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© 2003 by
Cobb County School District
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Scantron Corporation.
All Rights Reserved.
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Curriculum Designer by
Scantron Corporation
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Cobb County School District |
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Mathematics (Updated July 2003) |
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Mathematics - Integrated Math II |
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Goals and Descriptions |
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PS1: NUMBER SENSE
The learner will be able to
represent, interpret, and compare real numbers.
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M.INTII.1.1 Real Numbers: Recognize/Subsets
The learner will be able to
identify and apply subsets of the real number system.
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M.INTII.1.2 Rational Numbers: Represent
The learner will be able to
represent rational numbers in equivalent forms.
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M.INTII.1.3 Number Lines: Real Numbers
The learner will be able to
use a real number line to graph a real number.
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M.INTII.1.4 Rational Numbers: Determine
The learner will be able to
determine the square root of rational numbers.
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M.INTII.1.5 Square Root: Rationals/Irrationals
The learner will be able to
use decimals to approximate the value of irrational numbers.
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M.INTII.1.6 Argument: Validity
The learner will be able to
follow a logical argument.
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M.INTII.1.7 Arguments: Create/Elementary
The learner will be able to
construct simple arguments.
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M.INTII.1.8 Mathematical Concepts: Relationships
The learner will be able to
reflect upon and clarify mathematical ideas and relationships.
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M.INTII.1.9 Communication: Ideas
The learner will be able to
express mathematical ideas both orally and in writing.
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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.
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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.
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M.INTII.1.12 Learning: Interpret/Written
The learner will be able to
interpret a written presentation of mathematics.
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PS2: OPERATIONS AND THEIR RELATIONSHIPS
The learner will be able to
apply the operations and properties of real numbers to solve problems.
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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.
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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.
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PS3: COMPUTATION AND ESTIMATION
The learner will be able to
develop fluency in all operations with real numbers in real world problem solving situations.
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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.
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M.INTII.3.2 Square Roots: Operations
The learner will be able to
add, subtract, multiply, and divide with square roots.
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PS4: PATTERNS, RELATIONS, AND FUNCTIONS
The learner will be able to
use functions to represent and analyze patterns and quantitative relationships.
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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.
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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.
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M.INTII.4.3 Linear Equations: Write
The learner will be able to
write a linear equation when presented with information.
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M.INTII.4.4 Graphing Linear Inequalities
The learner will be able to
graph linear equations and inequalities in two variables.
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M.INTII.4.5 Slope: Compute
The learner will be able to
given a linear equation, determine the slope and intercepts of the graph.
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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.
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M.INTII.4.7 Linear Equations: Problem
The learner will be able to
solve problems using linear equations.
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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.
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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.
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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.
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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.
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M.INTII.4.12 Algebraic Concepts: Simplify
The learner will be able to
recognize and simplify basic algebraic fractions.
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M.INTII.4.13 Algebraic Fractions: Basic
The learner will be able to
multiply, divide, add, and subtract simple algebraic fractions.
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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.
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M.INTII.4.15 Quadratic Equation: Solve
The learner will be able to
solve quadratic equations using the quadratic formula, graphing calculator, or computer.
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M.INTII.4.16 Radicals: Equations/Basic
The learner will be able to
solve basic radical equations.
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M.INTII.4.17 Functions/Relations: Differentiate
The learner will be able to
differentiate between functions and relations.
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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.
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M.INTII.4.19 Polynomials: Exponents
The learner will be able to
use laws of exponents necessary to perform polynomial operations including scientific notation.
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M.INTII.4.20 Polynomials: Add/Subtract
The learner will be able to
add and subtract polynomials.
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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.
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M.INTII.4.22 Monomials: Powers/Quotient
The learner will be able to
find products and quotients of monomials.
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M.INTII.4.23 Polynomials: Divide by Monomial
The learner will be able to
divide a polynomial by a monomial.
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M.INTII.4.24 Expressions: Translate
The learner will be able to
translate word expressions into algebraic expressions.
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M.INTII.4.25 Equations: Translate/Words
The learner will be able to
translate word expressions into algebraic equations.
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M.INTII.4.26 Graphing: Domain/Range
The learner will be able to
identify the domain and range of a given function or relation.
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M.INTII.4.27 Formulas: Evaluate/Basic
The learner will be able to
evaluate basic formulas.
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M.INTII.4.28 Polynomials: Recognizing Expressions
The learner will be able to
identify polynomial expressions (expressions, binomial, trinomial, degree).
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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.
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PS5: ALGEBRAIC PROBLEM SOLVING
The learner will be able to
use a variety of functions to model and solve problems.
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M.INTII.5.1 Represent Problems: Algebra
The learner will be able to
represent problem situations by algebraic expression and equations.
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M.INTII.5.2 Proportions: Problem Solve
The learner will be able to
solve proportion problems.
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M.INTII.5.3 Ratio: Solve Problems
The learner will be able to
obtain solutions to problems that involve ratios.
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M.INTII.5.4 Problem Solving: Percents
The learner will be able to
obtain solutions to problems involving percents.
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M.INTII.5.5 Analyzing Problems: Conjectures
The learner will be able to
make and test conjectures.
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M.INTII.5.6 Solution: Reasonableness
The learner will be able to
judge the reasonableness of a proposed solution.
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M.INTII.5.7 Solving Problems
The learner will be able to
propose and evaluate information needed to solve problems based on applied situations.
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Data Analysis and Probability
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PS6: DATA ORGANIZATION
The learner will be able to
conduct investigations using statistical tools and display resulting data.
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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.
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M.INTII.6.2 Data Collection: Organize/Record
The learner will be able to
collect, organize, and record data collected through and experimentation.
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PS7: DATA ANALYSIS
The learner will be able to
evaluate statistical studies and determine inferences that can be justified.
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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.
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M.INTII.7.2 Outcomes: Identify
The learner will be able to
recognize potential outcomes for an elementary experiment.
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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).
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PS8: PROBABILITY
The learner will be able to
apply the laws of probability and counting principles in real world contexts.
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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.
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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.
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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.
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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.
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M.INTII.9.2 Pythagorean Theorem: Use
The learner will be able to
apply the Pythagorean Theorem and its converse in problem solving scenarios.
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M.INTII.9.3 Points: Identify
The learner will be able to
identify the coordinates of a point in a plane.
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й 2003 Cobb County School
District. All Rights Reserved
514 Glover Street | Marietta, Ga. 30060 | (770) 426-3300
Send your comments to Sue Brown
visitors since July 18, 2003
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