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Introduction
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© 2008 by Tularosa Municipal School District: and Scantron Corporation.
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Tularosa Municipal School District:
Tularosa Grade 4
Mathematics - Grade 4 Q2

Algebraic Concepts

Properties: Illustrate
The learner will be able to illustrate the commutative, associative, identity, and zero properties of operations on whole numbers.
Strand Scope Source
Properties Reinforce NM: Content Standards, 2002, Grade 4, pg 5: NO.4
  
Properties: Investigate
The learner will be able to investigate the uses of properties, including the commutative, distributive, and associative properties, in the computation of whole numbers.
Strand Scope Source
Properties Reinforce NM: Content Standards, 2002, Grade 4, pg 9: ALG.2
  
Algorithms: Demonstrate Understanding
The learner will be able to show an understanding of, and an ability to apply standard algorithms for the addition and subtraction of multiple digit numbers.
Strand Scope Source
Algorithms Reinforce NM: Content Standards, 2002, Grade 4, pg 5: NO.1
  
Algorithms: Demonstrate Understanding
The learner will be able to show an understanding of, and an ability to apply standard algorithms for, the multiplication of a multi-digit number by a two-digit number and for the division of a multi-digit number by a one-digit number.
Strand Scope Source
Algorithms Reinforce NM: Content Standards, 2002, Grade 4, pg 5: NO.1
  
Computation: Estimate/Strategies
The learner will be able to use many different strategies to estimate the results of computations with whole numbers, and judge the reasonableness.
Strand Scope Source
Computation Reinforce NM: Content Standards, 2002, Grade 4, pg 7: NO.3
  
Variables: Find/Value
The learner will be able to find the value of variables in simple equations.
Strand Scope Source
Properties Introduce NM: Content Standards, 2002, Grade 4, pg 9: ALG.4
  
Properties: Illustrate/Distributive
The learner will be able to illustrate the idea of distributively of multiplication over addition and subtraction.
Strand Scope Source
Properties Introduce NM: Content Standards, 2002, Grade 4, pg 5: NO.5
  
Expressions: Evaluate
The learner will be able to determine the value of mathematical expressions that involve the use of parentheses.
Strand Scope Source
Expressions Introduce NM: Content Standards, 2002, Grade 4, pg 8: ALG.4
  
Expressions: Interpret
The learner will be able to interpret expressions that involve the use of parentheses.
Strand Scope Source
Expressions Introduce NM: Content Standards, 2002, Grade 4, pg 8: ALG.4
  
Operations: Comprehend/Mathematical
The learner will be able to comprehend mathematical operations.
Strand Scope Source
Operations Develop NM: Content Standards, 2002, Grade 4, NO.Standard
  
Operations: Relationships
The learner will be able to comprehend the relationships among operations.
Strand Scope Source
Operations Develop NM: Content Standards, 2002, Grade 4, pg 4: NO.Benchmark
  
Operations: Select/Appropriate
The learner will be able to select appropriate operation(s) for the given problem situation.
Strand Scope Source
Operations Develop NM: Content Standards, 2002, Grade 4, pg 5: NO.2
  
Computation: Fluency
The learner will be able to compute fluently.
Strand Scope Source
Computation Master NM: Content Standards, 2002, Grade 4, pg 6: NO.Benchmark
  
Problem Solving: Operations
The learner will be able to apply operations (addition, subtraction, multiplication, and division) to problem solving situations.
Strand Scope Source
Problem Solving Reinforce NM: Content Standards, 2002, Grade 4, pg 5: NO.2
  
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Decimals

Addition/Subtraction Decimals
The learner will be able to extend the application of whole numbers to the addition and subtraction of simple decimals (positive numbers to two places).
Strand Scope Source
Add/Subtract Decimals Reinforce NM: Content Standards, 2002, Grade 4, pg 5: NO.3
  
Estimation: Computations
The learner will be able to estimate the solutions to computations with decimals using a variety of methods.
Strand Scope Source
Reasoning/Estimation Introduce NM: Content Standards, 2002, Grade 4, pg 7: NO.4
  
