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Norwin School District |
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Norwin High School Mathematics |
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Mathematics - Grade 9-12 Algebra II |
Linear Equations: Solve
The learner will be able to
obtain solutions to linear equations using the addition, subtraction, multiplication, and division properties of equality with integer solutions.
| Strand |
Source |
Activities |
| Linear Equations |
Norwin School District 8-04 |
Classroom
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Algebraic Concepts: Slope
The learner will be able to
find and/or calculate slopes.
| Strand |
Source |
Activities |
| Algebraic Concepts |
Norwin School District 8-04 |
Classroom
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Parallel/Perpendicular: Slopes
The learner will be able to
identify and/or apply the relationships that exist for the slopes of parallel and perpendicular lines.
| Strand |
Source |
Activities |
| Lines: Parallel/Perpendicular |
Norwin School District 8-04 |
Classroom
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Real Numbers and the Coordinate Plane
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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: Graph
The learner will be able to
graph linear equations with two variables given suitable information.
| Strand |
Source |
Activities |
| Linear Equations |
Norwin School District 8-04 |
Classroom
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Real Numbers and the Coordinate Plane
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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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Linear Equations: Graph/Intercepts
The learner will be able to
graph the linear relationship determined by x- and y-intercepts.
| Strand |
Source |
Activities |
| Linear Equations |
Norwin School District 8-04 |
Classroom
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Equations: Write/Two Variables
The learner will be able to
determine and write equations from word problems which have two variables.
| Strand |
Source |
Activities |
| Equations |
Norwin School District 8-04 |
Classroom
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Real Numbers and the Coordinate Plane
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Linear Inequalities: Graph/Solve
The learner will be able to
graphically represent linear inequalities with two variables and/or obtain solutions to problems involving such inequalities.
| Strand |
Source |
Activities |
| Linear Inequalities |
Norwin School District 8-04 |
Classroom
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Linear Inequalities: Choose Graph
The learner will be able to
choose the appropriate graphical illustration of a given linear inequality.
| Strand |
Source |
Activities |
| Linear Inequalities |
Norwin School District 8-04 |
Classroom
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Linear Inequalities: Write/Solve
The learner will be able to
write and solve a linear inequality when given a linear inequality as a written description, or an algebraic expression, or a graph.
| Strand |
Source |
Activities |
| Linear Inequalities |
Norwin School District 8-04 |
Classroom
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Absolute Value
The learner will be able to
obtain absolute value equation and inequality solutions using graphic and algebraic means, and technology as needed.
| Strand |
Source |
Activities |
| Absolute Value |
Norwin School District 8-04 |
Classroom
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Absolute Value: Match/Graph
The learner will be able to
match a set of absolute value data to its graph on the coordinate plane.
| Strand |
Source |
Activities |
| Absolute Value |
Norwin School District 8-04 |
Classroom
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Real Numbers and the Coordinate Plane
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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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Systems of Equations: Solve
The learner will be able to
solve a system of equations (with 2 variables and 2 equations).
| Strand |
Source |
Activities |
| Systems of Equations |
Norwin School District 8-04 |
Classroom
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Inequalities: Systems/Graph
The learner will be able to
represent systems of inequalities on a coordinate graph.
| Strand |
Source |
Activities |
| Inequalities |
Norwin School District 8-04 |
Classroom
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Quadratic Equations
The learner will be able to
use a variety of methods to solve quadratic equations, making explanations of the methods that were employed.
| Strand |
Source |
Activities |
| Quadratic Equations/Formula |
Norwin School District 8-04 |
Classroom
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Quadratic Equations: Solve/Graph
The learner will be able to
solve and graph quadratic equations by factoring, completing the square, or applying the quadratic formula and employ these methods to solve word problems.
| Strand |
Source |
Activities |
| Quadratic Equations/Formula |
Norwin School District 8-04 |
Classroom
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Quadratic Inequalities: Graph
The learner will be able to
graph the solution set of quadratic inequalities.
| Strand |
Source |
Activities |
| Quadratic Equations/Formula |
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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Relations: Domain/Range
The learner will be able to
find the domain and range for given relation presented as a set of ordered pairs.
| Strand |
Source |
Activities |
| Relations |
PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.O |
Classroom
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Relations: Domain/Range on Graph
The learner will be able to
identify the domain and range for a relation shown on a graph.
| Strand |
Source |
Activities |
| Relations |
PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.O |
Classroom
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Graphing: Transformations
The learner will be able to
apply transformation concepts when sketching the graphs of functions.
| Strand |
Source |
Activities |
| Graphing Functions |
Norwin School District 8-04 |
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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Functions: Maximum/Minimum
The learner will be able to
identify the maximum and minimum values of a function over a specified interval.
| Strand |
Source |
Activities |
| Functions |
PA: Academic Standards, January 16, 1999, Grade 11, p.19,2.11.11.A |
Classroom
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Exponential Functions: Growth/Decay
The learner will be able to
identify the significance of exponential growth and decay to real life scenarios.
| Strand |
Source |
Activities |
| Exponential Functions |
Norwin School District 8-04 |
Classroom
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Exponential Functions: Growth/Decay
The learner will be able to
identify patterns of exponential growth and decay.
| Strand |
Source |
Activities |
| Exponential Functions |
Norwin School District 8-04 |
Classroom
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Exponents: Evaluate
The learner will be able to
find the value of powers through the correct use of exponents and/or bases.
| Strand |
Source |
Activities |
| Exponents |
Norwin School District 8-04 |
Classroom
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Exponents: Additive/Multiplicative Laws
The learner will be able to
apply the additive and multiplicative laws of exponents.
