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Mathematics
· Grade K
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· Grade 2
· Grade 3
· Grade 4
· Grade 5

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 2

Algebraic Concepts
Number Sentence: Solve
The learner will be able to solve number sentences using concrete objects and symbols (+, -, =).
Strand Scope Source
Number Sentence Master PA: Academic Standards, January 16, 1999, Grade 3, p.13,2.8.3.B
  
Algebraic Concepts: Symbols/Objects
The learner will be able to use concrete objects, number lines, number grids, calculators 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
  
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
  
Table/Chart: Collect/Display
The learner will be able to organize and compare data using bar graphs, tallies, frequency table, line plot, and/or pictographs.
Strand Scope Source
Tables/Charts Master PA: Academic Standards, January 16, 1999, Grade 3, p.13,2.8.3.G
  
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
  
Missing Addend
The learner will be able to use manipulatives to determine a missing addend in a number sentence and with parentheses.
Strand Scope Source
Missing Information Master PA: Academic Standards, January 16, 1999, Grade 3, p.13,2.8.3.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
  
Inverse Operations: Add/Subtract
The learner will be able to explain the inverse relationship that exists between addition and subtraction.
Strand Scope Source
Inverse Operations Master PA: Academic Standards, January 16, 1999, Grade 3, p.3,2.1.3.K
  
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
  
Multiplication/Division: Use/Illustrate
The learner will be able to use concrete objects to demonstrate repeated addition, subtraction, multiplication, division.
Strand Scope Source
Operations: Multiplication Master PA: Academic Standards, January 16, 1999, Grade 3, p.4,2.2.3.C
  
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
  
Basic Operations: Understand
The learner will be able to add and subtract two digit numbers mentally without regrouping.
Strand Scope Source
Basic Operations Master PA: Academic Standards, January 16, 1999, Grade 3, p.3,2.1.3.L
  
Operations: Understand
The learner will be able to understand the meaning of addition, subtraction, multiplication, and division.
Strand Scope Source
Absolute Value Master Bloomsburg Area School District(a)
  
Operations: Investigate
The learner will be able to investigate properties (commutative, zero, identity, etc.) of addition, subtraction, multiplication, division.
Strand Scope Source
Absolute Value Master Bloomsburg Area School District(a)
  
Operations: Practice
The learner will be able to practice addition, subtraction, multiplication, division facts.
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.
Strand Scope Source
Bar Graphs Master PA: Academic Standards, January 16, 1999, Grade 3, p.19,2.11.3.B
  
Logical Reasoning: Questions
The learner will be able to answer questions based on data from graphs.
Strand Scope Source
Logical Reasoning Master PA: Academic Standards, January 16, 1999, Grade 3, p.9,2.6.3.B
  
Graphs: Collect/Organize/Illustrate/Data
The learner will be able to gather, organize and display data using pictures, tallies, charts, bar graphs, maps and pictographs.
Strand Scope Source
Graphing Master PA: Academic Standards, January 16, 1999, Grade 3, p.9,2.6.3.A
  
Data Collection: Analysis
The learner will be able to collect and describe data using concepts of largest, smallest, most often, and middle.
Strand Scope Source
Data Collection and Classification Master PA: Academic Standards, January 16, 1999, Grade 3, p.11,2.7.3.D
  
Tables/Charts: Explain
The learner will be able to identify and interpret 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, median.
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 fraction as part of a whole (1/6, 1/8).
Strand Scope Source
Fraction Parts Master PA: Academic Standards, January 16, 1999, Grade 3, p.2,2.1.3.D
  
Fractions: Identify/meaning
The learner will be able to identify the meaning of fractions; numerator/denominator.
Strand Scope Source
Add Fractions Master Bloomsburg Area School District(a)
  
Equivalent: Find/compare
The learner will be able to find equivalent fractions; compare and order fractions.
Strand Scope Source
Add Fractions Master Bloomsburg Area School District(a)
  
Fractions: Understand
The learner will be able to understand that the amount represented by a fraction depends on the size of the whole.
Strand Scope Source
Add Fractions Master Bloomsburg Area School District(a)
  
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Functions: Study/Locate Points
The learner will be able to locate 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 use concrete objects to demonstrate function rule (e.g., input-output).
Strand Scope Source
Functions Master PA: Academic Standards, January 16, 1999, Grade 3, p.14,2.8.3.I
  
