School City of Hobart
School City of Hobart Mathematics

Mathematics - IN: Geometry

Mathematics

The ISTEP+ assessment measures the academic performance of students in Mathematics.

The Indiana Academic Standards provide educators and administrators with a complete set of Indiana's K-12 academic standards for Mathematics. Schools should work to align curriculum instruction and classroom assessment with the new standards. While the standards set expectations for student learning they do not prescribe how the standards should be taught.

Teachers should use their skills, experience, talents, and resources to design classroom lessons to meet the individual needs of their students. With these new academic standards in place students in Indiana will be well equipped with the skills and knowledge to prepare them for the future.

IN: Geometry

The Indiana Academic Standards for Mathematics include standards for students in Geometry.


Functions
The Functions Unit includes Competencies/Objectives which focus on exploring polynomial, rational, exponential, logarithmic, trigonometric, and circular functions.

    Trigonometric Functions: Define
The learner will be able to define the trigonometric functions with regard to the angles of right triangles.
Strand Bloom's Scope Source
Trigonometric Functions Knowledge Master IN: Academic Standards, 2000, Geometry, G.5.4
  
    Trigonometric Functions: Apply
The learner will be able to apply the trigonometric functions with regard to the angles of right triangles.
Strand Bloom's Scope Source
Trigonometric Functions Application Master IN: Academic Standards, 2000, Geometry, G.5.4
  

Geometry
The Geometry Unit includes Competencies/Objectives which focus on exploring geometric concepts from multiple perspectives. Students study properties and construction of figures, proofs and theorems, history of geometry, transformations, logic, and problem solving.

    Figures: Explain/Points on Spheres
The learner will be able to explain sets of points on spheres including chords, tangents, and great circles.
Strand Bloom's Scope Source
Figures: Describe Master IN: Academic Standards, 2000, Geometry, G.7.5
  
    Solids: Recognize/Understand
The learner will be able to recognize and understand properties of congruent and similar three-dimensional solids.
Strand Bloom's Scope Source
Three-Dimensional Solids Master IN: Academic Standards, 2000, Geometry, G.7.6
  
    Figures: Polyhedra
The learner will be able to explain relationships and symmetries, and apply congruence and similarity of polyhedra.
Strand Bloom's Scope Source
Figures Master IN: Academic Standards, 2000, Geometry, Standard 7
  
    Triangles: Recognize/Explain
The learner will be able to recognize and explain triangles that are right, acute, obtuse, scalene, isosceles, equilateral, and equiangular.
Strand Bloom's Scope Source
Triangles Master IN: Academic Standards, 2000, Geometry, G.4.1
  
    Circles: Define/Determine/Apply
The learner will be able to define, determine, and apply measures of circumference, arc length, and areas of circles and sectors and solve problems using these measures.
Strand Bloom's Scope Source
Circles Master IN: Academic Standards, 2000, Geometry, G.6.7
  
    Circles: Define/Recognize
The learner will be able to define and recognize congruent, similar, and concentric circles.
Strand Bloom's Scope Source
Circles Master IN: Academic Standards, 2000, Geometry, G.6.6
  
    Circle Concepts: Relating
The learner will be able to identify, define, and determine how the following circle parts are related: arc, radius, diameter, chord, secant, and tangent.
Strand Bloom's Scope Source
Circles Master IN: Academic Standards, 2000, Geometry, G.6.2
  
    Circles: Measure/Angles/Lengths/Areas
The learner will be able to determine measures of angles, lengths, and areas of circles.
Strand Bloom's Scope Source
Circles Master IN: Academic Standards, 2000, Geometry, Standard 6
  
    Circle Concepts: Define/Determine/Apply
The learner will be able to identify, define, and apply arc measures and related angles.
Strand Bloom's Scope Source
Circles Master IN: Academic Standards, 2000, Geometry, G.6.5
  
    Proofs: Write
The learner will be able to compose geometric proofs, including proofs by contradiction and proofs using coordinate geometry.
Strand Bloom's Scope Source
Proofs Master IN: Academic Standards, 2000, Geometry, G.8.8
  
    Proving: Circles
The learner will be able to prove and/or apply theorems involving the properties of circles.
Strand Bloom's Scope Source
Proofs Master IN: Academic Standards, 2000, Geometry, Standard 6, G.6.3
  
