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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 Q4

Algebraic Concepts
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 Master NM: Content Standards, 2002, Grade 4, pg 9: ALG.2
  
Expressions: Write/Simplify
The learner will be able to apply and interpret variables, math symbols, and properties in the writing and simplification of expressions and sentences.
Strand Scope Source
Expressions Reinforce NM: Content Standards, 2002, Grade 4, pg 8: ALG.4
  
Formulas: Apply/Interpret
The learner will be able to apply and interpret formulas to determine answers to questions concerning quantities and their relationships.
Strand Scope Source
Formulas Reinforce NM: Content Standards, 2002, Grade 4, pg 8: ALG.4, pg 10: ALG.3
  
Algebra: Comprehend/Applications
The learner will be able to comprehend algebraic applications.
Strand Scope Source
Algebraic Concepts Reinforce NM: Content Standards, 2002, Grade 4, ALG.Standard
  
Rate: Recognize/Explain Change
The learner will be able to recognize and explain scenarios with constant or varying rates of change and make comparisons of them.
Strand Scope Source
Rates Reinforce NM: Content Standards, 2002, Grade 4, pg 10: ALG.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 Master 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 Reinforce 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 Reinforce 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 Reinforce 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 Reinforce 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 Master 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 Master 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 Master NM: Content Standards, 2002, Grade 4, pg 5: NO.2
  
Formulas: Create/Simple
The learner will be able to create simple formulas to investigate quantities and their relationships.
Strand Scope Source
Formulas Reinforce NM: Content Standards, 2002, Grade 4, pg 9: ALG.5
  
Algebraic Concepts: Comprehend
The learner will be able to comprehend algebraic ideas.
Strand Scope Source
Algebraic Concepts Reinforce NM: Content Standards, 2002, Grade 4, ALG.Standard
  
Variables: Recognize/Symbols/Letters
The learner will be able to recognize symbols and letters that represent a variable as an unknown quantity.
Strand Scope Source
Variable Reinforce NM: Content Standards, 2002, Grade 4, pg 9: ALG.1
  
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
  
Symbols: Apply/Letters/Boxes
The learner will be able to apply letters, boxes, or other symbols to illustrate any number in elementary expressions or equations.
Strand Scope Source
Symbols Develop NM: Content Standards, 2002, Grade 4, pg 8: ALG.4
  
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Decimals
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 Reinforce 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 Master 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 Reinforce 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 Reinforce NM: Content Standards, 2002, Grade 4, pg 3: NO.2
  
Add/Subtract Fractions
The learner will be able to demonstrate an ability to add and/or subtract fractions that do not have the same denominators.
Strand Scope Source
Add/Subtract Fractions Develop NM: Content Standards, 2002, Grade 4, pg 3: NO.3
  
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Geometry
Vocabulary: Develop
The learner will be able to develop vocabulary to explain the characteristics of plane and solid shapes.
Strand Scope Source
Figures: Vocabulary Develop NM: Content Standards, 2002, Grade 4, pg 12: GEO.1
  
Solids: Visualize/Explain/Model
The learner will be able to visualize, explain, and model geometric solids according to the number of faces, edges, and vertices.
Strand Scope Source
Three-Dimensional Solids Develop NM: Content Standards, 2002, Grade 4, pg 12: GEO.2
  
Symmetry: Create/Rotational
The learner will be able to create and explain rotational designs using the vocabulary of transformational symmetry.
Strand Scope Source
Transformations Reinforce 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 Develop NM: Content Standards, 2002, Grade 4, pg 13: GEO.Benchmark
  
Characteristics: Compare/2D/3D
The learner will be able to compare characteristics of two- and three-dimensional figures.
Strand Scope Source
Figures: Attributes Develop NM: Content Standards, 2002, Grade 4, pg 12: GEO.1
  
Figures: Draw/Objects
The learner will be able to draw geometric objects.
Strand Scope Source
Figures: Construct Master 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 Master 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 Master 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 Master NM: Content Standards, 2002, Grade 4, pg 12: GEO.1
  
Solids: Recognize/Attributes
The learner will be able to recognize the attributes of three-dimensional solids.
Strand Scope Source
Three-Dimensional Solids Reinforce NM: Content Standards, 2002, Grade 4, pg 12: GEO.1
  
Solids: Classify by Properties
The learner will be able to classify three-dimensional figures using their properties.
Strand Scope Source
Three-Dimensional Solids Reinforce NM: Content Standards, 2002, Grade 4, pg 12: GEO.2
  
Solids: Study/Characteristics
The learner will be able to study the characteristics of three-dimensional solids.
Strand Scope Source
Three-Dimensional Solids Reinforce NM: Content Standards, 2002, Grade 4, pg 11: GEO.Benchmark, pg 12: GEO.1
  
Similarity/Congruence: Identify
The learner will be able to identify figures that are similar and/or congruent.
Strand Scope Source
Congruence/Similarity/Symmetry Reinforce 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 Reinforce NM: Content Standards, 2002, Grade 4, pg 12: GEO.1
  
Angles: Measure/Appropriate Tools
The learner will be able to find angle measures using appropriate tools.
Strand Scope Source
Angles Develop NM: Content Standards, 2002, Grade 4, pg 18: MEAS.6
  
Transformation: Explain
The learner will be able to explain the motion or series of motions that are necessary to match two congruent shapes.
Strand Scope Source
Transformations Develop NM: Content Standards, 2002, Grade 4, pg 14: GEO.2
  
Transformations: Apply
The learner will be able to apply transformations to study mathematical situations.
Strand Scope Source
Transformations Develop NM: Content Standards, 2002, Grade 4, pg 14: GEO.Benchmark
  
