Download Algebra 1B Map

Algebra 1B Curriculum Map
Algebra 1B
Solving Systems of Linear Equations and Inequalities
(3 weeks)
Objective
Activities
Suggested HW
Review
Rules
for
Graphing
Glencoe p.372; 15 – 22
7-1 Graphing Systems
Guided
Practice;
p.371
Resource Master; Study
of Equations
Guide & Intervention
(2 days)
Worksheet, Skills
Practice Worksheets
Program of Studies
relate a solution of a system of
two linear equations in two
variables and the graphs of the
corresponding lines
Guided Practice; p.379
Glencoe p.381; Practice Quiz
Quiz: Graphing Systems of
Equations and Substitution
Resource Master; Study
Guide & Intervention
Worksheet, Skills
Practice Worksheet
solve an equation involving several
variables for one variable in terms of
the others
7-3 Elimination Using
Addition and
Subtraction
(2 days)
Guided Practice; p.384
Quiz: Elimination Using
Addition and Subtraction
Resource Master; Study
Guide & Intervention
Worksheet, Skills
Practice Worksheet
solve systems of two linear
equations in two variables
7-4 Elimination Using
Multiplication
(3 days)
Guided Practice; p.390
Glencoe p.392; Practice Quiz
Quiz: Elimination Using
Multiplication
Resource Master; Study
Guide & Intervention
Worksheet, Skills
Practice Worksheet
7-5 Graphing Systems of
Inequalities
(3 days)
Review Rules for Graphing
Guided Practice; p.396
Quiz: Graphing Systems of
Inequalities
Resource Master; Study
Guide & Intervention,
Skills Practice Worksheet
Chapter Review
Open Response Question
Study Guide
Standard Assessment
7-2 Substitution
(2 days)
Unit Test
3rd Friday
solve systems of two linear
equations in two variables
graph the solution set of a
linear inequality and
identify whether the
solution set is an open or
closed half-plane
CC 4.1 Standards
MA-HS-5.3.4
Students will model, solve and
graph systems of two linear
equations in real-world and
mathematical problems.
DOK 3
MA-HS-5.3.2
Students will solve for a
specified variable in a
multivariable equation.
MA-HS-5.3.3
Students will model, solve and
graph first degree, two-variable
equations and inequalities in
real-world and mathematical
problems.
DOK 2
MA-HS-5.3.3
Students will model, solve and
graph first degree, two-variable
equations and inequalities in
real-world and mathematical
problems.
MA-HS-5.3.1
Students will model, solve and
graph first degree, single
variable equations and
inequalities, including absolute
value, based in real-world and
mathematical problems and
graph the solutions on a
number line.
DOK 2
Algebra 1B
Polynomials
(3 weeks)
Key Questions:
1. Students simplify monomial expressions using the properties of exponents.
2. Students convert expressions from scientific to standard notation, and vice versa.
3. Students find the degree, and arrange the terms of a polynomial.
4. Students add, subtract, and multiply polynomials (including special products).
Objective
Activities
Suggested HW
Program of Studies
8-1 Multiplying
Work Together Activity (from Glencoe p.413 #15-20, Students will understand the
properties of integer exponents
Monomials
Prentice Hall, p.391)
22-38 even, 44-46
and roots and apply these
properties to simplify algebraic
Work Together Activity (from
expressions.
Prentice Hall, p.396)
8-2 Dividing
Monomials
(2 days)
8-3 Scientific Notation
(8-1) Enrichment “Binary
Numbers”
Work Together Activity (from Glencoe p.421 #15-37
Prentice Hall, p.379)
odd, 38,39
COMPASS Activity AL046
– “Exponents”
COMPASS Activity AL047
– “Negative Exponents”
