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Norwin School District |
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Norwin High School Mathematics |
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Mathematics - Grade 9 Cognitive Tutor Algebra I |
Operations: Apply/Order
The learner will be able to
apply the order of operations with integers.
| Strand |
Source |
Activities |
| Operations |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Operations: Use/Order of Operations
The learner will be able to
use the order of operations when completing computations with integers that apply no more than two sets of grouping symbols and exponents 1 and 2.
| Strand |
Source |
Activities |
| Operations |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Order of Operations
The learner will be able to
determine the correct order of operations when addition, subtraction, multiplication, division, and parentheses are included.
| Strand |
Source |
Activities |
| Order of Operations |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Basic Operations: Integers/Rationals
The learner will be able to
perform the four basic operations with integers and rational numbers with and without the use of a calculator.
| Strand |
Source |
Activities |
| Basic Operations |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Properties: Applying Distributive
The learner will be able to
use the distributive property of multiplication over addition and subtraction with whole numbers.
| Strand |
Source |
Activities |
| Properties |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Expressions: Distributive Property
The learner will be able to
study various expressions which emphasize the distributive property.
| Strand |
Source |
Activities |
| Expressions |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Real Numbers and the Coordinate Plane
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Linear Equations: Distributive
The learner will be able to
apply the distributive property to obtain the solution to a one-variable equation with variables on both sides of the equation.
| Strand |
Source |
Activities |
| Linear Equations |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Linear Equations: Solve
The learner will be able to
obtain solutions to linear equations.
| Strand |
Source |
Activities |
| Linear Equations |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.N |
Classroom
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Linear Equations: Solve Multi-Step
The learner will be able to
obtain solutions to linear equations that involve multiple steps.
| Strand |
Source |
Activities |
| Linear Equations |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Graphing: Linear Functions
The learner will be able to
choose, account for, and use a suitable method (such as, slope-intercept, x- and y-intercepts, graphing calculators, and the use of transformations) to create a graph of a linear function with two variables.
| Strand |
Source |
Activities |
| Graphing Functions |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.K |
Classroom
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Real Numbers and the Coordinate Plane
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Linear Equations: Find/X-/Y-Intercepts
The learner will be able to
find the x- and y-intercepts of a line when given the graph of a linear relationship.
| Strand |
Source |
Activities |
| Linear Equations |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Equations: X- and Y-Intercepts
The learner will be able to
determine x- and y-intercepts from an equation or graph.
| Strand |
Source |
Activities |
| Equations |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Real Numbers and the Coordinate Plane
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Graphing: Recognize/X- and Y-Intercepts
The learner will be able to
recognize x- and y-intercepts in the context of a problem.
| Strand |
Source |
Activities |
| Graphing |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Linear Equations: Graph/Two Points
The learner will be able to
determine the equation of a line given the graph of the line or two points on the line.
| Strand |
Source |
Activities |
| Linear Equations |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.L |
Classroom
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Linear Equations: Slope/Point
The learner will be able to
determine the equation of a line given the slope and a point on the line.
| Strand |
Source |
Activities |
| Linear Equations |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.L |
Classroom
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Graphing: Lines/Slope/Y-Intercept
The learner will be able to
draw the graph of a line on a coordinate plane using only its slope and y-intercept.
| Strand |
Source |
Activities |
| Graphing |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Graphing: Absolute Value Equations
The learner will be able to
create graphs of absolute value equations on the coordinate plane.
| Strand |
Source |
Activities |
| Graphing |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Graphing: Absolute Value/Linear Function
The learner will be able to
graph absolute values of linear functions on a coordinate plane.
| Strand |
Source |
Activities |
| Religion: Islam |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Linear Equations: Write/Standard Form
The learner will be able to
write a given equation of a line in standard form.
| Strand |
Source |
Activities |
| Linear Equations |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Linear Equations/Inequalities: Solve
The learner will be able to
obtain solutions to linear equations and inequalities symbolically, graphically, and numerically.
| Strand |
Source |
Activities |
| Linear Equations/Inequalities |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Linear Equations: Graph/Two-Variables
The learner will be able to
graph a linear equation in two variables.
| Strand |
Source |
Activities |
| Linear Equations |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.N |
Classroom
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Equations: Write
The learner will be able to
use a given set of data points to write an equation for a line of best fit.
| Strand |
Source |
Activities |
| Equations |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.M |
Classroom
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Inequalities: Two Variables
The learner will be able to
solve inequalities with two variables using basic operations.
| Strand |
Source |
Activities |
| Inequalities |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Inequalities: Graph/Simple/Compound
The learner will be able to
graph simple and compound inequalities on a number line.
