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Sierra Sands Unified School District |
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Curriculum Guides 2003-2004 |
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Mathematics - Geometry Semester 1 |
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Figures: Classify/Solve Problems
The learner will be able to
determine and apply measurements of the sides and interior and exterior angles of triangles to classify figures and obtain problem solutions.
| Strand |
Source |
Activities |
| Figures: Classify |
CA: Content Standards, 1998, Geometry, 12.0 |
Classroom
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Figures: Classify/Solve Problems
The learner will be able to
determine and apply measurements of the sides and angles of polygons to classify figures and obtain problem solutions.
| Strand |
Source |
Activities |
| Figures: Classify |
CA: Content Standards, 1998, Geometry, 12.0 |
Classroom
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Geometric Concepts: Understanding
The learner will be able to
display an understanding of geometry by recognizing and citing examples of undefined terms, axioms, and theorems.
| Strand |
Source |
Activities |
| Geometric Concepts |
CA: Content Standards, 1998, Geometry, 1.0 |
Classroom
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Quadrilaterals: Proving
The learner will be able to
apply and/or prove theorems involving the properties of quadrilaterals.
| Strand |
Source |
Activities |
| Quadrilaterals |
CA: Content Standards, 1998, Geometry, 7.0 |
Classroom
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Congruent/Similar: Triangles
The learner will be able to
prove triangles congruent and similar.
| Strand |
Source |
Activities |
| Congruence/Similarity/Symmetry |
CA: Content Standards, 1998, Geometry, 5.0 |
Classroom
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Triangles: Understand/Inequality Theorem
The learner will be able to
understand the triangle inequality theorem.
| Strand |
Source |
Activities |
| Triangles |
CA: Content Standards, 1998, Geometry, 6.0 |
Classroom
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Triangles: Apply/Inequality Theorem
The learner will be able to
apply the triangle inequality theorem.
| Strand |
Source |
Activities |
| Triangles |
CA: Content Standards, 1998, Geometry, 6.0 |
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 |
CA: Content Standards, 1998, Geometry, 5.0 |
Classroom
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Proofs: Write/Geometric
The learner will be able to
write proofs related to geometry.
| Strand |
Source |
Activities |
| Proofs |
CA: Content Standards, 1998, Geometry, 2.0 |
Classroom
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Proofs: Construct/Coordinate Geometry
The learner will be able to
construct proofs of theorems using coordinate geometry.
| Strand |
Source |
Activities |
| Proofs |
CA: Content Standards, 1998, Geometry, 17.0 |
Classroom
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Proofs: Contradiction
The learner will be able to
create proofs by contradiction.
| Strand |
Source |
Activities |
| Proofs |
CA: Content Standards, 1998, Geometry, 2.0 |
Classroom
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Similarity: Prove Theorems
The learner will be able to
prove elementary theorems involving similarity.
| Strand |
Source |
Activities |
| Similarity |
CA: Content Standards, 1998, Geometry, 4.0 |
Classroom
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Constructions: Straightedge/Compass
The learner will be able to
apply a straightedge and compass to perform simple constructions.
| Strand |
Source |
Activities |
| Constructions |
CA: Content Standards, 1998, Geometry, 16.0 |
Classroom
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Congruence: Prove Theorems
The learner will be able to
prove elementary theorems involving congruence.
| Strand |
Source |
Activities |
| Congruence |
CA: Content Standards, 1998, Geometry, 4.0 |
Classroom
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Theorems: Apply/Prove
The learner will be able to
apply and/or prove theorems that use the properties of parallel lines which are crossed by a transversal.
| Strand |
Source |
Activities |
| Geometric Proofs/Theorems |
CA: Content Standards, 1998, Geometry, 7.0 |
Classroom
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Polygons: Prove Relationships
The learner will be able to
prove assertions concerning the relationships among angles in polygons through the application of properties of complementary, supplementary, vertical, and exterior angles.
| Strand |
Source |
Activities |
| Polygons |
CA: Content Standards, 1998, Geometry, 13.0 |
Classroom
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Argument: Formulate/Judge Validity
The learner will be able to
formulate logical arguments, assess their validity, and give counterexamples that disprove statements.
| Strand |
Source |
Activities |
| Conjecture/Argument |
CA: Content Standards, 1998, Geometry, 3.0 |
Classroom
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Reasoning: Identify Examples
The learner will be able to
recognize examples of inductive and deductive reasoning.
| Strand |
Source |
Activities |
| Reasoning |
CA: Content Standards, 1998, Geometry, 1.0 |
Classroom
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Reasoning: Provide Examples
The learner will be able to
offer examples of deductive and inductive reasoning.
| Strand |
Source |
Activities |
| Reasoning |
CA: Content Standards, 1998, Geometry, 1.0 |
Classroom
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Area of a Rectangle: Calculate
The learner will be able to
calculate the area of a rectangle.
| Strand |
Source |
Activities |
| Area of a Rectangle |
CA: Content Standards, 1998, Geometry, 10.0 |
Classroom
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Measurement Concepts: Solve Problems
The learner will be able to
obtain solutions to problems involving the perimeter, circumference, area, volume, lateral area, and surface area of common geometric shapes.
| Strand |
Source |
Activities |
| Measurement Concepts |
CA: Content Standards, 1998, Geometry, 8.0 |
Classroom
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Real Numbers and the Coordinate Plane
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Coordinate Geometry: Midpoint
The learner will be able to
prove the midpoint theorem through the use of coordinate geometry.
| Strand |
Source |
Activities |
| Coordinate Geometry |
CA: Content Standards, 1998, Geometry, 17.0 |
Classroom
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Coordinate Geometry: Proofs
The learner will be able to
create proofs based on coordinate geometry for various forms of equations of lines and circles.
| Strand |
Source |
Activities |
| Coordinate Geometry |
CA: Content Standards, 1998, Geometry, 17.0 |
Classroom
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Distance Formula: Proof
The learner will be able to
use coordinate geometry to prove the distance formula.
| Strand |
Source |
Activities |
| Distance Formula |
CA: Content Standards, 1998, Geometry, 17.0 |
Classroom
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