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Figures: Name/Label
The learner will be able to identify and label two dimensional shapes.
Strand Scope Source
Figures: Identify Master PA: Academic Standards, January 16, 1999, Grade 3, p.16,2.9.3.A
  
Figures: Form/Check/Confirm
The learner will be able to verify and explain predictions about quantity, size, and shape of objects.
Strand Scope Source
Figures Master PA: Academic Standards, January 16, 1999, Grade 3, p.7,2.4.3.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
  
Figures: Construct/Create
The learner will be able to draw and create two dimensional geometric shapes (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
  
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
  
Angles: Right/Real World
The learner will be able to identify and give examples of right angles in real life objects.
Strand Scope Source
Angles Master PA: Academic Standards, January 16, 1999, Grade 3, p.18,2.10.3.A
  
Right Angles: Model
The learner will be able to model right angles, triangles, and quadrilaterals using concrete objects.
Strand Scope Source
Angles Master PA: Academic Standards, January 16, 1999, Grade 3, p.18,2.10.3.B
  
Symmetry: Drawing/Create Lines
The learner will be able to identify/draw symmetrical figures/lines of symmetry.
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
  
Solids: Identify
The learner will be able to identify, compare, construct 3-D shapes (faces, edges, vertices).
Strand Scope Source
Acute/Right/Obtuse Angles Master Bloomsburg Area School District(a)
  
Polygons: Classify
The learner will be able to classify, name, and compare polygons and nonpolygons.
Strand Scope Source
Acute/Right/Obtuse Angles Master Bloomsburg Area School District(a)
  
Lines: Identify/Draw/Name/Model
The learner will be able to identify, draw, name, and model parallel and nonparallel lines.
Strand Scope Source
Acute/Right/Obtuse Angles Master Bloomsburg Area School District(a)
  
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Money: Count/Compare/Change
The learner will be able to count, compare, and make change from a group of coins/bills (Count a given amount of money. Record total using decimal, dollar, and cent sign.
Strand Scope Source
Money Master PA: Academic Standards, January 16, 1999, Grade 3, p.2,2.1.3.E
  
Perimeter/Area: Find/Compare
The learner will be able to find area and perimeter using physical objects.
Strand Scope Source
Perimeter/Area/Volume Master PA: Academic Standards, January 16, 1999, Grade 3, p.6,2.3.3.F
  
Measurement: Varied Attributes
The learner will be able to describe the different attributes of an object and how it can be measured (e.g. time, temperature, area, length, weight, perimeter).
Strand Scope Source
Measurement: Application Master PA: Academic Standards, January 16, 1999, Grade 3, p.6,2.3.3.H
  
Estimation: Standard/Nonstandard Units
The learner will be able to measure and record the length, temperature and weight of familiar objects to the nearest 1/2 in./cm. 5 degrees, pound or kilogram.
Strand Scope Source
Measurement: Estimation Master PA: Academic Standards, January 16, 1999, Grade 3, p.6,2.3.3.B
  
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.
  
Time: Minute
The learner will be able to tell time to the minute using both digital and analog clocks; identify time equivalencies; calculate elapsed time.
Strand Scope Source
Time Master PA: Academic Standards, January 16, 1999, Grade 3, p.6,2.3.3.D
  
Measurement: Apply/Real World
The learner will be able to use measurement in everyday situations to measure nearest lb/kg, 5 degrees, 1/2 inch, foot, meter, 1/2 cm, yard, decimeter, mile, kilometer.
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 measure objects to the nearest inch, centimeter, foot, meter, 1/2 inch, 1/2 cm, yard, decimeter, mile, kilometer.
Strand Scope Source
Measurement: Estimation Master PA: Academic Standards, January 16, 1999, Grade 3, p.6,2.3.3.G
  
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: Calendar
The learner will be able to project the date(s) for the following week/ name months.
Strand Scope Source
Accuracy Develop PA: Academic Standards, January 16, 1999, Grade 3, 2.3.3 C
  
Measure: Tools
The learner will be able to name tools to measure (pan balance, spring scale).
Strand Scope Source
Accuracy Master Bloomsburg Area School District(a)
  
