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Dallas School District
K-12 Curriculum
Elementary Mathematics - Grade 1

Algebraic Concepts

Number Sentence: Solve
The learner will be able to apply physical objects and trial and error to obtain solutions to number sentences and to confirm that solutions are reasonable and accurate.
Strand Source Activities
Number Sentence PA: Academic Standards, January 16, 1999, Grade 3, p.13,2.8.3.B (back mapped) Classroom
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Operations: Show Understanding
The learner will be able to show an understanding of the basic facts of the four operations.
Strand Source Activities
Operations PA: Academic Standards, January 16, 1999, Grade 3, p.3,2.1.3.L (back mapped) Classroom
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Algebraic Concepts: Symbols/Objects
The learner will be able to apply physical objects and symbols to illustrate the concepts of variables, expressions, equations, and inequalities.
Strand Source Activities
Algebraic Concepts PA: Academic Standards, January 16, 1999, Grade 3, p.13,2.8.3.E (back mapped) Classroom
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Solution Methods: Choose/Apply
The learner will be able to choose and apply an appropriate strategy and materials to obtain solutions to problems, including mental math, paper and pencil, and physical objects.
Strand Source Activities
Solution Methods PA: Academic Standards, January 16, 1999, Grade 3, p.8,2.5.3.C Classroom
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Table/Chart: Collect/Display
The learner will be able to collect data and display it in a table or chart.
Strand Source Activities
Tables/Charts PA: Academic Standards, January 16, 1999, Grade 3, p.13,2.8.3.G Classroom
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Algebraic Symbols/Solutions
The learner will be able to describe the meaning of solutions and symbols.
Strand Source Activities
Identify Sentence PA: Academic Standards, January 16, 1999, Grade 3, p.13,2.8.3.F Classroom
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Missing Addend
The learner will be able to substitute a missing addend in a number sentence.
Strand Source Activities
Missing Information PA: Academic Standards, January 16, 1999, Grade 3, p.13,2.8.3.C Classroom
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Operations: Addition/Subtraction
The learner will be able to use physical objects in applying addition and subtraction in everyday scenarios.
Strand Source Activities
Operations PA: Academic Standards, January 16, 1999, Grade 3, p.4,2.2.3.A (back mapped) Classroom
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Algorithms: Describe/Add/Subtract
The learner will be able to describe addition and subtraction algorithms with regrouping.
Strand Source Activities
Algorithms PA: Academic Standards, January 16, 1999, Grade 3, p.4,2.2.3.G (back mapped) Classroom
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Computation: Reasonableness
The learner will be able to determine the reasonableness of calculations.
Strand Source Activities
Computation PA: Academic Standards, January 16, 1999, Grade 3, p.4,2.2.3.F (back mapped) Classroom
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Computation
The learner will be able to apply an understanding of basic facts and algorithms, determine situations in which to use specific computation techniques, and evaluate the reasonableness of given computations.
Strand Source Activities
Computation National Council of Teachers of Mathematics (NCTM), March, 1989, Fourth Grade Classroom
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Number Sense: Manipulatives
The learner will be able to use manipulatives to demonstrate the following algebraic concepts: sets, elements of sets (a different shaped or colored manipulative can be used to represent a set of manipulatives), equal sets, variables representing unequal values (specific manipulatives can be used to equal five of another kind of manipulative), the symbolic nature of algebra, patterns in algebra, and the connection between manipulatives and the written expressions they represent.
Strand Source Activities
Number Sense National Council of Teachers of Mathematics (NCTM), March, 1989, Fourth Grade Classroom
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Operations: Analyzing
The learner will be able to analyze the functions and effects of addition, subtraction, multiplication, and division by discussing these operations formally and informally using mathematics language and symbols, and recognize the variety of mathematical scenarios which can be solved through one or more of these operations.
Strand Source Activities
Operations National Council of Teachers of Mathematics (NCTM), March, 1989, Fourth Grade Classroom
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Translate Problems
The learner will be able to listen to a given scenario, consider the elements of the scenario, determine the missing factor, and write a number sentence which represents the scenario.