School-to-Career Activity,
p.15 – “Contraction &
Expansion” (Metallurgist)
COMPASS Activity AL048
– “Exponents & Scientific
Notation”
COMPASS Activity AL049
– “Computing in Scientific
Notation”
Round Table Activity
“Operations on Monomials”
Glencoe p.428 #18-46
even, 50, 55, 57
Students will understand the
properties of integer exponents
and roots and apply these
properties to simplify algebraic
expressions.
CC 4.1 Standards
MA-HS-5.2.1
Students will apply order of
operations, real number
properties (identity, inverse,
commutative, associative,
distributive, closure) and rules
of exponents (integer) to
simplify algebraic expressions.
DOK 1
MA-HS-5.2.1
Students will apply order of
operations, real number
properties (identity, inverse,
commutative, associative,
distributive, closure) and rules
of exponents (integer) to
simplify algebraic expressions.
DOK 1
8-4 Polynomials
8-5 Adding &
Subtracting Polynomials
8-6 Multiplying a
Polynomial by a
Monomial
Quiz: Properties of
Exponents
Graphing Calculator
Glencoe p.434 #15Investigation, p.37 – “Second 20,21-51odd
Degree Polynomial
Functions”
COMPASS Activity AL050
– “Defining & Naming
Poynomials”
COMPASS Activity AL051
– “Adding & Subtracting
Polynomials”
School-to-Career Activity,
p.16 – “Buying in Bulk”
(Buyer)
Glencoe p.441 #13-31
odd, 36-40
Students will add, subtract and
multiply polynomials
MA-HS-5.2.3
Students will:
 add, subtract and multiply
polynomial expressions;
 factor polynomial
expressions using the
greatest common
monomial factor and
 factor quadratic
polynomials of the form ax2
+ bx + c, when a = 1 and b
and c are integers.
Glencoe p.446 #15-45
odd
Students will add, subtract and
multiply polynomials
MA-HS-5.2.3
Students will:
 add, subtract and multiply
polynomial expressions;
 factor polynomial
expressions using the
greatest common
monomial factor and
 factor quadratic
polynomials of the form ax2
+ bx + c, when a = 1 and b
and c are integers.
Glencoe p.455 #13-39
odd, 40, 48-51
Students will add, subtract and
multiply polynomials
MA-HS-5.2.3
Students will:
 add, subtract and multiply
polynomial expressions;
 factor polynomial
expressions using the
greatest common
COMPASS Activity AL052
– “Multiplying Polynomials”
8-7 Multiplying
Polynomials
Spreadsheet Investigation,
p.38 – “Multiplying
Polynomials”
monomial factor and
 factor quadratic
polynomials of the form ax2
+ bx + c, when a = 1 and b
and c are integers.
8-8 Special Products
COMPASS Activity AL053
– “Special Polynomial
Products”
Glencoe p.462 #13-37
odd
Students will add, subtract and
multiply polynomials
MA-HS-5.2.3
Students will:
 add, subtract and multiply
polynomial expressions;
 factor polynomial
expressions using the
greatest common
monomial factor and
 factor quadratic
polynomials of the form ax2
+ bx + c, when a = 1 and b
and c are integers.
Round Table Activity
“Operations on Polynomials”
Unit Test
Algebra 1B
Factoring
( 2.5 weeks)
Key Questions:
1. Students will factor:
a. Using Greatest Common Factor (GCF)
b. Using Distributive Property
c. Factor By Grouping
d. Trinomials (mn chart, difference of squares, and perfect squares)
Objective
Activities
Suggested HW
skills worksheet
Review
Prime
and
9-1 Factors and Greatest
Composite
numbers
Common Factors (1
day)
9-2 Factoring using
the Distributive
Property (2 days)
Program of Studies
CC 4.1 Standards
Greatest Common Factor
Sieve of Eratosthenes handout
Lecture-discuss grouping
P484 #16-38 even 46, 47
Skills worksheet even

