Dallas School District

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Dallas School District
K-12 Curriculum
High School Mathematics - Geometry

Algebraic Concepts

Computation: Develop/Apply
The learner will be able to develop and apply computation ideas, operations and procedures with real numbers in problem-solving situations.
Strand Source Activities
Computation PA: Academic Standards, January 16, 1999, Grade 11, p.4,2.2.11.A Classroom
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Geometry

Figures: Non-Triangular
The learner will be able to know and/or apply properties of polygons that are not triangular.
Strand Source Activities
Figures PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 30. Classroom
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Circles: Properties/Problem Solving
The learner will be able to identify and apply circle properties in order to solve problems.
Strand Source Activities
Circles PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 30. Classroom
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Logic: Truth Tables
The learner will be able to apply truth tables to determine the logic of mathematical statements.
Strand Source Activities
Logic PA: Academic Standards, January 16, 1999, Grade 11, p.7,2.4.11.D Classroom
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Lines/Angles: Properties
The learner will be able to understand and/or apply properties of lines and/or angles.
Strand Source Activities
Lines/Angles/Polygons PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 30. Classroom
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Quadrilaterals: Determine/Prove
The learner will be able to determine and prove the properties of quadrilaterals involving opposite sides and angles, consecutive sides and angles, and diagonals using deductive proofs.
Strand Source Activities
Quadrilaterals PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.C Classroom
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Congruency/Similarity: Triangles
The learner will be able to prove two triangles or two polygons are congruent or similar using algebraic and coordinate as well as deductive proofs.
Strand Source Activities
Congruence/Similarity/Symmetry PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.B Classroom
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Congruency/Similarity: Polygons
The learner will be able to prove two triangles or two polygons are congruent or similar using algebraic and coordinate as well as deductive proofs.
Strand Source Activities
Congruence/Similarity/Symmetry PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.B 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 PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.D Classroom
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Triangles: Properties
The learner will be able to analyze the properties of triangles.
Strand Source Activities
Triangles PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 30. Classroom
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Circles: Problem Solving
The learner will be able to obtain solutions to problems involving circles using the properties of angles, arcs, chords, tangents, and secants.
Strand Source Activities
Circles PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.F Classroom
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Logic: Determine Validity
The learner will be able to figure out the validity of an argument.
Strand Source Activities
Logic PA: Academic Standards, January 16, 1999, Grade 11, p.7,2.4.11.C Classroom
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Logic: Create Argument
The learner will be able to create valid arguments from given facts.
Strand Source Activities
Logic PA: Academic Standards, January 16, 1999, Grade 11, p.7,2.4.11.B Classroom
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Symmetry: Analyze Figures
The learner will be able to study figures in terms of the kinds of symmetries they have.
Strand Source Activities
Symmetry PA: Academic Standards, January 16, 1999, Grade 11, p.17,2.9.11.J Classroom
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Similarity: Similar Figures/Apply
The learner will be able to understand and apply the concepts related to similar figures and properties of similar figures.
Strand Source Activities
Similarity PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 30. Classroom
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Constructions: Figures
The learner will be able to use different transformations to construct a geometric figure and its image.
Strand Source Activities
Constructions PA: Academic Standards, January 16, 1999, Grade 11, p.17,2.9.11.H Classroom
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Constructions: Dynamic Tools
The learner will be able to use dynamic geometry tools to construct geometric figures.
Strand Source Activities
Constructions PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.A Classroom
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Congruency: Applying
The learner will be able to solve problems by applying concepts of congruency.
Strand Source Activities
Congruence PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 30. Classroom
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Problem Solving: Geometric Models
The learner will be able to model situations geometricaly to formulate and solve problems.
Strand Source Activities
Problem Solving PA: Academic Standards, January 16, 1999, Grade 11, p.17,2.9.11.I Classroom
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Problem Solving: Geometric Models
The learner will be able to model situations geometrically to formulate and solve problems.
Strand Source Activities
Problem Solving PA: Academic Standards, January 16, 1999, Grade 11, p.17,2.9.11.I Classroom
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Polygons: Problem Solving
The learner will be able to obtain solutions to problems involving inscribed and circumscribed polygons.
Strand Source Activities
Polygons PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.E Classroom
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Mathematics Processes