Strand Source Activities
Relating Number Sentences/Problems National Council of Teachers of Mathematics (NCTM), March, 1989, Fourth Grade Classroom
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Inverse Operations: Add/Subtract
The learner will be able to explain the inverse relationship that exists between addition and subtraction.
Strand Source Activities
Inverse Operations PA: Academic Standards, January 16, 1999, Grade 3, p.3,2.1.3.K Classroom
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Data Interpretation

Data Collection: Organize/Illustrate
The learner will be able to collect, organize, and illustrate data using pictures, tallies, charts, bar graphs, and pictographs.
Strand Source Activities
Graphing PA: Academic Standards, January 16, 1999, Grade 3, p.9,2.6.3.A Classroom
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Data Collection: Analysis
The learner will be able to gather and/or study data by applying the notions of largest, smallest, most frequent, less frequent, and/or middle.
Strand Source Activities
Data Collection and Classification PA: Academic Standards, January 16, 1999, Grade 3, p.11,2.7.3.D (back mapped) Classroom
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Bar Graphs: Recognize Values
The learner will be able to recognize least and greatest values illustrated in bar graphs and pictographs.
Strand Source Activities
Bar Graphs PA: Academic Standards, January 16, 1999, Grade 3, p.19,2.11.3.B Classroom
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Tables/Charts: Explain
The learner will be able to explain information shown in tables and charts.
Strand Source Activities
Tables/Charts PA: Academic Standards, January 16, 1999, Grade 3, p.13,2.8.3.H (back mapped) Classroom
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Table/Chart: Interpret
The learner will be able to interpret information presented in tables and charts.
Strand Source Activities
Tables/Charts PA: Academic Standards, January 16, 1999, Grade 3, p.13,2.8.3.H (back mapped) Classroom
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Logical Reasoning: Questions
The learner will be able to formulate and answer questions based on data displayed on graphs.
Strand Source Activities
Logical Reasoning PA: Academic Standards, January 16, 1999, Grade 3, p.9,2.6.3.B (back mapped) Classroom
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Analyzing: Graphical Forms
The learner will be able to demonstrate the ability to interpret graphical forms of data by explaining data presented in different graphical forms (tables, charts, graphs, diagrams, etc.) orally or in writing.
Strand Source Activities
Analyzing/Evaluating Graphical Forms National Council of Teachers of Mathematics (NCTM), March, 1989, Fourth Grade Classroom
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Analyzing: Graphical Forms
The learner will be able to demonstrate the ability to interpret graphical forms (tables, charts, graphs, diagrams, etc.) of data by transferring information from one graphical form to another.
Strand Source Activities
Analyzing/Evaluating Graphical Forms National Council of Teachers of Mathematics (NCTM), March, 1989, Fourth Grade Classroom
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Analyzing: Graphical Forms
The learner will be able to demonstrate the ability to interpret graphical forms of data (tables, charts, graphs, diagrams, etc.) by making decisions about a topic based on information presented in graphical form.
Strand Source Activities
Analyzing/Evaluating Graphical Forms National Council of Teachers of Mathematics (NCTM), March, 1989, Fourth Grade Classroom
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Fraction Parts: Part of a Whole
The learner will be able to demonstrate the idea of fraction as part of a whole using drawings, diagrams, or models.
Strand Source Activities
Fraction Parts PA: Academic Standards, January 16, 1999, Grade 3, p.2,2.1.3.D (back mapped) Classroom
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Number Sense: Using Bar Graphs
The learner will be able to demonstrate an understanding of the relationships among fractions (simple, mixed, improper) by creating a bar graph which accurately represents a given series of simple, mixed, and improper fractions.
Strand Source Activities
Number Sense National Council of Teachers of Mathematics (NCTM), March, 1989, Fourth Grade Classroom
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Number Sense: Using Fractions
The learner will be able to explore fractions and use an intuitive sense of fractions as proportions and/or ratios to evaluate the reasonableness of a given problem and solution.
