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mvsd |
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Math Curriculum 01/12/03 |
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Mathematics - Geometry |
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Connecting: Algebra/Geometry
The learner will be able to
apply algebraic skills and ideas to obtain solutions to geometry problems through geometry.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Connecting |
|
Master |
|
District Expectation |
Classroom
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Angles: Recognize
The learner will be able to
identify angle pairs that are created when two lines are crossed by a transversal.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Angles |
|
Master |
|
ID: State Achievement Standards, 2001, Grades 9-12, 351.01 |
Classroom
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Lines/Angles: Identify/Use/Properties
The learner will be able to
identify and use inequality properties with the measurements of segments in triangles and angles in triangles.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Lines/Angles/Polygons |
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Master |
|
ID: State Achievement Standards, 2001, Grades 9-12, 351.01 |
Classroom
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Circles: Identify/Define
The learner will be able to
recognize and solve problems with circles and their component parts, the lines associated with circles, circle properties, their relationship to polygons, and/or associated angle concepts.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Circles |
|
Master |
|
ID: State Achievement Standards, 2001, Grades 9-12, 351.01; ISAT |
Classroom
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Planes/Points/Lines: Apply/Facts
The learner will be able to
apply elementary facts about points, lines (perpendicular and parallel) and planes (perpendicular and parallel).
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Planes/Points/Lines |
|
Master |
|
ID: State Achievement Standards, 2001, Grades 9-12, 351.01; ISAT |
Classroom
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Planes/Points/Lines: Recognize/Define
The learner will be able to
recognize, define, or explain and contrast the properties associated with points, lines, planes, segments, rays, and angles.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Planes/Points/Lines |
|
Master |
|
ID: State Achievement Standards, 2001, Grades 9-12, 351.01; ISAT |
Classroom
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Properties: Quadrilaterals
The learner will be able to
apply properties of quadrilaterals to form and/or test relationships with diagonals, angles, and/or lines of symmetry.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Properties of Figures |
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Master |
|
ID: State Achievement Standards, 2001, Grades 9-12, 351.01; ISAT |
Classroom
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Properties: State/Apply
The learner will be able to
state and/or use properties of triangles and/or quadrilaterals of various types.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Properties of Figures |
|
Master |
|
ID: State Achievement Standards, 2001, Grades 9-12, 351.01; ISAT |
Classroom
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Right Triangles: Identify
The learner will be able to
identify right triangles through the use of elementary congruence postulates and/or theorems.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Right Triangles |
|
Master |
|
ID: State Achievement Standards, 2001, Grades 9-12, 351.02 and 348.02; ISAT |
Classroom
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Solids: Polyhedrons/Spheres/Parts
The learner will be able to
recognize polyhedrons including prisms, pyramids, cubes, tetrahedrons, cylinders, cones, spheres, faces, edges, vertices, bases, and/or lateral edges.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Three-Dimensional Solids |
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Master |
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ID: State Achievement Standards, 2001, Grades 9-12, 351.01; ISAT |
Classroom
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Circle Parts: Arc Length
The learner will be able to
determine the arc length of a circle.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Circles |
|
Master |
1.0 |
ID: State Achievement Standards, 2001, Grades 9-12, 351.01 |
Classroom
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Planes: Recognize
The learner will be able to
identify parallel planes.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Planes/Points/Lines |
|
Master |
1.0 |
ID: State Achievement Standards, 2001, Grades 9-12, 351.01 |
Classroom
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Congruence: Apply Tools
The learner will be able to
apply tools (compass, straightedge, folded paper, mirrors, and/or computers) in the creation of congruent segments, angles, triangles, and/or circles.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Congruence |
Application |
Master |
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District Expectation: ISAT |
Classroom
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Constructions: Use/Tools
The learner will be able to
