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Bloomsburg Area School District |
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Math K-5 8/30/05 |
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Mathematics - Grade 4 |
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Number Sentence: Choose/Apply
The learner will be able to
choose and apply appropriate methods, including physical materials, to obtain solutions to number sentences and describe the method of solution.
| Strand |
Scope |
Source |
| Number Sentence |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.13,2.8.5.G |
|
Expressions: Create
The learner will be able to
create expressions that represent mathematical situations using physical objects and combinations of symbols and numbers.
| Strand |
Scope |
Source |
| Expressions |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.13,2.8.5.D |
|
Equality/Inequality: Describe
The learner will be able to
use information given in equations, inequalities, tables, or graphs in the description of a realistic scenario.
| Strand |
Scope |
Source |
| Equality/Inequality |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.13,2.8.5.F |
|
Variable
The learner will be able to
understand the basic concept of a variable as representing an unknown quantity.
| Strand |
Scope |
Source |
| Variable |
Master |
PA: System of School Assessment, 1997, Grade 5, p.12,#5 week tested: 26. |
|
Variable: Solving For
The learner will be able to
manipulate a given formula to solve for a specific variable.
| Strand |
Scope |
Source |
| Variable |
Master |
PA: System of School Assessment, 1997, Grade 5, p.12,#5 week tested: 26. |
|
Computation: Select
The learner will be able to
select a suitable computational strategy and explain why it is appropriate.
| Strand |
Scope |
Source |
| Computation |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.5,2.2.5.I |
|
Symbols: Explain
The learner will be able to
explain the application of combinations of symbols and numbers in expressions, equations, and inequalities.
| Strand |
Scope |
Source |
| Symbols |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.13,2.8.5.E |
|
Pattern: Rules
The learner will be able to
identify, describe, and apply rules for given patterns.
| Strand |
Scope |
Source |
| Absolute Value |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.13,2.8.5.C |
|
Pattern: Identify/Duplicate/Continue
The learner will be able to
identify, duplicate, continue, create, and describe patterns, sequences and relationships orally, numerically, symbolically and graphically, using many different materials.
| Strand |
Scope |
Source |
| Absolute Value |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.13,2.8.5.A |
|
Patterns: Geometric/Connections
The learner will be able to
connect patterns to geometric relations and basic number skills.
| Strand |
Scope |
Source |
| Absolute Value |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.13,2.8.5.B |
|
Coordinate Geometry: Locating
The learner will be able to
use coordinates to find points on a coordinate system.
| Strand |
Scope |
Source |
| Absolute Value |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.14,2.8.5.H |
|
Coordinate Plane: Identify Points
The learner will be able to
identify points on a coordinate plane.
| Strand |
Scope |
Source |
| Absolute Value |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.14,2.8.5.H |
|
|
Calculus and Pre-Calculus
|
|
|
Apply Calculus Concepts: Max/Min
The learner will be able to
determine maximum and minimum.
| Strand |
Scope |
Source |
| Applying Calculus Concepts |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.19,2.11.5.C |
|
Rates: Explain Relationship/Time
The learner will be able to
explain the relationship between rates of change and time.
| Strand |
Scope |
Source |
| Applying Calculus Concepts |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.19,2.11.5.D |
|
Bar Graphs: Recognize/Values
The learner will be able to
recognize least and greatest values illustrated in bar graphs and circle graphs.
| Strand |
Scope |
Source |
| Bar Graphs |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.19,2.11.5.B |
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Mean/Median/Mode/Range: Describe
The learner will be able to
apply the concepts of mean, median, mode, and/or range to make descriptions of data, justifying their actions, if necessary.
| Strand |
Scope |
Source |
| Analyzing/Evaluating Graphical Forms |
Develop |
PA: Academic Standards, January 16, 1999, Grade 5, p.9,2.6.5.B |
|
Data: Create/Defend Conclusions
The learner will be able to
create and defend simple conclusions that are based on data.
| Strand |
Scope |
Source |
| Analyzing/Evaluating Graphical Forms |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.9,2.6.5.E |
|
Data: Organize/Display/Collect
The learner will be able to
collect, organize and illustrate data using pictures, tallies, tables, charts, bar graphs, circle graphs and broken line graphs.
