Learning Domain: Algebra: Seeing Structure in Expressions
Standard: Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
Learning Domain: Functions: Building Functions
Standard: Write a function that describes a relationship between two quantities.*
Learning Domain: Functions: Building Functions
Standard: Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
Learning Domain: Functions: Interpreting Functions
Standard: Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.*
Learning Domain: Functions: Interpreting Functions
Standard: Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
Cluster: Write expressions in equivalent forms to solve problems
Standard: Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
Cluster: Analyze functions using different representations
Standard: Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.*
Cluster: Analyze functions using different representations
Standard: Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
Cluster: Build a function that models a relationship between two quantities
Standard: Write a function that describes a relationship between two quantities.*
Cluster: Build new functions from existing functions
Standard: Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.