use tools to create angle bisectors, perpendicular bisectors, a perpendicular line from a point on a line, parallel lines, proportional line segments, tangents, and inscribe and circumscribed polygons.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Constructions |
Application |
Master |
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District Expectation; ISAT |
Classroom
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Lines/Angles: Identify
The learner will be able to
recognize, define, approximate, and/or measure line segments and angles of all kinds.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Lines/Angles/Polygons |
Application |
Master |
|
District Expectation; ISAT |
Classroom
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Parallel Lines: Use/Properties
The learner will be able to
use properties that involve parallel lines and/or proportion.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Lines: Parallel/Perpendicular |
Application |
Master |
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ID: State Achievement Standards, 2001, Grades 9-12, 348.02.b |
Classroom
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Similarity: Properties
The learner will be able to
identify and/or use properties of similar polygons with the use of ratio and proportion.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Similarity |
Comprehension |
Master |
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ID: State Achievement Standards, 2001, Grades 9-12, 351.01.b; ISAT |
Classroom
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Spatial Thinking: Apply
The learner will be able to
apply visualization skills to investigate and/or interpret two- and three-dimensional figures using projections, cross sections, and/or locus problems.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Spatial Thinking |
Application |
Master |
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District Expectation |
Classroom
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Theorems: Apply/State
The learner will be able to
state and/or use the triangle sum theorem, exterior angle theorems, and/or polygon angle sum theorems.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Geometric Proofs/Theorems |
Knowledge |
Master |
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ID: State Achievement Standards, 2001, Grades 9-12, 348.02.b; ISAT |
Classroom
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Three-Dimensional Solids: Areas
The learner will be able to
determine the lateral and total areas of right prisms, regular pyramids, right circular cylinders, and cones.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Three-Dimensional Solids |
Application |
Master |
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ID: State Achievement Standards, 2001, Grades 9-12, 349.01; ISAT |
Classroom
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Three-Dimensional Solids: Volumes
The learner will be able to
determine the volume of solid figures composed of prisms, pyramids, cylinders, cones, or spheres.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Three-Dimensional Solids |
Application |
Master |
|
ID: State Achievement Standards, 2001, Grades 9-12, 349.01.a; ISAT |
Classroom
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Transformations: Apply
The learner will be able to
apply transformations to inspect symmetry, similarity, and/or congruence of geometric figures.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Transformations |
Application |
Master |
|
ID: State Achievement Standards, 2001, Grades 9-12, 351.01.a |
Classroom
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Transformations: Determine
The learner will be able to
determine the images of geometric figures under distance-maintaining transformations including line reflections, translations, and/or rotations in space or on a coordinate plane.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Transformations |
Comprehension |
Master |
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ID: State Achievement Standards, 2001, Grades 9-12, 351.01.a; ISAT |
Classroom
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Transformations: Examine/Apply
The learner will be able to
inspect and/or use elementary properties of line reflections, translations, rotations, dilations, and/or their compositions to solve Problems.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Transformations |
Application |
Master |
|
ID: State Achievement Standards, 2001, Grades 9-12, 351.01.a; ISAT |
Classroom
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Circle Parts: Sector/Area
The learner will be able to
compute area of sectors of a circle.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Circles |
Application |
Master |
1.0 |
ID: State Achievement Standards, 2001, Grades 9-12, 349.01.a |
Classroom
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Congruence: Identify
The learner will be able to
recognize congruent figures.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Congruence |
Knowledge |
Master |
1.0 |
ID: State Achievement Standards, 2001, Grades 9-12, 351.01.a |
Classroom
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Congruence: Identify
The learner will be able to
identify congruence in practical applications.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Congruence |
Knowledge |
Master |
1.0 |
ID: State Achievement Standards, 2001, Grades 9-12, 351.01.a |
