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Mathematics
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Introduction
Ordering Info
Copyright

© 2005 by Bloomsburg Area School District and Scantron Corporation.
All Rights Reserved.

Made with Curriculum Designer
Made with
Curriculum Designer by
Scantron Corporation

Bloomsburg Area School District
Math K-5 8/30/05
Mathematics - Grade 3

Algebraic Concepts
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 Scope Source
Algebraic Concepts Master PA: Academic Standards, January 16, 1999, Grade 3, p.13,2.8.3.E
  
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 Scope Source
Number Sentence Master PA: Academic Standards, January 16, 1999, Grade 3, p.13,2.8.3.B and 2.8.3 F
  
Solution Methods: Choose/Apply
The learner will be able to select and use an appropriate strategy and materials to obtain solutions to problems, including mental math, paper and pencil, and physical objects.
Strand Scope Source
Solution Methods Master PA: Academic Standards, January 16, 1999, Grade 3, p.8,2.5.3.C
  
Add/Subtract: Use/Physical Objects
The learner will be able to apply addition and subtraction situations using concrete objects.
Strand Scope Source
Operations: Add/Subtract Master PA: Academic Standards, January 16, 1999, Grade 3, p.4,2.2.3.A
  
Algebraic Symbols/Solutions
The learner will be able to describe the meaning of solutions and symbols.
Strand Scope Source
Identify Sentence Master PA: Academic Standards, January 16, 1999, Grade 3, p.13,2.8.3.F
  
Algorithms: Describe/Add/Subtract
The learner will be able to explain addition and subtraction and multiplication and division algorithms with regrouping.
Strand Scope Source
Algorithms Master PA: Academic Standards, January 16, 1999, Grade 3, p.4,2.2.3.G
  
Basic Operations: Understand
The learner will be able to demonstrate knowledge of basic facts of the four operations.
Strand Scope Source
Basic Operations Master PA: Academic Standards, January 16, 1999, Grade 3, p.3,2.1.3.L
  
Inverse Operations: Add/Subtract
The learner will be able to describe the inverse relationship between addition and subtraction.
Strand Scope Source
Inverse Operations Master PA: Academic Standards, January 16, 1999, Grade 3, p.3,2.1.3.K
  
Missing Addend
The learner will be able to substitute a missing addend in a number sentence.
Strand Scope Source
Missing Information Master PA: Academic Standards, January 16, 1999, Grade 3, p.13,2.8.3.C
  
Multiplication: Use Arrays/Illustrate
The learner will be able to demonstrate concept of multiplication as repeated addition and arrays.
Strand Scope Source
Operations: Multiplication Master PA: Academic Standards, January 16, 1999, Grade 3, p.4,2.2.3.C
  
Rate: Change
The learner will be able to categorize rates of change as faster and slower.
Strand Scope Source
Rates Master PA: Academic Standards, January 16, 1999, Grade 3, p.19,2.11.3.C
  
Table/Chart: Collect/Display
The learner will be able to gather information and display it in the form of a table or a chart.
Strand Scope Source
Tables/Charts Master PA: Academic Standards, January 16, 1999, Grade 3, p.13,2.8.3.G
  
Positive/Negative Numbers: +/-
The learner will be able to add/subtract positive and negative numbers.
Strand Scope Source
Absolute Value Master Bloomsburg Area School District(a)
  
Multiplication: Multi-digit
The learner will be able to multiply multi-digit numbers by one or two digit numbers.
Strand Scope Source
Absolute Value Master Bloomsburg Area School District(a)
  
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Data Interpretation
Bar Graphs: Recognize/Values
The learner will be able to identify least and greatest values illustrated in bar graphs and pictographs.
Strand Scope Source
Bar Graphs Master PA: Academic Standards, January 16, 1999, Grade 3, p.19,2.11.3.B
  
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, range, mode, median and mean.
Strand Scope Source
Data Collection and Classification Master PA: Academic Standards, January 16, 1999, Grade 3, p.11,2.7.3.D
  
