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Norwin School District |
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Norwin High School Mathematics |
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Mathematics - Grade 10-12 Pre-Calculus |
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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: 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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Coordinate Plane: Distance/Midpoint
The learner will be able to
find the midpoint and the distance between two ordered pairs.
| Strand |
Source |
Activities |
| Coordinate Geometry |
NORWIN SCHOOL DISTRICT |
Classroom
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Slope: Parallel/Perpendicular Lines
The learner will be able to
identify that the slopes of parallel lines are equal and the slopes of perpendicular lines are negative reciprocals.
| Strand |
Source |
Activities |
| Slope |
NORWIN SCHOOL DISTRICT |
Classroom
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Slope: Parallel/Perpendicular Lines
The learner will be able to
describe that the slopes of parallel lines are equal and the slopes of perpendicular lines are negative reciprocals.
| Strand |
Source |
Activities |
| Slope |
NORWIN SCHOOL DISTRICT |
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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Formulas: Apply/Distance/Slope/Midpoint
The learner will be able to
apply formulas to determine distance, midpoint, and slope to solve problems.
| Strand |
Source |
Activities |
| Formulas |
NORWIN SCHOOL DISTRICT |
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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Symmetry: Analyze Figures
The learner will be able to
study figures in terms of the kinds of symmetries they have.
| Strand |
Source |
Activities |
| Symmetry |
PA: Academic Standards, January 16, 1999, Grade 11, p.17,2.9.11.J |
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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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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Circular Functions: Display
The learner will be able to
display periodic and circular functions using graphing calculators.
| Strand |
Source |
Activities |
| Circular Functions |
PA: Academic Standards, January 16, 1999, Grade 11, p.18,2.10.11.A |
Classroom
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Trigonometric Functions: Graph/Analyze
The learner will be able to
analyze the graphs of trigonometric functions.
| Strand |
Source |
Activities |
| Trigonometric Functions |
PA: Academic Standards, January 16, 1999, Grade 11, p.18,2.10.11.A |
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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Exploring: Study/Categorize
The learner will be able to
study and categorize functions according to their attributes.
| Strand |
Source |
Activities |
| Exploring |
PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.T |
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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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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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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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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Functions: Interpret
The learner will be able to
interpret functions.
| Strand |
Source |
Activities |
| Functions |
PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.R |
Classroom
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Functions: Analyze
The learner will be able to
analyze the general properties and behavior of functions.
| Strand |
Source |
Activities |
| Functions |
PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.S |
Classroom
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Functional Relationships: Represent
The learner will be able to
use tables, charts or graphs to represent a functional relationship.
| Strand |
Source |
Activities |
| Functional Relationships |
PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.Q |
Classroom
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Exponential Functions: Graph
The learner will be able to
graph exponential functions.
| Strand |
Source |
Activities |
| Exponential Functions |
NORWIN SCHOOL DISTRICT |
Classroom
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Exponential Functions: Growth/Decay
The learner will be able to
apply exponential functions to problems that involve exponential growth and decay.
| Strand |
Source |
Activities |
| Exponential Functions |
NORWIN SCHOOL DISTRICT |
Classroom
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Exploring: Exponential Functions
The learner will be able to
explore graphs of exponential functions, with and without the use of technology.
| Strand |
Source |
Activities |
| Exploring |
NORWIN SCHOOL DISTRICT |
Classroom
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Logarithmic Functions: Define
The learner will be able to
define a logarithmic function.
| Strand |
Source |
Activities |
| Logarithmic Functions |
NORWIN SCHOOL DISTRICT |
Classroom
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Logarithmic Functions: Solve
The learner will be able to
solve real world problems with exponential and logarithmic functions.
| Strand |
Source |
Activities |
| Logarithmic Functions |
NORWIN SCHOOL DISTRICT |
Classroom
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Logarithmic Functions: Inverse/Graph
The learner will be able to
find the inverse of the graph of a logarithmic function.
| Strand |
Source |
Activities |
| Logarithmic Functions |
NORWIN SCHOOL DISTRICT |
Classroom
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Operations: Apply
The learner will be able to
apply operations such as opposite, reciprocal, absolute value, raising to a power, finding roots, and finding logarithms.
| Strand |
Source |
Activities |
| Operations |
PA: Academic Standards, January 16, 1999, Grade 11, p.2,2.1.11.A |
Classroom
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Algebraic Concepts: Problem Scenarios
The learner will be able to
create expressions, equations, inequalities, systems of equations and inequalities, and matrices to represent routine and non-routine problem scenarios.
| Strand |
Source |
Activities |
| Algebraic Concepts |
PA: Academic Standards, January 16, 1999, Grade 11, p.13,2.8.11.D |
Classroom
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Algebraic Concepts
The learner will be able to
study and describe systems of equations and inequalities and matrices.
