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