Graphs: Collect/Organize/Illustrate/Data
The learner will be able to gather, organize, and display data using pictures, tallies, charts, bar graphs, pictographs, maps, frequency tables and line plots.
Strand Scope Source
Graphing Master PA: Academic Standards, January 16, 1999, Grade 3, p.9,2.6.3.A
  
Logical Reasoning: Questions
The learner will be able to formulate and answer questions based on data displayed on graphs.
Strand Scope Source
Logical Reasoning Master PA: Academic Standards, January 16, 1999, Grade 3, p.9,2.6.3.B
  
Tables/Charts: Explain
The learner will be able to describe and interpret the data shown in tables and charts.
Strand Scope Source
Tables/Charts Master PA: Academic Standards, January 16, 1999, Grade 3, p.13,2.8.3.H
  
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Fraction Parts: Part of a Whole
The learner will be able to use drawings, diagrams or models to show the concept of fractions as part of a whole and to find equivalent fractions.
Strand Scope Source
Fraction Parts Master PA: Academic Standards, January 16, 1999, Grade 3, p.2,2.1.3.D
  
Fractions: Identify/Compare/Order
The learner will be able to identify the numerator and denominator of a fraction; compare and order fractions.
Strand Scope Source
Add Fractions Master Bloomsburg Area School District(a)
  
Mixed Numbers: Identify/ Convert
The learner will be able to identify and name mixed numbers; convert between mixed numbers and fractions.
Strand Scope Source
Add Fractions Master Bloomsburg Area School District(a)
  
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Functions
Functions: Study/Locate Points
The learner will be able to study simple functions and relationships and find points on a simple grid.
Strand Scope Source
Functions Master PA: Academic Standards, January 16, 1999, Grade 3, p.14,2.8.3.J
  
Functions: Illustrate/Rules
The learner will be able to demonstrate simple function rules.
Strand Scope Source
Functions Master PA: Academic Standards, January 16, 1999, Grade 3, p.14,2.8.3.I
  
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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 Scope Source
Figures Master PA: Academic Standards, January 16, 1999, Grade 3, p.7,2.4.3.A
  
Figures: Name/Label
The learner will be able to name and label geometric shapes in two and three dimensions (circle/sphere, square/cube, triangle/pyramid, rectangle/prism.
Strand Scope Source
Figures: Identify Master PA: Academic Standards, January 16, 1999, Grade 3, p.16,2.9.3.A
  
Geometric Concepts: Identify
The learner will be able to find and describe geometric figures in real life.
Strand Scope Source
Geometric Concepts Master PA: Academic Standards, January 16, 1999, Grade 3, p.16,2.9.3.D
  
Angles: Right/Real World
The learner will be able to identify right angles in the environment.
Strand Scope Source
Angles Master PA: Academic Standards, January 16, 1999, Grade 3, p.18,2.10.3.A
  
Combine/Partition: Predict
The learner will be able to forecast the outcome of combining or partitioning geometric figures.
Strand Scope Source
Combine/Partition/Transform Master PA: Academic Standards, January 16, 1999, Grade 3, p.16,2.9.3.I
  
Figures: Construct/Physical Object
The learner will be able to build geometric shapes using concrete objects (e.g., manipulatives).
Strand Scope Source
Figures: Construct Master PA: Academic Standards, January 16, 1999, Grade 3, p.16,2.9.3.B
  
Reflection: Fold Paper
The learner will be able to illustrate reflections about a line by folding paper.
Strand Scope Source
Reflections Master PA: Academic Standards, January 16, 1999, Grade 3, p.16,2.9.3.G
  
Reflections: Relationships
The learner will be able to use reflections to demonstrate relationships between and among figures.
Strand Scope Source
Reflections Master PA: Academic Standards, January 16, 1999, Grade 3, p.16,2.9.3.H
  
Right Angles: Model
The learner will be able to model right angles and right triangles using concrete objects.
Strand Scope Source
Angles Master PA: Academic Standards, January 16, 1999, Grade 3, p.18,2.10.3.B
  
Shapes: Draw
The learner will be able to draw two and three dimensional geometric shapes and construct rectangles, squares, and triangles on the geoboard and on graph paper satisfying specific criteria.
Strand Scope Source
Two-Dimensional Shapes Master PA: Academic Standards, January 16, 1999, Grade 3, p.16,2.9.3.C
  