    Proof: Recognize/Example
The learner will be able to recognize and give examples of undefined terms, axioms, and theorems and inductive and deductive proofs.
Strand Bloom's Scope Source
Proofs Master IN: Academic Standards, 2000, Geometry, G.8.6
  
    Proofs: Apply/Compare
The learner will be able to apply and make comparisons of many different ways to present deductive proofs.
Strand Bloom's Scope Source
Proofs Master IN: Academic Standards, 2000, Geometry, G.8.8
  
    Logic: Write/Interpret
The learner will be able to write and interpret "if - then" and "if and only if" statements.
Strand Bloom's Scope Source
Logic Master IN: Academic Standards, 2000, Geometry, G.8.4
  
    Logic: Converse/Inverse/Contrapositive
The learner will be able to express, apply, and examine the validity of the converse, inverse, and contrapositive of "if - then" statements.
Strand Bloom's Scope Source
Logic Master IN: Academic Standards, 2000, Geometry, G.8.5
  
    Constructions: Segments/Angles
The learner will be able to construct congruent segments and angles, angle bisectors, and parallel and perpendicular lines applying a straight edge and compass, describing and justifying the steps used.
Strand Bloom's Scope Source
Constructions Master IN: Academic Standards, 2000, Geometry, G.1.2
  
    Constructions: Geometric/Perform
The learner will be able to perform basic geometric constructions (copy line and angle, bisect line segments and angles, perpendicular lines and parallel lines).
Strand Bloom's Scope Source
Constructions Master IN: Academic Standards, 2000, Geometry, G.8.9
  
    Congruence/Similarity: Apply
The learner will be able to apply the properties of congruent and similar quadrilaterals to obtain solutions to problems involving length and area.
Strand Bloom's Scope Source
Congruence Master IN: Academic Standards, 2000, Geometry, G.3.2
  
    Inequality Theorems
The learner will be able to verify, comprehend, and use the inequality theorems: triangle inequality, inequality in one triangle, and hinge theorem.
Strand Bloom's Scope Source
Geometric Proofs/Theorems Master IN: Academic Standards, 2000, Geometry, G.4.8
  
    Theorem: Triangle Inequality
The learner will be able to obtain problem solutions through the application of the Triangle Inequality Theorem.
Strand Bloom's Scope Source
Geometric Proofs/Theorems Master IN: Academic Standards, 2000, Geometry, Standard 4
  
    Prove: Use/Theorems
The learner will be able to prove and use theorems involving segments divided proportionally.
Strand Bloom's Scope Source
Geometric Proofs/Theorems Master IN: Academic Standards, 2000, Geometry, G.4.5
  
    Quadrilaterals: Explain/Classify
The learner will be able to explain, classify, and comprehend relationships among the following quadrilaterals: square, rectangle, rhombus, parallelogram, trapezoid, and kite.
Strand Bloom's Scope Source
Quadrilaterals Master IN: Academic Standards, 2000, Geometry, G.3.1
  
    Polygons: Determine/Apply
The learner will be able to determine and apply measures of sides, perimeters, and areas of polygons, and associate these measures with each other using formulas.
Strand Bloom's Scope Source
Polygons Master IN: Academic Standards, 2000, Geometry, G.2.5
  
    Polygons: Apply
The learner will be able to apply symmetry, tessellations, and transformations of polygons.
Strand Bloom's Scope Source
Polygons Master IN: Academic Standards, 2000, Geometry, Standard 2
  
    Polygons: Recognize/Explain
The learner will be able to recognize and explain convex, concave, and regular polygons.
Strand Bloom's Scope Source
Polygons Master IN: Academic Standards, 2000, Geometry, G.2.1
  
    Polygons: Describe/Identify
The learner will be able to describe and identify geometric polygons.
Strand Bloom's Scope Source
Polygons Master IN: Academic Standards, 2000, Geometry, Standard 2
  
    Polygons: Exterior/Interior Angles
The learner will be able to determine the measures of interior and exterior angles of polygons, justifying the strategy used.
Strand Bloom's Scope Source
Polygons Master IN: Academic Standards, 2000, Geometry, G.2.2
  
    Figures: Describe/Polyhedron
The learner will be able to explain the polyhedron that can be created from a given net.
Strand Bloom's Scope Source
Figures: Describe Comprehension Master IN: Academic Standards, 2000, Geometry, G.7.2
  