Math as Reasoning: Proof
The learner will be able to apply direct and/or indirect proof, or proof by contradiction to validate conjectures.
Strand Source Activities
Reasoning PA: Academic Standards, January 16, 1999, Grade 11, p.7,2.4.11.A Classroom
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Mathematical Concepts: Communication
The learner will be able to apply symbols, mathematical terminology, standard notation, rules, graphing and other mathematical illustrations to communicate observations, predictions, ideas procedures, generalizations, and results.
Strand Source Activities
Communication PA: Academic Standards, January 16, 1999, Grade 11, p.8,2.5.11.B Classroom
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Communication: Clearly
The learner will be able to communicate mathematical procedures and results clearly, systematically, succinctly and accurately.
Strand Source Activities
Communication PA: Academic Standards, January 16, 1999, Grade 11, p.8,2.5.11.C Classroom
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Measurement

Area/Perimeter: Problem Solving
The learner will be able to develop an understanding of area and perimeter by applying various problem solving techniques.
Strand Source Activities
Perimeter/Area/Volume PA: System of School Assessment, 1997, Grade 11, p.11,#2 week tested: 30. Classroom
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Circumference: Application
The learner will be able to solve real-world application problems involving circumference measurements.
Strand Source Activities
Circumference PA: System of School Assessment, 1997, Grade 11, p.11,#2 week tested: 30. Classroom
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Volume: Application
The learner will be able to solve real-world application problems involving volume measurements.
Strand Source Activities
Volume PA: System of School Assessment, 1997, Grade 11, p.11,#2 week tested: 30. Classroom
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Measurement: Accuracy
The learner will be able to measure an object to a given degree of accuracy.
Strand Source Activities
Measurement: Application PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.D Classroom
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Scale Drawing
The learner will be able to use proportional relationships to determine actual measurements from a diagram or map drawn to scale.
Strand Source Activities
Scale Drawings PA: System of School Assessment, 1997, Grade 11, p.11,#2 week tested: 30. Classroom
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Accuracy: Choose/Apply Tools
The learner will be able to choose and use suitable tools and units to measure to the degree of accuracy required in a particular scenario.
Strand Source Activities
Accuracy PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.A Classroom
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Angle Measure: Degrees
The learner will be able to measure angles in degrees.
Strand Source Activities
Angle Measurement PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.B Classroom
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Angle Measure: Radians
The learner will be able to measure angles in radians.
Strand Source Activities
Angle Measurement PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.B Classroom
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Angle Measure: Compare
The learner will be able to compare angles in degrees and radians.
Strand Source Activities
Angle Measurement PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.B Classroom
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Number Theory

Number Systems: Operations
The learner will be able to explore, apply, and/or understand operations as they are applied to various number systems.
Strand Source Activities
Number Systems PA: System of School Assessment, 1997, Grade 11, p.11,#1 week tested: 30. Classroom
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Number Sense: Demonstrating
The learner will be able to display a knowledge of number sense.
Strand Source Activities
Number Sense PA: System of School Assessment, 1997, Grade 11, p.11,#1 week tested: 30. Classroom
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Ratio/Proportion: Applying
The learner will be able to apply ratio and proportion concepts to solve real-world scenario problems.
Strand Source Activities
Ratio/Proportion PA: System of School Assessment, 1997, Grade 11, p.11,#1 week tested: 30. Classroom
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Numeration

Sequence: Analyzing
The learner will be able to reproduce, extend, and create sequences.
Strand Source Activities
Sequences/Series PA: System of School Assessment, 1997, Grade 11, p.12,#5 week tested: 30. Classroom
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Pattern: Generalizing/Predicting
The learner will be able to make generalizations based upon pattern recognition.
Strand Source Activities
Patterns PA: System of School Assessment, 1997, Grade 11, p.12,#5 week tested: 30. Classroom
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Series: Sum of Infinite Geometric
The learner will be able to determine the sum of finite sequences of numbers and infinite geometric series.
Strand Source Activities
Sequences/Series PA: Academic Standards, January 16, 1999, Grade 11, p.19,2.11.11.D Classroom
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Sequence: Sum of Finite
The learner will be able to determine sums of finite sequences of numbers and infinite geometric series.
Strand Source Activities
Sequences/Series PA: Academic Standards, January 16, 1999, Grade 11, p.19,2.11.11.D Classroom
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Percents

Number Sense: Applying
The learner will be able to show an intuitive sense of what a percent is, and how percents are used in real-world scenarios by completing sentences involving percentages with appropriate and reasonable choices.
Strand Source Activities
Number Sense PA: System of School Assessment, 1997, Grade 11, p.11,#1 week tested: 30. Classroom
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Problem Solving

Strategies: Choose/Apply
The learner will be able to analyze a variety of problem solving strategies to develop and defend more efficient strategies.