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Fractions

Fraction Parts: Recognize
The learner will be able to recognize fractions as parts of unit wholes, parts of a group, and as locations on a number line.
Strand Scope Source
Fraction Parts Develop NM: Content Standards, 2002, Grade 4, pg 3: NO.2
  
Fractions: Identify/Interpretations
The learner will be able to identify the various interpretations of fractions, including division of whole numbers by whole numbers, ratio, equivalence, ordering of fractions, and fractions as parts of a whole or parts of a set.
Strand Scope Source
Fractions Introduce NM: Content Standards, 2002, Grade 4, pg 3: NO.2
  
Compare/Order Fractions: Models
The learner will be able to compare and order common fractions using pictorial models and various other methods.
Strand Scope Source
Compare Fractions Introduce NM: Content Standards, 2002, Grade 4, pg 3: NO.2
  
Add/Subtract Fractions: Like Denominator
The learner will be able to display proficiency in the addition and subtraction of fractions possessing like denominators.
Strand Scope Source
Add/Subtract Fractions Develop NM: Content Standards, 2002, Grade 4, pg 3: NO.3
  
Estimation: Computations
The learner will be able to estimate the solutions to computations with fractions using a variety of methods.
Strand Scope Source
Reasoning/Estimation Develop NM: Content Standards, 2002, Grade 4, pg 7: NO.4
  
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Functions

Functions: Understand
The learner will be able to understand functions.
Strand Scope Source
Functions Introduce NM: Content Standards, 2002, Grade 4, pg 7: ALG.Benchmark
  
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Geometry

Symmetry: Create/Rotational
The learner will be able to create and explain rotational designs using the vocabulary of transformational symmetry.
Strand Scope Source
Transformations Introduce NM: Content Standards, 2002, Grade 4, pg 14: GEO.1
  
Spatial Relationships: Location
The learner will be able to specify locations and explain spatial relationships by applying coordinate geometry and various other representational systems.
Strand Scope Source
Spatial Relationships Introduce NM: Content Standards, 2002, Grade 4, pg 13: GEO.Benchmark
  
Figures: Draw/Objects
The learner will be able to draw geometric objects.
Strand Scope Source
Figures: Construct Develop NM: Content Standards, 2002, Grade 4, pg 12: GEO.1
  
Figures: Build
The learner will be able to build geometric objects.
Strand Scope Source
Figures: Construct Develop NM: Content Standards, 2002, Grade 4, pg 12: GEO.1
  
Figures: Create/Objects
The learner will be able to create geometric objects.
Strand Scope Source
Figures: Construct Develop NM: Content Standards, 2002, Grade 4, pg 12: GEO.1
  
Figures: Describe/Objects
The learner will be able to describe geometric objects.
Strand Scope Source
Figures: Describe Develop NM: Content Standards, 2002, Grade 4, pg 12: GEO.1
  
Solids: Study/Characteristics
The learner will be able to study the characteristics of three-dimensional solids.
Strand Scope Source
Three-Dimensional Solids Introduce NM: Content Standards, 2002, Grade 4, pg 11: GEO.Benchmark, pg 12: GEO.1
  
Shapes: Attributes
The learner will be able to identify attributes of two-dimensional shapes.
Strand Scope Source
Two-Dimensional Shapes Reinforce NM: Content Standards, 2002, Grade 4, pg 12: GEO.1
  
Shapes: Classify by Properties
The learner will be able to classify two-dimensional shapes by their properties.
Strand Scope Source
Two-Dimensional Shapes Reinforce NM: Content Standards, 2002, Grade 4, pg 12: GEO.2
  
Similarity/Congruence: Identify
The learner will be able to identify figures that are similar and/or congruent.
Strand Scope Source
Congruence/Similarity/Symmetry Introduce NM: Content Standards, 2002, Grade 4, pg 12: GEO.1
  
Congruent/Similar: Compare/Figures
The learner will be able to make comparisons of figures congruent and similar figures.
Strand Scope Source
Congruence/Similarity/Symmetry Introduce NM: Content Standards, 2002, Grade 4, pg 12: GEO.1
  
