|
Page can best
be viewed using Internet Explorer 4.0, or higher.
© 2003 by
Cobb County School District
and
Scantron Corporation.
All Rights Reserved.
Made with
Curriculum Designer by
Scantron Corporation
|
|
|
Cobb County School District |
|
Mathematics (Updated July 2003) |
|
Mathematics - Algebra I |
To print in Internet Explorer: Click
"File" -->"Page Setup"--> "Landscape"-->"OK"-->"File"-->"Print" |
Goals and Descriptions |
|
PS1: NUMBER SENSE
The learner will be able to represent, interpret, and compare real numbers.
|
|
ллл |
M.ALGI.1.1 Simplify Expressions/Order
The learner will be able to simplify numeric expressions using order of
operations, Evaluates algebraic expressions.
|
|
ллл |
M.ALGI.1.2 Exponents: Laws of Exponents
The learner will be able to apply the laws of exponents to simplify
expressions containing integer exponents.
|
|
лл |
M.ALGI.1.3 Number Lines: Real Numbers
The learner will be able to use a real number line to graph a real number.
|
|
лл |
M.ALGI.1.4 Square Root: Rationals/Irrationals
The learner will be able to
use decimals to approximate the value of irrational numbers.
|
|
л |
M.ALGI.1.5 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.
|
PS2: OPERATIONS AND THEIR RELATIONSHIPS
The learner will be able to
apply the operations and properties of real numbers to solve problems.
|
|
ллл |
M.ALGI.2.1 Words to Expressions
The learner will be able to
translate words into algebraic expressions and equations. Represent problem situations by algebraic expressions and equations.
|
|
ллл |
M.ALGI.2.2 Properties: Real Numbers
The learner will be able to
identify and apply properties (commutative, associative, distributive, identity, inverse) of real numbers.
|
|
ллл |
M.ALGI.2.3 Problem Solving: Percents
The learner will be able to
solve problems involving ratios, proportions and percents.
|
|
ллл |
M.ALGI.2.4 Radicals: Equations/Basic/Solve
The learner will be able to
solve problems involving simple radical equations.
|
|
ллл |
M.ALGI.2.5 Radicals: Square Roots/Simply
The learner will be able to
simplify, multiply, divide, add and subtract square roots (radicals / irrational numbers).
|
|
лл |
M.ALGI.2.6 Formulas: Evaluate/Basic
The learner will be able to
evaluate basic formulas.
|
|
лл |
M.ALGI.2.7 Operations: Rational Numbers
The learner will be able to
adds, subtracts, multiplies, and divides integers and other rational numbers, and finds their absolute values.
|
|
лл |
M.ALGI.2.8 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.
|
|
л |
M.ALGI.2.9 Radicals/Fractional Exponents
The learner will be able to
evaluate expressions with fractional exponents and use fractional exponents to simplify radical expressions.
|
|
л |
M.ALGI.2.10 Radicals: Equations/Simple/Solve
The learner will be able to
solve simple radical equations.
|
PS3: COMPUTATION AND ESTIMATION
The learner will be able to
develop fluency in all operations with real numbers in real world problem solving situations.
|
|
ллл |
M.ALGI.3.1 Problem Solving: Throughout
The learner will be able to
solve problems throughout this course that involve selecting appropriate strategies, using estimation to predict computational results, and judging reasonableness of outcome.
|
|
лл |
M.ALGI.3.2 Expressions: Recognize/Solutions
The learner will be able to
recognize an expression that illustrates the solution to a math problem.
|
PS4: PATTERNS, RELATIONS, AND FUNCTIONS
The learner will be able to
use functions to represent and analyze patterns and quantitative relationships.
|
|
ллл |
M.ALGI.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.
|
|
ллл |
M.ALGI.4.2 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.
|
|
ллл |
M.ALGI.4.3 Slope: Compute
The learner will be able to
determine the slope and intercepts of the graph, given a linear equation.
|
|
ллл |
M.ALGI.4.4 Graphing Linear Equations
The learner will be able to
sketch the graph of and write a linear equation in two variables given two points or one point and the slope.
|
|
ллл |
M.ALGI.4.5 Cartesian Plane: Graphing Linear Equations
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.
|
|
ллл |
M.ALGI.4.6 Linear System of Equations
The learner will be able to
solve a system of two linear equations in two variables by a variety of methods including graphing.
|
|
ллл |
M.ALGI.4.7 Graphing Linear Inequalities
The learner will be able to
graph linear inequalities in two variables.
|
|
ллл |
M.ALGI.4.8 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.
