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Norwin School District |
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Norwin High School Mathematics |
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Mathematics - Grade 10-12 Trigonometry and Statistics |
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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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; Norwin School District 6-04 |
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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Instructional Resources |
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| · |
Algebra I An Integrated Approach, McDougall Littell, First Edition 1998, Pages 28 - 32 [Textbook]. Enter Note in this space |
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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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Instructional Resources |
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| · |
Algebra I An Integrated Approach, McDougall Littell, First Edition 1998, Page 11 [Textbook]. |
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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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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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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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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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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: Degree/Radian
The learner will be able to
comprehend the relationship between measure in radians and degrees.
| Strand |
Source |
Activities |
| Radians/Angles |
NORWIN SCHOOL DISTRICT |
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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Radian: Linear/Angular Velocity
The learner will be able to
use radian measures in problems associated with linear and angular velocity.
| Strand |
Source |
Activities |
| Radians/Angles |
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
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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Right Triangles: Trigonometric Functions
The learner will be able to
use right triangles to define trigonometric functions.
| Strand |
Source |
Activities |
| Right Triangles |
NORWIN SCHOOL DISTRICT |
Classroom
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Circles: Properties/Problem Solving
The learner will be able to
identify and apply circle properties in order to solve problems.
| Strand |
Source |
Activities |
| Circles |
PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 27. |
Classroom
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Geometric Concepts
The learner will be able to
understand and/or apply the concepts of solid, coordinate, and/or transformational geometry.
| Strand |
Source |
Activities |
| Geometric Concepts |
PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 27. |
Classroom
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Logic: Truth Tables
The learner will be able to
apply truth tables to determine the logic of mathematical statements.
| Strand |
Source |
Activities |
| Logic |
PA: Academic Standards, January 16, 1999, Grade 11, p.7,2.4.11.D |
Classroom
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Similarity: Similar Figures/Apply
The learner will be able to
understand and apply the concepts related to similar figures and properties of similar figures.
| Strand |
Source |
Activities |
| Similarity |
PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 27. |
Classroom
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Problem Solving: Analytic Geometry
The learner will be able to
solve both real world and mathematical problems using concepts of analytic geometry.
| Strand |
Source |
Activities |
| Problem Solving |
PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.G |
Classroom
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Lines/Angles: Properties
The learner will be able to
understand and/or apply properties of lines and/or angles.
| Strand |
Source |
Activities |
| Lines/Angles/Polygons |
PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 27. |
Classroom
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Quadrilaterals: Determine/Prove
The learner will be able to
determine and prove the properties of quadrilaterals involving opposite sides and angles, consecutive sides and angles, and diagonals using deductive proofs.
| Strand |
Source |
Activities |
| Quadrilaterals |
PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.C |
Classroom
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Polygons: Non-Triangular
The learner will be able to
know and/or apply properties of polygons that are not triangular.
| Strand |
Source |
Activities |
| Polygons |
PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 27. |
Classroom
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Congruency/Similarity: Triangles
The learner will be able to
apply algebraic and coordinate as well as deductive proofs to prove two triangles are congruent or similar given information in the form of a figure or statement.
| Strand |
Source |
Activities |
| Congruence/Similarity/Symmetry |
PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.B |
Classroom
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Triangles: Corresponding Parts
The learner will be able to
apply concepts involving the corresponding parts of congruent triangles.
| Strand |
Source |
Activities |
| Triangles |
PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.D |
Classroom
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Triangles: Properties
The learner will be able to
analyze the properties of triangles.
| Strand |
Source |
Activities |
| Triangles |
PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 27. |
Classroom
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Circles: Problem Solving
The learner will be able to
obtain solutions to problems involving circles using the properties of angles, arcs, chords, tangents, and secants.
| Strand |
Source |
Activities |
| Circles |
PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.F |
Classroom
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Proof: Congruency/Similarity/Polygons
The learner will be able to
apply algebraic and coordinate as well as deductive proofs to prove two polygons are congruent or similar.
| Strand |
Source |
Activities |
| Proofs |
PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.B |
Classroom
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Logic: Create Argument
The learner will be able to
create valid arguments from given facts.
| Strand |
Source |
Activities |
| Logic |
PA: Academic Standards, January 16, 1999, Grade 11, p.7,2.4.11.B |
Classroom
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Logic: Determine Validity
The learner will be able to
figure out the validity of an argument.