identify and apply real
number properties
MA-HS-1.5.1
Students will identify real number
properties (commutative
properties of addition and
multiplication, associative
properties of addition and
multiplication, distributive property
of multiplication over addition and
subtraction, identity properties of
addition and multiplication and
inverse properties of addition and
multiplication) when used to justify
a given step in simplifying an
expression or solving an equation.
9-3 Factoring
M+n =b
Trinomials x^2 + bx + c Mn=c
(2 days)
P493 #18-32 even, 35,
36

factor polynomials by
removing the greatest
common factor
MA-HS-5.2.3
Students will:
 add, subtract and multiply
polynomial expressions;
 factor polynomial
expressions using the
greatest common
monomial factor and
 factor quadratic
polynomials of the form ax2
+ bx + c, when a = 1 and b
and c are integers.

factor quadratic
polynomials

factor quadratic
polynomials

factor quadratic
polynomials
MA-HS-5.2.4
Students will factor quadratic
polynomials, such as perfect
square trinomials and quadratic
polynomials of the form
2
ax  bx  c when a ≠ 1 and b
and c are integers
MA-HS-5.2.4
Students will factor quadratic
polynomials, such as perfect
square trinomials and quadratic
polynomials of the form
2
ax  bx  c when a ≠ 1 and b
and c are integers
MA-HS-5.2.4
Students will factor quadratic
polynomials, such as perfect
square trinomials and quadratic
polynomials of the form
2
ax  bx  c when a ≠ 1 and b
and c are integers
Skills worksheet
Quiz 9-1 & 9-2
9-4 Factoring
Trinomials ax^2 + bx +
c
(2 days)
M+n =b
Mn=ac
Solve by grouping
P499 #14-28
9-5 Factoring
Differences of Squares
(2 days)
Lecture-discuss rules for
factoring difference of squares
skills practice
9-6 Perfect Squares and
Factoring (2 days)
Lecture-discuss rules for
factoring perfect squares
Skills worksheet
p550 1-24 all
Guided example teacher led
p556 #1-27even
skills worksheet
Guided example students led
Chapter 9 test
(2.5 weeks)
Unit test
Algebra 1B
Chapter 10: Quadratic Functions (3 weeks)
Key Questions:
1. Graph quadratic functions
a. Use table of points
b. Axis of symmetry and vertex of parabola
2. Solve quadratic equations
a. Graphing
b. Finding the square root
c. Completing the square
d. Using the quadratic formula
Objective
Activities
Suggested HW
Program of Studies
10-1 Graphing Quadratic
Algebra Activity: Symmetry of
Graph a quadratic function and
Functions p524
Parabolas p525
Workbook 10-1
understand the relationship between
its real zeros and the x-intercepts of
(2 days)
Check Understanding p528
the graph
Practice and Application
p528 (10-35)
Real World Application
p529 (38-49)
10-2 Solving Quadratic
Graphing Calculator
Workbook 10-2
Use graphing technology to explore
Equations by Graphing
Investigation p531-532
the meaning of quadratic equations
p533
with complex solutions
Check Understanding p535-537
(2days)
Practice p536 (11-34)
Real World Application p537
(35-48)
10-3 Solving Quadratic
Workbook 10-3
Activity: Completing the
Equations by Completing
square using Algebra tiles
the Square p539
p540
(4 days)
Check Understanding p542
Practice p 542 (15-48)
Application p543 49-52
CC 4.1 Standards
MA-HS-5.3.6
Students will model, solve and
graph quadratic equations in
real-world and mathematical
problems.
MA-HS-5.3.6
Students will model, solve and
graph quadratic equations in
real-world and mathematical
problems.
MA-HS-5.3.6
Students will model, solve and
graph quadratic equations in
real-world and mathematical
problems.
Quiz 10.1 and 10.2
10-4 Solving Quadratic
Equations by Using the
Quadratic Formula p546
(4 days)
Graphing Calculator
Investigation p545
Check Understanding p550
Practice p550 (14-32)
Workbook 10-4
Recognize and solve problems that
can be modeled using a linear
equation in one variable, a quadratic
equation or a system of linear
equations
MA-HS-5.3.6
Students will model, solve and
graph quadratic equations in
real-world and mathematical
problems.
Application p551 (46-54)
Use graphing technology to explore
the meaning of quadratic equations
with complex solutions
Chapter Review
(2 days)
Quiz 10.3-10.4
Chapter Review p574-577
Practice Test p579 (1-20)
Open Response
Unfinished classwork
Chapter 10 test
(1 day)
Chapter 11: Radicals (2 weeks)
Objective
Activities
Suggested HW
Program of Studies
CC 4.1 Standards
11-1 Simplify Radical
Expressions
In-Class Examples pg 587-589
Interactive Chalkboard
Study Guide and Intervention
pg 643-644
Glencoe p.589 #15-25,
27-37, 45-47 ODD
Advanced
16-26 ,28-40 evens
School to Career Masters
pg 21
Students will understand the
properties of integer exponents
and roots and apply these
properties to simplify algebraic
expressions.
MA-HS-5.2.1
Students will apply order of
operations, real number
properties (identity, inverse,
