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© 2003 by
Cobb County School District
and
Scantron Corporation.
All Rights Reserved.
Made with
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 I |
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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.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.
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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).
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M.INTI.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.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.
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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.
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M.INTI.1.6 Mathematical Concepts: Form
The learner will be able to
formulate mathematical definitions and express generalizations discovered through investigation.
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M.INTI.1.7 Communication: Ideas
The learner will be able to
communicate mathematical concepts through the use of language and symbolism.
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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.
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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.
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M.INTI.1.10 Math Concepts: Oral/Written
The learner will be able to
express mathematical ideas both orally and in writing.
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M.INTI.1.11 Learning: Interpret/Written
The learner will be able to
interpret a written presentation of mathematics.
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M.INTI.1.12 Argument: Validity
The learner will be able to
follow a logical argument.
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M.INTI.1.13 Arguments: Create/Elementary
The learner will be able to
construct simple arguments and test conjectures.
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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.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.
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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.
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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.
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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.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.
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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.
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M.INTI.3.3 Solution: Reasonableness
The learner will be able to
judge the reasonableness of a proposed solution.
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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.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.
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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.
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M.INTI.4.3 Functions: Linear/Determine
The learner will be able to
find the intercepts of a linear function.
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M.INTI.4.4 Slope: Determine/Line
The learner will be able to
determine the slope of a line.
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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.
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M.INTI.4.6 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.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.
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M.INTI.4.8 Functions/Relations: Problem
The learner will be able to
use function diagrams to represent paired data, given a function rule.
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M.INTI.4.9 Functions/Relations: Differentiate
The learner will be able to
determine if a relation is a function it is a function.
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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.INTI.5.1 Represent Problems: Algebraic
The learner will be able to
represent problem scenarios with algebraic expression and equations.
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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.
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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.
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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.
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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.
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M.INTI.5.6 Problem Solving: Percents
The learner will be able to
solve problems involving ratios, proportions and percents.
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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.
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M.INTI.5.8 Formulas: Evaluate/Basic
The learner will be able to
evaluate basic formulas.
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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.INTI.6.1 Charts and graphs
The learner will be able to
apply operations of rational numbers to problems involving tables, charts, and graphs.
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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.
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PS7: PROBABILITY
The learner will be able to
apply the laws of probability and counting principles in real world contexts.
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M.INTI.7.1 Probability
The learner will be able to
apply operations of rational numbers to determine probabilities.
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PS8: ATTRIBUTES AND UNITS
The learner will be able to
select appropriate standard units for measuring.
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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.
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PS9: TOOLS, TECHNIQUES, AND FORMULAS
The learner will be able to
estimate and apply tools and formulas for various measures in problem solving.
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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.
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M.INTI.9.2 Angles: Measuring
The learner will be able to
measure angles.
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M.INTI.9.3 Angles: Interior/Degrees
The learner will be able to
find the degree measurement of the interior angles of geometric shapes.
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PS10: 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.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.
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M.INTI.10.2 Coordinate Plane: Distance
The learner will be able to
apply the distance and mid-point formulas.
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M.INTI.10.3 Congruent/Similar: Differentiate
The learner will be able to
recognize and/or differentiate among similar and congruent figures.
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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.
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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.
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M.INTI.10.6 Pythagorean Theorem: Problems
The learner will be able to
solve problems using the Pythagorean Theorem.
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M.INTI.10.7 Properties of Figures: Parallelograms
The learner will be able to
relate parallel sides and angle relations of parallelograms.
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M.INTI.10.8 Transformations: Recognize
The learner will be able to
recognize shapes that have undergone transformation (rotation, reflection, and translation).
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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.
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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.
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M.INTI.10.11 Angles: Classify
The learner will be able to
classify angles according to angle measure.
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M.INTI.10.12 Angles: Draw
The learner will be able to
draw an angle.
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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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