Download Introduction to Integrated Algebra 2010

Introduction to Integrated Algebra 2010-2011 (REVISED 10.14.09)
Intro to Integrated Algebra Pacing Guide 2010 – 2011
Preparation course for Integrated Algebra*
*Note: This course is no longer part 1 of 2. This is a foundation course for building
stronger algebra skills.
The Goals of this course are:

To focus on the topics that students struggle with the most in prior years

To spend more time on these topics by starting from the basics to help build skills

To prepare students so they gain a better understanding in the foundations of Algebra.

To reinforce and re-teach topics/ concepts in previous grades that are also covered in Integrated Algebra
Text: Holt Algebra 1
Guided Resources: Rochester Curriculum Developer (May use Lessons from Integrated Algebra curriculum)
Other Resources: http://my.hrw.com (Holt Online Learning)
www.jmap.org
www.regentsprep.org
Key ideas to keep in mind while teaching this course:
 All review and assessments should be cumulative and follow the Integrated Algebra Regents Exam format
 Graphing calculators must be provided for use on the Regents test, therefore should be used throughout
the year
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Introduction to Integrated Algebra 2010-2011 (REVISED 10.14.09)
Dates
2 Days
Sept 2
To
Sept 3
Topic
Teacher
Preparation/
Introduction
& Review
14 Days
Unit 1
Sept 7
to
Sept 24
Reviewing
Pre-Algebra
Concepts
33 Days
Unit 2
Sept 27
to
Nov 12
Equations,
Percents,
Proportions
17 Days
Unit 3
Nov 15
to
Dec 10
Inequalities
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Textbook Section
Content PI covered in this
section
Helpful Notes
1-1 variables and expressions
1-2 adding and subtracting real numbers
1-3 multiplying and dividing real numbers
1-4 powers and exponents
1-5 square roots and real numbers
1-6 order of operations
1-7 simplifying expressions
A.A.1 Translate a quantitative verbal phrase
into an algebraic expression
A.N.1 Identify and apply the properties of real
numbers (closure, commutative, associative,
distributive, identity, inverse) Note: Students do
not need to identify groups and fields, but
students should be engaged in the ideas.
A.N.6 Evaluate expressions involving
factorial(s), absolute value(s), and exponential
expression(s)
Stress difference between
-3² and (-3)²
Use different approaches to
integer operations such as chip
boards
2-1 solving equations by adding or subtracting
2-2 solving equations by multiplying or dividing
2-3 solving two step and multi step equations
2-4 solving equations with variables on both sides
2-5 solving for a variable
2-6 rates, ratios, and proportions
2-10 percent increase and decrease
A.A.5 Write algebraic equations or inequalities
that represent a situation
A.A.6 Analyze and solve verbal problems whose
solution requires solving a linear equation in one
variable or linear inequality in one variable
A.A.21 Determine whether a given value is a
solution to a given linear equation in one variable
or linear inequality in one variable
A.A.22 Solve all types of linear equations in
one variable
A.A.23 Solve literal equations for a given
variable
A.N.5 Solve algebraic problems arising from
situations that involve fractions, decimals,
percents (decrease/increase and discount), and
proportionality/direct variation
Stress equations with fractions
and word problems
Use different approaches to
solving equations such as
algebra tiles (see algebra labs in
chapter 2)
3-1 graphing and writing inequalities
3-2 solving inequalities by adding or subtracting
3-3 solving inequalities by multiplying or dividing
3-4 solving two step and multi step inequalities
3-5 solving inequalities with variables on both
side
A.A.4 Translate verbal sentences into
mathematical equations or inequalities
A.A.5 Write algebraic equations or inequalities
that represent a situation
A.A.6 Analyze and solve verbal problems whose
solution requires solving a linear equation in one
variable or linear inequality in one variable
A.A.24 Solve linear inequalities in one variable
Stress word problems
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Introduction to Integrated Algebra 2010-2011 (REVISED 10.14.09)
5 Days
Unit 4
Dec 13
to
Dec 17
10 Days
Jan 3
to
Jan 14
5 Days
Jan 18
to
Jan 24
4 Days
Jan 25
to
Jan 28
1-8 introduction to functions
4-3 writing functions
4-4 graphing functions
Basic
Graphing
Unit 5
Graphing
with Linear
Functions
Midterm
Review
5-3 rate of change
5-4 slope formula
5-6 slope intercept form
5-7 point slope form
5-8 slope of parallel and perpendicular lines (only
parallel lines)
A.A.4 Translate verbal sentences into
mathematical equations or inequalities
A.A.5 Write algebraic equations or inequalities
that represent a situation
A.G.4 Identify and graph linear, quadratic,
absolute value, and exponential functions.
Stress the connection between
equations, tables and graphs
A.A.32 Explain slope as a rate of change
between dependent and independent variables
A.A.33 Determine the slope of a line, given the
coordinates of two points on the line
A.A.34 Write the equation of a line, given its
slope and the coordinates of a point on the line
A.A.35 Write the equation of a line, given the
coordinates of two points on the line
A.A.36 Write the equation of a line parallel to
the x- or y-axis
A.A.37 Determine the slope of a line, given its
equation in any form
A.A.38 Determine if 2 lines are parallel given
equations in any form
A.A.39 Determine whether a given point is on a
line, given the equation of the line
Stress the connection between
equations, tables and graphs.
Could include extra projects
with students to reinforce their
graphing abilities.
Days also included for catching
up.
Midterm
Exam Week
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Introduction to Integrated Algebra 2010-2011 (REVISED 10.14.09)
25
Days
Jan 31
to
March
11
24
Days
Unit 6
Exponents &
Polynomials
Unit 7
Factoring
7-1 Integer Exponents
7-2 Scientific Notation
7-3 Multiplication Properties of Exponents
7-4 Division Properties of Exponents
7-5 Polynomials
7-6 Adding and Subtracting Polynomials
7-7 Multiplying Polynomials
7-8 Special Products
A.N.4 Understand and use scientific notation to
compute products and quotients of numbers
A.A.12 Multiply and divide monomial
expressions with a common base, using the
properties of exponents Note: Use integral
exponents only.
A.A.13 Add, subtract, and multiply monomials
and polynomials
A.A.14 Divide a polynomial by a monomial or
binomial, where the quotient has no remainder
Do LOTS of drill and practice to
reinforce these skills
8-1 Factors/ Greatest Common Factors
8-2 Factoring using GCF
8-3 Factoring
8-5 Factoring Special Products
8-6 Choosing a Factoring Method
A.A.19 Identify and factor the difference of two
perfect squares
A.A.20 Factor algebraic expressions
completely, including trinomials with a lead
coefficient of one (after factoring a GCF)
No values of a > 1
12-3 Simplifying Rational Expressions
12-4 Multiplying and Dividing Rational
Expressions
12-5 Adding and Subtracting Rational
Expressions
A.A.15 Find values of a variable for which an
algebraic fraction is undefined
A.A.16 Simplify fractions with polynomials in the
numerator and denominator by factoring both and
renaming them to lowest terms
A.A.17 Add or subtract fractional expressions
with monomial or like binomial denominators
A.A.18 Multiply and divide algebraic fractions
and express the product or quotient in simplest
form
Review LCD
No Equations
March
14
to
April
15
25
Days
April
25
to
May 27
11
Days
Unit 8
Rational
Expressions
Final Exam
Review
May 31
to
June
14
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Introduction to Integrated Algebra 2010-2011 (REVISED 10.14.09)
7 Days
Final Exams
June
15
to
June
24
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This course will conclude with a
LOCAL exam.
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