Geometric Concepts: Comprehend
The learner will be able to comprehend geometric applications.
Strand Scope Source
Geometric Concepts Introduce NM: Content Standards, 2002, Grade 4, GEO.Standard
  
Reasoning: Spatial
The learner will be able to use spatial reasoning to solve problems.
Strand Scope Source
Reasoning Develop NM: Content Standards, 2002, Grade 4, pg 15: GEO.Benchmark
  
Symmetry: Apply
The learner will be able to apply symmetry to study mathematical scenarios.
Strand Scope Source
Symmetry Develop NM: Content Standards, 2002, Grade 4, pg 14: GEO.Benchmark
  
Positions: Location/Movement
The learner will be able to use everyday language to explain location and movement.
Strand Scope Source
Positions Reinforce NM: Content Standards, 2002, Grade 4, pg 13: GEO.1
  
Position: Location/Movement
The learner will be able to use geometric language to explain location and movement.
Strand Scope Source
Positions Introduce NM: Content Standards, 2002, Grade 4, pg 13: GEO.1
  
Problem Solving: Geometric Models
The learner will be able to obtain solutions to problem situations with geometric models.
Strand Scope Source
Problem Solving Introduce NM: Content Standards, 2002, Grade 4, pg 15: GEO.Benchmark
  
Parallel Lines: Identify
The learner will be able to identify parallel lines.
Strand Scope Source
Lines: Parallel/Perpendicular Reinforce NM: Content Standards, 2002, Grade 4, pg 12: GEO.1
  
Perpendicular Lines: Identify
The learner will be able to identify perpendicular lines.
Strand Scope Source
Lines: Parallel/Perpendicular Reinforce NM: Content Standards, 2002, Grade 4, pg 12: GEO.1
  
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Mathematics Processes

Relationships: State/Equations
The learner will be able to state mathematical relationships by applying equations.
Strand Scope Source
Relationships Develop NM: Content Standards, 2002, Grade 4, pg 8: ALG.3, pg 9: ALG.3
  
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Measurement

Measurement Processes: Comprehend
The learner will be able to comprehend the measurable characteristics of objects and the units, systems, and processes of measurement.
Strand Scope Source
Measurement Processes Develop NM: Content Standards, 2002, Grade 4, pg 16: MEAS.Benchmark
  
Area/Perimeter: Approximate
The learner will be able to approximate perimeters, areas of rectangles, triangles, and irregular figures.
Strand Scope Source
Perimeter/Area/Volume Reinforce NM: Content Standards, 2002, Grade 4, pg 18: MEAS.1
  
Perimeter/Area: Problem Solving
The learner will be able to obtain solutions to problems involving perimeter and area of rectangles and squares using models and formulas.
Strand Scope Source
Perimeter/Area/Volume Reinforce NM: Content Standards, 2002, Grade 4, pg 16: GEO.3
  
Measurement: Comprehend/Systems
The learner will be able to comprehend measurement systems and applications.
Strand Scope Source
Measurement: Application Develop NM: Content Standards, 2002, Grade 4, MEAS.Standard
  
Tools/Units: Approximate/Measure/Solve
The learner will be able to approximate, measure, and obtain solutions to problems involving length, area, mass, time, and temperature using suitable standard units and tools.
Strand Scope Source
Tools/Instruments Reinforce NM: Content Standards, 2002, Grade 4, pg 18: MEAS.3
  
Measurement Processes: Apply/Methods
The learner will be able to use appropriate methods to determine measurements.
Strand Scope Source
Measurement Processes Reinforce NM: Content Standards, 2002, Grade 4, pg 18: MEAS.Benchmark
  
Units: Familiarity/Customary
The learner will be able to gain familiarity with standard units of measure in the customary system.
Strand Scope Source
Units Develop NM: Content Standards, 2002, Grade 4, pg 17: MEAS.2
  
Units: Familiarity/Metric
The learner will be able to gain familiarity with standard units of measure in the metric system.
Strand Scope Source
Units Develop NM: Content Standards, 2002, Grade 4, pg 17: MEAS.2
  
