Chalkboard
Index
 
Mathematics
· Grade K
· Grade 1
· Grade 2
· Grade 3
· Grade 4
· Grade 5

Introduction
Ordering Info
Copyright

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

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Curriculum Designer by
Scantron Corporation

Bloomsburg Area School District
Math K-5 8/30/05
Mathematics - Grade 1

Algebraic Concepts
Algebraic Concepts: Symbols/Objects
The learner will be able to use concrete objects to show the concepts of variables, 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 use concrete objects and symbols (+, -, =) to create number sentences.
Strand Scope Source
Number Sentence Master PA: Academic Standards, January 16, 1999, Grade 3, p.13,2.8.3.B
  
Solution Methods: Choose/Apply
The learner will be able to select and use an appropriate method, strategy and materials to obtain solutions to problems, including mental math, 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 determine the sum of 2 or 3 addends to 20 by using manipulatives, drawing pictures, and writing number sentences (calculate the differences of any two numbers without regrouping by using manipulatives, drawing pictures, writing number sentences, number line, and number grid.
Strand Scope Source
Operations: Add/Subtract Master PA: Academic Standards, January 16, 1999, Grade 3, p.4,2.2.3.A
  
Algorithms: Describe/Add/Subtract
The learner will be able to orally or in writing explain and describe the computation process in regrouping.
Strand Scope Source
Algorithms Master PA: Academic Standards, January 16, 1999, Grade 3, p.4,2.2.3.G
  
Inverse Operations: Add/Subtract
The learner will be able to write a number family which includes two addition and two subtraction number sentences.
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 use manipulatives to determine a missing addend in a number sentence in which the sums are 20 or less.
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 count using whole numbers to 100 by 1'2, 2's, 5's, 10's and 25's. (Corresponds with Standard 2.1.3.A).
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 describe rates of change as faster and slower using real life situations.
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 read, organize and compare data using a bar graph and/or pictographs using the following vocabulary: most, least, same, highest, lowest, more than, fewer than.
Strand Scope Source
Tables/Charts Master PA: Academic Standards, January 16, 1999, Grade 3, p.13,2.8.3.G
  
Division: Understand/solve
The learner will be able to understand the meaning of multiplication/division; solve multiplication/division number stories.
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 represented in bar graphs and pictographs; make tally charts, bar graphs, tables, frequency tables, and line plots.
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 collect and describe data using concepts of largest, smallest, most often, and least often.
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 real life data on a bar graph and/or pictograph using the terms most, least, same, highest, lowest, more than, and fewer than.
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 describe data on a given graph.
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 identify 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
  
Range/Mode/Median: Find
The learner will be able to find the range, mode, and median; find maximum and minimum of data set.
Strand Scope Source
Analyzing/Evaluating Graphical Forms Master Bloomsburg Area School District(a)
  
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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 whole.
Strand Scope Source
Fraction Parts Master PA: Academic Standards, January 16, 1999, Grade 3, p.2,2.1.3.D
  
Numerator/Denominator: Identify
The learner will be able to identify numerator/denominator.
Strand Scope Source
Add Fractions Master Bloomsburg Area School District(a)
  
Fractions: Explore/Use
The learner will be able to explore uses of fractions; use fractions in number stories.
Strand Scope Source
Add Fractions Master Bloomsburg Area School District(a)
  
Equivalent Fractions: Find/Compare/Order
The learner will be able to find equivalent fractions; compare and order fractions.
Strand Scope Source
Add Fractions Master Bloomsburg Area School District(a)
  
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Figures: Form/Check/Confirm
The learner will be able to verify predictions about quantity, size, and shape of objects by drawing pictures.
Strand Scope Source
Figures Master PA: Academic Standards, January 16, 1999, Grade 3, p.7,2.4.3.A
  
Figures: Name/Label/Sort
The learner will be able to identify, label, and sort two dimensional shapes.
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 name and describe two-dimensional 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 the number of sides and angles in triangles and quadrilaterals.
Strand Scope Source
Angles Master PA: Academic Standards, January 16, 1999, Grade 3, p.18,2.10.3.A
  
