Unit 4 – Rational and Radical Relationships

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Advanced Algebra
Pacing Calendar
Unit 1: Quadratics
Revisited
Students learn that when
quadratic equations do not
have real solutions the
number system must be
extended so that solutions
exist, analogous to the way in
which extending the whole
numbers to the negative
numbers allows x+1 = 0 to
have a solution. Students
explore relationships between
number systems: whole
numbers, integers, rational
numbers, real numbers, and
complex numbers. Students
will perform operations with
complex numbers and solve
quadratic equations with
complex solutions.
Sunday
Monday
Tuesday
Wednesday
August 2015
Thursday
Friday
Saturday
1
2
3
9
10
4
5
6
7
8
First Day of
School
Culture
Building and
Norm Setting
Culture
Building and
Norm Setting
11
12
13
14
15
18
19
20
21
22
25
26
27
28
29
Unit 1 – Quadratics Revisited
16
17
Unit 1 – Quadratics Revisited
Assessments
Pre Administration SLO
Window Aug. 10th-Sept.11th
23
24
Unit 1 – Quadratics Revisited
30
31
Unit 1
Advanced Algebra
Pacing Calendar
Unit 2: Operations with
Polynomials
Students draw on analogies
between polynomial
arithmetic and base-ten
computation, focusing on
properties of operations,
particularly the distributive
property. Students connect
multiplication of polynomials
with multiplication of multidigit integers, and division of
polynomials with long
division of integers. Students
will find inverse functions
and verify by composition
that one function is the
inverse of another function.
Sunday
Monday
Tuesday
Wednesday
1
Thursday
2
7
Labor Day
13
14
8
Friday
3
Saturday
4
5
10
11
12
16
17
18
19
23
24
25
26
Unit 1 – Quadratics Revisited
6
September 2015
Unit 1 Extend/Review/Assess/Reteach
9
Unit 2 – Operations with Polynomials
15
Unit 2 – Operations with Polynomials
20
21
22
Unit 2 – Operations with Polynomials
27
28
29
Unit 2 – Operations with Polynomials
30
Advanced Algebra
Pacing Calendar
Unit 3: Polynomial
Functions
In this unit, students continue
their study of polynomials by
identifying zeros and making
connections between zeros of
a polynomial and solutions of
a polynomial equation.
Students will see how the
Fundamental Theorem of
Algebra can be used to
determine the number of
solutions of a polynomial
equation and will find all the
roots of those equations.
Students will graph
polynomial functions and
interpret the key
characteristics of the
function.
Sunday
Monday
Tuesday
Wednesday
October 2015
Thursday
Friday
1
Saturday
2
3
9
10
Unit 2 – Operations with
Polynomials
4
5
Unit 2
11
7
13
12
8
Teacher
Professional
Learning
Unit 2 Extend/Review/Assess/Reteach
Fall Break
18
6
Fall Break
14
15
16
17
20
21
22
23
24
27
28
29
30
31
Unit 3 – Polynomial Functions
19
Unit 3 – Polynomial Functions
25
26
Unit 3 – Polynomial Functions
Advanced Algebra
Pacing Calendar
Unit 3: Polynomial
Functions
In this unit, students continue
their study of polynomials by
identifying zeros and making
connections between zeros of
a polynomial and solutions of
a polynomial equation.
Students will see how the
Fundamental Theorem of
Algebra can be used to
determine the number of
solutions of a polynomial
equation and will find all the
roots of those equations.
Students will graph
polynomial functions and
interpret the key
characteristics of the
function.
Sunday
Monday
1
Tuesday
2
Wednesday
November 2015
Thursday
Friday
Saturday
3
4
5
6
7
10
11
12
13
14
Unit 3 – Polynomial Functions
8
9
Unit 3 – Polynomial Functions
15
16
Unit 3 Extend/Review/Assess/Reteach
17
18
19
20
21
25
26
27
28
Unit 4 – Rational and Radical Relationships
22
23
24
Thanksgiving Holiday
29
30
Unit 4
Advanced Algebra
Pacing Calendar
Sunday
Monday
Tuesday
Wednesday
December 2015
Thursday
Friday
Saturday
Unit 4: Rational and
Radical Relationships
1
Rational numbers extend the
arithmetic of integers by
allowing division by all
numbers except 0. Similarly,
rational expressions extend
the arithmetic of polynomials
by allowing division by all
polynomials except the zero
polynomial. A central theme
of this unit is that the
arithmetic of rational
expressions is governed by
the same rules as the
arithmetic of rational
numbers. Similarly, radical
expressions follow the rules
governed by irrational
numbers.
2
3
4
5
9
10
11
12
16
17
18
End of First
Semester
19
23
24
25
26
Unit 4 – Rational and Radical Relationships
6
7
8
Unit 4 – Rational and Radical Relationships
13
14
15
Unit 4 – Rational and Radical Relationships
20
21
22
Semester Break (December 22- January 5)
27
28
29
30
31
Advanced Algebra
Pacing Calendar
Unit 4: Rational and
Radical Relationships
Rational numbers extend the
arithmetic of integers by
allowing division by all
numbers except 0. Similarly,
rational expressions extend
the arithmetic of polynomials
by allowing division by all
polynomials except the zero
polynomial. A central theme
of this unit is that the
arithmetic of rational
expressions is governed by
the same rules as the
arithmetic of rational
numbers. Similarly, radical
expressions follow the rules
governed by irrational
numbers.