| Strand |
Source |
Activities |
| Inequalities |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Inequalities: Solve/Compound
The learner will be able to
obtain solutions to compound inequalities with one variable.
| Strand |
Source |
Activities |
| Inequalities |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Real Numbers and the Coordinate Plane
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Linear Equations/Inequalities: Graph
The learner will be able to
create graphs on the coordinate plane of linear equations and inequalities.
| Strand |
Source |
Activities |
| Linear Equations/Inequalities |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Linear Inequalities: Graph/Two Variables
The learner will be able to
create a graph for a linear inequality in two variables.
| Strand |
Source |
Activities |
| Linear Inequalities |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Inequalities: Translate/Word
The learner will be able to
translate word phrases into inequalities.
| Strand |
Source |
Activities |
| Inequalities |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Linear System of Equations: Solve
The learner will be able to
calculate solutions to systems of linear equations.
| Strand |
Source |
Activities |
| Linear Systems of Equations |
PA: System of School Assessment, 1997, Grade 11, p.12,#5 week tested: 27. |
Classroom
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Systems of Equations: Substitution
The learner will be able to
solve a system of two equations with two variables through substitution.
| Strand |
Source |
Activities |
| Systems of Equations |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Linear System of Equations: Solve
The learner will be able to
find the number of solutions of a system of linear equations, and/or tell whether the system is consistent (independent/dependent) or inconsistent.
| Strand |
Source |
Activities |
| Linear Systems of Equations |
PA: Academic Standards, January 16, 1999, Grade 11, p.13,2.8.11.F |
Classroom
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Systems of Equations: Solve/Graphing
The learner will be able to
determine solutions to simple systems of equations by graphing.
| Strand |
Source |
Activities |
| Systems of Equations |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Systems of Equations: Graphing
The learner will be able to
graph systems of equations.
| Strand |
Source |
Activities |
| Systems of Equations |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Linear Inequalities: Graph/System
The learner will be able to
create a graph for the solution set of a system of linear inequalities in two variables.
| Strand |
Source |
Activities |
| Linear Inequalities |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Operations: Square Roots
The learner will be able to
use operations on square roots with and without the aid of calculators.
| Strand |
Source |
Activities |
| Operations |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Exponents: Solve/Equations
The learner will be able to
solve equations involving exponents symbolically and graphically.
| Strand |
Source |
Activities |
| Exponents |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.N |
Classroom
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Radical Equations: Solve/Square Roots
The learner will be able to
find the solution to a radical equation which involves one radical and only square roots.
| Strand |
Source |
Activities |
| Radicals |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Nonlinear Equations: Solve/Square Roots
The learner will be able to
obtain solutions to equations involving square roots.
| Strand |
Source |
Activities |
| Nonlinear Equations |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Quadratic Equations: Solving
The learner will be able to
solve quadratic equations using the appropriate method.
| Strand |
Source |
Activities |
| Quadratic Equations/Formula |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.N |
Classroom
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Quadratic Equations: Graphing
The learner will be able to
solve quadratic equations through graphing.
| Strand |
Source |
Activities |
| Quadratic Equations/Formula |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.N |
Classroom
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Quadratic Equation: Quadratic Formula
The learner will be able to
solve quadratic equations by applying the quadratic formula.
| Strand |
Source |
Activities |
| Quadratic Equations/Formula |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Quadratic Equations: Solve/Formulas
The learner will be able to
obtain solutions to quadratic equations with real roots using the quadratic formula.
| Strand |
Source |
Activities |
| Quadratic Equations/Formula |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Calculus and Pre-Calculus
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Conic Sections: Define
The learner will be able to
define the conic sections (circle, ellipse, parabola, and hyperbola) as the intersection of a plane and a conic surface.
| Strand |
Source |
Activities |
| Conic Sections |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Probability of Events: Analyzing
The learner will be able to
analyze the probability of events to determine their dependence or independence, and study the probability of compound events.
| Strand |
Source |
Activities |
| Probability |
PA: System of School Assessment, 1997, Grade 11, p.12,#4 week tested: 27. |
Classroom
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Data: Statistical Measures
The learner will be able to
explain data as an example of distribution applying statistical measures of center and spread.
| Strand |
Source |
Activities |
| Data |
PA: Academic Standards, January 16, 1999, Grade 11, p.9,2.6.11.A |
Classroom
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Outcomes: Probability
The learner will be able to
apply experimental and theoretical probability distributions to form opinions about the likelihood of different outcomes in uncertain situations.