    Figures: Describe/Polyhedron/Net
The learner will be able to explain the net for a given polyhedron.
Strand Bloom's Scope Source
Figures: Describe Comprehension Master IN: Academic Standards, 2000, Geometry, G.7.2
  
    Figures: Explain/Polyhedra
The learner will be able to explain polyhedra.
Strand Bloom's Scope Source
Figures: Describe Comprehension Master IN: Academic Standards, 2000, Geometry, Standard 7
  
    Angle Relationships: Comprehend
The learner will be able to comprehend the relationships between special pairs of angles formed by parallel lines and transversals.
Strand Bloom's Scope Source
Angle Relationships Comprehension Master IN: Academic Standards, 2000, Geometry, G.1.3
  
    Angle Relationships: Apply
The learner will be able to apply the relationships between special pairs of angles formed by parallel lines and transversals.
Strand Bloom's Scope Source
Angle Relationships Application Master IN: Academic Standards, 2000, Geometry, G.1.3
  
    Solids: Describe Characteristics
The learner will be able to describe relationships among faces, edges, and vertices of different polyhedra.
Strand Bloom's Scope Source
Three-Dimensional Solids Comprehension Master IN: Academic Standards, 2000, Geometry, G.7.3
  
    Solids: Symmetry/Describe
The learner will be able to describe symmetry within three-dimensional solids.
Strand Bloom's Scope Source
Three-Dimensional Solids Comprehension Master IN: Academic Standards, 2000, Geometry, G.7.4
  
    Solids: Describe
The learner will be able to describe three-dimensional solids.
Strand Bloom's Scope Source
Three-Dimensional Solids Comprehension Master IN: Academic Standards, 2000, Geometry, Standard 7
  
    Solids: Construct/Polyhedra
The learner will be able to construct polyhedra.
Strand Bloom's Scope Source
Three-Dimensional Solids Synthesis Master IN: Academic Standards, 2000, Geometry, Standard 7
  
    Solids: Create
The learner will be able to create solid figures.
Strand Bloom's Scope Source
Three-Dimensional Solids Synthesis Master IN: Academic Standards, 2000, Geometry, Standard 7
  
    Shapes: Construct/Polyhedra
The learner will be able to construct a model and describe regular and non-regular polyhedra.
Strand Bloom's Scope Source
Two-Dimensional Shapes Synthesis Master IN: Academic Standards, 2000, Geometry, G.7.1
  
    Congruent/Similar: Triangles
The learner will be able to prove triangles congruent and similar.
Strand Bloom's Scope Source
Congruence/Similarity/Symmetry Evaluation Master IN: Academic Standards, 2000, Geometry, G.4.6
  
    Line Segment: Length
The learner will be able to determine line segment lengths.
Strand Bloom's Scope Source
Lines Application Master IN: Academic Standards, 2000, Geometry, Standard 1
  
    Line Segment: Midpoint
The learner will be able to determine the midpoint of a line segment.
Strand Bloom's Scope Source
Lines Application Master IN: Academic Standards, 2000, Geometry, Standard 1
  
    Angles: Bisector/Define
The learner will be able to define an angle bisector.
Strand Bloom's Scope Source
Angles Knowledge Master IN: Academic Standards, 2000, Geometry, G.4.2
  
    Triangles: Identify/Altitude
The learner will be able to recognize altitudes of any triangle.
Strand Bloom's Scope Source
Triangles Knowledge Master IN: Academic Standards, 2000, Geometry, Standard 4, G.4.2
  
    Triangles: Identify/Median
The learner will be able to recognize medians of any triangles.
Strand Bloom's Scope Source
Triangles Knowledge Master IN: Academic Standards, 2000, Geometry, Standard 4, G.4.2
  
    Triangles: Perpendicular Bisector
The learner will be able to recognize perpendicular bisectors of any triangle.
Strand Bloom's Scope Source
Triangles Knowledge Master IN: Academic Standards, 2000, Geometry, G.4.2
  
    Triangles: Angle Bisector
The learner will be able to recognize angle bisectors of any triangle.
Strand Bloom's Scope Source
Triangles Knowledge Master IN: Academic Standards, 2000, Geometry, Standard 4, G.4.2
  
    Triangles: Recognize
The learner will be able to recognize various types of triangles.
Strand Bloom's Scope Source
Triangles Knowledge Master IN: Academic Standards, 2000, Geometry, Standard 4
  
