Cluster: Write expressions in equivalent forms to solve problems
Standard: 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.*
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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.
Degree of Alignment:
Not Rated
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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.
Degree of Alignment:
Not Rated
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Cluster: Write expressions in equivalent forms to solve problems
Standard: Factor a quadratic expression to reveal the zeros of the function it defines.
Degree of Alignment:
Not Rated
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Cluster: Write expressions in equivalent forms to solve problems
Standard: Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.
Degree of Alignment:
Not Rated
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Cluster: Write expressions in equivalent forms to solve problems
Standard: Use the properties of an expression to identify ways to rewrite it. For example, see x4 - y4 as (x2)2 - (y2)2, thus recognizing it as a difference of squares that can be factored as (x2 - y2)(x2 + y2).
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Not Rated
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Learning Domain: Algebra: Seeing Structure in Expressions
Standard: Write expressions in equivalent forms to solve problems
Indicator: Use the properties of an expression to identify ways to rewrite it. For example, see x4 - y4 as (x2)2 - (y2)2, thus recognizing it as a difference of squares that can be factored as (x2 - y2)(x2 + y2).
Degree of Alignment:
Not Rated
(0 users)
Learning Domain: Algebra: Seeing Structure in Expressions
Standard: Write expressions in equivalent forms to solve problems
Indicator: Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.
Degree of Alignment:
Not Rated
(0 users)
Learning Domain: Algebra: Seeing Structure in Expressions
Standard: Write expressions in equivalent forms to solve problems
Indicator: Factor a quadratic expression to reveal the zeros of the function it defines.
Degree of Alignment:
Not Rated
(0 users)
Learning Domain: Algebra: Seeing Structure in Expressions
Standard: Write expressions in equivalent forms to solve problems
Indicator: 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.*
Degree of Alignment:
Not Rated
(0 users)
Learning Domain: Algebra: Seeing Structure in Expressions
Standard: Write expressions in equivalent forms to solve problems
Indicator: Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
Degree of Alignment:
Not Rated
(0 users)
Learning Domain: Functions: Building Functions
Standard: Build new functions from existing functions
Indicator: 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.
Degree of Alignment:
Not Rated
(0 users)
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