School City of Hobart Mathematics The ISTEP+ assessment measures the academic performance of students in Mathematics. IN: Grade 3 The ISTEP+ assesses the academic performance of students in Mathematics at grade 3. |
Algebraic Concepts |
The Algebraic Concepts Unit includes Competencies/Objectives which focus on algebraic equations and operations. Students explore the symbolic nature of algebraic concepts by identifying and extending patterns in algebra, by following algebraic procedures, and by proving theorems with properties. |
Number Sentence: Select/Symbols
The learner will be able to select suitable symbols for operations and relations in order to make a number sentence true.
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Properties: Multiplication/Associative
The learner will be able to understand the associative property of multiplication.
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Properties: Multiplication/Commutative
The learner will be able to understand the commutative property of multiplication.
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Properties: Apply/Associative
The learner will be able to apply the associative property of multiplication.
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Properties: Apply/Commutative
The learner will be able to apply the commutative property of multiplication.
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Inverse Operations: Multiply/Divide
The learner will be able to comprehend the inverse relationship among multiplication and division facts.
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Inverse Operations: Multiply/Divide
The learner will be able to apply the inverse relationship between multiplication and division.
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Computation: Precision
The learner will be able to perform precise computations.
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Solve Equations: Numeric Problems
The learner will be able to obtain solutions to numeric equation problems.
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Data Interpretation |
The Data Interpretation Unit includes Competencies/Objectives which focus on the study and use of graphical forms. Students collect and classify data, organize and display data, use logical reasoning, and problem solving. |
Circle Graphs: Interpret/Answer Question
The learner will be able to interpret data shown in a circle graph and answer questions regarding the situation.
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Decimals |
The Decimals Unit includes Competencies/Objectives which focus on number sense and operations with decimals. Students compare and compute decimals, study money, estimate decimals, problem solve using decimals, and reason using decimals. |
Decimals: Name/Write
The learner will be able to name and write a decimal to illustrate tenths and hundredths when given a set of objects or a picture.
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Decimals: Illustrate/Fraction
The learner will be able to illustrate a fraction using a place-value model when given a decimal for tenths.
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Decimals: Develop/Sense
The learner will be able to develop a sense of decimals.
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Fractions |
The Fractions Unit includes Competencies/Objectives which focus on number sense and operations with fractions. Students compare and order fractions, study fraction parts, estimate with fractions, reason using fractions, and problem solve using fractions. |
Add/Subtract Fractions: Simple
The learner will be able to perform the addition and subtraction of simple fractions with like denominators.
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Fractions: Identify/Names
The learner will be able to recognize correct names for numerators and denominators.
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Fractions: Use/Names
The learner will be able to use accurate names for numerators and denominators.
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Fractions: Develop/Sense
The learner will be able to develop a sense of fractions.
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Compare Fractions: Models/Illustrations
The learner will be able to determine which fraction is larger or smaller, given a pair of fractions, using physical models or illustrations.
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Equivalent Fractions: Illustrate
The learner will be able to illustrate equivalent fractions using equal parts.
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Functions |
The Functions Unit includes Competencies/Objectives which focus on exploring polynomial, rational, exponential, logarithmic, trigonometric, and circular functions. |
Problem Solving: Functional Relationship
The learner will be able to obtain solutions to basic problems involving functional relationships among two quantities.
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Geometry |
The Geometry Unit includes Competencies/Objectives which focus on exploring geometric concepts from multiple perspectives. Students study properties and construction of figures, proofs and theorems, history of geometry, transformations, logic, and problem solving. |
Figures: Identify/Surroundings
The learner will be able to identify geometric shapes and their properties in the surroundings and tell their location.
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Figures: Describe/Compare Attributes
The learner will be able to describe and compare the characteristics of two- and three-dimensional geometric figures and apply that knowledge to illustrate relationships and obtain problem solutions.
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Symmetry: Recognize/Draw/Lines
The learner will be able to recognize or draw lines of symmetry.
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Figures: Classify/Cubes
The learner will be able to classify cubes.
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Figures: Classify/Spheres
The learner will be able to classify spheres.
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Figures: Classify/Prisms
The learner will be able to classify prisms.
