Chalkboard
Index
 


Mission Statement
Introduction
Credits
Ordering Info

Sequencing & Pacing Guide

Pre-requisite Skills Test

Integrated I Terms

Vertical Alignment

Skills Packets

Vocabulary

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© 2003 by Cobb County School District and Scantron Corporation.
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Cobb County School District
Mathematics (Updated July 2004)
Mathematics - Integrated Math I
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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 | Measurement | Number and Operations
 


Number and Operations

PS1: NUMBER SENSE
The learner will be able to represent, interpret, and compare real numbers.
  
M.INTI.1.1 Real Numbers: Recognize/Subsets
The learner will be able to identify and apply subsets and properties of the real number system, including simplify numerical and algebraic expressions, and determining equivalent expressions.
Bloom's Scope Hours Source
Knowledge Master 1.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #5 and #15; GA: End-of-Course tests, 2002, Algebra 1, Algebraic Fundamentals .
M.INTI.1.2 Equivalent Forms: Present/Equivalent
The learner will be able to present numbers in equivalent and estimated forms as well as order these forms through the use of suitable tools (including fractions, decimals, percents; scientific notation; square and cube roots and second and third powers of whole numbers; and estimates of fractions, decimals, and percents).
Bloom's Scope Hours Source
Application Reinforce 5.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #7
  
M.INTI.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 Problem Solving, #6; GA: End-of-Course tests, 2002, Algebra 1, Algebraic Fundamentals .
  
M.INTI.1.4 Prime/Factor/Multiple
The learner will be able to factor composite whole numbers, determine the factors of a whole number, and finds the prime factorization.
Bloom's Scope Hours Source
Comprehension Master 2.0 Cobb County Schools
  
M.INTI.1.5 Rational Numbers: Represent
The learner will be able to express rational numbers in decimal or fraction form, and express terminating or repeating decimals as fractions.
Bloom's Scope Hours Source
Comprehension Master 1.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #32; GA: End-of-Course tests, 2002, Algebra 1, Algebraic Fundamentals .
  

 

M.INTI.1.6 Mathematical Concepts: Form
The learner will be able to formulate mathematical definitions and express generalizations discovered through investigation.
Bloom's Scope Hours Source
  Master   GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #2
  

 

M.INTI.1.7 Communication: Ideas
The learner will be able to communicate mathematical concepts through the use of language and symbolism.
Bloom's Scope Hours Source
Application Master   GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #2
  

 

M.INTI.1.8 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
Application Master   GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #4
  

 

M.INTI.1.9 Mathematical Connections
The learner will be able to investigate connections within mathematics, and connections between various mathematical topics and their applications.
Bloom's Scope Hours Source
Analysis Introduce   GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #4
  

 

M.INTI.1.10 Math Concepts: Oral/Written
The learner will be able to express mathematical ideas both orally and in writing.
Bloom's Scope Hours Source
Application Master 1.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #2
  

 

M.INTI.1.11 Learning: Interpret/Written
The learner will be able to interpret a written presentation of mathematics.
Bloom's Scope Hours Source
Analysis Master 1.5 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #2
  

M.INTI.1.12 Argument: Validity
The learner will be able to follow a logical argument.
Bloom's Scope Hours Source
Analysis Master 1.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #3
  

M.INTI.1.13 Arguments: Create/Elementary
The learner will be able to construct simple arguments and test conjectures.
Bloom's Scope Hours Source
Synthesis Master 2.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #3
  
PS2: OPERATIONS AND THEIR RELATIONSHIPS
The learner will be able to apply the operations and properties of real numbers to solve problems.
  
M.INTI.2.1 Simplify Expressions/Order of Operations
The learner will be able to simplify numeric expressions using order of operations, and evaluates algebraic expressions.
Bloom's Scope Hours Source
Application Master 1.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #12; GA: End-of-Course tests, 2002, Algebra 1, Algebraic Fundamentals .
 Released CCT Item:  Apply the laws of exponents 
 Released CCT Item:  Evaluate a polynomial function

 

M.INTI.2.2 Exponents: Laws of Exponents
The learner will be able to apply the laws of exponents to simplify expressions containing integer exponents.
Bloom's Scope Hours Source
Application Master 2.0 GA: End-of-Course tests, 2002, Algebra 1, Operations on Real Numbers .
  

 

M.INTI.2.3 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 Problem Solving, #14; GA: End-of-Course tests, 2002, Algebra 1, Operations on Real Numbers .
  
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.INTI.3.1 Operations: Rational Numbers
The learner will be able to add, subtract, multiply, and divide integers and other rational numbers, and find their absolute values.
Bloom's Scope Hours Source
Comprehension Master 20.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #12; GA: End-of-Course tests, 2002, Algebra 1, Algebraic Fundamentals .
  