Strand Source Activities
Number Sense National Council of Teachers of Mathematics (NCTM), March, 1989, Fourth Grade Classroom
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Problem Solving
The learner will be able to evaluate a real-world scenario problem involving fractions to determine the appropriate operation (addition or subtraction), decide on relevant elements, set up an equation, and solve the equation.
Strand Source Activities
Problem Solving National Council of Teachers of Mathematics (NCTM), March, 1989, Fourth Grade Classroom
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Function: Illustrate/Rules
The learner will be able to illustrate simple function rules.
Strand Source Activities
Functions PA: Academic Standards, January 16, 1999, Grade 3, p.14,2.8.3.I Classroom
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Figures: Name/Label
The learner will be able to name plane geometric figures.
Strand Source Activities
Figures: Identify PA: Academic Standards, January 16, 1999, Grade 3, p.16,2.9.3.A Classroom
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Figures: Form/Check/Confirm
The learner will be able to formulate, check, and confirm predictions about the quantity, size and shape of objects and sets of objects.
Strand Source Activities
Figures PA: Academic Standards, January 16, 1999, Grade 3, p.7,2.4.3.A (back mapped) Classroom
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Geometric Concepts: Identify
The learner will be able to identify, observe and describe geometry in the environment and real-world situations.
Strand Source Activities
Geometric Concepts PA: Academic Standards, January 16, 1999, Grade 3, p.16,2.9.3.D Classroom
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Figures: Construct/Physical Object
The learner will be able to construct geometric shapes using physical objects.
Strand Source Activities
Figures: Construct PA: Academic Standards, January 16, 1999, Grade 3, p.16,2.9.3.B Classroom
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Figures: Construct/Geoboard
The learner will be able to construct rectangles, squares and triangles on the geoboard from specified criteria.
Strand Source Activities
Figures: Construct PA: Academic Standards, January 16, 1999, Grade 3, p.16,2.9.3.C (back mapped) Classroom
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Figures: Construct/Graph Paper
The learner will be able to construct rectangles, squares and triangles on graph paper using specified criteria.
Strand Source Activities
Figures: Construct PA: Academic Standards, January 16, 1999, Grade 3, p.16,2.9.3.C (back mapped) Classroom
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Shapes: Draw
The learner will be able to create drawings of two dimensional shapes.
Strand Source Activities
Two-Dimensional Shapes PA: Academic Standards, January 16, 1999, Grade 3, p.16,2.9.3.C Classroom
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Reflection: Fold Paper
The learner will be able to illustrate reflections about a line by folding paper.
Strand Source Activities
Reflections PA: Academic Standards, January 16, 1999, Grade 3, p.16,2.9.3.G (back mapped) Classroom
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Symmetry: Recognize
The learner will be able to recognize symmetry in nature.
Strand Source Activities
Symmetry PA: Academic Standards, January 16, 1999, Grade 3, p.16,2.9.3.F (back mapped) Classroom
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Symmetry: Symmetrical Lines
The learner will be able to identify lines of symmetry in figures.
Strand Source Activities
Symmetry PA: Academic Standards, January 16, 1999, Grade 3, p.16,2.9.3.E Classroom
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Symmetry: Drawing Lines
The learner will be able to draw lines of symmetry in figures.
Strand Source Activities
Symmetry PA: Academic Standards, January 16, 1999, Grade 3, p.16,2.9.3.E (back mapped) Classroom
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Combine/Partition: Predict
The learner will be able to forecast the outcome of combining or partitioning geometric figures.
Strand Source Activities
Combine/Partition/Transform PA: Academic Standards, January 16, 1999, Grade 3, p.16,2.9.3.I (back mapped) Classroom
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Angles: Right
The learner will be able to study right angle concepts, create right angles, and find right angles within the classroom and at home, including folding paper to make square corners, identifying the square corners as right angles, transferring this observation to another medium by drawing square corners or right angles, and discussing angles which are greater than or less than right angles.
Strand Source Activities
Lines/Angles/Polygons National Council of Teachers of Mathematics (NCTM), March, 1989, Fourth Grade