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Figures: Classify/Cylinders
The learner will be able to classify cylinders.
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Figures: Classify/Cones
The learner will be able to classify cones.
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Figures: Classify/Pyramids
The learner will be able to classify pyramids.
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Figures: Classify/Objects
The learner will be able to classify geometric objects.
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Figures: Compare/Objects
The learner will be able to make comparisons of geometric objects.
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Figures: Draw/Objects
The learner will be able to draw geometric objects.
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Figures: Identify/Objects
The learner will be able to identify geometric objects.
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Figures: Describe/Objects
The learner will be able to describe geometric objects.
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Solids: Cube
The learner will be able to identify a cube.
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Solids: Sphere
The learner will be able to identify a sphere.
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Solids: Identify/Prisms
The learner will be able to identify prisms.
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Solids: Cone
The learner will be able to identify a cone.
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Solids: Cylinder
The learner will be able to identify a cylinder.
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Three-Dimensional Solids: Components
The learner will be able to recognize the solid objects that are the components required to create a more complex solid object.
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Solids: Pyramid
The learner will be able to identify a pyramid.
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Solids: Sphere/Explain
The learner will be able to explain a sphere.
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Solids: Describe/Cylinders
The learner will be able to describe cylinders.
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Solids: Describe/Prisms
The learner will be able to describe prisms.
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Solids: Describe/Cubes
The learner will be able to describe cubes.
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Solids: Describe/Cones
The learner will be able to describe cones.
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Solids: Describe/Pyramids
The learner will be able to describe pyramids.
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Shapes: Describe
The learner will be able to describe two-dimensional shapes using the terms points, lines, and line segments.
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Line Segments: Draw
The learner will be able to draw line segments.
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Lines: Draw
The learner will be able to draw lines.
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Angles: Recognize/Right
The learner will be able to recognize right angles in shapes and objects.
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Angles: Determine Measures
The learner will be able to determine whether an angle has a measurement greater or less than a right angle.
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Reflection: Sketch
The learner will be able to sketch the mirror image of a figure.
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Congruence: Draw/Figures
The learner will be able to create a drawing of a shape that is congruent to another shape.
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Spatial Sense: Develop
The learner will be able to develop spatial sense.
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Quadrilaterals: Recognize/4-Sided
The learner will be able to recognize quadrilateral as four-sided shapes.
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Mathematics Processes |
The Mathematics Processes Unit includes Competencies/Objectives which focus on mathematical connections. Students communicate and model concepts and procedures. |
Relationships: Functional
The learner will be able to choose suitable symbols, operations, and properties to illustrate, describe, simplify, and solve elementary functional relationships.
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Relationships: Numerical
The learner will be able to choose suitable symbols, operations, and properties to illustrate, describe, simplify, and solve elementary number relationships.
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Reasoning: Develop/Abilities
The learner will be able to develop reasoning abilities.
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Mathematics as Communication
The learner will be able to state solutions clearly and logically using suitable mathematical vocabulary and notation, and support solutions with verbal and symbolic evidence.
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Communication: Comprehension
The learner will be able to communicate comprehension of mathematics.
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Modeling: Multiplication/Division
The learner will be able to model elementary problems involving multiplication and/or division.
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Measurement |
The Measurement Unit includes Competencies/Objectives which focus on measurement concepts, applications, and analysis. Students study length, area, circumference, perimeter, volume, weight, formulas, distance, calendar, money, tools, accuracy, units, constructions, patterns, and problem solving. |
Estimation: Standard/Nonstandard Units
The learner will be able to make approximations and/or actual measurements through the use of standard and/or nonstandard units of measure.
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Tools: Select/Apply
The learner will be able to select and apply suitable units and measurement tools for length, capacity, weight, temperature, time, and money.
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Length: Measure/Half-Inch
The learner will be able to determine the measure of a line segment to the nearest half-inch.
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Length: Addition
The learner will be able to perform addition of lengths with or without regrouping of inches to feet or centimeters to meters.
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Money: Write/Cent Symbol
The learner will be able to use the cent symbol to write amounts up to ninety-nine cents.
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Money: Write/Dollar Symbol
The learner will be able to use decimal notation and the dollar symbol to write amounts larger than one dollar.
