Chalkboard

Introduction
Ordering Info
Copyright


© 2006 by Elkhorn Public Schools and Scantron Corporation.
All Rights Reserved.

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Made with
Curriculum Designer by
Scantron Corporation

Elkhorn Public Schools
Math
Mathematics - Grade 5

Number Theory

Estimation Strategies: Whole Numbers
The learner will be able to incorporate a variety of estimation techniques such as front-ending, clustering, averaging, rounding compatible numbers, and special cases, to check the reasonableness of solutions involving whole numbers.
Strand Scope Source
Cardinal Numbers Master Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Pattern: Missing Elements
The learner will be able to determine the missing element from a table given a table of number pairs.
Strand Scope Source
Cardinal Numbers Master Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Greater Than/Less Than: 100 More/Less
The learner will be able to determine the number that has a value of 100 more or 100 less than a given number.
Strand Scope Source
Comparison Master Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Place Value: Whole Numbers
The learner will be able to understand whole number place values.
Strand Scope Source
Place Value Master Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Multiples: Lowest Common
The learner will be able to identify the lowest common multiple of a group of two or more numbers.
Strand Scope Source
Multiples Master Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Factors: Greatest Common
The learner will be able to identify the greatest common factor of a group of two or more numbers.
Strand Scope Source
Factors Master Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Rounding: Whole Numbers
The learner will be able to round whole numbers to a specific place value.
Strand Scope Source
Cardinal Numbers Master Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Estimation: Reasonableness
The learner will be able to evaluate the reasonableness of a given estimate.
Strand Scope Source
Cardinal Numbers Master Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Operations: Add/Subtract/Multiply/Divide
The learner will be able to add, subtract, multiply, and divide whole numbers within the context of numerical problems.
Strand Scope Source
Cardinal Numbers Master Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Multiplication: Whole Numbers
The learner will be able to perform multiplication on whole numbers.
Strand Scope Source
Multiply Whole Numbers Master Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Divide Whole Numbers
The learner will be able to perform division on whole numbers.
Strand Scope Source
Divide Whole Numbers Master Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Prime and Composite
The learner will be able to identify prime and composite numbers.
Strand Scope Source
Absolute Value Introduce Elkhorn Public Schools
  
Place Value: Decimals
The learner will be able to understand place value of decimal numbers.
Strand Scope Source
Add Decimals Introduce Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Pattern: Geometric/Missing Elements
The learner will be able to determine which element is missing from a given geometric pattern.
Strand Scope Source
Cardinal Numbers Introduce Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Word Names: Less Than Billions
The learner will be able to match word names and corresponding whole numbers (less than one billion).
Strand Scope Source
Word Names Introduce Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Estimation: Compatible Numbers
The learner will be able to make estimations by applying the concept of compatible numbers.
Strand Scope Source
Cardinal Numbers Introduce Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Expanded Notation: Less Than 1,000,000
The learner will be able to identify the expanded form of whole numbers less than 1,000,000.
Strand Scope Source
Expanded Notation Introduce Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
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Fractions

Fractions: Compare
The learner will be able to order and compare fractions with like and unlike denominators.
Strand Scope Source
Compare Fractions Master Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Fractions: Improper/Identify
The learner will be able to recognize an improper fraction.
Strand Scope Source
Fractions Master Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Fractions: Representations
The learner will be able to recognize fractions or mixed numbers that may be presented in a variety of different ways.
Strand Scope Source
Fractions Master Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Fractions: Add/Subtract
The learner will be able to add and subtract fraction numbers with like and unlike denominators within the context of numerical problems.
Strand Scope Source
Fractions Master Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Fractions: Multiplication
The learner will be able to multiply fractions.
Strand Scope Source
Add Fractions Introduce Elkhorn Public Schools
  
Fractions: Lowest Terms/Identify
The learner will be able to identify a fraction which has been simplified to its lowest terms.
Strand Scope Source
Fractions Introduce Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Fractions: Equivalent
The learner will be able to identify equivalent fractions.
Strand Scope Source
Equivalent Fractions Introduce Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
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Decimals

Decimals: Represent
The learner will be able to represent decimal numbers using pictures, diagrams, or manipulatives.
Strand Scope Source
Add Decimals Master Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Compare/Order Decimals
The learner will be able to compare and order decimal numbers.
Strand Scope Source
Compare Decimals Introduce Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Estimating
The learner will be able to employ strategies for estimating the range of an answer, or the number of digits in an answer to addition, subtraction, multiplication, or division problems, and articulate these strategies to others.
Strand Scope Source
Reasoning/Estimation Introduce Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Money: Estimating Large/Small Amounts
The learner will be able to use prior knowledge to make reasonable estimations for possible prices of large and small items (cars, houses, candy, toys, etc.).
Strand Scope Source
Money Introduce Stanford Achievement Test (SAT-9), Version 9, Advanced 1 week tested: 30. NE: Standards, February 6, 1998, Grade 8, 8.2.5..; Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Decimals: Rounding
The learner will be able to round decimals to the nearest whole number.
Strand Scope Source
Add Decimals Introduce Elkhorn Public Schools
  
Decimals: Addition/Subtraction
The learner will be able to add and subtract decimals to the hundredths place.
Strand Scope Source
Add Decimals Introduce Elkhorn Public Schools
  
Decimals: Multiplication
The learner will be able to multiply decimals by a whole number and by a decimal.
Strand Scope Source
Add Decimals Introduce Elkhorn Public Schools
  
Decimals: Division
The learner will be able to divide decimals to the thousandths place.
Strand Scope Source
Add Decimals Introduce Elkhorn Public Schools
  