| Strand |
Source |
Activities |
| Exponents |
Norwin School District 8-04 |
Classroom
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Exponents: Rules
The learner will be able to
apply rules of exponents.
| Strand |
Source |
Activities |
| Exponents |
Norwin School District 8-04 |
Classroom
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Radical Equations: Solve
The learner will be able to
obtain solutions to radical equations using appropriate strategies.
| Strand |
Source |
Activities |
| Radicals |
Norwin School District 8-04 |
Classroom
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Polynomials: Apply/Basic/Operations
The learner will be able to
apply the four basic operations with polynomial expressions in one variable (not simplified with a maximum of eight terms) in the context of mathematical and real world problems.
| Strand |
Source |
Activities |
| Polynomials |
Norwin School District 8-04 |
Classroom
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Factoring: Polynomials
The learner will be able to
factor polynomials.
| Strand |
Source |
Activities |
| Factoring |
Norwin School District 8-04 |
Classroom
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Polynomials: Solving Equations
The learner will be able to
obtain solutions to higher order polynomial equations using all available methods.
| Strand |
Source |
Activities |
| Polynomials |
Norwin School District 8-04 |
Classroom
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Polynomials: Synthetic Division
The learner will be able to
divide a polynomial expression by a linear binomial expression using the process of synthetic division.
| Strand |
Source |
Activities |
| Polynomials |
Norwin School District 8-04 |
Classroom
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Predicting: Linear Regression/Modeling
The learner will be able to
use real world data and applicable graphing technology to understand the use of linear regression with mathematical models.
| Strand |
Source |
Activities |
| Predictions |
Norwin School District 8-04 |
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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Probability Distribution: Normal Curve
The learner will be able to
explain (in non-specific terms) the normal curve and use its attributes in answering questions about data that is assumed to be normally distributed.
| Strand |
Source |
Activities |
| Probability Distribution |
PA: Academic Standards, January 16, 1999, Grade 11, p.10,2.6.11.I |
Classroom
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Combinations/Permutations: Difference
The learner will be able to
recognize and/or discern the differences between combinations and permutations, and/or find n things taken r at a time for each.
| Strand |
Source |
Activities |
| Combinations |
Norwin School District 8-04 |
Classroom
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Venn Diagrams: Identify/Discuss
The learner will be able to
recognize and discuss overlapping subsets of objects such as Venn diagrams.
| Strand |
Source |
Activities |
| Venn Diagram |
Norwin School District 8-04 |
Classroom
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Venn Diagrams: Interpret/Create
The learner will be able to
interpret and construct Venn diagrams to sort and explain data.
| Strand |
Source |
Activities |
| Venn Diagram |
Norwin School District 8-04 |
Classroom
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Series: Arithmetic/Geometric
The learner will be able to
find the value of arithmetic and geometric series and use them in real world scenarios.
| Strand |
Source |
Activities |
| Series |
Norwin School District 8-04 |
Classroom
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Series: Apply/Infinite
The learner will be able to
apply infinite geometric series.
| Strand |
Source |
Activities |
| Series |
Norwin School District 8-04 |
Classroom
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Rational Functions: Graph
The learner will be able to
make graphs of rational functions by applying intercepts, symmetry, and/or asymptotes of all kinds.
| Strand |
Source |
Activities |
| Rational Functions |
Norwin School District 8-04 |
Classroom
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Rational Functions: Operations
The learner will be able to
perform the four basic operations with rational functions.
| Strand |
Source |
Activities |
| Rational Functions |
Norwin School District 8-04 |
Classroom
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Rational Functions: Determine/Roots
The learner will be able to
determine the roots of a rational function.
| Strand |
Source |
Activities |
| Rational Functions |
Norwin School District 8-04 |
Classroom
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Rational Functions: Complex Fractions
The learner will be able to
simplify complex fractions within rational functions.
| Strand |
Source |
Activities |
| Rational Functions |
Norwin School District 8-04 |
Classroom
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Problem Solving: Right Triangles
The learner will be able to
recognize, create, and solve practical right triangle problems by applying trigonometric functions and the Pythagorean Theorem.
| Strand |
Source |
Activities |
| Problem Solving |
PA: Academic Standards, January 16, 1999, Grade 11, p.18,2.10.11.B |
Classroom
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Trig Functions: Calculate Values
The learner will be able to
calculate the values of trig functions and their inverses at various standard points, working without technology.
| Strand |
Source |
Activities |
| Trigonometric Functions |
Norwin School District 8-04 |
Classroom
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Calculus and Pre-Calculus
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Complex Numbers: Recognize
The learner will be able to
recognize complex numbers.
| Strand |
Source |
Activities |
| Complex Numbers |
Norwin School District 8-04 |
Classroom
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Complex Numbers: Powers of i
The learner will be able to
apply the repeating patterns that occur for various powers of i to simplify results.
| Strand |
Source |
Activities |
| Complex Numbers |
Norwin School District 8-04 |
Classroom
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Complex Numbers: Operations
The learner will be able to
perform the four basic operations with complex numbers with answers given in simplest form.
| Strand |
Source |
Activities |
| Complex Numbers |
Norwin School District 8-04 |
Classroom
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Complex Numbers: Conjugate Methods
The learner will be able to
describe and use complex conjugate methods in order to simplify problems.
| Strand |
Source |
Activities |
| Complex Numbers |
Norwin School District 8-04 |
Classroom
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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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Matrices: Multiplication
The learner will be able to
perform multiplication 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: Scalar Multiplication
The learner will be able to
perform scalar multiplication 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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