Chalkboard


Mission Statement
Introduction
Credits
Ordering Info

Sequencing & Pacing Guide

Pre-requisite Skills Test

Integrated II Terms

Vertical Alignment

Skills Packets

Vocabulary

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© 2003 by Cobb County School District and Scantron Corporation.
All Rights Reserved.

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

Priority Level:

High =      Mid =       Low =


Width of topic indicates suggested time to be allotted

Algebraic Concepts | Data Analysis and Probability | Geometry | Number and Operations
 


Number and Operations

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: End-of-Course 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: End-of-Course 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
  Online Resource:  Iterating to Find the Square Root of 4
  
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
  Online Resource:  Iterating to Find the Square Root of 3
  

 

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: End-of-Course 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: End-of-Course 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: End-of-Course 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
  
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Algebraic Concepts

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: End-of-Course tests, 2002, Algebra 1, Solving Equations & Inequalities .
  Released CCT Item:  Solve multi-step inequalities
  Released CCT Item:  Graph the solution set of an inequality in one variable
  Online Resource:  Algebra Balance Scales
  
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: End-of-Course 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: End-of-Course tests, 2002, Algebra 1, Solving Equations & Inequalities .
  Released CCT Item:  Graph a linear equation for the form y = mx + b
  Online Resource:  Grapher
  Online Resource:  Slope of a Line
  Online Resource:  General Equation of a Line: ax + by = c
  Online Resource:  Slope Intercept Form of the Equation of a Line
  Online Resource:  Find Equation of a Line
  Online Resource:  Graphs of Basic Functions
  Online Resource:  Explore graphs of functions
  
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
Video, Operation Algebra: Slope of a Line (35:00) (math)
  
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: End-of-Course 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: End-of-Course tests, 2002, Algebra 1, Operations on Real Numbers .
  Released CCT Item:  Factor polynomials
  
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: End-of-Course 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
  Released CCT Item:  Determine if a relation is a function
  

 

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: End-of-Course tests, 2002, Algebra 1, Operations on Real Numbers .
  Released CCT Item:  Apply the laws of exponents
  

 

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: End-of-Course tests, 2002, Algebra 1, Operations on Real Numbers .
  Released CCT Item:  Add, subtract, multiply and divide polynomials
  

 

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
  Released CCT Item:  Add, subtract, multiply and divide polynomials
  

 

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
  Released CCT Item:  Add, subtract, multiply and divide polynomials
  

 

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
  Released CCT Item:  Add, subtract, multiply and divide polynomials
  

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: End-of-Course 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: End-of-Course 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
  Released CCT Item:  Solve problem involving ratio and proportion
  
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
  Released CCT Item:  Solve problem involving ratio and proportion
  
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
  Released CCT Item:  Solve percent problems
  

 

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
  
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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
Video, Mathematical Eye: Statistics (20:27) (math)
  Released CCT Item:  Determines median, mode, and range
  

 

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: End-of-Course 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: End-of-Course 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: End-of-Course tests, 2002, Algebra 1, Connections & Applications .
  
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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: End-of-Course 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
  
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