| Strand |
Source |
Activities |
| Logic |
PA: Academic Standards, January 16, 1999, Grade 11, p.7,2.4.11.C |
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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Constructions: Figures
The learner will be able to
use different transformations to construct a geometric figure and its image.
| Strand |
Source |
Activities |
| Constructions |
PA: Academic Standards, January 16, 1999, Grade 11, p.17,2.9.11.H |
Classroom
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Constructions: Dynamic Tools
The learner will be able to
use dynamic geometry tools to construct geometric figures.
| Strand |
Source |
Activities |
| Constructions |
PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.A |
Classroom
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Congruency: Applying
The learner will be able to
solve problems by applying concepts of congruency.
| Strand |
Source |
Activities |
| Congruence |
PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 27. |
Classroom
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Problem Solving: Geometric Models
The learner will be able to
obtain solutions to problem situations with geometric models.
| Strand |
Source |
Activities |
| Problem Solving |
PA: Academic Standards, January 16, 1999, Grade 11, p.17,2.9.11.I |
Classroom
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Problem Solving: Geometric Models
The learner will be able to
geometrically model situations to formulate problems.
| Strand |
Source |
Activities |
| Problem Solving |
PA: Academic Standards, January 16, 1999, Grade 11, p.17,2.9.11.I |
Classroom
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Polygons: Problem Solving
The learner will be able to
obtain solutions to problems involving inscribed and circumscribed polygons.
| Strand |
Source |
Activities |
| Polygons |
PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.E |
Classroom
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Angles: Apply/Reference/Measures
The learner will be able to
apply 45-, 90-, and 180-degree angles as points of reference for measures of other angles.
| Strand |
Source |
Activities |
| Angles |
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/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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Functions: Periodicity/Amplitude
The learner will be able to
solve for the periodicity and amplitude of a function.
| Strand |
Source |
Activities |
| Functions |
NORWIN SCHOOL DISTRICT |
Classroom
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Trig. Equations: Phase Shift
The learner will be able to
identify the phase shift of a given trigonometric equation.
| Strand |
Source |
Activities |
| Trigonometric Equations |
NORWIN SCHOOL DISTRICT |
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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Real Numbers and the Coordinate Plane
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Slope: Compare/Angle of Elevation
The learner will be able to
make comparisons of slope and angle of elevation as steepness measures.
| Strand |
Source |
Activities |
| Slope |
NORWIN SCHOOL DISTRICT |
Classroom
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Trigonometric Identities: Apply/Basic
The learner will be able to
apply basic trigonometric identities.
| Strand |
Source |
Activities |
| Trigonometric Identities |
NORWIN SCHOOL DISTRICT |
Classroom
|
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Trigonometric Identities: Explain
The learner will be able to
explain the identity sin^2(x)+cos^2(x)=1.
| Strand |
Source |
Activities |
| Trigonometric Identities |
NORWIN SCHOOL DISTRICT |
Classroom
|
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Trigonometric Identities: Proving
The learner will be able to
prove that the identity cos(x) squared + sine(x) squared = 1 is equivalent to the Pythagorean Theorem.
| Strand |
Source |
Activities |
| Trigonometric Identities |
NORWIN SCHOOL DISTRICT |
Classroom
|
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Triangles: Oblique/Problem Solving
The learner will be able to
solve real world oblique triangle problems using trigonometric concepts.
| Strand |
Source |
Activities |
| Triangles |
NORWIN SCHOOL DISTRICT |
Classroom
|
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Triangles: Solving Oblique
The learner will be able to
use trigonometric ratios to solve oblique triangles.
| Strand |
Source |
Activities |
| Triangles |
NORWIN SCHOOL DISTRICT |
Classroom
|
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Trig Concepts: Law of Sines and Cosines
The learner will be able to
apply the Law of Sines and the Law of Cosines to solve oblique triangles.
| Strand |
Source |
Activities |
| Trigonometric Concepts |
NORWIN SCHOOL DISTRICT |
Classroom
|
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Area of a Triangle: Oblique
The learner will be able to
compute the area of an oblique triangle.
| Strand |
Source |
Activities |
| Area of a Triangle |
NORWIN SCHOOL DISTRICT |
Classroom
|
|
HERON'S FORMULA
The learner will be able to
to use Her | |