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Money: Determine Value/Coins/Bills
The learner will be able to determine the value of a collection of coins and dollars.
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Money: Purchase
The learner will be able to determine if there is an adequate amount of money in order to make a purchase using play or real money.
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Temperature: Compare/Celsius/Fahrenheit
The learner will be able to make comparisons of temperatures in Celsius and Fahrenheit.
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Perimeter: Polygons
The learner will be able to find the perimeter of polygons.
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Area: Estimate/Squares
The learner will be able to estimate the area of a given surface by covering it with squares.
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Area: Determine/Squares
The learner will be able to determine the area of a given surface by covering it with squares.
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Weight: Estimate/Pounds
The learner will be able to approximate weight in pounds.
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Weight: Measure/Pounds
The learner will be able to measure weight in pounds.
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Weight: Measure/Kilograms
The learner will be able to measure weight in kilograms.
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Weight: Approximate/Kilograms
The learner will be able to approximate weight in kilograms.
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Volume: Estimate/Cubes
The learner will be able to approximate the volume of objects by counting the number of cubes necessary to fill them.
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Volume: Determine/Cubes
The learner will be able to determine the volume of objects by counting the number of cubes necessary to fill them.
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Capacity/Estimate: Quarts/Gallons/Liters
The learner will be able to estimate capacity using quarts, gallons, and liters.
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Capacity: Nearest Liter/Quart
The learner will be able to measure capacity to the nearest liter and quart.
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Capacity: Measure/Gallon
The learner will be able to measure capacity in gallons.
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Conversion: Within System
The learner will be able to perform simple conversions of units within a measurement system.
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Number Theory |
The Number Theory Unit includes Competencies/Objectives which focus on manipulating number forms and classifications. Students make connections between number forms and their real world applications. |
Place Value: Recognize/Up to 1000
The learner will be able to recognize numbers up to 1000 in different combinations of hundreds, tens, and ones.
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Place Value: Identify/Less Than 1000
The learner will be able to identify place value in whole numbers up to 1000.
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Place Value: Interpret/Less Than 1000
The learner will be able to interpret place value in whole numbers less than 1000.
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Place Value: Develop/Whole Numbers
The learner will be able to use whole numbers to develop place value concepts.
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Odd/Even: Recognize/To 1,000
The learner will be able to recognize odd and even whole numbers to one thousand.
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Odd/Even: Describe/To 1,000
The learner will be able to describe the attributes of odd and even numbers up to one thousand.
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Read Numerals: Less Than 1000
The learner will be able to read whole numbers less than 1000.
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Write Numbers: Less Than 1000
The learner will be able to write whole numbers less than 1000.
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Number Forms: Comprehend/Relationships
The learner will be able to comprehend the relationship among whole numbers, basic fractions, and decimals.
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Numeration |
The Numeration Unit includes Competencies/Objectives which focus on exploring ordinality, identifying and extending number patterns, comparing numbers, and demonstrating number relationships. |
Estimate/Problems: Add/Subtract/Whole
The learner will be able to understand and apply strategies for estimating the results of addition and subtraction problems with whole numbers.
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Quantity: Represent Relationships
The learner will be able to illustrate the relationships of quantities presented in the forms of numeric equations or expressions.
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Rounding: Less Than 1,000
The learner will be able to take any whole number that is less than 1000 and round it off to the nearest 100 and to the nearest 10.
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Estimate/Problems: Reasonableness
The learner will be able to estimate to decide whether the solution to an addition or subtraction problem is reasonable.
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Pattern: Explain/Multiplication
The learner will be able to explain number patterns using multiplication.
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Pattern: Continue/Multiplication
The learner will be able to continue number patterns using multiplication.
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Pattern: Construct/Multiplication
The learner will be able to construct number patterns using multiplication.
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Counting: Up to 1000
The learner will be able to count whole numbers up to 1000.
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Number Lines: Plot/Numbers to 10
The learner will be able to plot whole numbers less than or equal to 10 on a number line.
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Number Lines: Label/Numbers to 10
The learner will be able to label whole numbers less than or equal to 10 on a number line.
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Mental Math: Add/Subtract to 100
The learner will be able to add or subtract with numbers less than 100 using mental math.