Measurement equivalency: Identify
The learner will be able to identify equivalent customary and metric units of length, weight, and capacity.
Strand Scope Source
Accuracy Master Bloomsburg Area School District(a)
  
Tools/Units: Estimate/Find
The learner will be able to choose tools and appropriate units to measure volume, length, and weight.
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)
  
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Equivalent Forms: Illustrate/Apply
The learner will be able to represent equivalent forms of a whole number by 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, compare, and group up to 1000.
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 place value in two, three, and four digit numbers.
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, extend and replicate patterns based on shape, size, color or sound.
Strand Scope Source
Patterns: Identify/Describe/Continue Master PA: Academic Standards, January 16, 1999, Grade 3, p.13,2.8.3.A
  
Quantity: Represent/Whole/Fraction
The learner will be able to use concrete object to identify a mixed number as a whole and parts.
Strand Scope Source
Quantity Master PA: Academic Standards, January 16, 1999, Grade 3, p.2,2.1.3.B
  
Comparison: Numbers/Hundred Board
The learner will be able to identify odd and even numbers on a number board.
Strand Scope Source
Comparison Master PA: Academic Standards, January 16, 1999, Grade 3, p.2,2.1.3.F
  
Skip Counting: 2,3,5,10,25,100
The learner will be able to count using whole numbers to 1,000 by 2's, 3's, 5's, 10's, 25's and 100's.
Strand Scope Source
Skip Counting Master PA: Academic Standards, January 16, 1999, Grade 3, p.2,2.1.3.A
  
Patterns: Extend/Infinitely
The learner will be able to identify and extend a pattern of numbers or objects (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
  
Estimation: Appropriateness
The learner will be able to estimate quantities to the nearest 10's and 100's places (Round to the nearest 10).
Strand Scope Source
Estimation Master PA: Academic Standards, January 16, 1999, Grade 3, p.3,2.1.3.J
  
Estimation Strategies: Conclusions
The learner will be able to use rounding to the nearest 10 to estimate conclusions.
Strand Scope Source
Estimation Strategies Master PA: Academic Standards, January 16, 1999, Grade 3, p.4,2.2.3.E
  
Numbers: Read/Write
The learner will be able to read and write 2 through 5 digit numbers.
Strand Scope Source
Change Master Bloomsburg Area School District(a)
  
Ordinal/Roman Numerals: Read/Write
The learner will be able to read and write ordinal numerals; use roman numerals.
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)
  
Complements/Multiples: Find
The learner will be able to find complements of ten and multiples of ten.
Strand Scope Source
Change Master Bloomsburg Area School District(a)
  
Square Numbers: Investigate
The learner will be able to investigate square 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; find counting patterns using a calculator; 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 predict the likelihood of an event and verify the prediction.
Strand Scope Source
Chance Master PA: Academic Standards, January 16, 1999, Grade 3, p.11,2.7.3.A
  
Probability: Predict
The learner will be able to use a chart or table that displays data over time and predict what conditions will change the data.
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 demonstrate, solve, and describe story problems using addition or subtraction equations.
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 describe the information 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 select appropriate problem solving strategy (e.g. guess and check, working backwards) to solve problems.
Strand Scope Source
Problem Solving Master PA: Academic Standards, January 16, 1999, Grade 3, p.8,2.5.3.A
  
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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 order whole numbers from least to greatest to 1,000.
Strand Scope Source
Whole Numbers Master PA: Academic Standards, January 16, 1999, Grade 3, p.19,2.11.3.A
  
Multiples: Find
The learner will be able to find multiples of 10, 100, and 1000.
Strand Scope Source
Add Whole Numbers Master Bloomsburg Area School District(a)
  
Algorithms: Add/Subtract
The learner will be able to add and subtract two, three, and four digit numbers using algorithms.
Strand Scope Source
Add Whole Numbers Master Bloomsburg Area School District(a)
  
Add/Subtract: Estimate
The learner will be able to estimate in addition and subtraction.
Strand Scope Source
Add Whole Numbers Master Bloomsburg Area School District(a)
  
Positive/Negative Numbers: Add/Subtract
The learner will be able to add and subtract positive and negative numbers.
Strand Scope Source
Add Whole Numbers Master Bloomsburg Area School District(a)
  
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