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Math Curriculum 01/12/03
Mathematics - Geometry

Algebraic Concepts

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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Geometry

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
  
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   Master   ID: State Achievement Standards, 2001, Grades 9-12, 351.01 Classroom
  
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
  
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
  
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
  
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   Master   ID: State Achievement Standards, 2001, Grades 9-12, 351.01; ISAT Classroom
  
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
  
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
  
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   Master   ID: State Achievement Standards, 2001, Grades 9-12, 351.01; ISAT Classroom
  
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
  
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
  
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   District Expectation: ISAT Classroom
  
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   District Expectation; ISAT Classroom
  
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
  
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   ID: State Achievement Standards, 2001, Grades 9-12, 348.02.b Classroom
  
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   ID: State Achievement Standards, 2001, Grades 9-12, 351.01.b; ISAT Classroom
  
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   District Expectation Classroom
  
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   ID: State Achievement Standards, 2001, Grades 9-12, 348.02.b; ISAT Classroom
  
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   ID: State Achievement Standards, 2001, Grades 9-12, 349.01; ISAT Classroom
  
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
  
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
  
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   ID: State Achievement Standards, 2001, Grades 9-12, 351.01.a; ISAT Classroom
  
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
  
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
  
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
  
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
  
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
  
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
  
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
  
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
  
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
  
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
  
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
  
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
  
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
  
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
  
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
  
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
  
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
  
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
  
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
  
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
  
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
  
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
  
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
  
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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Mathematics Processes

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
  
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
  
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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Measurement

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
  
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
  
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
  
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
  
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
  
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</