Geometric Concepts: Comprehend
The learner will be able to comprehend geometric applications.
Strand Scope Source
Geometric Concepts Reinforce 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 Reinforce 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 Master NM: Content Standards, 2002, Grade 4, pg 14: GEO.Benchmark
  
Position: Location/Movement
The learner will be able to use geometric language to explain location and movement.
Strand Scope Source
Positions Reinforce 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 Reinforce NM: Content Standards, 2002, Grade 4, pg 15: GEO.Benchmark
  
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Functions
Functions: Understand
The learner will be able to understand functions.
Strand Scope Source
Functions Reinforce NM: Content Standards, 2002, Grade 4, pg 7: ALG.Benchmark
  
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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 Reinforce 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 Reinforce NM: Content Standards, 2002, Grade 4, pg 16: MEAS.Benchmark
  
Measurement: Comprehend/Systems
The learner will be able to comprehend measurement systems and applications.
Strand Scope Source
Measurement: Application Master NM: Content Standards, 2002, Grade 4, MEAS.Standard
  
Area of a Rectangle: Triangles
The learner will be able to determine the area of rectangles, related triangles, and parallelograms.
Strand Scope Source
Area of a Rectangle Introduce NM: Content Standards, 2002, Grade 4, pg 18: MEAS.2
  
Formulas: Create/Understand/Apply
The learner will be able to create, understand, and apply formulas to determine the area of rectangles and related triangles and parallelograms.
Strand Scope Source
Formulas Introduce NM: Content Standards, 2002, Grade 4, pg 17: MEAS.5
  
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 Master NM: Content Standards, 2002, Grade 4, pg 18: MEAS.3
  
Units: Familiarity/Customary
The learner will be able to gain familiarity with standard units of measure in the customary system.
Strand Scope Source
Units Master 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 Reinforce NM: Content Standards, 2002, Grade 4, pg 17: MEAS.2
  
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 Reinforce 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 Master 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 Master 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 Reinforce NM: Content Standards, 2002, Grade 4, pg 17: MEAS.4
  
Distance: Strategies
The learner will be able to use many different strategies to measure distances between locations on a grid.
Strand Scope Source
Distance/Rate/Time/Acceleration Develop NM: Content Standards, 2002, Grade 4, pg 13: GEO.3
  
Angle Measure: Recognize/Turns
The learner will be able to recognize common angle measurements of turns.
Strand Scope Source
Angle Measurement Develop 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 Develop 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 Develop NM: Content Standards, 2002, Grade 4, pg 17: MEAS.3
  
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Number Theory
Equivalent Forms: Decimal/Fraction
The learner will be able to recognize common fraction and decimal equivalents.
Strand Scope Source
Equivalent Forms Develop 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 Reinforce 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 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 Reinforce 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 Master 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 Master NM: Content Standards, 2002, Grade 4, pg 1: NO.Benchmark
  
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Numeration
Number Lines: Recognize/Negative
The learner will be able to recognize numbers less than 0 by extending the number line and applying negative numbers using familiar applications.
Strand Scope Source
Number Lines Develop NM: Content Standards, 2002, Grade 4, pg 2: NO.1, pg 3: NO.3
  
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 Master NM: Content Standards, 2002, Grade 4, pg 8: ALG.1
  
Patterns: Explain/Division
The learner will be able to explain division patterns.
Strand Scope Source
Patterns Master 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 Master 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 Reinforce 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 Master 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 Master NM: Content Standards, 2002, Grade 4, pg 11: ALG.4
  
Numeration: Show Understanding
The learner will be able to show an understanding of number concepts.
Strand Scope Source
Numeration Master NM: Content Standards, 2002, Grade 4, NO.Standard
  
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Probability/Statistics
Mean/Median/Mode/Range: Apply
The learner will be able to apply the concepts of median, mode, maximum, minimum, and range and formulate conclusions about a set of data.
Strand Scope Source
Average/Median/Mode/Range Develop NM: Content Standards, 2002, Grade 4, pg 20: DAP.2
  
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 Master 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 Master 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 Master 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 Reinforce 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 Reinforce 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 Develop 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 Develop 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 Develop 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 Master 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 Master NM: Content Standards, 2002, Grade 4, pg 20: DAP.2
  
Outcomes: Represent/Possible
The learner will be able to illustrate the possible outcomes for a simple probability scenario in an organized manner.
Strand Scope Source
Outcomes Develop NM: Content Standards, 2002, Grade 4, pg 22: DAP.1
  
Statistical Methods: Choose
The learner will be able to choose suitable statistical methods to analyze data.
Strand Scope Source
Statistics Reinforce NM: Content Standards, 2002, Grade 4, pg 20: DAP.Benchmark
  
Combinations: List
The learner will be able to list the possible combinations of three sets of items.
Strand Scope Source
Combinations Develop NM: Content Standards, 2002, Grade 4, pg 22: DAP.2
  
Data Analysis: Explain/Data Sets
The learner will be able to explain related data sets.
Strand Scope Source
Data Analysis Develop NM: Content Standards, 2002, Grade 4, pg 20: DAP.1
  
Likely/Unlikely/Impossible: Explain
The learner will be able to explain events as "likely", "unlikely", or "impossible".
Strand Scope Source
Impossible/Certain Events Develop NM: Content Standards, 2002, Grade 4, pg 22: 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 Master 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 Master 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 Master NM: Content Standards, 2002, Grade 4, pg 6: NO.1
  
Operations: Meaning
The learner will be able to understand the meaning of operations.
Strand Scope Source
Operations Master NM: Content Standards, 2002, Grade 4, pg 4: NO.Benchmark
  
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