Sunday
Monday
Tuesday
Wednesday
January 2016
Thursday
Friday
Saturday
1
2
8
9
15
16
21
22
23
28
29
30
Semester Break
3
4
Teacher
Professional
Learning
10
11
6
5
First Day of
Semester
Unit 4 – Rational and Radical Relationships
12
13
Unit 4 – Rational and Radical Relationships
17
24/31
18
MLK Birthday
25
19
7
14
Unit 4 Extend/Review/Assess/Reteach
20
Unit 5 – Exponential and Logarithms
26
Unit 5 – Exponential and Logarithms
27
Advanced Algebra
Pacing Calendar
Unit 5: Exponential and
Logarithms
Sunday
Monday
Tuesday
1
Students extend their work
with exponential functions to
include solving exponential
equations with logarithms.
They analyze the relationship
between these two functions.
Wednesday
2
February 2016
Thursday
Friday
Saturday
3
4
5
6
10
11
12
13
Unit 5 – Exponential and Logarithms
7
8
9
Unit 5 – Exponential and Logarithms
14
15
16
22
23
Unit 5 – Exponential and Logarithms
28
29
Unit 6
17
18
19
20
26
27
Unit 5 – Exponential and Logarithms
Winter Break
21
Winter Break
24
25
Unit 5 Extend/Review/Assess/Reteach
Advanced Algebra
Pacing Calendar
Unit 6: Mathematical
Modeling
In this unit students synthesize
and generalize what they have
learned about a variety of
function families. They explore
the effects of transformations on
graphs of diverse functions,
including functions arising in an
application, in order to abstract
the general principle that
transformations on a graph
always have the same effect
regardless of the type of the
underlying functions. They
identify appropriate types of
functions to model a situation,
they adjust parameters to
improve the model, and they
compare models by analyzing
appropriateness of fit and
making judgments about the
domain over which a model is a
good fit. They determine
whether it is best to model with
multiple functions creating a
piecewise function. Students will
also explore finite the sum of
finite geometric series.
Sunday
Monday
Tuesday
Wednesday
March 2016
Thursday
Friday
Saturday
1
2
3
4
5
8
9
10
11
12
15
16
17
18
19
Unit 6 – Mathematical Modeling
6
7
Unit 6 – Mathematical Modeling
13
14
Teacher
Professional
Learning
Unit 6 – Mathematical Modeling
20
21
22
23
24
30
31
Unit 6 – Mathematical Modeling
27
28
Unit 6 – Mathematical Modeling
29
25
26
Advanced Algebra
Pacing Calendar
Unit 6: Mathematical
Modeling
In this unit students synthesize
and generalize what they have
learned about a variety of
function families. They explore
the effects of transformations on
graphs of diverse functions,
including functions arising in an
application, in order to abstract
the general principle that
transformations on a graph
always have the same effect
regardless of the type of the
underlying functions. They
identify appropriate types of
functions to model a situation,
they adjust parameters to
improve the model, and they
compare models by analyzing
appropriateness of fit and
making judgments about the
domain over which a model is a
good fit. They determine
whether it is best to model with
multiple functions creating a
piecewise function. Students will
also explore finite the sum of
finite geometric series.
Assessments
Post Administration SLO
Window—April 27th-May
22nd
Sunday
Monday
Tuesday
Wednesday
April 2016
Thursday
Friday
Saturday
1
2
7
8
9
14
15
16
Unit 6
3
4
5
6
Spring Break (April 6-10)
10
11
12
13
Unit 6 – Mathematical Modeling
17
18
19
Unit 6 Extend/Review/Assess/Reteach
20
21
22
23
27
28
29
30
Unit 7 – Inferences and Conclusions from Data
24
25
26
Unit 7 – Inferences and Conclusions from Data
Advanced Algebra
Pacing Calendar
Unit 7: Inferences and
Conclusions from Data
Sunday
Monday
1
In this unit, students see how
the visual displays and
summary statistics they
learned in earlier grades
relate to different types of
data and to probability
distributions. They identify
different ways of collecting
data— including sample
surveys, experiments, and
simulations—and the role
that randomness and careful
design play in the conclusions
that can be drawn.
Tuesday
Wednesday
2
3
May 2016
Thursday
Friday
Saturday
4
5
6
7
11
12
13
14
18
19
20
21
27
28
Unit 7 – Inferences and Conclusions from Data
8
9
10
Unit 7 – Inferences and Conclusions from Data
15
16
17
Unit 7 – Inferences and Conclusions from Data
22
23
24
APS Maymester
Math Remediation for Re-Test or
Enrichment Curricula
Assessments
Spring Post SLO
April 11th – May 20th
29
30
31
Unit 7 Extend/Review/Assess/Reteach
25
Last Day of
School
26
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