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MATH
Algebra 3
A Year at a Glance
Quarter 1 – logarithms, graph exponential functions
First Quarter
Academic Standards
Indicator #
Quarters
1
Student Performance Indicators
IA-4.6
IA-4-10
IA-4.11
Carry out a procedure to simplify algebraic expressions
involving logarithms.
Carry out a procedure to solve logarithmic equations
algebraically.
Carry out a procedure to solve logarithmic equations
graphically.
X
X
X
IA-4.13
Carry out a procedure to graph logarithmic functions.
X
IA-4.14
Carry out a procedure to graph exponential functions.
X
2
3
4
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MATH
Algebra 3
A Year at a Glance
Quarter 2 – conic section - circles & ellipses
Second Quarter
Academic Standards
Indicator #
Quarters
1
2
Student Performance Indicators
IA-5.2
Carry out a procedure to graph the circle whose equation is
the form x 2 y 2 r 2 .
Carry out a procedure to write an equation of a circle
centered at the origin when given its radius.
PC-6.1
Carry out a procedure to graph the circle whose equation is
the form (x h)2 (y k)2 r 2 .
X
PC-6.2
Analyze given information about the center and the radius or
the center and the diameter to write an equation of a circle.
X
PC-6.3
Apply a procedure to calculate the coordinates of points
where a line intersects a circle.
X
IA-5.1
IA-5.3
IA-5.4
PC-6.4
Carry out a procedure to graph the ellipse whose equation is
x2 y2
the form 2
1.
a
b2
Carry out a procedure to write an equation of an ellipse
centered at the origin when given information from among
length of major axis, length of minor axis, and vertices.
Carry out a procedure to graph the ellipse whose equation is
2
2
x h
y k
1.
the form
a2
b2
X
X
X
X
X
3
4
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Quarters
2
3
4
MATH
Algebra 3
A Year at a Glance
Quarter 3 – conic section – hyperbolas & parabolas
Third Quarter
Indicator #
Academic Standards
1
Student Performance Indicators
IA-5.5
IA-5.6
PC-6.5
Carry out a procedure to graph the hyperbola whose equation
x2 y2
is the form 2
1.
a
b2
Carry out a procedure to write an equation of a hyperbola
centered at the origin with specified vertices.
Carry out a procedure to graph the hyperbola whose equation
2
2
x h
y k
1.
is the form
a2
b2
X
X
X
PC-6.6
Carry out a procedure to graph the parabola whose equation
is the form y k a(x h)2 .
X
IA-5.7
Match the equation of a conic section with its graph.
X
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MATH
Algebra 3
A Year at a Glance
Quarter 4 – sequences & series
Fourth Quarter
Academic Standards
Indicator #
Quarters
1
2
3
4
Student Performance Indicators
IA-6.1
IA-6.2
IA-6.3
IA-6.4
Categorize a sequence as arithmetic, geometric, or neither.
Carry out a procedure to write a specified term of an
arithmetic or geometric sequence when given the nth term of
the sequence.
Carry out a procedure to write a formula for the nth term of
an arithmetic or geometric sequence when given at least four
consecutive terms of the sequence.
Carry out a procedure to write a formula for the nth term of
an arithmetic or geometric sequence when given at least four
terms of the sequence.
X
X
X
X
IA-6.5
Represent an arithmetic or geometric series by using sigma
notation.
X
IA-6.6
Carry out a procedure to calculate the sum of an arithmetic
or geometric series written in sigma notation.
X
IA-6.7
Carry out a procedure to determine consecutive terms of a
sequence that is defined recursively.
X
IA-6.8
IA-6.9
Carry out a procedure to define a sequence recursively when
given four or more consecutive terms of the sequence.
Translate between the explicit form and the recursive form of
sequences.
X
X