    Triangles: Perpendicular Bisector
The learner will be able to define perpendicular bisectors of triangles.
Strand Bloom's Scope Source
Triangles Comprehension Master IN: Academic Standards, 2000, Geometry, G.4.2
  
    Triangles: Define/Median
The learner will be able to define the median of a triangle.
Strand Bloom's Scope Source
Triangles Comprehension Master IN: Academic Standards, 2000, Geometry, G.4.2
  
    Triangles: Define/Altitude
The learner will be able to define the altitude of a triangle.
Strand Bloom's Scope Source
Triangles Comprehension Master IN: Academic Standards, 2000, Geometry, G.4.2
  
    Triangles: Explain
The learner will be able to explain various types of triangles.
Strand Bloom's Scope Source
Triangles Comprehension Master IN: Academic Standards, 2000, Geometry, Standard 4
  
    Triangles: Draw/Altitude
The learner will be able to draw the altitude of a triangle.
Strand Bloom's Scope Source
Triangles Application Master IN: Academic Standards, 2000, Geometry, Standard 4, G.4.2
  
    Triangles: Draw/Median
The learner will be able to draw the medians of the sides of a triangle.
Strand Bloom's Scope Source
Triangles Application Master IN: Academic Standards, 2000, Geometry, Standard 4, G.4.2
  
    Triangles: Draw/Perpendicular Bisector
The learner will be able to draw the perpendicular bisectors of the sides of a triangle.
Strand Bloom's Scope Source
Triangles Application Master IN: Academic Standards, 2000, Geometry, G.4.2
  
    Triangles: Measure/Sides
The learner will be able to find the measure of the sides of a triangle.
Strand Bloom's Scope Source
Triangles Application Master IN: Academic Standards, 2000, Geometry, Standard 4, G.4.7
  
    Triangles: Corresponding Parts
The learner will be able to apply concepts involving the corresponding parts of congruent triangles.
Strand Bloom's Scope Source
Triangles Application Master IN: Academic Standards, 2000, Geometry, G.4.6
  
    Triangles: Draw/Angle Bisector
The learner will be able to construct the angle bisectors of any triangle.
Strand Bloom's Scope Source
Triangles Synthesis Master IN: Academic Standards, 2000, Geometry, Standard 4, G.4.2
  
    Circle: Center
The learner will be able to identify the center point of a circle.
Strand Bloom's Scope Source
Circles Knowledge Master IN: Academic Standards, 2000, Geometry, G.6.1
  
    Circle: Define/Concepts
The learner will be able to define concepts related to circles.
Strand Bloom's Scope Source
Circles Comprehension Master IN: Academic Standards, 2000, Geometry, Standard 6
  
    Circles: Circumscribe
The learner will be able to circumscribe circles.
Strand Bloom's Scope Source
Circles Application Master IN: Academic Standards, 2000, Geometry, G.6.4
  
    Circles: Inscribe
The learner will be able to inscribe circles.
Strand Bloom's Scope Source
Circles Application Master IN: Academic Standards, 2000, Geometry, G.6.4
  
    Circle: Equation
The learner will be able to determine equations of circles.
Strand Bloom's Scope Source
Circles Application Master IN: Academic Standards, 2000, Geometry, Standard 6
  
    Circle: Equation/Coordinate Plane
The learner will be able to determine the equation of a circle in the coordinate plane with regard to its center and radius.
Strand Bloom's Scope Source
Circles Application Master IN: Academic Standards, 2000, Geometry, G.6.8
  
    Circle: Construct/Tangents
The learner will be able to construct circle tangents.
Strand Bloom's Scope Source
Circles Synthesis Master IN: Academic Standards, 2000, Geometry, G.6.4
  
    Circle: Construct/Non-Collinear Points
The learner will be able to construct a circle which contains three non-collinear points.
Strand Bloom's Scope Source
Circles Synthesis Master IN: Academic Standards, 2000, Geometry, G.6.1
  
    Pythagorean Theorem: Apply
The learner will be able to apply the Pythagorean Theorem.
Strand Bloom's Scope Source
Pythagorean Theorem Application Master IN: Academic Standards, 2000, Geometry, G.5.1
  