 

M.INTI.3.2 Strategies: Choose/Apply
The learner will be able to select and use appropriate and efficient methods of computing exact and approximate numbers, including mental computation, calculator, computer, and pencil and paper methods.
Bloom's Scope Hours Source
Analysis Master   GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #13
  

M.INTI.3.3 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 Problem Solving, #1
  
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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.INTI.4.1 Inequalities: Graph/Compound
The learner will be able to obtain and graph the solution of a compound inequality with one variable on a number line.
Bloom's Scope Hours Source
Comprehension Master 2.0 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
  
M.INTI.4.2 Solving Equations / Problem
The learner will be able to solve equations of one variable using a variety of methods. Solves problems involving equations of one variable.
Bloom's Scope Hours Source
Comprehension Master 3.0 GA: End-of-Course tests, 2002, Algebra 1, Solving Equations & Inequalities .
M.INTI.4.3 Functions: Linear/Determine
The learner will be able to find the intercepts of a linear function.
Bloom's Scope Hours Source
Application Introduce 0.5 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #24
  
M.INTI.4.4 Slope: Determine/Line
The learner will be able to determine the slope of a line.
Bloom's Scope Hours Source
Application Introduce 1.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #24
Video, Operation Algebra: Slope of a Line (35:00) (math)
  

 

M.INTI.4.5 Solving Equations and Inequalities
The learner will be able to solves equations and inequalities of one variable and graphs their solutions on a number line.
Bloom's Scope Hours Source
Comprehension Master 5.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #22; GA: End-of-Course tests, 2002, Algebra 1, Solving Equations & Inequalities .
Released CCT Item:  Solve multi-step equations
Online Resource:  Algebra Balance Scales

 

M.INTI.4.6 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
Analysis Introduce 2.0 Cobb County Schools
  

 

M.INTI.4.7 Generating Paired Data
The learner will be able to graph linear and non-linear functions using input/output tables including quadratic, radical and exponential equations.
Bloom's Scope Hours Source
Application Master 3.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #24
  

M.INTI.4.8 Functions/Relations: Problem
The learner will be able to use function diagrams to represent paired data, given a function rule.
Bloom's Scope Hours Source
Comprehension Introduce 2.0 Cobb County Schools
Released CCT Item:  Determine if a relation is a function
  

M.INTI.4.9 Functions/Relations: Differentiate
The learner will be able to determine if a relation is a function it is a function.
Bloom's Scope Hours Source
Analysis Introduce 2.0 Cobb County Schools
  
PS5: ALGEBRAIC PROBLEM SOLVING
The learner will be able to use a variety of functions to model and solve problems.
  
M.INTI.5.1 Represent Problems: Algebraic
The learner will be able to represent problem scenarios with algebraic expression and equations.
Bloom's Scope Hours Source
Application Master 2.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #2 and #15; GA: End-of-Course tests, 2002, Algebra 1, Algebraic Fundamentals .
M.INTI.5.2 Words to Expressions
The learner will be able to translate words into algebraic expressions and equations. Represent problem situations by algebraic expressions and equations.
Bloom's Scope Hours Source
Analysis Master 2.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #20
M.INTI.5.3 Linear Equations: Solve
The learner will be able to obtain solutions to problems involving linear equations employing a variety of methods including concrete models, calculators, and/or computers.
Bloom's Scope Hours Source
Application Develop 1.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #21
  
M.INTI.5.4 Linear System of Equations:
The learner will be able to obtain solutions to systems of two linear equations in two variables.
Bloom's Scope Hours Source
Application Introduce 1.5 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #25

 

M.INTI.5.5 Problem Solving: Tools
The learner will be able to use a variety of technology/manipulatives to investigate, model, and solve problems.
Bloom's Scope Hours Source
Application Master 2.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #8, #9, #10, and #11
  

 

M.INTI.5.6 Problem Solving: Percents
The learner will be able to solve problems involving ratios, proportions and percents.
Bloom's Scope Hours Source
Application Master 2.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #23; GA: End-of-Course tests, 2002, Algebra 1, Connections & Applications .
  Released CCT Item:  Solve problem involving ratio and proportion
  Released CCT Item:  Solve percent problems
 

 

M.INTI.5.7 Variables: Represent
The learner will be able to represent applied scenarios involving number and variable quantities using algebraic expressions, equations, and inequalities.
Bloom's Scope Hours Source
Analysis Develop 2.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #16 and #17
  

M.INTI.5.8 Formulas: Evaluate/Basic
The learner will be able to evaluate basic formulas.
Bloom's Scope Hours Source
Analysis Master 1.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #19; GA: End-of-Course tests, 2002, Algebra 1, Algebraic Fundamentals .
  