Classroom
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Congruence: Properties
The learner will be able to
apply congruence properties to test conjectures involving triangles.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Congruence |
Evaluation |
Master |
1.0 |
ID: State Achievement Standards, 2001, Grades 9-12, 351.01.a |
Classroom
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Geometric Relationships: Problem Solving
The learner will be able to
use geometric relationships to solve problems.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Geometric Relationships |
Application |
Master |
1.0 |
ID: State Achievement Standards, 2001, Grades 9-12, 348.01.a |
Classroom
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Inductive/Deductive: Prove/Conjectures
The learner will be able to
apply inductive and deductive reasoning to prove conjectures presented in written form.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Reasoning |
Evaluation |
Master |
1.0 |
ID: State Achievement Standards, 2001, Grades 9-12, 348.02.a |
Classroom
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Lines: Identify/Skew
The learner will be able to
identify skew lines.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Lines |
Knowledge |
Master |
0.5 |
District Expectation |
Classroom
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Parallel Lines: Identify
The learner will be able to
identify parallel lines.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Lines: Parallel/Perpendicular |
Knowledge |
Master |
0.5 |
District Expectation |
Classroom
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Polygons: Classify
The learner will be able to
classify polygons as being regular, convex, and/or congruent.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Polygons |
Analysis |
Master |
1.0 |
District Expectation; ISAT |
Classroom
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Problem Solving: Polygons
The learner will be able to
use the properties of similar polygons in obtaining problem solutions.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Problem Solving |
Application |
Master |
1.0 |
ID: State Achievement Standards, 2001, Grades 9-12, 348.02.a; ISAT |
Classroom
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Pythagorean Theorem: Apply
The learner will be able to
use the Pythagorean theorem and/or the theorem's converse.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Pythagorean Theorem |
Application |
Master |
1.0 |
ID: State Achievement Standards, 2001, Grades 9-12, 351.02.c |
Classroom
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Pythagorean Theorem: State/Converse
The learner will be able to
state the Pythagorean Theorem and its converse.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Pythagorean Theorem |
Knowledge |
Master |
1.0 |
ID: State Achievement Standards, 2001, Grades 9-12, 351.02.c |
Classroom
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Right Triangles: State/Properties
The learner will be able to
state the properties of special right triangles.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Right Triangles |
Comprehension |
Master |
1.0 |
ID: State Achievement Standards, 2001, Grades 9-12, 351.02.a |
Classroom
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Right Triangles: Use/Properties
The learner will be able to
use the properties of special right triangles (30-60-90 and/or 45-45-90).
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Right Triangles |
Application |
Master |
1.0 |
ID: State Achievement Standards, 2001, Grades 9-12, 351.02.a |
Classroom
|
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Similarity: Figures
The learner will be able to
recognize similar figures in practical applications.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Similarity |
Knowledge |
Master |
0.5 |
ID: State Achievement Standards, 2001, Grades 9-12, 351.01.a |
Classroom
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Similarity: Triangles
The learner will be able to
recognize and solve problems with similar triangles (and other polygons) though the application of their properties.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Similarity |
Knowledge |
Master |
1.0 |
ID: State Achievement Standards, 2001, Grades 9-12, 351.01.a; ISAT |
Classroom
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Transformations: Dilations
The learner will be able to
determine the image of figures under dilations.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Transformations |
Application |
Master |
1.5 |
ID: State Achievement Standards, 2001, Grades 9-12, 351.01.a |
Classroom
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Triangles: Classify
The learner will be able to
classify triangles as scalene, equilateral or isosceles.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Triangles |
Analysis |
Master |
0.5 |
District Expectation; ISAT |
Classroom
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Triangles: Identify/Congruent
The learner will be able to
recognize congruent triangles.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Triangles |
Knowledge |
Master |
0.5 |
District Expectation; ISAT |
Classroom
|
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Triangles: Sorting
The learner will be able to
classify triangles by their angle measures (acute, obtuse, or right).