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Probability/Statistics |
The Probability/Statistics Unit includes Competencies/Objectives which focus on data analysis and probability concepts. Students collect, analyze, and make sense of real world data (including overlapping data, inconclusive data, etc.). |
Experiments: Analyzing
The learner will be able to apply data analysis and probability to study given scenarios and outcomes of experiments.
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Impossible/Certain Events: Identify
The learner will be able to determine common events to be impossible, likely, unlikely, or certain.
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Outcomes: Record/Simple Experiment
The learner will be able to list the possible outcomes for a simple probability experiment.
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Problem Solving |
The Problem Solving Unit includes Competencies/Objectives which focus on analyzing problems, evaluating solutions, exploring problems, and developing strategies for solving problems. |
Solution: Determine/Communicate
The learner will be able to determine and communicate answers to problems using strategies, skills, and ideas.
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Strategies: Solve/Similar
The learner will be able to express the strategy for determining the solution to a problem and illustrate a conceptual understanding of the strategy by obtaining solutions to similar problems.
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Strategies: Decisions/Communicate
The learner will be able to make decisions with regard to how to approach problems and explain the ideas.
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Strategies: Break Up Problem
The learner will be able to figure out when and how to break up a problem into less difficult components.
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Analyzing Problems: Relationships
The learner will be able to analyze problems by recognizing relationships, differentiating between relevant and irrelevant information, sequencing and prioritizing information, and observing patterns.
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Problem: Generalizations
The learner will be able to progress past a given problem through generalizations to other situations.
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Evaluating Solutions: Completeness
The learner will be able to determine when an answer is complete.
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Solutions: Exact or Approximate
The learner will be able to identify the advantages of exact and approximate answers to problems.
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Solutions: Degree of Accuracy
The learner will be able to present solutions to a specified degree of accuracy.
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Solutions: Validity in Context
The learner will be able to verify the validity of solutions based on the context of the problem.
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Solution: Reasonableness
The learner will be able to determine the reasonableness of results.
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Solutions: Evaluate Reasonableness
The learner will be able to evaluate the reasonableness of a given solution within the context of the original problem.
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Strategies: Apply
The learner will be able to apply strategies and/or results obtained from simpler problems to those that are more complex.
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Problem Solving: Develop/Skills
The learner will be able to develop problem solving skills.
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Whole Numbers |
The Whole Numbers Unit includes Competencies/Objectives which focus on whole number concepts. Students perform operations with whole numbers, use manipulatives to demonstrate whole number concepts, and solve problems with whole numbers in real world contexts. |
Add/Subtract Whole Number: Properties
The learner will be able to add and subtract whole numbers less than 1000 with or without regrouping using appropriate properties of the number system.
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Addition/Subtraction: Problem Solve
The learner will be able to compute to obtain solutions to whole number problems containing addition and subtraction.
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Multiplication: Facts/2, 5, and 10
The learner will be able to illustrate proficiency with multiplication facts for 2, 5, and 10.
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Multiplication: Repeated Addition
The learner will be able to illustrate the idea of multiplication as repeated addition.
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Division: Illustrate/Equal Groups
The learner will be able to illustrate the idea of division as the forming of equal groups.
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Division: Illustrate/Sharing Equally
The learner will be able to illustrate the idea of division as sharing equally.
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Division: Repeated Subtraction
The learner will be able to illustrate the idea of division as repeated subtraction.
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Multiplication/Division: Solve
The learner will be able to obtain solutions to simple problems that contain multiplication and division.
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Compare Numbers: Less Than 1000
The learner will be able to compare whole numbers up to 1000.
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Ordering: Up to 1000
The learner will be able to order whole numbers of at most 1000.
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Number Sense: Relationships
The learner will be able to comprehend the relationship that is present among numbers, quantities, and/or place value in whole numbers of at most 1000.
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Number Sense: Representations
The learner will be able to apply written words, models, and/or expanded notation to illustrate number values of at most 1000.
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Whole Numbers: Develop
The learner will be able to develop whole number sense.
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Whole Numbers: Develop/Estimation
The learner will be able to develop estimation abilities for whole numbers.
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Whole Numbers: Develop/Computation
The learner will be able to develop computation abilities for whole numbers.
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