| Strand |
Scope |
Source |
| Analyzing/Evaluating Graphical Forms |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.9,2.6.5.A |
|
Venn Diagrams: Sort
The learner will be able to
use Venn diagrams to sort data.
| Strand |
Scope |
Source |
| Analyzing/Evaluating Graphical Forms |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.9,2.6.5.C |
|
Decimal Notation: Identify/Use
The learner will be able to
identify and use decimal notation.
| Strand |
Scope |
Source |
| Decimals |
Master |
PA: System of School Assessment, 1997, Grade 5, p.11,#1 week tested: 26. |
|
Algorithms: Develop/Apply
The learner will be able to
develop and apply algorithms to obtain solutions to word problems that involve adding and subtracting with decimals with and without regrouping.
| Strand |
Scope |
Source |
| Add Decimals |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.4,2.2.5.B |
|
Mathematical Modeling:Decimal
The learner will be able to
illustrate decimals using models.
| Strand |
Scope |
Source |
| Add Decimals |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.2.2.1.5.D |
|
Fraction Notation: Evaluate
The learner will be able to
evaluate fraction notation in context as part of a whole, in division, or as a ratio.
| Strand |
Scope |
Source |
| Fractions |
Master |
PA: System of School Assessment, 1997, Grade 5, p.11,#1 week tested: 26. |
|
Problem Solving: Represent/Real World
The learner will be able to
apply fraction representations to solve real world problems.
| Strand |
Scope |
Source |
| Problem Solving |
Master |
PA: System of School Assessment, 1997, Grade 5, p.11,#1 week tested: 26. |
|
Algorithms: Develop/Apply
The learner will be able to
develop and apply algorithms to obtain solutions to word problems that involve adding and subtracting with fractions and mixed numbers that include like and unlike denominators.
| Strand |
Scope |
Source |
| Add Fractions |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.4,2.2.5.B, p.4,2.2.5.C |
|
Mathematical Modeling: Fraction
The learner will be able to
illustrate fractions using models.
| Strand |
Scope |
Source |
| Add Fractions |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.2,2.1.5.D |
|
Fractions: Convert
The learner will be able to
convert between fractions, decimals, and percentages.
| Strand |
Scope |
Source |
| Add Fractions |
Master |
Bloomsburg Area School District(a) |
|
Fractions: Find/compare/rename
The learner will be able to
find, compare, rename, and use fractions and mixed numbers.
| Strand |
Scope |
Source |
| Add Fractions |
Master |
Bloomsburg Area School District(a) |
|
Figures: Construct/Geoboard
The learner will be able to
create two-and three-dimensional shapes and figures using geoboards, manipulatives, and computer software.
| Strand |
Scope |
Source |
| Figures: Construct |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.E |
|
Figures: Identify/Properties
The learner will be able to
recognize geometric shapes and/or know the properties they may possess.
| Strand |
Scope |
Source |
| Figures |
Master |
PA: System of School Assessment, 1997, Grade 5, p.11,#3C week tested: 26. |
|
Planes/Points/Lines: Apply Concepts
The learner will be able to
apply the ideas of planes, points, rays, line segments and/or lines in one, two, and/or three dimensions.
| Strand |
Scope |
Source |
| Planes/Points/Lines |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.I |
|
Properties: Name/Identify/Apply
The learner will be able to
identify, name, and/or apply properties of geometric figures.
| Strand |
Scope |
Source |
| Properties of Figures |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.17,2.9.5.L |
|
Properties: Define
The learner will be able to
define the elementary properties of squares, pyramids, parallelograms, quadrilaterals, trapezoids, polygons, rectangles, rhombi, circles, triangles, cubes, prisms, spheres, and cylinders.
| Strand |
Scope |
Source |
| Properties of Figures |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.17,2.9.5.J |
|
Lines/Angles: Identify/Apply
The learner will be able to
identify real world examples of different types of lines and angles and apply them in problem solving or creative projects.
