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Dallas School District
K-12 Curriculum
Elementary Mathematics - Grade 5

Algebraic Concepts

Number Sentence: Choose/Apply
The learner will be able to choose and apply appropriate methods, including physical materials, to obtain solutions to number sentences and describe the method of solution.
Strand Source Activities
Number Sentence PA: Academic Standards, January 16, 1999, Grade 5, p.13,2.8.5.G Classroom
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Equations: Describe
The learner will be able to use information given in equations inequalities tables of graphs in the description of a realistic scenario.
Strand Source Activities
Equations PA: Academic Standards, January 16, 1999, Grade 5, p.13,2.8.5.F Classroom
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Expressions: Create
The learner will be able to create expressions that represent mathematical situations using physical objects and combinations of symbols and numbers.
Strand Source Activities
Expressions PA: Academic Standards, January 16, 1999, Grade 5, p.13,2.8.5.D Classroom
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Algorithms: Develop/Apply
The learner will be able to develop and apply algorithms to obtain solutions to word problems that involve adding, subtracting, and/or multiplying with fractions and mixed numbers that include like and unlike denominators.
Strand Source Activities
Algorithms PA: Academic Standards, January 16, 1999, Grade 5, p.4,2.2.5.B, p.4,2.2.5.C Classroom
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Algorithms: Develop/Apply
The learner will be able to develop and apply algorithms to obtain solutions to word problems that involve adding, subtracting, and/or multiplying with decimals with and without regrouping.
Strand Source Activities
Algorithms PA: Academic Standards, January 16, 1999, Grade 5, p.4,2.2.5.B Classroom
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Rates: Explain Relationship/Time
The learner will be able to explain the relationship between rates of change and time.
Strand Source Activities
Rates PA: Academic Standards, January 16, 1999, Grade 5, p.19,2.11.5.D Classroom
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Variable
The learner will be able to understand the basic concept of a variable as representing an unknown quantity.
Strand Source Activities
Variable PA: System of School Assessment, 1997, Grade 5, p.12,#5 week tested: 30. Classroom
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Variable: Solving For
The learner will be able to manipulate a given formula to solve for a specific variable.
Strand Source Activities
Variable PA: System of School Assessment, 1997, Grade 5, p.12,#5 week tested: 30. Classroom
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Algorithms: Describe
The learner will be able to describe algorithms for multiplication and division.
Strand Source Activities
Algorithms PA: Academic Standards, January 16, 1999, Grade 5, p.5,2.2.5.H Classroom
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Computation: Select
The learner will be able to select a suitable computational strategy.
Strand Source Activities
Computation PA: Academic Standards, January 16, 1999, Grade 5, p.5,2.2.5.I Classroom
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Symbols: Explain
The learner will be able to explain the application of combinations of symbols and numbers in expressions, equations, and inequalities.
Strand Source Activities
Symbols PA: Academic Standards, January 16, 1999, Grade 5, p.13,2.8.5.E Classroom
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Calculus and Pre-Calculus

Apply Calculus Concepts: Max/Min
The learner will be able to determine maximum and minimum.
Strand Source Activities
Applying Calculus Concepts PA: Academic Standards, January 16, 1999, Grade 5, p.19,2.11.5.C Classroom
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Data Interpretation

