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Dallas School District
K-12 Curriculum
High School Mathematics - Geometry
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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 |
| Computation |
PA: Academic Standards, January 16, 1999, Grade 11, p.4,2.2.11.A |
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Figures: Non-Triangular
The learner will be able to
know and/or apply properties of polygons that are not triangular.
| Strand |
Source |
| Figures |
PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 30. |
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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 |
| Circles |
PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 30. |
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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 |
| Logic |
PA: Academic Standards, January 16, 1999, Grade 11, p.7,2.4.11.D |
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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 |
| Lines/Angles/Polygons |
PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 30. |
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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 |
| Quadrilaterals |
PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.C |
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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 |
| Congruence/Similarity/Symmetry |
PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.B |
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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 |
| Congruence/Similarity/Symmetry |
PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.B |
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Triangles: Corresponding Parts
The learner will be able to
apply concepts involving the corresponding parts of congruent triangles.
| Strand |
Source |
| Triangles |
PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.D |
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Triangles: Properties
The learner will be able to
analyze the properties of triangles.
| Strand |
Source |
| Triangles |
PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 30. |
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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 |
| Circles |
PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.F |
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Logic: Determine Validity
The learner will be able to
figure out the validity of an argument.
| Strand |
Source |
| Logic |
PA: Academic Standards, January 16, 1999, Grade 11, p.7,2.4.11.C |
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Logic: Create Argument
The learner will be able to
create valid arguments from given facts.
| Strand |
Source |
| Logic |
PA: Academic Standards, January 16, 1999, Grade 11, p.7,2.4.11.B |
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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 |
| Symmetry |
PA: Academic Standards, January 16, 1999, Grade 11, p.17,2.9.11.J |
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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 |
| Similarity |
PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 30. |
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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 |
| Constructions |
PA: Academic Standards, January 16, 1999, Grade 11, p.17,2.9.11.H |
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Constructions: Dynamic Tools
The learner will be able to
use dynamic geometry tools to construct geometric figures.
| Strand |
Source |
| Constructions |
PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.A |
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Congruency: Applying
The learner will be able to
solve problems by applying concepts of congruency.
| Strand |
Source |
| Congruence |
PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 30. |
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Problem Solving: Geometric Models
The learner will be able to
model situations geometricaly to formulate and solve problems.
| Strand |
Source |
| Problem Solving |
PA: Academic Standards, January 16, 1999, Grade 11, p.17,2.9.11.I |
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Problem Solving: Geometric Models
The learner will be able to
model situations geometrically to formulate and solve problems.
| Strand |
Source |
| Problem Solving |
PA: Academic Standards, January 16, 1999, Grade 11, p.17,2.9.11.I |
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Polygons: Problem Solving
The learner will be able to
obtain solutions to problems involving inscribed and circumscribed polygons.
| Strand |
Source |
| Polygons |
PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.E |
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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 |
| Reasoning |
PA: Academic Standards, January 16, 1999, Grade 11, p.7,2.4.11.A |
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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 |
| Communication |
PA: Academic Standards, January 16, 1999, Grade 11, p.8,2.5.11.B |
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Communication: Clearly
The learner will be able to
communicate mathematical procedures and results clearly, systematically, succinctly and accurately.
| Strand |
Source |
| Communication |
PA: Academic Standards, January 16, 1999, Grade 11, p.8,2.5.11.C |
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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 |
| Perimeter/Area/Volume |
PA: System of School Assessment, 1997, Grade 11, p.11,#2 week tested: 30. |
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Circumference: Application
The learner will be able to
solve real-world application problems involving circumference measurements.
| Strand |
Source |
| Circumference |
PA: System of School Assessment, 1997, Grade 11, p.11,#2 week tested: 30. |
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Volume: Application
The learner will be able to
solve real-world application problems involving volume measurements.
| Strand |
Source |
| Volume |
PA: System of School Assessment, 1997, Grade 11, p.11,#2 week tested: 30. |
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Measurement: Accuracy
The learner will be able to
measure an object to a given degree of accuracy.
| Strand |
Source |
| Measurement: Application |
PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.D |
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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 |
| Scale Drawings |
PA: System of School Assessment, 1997, Grade 11, p.11,#2 week tested: 30. |
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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 |
| Accuracy |
PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.A |
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Angle Measure: Degrees
The learner will be able to
measure angles in degrees.
| Strand |
Source |
| Angle Measurement |
PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.B |
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Angle Measure: Radians
The learner will be able to
measure angles in radians.
| Strand |
Source |
| Angle Measurement |
PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.B |
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Angle Measure: Compare
The learner will be able to
compare angles in degrees and radians.
| Strand |
Source |
| Angle Measurement |
PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.B |
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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 |
| Number Systems |
PA: System of School Assessment, 1997, Grade 11, p.11,#1 week tested: 30. |
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Number Sense: Demonstrating
The learner will be able to
display a knowledge of number sense.
| Strand |
Source |
| Number Sense |
PA: System of School Assessment, 1997, Grade 11, p.11,#1 week tested: 30. |
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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 |
| Ratio/Proportion |
PA: System of School Assessment, 1997, Grade 11, p.11,#1 week tested: 30. |
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Sequence: Analyzing
The learner will be able to
reproduce, extend, and create sequences.
| Strand |
Source |
| Sequences/Series |
PA: System of School Assessment, 1997, Grade 11, p.12,#5 week tested: 30. |
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Pattern: Generalizing/Predicting
The learner will be able to
make generalizations based upon pattern recognition.
| Strand |
Source |
| Patterns |
PA: System of School Assessment, 1997, Grade 11, p.12,#5 week tested: 30. |
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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 |
| Sequences/Series |
PA: Academic Standards, January 16, 1999, Grade 11, p.19,2.11.11.D |
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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 |
| Sequences/Series |
PA: Academic Standards, January 16, 1999, Grade 11, p.19,2.11.11.D |
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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 |
| Number Sense |
PA: System of School Assessment, 1997, Grade 11, p.11,#1 week tested: 30. |
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Strategies: Choose/Apply
The learner will be able to
analyze a variety of problem solving strategies to develop and defend more efficient strategies.
| Strand |
Source |
| Strategies |
PA: Academic Standards, January 16, 1999, Grade 11, p.8,2.5.11.A |
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Problem Solving: Right Triangles
The learner will be able to
recognize, create, and solve practical right triangle problems by applying trigonometric functions and the Pythagorean Theorem.
| Strand |
Source |
| Problem Solving |
PA: Academic Standards, January 16, 1999, Grade 11, p.18,2.10.11.B |
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