| Strand |
Source |
Activities |
| Outcomes |
PA: Academic Standards, January 16, 1999, Grade 11, p.11,2.7.11.D |
Classroom
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Data Management: Organize/Study
The learner will be able to
use technology to organize and study data acquired from the local community.
| Strand |
Source |
Activities |
| Data Management |
PA: Academic Standards, January 16, 1999, Grade 11, p.9,2.6.11.B |
Classroom
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Probability/Statistics: Problem Solving
The learner will be able to
understand and use basic probability and statistics concepts to solve both real world and theoretical problems.
| Strand |
Source |
Activities |
| Probability/Statistics |
PA: System of School Assessment, 1997, Grade 11, p.12,#4 week tested: 27. |
Classroom
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Probability/Statistics: Use
The learner will be able to
use probability and statistics to conduct an experiment involving a sample, and then generalize its results to the entire population.
| Strand |
Source |
Activities |
| Probability/Statistics |
PA: Academic Standards, January 16, 1999, Grade 11, p.11,2.7.11.B |
Classroom
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Probability: Odds
The learner will be able to
understand the difference between odds and probability.
| Strand |
Source |
Activities |
| Probability |
PA: Academic Standards, January 16, 1999, Grade 11, p.11,2.7.11.A |
Classroom
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Data: Best Fit
The learner will be able to
find the regression equation of best fit.
| Strand |
Source |
Activities |
| Data |
PA: Academic Standards, January 16, 1999, Grade 11, p.9,2.6.11.C |
Classroom
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Monomials/Polynomials: Add/Subtract
The learner will be able to
use concrete models to add and subtract monomials and polynomials.
| Strand |
Source |
Activities |
| Polynomials |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Polynomials: Add/Subtract/Multiply
The learner will be able to
perform addition, subtraction, and multiplication of polynomials.
| Strand |
Source |
Activities |
| Polynomials |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Polynomials: Divide
The learner will be able to
perform the division of one polynomial by another of a lower degree using either the division algorithm or synthetic division.
| Strand |
Source |
Activities |
| Polynomials |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Factoring: Monomials From Polynomials
The learner will be able to
factor a monomial from a given polynomial.
| Strand |
Source |
Activities |
| Factoring |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Factoring: Polynomials
The learner will be able to
factor trinomials, perfect square trinomials, or the difference between two squares.
| Strand |
Source |
Activities |
| Factoring |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Relations: Analyze
The learner will be able to
study a relation, looking for the existence of either a direct or inverse variation, and illustrate it through algebraic or graphical means.
| Strand |
Source |
Activities |
| Relations |
PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.P |
Classroom
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Graphing: Functions/Relations
The learner will be able to
graph both functions and relations within the coordinate plane.
| Strand |
Source |
Activities |
| Graphing Functions |
PA: System of School Assessment, 1997, Grade 11, p.12,#5 week tested: 27. |
Classroom
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Representations: Problem Situations
The learner will be able to
use functions to represent problem situations.
| Strand |
Source |
Activities |
| Representations of Functions |
PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.R |
Classroom
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Radicals: Addition
The learner will be able to
add radical terms.
| Strand |
Source |
Activities |
| Radicals |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Radicals: Subtract/Common Radicand
The learner will be able to
subtract radicals with common radicands.
| Strand |
Source |
Activities |
| Radicals |
NORWIN SCHOOL DISTRICT 8-04 |
Classroom
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Calculus and Pre-Calculus
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Matrices: Addition
The learner will be able to
perform addition with matrices.
| Strand |
Source |
Activities |
| Matrices |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.I |
Classroom
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Matrices: Subtracting
The learner will be able to
perform subtraction with matrices.
| Strand |
Source |
Activities |
| Matrices |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.I |
Classroom
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Computer Software: Practice/Master
The learner will be able to
apply suitable software to practice and master appropriate mathematical grade level instructional objectives.
| Strand |
Source |
Activities |
| Computers |
Norwin School District 8-04 |
Classroom
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Computer Software: Practice/Master
The learner will be able to
apply suitable software to practice and master instructional objectives in Conceptual Mathematics.
| Strand |
Source |
Activities |
| Computers |
Norwin School District 8-04 |
Classroom
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Computer Software: Create/Tables/Graphs
The learner will be able to
apply computer graphing software to create tables and bar graphs.
| Strand |
Source |
Activities |
| Computers |
Norwin School District 8-04 |
Classroom
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Mathematical Concepts: Using Technology
The learner will be able to
use technology to explore and interpret mathematical concepts.
| Strand |
Source |
Activities |
| Mathematical Concepts |
Norwin School District 8-04 |
Classroom
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