
Cobb County School District 
Mathematics (Updated July 2004) 
Mathematics  Integrated Math II 
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Goals and Descriptions 

PS1: NUMBER SENSE
The learner will be able to
represent, interpret, and compare real numbers.


M.INTII.1.1 Real Numbers: Recognize/Subsets
The learner will be able to
identify and apply subsets of the real number system.
Bloom's 
Scope 
Hours 
Source 
Knowledge 
Master 
1.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #5; GA: EndofCourse tests, 2002, Algebra 1, Algebraic Fundamentals . 


M.INTII.1.2 Rational Numbers: Represent
The learner will be able to
represent rational numbers in equivalent forms.
Bloom's 
Scope 
Hours 
Source 
Application 
Reinforce 
0.5 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #5 


M.INTII.1.3 Number Lines: Real Numbers
The learner will be able to
use a real number line to graph a real number.
Bloom's 
Scope 
Hours 
Source 
Comprehension 
Master 
1.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #5; GA: EndofCourse tests, 2002, Algebra 1, Algebraic Fundamentals . 


M.INTII.1.4 Rational Numbers: Determine
The learner will be able to
determine the square root of rational numbers.
Bloom's 
Scope 
Hours 
Source 
Application 
Reinforce 
1.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #23 


M.INTII.1.5 Square Root: Rationals/Irrationals
The learner will be able to
use decimals to approximate the value of irrational numbers.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
1.0 
Cobb County Schools 


M.INTII.1.6 Argument: Validity
The learner will be able to
follow a logical argument.
Bloom's 
Scope 
Hours 
Source 
Analysis 
Master 

GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #3 


M.INTII.1.7 Arguments: Create/Elementary
The learner will be able to
construct simple arguments.
Bloom's 
Scope 
Hours 
Source 
Synthesis 
Master 

GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #3 


M.INTII.1.8 Mathematical Concepts: Relationships
The learner will be able to
reflect upon and clarify mathematical ideas and relationships.
Bloom's 
Scope 
Hours 
Source 
Analysis 
Master 

GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #2 


M.INTII.1.9 Communication: Ideas
The learner will be able to
express mathematical ideas both orally and in writing.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 

GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #2 


M.INTII.1.10 Mathematical Connections
The learner will be able to
acknowledge the relevance and usefulness of mathematics both in and out of school.
Bloom's 
Scope 
Hours 
Source 
Analysis 
Master 

GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #4 


M.INTII.1.11 Mathematical Connections:
The learner will be able to
view mathematics as an integrated whole rather than as an isolated set of topics.
Bloom's 
Scope 
Hours 
Source 
Comprehension 
Master 

GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #4 


M.INTII.1.12 Learning: Interpret/Written
The learner will be able to
interpret a written presentation of mathematics.
Bloom's 
Scope 
Hours 
Source 
Analysis 
Master 

GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #2 

PS2: OPERATIONS AND THEIR RELATIONSHIPS
The learner will be able to
apply the operations and properties of real numbers to solve problems.


M.INTII.2.1 Properties: Real Numbers
The learner will be able to
identify and use properties (commutative, associative, distributive, identity, inverse) of real numbers.
Bloom's 
Scope 
Hours 
Source 
Knowledge 
Master 
2.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #5; GA: EndofCourse tests, 2002, Algebra 1, Operations on Real Numbers . 


M.INTII.2.2 Simplify Expressions/Order of Operations
The learner will be able to
apply laws of exponents and simplify numeric and algebraic expressions using order of operations, Evaluates algebraic expressions.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
1.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #5 and #28; GA: EndofCourse tests, 2002, Algebra 1, Algebraic Fundamentals . 

PS3: COMPUTATION AND ESTIMATION
The learner will be able to
develop fluency in all operations with real numbers in real world problem solving situations.


M.INTII.3.1 Operations: Rational Number
The learner will be able to
adds, subtracts, multiplies, and divides integers and other rational numbers, and finds their absolute values.
Bloom's 
Scope 
Hours 
Source 
Comprehension 
Master 
5.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #5; GA: EndofCourse tests, 2002, Algebra 1, Algebraic Fundamentals . 