Decimals: Equivalent
The learner will be able to write equivalent decimals.
Strand Scope Source
Add Decimals Introduce Elkhorn Public Schools
  
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Algebraic Concepts

Equations
The learner will be able to explore algebra by solving 1-step equations.
Strand Scope Source
Absolute Value Master Elkhorn Public Schools
  
Operations: Inverse Relationships
The learner will be able to identify and apply the inverse relationship that exists between addition and subtraction and between multiplication and division to obtain problem solutions and finish elementary fact sentences.
Strand Scope Source
Basic Operations Introduce Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Properties: Multiplication/Commutative
The learner will be able to recognize equivalent expressions that display the commutative property of multiplication.
Strand Scope Source
Properties Introduce Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Number Sentence: Solution
The learner will be able to recognize a solution sentence that is equivalent to a given word problem.
Strand Scope Source
Number Sentence Introduce Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Operations: Decimals/Money/Percents
The learner will be able to perform operations with decimals, money, and percents in a story problem context.
Strand Scope Source
Operations Introduce Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
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Functions

Functions: Output
The learner will be able to determine the output values of a given function.
Strand Scope Source
Functions Introduce Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
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Probability/Statistics

Data: Interpret/Tally Chart
The learner will be able to analyze information presented in tally charts.
Strand Scope Source
Data Master Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Probability
The learner will be able to identify the probability of a given situation.
Strand Scope Source
Probability Introduce Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Permutations
The learner will be able to determine the number of possible outcomes for a limited number of choices or with a limited number to choose from.
Strand Scope Source
Permutations Introduce Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Combinations
The learner will be able to determine the number of combinations that can be made by putting a limited number of items into a limited number of spaces.
Strand Scope Source
Combinations Introduce Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Measures of Central Tendency
The learner will be able to calculate the mean, median, mode, and range of a set of data.
Strand Scope Source
Average/Median/Mode/Range Introduce Stanford Achievement Test (SAT-9), Version 9, Intermediate 3 week tested: 30. Elkhorn Public Schools.; Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
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Measurement

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 Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Area of a Rectangle: Calculate
The learner will be able to calculate the area of a rectangle given its measurements.
Strand Scope Source
Area of a Rectangle Master Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Area of a Square
The learner will be able to determine the area of a square, given the dimensions of a side.
Strand Scope Source
Area of a Square Master Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Perimeter: Calculate
The learner will be able to calculate perimeter given an object's side lengths.
Strand Scope Source
Perimeter Master Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Length
The learner will be able to determine the length of the object.
Strand Scope Source
Length Master Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Units of Measurement: Appropriateness
The learner will be able to determine what unit of measure would be appropriate if measuring a given object.
Strand Scope Source
Units Master Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Scale Drawing
The learner will be able to use proportional relationships to determine actual measurements from a diagram or map drawn to scale.
Strand Scope Source
Scale Drawings Introduce Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Circle: Diameter/Radius
The learner will be able to determine a circle's diameter or radius given the value of the other.
Strand Scope Source
Circles Introduce Stanford Achievement Test (SAT-9), Version 9, Intermediate 3 week tested: 30.
  
Conversion: Within System
The learner will be able to accurately convert, within a measurement system, from one unit to another.
Strand Scope Source
Converting Introduce Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
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Geometry

Lines and Angles
The learner will be able to show and name lines and angles.
Strand Scope Source
Angles Master Elkhorn Public Schools
  
Transformation: Identify
The learner will be able to identify rotation, translation, dilation, reflection and/or half-turn transformations given pictures of congruent polygons.
Strand Scope Source
Transformations Introduce Stanford Achievement Test (SAT-9), Version 9, Intermediate 3 week tested: 30..; Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Symmetry: Identify/Classify
The learner will be able to both identify and classify the various symmetries within geometric figures.
Strand Scope Source
Symmetry Introduce Stanford Achievement Test (SAT-9), Version 9, Intermediate 3 week tested: 30..; Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Shapes: Convex/Concave/Regular Polygons
The learner will be able to identify, describe, and draw convex, concave, and regular polygons.
Strand Scope Source
Polygons Introduce Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30.
  
Angles: Classify
The learner will be able to classify angles according to angle measure.
Strand Scope Source
Angles Introduce Stanford Achievement Test (SAT-9), Version 9, Intermediate 3 week tested: 30..; Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
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Real Numbers and the Coordinate Plane

Coordinate Geometry: Locating Points
The learner will be able to demonstrate familiarity with coordinate positions by using two or more conditions to locate the position of points, and by locating all points that meet a given set of criteria.
Strand Scope Source
Coordinate Geometry Master Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
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Problem Solving

Problem Solving: Multiple Operations
The learner will be able to solve story problems that require multiple steps.
Strand Scope Source
Word Problems Reinforce Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Missing/Extraneous Information
The learner will be able to recognize that relevant information may be missing, and/or determine the presence of extraneous information and eliminate it.
Strand Scope Source
Irrelevant/Necessary Information Master Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Strategies: Non-Routine
The learner will be able to obtain problem solutions through the application of non-routine problem solving strategies.
Strand Scope Source
Strategies Master Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
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Data Interpretation

Graphs: Interpret/Extrapolate
The learner will be able to interpret and extrapolate data shown in a line and bar graphs.
Strand Scope Source
Line Graphs Reinforce Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
Table: Extrapolate/Proportions
The learner will be able to use proportional relationships within tables to extrapolate for values not given in the table.
Strand Scope Source
Tables/Charts Introduce Stanford Achievement Test (SAT-9), Version 9, Intermediate 2 week tested: 30
  
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