Bar Graphs: Recognize Values
The learner will be able to recognize least and greatest values illustrated in bar graphs and circle graphs.
Strand Source Activities
Bar Graphs PA: Academic Standards, January 16, 1999, Grade 5, p.19,2.11.5.B Classroom
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Decimal Notation
The learner will be able to identify and use decimal notation.
Strand Source Activities
Decimals PA: System of School Assessment, 1997, Grade 5, p.11,#1 week tested: 30. Classroom
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Fraction Notation
The learner will be able to evaluate fraction notation in context as part of a whole, in division, or as a ratio.
Strand Source Activities
Fractions PA: System of School Assessment, 1997, Grade 5, p.11,#1 week tested: 30. Classroom
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Problem Solving: Fractions
The learner will be able to apply fraction representations to solve real-world problems.
Strand Source Activities
Problem Solving PA: System of School Assessment, 1997, Grade 5, p.11,#1 week tested: 30. Classroom
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Functions: Generate/Relate
The learner will be able to use tables of data to generate functions and relate data to corresponding graphs and functions.
Strand Source Activities
Functions PA: Academic Standards, January 16, 1999, Grade 5, p.14,2.8.5.I Classroom
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Figures: Construct/Geoboard
The learner will be able to create two-and three-dimensional shapes and figures using geoboards.
Strand Source Activities
Figures: Construct PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.E Classroom
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Representations: Create/Mental Image
The learner will be able to create a mental image of constructed and/or altered shapes.
Strand Source Activities
Figures: Representations PA: System of School Assessment, 1997, Grade 5, p.11,#1 week tested: 30. Classroom
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Figures: Name/Identify
The learner will be able to identify, name, and/or apply properties of geometric figures.
Strand Source Activities
Figures PA: Academic Standards, January 16, 1999, Grade 5, p.17,2.9.5.L Classroom
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Figures: Identify/Properties
The learner will be able to recognize geometric shapes and/or know the properties they may possess.
Strand Source Activities
Figures PA: System of School Assessment, 1997, Grade 5, p.11,#3C week tested: 30. Classroom
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Circle: Radius/Diameter
The learner will be able to recognize the radius and diameter of a circle and measure them.
Strand Source Activities
Circles PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.C Classroom
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Planes/Points/Lines: Apply Concepts
The learner will be able to apply the ideas of planes, points, and/or lines in one, two, and/or three dimensions.
Strand Source Activities
Planes/Points/Lines PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.I Classroom
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Logic: Interpret Statements
The learner will be able to analyze and/or understand statements that are constructed with the specific language of logic, including the terms all, every, none, some, and/or many.
Strand Source Activities
Logic PA: Academic Standards, January 16, 1999, Grade 5, p.7,2.4.5.E Classroom
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Properties: Define
The learner will be able to define the elementary properties of squares, pyramids, parallelograms, quadrilaterals, trapezoids, polygons, rectangles, rhombi, circles, triangles, cubes, prisms, spheres, and cylinders.
Strand Source Activities
Properties of Figures PA: Academic Standards, January 16, 1999, Grade 5, p.17,2.9.5.J Classroom
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Lines/Angles: Identify/Apply
The learner will be able to identify real-world examples of different types of lines and angles and apply them in problem solving or creative projects.
Strand Source Activities
Lines/Angles/Polygons PA: System of School Assessment, 1997, Grade 5, p.11,#1 week tested: 30. Classroom
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Figures: Describe/Constructing
The learner will be able to give word descriptions of how geometric shapes are constructed.
Strand Source Activities
Figures: Describe PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.D Classroom
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Vocabulary: Compose/Definitions
The learner will be able to compose definitions for familiar geometric figures.
Strand Source Activities
Figures: Vocabulary PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.A Classroom
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Solids: Real-World
The learner will be able to identify three-dimensional solids in his/her environment.
Strand Source Activities
Three-Dimensional Solids PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.F Classroom
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Shapes: Circle
The learner will be able to identify a circle.
Strand Source Activities
Two-Dimensional Shapes PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.C Classroom
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Right Triangle: Create/Geoboard
The learner will be able to use a geoboard to create right triangles.
Strand Source Activities
Triangles PA: Academic Standards, January 16, 1999, Grade 5, p.18,2.10.5.B Classroom
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Triangles: Compare
The learner will be able to make comparisons of triangles based upon their sides or angles.
Strand Source Activities
Triangles PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.B Classroom
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Triangles: Classify
The learner will be able to classify triangles according to their side lengths and angle measures.
Strand Source Activities
Triangles PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.B Classroom
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Circles: Measure
The learner will be able to measure circles.
Strand Source Activities
Circles PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.C Classroom
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Transformation: Interpret
The learner will be able to develop interpretations of transformations of figures in the coordinate plane.
Strand Source Activities
Transformations PA: Academic Standards, January 16, 1999, Grade 5, p.17,2.9.5.K Classroom
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Tessellations: Create
The learner will be able to create tessellations.
Strand Source Activities
Tessellations PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.G Classroom
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Inductive/Deductive: Conclusions
The learner will be able to form inductive and deductive conclusions within mathematical contexts.
Strand Source Activities
Reasoning PA: Academic Standards, January 16, 1999, Grade 5, p.7,2.4.5.C Classroom
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Point/Line/Plane: Represent
The learner will be able to draw representations of the undefined terms (point, line, and plane) of geometry.
Strand Source Activities
Planes/Points/Lines PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.I Classroom
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Rotation: Analyze/Line Segments
The learner will be able to study the rotations of line segments.
Strand Source Activities
Rotations PA: Academic Standards, January 16, 1999, Grade 5, p.17,2.9.5.K Classroom
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Constructions: 2-D
The learner will be able to construct two-dimensional shapes through the use of physical materials.
Strand Source Activities
Constructions PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.E Classroom
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Constructions: 3-D
The learner will be able to construct three-dimensional shapes through the use of physical materials.
Strand Source Activities
Constructions PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.E Classroom
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Quadrilaterals: Classify
The learner will be able to classify quadrilaterals based upon their sides or angles.
Strand