    Pythagorean Theorem: Problem Solving
The learner will be able to solve problems using the Pythagorean Theorem.
Strand Bloom's Scope Source
Pythagorean Theorem Application Master IN: Academic Standards, 2000, Geometry, Standard 5
  
    Pythagorean Theorem: Prove
The learner will be able to create a proof for the Pythagorean Theorem.
Strand Bloom's Scope Source
Pythagorean Theorem Synthesis Master IN: Academic Standards, 2000, Geometry, Standard 5, G.5.1
  
    Transformation: Apply/Polygons
The learner will be able to determine congruence, similarity, symmetry, and tessellations by applying transformations to polygons.
Strand Bloom's Scope Source
Transformations Application Master IN: Academic Standards, 2000, Geometry, G.2.4
  
    Translation: Understand/Congruence
The learner will be able to understand that images that are made by translations are congruent to the original image.
Strand Bloom's Scope Source
Translations Comprehension Master IN: Academic Standards, 2000, Geometry, G.2.4
  
    Geometric Concepts: Conjectures
The learner will be able to formulate conjectures about geometric concepts.
Strand Bloom's Scope Source
Geometric Concepts Synthesis Master IN: Academic Standards, 2000, Geometry, G.8.3
  
    Similarity: Apply/Quadrilaterals
The learner will be able to apply the similarity of quadrilaterals.
Strand Bloom's Scope Source
Similarity Application Master IN: Academic Standards, 2000, Geometry, Standard 3
  
    Similarity: Apply/Triangles
The learner will be able to apply the similarity of triangles.
Strand Bloom's Scope Source
Similarity Application Master IN: Academic Standards, 2000, Geometry, Standard 4
  
    Constructions: Explain/Procedures
The learner will be able to explain the procedures used for basic geometric constructions.
Strand Bloom's Scope Source
Constructions Comprehension Master IN: Academic Standards, 2000, Geometry, G.8.9
  
    Constructions: Distinguish
The learner will be able to distinguish between drawing figures and constructing figures.
Strand Bloom's Scope Source
Constructions Analysis Master IN: Academic Standards, 2000, Geometry, G.8.9
  
    Constructions: Procedures/Justify
The learner will be able to make justifications for the procedures for basic geometric constructions.
Strand Bloom's Scope Source
Constructions Evaluation Master IN: Academic Standards, 2000, Geometry, G.8.9
  
    Properties: Apply/Triangles
The learner will be able to apply the properties of congruent and similar triangles to obtain solutions to problems involving lengths and areas.
Strand Bloom's Scope Source
Properties of Figures Application Master IN: Academic Standards, 2000, Geometry, G.4.4
  
    Congruence: Apply/Quadrilaterals
The learner will be able to apply the congruence of quadrilaterals.
Strand Bloom's Scope Source
Congruence Application Master IN: Academic Standards, 2000, Geometry, Standard 3
  
    Congruence: Apply/Triangles
The learner will be able to apply the congruence of triangles.
Strand Bloom's Scope Source
Congruence Application Master IN: Academic Standards, 2000, Geometry, Standard 4
  
    Congruency: Triangles/Construct
The learner will be able to construct a triangle which is congruent to a given triangle.
Strand Bloom's Scope Source
Congruence Synthesis Master IN: Academic Standards, 2000, Geometry, G.4.3
  
    Problem Solving: Polygons
The learner will be able to use the properties of similar polygons in obtaining problem solutions.
Strand Bloom's Scope Source
Problem Solving Application Master IN: Academic Standards, 2000, Geometry, G.2.3
  
    Problem Solving: Polygons
The learner will be able to use the properties of congruent polygons in obtaining problem solutions.
Strand Bloom's Scope Source
Problem Solving Application Master IN: Academic Standards, 2000, Geometry, G.2.3
  
    Perpendicular Lines: Describe
The learner will be able to describe perpendicular lines.
Strand Bloom's Scope Source
Lines: Parallel/Perpendicular Comprehension Master IN: Academic Standards, 2000, Geometry, Standard 1
  
    Parallel Lines: Describe
The learner will be able to describe parallel lines.
Strand Bloom's Scope Source
Lines: Parallel/Perpendicular Comprehension Master IN: Academic Standards, 2000, Geometry, Standard 1
  
    Parallel Lines: Use
The learner will be able to use parallel lines.
Strand Bloom's Scope Source
Lines: Parallel/Perpendicular Application Master IN: Academic Standards, 2000, Geometry, Standard 1
  