Units: Need/Standard
The learner will be able to understand the necessity of standard units of measure.
Strand Scope Source
Units Master NM: Content Standards, 2002, Grade 4, pg 17: MEAS.2
  
Time: Elapsed
The learner will be able to calculate the amount of time which has elapsed between two given times.
Strand Scope Source
Time Master NM: Content Standards, 2002, Grade 4, pg 18: MEAS.5
  
Time: Schedules
The learner will be able to interpret a time schedule.
Strand Scope Source
Time Master NM: Content Standards, 2002, Grade 4, pg 18: MEAS.5
  
Time: Create/Schedule
The learner will be able to create a schedule.
Strand Scope Source
Time Reinforce NM: Content Standards, 2002, Grade 4, pg 18: MEAS.5
  
Perimeter: Choose/Units
The learner will be able to choose the appropriate measurement unit to measure perimeter.
Strand Scope Source
Perimeter Reinforce NM: Content Standards, 2002, Grade 4, pg 17: MEAS.1
  
Area: Square Units
The learner will be able to determine the area measurement of rectangular shapes with the application of suitable square units.
Strand Scope Source
Area Reinforce NM: Content Standards, 2002, Grade 4, pg 16: GEO.3
  
Perimeter/Area: Identify
The learner will be able to identify that rectangles possessing identical areas may have different perimeters.
Strand Scope Source
Perimeter/Area/Volume Introduce NM: Content Standards, 2002, Grade 4, pg 16: GEO.3
  
Perimeter/Area: Investigate/Relationship
The learner will be able to investigate the relationship between perimeter and area.
Strand Scope Source
Perimeter/Area/Volume Develop NM: Content Standards, 2002, Grade 4, pg 16: GEO.3
  
Formula: Use/Measurement
The learner will be able to use appropriate formulas for measurement problem situations.
Strand Scope Source
Formulas Develop NM: Content Standards, 2002, Grade 4, pg 18: MEAS.Benchmark
  
Formula: Surface Area/Rectangular Solid
The learner will be able to develop the formula to find the surface area of rectangular solids.
Strand Scope Source
Formulas Develop NM: Content Standards, 2002, Grade 4, pg 17: MEAS.4
  
Angle Measure: Recognize/Turns
The learner will be able to recognize common angle measurements of turns.
Strand Scope Source
Angle Measurement Introduce NM: Content Standards, 2002, Grade 4, pg 18: MEAS.4
  
Angle Measurement: Choose/Units
The learner will be able to choose appropriate units for angle measure.
Strand Scope Source
Angle Measurement Introduce NM: Content Standards, 2002, Grade 4, pg 17: MEAS.1
  
Measurement: Relationships
The learner will be able to recognize the relationship that exists between the size of the unit and the number of units required in a measurement.
Strand Scope Source
Measurement: Relationships Introduce NM: Content Standards, 2002, Grade 4, pg 17: MEAS.3
  
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Number Theory

Classify Numbers: Identify/Problems
The learner will be able to identify classes of numbers and use these concepts in problem solving scenarios.
Strand Scope Source
Classify Numbers Reinforce NM: Content Standards, 2002, Grade 4, pg 3: NO.4
  
Equivalent Forms: Identify
The learner will be able to identify equivalent representations for the same number through decomposing and composing numbers.
Strand Scope Source
Equivalent Forms Reinforce NM: Content Standards, 2002, Grade 4, pg 2: NO.1
  
Equivalent Forms: Fraction/Decimal
The learner will be able to create equivalent decimal representations of common fractions.
Strand Scope Source
Equivalent Forms Reinforce NM: Content Standards, 2002, Grade 4, pg 3: NO.3
  
Proportions: Solve Problems/Unit Pricing
The learner will be able to solve proportional relationship problems involving unit pricing.
Strand Scope Source
Ratio/Proportion Develop NM: Content Standards, 2002, Grade 4, pg 10: ALG.1
  
Proportions: Solve Problems/Maps
The learner will be able to solve proportional relationship problems involving map interpretation.
Strand Scope Source
Ratio/Proportion Develop NM: Content Standards, 2002, Grade 4, pg 10: ALG.1
  