| Strand |
Scope |
Source |
| Lines/Angles/Polygons |
Master |
PA: System of School Assessment, 1997, Grade 5, p.11,#1 week tested: 26. |
|
Figures: Describe/Constructing
The learner will be able to
give word descriptions of how geometric shapes are constructed.
| Strand |
Scope |
Source |
| Figures: Describe |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.D |
|
Vocabulary: Compose/Definitions
The learner will be able to
compose definitions for familiar geometric figures.
| Strand |
Scope |
Source |
| Figures: Vocabulary |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.A |
|
Solids: Real World
The learner will be able to
identify three-dimensional solids in his/her environment.
| Strand |
Scope |
Source |
| Three-Dimensional Solids |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.F |
|
Shapes: Identify/Circle
The learner will be able to
identify a circle.
| Strand |
Scope |
Source |
| Two-Dimensional Shapes |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.C |
|
Triangles: Compare
The learner will be able to
make comparisons of triangles based upon their sides or angles.
| Strand |
Scope |
Source |
| Triangles |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.B |
|
Triangles: Classify
The learner will be able to
classify triangles according to their side lengths and angle measures.
| Strand |
Scope |
Source |
| Triangles |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.B |
|
Transformation: Interpret
The learner will be able to
develop interpretations of simple transformations of figures in the coordinate plane.
| Strand |
Scope |
Source |
| Transformations |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.17,2.9.5.K |
|
Point/Line/Plane: Represent
The learner will be able to
draw representations of the terms (point, line, rays, line segments and plane) of geometry.
| Strand |
Scope |
Source |
| Planes/Points/Lines |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.I |
|
Rotation: Analyze/Line Segments
The learner will be able to
study the rotations of line segments and geometric figures.
| Strand |
Scope |
Source |
| Rotations |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.17,2.9.5.K |
|
Constructions: 2-D
The learner will be able to
construct two-dimensional shapes through the use of physical materials.
| Strand |
Scope |
Source |
| Constructions |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.E |
|
Constructions: 3-D
The learner will be able to
construct three-dimensional shapes through the use of physical materials.
| Strand |
Scope |
Source |
| Constructions |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.E |
|
Right Triangle: Create/Geoboard
The learner will be able to
use a geoboard to create right triangles.
| Strand |
Scope |
Source |
| Right Triangles |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.18,2.10.5.B |
|
Quadrilaterals: Compare
The learner will be able to
make comparisons of quadrilaterals based upon their sides or angles.
| Strand |
Scope |
Source |
| Quadrilaterals |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.B |
|
Quadrilaterals: Classify
The learner will be able to
classify quadrilaterals based upon their sides or angles.
| Strand |
Scope |
Source |
| Quadrilaterals |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.B |
|
Right Triangles/Parts
The learner will be able to
identify and compare parts of right triangles, including right angles, acute angles, hypotenuse, and legs.
| Strand |
Scope |
Source |
| Right Triangles |
Master |
PA: Academic Standards, Grade 5, p.18. 2.10.5A |
|
tessellations/Frieze patterns: Define
The learner will be able to
define and create tessellations/frieze patterns.
| Strand |
Scope |
Source |
| Acute/Right/Obtuse Angles |
Master |
Bloomsburg Area School District(a) |
|
Congruent/similar: Identify/draw
The learner will be able to
identify and draw congruent and similar figures.
| Strand |
Scope |
Source |
| Acute/Right/Obtuse Angles |
Master |
Bloomsburg Area School District(a) |
|
Line segments/Points: Identify
The learner will be able to
identify parallel/nonparallel line segments.
| Strand |
Scope |
Source |
| Acute/Right/Obtuse Angles |
Master |
Bloomsburg Area School District(a) |
|
Angles: Measure/Draw
The learner will be able to
use full circle and half circle protractors to measure and draw angles within 2 degrees.
| Strand |
Scope |
Source |
| Acute/Right/Obtuse Angles |
Master |
Bloomsburg Area School District(a) |
|
Units: Tools
The learner will be able to
choose the most suitable tools and units in problem solving situations that may require estimation and measurement, and relate methods used in problem solving using technology as appropriate.