M.INTII.3.2 Square Roots: Operations
The learner will be able to
add, subtract, multiply, and divide with square roots.
Bloom's 
Scope 
Hours 
Source 
Application 
Reinforce 
3.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #24 

PS4: PATTERNS, RELATIONS, AND FUNCTIONS
The learner will be able to
use functions to represent and analyze patterns and quantitative relationships.


M.INTII.4.1 Solving Equations and Inequalities
The learner will be able to
solve equations and inequalities of one variable and graph their solutions on a number line.
Bloom's 
Scope 
Hours 
Source 
Comprehension 
Master 
5.0 
GA: EndofCourse tests, 2002, Algebra 1, Solving Equations & Inequalities . 


M.INTII.4.2 Solving Equations / Problem
The learner will be able to
solve equations and inequalities of one variable using a variety of methods. Solve problems involving equations and inequalities of one variable.
Bloom's 
Scope 
Hours 
Source 
Comprehension 
Master 
3.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #18 and #19; GA: EndofCourse tests, 2002, Algebra 1, Solving Equations & Inequalities . 


M.INTII.4.3 Linear Equations: Write
The learner will be able to
write a linear equation when presented with information.
Bloom's 
Scope 
Hours 
Source 
Application 
Introduce 
1.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #15 


M.INTII.4.4 Graphing Linear Inequalities
The learner will be able to
graph linear equations and inequalities in two variables.
Bloom's 
Scope 
Hours 
Source 
Analysis 
Master 
2.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #14 and #18; GA: EndofCourse tests, 2002, Algebra 1, Solving Equations & Inequalities . 


M.INTII.4.5 Slope: Compute
The learner will be able to
given a linear equation, determine the slope and intercepts of the graph.
Bloom's 
Scope 
Hours 
Source 
Analysis 
Master 
1.0 
Cobb County Schools 


M.INTII.4.6 Graphing Linear Equations
The learner will be able to
sketch the graph of a linear equation in two variables given two points or one point and the slope.
Bloom's 
Scope 
Hours 
Source 
Analysis 
Master 
2.0 
Cobb County Schools 


M.INTII.4.7 Linear Equations: Problem
The learner will be able to
solve problems using linear equations.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
1.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #13 


M.INTII.4.8 Cartesian Plane: Graphing
The learner will be able to
graph linear equations in two variables by generating ordered pairs; identify graphs of special equations that generate vertical, horizontal, parallel and perpendicular lines.
Bloom's 
Scope 
Hours 
Source 
Analysis 
Master 
2.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #12 and #14 


M.INTII.4.9 Linear System of Equations
The learner will be able to
solve a system of two linear equations in two variables by substitution and graphing.
Bloom's 
Scope 
Hours 
Source 
Comprehension 
Master 
3.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #16; GA: EndofCourse tests, 2002, Algebra 1, Solving Equations & Inequalities . 


M.INTII.4.10 Linear System of Equations
The learner will be able to
investigate applied problems that involve linear systems of equations through the analysis of graphical displays, using matrices or spreadsheets, and instruments.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
2.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #17 


M.INTII.4.11 Factoring: Simple Quadratic
The learner will be able to
factor simple quadratic expressions such as trinomials, difference of two squares, and polynomials with common factors.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
3.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #32 and #33; GA: EndofCourse tests, 2002, Algebra 1, Operations on Real Numbers . 


M.INTII.4.12 Algebraic Concepts: Simplify
The learner will be able to
recognize and simplify basic algebraic fractions.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
1.0 
Cobb County Schools 


M.INTII.4.13 Algebraic Fractions: Basic
The learner will be able to
multiply, divide, add, and subtract simple algebraic fractions.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
2.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #20 


M.INTII.4.14 Nonlinear Equations: Solve
The learner will be able to
solve simple rational equations, including fractional equations and equations with fractional coefficients.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
2.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #21 


M.INTII.4.15 Quadratic Equation: Solve
The learner will be able to
solve quadratic equations using the quadratic formula, graphing calculator, or computer.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
2.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #27; GA: EndofCourse tests, 2002, Algebra 1, Solving Equations & Inequalities . 