Proportional Relationship: Problem Solve
The learner will be able to obtain solutions to problems that involve proportional relationships.
Strand Scope Source
Ratio/Proportion Reinforce NM: Content Standards, 2002, Grade 4, pg 10: ALG.1
  
Equivalence Relationships: Models
The learner will be able to illustrate the relationship of whole numbers and decimals (to the hundredths place) to simple fractions using models.
Strand Scope Source
Equivalence Introduce NM: Content Standards, 2002, Grade 4, pg 3: NO.2
  
Number Forms: Understand/Relationships
The learner will be able to understand number relationships.
Strand Scope Source
Number Forms: Relationships Develop NM: Content Standards, 2002, Grade 4, pg 1: NO.Benchmark
  
Number Forms: Represent/Understand
The learner will be able to understand the various ways of representing numbers.
Strand Scope Source
Number Forms: Representing Develop NM: Content Standards, 2002, Grade 4, pg 1: NO.Benchmark
  
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Numeration

Place Value: Comprehend
The learner will be able to comprehend the place value structure of the base-ten number system through reading, modeling, writing, and interpreting whole numbers up to 100,000.
Strand Scope Source
Comparing/Ordering Reinforce NM: Content Standards, 2002, Grade 4, pg 2: NO.1
  
Patterns: Represent/Study
The learner will be able to represent and study patterns and basic functions with words, tables, and graphs.
Strand Scope Source
Patterns: Represent Develop NM: Content Standards, 2002, Grade 4, pg 8: ALG.1
  
Patterns: Number/Describe
The learner will be able to describe number patterns.
Strand Scope Source
Patterns: Number Reinforce NM: Content Standards, 2002, Grade 4, pg 8: ALG.2
  
Patterns: Explain/Multiplication
The learner will be able to explain patterns in multiplication.
Strand Scope Source
Patterns: Number Reinforce NM: Content Standards, 2002, Grade 4, pg 8: ALG.2
  
Patterns: Number/Create
The learner will be able to create patterns using numbers.
Strand Scope Source
Patterns: Number Reinforce NM: Content Standards, 2002, Grade 4, pg 8: ALG.2
  
Pattern: Construct/Multiplication
The learner will be able to construct number patterns using multiplication.
Strand Scope Source
Patterns: Number Reinforce NM: Content Standards, 2002, Grade 4, pg 8: ALG.2
  
Pattern: Geometric/Describe
The learner will be able to describe a geometric pattern.
Strand Scope Source
Patterns: Geometric Reinforce NM: Content Standards, 2002, Grade 4, pg 8: ALG.2
  
Patterns: Demonstrate/Understanding
The learner will be able to illustrate an understanding of patterns.
Strand Scope Source
Patterns Reinforce NM: Content Standards, 2002, Grade 4, pg 7: ALG.Benchmark
  
Patterns: Explain/Division
The learner will be able to explain division patterns.
Strand Scope Source
Patterns Develop NM: Content Standards, 2002, Grade 4, pg 8: ALG.2
  
Patterns: Determine
The learner will be able to determine patterns using data tables.
Strand Scope Source
Patterns Develop NM: Content Standards, 2002, Grade 4, pg 11: ALG.3
  
Patterns: Study
The learner will be able to study patterns using data tables.
Strand Scope Source
Patterns Introduce NM: Content Standards, 2002, Grade 4, pg 11: ALG.3
  
Change: Explain/Real World
The learner will be able to explain varying rates of change in real world situations.
Strand Scope Source
Change Develop NM: Content Standards, 2002, Grade 4, pg 11: ALG.4
  
Change: Illustrate/Real World
The learner will be able to illustrate varying rates of change in real world situations.
Strand Scope Source
Change Develop NM: Content Standards, 2002, Grade 4, pg 11: ALG.4
  
Compare/Order: Numbers
The learner will be able to compare and order numbers.
Strand Scope Source
Comparing/Ordering Reinforce NM: Content Standards, 2002, Grade 4, pg 2: NO.1
  
Numeration: Show Understanding
The learner will be able to show an understanding of number concepts.
Strand Scope Source
Numeration Develop NM: Content Standards, 2002, Grade 4, NO.Standard
  
