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Bloomsburg Area School District |
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Math 9-12 10/22/04 |
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Mathematics - Geometry |
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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 |
Scope |
Source |
| Algebraic Concepts |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.13,2.8.11.D |
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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 |
Scope |
Source |
| Computation |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.4,2.2.11.A |
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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 |
Scope |
Source |
| Geometric Concepts |
Master |
PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 32. |
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Lines/Segments/Points/Rays
The learner will be able to
identify, describe, and define lines, rays, points, and segments.
| Strand |
Scope |
Source |
| Lines |
Master |
Bloomsburg Area School District |
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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 |
Scope |
Source |
| Similarity |
Master |
PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 32. |
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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 |
Scope |
Source |
| Problem Solving |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.G |
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Angles
The learner will be able to
identify, describe, and apply knowledge of various angles (including adjacent, vertical, straight, acute, right, obtuse, supplementary, and complementary).
| Strand |
Scope |
Source |
| Angles |
Master |
Bloomsburg Area School District |
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Lines/Angles: Properties
The learner will be able to
understand and/or apply properties of lines and/or angles.
| Strand |
Scope |
Source |
| Lines/Angles/Polygons |
Master |
PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 32. |
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Quadrilaterals: Identify
The learner will be able to
identify quadrilateral shapes.
| Strand |
Scope |
Source |
| Quadrilaterals |
Master |
Bloomsburg Area School District |
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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 |
Scope |
Source |
| Quadrilaterals |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.C |
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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 |
Scope |
Source |
| Polygons |
Master |
PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 32. |
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Polygons: Problem Solving
The learner will be able to
obtain solutions to problems involving inscribed and circumscribed polygons.
| Strand |
Scope |
Source |
| Polygons |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.E |
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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 |
Scope |
Source |
| Congruence/Similarity/Symmetry |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.B |
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Triangles: Identify/Define
The learner will be able to
identify and define various triangles (including right, isosceles, scalene, and equilateral).
| Strand |
Scope |
Source |
| Triangles |
Master |
Bloomsburg Area School District |
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Triangles: Corresponding Parts
The learner will be able to
apply concepts involving the corresponding parts of congruent triangles.
| Strand |
Scope |
Source |
| Triangles |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.D |
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Triangles: Properties
The learner will be able to
analyze the properties of triangles.
| Strand |
Scope |
Source |
| Triangles |
Master |
PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 32. |
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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 |
Scope |
Source |
| Proofs |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.B |
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Logic: Create Argument
The learner will be able to
create valid arguments from given facts.
| Strand |
Scope |
Source |
| Logic |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.7,2.4.11.B |
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Congruency: Applying
The learner will be able to
solve problems by applying concepts of congruency.
| Strand |
Scope |
Source |
| Congruence |
Master |
PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 32. |
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Problem Solving: Geometric Models
The learner will be able to
obtain solutions to problem situations with geometric models.
| Strand |
Scope |
Source |
| Problem Solving |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.17,2.9.11.I |
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Problem Solving: Geometric Models
The learner will be able to
geometrically model situations to formulate problems.
| Strand |
Scope |
Source |
| Problem Solving |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.17,2.9.11.I |
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Circle: Parts
The learner will be able to
identify and define circle parts.
| Strand |
Scope |
Source |
| Circles |
Master |
Bloomsburg Area School District |
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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 |
Scope |
Source |
| Circles |
Master |
PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 32. |
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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 |
Scope |
Source |
| Circles |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.F |
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Logic: Determine Validity
The learner will be able to
figure out the validity of an argument.
| Strand |
Scope |
Source |
| Logic |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.7,2.4.11.C |
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Polygons: Describe/Identify
The learner will be able to
describe and identify geometric polygons.
| Strand |
Scope |
Source |
| Polygons |
Master |
Bloomsburg Area School District |
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Math as Reasoning: Proof
The learner will be able to
apply direct and/or indirect proof, or proof by contradiction to validate conjectures.
| Strand |
Scope |
Source |
| Reasoning |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.7,2.4.11.A |
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Mathematical Concepts: Communication
The learner will be able to
apply symbols, mathematical terminology, standard notation, rules, graphing and other mathematical illustrations to communicate observations, predictions, ideas procedures, generalizations, and results.
| Strand |
Scope |
Source |
| Communication |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.8,2.5.11.B |
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Communication: Clearly
The learner will be able to
communicate mathematical procedures and results clearly, systematically, succinctly and accurately.
| Strand |
Scope |
Source |
| Communication |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.8,2.5.11.C |
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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 |
Scope |
Source |
| Perimeter/Area/Volume |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.C |
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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 |
Scope |
Source |
| Perimeter/Area/Volume |
Master |
PA: System of School Assessment, 1997, Grade 11, p.11,#2 week tested: 32. |
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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 |
Scope |
Source |
| Accuracy |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.4,2.2.11.E |
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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 |
Scope |
Source |
| Accuracy |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.A |
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Measurement: Accuracy
The learner will be able to
measure an object to a given degree of accuracy.
| Strand |
Scope |
Source |
| Measurement: Application |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.D |
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Scale Drawing
The learner will be able to
use proportional relationships to determine actual measurements from a diagram.
| Strand |
Scope |
Source |
| Scale Drawings |
Master |
PA: System of School Assessment, 1997, Grade 11, p.11,#2 week tested: 32. |
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Angle Measure: Degrees
The learner will be able to
measure angles in degrees.
| Strand |
Scope |
Source |
| Angle Measurement |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.B |
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Number Systems: Applying Properties
The learner will be able to
understand and apply number systems and properties to model and solve problems including dealing with special number properties (i.e., 1, and 0).
| Strand |
Scope |
Source |
| Number Systems |
Master |
PA: System of School Assessment, 1997, Grade 11, p.11,#1 week tested: 32. |
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Number Sense: Display/Knowledge
The learner will be able to
display a knowledge of number sense.
| Strand |
Scope |
Source |
| Number Sense |
Master |
PA: System of School Assessment, 1997, Grade 11, p.11,#1 week tested: 32. |
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Ratio/Proportion: Apply/Real World
The learner will be able to
apply ratio and proportion concepts to solve real world scenario problems.
| Strand |
Scope |
Source |
| Ratio/Proportion |
Master |
PA: System of School Assessment, 1997, Grade 11, p.11,#1 week tested: 32. |
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Solutions: Summarize/Evaluate
The learner will be able to
finish a solution procedure with a summary of results and evaluate the degree to which the results are acceptable and validate reasoning.
| Strand |
Scope |
Source |
| Solution |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.8,2.5.11.D |
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Strategies: Choose/Apply
The learner will be able to
choose and apply appropriate mathematical concepts and strategies from various areas of mathematics and use them to solve non-routine and multi-step problems.
| Strand |
Scope |
Source |
| Strategies |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.8,2.5.11.A |
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Solution: Illustrate
The learner will be able to
illustrate mathematical solutions to problems.
| Strand |
Scope |
Source |
| Solution |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.7,2.4.11.E |
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Computers: Show Ability
The learner will be able to
show the ability to use scientific and graphing calculators.
| Strand |
Scope |
Source |
| Computers |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.4,2.2.11.F |
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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 |
Scope |
Source |
| Problem Solving |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.18,2.10.11.B |
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