| Strand |
Source |
Activities |
| Algebraic Concepts |
PA: Academic Standards, January 16, 1999, Grade 11, p.13,2.8.11.G |
Classroom
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Algebraic Concepts: Relationship
The learner will be able to
show the relationship between algebraic equations and inequalities and the geometry of relations in the coordinate plane.
| Strand |
Source |
Activities |
| Algebraic Concepts |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.J |
Classroom
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Patterns: Analyze
The learner will be able to
study a given set of data for the existence of a pattern and illustrate the pattern algebraically and graphically.
| Strand |
Source |
Activities |
| Equality/Inequality |
PA: Academic Standards, January 16, 1999, Grade 11, p.13,2.8.11.A |
Classroom
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Equality/Inequality: Choose/Apply
The learner will be able to
choose and apply appropriate methods to solve systems of equations and inequalities using graphing calculators, symbol manipulators, spreadsheets, and other software.
| Strand |
Source |
Activities |
| Equality/Inequality |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.H |
Classroom
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Computation: Develop/Apply
The learner will be able to
develop and apply computation ideas, operations and procedures with real numbers in problem solving situations.
| Strand |
Source |
Activities |
| Computation |
PA: Academic Standards, January 16, 1999, Grade 11, p.4,2.2.11.A |
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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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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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: 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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Inequalities: System
The learner will be able to
solve a system of inequalities.
| Strand |
Source |
Activities |
| Inequalities |
PA: System of School Assessment, 1997, Grade 11, p.12,#5 week tested: 27. |
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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Rates: Graph/Growth/Decay
The learner will be able to
graph rates of growth and decay.
| Strand |
Source |
Activities |
| Rates |
PA: Academic Standards, January 16, 1999, Grade 11, p.19,2.11.11.C |
Classroom
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Rates: Interpret/Growth/Decay
The learner will be able to
interpret rates of growth and decay.
| Strand |
Source |
Activities |
| Rates |
PA: Academic Standards, January 16, 1999, Grade 11, p.19,2.11.11.C |
Classroom
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Equality/Inequality/Expression
The learner will be able to
interpret equations, expressions, and inequalities using graphs and tables.
| Strand |
Source |
Activities |
| Equality/Inequality |
PA: System of School Assessment, 1997, Grade 11, p.12,#5 week tested: 27. |
Classroom
|
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Computation: Error/Estimations
The learner will be able to
explain the amount of error that is possible when using estimation in computation.
| Strand |
Source |
Activities |
| Computation |
PA: Academic Standards, January 16, 1999, Grade 11, p.4,2.2.11.D |
Classroom
|
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Nonlinear Equations: Represent/Curves
The learner will be able to
represent curves using equations.
| Strand |
Source |
Activities |
| Nonlinear Equations |
PA: Academic Standards, January 16, 1999, Grade 11, p.13,2.8.11.E |
Classroom
|
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Logarithms: Use/Change of Base Rule
The learner will be able to
use the change of base rule.
| Strand |
Source |
Activities |
| Logarithms |
NORWIN SCHOOL DISTRICT |
Classroom
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Time Concepts
The learner will be able to
identify, understand, and apply basic concepts of, metric units of, relative lengths of, comparisons with, abbreviations of, and symbols for time.
| Strand |
Source |
Activities |
| Time |
PA: System of School Assessment, 1997, Grade 11, p.11,#2 week tested: 27. |
Classroom
|
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Perimeter/Area/Volume: Relating
The learner will be able to
analyze the perimeter, area, and volume of figures to determine not only how they are related, but also how changes in one attribute will affect the other attributes.
| Strand |
Source |
Activities |
| Perimeter/Area/Volume |
PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.C |
Classroom
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Area/Perimeter: Problem Solving
The learner will be able to
develop an understanding of area and perimeter by applying various problem solving techniques.
| Strand |
Source |
Activities |
| Perimeter/Area/Volume |
PA: System of School Assessment, 1997, Grade 11, p.11,#2 week tested: 27. |
Classroom
|
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Accuracy
The learner will be able to
realize the degree of accuracy necessary in calculations is dependent upon how the results are going to be used and the tools used to find the measurements.
| Strand |
Source |
Activities |
| Accuracy |
PA: Academic Standards, January 16, 1999, Grade 11, p.4,2.2.11.E |
Classroom
|
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Accuracy: Choose/Apply Tools
The learner will be able to
choose and use suitable tools and units to measure to the degree of accuracy required in a particular scenario.
| Strand |
Source |
Activities |
| Accuracy |
PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.A |
Classroom
|
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Circumference: Application
The learner will be able to
solve real world application problems involving circumference measurements.