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Probability/Statistics

Data: Organize/Represent/Interpret
The learner will be able to organize, display, and interpret data (numerical/categorical) and relate results in a clear manner.
Strand Scope Source
Data Develop NM: Content Standards, 2002, Grade 4, pg 20: DAP.1
  
Data: Questions/Answer
The learner will be able to create questions and gather, organize, and illustrate data to answer those questions.
Strand Scope Source
Data Develop NM: Content Standards, 2002, Grade 4, pg 19: DAP.Benchmark
  
Predictions: Propose/Justify
The learner will be able to draw and justify conclusions and predictions based on data.
Strand Scope Source
Predictions Develop NM: Content Standards, 2002, Grade 4, pg 21: DAP.1
  
Data Analysis: Design/Investigations
The learner will be able to design suitable data investigations.
Strand Scope Source
Data Analysis Develop NM: Content Standards, 2002, Grade 4, pg 20: DAP.2
  
Data Analysis: Inferences
The learner will be able to create and evaluate inferences and predictions from data.
Strand Scope Source
Data Analysis Develop NM: Content Standards, 2002, Grade 4, pg 21: DAP.Benchmark
  
Probability: Comprehend/Concept
The learner will be able to comprehend the basic concept of probability.
Strand Scope Source
Probability Introduce NM: Content Standards, 2002, Grade 4, pg 22: DAP.Benchmark
  
Probability: Apply/Basic
The learner will be able to apply the basic concepts of probability.
Strand Scope Source
Probability Introduce NM: Content Standards, 2002, Grade 4, pg 22: DAP.Benchmark
  
Probability: Quantify/Simple
The learner will be able to quantify simple probability scenarios.
Strand Scope Source
Probability Introduce NM: Content Standards, 2002, Grade 4, pg 22: DAP.1
  
Data: Table/Represent
The learner will be able to use a table to represent a group of data.
Strand Scope Source
Data Develop NM: Content Standards, 2002, Grade 4, pg 20: DAP.2
  
Data: Graph/Represent
The learner will be able to use a graph to represent a group of data.
Strand Scope Source
Data Develop NM: Content Standards, 2002, Grade 4, pg 20: DAP.2
  
Statistical Methods: Choose
The learner will be able to choose suitable statistical methods to analyze data.
Strand Scope Source
Statistics Develop NM: Content Standards, 2002, Grade 4, pg 20: DAP.Benchmark
  
Data Analysis: Explain/Data Sets
The learner will be able to explain related data sets.
Strand Scope Source
Data Analysis Introduce NM: Content Standards, 2002, Grade 4, pg 20: DAP.1
  
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Problem Solving

Represent Problems: Graphs/Tables
The learner will be able to represent problem situations and apply graphs, tables, pictures, and equations to formulate conclusions.
Strand Scope Source
Represent Problems Develop NM: Content Standards, 2002, Grade 4, pg 10: ALG.2
  
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Real Numbers and the Coordinate Plane

Coordinate Plane: Graph/Locate
The learner will be able to apply ordered pairs to graph, locate, recognize points, and explain paths in quadrant one of the coordinate plane.
Strand Scope Source
Coordinate Geometry Develop NM: Content Standards, 2002, Grade 4, pg 13: GEO.2
  
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Whole Numbers

Estimation Strategies: Illustrate
The learner will be able to illustrate the multiplication facts and related division facts (through 12 X 12), and apply these to solve problems mentally and compute associated problems.
Strand Scope Source
Multiply/Divide Whole Numbers Reinforce NM: Content Standards, 2002, Grade 4, pg 6: NO.1
  
Multiply 2 Numbers: Two-Digits
The learner will be able to multiply up to two double-digit numbers accurately.
Strand Scope Source
Multiply Whole Numbers Reinforce NM: Content Standards, 2002, Grade 4, pg 7: NO.2
  
Operations: Meaning
The learner will be able to understand the meaning of operations.
Strand Scope Source
Operations Develop NM: Content Standards, 2002, Grade 4, pg 4: NO.Benchmark
  
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