| Strand |
Scope |
Source |
| Units |
Master |
PA: System of School Assessment, 1997, Grade 5, p.11,#1 week tested: 26. |
|
Units
The learner will be able to
obtain solutions to and approximate suitable answers for problems that use metric and/or customary measurement units.
| Strand |
Scope |
Source |
| Units |
Master |
PA: System of School Assessment, 1997, Grade 5, p.11,#1 week tested: 26. |
|
Perimeter/Area/Volume: Exact/Estimate
The learner will be able to
find or estimate the area, perimeter, and volume of shapes as necessary.
| Strand |
Scope |
Source |
| Perimeter/Area/Volume |
Master |
PA: System of School Assessment, 1997, Grade 5, p.11,2 week tested: 26. |
|
Measurement: Add/Subtract
The learner will be able to
perform addition and/or subtraction with measurement values, including weight and/or length.
| Strand |
Scope |
Source |
| Measurement: Application |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.6,2.3.5.E |
|
Measurement Estimate: Refine/Confirm
The learner will be able to
approximate, refine, and confirm specified measurements of objects.
| Strand |
Scope |
Source |
| Measurement: Estimation |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.6,2.3.5.C |
|
Accuracy
The learner will be able to
realize the degree of accuracy necessary in calculations is dependent upon how the results are going to be used and the tools used to find the measurements.
| Strand |
Scope |
Source |
| Accuracy |
Master |
PA: Curriculum Designer Standard |
|
Tools: Choose/Apply
The learner will be able to
choose and apply standard tools to measure the size of shapes to the given degree of accuracy, including length, width, perimeter, and area.
| Strand |
Scope |
Source |
| Tools/Instruments |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.6,2.3.5.B |
|
Length: Convert
The learner will be able to
convert units of length within either the customary or metric system.
| Strand |
Scope |
Source |
| Length |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.6,2.3.5.D |
|
Area: Estimate
The learner will be able to
estimate area as the sum of area of tiles.
| Strand |
Scope |
Source |
| Area |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.19,2.11.5.E |
|
Perimeter/Area: Relationship/Triangles
The learner will be able to
explain the relationship between the perimeter and area of triangles.
| Strand |
Scope |
Source |
| Perimeter/Area/Volume |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.H |
|
Perimeter/Area: Relationship/Quad
The learner will be able to
explain the relationship between the perimeter and area of quadrilaterals.
| Strand |
Scope |
Source |
| Perimeter/Area/Volume |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.16,2.9.5.H |
|
Volume: Estimate
The learner will be able to
estimate volume as the sum of volumes of cubes.
| Strand |
Scope |
Source |
| Volume |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.19,2.11.5.E |
|
Measurement: Select Units/Tools
The learner will be able to
select suitable units and tools to measure quantities.
| Strand |
Scope |
Source |
| Measurement: Application |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.6,2.3.5.A |
|
Communicating: Relationships
The learner will be able to
explain the relationship between the size of the unit of measurement and the estimate of the areas and volumes.
| Strand |
Scope |
Source |
| Communicating Measurement Concepts |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.19,2.11.5.F |
|
Instruments: Use/Appropriate
The learner will be able to
use the most appropriate instrument and unit to measure.
| Strand |
Scope |
Source |
| Tools/Instruments |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.6,2.3.5.A |
|
Weight/Volume/Length: Measure
The learner will be able to
measure weight, volume, and length using customary and metric units.
| Strand |
Scope |
Source |
| Accuracy |
Master |
Bloomsburg Area School District(a) |
|
Time: Calculate
The learner will be able to
calculate elapsed time.
| Strand |
Scope |
Source |
| Accuracy |
Master |
Bloomsburg Area School District(a) |
|
Number Forms: Apply/Negative Numbers
The learner will be able to
apply the simple concepts of negative numbers (temperature).
| Strand |
Scope |
Source |
| Number Forms |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.2,2.1.5.F |
|
Factors: Understand/Use
The learner will be able to
understand and use factors.