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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.INTI.6.1 Charts and graphs
The learner will be able to apply operations of rational numbers to problems involving tables, charts, and graphs.
Bloom's Scope Hours Source
Application Master 3.0 Cobb County Schools
  

 

M.INTI.6.2 Mean/median/mode/range
The learner will be able to apply operations of rational numbers to compute mean, median, mode, and range.
Bloom's Scope Hours Source
Application Master 4.0 Cobb County Schools
Video, Mathematical Eye: Statistics (20:27) (math)
  Released CCT Item:  Determines median, mode, and range
  
PS7: PROBABILITY
The learner will be able to apply the laws of probability and counting principles in real world contexts.
  
M.INTI.7.1 Probability
The learner will be able to apply operations of rational numbers to determine probabilities.
Bloom's Scope Hours Source
Application Master 3.0 Cobb County Schools
  
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PS8: ATTRIBUTES AND UNITS
The learner will be able to select appropriate standard units for measuring.
  

 

M.INTI.8.1 Problem Solving: Metric/Customary
The learner will be able to apply operations of rational numbers to estimate measurements and solve problems in both customary and metric systems.
Bloom's Scope Hours Source
Application Master 4.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #26
  
PS9: TOOLS, TECHNIQUES, AND FORMULAS
The learner will be able to estimate and apply tools and formulas for various measures in problem solving.
  
M.INTI.9.1 Perimeter and Area
The learner will be able to apply operations of rational numbers to compute lengths, perimeters, and areas of plane figures, including angle measures.
Bloom's Scope Hours Source
Application Master 1.0 Cobb County Schools
  

 

M.INTI.9.2 Angles: Measuring
The learner will be able to measure angles.
Bloom's Scope Hours Source
Application Reinforce 1.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #30
  

M.INTI.9.3 Angles: Interior/Degrees
The learner will be able to find the degree measurement of the interior angles of geometric shapes.
Bloom's Scope Hours Source
Application Reinforce 0.5 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #31
  
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Geometry

PS10: FIGURES IN SPACE
The learner will be able to analyze properties of geometric shapes, develop related mathematical arguments, and solve problems.
  
M.INTI.10.1 Coordinate Plane: Plot Point
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 2.0 Cobb County Schools
  
M.INTI.10.2 Coordinate Plane: Distance
The learner will be able to apply the distance and mid-point formulas.
Bloom's Scope Hours Source
Comprehension Master 2.0 Cobb County Schools
  
M.INTI.10.3 Congruent/Similar: Differentiate
The learner will be able to recognize and/or differentiate among similar and congruent figures.
Bloom's Scope Hours Source
Knowledge Introduce 2.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #27
  
M.INTI.10.4 Reasoning: Develop Skills
The learner will be able to formulate logical reasoning ability through the accumulation of many and varied experiences.
Bloom's Scope Hours Source
Application Introduce 2.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #3
  
M.INTI.10.5 Properties of Figures: Circles
The learner will be able to find the percent area of a circle given a central angle measure in a pie chart.
Bloom's Scope Hours Source
Application Reinforce 1.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #29
  
M.INTI.10.6 Pythagorean Theorem: Problems
The learner will be able to solve problems using the Pythagorean Theorem.
Bloom's Scope Hours Source
Application Reinforce 1.5 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #33

 

M.INTI.10.7 Properties of Figures: Parallelograms
The learner will be able to relate parallel sides and angle relations of parallelograms.
Bloom's Scope Hours Source
Analysis Introduce 1.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #29
  

 

M.INTI.10.8 Transformations: Recognize
The learner will be able to recognize shapes that have undergone transformation (rotation, reflection, and translation).
Bloom's Scope Hours Source
Knowledge Develop 1.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #27

 

M.INTI.10.9 Triangles: Missing Sides
The learner will be able to solve for the measure of missing sides and angles of a triangle.
Bloom's Scope Hours Source
Application Introduce 1.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #32
  

 

M.INTI.10.10 Figures: Identify
The learner will be able to recognize lines, angles, circles, polygons, cylinders, cones, rectangular solids and/or spheres in common objects.
Bloom's Scope Hours Source
Knowledge Reinforce 1.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #28
  

M.INTI.10.11 Angles: Classify
The learner will be able to classify angles according to angle measure.
Bloom's Scope Hours Source
Analysis Reinforce 1.0 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #30
  

M.INTI.10.12 Angles: Draw
The learner will be able to draw an angle.
Bloom's Scope Hours Source
Synthesis Reinforce 0.5 GA: Quality Core Curriculum, December 2000, Concepts of Problem Solving, #30
  
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Released CCT Item:  Classify numbers as natural, whole, integer, and (or) real