commutative, associative,
distributive, closure) and rules
of exponents (integer) to
simplify algebraic expressions.
DOK 1
MA-HS-1.3.1
Students will solve real-world and
mathematical problems to specified
accuracy levels by simplifying
expressions with real numbers
involving addition, subtraction,
multiplication, division, absolute
value, integer exponents, roots
(square, cube) and factorials.
5 Minute Check over 11-1
In-Class Examples pg 594
Teaching Algebra with
Manipulatives pg 185
WebQuest pg 61
Glencoe 15-25 odd 31,33
Advanced
14-28 Even 38,40,45-70
Practice WKST pg 652
Students will understand the
properties of integer exponents
and roots and apply these
properties to simplify algebraic
expressions.
MA-HS-5.2.1
Students will apply order of
operations, real number
properties (identity, inverse,
commutative, associative,
distributive, closure) and rules
of exponents (integer) to
simplify algebraic expressions.
MA-HS-1.3.1
2 Days
11-2 Operations with
Radical Expressions
2 Days
Students will solve real-world and
mathematical problems to specified
accuracy levels by simplifying
expressions with real numbers
involving addition, subtraction,
multiplication, division, absolute
value, integer exponents, roots
(square, cube) and factorials.
DOK 1
11-3 Radical Equations
1 Day
11-4 The Pythagorean
Theorem
Building on Prior Knowledge
WKST pg599
In-Class Examples pg 599
Daily Intervention pg 600
Glencoe pg 601-603 1133 odd,35-47 odd
Advanced
18-46 even
Extra Practice pg. 844
In-Class Examples pg 606-607
5 Minute Check
History of Pythagoras
Skills Practice pg 633
Glencoe 13-29 odd
Advanced 14-36 even
Quiz over first four lessons
5 Minute Check
Glencoe pg 613-615 1325, 37-39 odd
Advanced 14-32 even
Enrichment pg62
In Class Examples pg 617-618
Interactive Chalkboard lesson
Reading To Learn Mathematics
pg 677
Glencoe pg 618-621 1127 odd
Advanced 12-32 even
Practice WKST pg 676
MA-HS-2.1.4
Students will apply special right
triangles and the converse of the
Pythagorean theorem to solve
real-world problems.
1 Day
11-5 The Distance
Formula
1 Day
11-6 Similar Triangles
1 Day
Students will understand that
numerical values associated with
measurements of physical
quantities must be assigned units
of measurement or dimensions.
Students will explore the relationships
between the right triangle
trigonometric functions, using
technology (e.g., graphing calculator)
as appropriate.
MA-HS-2.1.3
Students will apply definitions and
properties of right triangle
relationships (right triangle
trigonometry and the
Pythagorean theorem) to
determine length and angle
measures to solve real-world and
mathematical problems.
DOK 3
MA-HS-2.1.4
Students will apply special right
triangles and the converse of the
Pythagorean theorem to solve
real-world problems.
11-7 Trigonometric
Ratios
5 Minute Check
In-Class Examples pg 624-626
Glencoe pg 627-630 1949 odd
Students will explore the relationships
between the right triangle
1 Day
Review
1 Day
Reading Mathematics pg 631
Teaching Algebra with
Manipulatives pg 192
Advanced 20-50 even
Differentiated Instruction
pg 624 TWE
trigonometric functions, using
technology (e.g., graphing calculator)
as appropriate.
Lesson by Lesson Review pg
632-636
Practice Test 637
Unit Test
1 Day
Chapter 11 Test
Total 9 Days
Probability and Statistics: ( 1 week)
Key Questions:
1. Students will identify various sampling techniques.
2. Students will interpret data displayed in histograms.
3. Students will use the Fundamental Counting Principle to count outcomes.
4. Students will use permutations and combinations to determine probabilities.
Objective
Activities
Suggested HW
Skills worksheet
13-1 Sampling and Bias Lecture- sampling types
(1day)
Guided example teacher led
13-3 Histograms (1day)
Review Histograms
Skills worksheet
14-1 Counting
Outcomes
(1day)
14-2 Permutations and
Combinations
(2 days)
Lecture- factorials and
teacher led examples
P757 # 9-22 all
Permutation order matters
Combinations order does not
matter
P765 # 14-36 even
Teacher made
worksheet word
problems
Program of Studies
 explain the impact of
sampling methods,
bias and the phrasing
of questions asked
during data collection
and the conclusions
that can be justified

recognize and identify
the differences
between combinations
and permutations and
use them to count
discrete quantities
CC 4.1 Standards
MA-HS-4.3.1
Students will recognize
potential for bias resulting from
the misuse of sampling
methods (e.g., non-random
sampling, polling only a specific
group of people, using limited
or extremely small sample
sizes) and explain why these
samples can lead to inaccurate
inferences.
MA-HS-4.4.2
Students will recognize and
identify the differences between
combinations and permutations
and use them to count discrete
quantities.