| Strand |
Scope |
Source |
| Factors |
Master |
PA: System of School Assessment, 1997, Grade 5, p.11,#1 week tested: 26. |
|
Number Theory Concepts: Develop/Apply
The learner will be able to
develop and apply number theory concepts (factors, multiples) to illustrate numbers in many different ways.
| Strand |
Scope |
Source |
| Number Theory |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.2,2.1.5.G |
|
Expanded Notation: Write/Whole Numbers
The learner will be able to
write whole numbers (through at least billions) in expanded notation.
| Strand |
Scope |
Source |
| Expanded Notation |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.2,2.1.5.A |
|
Primes/Composites: Describe
The learner will be able to
explore the idea of prime and composite numbers.
| Strand |
Scope |
Source |
| Prime/Composite Numbers |
Introduce |
PA: Academic Standards, January 16, 1999, Grade 5, p.2,2.1.5.E |
|
Multiples: Understand
The learner will be able to
demonstrate an understanding of multiples.
| Strand |
Scope |
Source |
| Multiples |
Master |
PA: System of School Assessment, 1997, Grade 5, p.11,#1 week tested: 26. |
|
Number Theory: Rename/Quantity
The learner will be able to
use number theory concepts to rename a number quantity (e.g., six, 6, 3 x 2, 10 - 4, 12/2).
| Strand |
Scope |
Source |
| Number Theory |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.2,2.1.5.B |
|
Mathematical Operations/Situations
The learner will be able to
demonstrate that mathematical operations can represent a variety of problem situations.
| Strand |
Scope |
Source |
| Number Theory |
Master |
PA: Academic Standardds, Grade 5, p.2.2.1.5.C |
|
Digit value: Read/write/name
The learner will be able to
read, write, name the value of digits in numbers to billions.
| Strand |
Scope |
Source |
| Cardinal Numbers |
Master |
Bloomsburg Area School District(a) |
|
Exponents: Rename
The learner will be able to
rename numbers written in exponential notation.
| Strand |
Scope |
Source |
| Cardinal Numbers |
Master |
Bloomsburg Area School District(a) |
|
Mental Math: Computations
The learner will be able to
perform mental computations through the use of various strategies that may include multiples of ten, powers of ten, compensation, breaking apart numbers, or compatible numbers.
| Strand |
Scope |
Source |
| Mental Math |
Master |
PA: Curriculum Designer |
|
Estimate/Problems: Use
The learner will be able to
use estimation in solving problems.
| Strand |
Scope |
Source |
| Estimate/Problems |
Master |
PA: System of School Assessment, 1997, Grade 5, p.11,#1 week tested: 26. |
|
Estimate/Problems: Time/Money
The learner will be able to
apply estimation methods to many different problems including time and money problems.
| Strand |
Scope |
Source |
| Estimate/Problems |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.5,2.2.5.G |
|
Quantity: Compare
The learner will be able to
make comparisons of quantity of numbers.
| Strand |
Scope |
Source |
| Quantity |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.7,2.4.5.A |
|
Comparison: Numbers
The learner will be able to
compare numbers.
| Strand |
Scope |
Source |
| Comparison |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.19,2.11.5.A |
|
Estimation: Evaluate Reasonableness
The learner will be able to
evaluate the reasonableness of sums, differences, products, and quotients of whole number operations by using a variety of estimation strategies.
| Strand |
Scope |
Source |
| Estimation |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.4,2.2.5.E |
|
Rounding: Demonstrate Skills
The learner will be able to
demonstrate the skills necessary to round numbers.
| Strand |
Scope |
Source |
| Rounding |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.4,2.2.5.D |
|
Rounding: Estimation
The learner will be able to
relate rounding skills to estimating possible outcomes of equations and estimations of size.
| Strand |
Scope |
Source |
| Rounding |
Master |
PA: System of School Assessment, 1997, Grade 5, p.11,#1 week tested: 26. |
|
Magnitude: Compare
The learner will be able to
make comparisons of the magnitudes of numbers.
| Strand |
Scope |
Source |
| Magnitude |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.7,2.4.5.A |
|
Predictions: Check/Confirm
The learner will be able to
apply models, number facts, properties and relationships to check and confirm predictions and explain reasoning.
