Download Learning Goals Ch. 1

Algebra 2
Ch. 1
CCSS (Common Core State Standards)
A-SSE Seeing Structure in Expressions
Interpret the structure of expressions
1. Interpret expressions that represent a quantity in terms of its context.
a. Interpret parts of an expression, such as terms, factors, and coefficients.
b. Interpret complicated expressions by viewing one or more of their parts as a single entity.
2. Use the structure of an expression to identify ways to rewrite it.
A-APR Arithmetic with Polynomials and Rational Expressions
Perform arithmetic operations on polynomials
1. Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations
of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
Understand the relationship between zeros and factors of polynomials
3. Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough
graph of the function defined by the polynomial.
A-CED Creating Equations
Create equations that describe numbers or relationships
1. Create equations and inequalities in one variable and use them to solve problems
2. Create equations in two or more variables to represent relationships between quantities; graph equations on
coordinate axes with labels and scales.
A-REI Reasoning with Equations and Inequalities
Represent and solve equations and inequalities graphically
11. Explain why the x-coordinates of the points where the graphs of the equations y 5 f(x) and y 5 g(x) intersect are
the solutions of the equation f(x) 5 g(x); find the solutions approximately. Include cases where f(x) and/or g(x) are
linear, polynomial, rational, absolute value, exponential, and logarithmic functions.
F-IF Interpreting Functions
Interpret functions that arise in applications in terms of the context
4. For a function that models a relationship between two quantities, interpret key features of graphs and tables in
terms of the quantities, and sketch graphs showing key features given a verbal description of
the relationship.
5. Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.
Analyze functions using different representations
7. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases
and using technology for more complicated cases.
a. Graph linear and quadratic functions and show intercepts, maxima, and minima.
c. Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end
behavior.
Analyze functions using different representations
8. Write a function defined by an expression in different but equivalent forms to reveal and explain different
properties of the function.
b. Use the properties of exponents to interpret expressions for exponential functions.
F-BF Building Functions
Build a function that models a relationship between two quantities
1. Write a function that describes a relationship between two quantities.
b. Combine standard function types using arithmetic operations.
Learning Goals
As the chapter moves along, evaluate yourself using the Shamrock Learning Scale.
1.1
 _____ I can identify multiple patterns within a sequence.

_____ I can use patterns to solve problems.

_____ I can generate algebraic expressions using geometric patterns.

_____ I can represent algebraic expressions in different forms.

_____ I can determine whether expressions are equivalent.

_____ I can identify patterns as linear, exponential, or quadratic using a visual model, a table of
1.2
values, or a graph.
1.3

_____ I can identify equivalent forms of functions in various representations.

_____ I can model situations using tables, graphs, and equations.

_____ I can use functions to make predictions.

_____ I can determine whether two forms of a function are equivalent.

_____ I can use multiple representations of functions to model and solve problems.

_____ I can use multiple representations of functions to analyze problems.

_____ I can model operations on functions graphically.

_____ I can sketch the graph of the sum, difference, and product of two functions on a coordinate
1.4
1.5
plane.

_____ I can predict and verify the graphical behavior of functions.

_____ I can build functions graphically.

_____ I can predict and verify the behavior of functions using a table of values.

_____ I can build functions using a table of values.