Figures: Construct/Physical Object
The learner will be able to construct two-dimensional geometric shapes using concrete objects (e.g., geoboard, dot paper).
Strand Scope Source
Figures: Construct Master PA: Academic Standards, January 16, 1999, Grade 3, p.16,2.9.3.B
  
Right Angles: Model
The learner will be able to construct right angles and right triangles from straight lines using wikki sticks, pipe cleaners, straws.
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 dimensional geometric shapes (e.g., hexagon, rhombus).
Strand Scope Source
Two-Dimensional Shapes Master PA: Academic Standards, January 16, 1999, Grade 3, p.16,2.9.3.C
  
Symmetry: Identify/Create/Draw
The learner will be able to identify, create, and draw lines of symmetry in figures.
Strand Scope Source
Symmetry Master PA: Academic Standards, January 16, 1999, Grade 3, p.16,2.9.3.E
  
Combine/Partition: Predict
The learner will be able to combine shapes to create new shapes by using concrete objects or drawings.
Strand Scope Source
Combine/Partition/Transform Master PA: Academic Standards, January 16, 1999, Grade 3, p.16,2.9.3.I
  
Polygons/Nonpolygons: Compare
The learner will be able to compare polygons and nonpolygons.
Strand Scope Source
Acute/Right/Obtuse Angles Master Bloomsburg Area School District(a)
  
3-D Shapes: Explore/Identify/Construct
The learner will be able to explore, identify, construct 3-D shapes.
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 measure and record the length of familiar objects to the nearest inch, foot, yard, centimeter, meter.
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 describe the various attributes of an object and identify how it can be measured (e.g. temperature, length, weight).
Strand Scope Source
Measurement: Application Master PA: Academic Standards, January 16, 1999, Grade 3, p.6,2.3.3.H
  
Money: Count/Compare/Change
The learner will be able to name and state the value (cent sign) of a penny, nickel, dime and quarter. (Count a given amount of money using pennies, nickels , dimes, quarters, and bills. Record using dollar/cent signs.
Strand Scope Source
Money Master PA: Academic Standards, January 16, 1999, Grade 3, p.2,2.1.3.E
  
Area: Find
The learner will be able to use concrete objects to investigate area.
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 measurement in everyday situations to measure to the nearest inch, foot, yard, centimeter, meter.
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, volume).
Strand Scope Source
Measurement: Analysis Master PA: Academic Standards, January 16, 1999, Grade 3, p.6,2.3.3.A
  
Time: Hour/Half Hour
The learner will be able to tell time to the hour, half hour, quarter hour, and nearest five minutes using analog and digital clocks; investigate AM and PM.
Strand Scope Source
Time Master PA: Academic Standards, January 16, 1999, Grade 3, p.6,2.3.3.D
  
Measurement: Calendar
The learner will be able to name and order the months of the year, locate and report the date (including month, day and year) on a calendar, and identify yesterday's and today's and tomorrow's date.
Strand Scope Source
Measurement: Application Develop PA: Academic Standards, January 16, 1999, Grade 3, 2.3.3 C
  
Tools: Name/Use
The learner will be able to name and use tools to measure length and weight.
Strand Scope Source
Accuracy Master Bloomsburg Area School District(a)
  
Thermometer/Map: Use
The learner will be able to use a thermometer with both Fahrenheit and celsius temperature scales; use a weather map.
Strand Scope Source
Accuracy Master Bloomsburg Area School District(a)
  
Money: Recognize/Identify
The learner will be able to recognize coins/bills and know their value; identify equivalencies and make coin/bill exchanges.
Strand Scope Source
Accuracy Master Bloomsburg Area School District(a)
  
Money: Identify/Explore
The learner will be able to identify pennies and dimes as fractional parts of a dollar; explore uses for decimals.
Strand Scope Source
Accuracy Master Bloomsburg Area School District(a)
  
Money: Add/Subtract
The learner will be able to add/subtract money amounts; use decimals.
Strand Scope Source
Accuracy Master Bloomsburg Area School District(a)
  