Symmetry: Drawing Lines
The learner will be able to identify and draw lines of symmetry in geometric figures and nature and recognize congruence.
Strand Scope Source
Symmetry Master PA: Academic Standards, January 16, 1999, Grade 3, p.16,2.9.3.E and 2.9.3 F
  
Circle: Explore
The learner will be able to explore the relationship between the diameter and the circumference of a circle.
Strand Scope Source
Acute/Right/Obtuse Angles Master Bloomsburg Area School District(a)
  
Points/Lines: Identify/Name
The learner will be able to identify and name points, line segments, lines, rays, and angles.
Strand Scope Source
Acute/Right/Obtuse Angles Master Bloomsburg Area School District(a)
  
Angles: Measure
The learner will be able to measure angles with non-standard and degree units.
Strand Scope Source
Acute/Right/Obtuse Angles Master Bloomsburg Area School District(a)
  
Turns/Rotations: Model
The learner will be able to model clockwise and counterclockwise turns and rotations.
Strand Scope Source
Acute/Right/Obtuse Angles Master Bloomsburg Area School District(a)
  
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Estimation: Standard/Nonstandard Units
The learner will be able to determine the measurement of objects with non-standard (e.g. US customary and metric) units.
Strand Scope Source
Measurement: Estimation Master PA: Academic Standards, January 16, 1999, Grade 3, p.6,2.3.3.B
  
Measurement: Varied Attributes
The learner will be able to demonstrate that a single object has different attributes that can be measured in different ways (e.g. length, mass/weight, time, area, temperature, capacity, volume and perimeter).
Strand Scope Source
Measurement: Application Master PA: Academic Standards, January 16, 1999, Grade 3, p.6,2.3.3.H
  
Money: Count/Compare/Change/Divide
The learner will be able to count, compare, divide and make change from a group of coins and one-dollar bills.
Strand Scope Source
Money Master PA: Academic Standards, January 16, 1999, Grade 3, p.2,2.1.3.E
  
Perimeter/Area: Find
The learner will be able to use concrete objects to determine area and perimeter.
Strand Scope Source
Perimeter/Area/Volume Master PA: Academic Standards, January 16, 1999, Grade 3, p.6,2.3.3.F
  
Estimate Measurements: Verify
The learner will be able to verify measurement.
Strand Scope Source
Measurement: Estimation Master PA: Academic Standards, January 16, 1999, Grade 3, p.6,2.3.3.G
  
Measurement: Apply/Real World
The learner will be able to use measurements to determine the geography of the school building (real world sceneries).
Strand Scope Source
Measurement: Application Master PA: Academic Standards, January 16, 1999, Grade 3, p.7,2.4.3.B
  
Measurement: Compare
The learner will be able to compare measurable characteristics of different objects on the same dimensions (time, temperature, area, length, weight, capacity, perimeter).
Strand Scope Source
Measurement: Analysis Master PA: Academic Standards, January 16, 1999, Grade 3, p.6,2.3.3.A
  
Measurement: Estimation
The learner will be able to estimate and verify measurements.
Strand Scope Source
Measurement: Estimation Master PA: Academic Standards, January 16, 1999, Grade 3, p.6,2.3.3.G
  
Time: Minute
The learner will be able to tell time to the minute using both digital and analog clocks and calculate elapsed time.
Strand Scope Source
Time Master PA: Academic Standards, January 16, 1999, Grade 3, p.6,2.3.3.D
  
Units: Choose Appropriate
The learner will be able to choose suitable units of measure.
Strand Scope Source
Units Master PA: Academic Standards, January 16, 1999, Grade 3, p.6,2.3.3.E.
  