| Strand |
Scope |
Source |
| Predictions |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.7,2.4.5.B |
|
Impossible/Certain Events: Predict
The learner will be able to
predict and identify why some outcomes are certain, more likely, less likely, equally likely or impossible.
| Strand |
Scope |
Source |
| Impossible/Certain Events |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.11,2.7.5.H |
|
Probability/Statistics: Problem Solving
The learner will be able to
understand and use basic probability and statistics concepts to solve both real world and theoretical problems.
| Strand |
Scope |
Source |
| Probability/Statistics |
Master |
PA: System of School Assessment, 1997, Grade 5, p.12,#4 week tested: 26. |
|
Probability: Determine
The learner will be able to
identify the probability of an event involving "and", "or" or "not".
| Strand |
Scope |
Source |
| Probability |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.11,2.7.5.G |
|
Probability: Simple Event
The learner will be able to
determine the probability of a simple event.
| Strand |
Scope |
Source |
| Probability |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.11,2.7.5.E |
|
Probability
The learner will be able to
illustrate and/or display probability measures as fraction and decimals.
| Strand |
Scope |
Source |
| Probability |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.11,2.7.5.C |
|
Probability: Predict
The learner will be able to
predict the probability a situation will occur based on the analysis of data.
| Strand |
Scope |
Source |
| Probability |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.9,2.6.5.D |
|
Predictions: Simulations
The learner will be able to
perform simulations with concrete devices (spinners, dice, etc.) to predict the probability of the occurring of an event.
| Strand |
Scope |
Source |
| Predictions |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.11,2.7.5.A |
|
Statistics: Quantify Issues
The learner will be able to
quantify issues using statistics.
| Strand |
Scope |
Source |
| Statistics |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.7,2.4.5.F |
|
Combinations: Find All
The learner will be able to
determine all combinations and arrangements that have a limited number of variables.
| Strand |
Scope |
Source |
| Combinations |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.12,2.7.5.I |
|
Experiments: Pattern
The learner will be able to
identify patterns formed as a result of an experiment.
| Strand |
Scope |
Source |
| Experiments |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.11,2.7.5.F |
|
Experiments: Describe
The learner will be able to
describe the relationship between experimental results and the mathematical expectations.
| Strand |
Scope |
Source |
| Experiments |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.11,2.7.5.D |
|
Trees: Create
The learner will be able to
make tree diagrams.
| Strand |
Scope |
Source |
| Trees |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.12,2.7.5.J |
|
Tree Diagrams
The learner will be able to
use tree diagrams to represent possible outcomes.
| Strand |
Scope |
Source |
| Trees |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.12,2.7.5.J |
|
Probability Concepts: Spinners
The learner will be able to
identify the fairness of the design of a spinner.
| Strand |
Scope |
Source |
| Probability Concepts |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.11,2.7.5.B |
|
Logic: Interpret Statements
The learner will be able to
analyze and/or understand statements that are constructed with the specific language of logic, including the terms all, every, none, some, and/or many.
| Strand |
Scope |
Source |
| Average/Median/Mode/Range |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.7,2.4.5.E |
|
Inductive/Deductive: Conclusions
The learner will be able to
form inductive and deductive conclusions within mathematical contexts.
| Strand |
Scope |
Source |
| Average/Median/Mode/Range |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.7,2.4.5.C |
|
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 5, p.8,2.5.5.A |
|
Solutions: Extend/Generalize
The learner will be able to
connect, extend, and generalize solutions to problems to other ideas, problems and situations in mathematics.
| Strand |
Scope |
Source |
| Solution |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.8,2.5.5.D |
|
Strategies: Choose/Apply/Justify
The learner will be able to
choose, apply, and justify the methods, materials, and strategies used to obtain solutions to problems.
| Strand |
Scope |
Source |
| Strategies |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.8,2.5.5.E |
|
Analyzing Problems: Describe
The learner will be able to
use suitable mathematical terms, vocabulary, language symbols and graphs to clearly describe problem solutions.