|
|
ллл |
M.ALGI.4.9 Quadratic Equation: Solve
The learner will be able to
solve quadratic equations using a variety of methods including the quadratic formula, factoring, completing the square, scientific or graphing calculator, or computer.
|
|
ллл |
M.ALGI.4.10 Rational equations
The learner will be able to
solve simple rational equations, including equations with fractional coefficients.
|
|
ллл |
M.ALGI.4.11 Algebraic Fractions: Basic
The learner will be able to
multiply, divide, add, and subtract algebraic fractions.
|
|
лл |
M.ALGI.4.12 Algebraic Concepts: Simplify
The learner will be able to
recognize and simplify basic algebraic fractions.
|
|
лл |
M.ALGI.4.13 Polynomials: Add/Subtract
The learner will be able to
add and subtract polynomials.
|
|
лл |
M.ALGI.4.14 Polynomials: Multiply
The learner will be able to
multiply polynomials (two monomials, a monomial and a polynomial, two binomials, two polynomials.
|
|
лл |
M.ALGI.4.15 Polynomials: Divide by Mono
The learner will be able to
divide a polynomial by a monomial.
|
|
лл |
M.ALGI.4.16 Polynomials: Exponents
The learner will be able to
use laws of exponents necessary to perform polynomial operations including scientific notation.
|
|
лл |
M.ALGI.4.17 Monomials: Powers/Quotients
The learner will be able to
find products and quotients of monomials.
|
|
лл |
M.ALGI.4.18 Functions/Relations: Differentiate
The learner will be able to
differentiate between functions and relations.
|
|
л |
M.ALGI.4.19 Graphing: Domain/Range
The learner will be able to
identify the domain and range of a given function or relation.
|
|
л |
M.ALGI.4.20 Polynomials: Recognizing Expressions
The learner will be able to
identify polynomial expressions (expressions, binomial, trinomial, degree).
|
|
л |
M.ALGI.4.21 Generating Paired Data
The learner will be able to
graph non-linear functions using input/output tables including quadratic, radical and exponential equations.
|
|
л |
M.ALGI.4.22 Polynomials: Determine/Coefficient
The learner will be able to
determine the leading coefficient, constant term, and total number of terms in a polynomial.
|
PS5: ALGEBRAIC PROBLEM SOLVING
The learner will be able to
use a variety of functions to model and solve problems.
|
|
ллл |
M.ALGI.5.1 Functions/Relations: Problems
The learner will be able to
apply patterns, relations and functions to obtain solutions to problems.
|
|
ллл |
M.ALGI.5.2 Solving Equations / Problems
The learner will be able to
solve equations of one variable using a variety of methods. Solves problems involving equations of one variable.
|
|
ллл |
M.ALGI.5.3 Linear System of Equations
The learner will be able to
solve problems using systems of equations.
|
|
лл |
M.ALGI.5.4 Direct/Inverse Variations: Problems
The learner will be able to
solve problems using rational equations including proportions, rate, and variation (direct, inverse, or joint) problems.
|
|
лл |
M.ALGI.5.5 Represent Problems: Algebraic
The learner will be able to
represent problem scenarios with algebraic expression and equations.
|
|
л |
M.ALGI.5.6 Problem Solving: Tools
The learner will be able to
uses a variety of technology to investigate and solve problems.
|
|
Data Analysis and Probability
|
PS6: DATA ORGANIZATION
The learner will be able to
conduct investigations using statistical tools and display resulting data.
|
|
ллл |
M.ALGI.6.1 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.
|
|
ллл |
M.ALGI.6.2 Outcomes: Identify
The learner will be able to
recognize potential outcomes for an elementary experiment.
|
|
лл |
M.ALGI.6.3 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.
|
|
л |
M.ALGI.6.4 Probability: Recognize/Compound
The learner will be able to
recognize the probability of a specific event in a compound probability experiment.
|
PS7: FIGURES IN SPACE
The learner will be able to
analyze properties of geometric shapes, develop related mathematical arguments, and solve problems.
|
|
ллл |
M.ALGI.7.1 Coordinate Plane: Distance,
The learner will be able to
apply the distance and mid-point formulas.
|
|
лл |
M.ALGI.7.2 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.
|
PS8: SPATIAL RELATIONSHIPS
The learner will be able to
make, test, and validate conjectures associated with spatial relationships in problem solving.
|
|
ллл |
M.ALGI.8.1 Pythagorean Theorem: Use
The learner will be able to
apply the Pythagorean Theorem and its converse in problem solving scenarios.
|
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
|