| Strand |
Source |
Activities |
| Circumference |
PA: System of School Assessment, 1997, Grade 11, p.11,#2 week tested: 27. |
Classroom
|
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Surface Area: Application
The learner will be able to
solve real world application problems involving surface area measurements.
| Strand |
Source |
Activities |
| Surface Area |
PA: System of School Assessment, 1997, Grade 11, p.11,#2 week tested: 27. |
Classroom
|
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Volume: Application
The learner will be able to
solve real world application problems involving volume measurements.
| Strand |
Source |
Activities |
| Volume |
PA: System of School Assessment, 1997, Grade 11, p.11,#2 week tested: 27. |
Classroom
|
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Measurement: Accuracy
The learner will be able to
measure an object to a given degree of accuracy.
| Strand |
Source |
Activities |
| Measurement: Application |
PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.D |
Classroom
|
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Scale Drawing
The learner will be able to
use proportional relationships to determine actual measurements from a diagram or map drawn to scale.
| Strand |
Source |
Activities |
| Scale Drawings |
PA: System of School Assessment, 1997, Grade 11, p.11,#2 week tested: 27. |
Classroom
|
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Conversion: Between Systems
The learner will be able to
solve problems which require converting units of measurement between systems.
| Strand |
Source |
Activities |
| Converting |
PA: System of School Assessment, 1997, Grade 11, p.11,#2 week tested: 27. |
Classroom
|
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Angle Measure: Degrees
The learner will be able to
measure angles in degrees.
| Strand |
Source |
Activities |
| Angle Measurement |
PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.B |
Classroom
|
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Angle Measure: Radians
The learner will be able to
measure angles in radians.
| Strand |
Source |
Activities |
| Angle Measurement |
PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.B |
Classroom
|
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Angle Measure: Compare
The learner will be able to
compare angles in degrees and radians.
| Strand |
Source |
Activities |
| Angle Measurement |
PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.B |
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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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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Matrices: Organize Data
The learner will be able to
use matrices to organize real world data.
| Strand |
Source |
Activities |
| Matrices |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.I |
Classroom
|
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Matrices: Manipulate Data
The learner will be able to
manipulate data using 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: Systems of Equations
The learner will be able to
solve problems involving systems of equations using the properties of matrices.
| Strand |
Source |
Activities |
| Matrices |
PA: System of School Assessment, 1997, Grade 11, p.12,#5 week tested: 27. |
Classroom
|
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Angles: Determine/Coterminal
The learner will be able to
determine the coterminal angle.
| Strand |
Source |
Activities |
| Radians/Angles |
NORWIN SCHOOL DISTRICT |
Classroom
|
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Circle Parts: Arc Length
The learner will be able to
determine the arc length of a circle.
| Strand |
Source |
Activities |
| Circles |
NORWIN SCHOOL DISTRICT |
Classroom
|
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Triangles: Real World/30-60-90/45-45-90
The learner will be able to
find the solutions to real world problems involving 30-60-90 and 45-45-90 triangles with no irrational denominators.
| Strand |
Source |
Activities |
| Triangles |
NORWIN SCHOOL DISTRICT |
Classroom
|
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Right Triangles: Apply/30-60-90 Triangle
The learner will be able to
apply an understanding of the 30-60-90 Triangle Theorem to calculate the values of sine, cosine, and tangent of 30 and 60 degree angles.
| Strand |
Source |
Activities |
| Right Triangles |
NORWIN SCHOOL DISTRICT |
Classroom
|
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Trigonometric Functions: Unit Circle
The learner will be able to
develop recall of the values of the six trigonometric functions of special angles based on the unit circle.
| Strand |
Source |
Activities |
| Trigonometric Functions |
NORWIN SCHOOL DISTRICT |
Classroom
|
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Trigonometric Functions
The learner will be able to
comprehend trigonometric functions as rotations of the plane.
| Strand |
Source |
Activities |
| Trigonometric Functions |
NORWIN SCHOOL DISTRICT |
Classroom
|
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Trigonometric Functions: Define
The learner will be able to
define the six trigonometric functions.
| Strand |
Source |
Activities |
| Trigonometric Functions |
NORWIN SCHOOL DISTRICT |
Classroom
|
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Trigonometric Functions: Graph
The learner will be able to
make graphs of the sine, cosine, and tangent functions.
| Strand |
Source |
Activities |
| Trigonometric Functions |
NORWIN SCHOOL DISTRICT |
Classroom
|
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Trigonometric Functions: Graph
The learner will be able to
use a calculator to graph trigonometric functions.
| Strand |
Source |
Activities |
| Trigonometric Functions |
NORWIN SCHOOL DISTRICT |
Classroom
|
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Trigonometric Functions: Graph/Inverse
The learner will be able to
graph the inverse of a trigonometric function using a scientific calculator.
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