| Strand |
Scope |
Source |
| Analyzing Problems |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.8,2.5.5.B |
|
Problem Solving: Planned Process
The learner will be able to
plan a process to solve a problem and implement that plan.
| Strand |
Scope |
Source |
| Problem Solving |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.8,2.5.5.A |
|
Necessary Information
The learner will be able to
identify the information needed to solve a problem.
| Strand |
Scope |
Source |
| Irrelevant/Necessary Information |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.8,2.5.5.A |
|
Irrelevant/Necessary Information
The learner will be able to
recognize irrelevant and/or needed information in problem solving situations.
| Strand |
Scope |
Source |
| Irrelevant/Necessary Information |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.7,2.4.5.D |
|
Solution: Reasonableness
The learner will be able to
evaluate the reasonableness of a given solution.
| Strand |
Scope |
Source |
| Solution |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.8,2.5.5.A |
|
Word Problems: Operations/Whole Numbers
The learner will be able to
obtain solutions to elementary word problems involving operations with whole numbers.
| Strand |
Scope |
Source |
| Word Problems |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.4,2.2.5.A |
|
Word Problems: Create
The learner will be able to
create word problems involving the four basic operations with whole numbers.
| Strand |
Scope |
Source |
| Word Problems |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.4,2.2.5.A |
|
Word Problems:Strategies
The learner will be able to
use appropriate problem solving strategies such as solving a simpler problem, drawing a picture or diagram, making a table, etc.
| Strand |
Scope |
Source |
| Word Problems |
Master |
PA: Academic Standards, Grade 5, p.8. 2.5.5.F |
|
Mathematical Concepts: Communication
The learner will be able to
demonstrate concepts in many different ways, including words, numbers, symbols, pictures, charts, graphs, tables, diagrams and models.
| Strand |
Scope |
Source |
| Analyzing Problems |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.8,2.5.5.C |
|
Ratios: Explore
The learner will be able to
explore uses and solve problems using rates and ratios.
| Strand |
Scope |
Source |
| Analyzing Problems |
Master |
Bloomsburg Area School District(a) |
|
Calculator: Fraction
The learner will be able to
show the ability to use fraction calculators to confirm conjectures and computations, and investigate complex problem solving situations.
| Strand |
Scope |
Source |
| Calculator Operations |
Develop |
PA: Academic Standards, January 16, 1999, Grade 5, p.5,2.2.5.F |
|
Calculator: Use
The learner will be able to
use a calculator to rename any fraction as a decimal or percent.
| Strand |
Scope |
Source |
| Algebra |
Master |
Bloomsburg Area School District(a) |
|
Operations: Add/Subtract/Multiply/Divide
The learner will be able to
add, subtract, multiply, and divide integers within the context of numerical problems using a variety of algorithms.
| Strand |
Scope |
Source |
| Operations |
Master |
PA: System of School Assessment, 1997, Grade 5, p.11,#1 week tested: 26. |
|
Algorithms: Describe
The learner will be able to
describe algorithms for multiplication and division.
| Strand |
Scope |
Source |
| Add Whole Numbers |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.5,2.2.5.H |
|
Modeling: Multiplication
The learner will be able to
illustrate the idea of multiplication as area, volume, array, change in size, rate factor, and/or repeated addition through the use of concrete models as well as pictorial and algebraic representations.
| Strand |
Scope |
Source |
| Add Whole Numbers |
Master |
PA: Academic Standards, January 16, 1999, Grade 5, p.8.2.2.5.H |
|
Parentheses: Use
The learner will be able to
use parentheses in number sentences.
| Strand |
Scope |
Source |
| Add Whole Numbers |
Master |
Bloomsburg Area School District(a) |
|
Decimals: Multiply/Divide
The learner will be able to
estimate, multiply, and divide decimals by whole numbers.
| Strand |
Scope |
Source |
| Add Whole Numbers |
Master |
Bloomsburg Area School District(a) |
|
Square Numbers: Identify/Investigate
The learner will be able to
identify and investigate square numbers.
| Strand |
Scope |
Source |
| Add Whole Numbers |
Master |
Bloomsburg Area School District(a) |
|
|