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Triangles |
Analysis |
Master |
0.5 |
District Expectation; ISAT |
Classroom
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Geometry: Postulates
The learner will be able to
identify the geometric postulates which form the basis of Euclidean geometry and know what constitutes a postulate.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Geometric Concepts |
Knowledge |
Master |
1.0 |
ISAT |
Classroom
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Angles: Interior/exterior
The learner will be able to
identify and calculate the interior and exterior angles of a given figure.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Angles |
Application |
Master |
1.0 |
ISAT |
Classroom
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Circle: Radius/Diameter/Chord
The learner will be able to
determine possible values for either radius, diameter, or chords of a circle with given area.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Circles |
Application |
Master |
2.0 |
ISAT |
Classroom
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Reasoning: Apply
The learner will be able to
apply formal and/or informal logical reasoning processes.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Reasoning |
|
Master |
|
ID: State Achievement Standards, 2001, Grades 9-12, 348.02 |
Classroom
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Reasoning: Inductive/Deductive
The learner will be able to
apply inductive and/or deductive reasoning skills to form conclusions, recognize conjectures and counterexamples, and to describe the characteristics of a deductive mathematical system.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Reasoning |
Application |
Master |
|
ID: State Achievement Standards, 2001, Grades 9-12, 348.02.a |
Classroom
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Reasoning: Recognize
The learner will be able to
identify correct deductive reasoning, and create and/or apply if-then, converse, inverse, and/or contrapositive statements.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Reasoning |
Comprehension |
Master |
|
ID: State Achievement Standards, 2001, Grades 9-12, 348.02.a |
Classroom
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Perimeter/Area/Volume: Concepts
The learner will be able to
define and/or understand the differences among perimeter, area, and volume and their respective units.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Perimeter/Area/Volume |
|
Master |
|
ID: State Achievement Standards, 2001, Grades 9-12, 351.01and 349.01; ISAT |
Classroom
|
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Area: Use/Solve
The learner will be able to
obtain solutions to problems using area.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Area |
|
Master |
0.5 |
ID: State Achievement Standards, 2001, Grades 9-12, 351.01 |
Classroom
|
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Area of a Circle: Calculate
The learner will be able to
calculate the area of a circle.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Area of a Circle |
Application |
Master |
0.5 |
ID: State Achievement Standards, 2001, Grades 9-12, 349.01.a; ISAT |
Classroom
|
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Area of a Parallelogram
The learner will be able to
calculate the area of a parallelogram.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Area |
Application |
Master |
1.0 |
ID: State Achievement Standards, 2001, Grades 9-12, 349.01.a; ISAT |
Classroom
|
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Area of a Rectangle: Determine
The learner will be able to
find the area of a rectangle.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Area of a Rectangle |
Application |
Master |
1.5 |
ID: State Achievement Standards, 2001, Grades 9-12, 349.01.a; ISAT |
Classroom
|
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Area of a Square: Find
The learner will be able to
determine the area of a square.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Area of a Square |
Application |
Master |
1.0 |
ID: State Achievement Standards, 2001, Grades 9-12, 349.01.a; ISAT |
Classroom
|
|
Area of a Trapezoid: Calculate
The learner will be able to
calculate the area of a trapezoid.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Area |
Application |
Master |
0.5 |
ID: State Achievement Standards, 2001, Grades 9-12, 349.01.a; ISAT |
Classroom
|
|
Area of a Triangle: Determine
The learner will be able to
find the area of a triangle.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Area of a Triangle |
Application |
Master |
1.5 |
ID: State Achievement Standards, 2001, Grades 9-12, 349.01.a; ISAT |
Classroom
|
|
Area: Compare
The learner will be able to
make comparisons of the areas of similar polygons.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Area |
Analysis |
Master |
1.5 |
ID: State Achievement Standards, 2001, Grades 9-12, 351.01.b;ISAT |
Classroom
|
|
Area: Regular Polygon
The learner will be able to
determine the area of a regular polygon.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Area |
Application |
Master |
1.0 |
ID: State Achievement Standards, 2001, Grades 9-12, 349.01.a; ISAT |
Classroom
|
|
Circumference: Determine
The learner will be able to
determine the circumference of a circle.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Circumference |
Application |
Master |
1.0</ | | |