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Equivalent Forms: Illustrate/Apply
The learner will be able to represent equivalent forms of the same number through the use of concrete objects and drawings.
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
  
Properties: Investigate/Understand
The learner will be able to understand meaning of addition/subtraction; investigate properties of addition/subtraction.
Strand Scope Source
Cardinal Numbers Master Bloomsburg Area School District(a)
  
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Counting: Order/Group/Compare
The learner will be able to use concrete objects to count, order, compare and group one, two, and three digit numbers.
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 identify the numbers 0 to 20 and write numbers 0 to 20; read, write, and identify place value in 3, 4, and 5 digit numbers; make exchanges among place values.
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, and extend patterns based on shape, size, color or sound using concrete objects.
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 identify and explain pattern on a number 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 make estimates of objects in a set and verify.
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 quantities.
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 identify a pattern of numbers or objects and continue the pattern (corresponds to Standard 2.8.3.A).
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 use concrete objects (a set) into equal parts.
Strand Scope Source
Quantity Master PA: Academic Standards, January 16, 1999, Grade 3, p.2,2.1.3.B
  
Skip Counting: 1,2,5, 10's, 25's
The learner will be able to count up to 100 by 1's, 2's, 5's, 10's and 25's using whole numbers Count backwards from 20 to 0.
Strand Scope Source
Skip Counting Master PA: Academic Standards, January 16, 1999, Grade 3, p.2,2.1.3.A
  
Complements: Find/Use
The learner will be able to find and use complements of ten.
Strand Scope Source
Change Master Bloomsburg Area School District(a)
  
Numbers/Money: Compare
The learner will be able to compare numbers and money using the symbols less than, greater than, and equal.
Strand Scope Source
Change Master Bloomsburg Area School District(a)
  
Ordinal Numbers: Read/Write
The learner will be able to read and write ordinal numbers.
Strand Scope Source
Change Master Bloomsburg Area School District(a)
  
Even/Odd Numbers: Identify
The learner will be able to identify even and odd numbers.
Strand Scope Source
Change Master Bloomsburg Area School District(a)
  
Calculator: Use
The learner will be able to display and read numbers on a calculator; count using a calculator repeat key; add and subtract.
Strand Scope Source
Change Master Bloomsburg Area School District(a)
  
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Probability/Statistics
Chance: Predicting
The learner will be able to state and explain the likelihood of a chance event using the terms likely, unlikely, or certain.
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 state an opinion on whether a given statement is reasonable based on a comparison of data using the terms most, least, highest, lowest, more than and fewer than and equal.
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 and explain the possible results 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 identify a spinner which is fair and unfair.
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 use a chart or table that displays data over time and predict what will occur.
Strand Scope Source
Probability Master PA: Academic Standards, January 16, 1999, Grade 3, p.9,2.6.3.C
  
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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 create and solve story problems using number sentences and pictures.
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 identify what information is needed 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 strategy (e.g. pictures, guess and check) to solve problems.
Strand Scope Source
Problem Solving Master PA: Academic Standards, January 16, 1999, Grade 3, p.8,2.5.3.B
  
Mental Math: Use
The learner will be able to use mental math to add/subtract.
Strand Scope Source
Analyzing Problems Master Bloomsburg Area School District(a)
  
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Add/Subtract: 1-2 Digit/Vertical/Regroup
The learner will be able to determine the sum of 2 or 3 addends to 20 by using manipulatives, drawing pictures, and writing number sentences (calculate the difference of any two numbers to 18 without regrouping by using manipulatives, drawing pictures, writing number sentences, and using a number line and number grid (corresponds to Standard 2.2.3.A).
Strand Scope Source
Add/Subtract Whole Numbers Master PA: Academic Standards, January 16, 1999, Grade 3, p.4,2.2.3.B
  
Whole Numbers: Quantities
The learner will be able to order whole numbers from least to greatest.
Strand Scope Source
Whole Numbers Master PA: Academic Standards, January 16, 1999, Grade 3, p.19,2.11.3.A
  
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