Measurement: Elapsed Time
The learner will be able to determine and compare elapsed times.
Strand Scope Source
Accuracy Develop PA: Academic Standards, January 16, 1999, Grade 3, 2.3.3 C
  
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Equivalent Forms: Illustrate/Apply
The learner will be able to represent equivalent forms of a whole number using concrete objects, drawings, and word names.
Strand Scope Source
Equivalent Forms Master PA: Academic Standards, January 16, 1999, Grade 3, p.2,2.1.3.C
  
One-to-one Correspondence: Understanding
The learner will be able to show an understanding of one-to-one correspondence.
Strand Scope Source
One-to-one Correspondence Master PA: Academic Standards, January 16, 1999, Grade 3, p.2,2.1.3.H
  
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Counting: Order/Group
The learner will be able to use concrete objects to count, order, and group.
Strand Scope Source
Counting Master PA: Academic Standards, January 16, 1999, Grade 3, p.2,2.1.3.G
  
Numeration: Apply Place Value
The learner will be able to apply the idea of place-value and numeration to counting, ordering, and grouping.
Strand Scope Source
Numeration Master PA: Academic Standards, January 16, 1999, Grade 3, p.3,2.1.3.I
  
Pattern: Identify/Describe/Continue
The learner will be able to identify, describe, continue, and create and reproduce many different patterns including attribute, activity, number and geometric patterns.
Strand Scope Source
Patterns: Identify/Describe/Continue Master PA: Academic Standards, January 16, 1999, Grade 3, p.13,2.8.3.A
  
Comparison: Numbers/Hundred Board
The learner will be able to apply number patterns (even and odd) and compare values on the hundred board.
Strand Scope Source
Comparison Master PA: Academic Standards, January 16, 1999, Grade 3, p.2,2.1.3.F
  
Estimation Strategies: Conclusions
The learner will be able to use estimation skills to arrive at conclusions.
Strand Scope Source
Estimation Strategies Master PA: Academic Standards, January 16, 1999, Grade 3, p.4,2.2.3.E
  
Estimation: Appropriateness
The learner will be able to estimate, approximate, round or use numbers as appropriate.
Strand Scope Source
Estimation Master PA: Academic Standards, January 16, 1999, Grade 3, p.3,2.1.3.J
  
Patterns: Extend/Infinitely
The learner will be able to extend number or object patterns that can be infinitely continued.
Strand Scope Source
Patterns Master PA: Academic Standards, January 16, 1999, Grade 3, p.19,2.11.3.D
  
Quantity: Represent/Whole/Fraction
The learner will be able to represent quantities using whole numbers and fractions.
Strand Scope Source
Quantity Master PA: Academic Standards, January 16, 1999, Grade 3, p.2,2.1.3.B
  
Skip Counting: 2,3,5,10,25,100
The learner will be able to count up to 10,000 by 2's, 3's, 5's, 10's, 25's and 100's using whole numbers.
Strand Scope Source
Skip Counting Master PA: Academic Standards, January 16, 1999, Grade 3, p.2,2.1.3.A
  
Calculator: Count
The learner will be able to count using a calculator repeat key; explore calculator functions; and use a calculator for the four operations.
Strand Scope Source
Change Master Bloomsburg Area School District(a)
  
Complements: Find
The learner will be able to find the complements of 10 and 100 and multiples of 10.
Strand Scope Source
Change Master Bloomsburg Area School District(a)
  
Square Products: Know/Recognize
The learner will be able to know/recognize square products.
Strand Scope Source
Change Master Bloomsburg Area School District(a)
  
Decimals: Identify/Compare
The learner will be able to identify place value in decimals through thousandths; compare and order decimals; count by tenths, hundredths, thousandths.
Strand Scope Source
Change Master Bloomsburg Area School District(a)
  
Decimals: Read/Write
The learner will be able to read and write decimals including thousandths and beyond; write decimals with expanded notation.
Strand Scope Source
Change Master Bloomsburg Area School District(a)
  
Numbers: Explore/Use
The learner will be able to explore and use positive and negative numbers.
Strand Scope Source
Change Master Bloomsburg Area School District(a)
  
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Probability/Statistics
Chance: Predicting
The learner will be able to predict and measure the likelihood of events and recognize that the results of an experiment may not match predicted outcomes.
Strand Scope Source
Chance Master PA: Academic Standards, January 16, 1999, Grade 3, p.11,2.7.3.A
  
Data: Develop/Justify Opinions
The learner will be able to form and justify an opinion on whether a given statement is reasonable according to a comparison of data.
Strand Scope Source
Data Master PA: Academic Standards, January 16, 1999, Grade 3, p.9,2.6.3.D
  
