewriting Expressions rutadeltambor.com3a Factoring Quadratic Expressions rutadeltambor.com3b Quadratic Functions and Completing the Square rutadeltambor.com3c Identifying Equivalent Exponential Expressions rutadeltambor.com1a Writing Functions to Model Relationships.
Seeing Structure in Expressions. rutadeltambor.com2 — Use the structure of an expression to identify ways to rewrite it. For example, see x 4 — y 4 as (x²)² — (y²)², thus recognizing it as a difference of squares that can be factored as (x² — y²)(x² + y²).
rutadeltambor.com — Factor a quadratic expression .
rutadeltambor.com1a: Interpret parts of an expression, such as terms, factors, and coefficients, in context. rutadeltambor.com1b: Given situations which utilize formulas or expressions with multiple terms and/or factors, interpret the meaning (in context) of individual terms or factors.
• A-SSE Use the structure of an expression to identify ways to rewrite it. Write expressions in equivalent forms to solve problems. • A-SSE Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. a. rutadeltambor.com3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
★ a. Factor a quadratic expression to reveal the zeros of the function it defines. b. Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines. 4–2: (A-SSE.2) Using the Structure of an Expression to Identify Ways to Rewrite It 4–3: (A-SSE.3) Factoring Quadratic Expressions to Reveal Zeroes 4–4: (A-SSE.3) Completing the Square to Reveal Maximum or Minimum Values