Chalkboard
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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.

Made with Curriculum Designer
Made with
Curriculum Designer by
Scantron Corporation

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

Algebraic Concepts

Algebraic Concepts: Symbols/Objects
The learner will be able to use concrete objects to show equal and not equal.
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 trial and error to represent a number story.
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 concrete material to solve a problem.
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 use concrete objects to show joining (addition) of groups (sets) in quantities up to and including 5 (use concrete objects to show separating (subtraction) a group (set) in quantities up to and including 5).
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 using manipulatives demonstrate and orally explain single digit addition of sums to 10.
Strand Scope Source
Algorithms Master PA: Academic Standards, January 16, 1999, Grade 3, p.4,2.2.3.G
  
Missing Addend
The learner will be able to use manipulatives to determine a missing addend in a number sentence in which the sum is 10 or less.
Strand Scope Source
Missing Information Master PA: Academic Standards, January 16, 1999, Grade 3, p.13,2.8.3.C
  
Rote Count: 115
The learner will be able to rote count using whole numbers to 115 by ones and tens (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 identify faster and slower situations that occur in real life.
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, sort count, and display data using a pictograph.
Strand Scope Source
Tables/Charts Master PA: Academic Standards, January 16, 1999, Grade 3, p.13,2.8.3.G
  
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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 up to and including 20.
Strand Scope Source
Bar Graphs Master PA: Academic Standards, January 16, 1999, Grade 3, p.19,2.11.3.B
  
Graphs: Collect/Organize/Illustrate/Data
The learner will be able to gather, organize, sort, count and display data using pictures, given the framework for a bar graph and venn diagram.
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 using manipulatives, describe the data presented in a bar or pictograph.
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
  
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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 as part of a whole (1/2).
Strand Scope Source
Fraction Parts Master PA: Academic Standards, January 16, 1999, Grade 3, p.2,2.1.3.D
  
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Figures: Form/Check/Confirm
The learner will be able to verify predictions about quantity, size, and shape of solid objects by using concrete 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 identify two dimensional geometric shapes using concrete objects (e.g. pattern blocks).
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 name 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 construct angles from straight lines using wikki sticks and pipe cleaners.
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).
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 angles and 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 a circle, triangle, and square.
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 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 use concrete objects to create new shapes.
Strand Scope Source
Combine/Partition/Transform Master PA: Academic Standards, January 16, 1999, Grade 3, p.16,2.9.3.I
  
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Estimation: Standard/Nonstandard Units
The learner will be able to determine the length and height of objects with non-standard units (e.g. hands, shoe lengths, jelly beans).
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 identify different attributes of objects (e.g. color, shape, size).
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 identify and name pennies, nickel, and dime.
Strand Scope Source
Money Master PA: Academic Standards, January 16, 1999, Grade 3, p.2,2.1.3.E
  
Perimeter: Find
The learner will be able to measure perimeter using non standard units (walk hallway, room, playground, gymnasium, classroom).
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 nonstandard units to measure in everyday situations.
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 (temperature, length, weight, volume) using the words longer, shorter, hotter, colder, heavier, lighter, and the same.
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 using concrete objects to represent non-standard units, estimate the measurements up to 20 units.
Strand Scope Source
Measurement: Estimation Master PA: Academic Standards, January 16, 1999, Grade 3, p.6,2.3.3.G
  
Time: Hour
The learner will be able to tell time to the hour using analog clocks.
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 compare objects using terms same, longer, shorter, heavier, and lighter.
Strand Scope Source
Units Master PA: Academic Standards, January 16, 1999, Grade 3, p.6,2.3.3.E
  
Measurement: Calendar
The learner will be able to name and order the four seasons and days of the week.
Strand Scope Source
Measurement: Estimation Introduce PA: Academic Standards, January 16, 1999, Grade 3, 2.3.3 C
  
Money: Identify
The learner will be able to identify a ten dollar bill and one dollar bill, make exchanges.
Strand Scope Source
Accuracy Master Bloomsburg Area School District(a)
  
Money: Quarter/Fractions
The learner will be able to provide experiences with a quarter, introduce equivalent fractional terms; one-fourth, quarter of a dollar.
Strand Scope Source
Accuracy Master Bloomsburg Area School District(a)
  
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Counting: Order/Group
The learner will be able to use concrete objects to count, order, and group up to 115.
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 read numbers, display numbers as tens and ones, and write numbers from zero to twenty.
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: More/Less
The learner will be able to compare numbers up to 20 and label more than or less than.
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 up to and including 115 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 to 115.
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, shapes, 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
  
Quantity: Represent/Whole/Fraction
The learner will be able to use concrete objects to represent up to and including 20 (Divide concrete objects (a set) into equal parts (fair share) using terms whole, part and one-half.
Strand Scope Source
Quantity Master PA: Academic Standards, January 16, 1999, Grade 3, p.2,2.1.3.B
  
Skip Counting: 1's and 10's
The learner will be able to count using whole numbers by ones, twos, fives, and tens (Rote Counting) Count back-wards from 20 to 0.
Strand Scope Source
Skip Counting Master PA: Academic Standards, January 16, 1999, Grade 3, p.2,2.1.3.A
  
Numeration: Negatives/introduce
The learner will be able to introduce negative numbers, concept of zero and below using a thermometer.
Strand Scope Source
Change Master Bloomsburg Area School District(a)
  
Numeration: Write/Use/Read
The learner will be able to write, use, read three digit numbers.
Strand Scope Source
Change Master Bloomsburg Area School District(a)
  
Calculators: Use
The learner will be able to use calculators as a way of writing and seeing numbers, to match numbers with counting, count on, skip count, and explore place value.
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 events.
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.
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 draw 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, use dice to discuss probability.
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 that displays data and predict what will occur (e.g. milk count, temperature).
Strand Scope Source
Probability Master PA: Academic Standards, January 16, 1999, Grade 3, p.9,2.6.3.C
  
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Add/Subtract: 1-2 Digit/Vertical/Regroup
The learner will be able to use concrete objects to show joining (addition) of groups (sets) in quantities up to and including 20 (use concrete objects to show separating (subtraction) a group (set) in quantities up to and including 5 (corresponds to Standards 2.2.3.).
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 use concrete objects to use the concept of repeated subtraction.
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 order whole numbers from least to greatest value 0-100.
Strand Scope Source
Whole Numbers Master PA: Academic Standards, January 16, 1999, Grade 3, p.19,2.11.3.A
  
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Number Theory

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 use concrete objects to demonstrate 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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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 a simple story problem using concrete objects or 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. role play, making or using pictures) to solve a problem in the environment.
Strand Scope Source
Problem Solving Master PA: Academic Standards, January 16, 1999, Grade 3, p.8,2.5.3.A
  
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