M.INTII.4.16 Radicals: Equations/Basic
The learner will be able to
solve basic radical equations.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
1.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #25 


M.INTII.4.17 Functions/Relations: Differentiate
The learner will be able to
differentiate between functions and relations.
Bloom's 
Scope 
Hours 
Source 
Analysis 
Introduce 
0.5 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #11 


M.INTII.4.18 Nonlinear Equations: Investigate
The learner will be able to
investigate quadratic, exponential, and rational equations by studying graphical illustrations and graphing using appropriate tools.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
1.5 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #34 


M.INTII.4.19 Polynomials: Exponents
The learner will be able to
use laws of exponents necessary to perform polynomial operations including scientific notation.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
1.0 
GA: EndofCourse tests, 2002, Algebra 1, Operations on Real Numbers . 


M.INTII.4.20 Polynomials: Add/Subtract
The learner will be able to
add and subtract polynomials.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
1.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #30; GA: EndofCourse tests, 2002, Algebra 1, Operations on Real Numbers . 


M.INTII.4.21 Polynomials: Multiply
The learner will be able to
multiply polynomials (two monomials, a monomial and a polynomial, two binomials, two polynomials.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
2.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #31 


M.INTII.4.22 Monomials: Powers/Quotient
The learner will be able to
find products and quotients of monomials.
Bloom's 
Scope 
Hours 
Source 
Comprehension 
Master 
2.0 
Cobb County Schools 


M.INTII.4.23 Polynomials: Divide by Monomial
The learner will be able to
divide a polynomial by a monomial.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
0.5 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #32 


M.INTII.4.24 Expressions: Translate
The learner will be able to
translate word expressions into algebraic expressions.
Bloom's 
Scope 
Hours 
Source 
Synthesis 
Reinforce 
1.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #5 


M.INTII.4.25 Equations: Translate/Words
The learner will be able to
translate word expressions into algebraic equations.
Bloom's 
Scope 
Hours 
Source 
Synthesis 
Reinforce 
1.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #5 


M.INTII.4.26 Graphing: Domain/Range
The learner will be able to
identify the domain and range of a given function or relation.
Bloom's 
Scope 
Hours 
Source 
Knowledge 
Introduce 
1.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #11 


M.INTII.4.27 Formulas: Evaluate/Basic
The learner will be able to
evaluate basic formulas.
Bloom's 
Scope 
Hours 
Source 
Application 
Reinforce 
1.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #5 


M.INTII.4.28 Polynomials: Recognizing Expressions
The learner will be able to
identify polynomial expressions (expressions, binomial, trinomial, degree).
Bloom's 
Scope 
Hours 
Source 
Knowledge 
Master 
1.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #29; GA: EndofCourse tests, 2002, Algebra 1, Operations on Real Numbers . 


M.INTII.4.29 Polynomials: Determine/Coefficient
The learner will be able to
determine the leading coefficient, constant term, and total number of terms in a polynomial.
Bloom's 
Scope 
Hours 
Source 
Analysis 
Master 
1.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #29; GA: EndofCourse tests, 2002, Algebra 1, Operations on Real Numbers . 

PS5: ALGEBRAIC PROBLEM SOLVING
The learner will be able to
use a variety of functions to model and solve problems.


M.INTII.5.1 Represent Problems: Algebra
The learner will be able to
represent problem situations by algebraic expression and equations.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
2.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #5 


M.INTII.5.2 Proportions: Problem Solve
The learner will be able to
solve proportion problems.
Bloom's 
Scope 
Hours 
Source 
Application 
Reinforce 
0.5 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #22 


M.INTII.5.3 Ratio: Solve Problems
The learner will be able to
obtain solutions to problems that involve ratios.
Bloom's 
Scope 
Hours 
Source 
Application 
Reinforce 
1.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #22 


M.INTII.5.4 Problem Solving: Percents
The learner will be able to
obtain solutions to problems involving percents.
Bloom's 
Scope 
Hours 
Source 
Application 
Reinforce 
1.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #22 


M.INTII.5.5 Analyzing Problems: Conjectures
The learner will be able to
make and test conjectures.
Bloom's 
Scope 
Hours 
Source 
Analysis 
Master 

GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #3 


M.INTII.5.6 Solution: Reasonableness
The learner will be able to
judge the reasonableness of a proposed solution.
Bloom's 
Scope 
Hours 
Source 
Evaluation 
Master 
1.5 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #1 


M.INTII.5.7 Solving Problems
The learner will be able to
propose and evaluate information needed to solve problems based on applied situations.
Bloom's 
Scope 
Hours 
Source 
Evaluation 
Master 

Cobb County Schools 

Data Analysis and Probability

PS6: DATA ORGANIZATION
The learner will be able to
conduct investigations using statistical tools and display resulting data.


M.INTII.6.1 Mean/Median/Mode/Range: Summarize
The learner will be able to
summarize data in various ways including mean, mode, median, and range using charts and graphs.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
1.0 
Cobb County Schools 


M.INTII.6.2 Data Collection: Organize/Record
The learner will be able to
collect, organize, and record data collected through and experimentation.
Bloom's 
Scope 
Hours 
Source 
Analysis 
Master 
2.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #6 

PS7: DATA ANALYSIS
The learner will be able to
evaluate statistical studies and determine inferences that can be justified.


M.INTII.7.1 Data Analysis: Interpret/Predict
The learner will be able to
interpret and make predictions from data displayed in line graphs or scatter plots through the examining patterns and recognizing of algebraic concepts such as slope, (i.e., rate of change), intercepts, range, and domain.
Bloom's 
Scope 
Hours 
Source 
Synthesis 
Master 
2.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #9 and #10 


M.INTII.7.2 Outcomes: Identify
The learner will be able to
recognize potential outcomes for an elementary experiment.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
1.0 
GA: EndofCourse tests, 2002, Algebra 1, Connections & Applications . 


M.INTII.7.3 Data: Analyze/Illustrate/Bivariate
The learner will be able to
analyze and illustrate data (including bivariate data) through the use of tables, charts, and a variety of graphs (i.e., line graphs, scatter plots, bar graphs, picture graphs, and box plots).
Bloom's 
Scope 
Hours 
Source 
Synthesis 
Master 
4.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #7 

PS8: PROBABILITY
The learner will be able to
apply the laws of probability and counting principles in real world contexts.


M.INTII.8.1 Predictions: Probability/Explain
The learner will be able to
make predictions of or explain the probability of a particular event expressed as a rational number from zero to one.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
1.0 
GA: EndofCourse tests, 2002, Algebra 1, Connections & Applications . 


M.INTII.8.2 Probability: Recognize/Compound
The learner will be able to
recognize the probability of a specific event in a compound probability experiment.
Bloom's 
Scope 
Hours 
Source 
Knowledge 
Master 
1.1 
GA: EndofCourse tests, 2002, Algebra 1, Connections & Applications . 

PS9: FIGURES IN SPACE
The learner will be able to
analyze properties of geometric shapes, develop related mathematical arguments, and solve problems.


M.INTII.9.1 Coordinate Plane: Plot Points
The learner will be able to
graph points (ordered pairs of numbers) on a coordinate plane and identify the coordinates of given points in the plane. Identify the quadrants of the plane.
Bloom's 
Scope 
Hours 
Source 
Comprehension 
Master 
1.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #8 


M.INTII.9.2 Pythagorean Theorem: Use
The learner will be able to
apply the Pythagorean Theorem and its converse in problem solving scenarios.
Bloom's 
Scope 
Hours 
Source 
Application 
Master 
2.0 
A: Quality Core Curriculum, December 2000, Concepts of Algebra, #26; GA: EndofCourse tests, 2002, Algebra 1, Connections & Applications . 


M.INTII.9.3 Points: Identify
The learner will be able to
identify the coordinates of a point in a plane.
Bloom's 
Scope 
Hours 
Source 
Knowledge 
Reinforce 
1.0 
GA: Quality Core Curriculum, December 2000, Concepts of Algebra, #8 

2003 Cobb County School
District. All Rights Reserved
514 Glover Street  Marietta, Ga. 30060  (770) 4263300
Send your comments to Sue Brown
visitors since July 18, 2004