    Perpendicular Lines: Use
The learner will be able to use perpendicular lines.
Strand Bloom's Scope Source
Lines: Parallel/Perpendicular Application Master IN: Academic Standards, 2000, Geometry, Standard 1
  
    Quadrilaterals: Identify/Simple
The learner will be able to recognize simple quadrilaterals.
Strand Bloom's Scope Source
Quadrilaterals Knowledge Master IN: Academic Standards, 2000, Geometry, Standard 3
  
    Quadrilaterals: Explain/Simple
The learner will be able to explain simple quadrilaterals.
Strand Bloom's Scope Source
Quadrilaterals Comprehension Master IN: Academic Standards, 2000, Geometry, Standard 3
  
    Quadrilaterals: Prove/Properties
The learner will be able to prove properties of quadrilaterals using coordinate geometry.
Strand Bloom's Scope Source
Quadrilaterals Evaluation Master IN: Academic Standards, 2000, Geometry, G.3.4
  
    Polygons: Apply/Congruence
The learner will be able to apply congruence to polygons.
Strand Bloom's Scope Source
Polygons Application Master IN: Academic Standards, 2000, Geometry, Standard 2
  
    Polygons: Apply/Similarity
The learner will be able to apply similarity to polygons.
Strand Bloom's Scope Source
Polygons Application Master IN: Academic Standards, 2000, Geometry, Standard 2
  
    Polygons: Measure/Interior Angles
The learner will be able to measure the interior angles of polygons.
Strand Bloom's Scope Source
Polygons Application Master IN: Academic Standards, 2000, Geometry, Standard 2
  
    Polygons: Measure/Exterior Angles
The learner will be able to measure the exterior angles of polygons.
Strand Bloom's Scope Source
Polygons Application Master IN: Academic Standards, 2000, Geometry, Standard 2
  
    Polygons: Prove/Properties
The learner will be able to prove properties of polygons using coordinate geometry.
Strand Bloom's Scope Source
Polygons Evaluation Master IN: Academic Standards, 2000, Geometry, G.2.6
  

Mathematics Processes
The Mathematics Processes Unit includes Competencies/Objectives which focus on mathematical connections. Students communicate and model concepts and procedures.

    Math as Reasoning: Create/Evaluate
The learner will be able to create and evaluate mathematical arguments and proofs.
Strand Bloom's Scope Source
Reasoning Master IN: Academic Standards, 2000, Geometry, Standard 8
  
    Argument: Formulate/Judge Validity
The learner will be able to formulate logical arguments, assess their validity, and give counterexamples that disprove statements.
Strand Bloom's Scope Source
Conjecture/Argument Master IN: Academic Standards, 2000, Geometry, G.8.7
  
    Conjecture: Distinguish
The learner will be able to distinguish between data that supports a conjecture and proof of a conjecture.
Strand Bloom's Scope Source
Conjecture/Argument Analysis Master IN: Academic Standards, 2000, Geometry, G.8.3
  

Measurement
The Measurement Unit includes Competencies/Objectives which focus on measurement concepts, applications, and analysis. Students study length, area, circumference, perimeter, volume, weight, formulas, distance, calendar, money, tools, accuracy, units, constructions, patterns, and problem solving.

    Length/Perimeter/Area: Measure
The learner will be able to determine the side length, perimeter, and area of polygons by measuring.
Strand Bloom's Scope Source
Perimeter/Area/Volume Master IN: Academic Standards, 2000, Geometry, Standard 2
  
    Length/Perimeter/Area Quadrilaterals
The learner will be able to determine the side length, perimeter, and area of quadrilaterals by measuring.
Strand Bloom's Scope Source
Perimeter/Area/Volume Master IN: Academic Standards, 2000, Geometry, Standard 3, G.3.3
  
    Perimeter: Triangle
The learner will be able to determine the perimeter of a triangle.
Strand Bloom's Scope Source
Perimeter Application Master IN: Academic Standards, 2000, Geometry, Standard 4, G.4.7
  
    Length/Perimeter/Area: Quadrilaterals
The learner will be able to apply the side, perimeter, and area measure of quadrilaterals.
Strand Bloom's Scope Source
Perimeter/Area/Volume Application Master IN: Academic Standards, 2000, Geometry, G.3.3
  
