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Sierra Sands Unified School District |
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Curriculum Guides 2003-2004 |
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Mathematics - Geometry Semester 2 |
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Problems: Know/Derive
The learner will be able to
derive and have comprehension of problems involving the perimeter, circumference, area, volume, lateral area, and surface area of common geometric shapes.
| Strand |
Source |
Activities |
| Problem Solving |
CA: Content Standards, 1998, Geometry, 8.0 |
Classroom
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Perimeter: Linear Relations
The learner will be able to
understand and explain the impact of change of an object's linear dimensions on its perimeter.
| Strand |
Source |
Activities |
| Perimeter |
CA: Content Standards, 1998, Geometry, 11.0 |
Classroom
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Volume: Calculate/Surface Area
The learner will be able to
calculate the volume and surface area of prisms, pyramids, cylinders, cones, and spheres.
| Strand |
Source |
Activities |
| Volume |
CA: Content Standards, 1998, Geometry, 9.0 |
Classroom
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Formulas: Memorize/Volume/Surface Area
The learner will be able to
memorize the formulas for the volume and surface area of a prism, pyramid, and cylinder.
| Strand |
Source |
Activities |
| Formulas |
CA: Content Standards, 1998, Geometry, 9.0 |
Classroom
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Area: Calculate/Rhombus
The learner will be able to
calculate the area of a rhombus.
| Strand |
Source |
Activities |
| Area |
CA: Content Standards, 1998, Geometry, 10.0 |
Classroom
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Area of a Parallelogram
The learner will be able to
calculate the area of a parallelogram.
| Strand |
Source |
Activities |
| Area |
CA: Content Standards, 1998, Geometry, 10.0 |
Classroom
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Area of a Polygon: Compute
The learner will be able to
compute the area of a polygon.
| Strand |
Source |
Activities |
| Area |
CA: Content Standards, 1998, Geometry, 10.0 |
Classroom
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Area of a Trapezoid: Calculate
The learner will be able to
calculate the area of a trapezoid.
| Strand |
Source |
Activities |
| Area |
CA: Content Standards, 1998, Geometry, 10.0 |
Classroom
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Area of a Triangle: Calculate/Scalene
The learner will be able to
calculate the area of a scalene triangle.
| Strand |
Source |
Activities |
| Area of a Triangle |
CA: Content Standards, 1998, Geometry, 10.0 |
Classroom
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Area of a Triangle: Compute/Equilateral
The learner will be able to
compute the area of an equilateral triangle.
| Strand |
Source |
Activities |
| Area of a Triangle |
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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Area: Linear Relations
The learner will be able to
understand and explain the impact of change of an object's linear dimensions on the measurement of the area.
| Strand |
Source |
Activities |
| Area |
CA: Content Standards, 1998, Geometry, 11.0 |
Classroom
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Volume: Linear Relations
The learner will be able to
understand and explain the impact of the change of an object's linear dimensions on its volume.
| Strand |
Source |
Activities |
| Volume |
CA: Content Standards, 1998, Geometry, 11.0 |
Classroom
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Pythagorean Theorem
The learner will be able to
use the Pythagorean Theorem to determine an unknown side length of a right triangle.
| Strand |
Source |
Activities |
| Pythagorean Theorem |
CA: Content Standards, 1998, Geometry, 15.0 |
Classroom
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Pythagorean Theorem: Find Lengths
The learner will be able to
apply the Pythagorean Theorem to find the lengths of line segments.
| Strand |
Source |
Activities |
| Pythagorean Theorem |
CA: Content Standards, 1998, Geometry, 15.0 |
Classroom
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Pythagorean Theorem: Prove
The learner will be able to
create a proof for the Pythagorean Theorem.
| Strand |
Source |
Activities |
| Pythagorean Theorem |
CA: Content Standards, 1998, Geometry, 14.0 |
Classroom
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Circles: Prove/Solve Problems
The learner will be able to
prove and obtain problem solutions involving the relationships among chords, secants, tangents, inscribed angles, and inscribed and circumscribed polygons of circles.
| Strand |
Source |
Activities |
| Circles |
CA: Content Standards, 1998, Geometry, 21.0 |
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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Proving: Circles
The learner will be able to
prove and/or apply theorems involving the properties of circles.
| Strand |
Source |
Activities |
| Proofs |
CA: Content Standards, 1998, Geometry, 7.0 |
Classroom
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Triangles: Understand/Relationships
The learner will be able to
understand the angle and side relationships in special right triangles (30-60-90 & 45-45-90).
| Strand |
Source |
Activities |
| Right Triangles |
CA: Content Standards, 1998, Geometry, 20.0 |
Classroom
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Right Triangles: Apply Relationships
The learner will be able to
apply a knowledge of side and angle relationships in special right triangles (30-60-90 & 45-45-90).
| Strand |
Source |
Activities |
| Right Triangles |
CA: Content Standards, 1998, Geometry, 20.0 |
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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Trigonometric Functions: Relationships
The learner will be able to
apply and understand the basic relationships between the trigonometric functions.
| Strand |
Source |
Activities |
| Trigonometric Functions |
CA: Content Standards, 1998, Geometry, 18.0 |
Classroom
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Trigonometric Functions: Define
The learner will be able to
define the trigonometric functions with regard to the angles of right triangles.
| Strand |
Source |
Activities |
| Trigonometric Functions |
CA: Content Standards, 1998, Geometry, 18.0 |
Classroom
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Trigonometric Functions: Solve/Problems
The learner will be able to
solve for the missing length of the side of a right triangle using trigonometric functions when presented with an angle and the length of one side of the right triangle.
| Strand |
Source |
Activities |
| Trigonometric Functions |
CA: Content Standards, 1998, Geometry, 19.0 |
Classroom
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