Experiments: List/Graph
The learner will be able to list or graph the possible outcomes of an experiment.
Strand Scope Source
Experiments Master PA: Academic Standards, January 16, 1999, Grade 3, p.11,2.7.3.C
  
Probability Concepts: Spinners
The learner will be able to design a fair and unfair spinner.
Strand Scope Source
Probability Concepts Master PA: Academic Standards, January 16, 1999, Grade 3, p.11,2.7.3.B
  
Probability: Predict
The learner will be able to predict the likeliest number of times a likeliest will occur based on analyzed data.
Strand Scope Source
Probability Master PA: Academic Standards, January 16, 1999, Grade 3, p.9,2.6.3.C
  
Events: Record
The learner will be able to use fractions to record probabilities of events.
Strand Scope Source
Average/Median/Mode/Range Master Bloomsburg Area School District(a)
  
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Problem Solving
Solution: Communicate Process
The learner will be able to communicate the mathematical processes used to solve a problem.
Strand Scope Source
Solution Master PA: Academic Standards, January 16, 1999, Grade 3, p.8,2.5.3.B
  
Word Problem: Create
The learner will be able to formulate a story to match a given combination of symbols and numbers.
Strand Scope Source
Word Problems Master PA: Academic Standards, January 16, 1999, Grade 3, p.13,2.8.3.D
  
Analyzing Problems: Necessary Data
The learner will be able to determine when sufficient information is present to solve a problem and explain how to solve a problem.
Strand Scope Source
Analyzing Problems Master PA: Academic Standards, January 16, 1999, Grade 3, p.8,2.5.3.B
  
Strategies: Appropriate/Use
The learner will be able to use appropriate problem solving strategies such as guess and check and working backwards.
Strand Scope Source
Problem Solving Master PA: Academic Standards, January 16, 1999, Grade 3, p.8,2.5.3.A
  
Mental Math: Use
The learner will be able to use mental arithmetic to add, subtract, multiply and divide.
Strand Scope Source
Analyzing Problems Master Bloomsburg Area School District(a)
  
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Add/Subtract: Obtain
The learner will be able to obtain solutions to problems containing up to four digits using addition and subtraction with various algorithms.
Strand Scope Source
Add/Subtract Whole Numbers Master PA: Academic Standards, January 16, 1999, Grade 3, p.4,2.2.3.B
  
Division: Repeated Subtraction
The learner will be able to demonstrate concept of division as repeated subtraction and as sharing.
Strand Scope Source
Divide Whole Numbers Master PA: Academic Standards, January 16, 1999, Grade 3, p.4,2.2.3.D
  
Division: Sharing
The learner will be able to illustrate the idea of division as sharing.
Strand Scope Source
Divide Whole Numbers Master PA: Academic Standards, January 16, 1999, Grade 3, p.4,2.2.3.D
  
Whole Numbers: Quantities
The learner will be able to identify whole number quantities and measurements from least to most and greatest value using symbols < , > , =.
Strand Scope Source
Whole Numbers Master PA: Academic Standards, January 16, 1999, Grade 3, p.19,2.11.3.A
  
Multiplication/Division: Use
The learner will be able to estimate, multiply, divide with two digit numbers.
Strand Scope Source
Add Whole Numbers Master Bloomsburg Area School District(a)
  
Number Sentences: Multiply/Divide
The learner will be able to multiply and divide one and two digit numbers in number sentences with parentheses.
Strand Scope Source
Add Whole Numbers Master Bloomsburg Area School District(a)
  
Factors: Identify
The learner will be able to identify factors of a number.
Strand Scope Source
Add Whole Numbers Master Bloomsburg Area School District(a)
  
Numbers: Read/Write/Order
The learner will be able to read, write, order and compare up to seven digit whole numbers.
Strand Scope Source
Add Whole Numbers Master Bloomsburg Area School District(a)
  
Properties: Investigate
The learner will be able to investigate properties of addition, subtraction, ,multiplication and division.
Strand Scope Source
Add Whole Numbers Master Bloomsburg Area School District(a)
  
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