    Length/Perimeter/Area: Relating
The learner will be able to use formulas to determine how the side length, perimeter, and area of quadrilaterals are related.
Strand Bloom's Scope Source
Perimeter/Area/Volume Analysis Master IN: Academic Standards, 2000, Geometry, G.3.3
  
    Perimeter/Area: Applying Formulas
The learner will be able to use formulas to relate the measures of sides, perimeters, and areas of triangles to each other.
Strand Bloom's Scope Source
Perimeter/Area/Volume Analysis Master IN: Academic Standards, 2000, Geometry, G.4.7
  
    Area of a Triangle: Determine
The learner will be able to find the area of a triangle.
Strand Bloom's Scope Source
Area of a Triangle Application Master IN: Academic Standards, 2000, Geometry, Standard 4, G.4.7
  

Problem Solving
The Problem Solving Unit includes Competencies/Objectives which focus on analyzing problems, evaluating solutions, exploring problems, and developing strategies for solving problems.

    Solutions: Evaluate Reasonableness
The learner will be able to evaluate the reasonableness of a given solution within the context of the original problem.
Strand Bloom's Scope Source
Solution Evaluation Master IN: Academic Standards, 2000, Geometry, G.8.2
  
    Strategies: Use
The learner will be able to use a variety of strategies to solve problems.
Strand Bloom's Scope Source
Strategies Application Master IN: Academic Standards, 2000, Geometry, Standard 8, G.8.1
  

Real Numbers and the Coordinate Plane
The Real Numbers and the Coordinate Plane Unit includes Competencies/Objectives which focus on graphing concepts. Students graph equations and make connections between algebraic concepts and their geometric correspondences.

    Coordinate Geometry: Length/Midpoint
The learner will be able to determine the lengths and midpoints of line segments in one- or two-dimensional coordinate systems.
Strand Bloom's Scope Source
Coordinate Geometry Master IN: Academic Standards, 2000, Geometry, G.1.1
  
    Linear Equations
The learner will be able to find the slope, equation of the line, or properties of parallelism or perpendicularity of given lines using concepts of coordinate geometry.
Strand Bloom's Scope Source
Linear Equations Master IN: Academic Standards, 2000, Geometry, G.1.4
  
    Slope: Determine/Line
The learner will be able to determine the slope of a line.
Strand Bloom's Scope Source
Slope Application Master IN: Academic Standards, 2000, Geometry, Standard 1
  
    Coordinate Geometry: Triangles
The learner will be able to prove properties of triangles using coordinate geometry.
Strand Bloom's Scope Source
Coordinate Geometry Evaluation Master IN: Academic Standards, 2000, Geometry, G.4.9
  
    Equations of the Line: Determine
The learner will be able to determine the equations of lines.
Strand Bloom's Scope Source
Linear Equations Application Master IN: Academic Standards, 2000, Geometry, Standard 1
  

Trigonometry
The Trigonometry Unit includes Competencies/Objectives which focus on trigonometric concepts. Students study triangles, trigonometric ratios, and triangle measurements; apply triangle properties; and solve right triangle problems.

    Trigonometric Concepts: Define/Use
The learner will be able to define and use the trigonometric relations of sine, cosine, and tangent.
Strand Bloom's Scope Source
Trigonometric Concepts Master IN: Academic Standards, 2000, Geometry, Standard 5
  
    Right Triangle: Relationships
The learner will be able to state and use the relationships that are present when the altitude is drawn to the hypotenuse of a right triangle.
Strand Bloom's Scope Source
Right Triangles Master IN: Academic Standards, 2000, Geometry, G.5.2
  
    Right Triangle: Use/Understand
The learner will be able to apply and understand the relationship sin^2 (x) + cos^2 (x) = 1.
Strand Bloom's Scope Source
Right Triangles Master IN: Academic Standards, 2000, Geometry, G.5.5
  
    Right Triangles: Solve/Word Problems
The learner will be able to obtain solutions to word problems using right triangles.
Strand Bloom's Scope Source
Right Triangles Application Master IN: Academic Standards, 2000, Geometry, G.5.6
  
    Right Triangles: Use/Special
The learner will be able to obtain solutions to problems using special right triangles.
Strand Bloom's Scope Source
Right Triangles Application Master IN: Academic Standards, 2000, Geometry, G.5.3
  

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