
Bloomsburg Area School District 
Math 68  with Extended Math 
Mathematics  Grade 6 

Order of Operations: Simplify
The learner will be able to
apply rules of order of operations, including rules for exponents, to make numerical expressions less complex.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Order of Operations 
Knowledge 
Introduce 
2.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.B 
Classroom


Instructional Resources 

· 
Merrill PreAlgebra, A Problem Solving Approach, 1982, text [Work Books]. 
· 
Merrill Algebra One, 1990, text [Textbook]. 


Assessment Resources 

· 
Merrill PreAlgebra, A Problem Solving Approach, 1982, text [Work Books]. 


Equations: Unknown Quantities
The learner will be able to
apply the inverse relationship that exists between addition and subtraction and between multiplication and division, and exponentiation and root extraction to find unknown quantities in equations.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Equations 
Application 
Master 
2.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.G 
Classroom


Instructional Resources 

· 
Heath Math Connections, 1992, text [misc]. 
· 
When Are We Ever Gonna Have To Use This?, Dale Seymour, Third Edition, 1988, misc [Textbook]. 
· 
Holt Mathematics, Grade 6, 1978, text [Textbook]. 


Algebraic Concepts: Create/Interpret
The learner will be able to
create and interpret expressions and equations that illustrate problem scenarios.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Algebraic Concepts 
Synthesis 
Master 
2.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.13,2.8.8.C 
Classroom


Instructional Resources 

· 
Preparing for Math Tests, AGS, 1999, misc [Textbook]. 
· 
Preparing for the Terra Nova, AGS, 1999, misc [Textbook]. 
· 
Techniques of Problem Solving, Dale Seymour, misc [Textbook]. 


Equality/Inequality: Solution Methods
The learner will be able to
choose and apply a method to solve an equation, describe the solution and check the solution for accuracy.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Equality/Inequality 
Application 
Master 
2.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.13,2.8.8.E 
Classroom


Instructional Resources 

· 
Merrill Algebra One, 1990, text [Textbook]. 
· 
Algebra With Pizzazz A, Creative Pub, 1989, misc [Work Books]. 


Assessment Resources 

· 
Algebra With Pizzazz A, Creative Pub, 1989, misc [Work Books]. 


Algorithms: Create/Use/Describe
The learner will be able to
describe, use,apply algorithmic procedures for computing and approximating with whole numbers,fractions and decimals.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Algorithms 
Application 
Master 
2.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.7,2.4.8.D 
Classroom


Instructional Resources 

· 
Mathimagition Series AF, Creative Publications, 1983, misc [Textbook]. 
· 
StandardsBased Math, McGrawHill Children's Publishing, 2002, misc [Textbook]. 


Order of Operations: Applying Rules
The learner will be able to
use the rules of order of operations to obtain the value of expressions.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Order of Operations 
Application, Synthesis 
Master 
1.5 
PA: Academic Standards, January 16, 1999, Grade 8, p.4,2.2.8.A 
Classroom


Expressions: Expand
The learner will be able to
expand expressions that involve exponents.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Expressions 
Application 
Master 
1.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.E 
Classroom


Algebraic Concepts: Manipulatives
The learner will be able to
use manipulatives to represent algebraic concepts.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Algebraic Concepts 
Application 
Master 
0.5 
PA: Academic Standards, January 16, 1999, Grade 8, p.13,2.8.8.D 
Classroom


Variable
The learner will be able to
understand the basic concept of a variable as representing an unknown quantity.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Variable 
Comprehension 
Master 
0.3 
PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 26. 
Classroom


Instructional Resources 

· 
Assessment Strategies For Math, Walch Publishing, 2003, misc [Textbook]. 


Variable: Solving For
The learner will be able to
manipulate a given formula to solve for a specific variable.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Variable 
Application, Synthesis 
Master 
2.0 
PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 26. 
Classroom


Simplify Expressions: Exponents
The learner will be able to
simplify expressions that involve exponents.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Simplify Expressions 
Application 
Master 
1.5 
PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.E 
Classroom


Decimal Notation: Identify/Use
The learner will be able to
identify and use decimal notation.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Decimals 
Comprehension, Synthesis 
Develop 
2.0 
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 26. 
Classroom


Instructional Resources 

· 
Heath Math Connections, 1992, text [misc]. 
· 
Mathimagition Series AF, Creative Publications, 1983, misc [Textbook]. 
· 
Graph Paper Masters, Dale Seymour, 1989, worksheets [worksheets]. 
· 
Holt Mathematics, Grade 6, 1978, text [Textbook]. 


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 
Bloom's 
Scope 
Hours 
Source 
Activities 
Fractions 
Evaluation 
Master 
1.5 
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 26. 
Classroom


Instructional Resources 

· 
Heath Math Connections, 1992, text [misc]. 
· 
Preparing for Math Tests, AGS, 1999, misc [Textbook]. 
· 
Preparing for the Terra Nova, AGS, 1999, misc [Textbook]. 
· 
Understanding Fractions  Book 2, Dale Seymour, 1981, misc [Textbook]. 
· 
Holt Mathematics, Grade 6, 1978, text [Textbook]. 


Problem Solving: Represent/Real World
The learner will be able to
apply fraction representations to solve real world problems.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Problem Solving 
Application 
Master 
2.0 
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 26. 
Classroom


Instructional Resources 

· 
When Are We Ever Gonna Have To Use This?, Dale Seymour, Third Edition, 1988, misc [Textbook]. 
· 
Math Yellow Pages For Students and Teachers, Incentive Publications, 2002, misc [Textbook]. 
· 
Assessment Strategies For Math, Walch Publishing, 2003, misc [Textbook]. 
· 
Techniques of Problem Solving, Dale Seymour, misc [Textbook]. 


Functional Relationships: Analyze
The learner will be able to
analyze functional relationships to describe how a change in one quantity results in a change in another.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Functional Relationships 
Analysis 
Master 
1.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.14,2.8.8.J 
Classroom


Instructional Resources 

· 
Preparing for Math Tests, AGS, 1999, misc [Textbook]. 
· 
Preparing for the Terra Nova, AGS, 1999, misc [Textbook]. 
· 
StandardsBased Math, McGrawHill Children's Publishing, 2002, misc [Textbook]. 


Logic: Create Arguments
The learner will be able to
apply if...then statements in the creation of elementary valid arguments.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Logic 
Application 
Master 
0.8 
PA: Academic Standards, January 16, 1999, Grade 8, p.7,2.4.8.C 
Classroom


Instructional Resources 

· 
If You're Trying to Get Better Grades . . . This Book, Incentive Publications, 2003, misc [Textbook]. 
· 
Measuring Up to the Pennsylvania Academic Standards, Publishing Group, Inc., 2001, misc [Textbook]. 


Properties: Recognize/Name/Draw/List
The learner will be able to
recognize, name, draw, and list all the properties of squares, parallelograms, quadrilaterals, trapezoids, polygons, rectangles, rhombi, circles and triangles.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Properties of Figures 
Knowledge 
Master 
1.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.16,2.9.8.D 
Classroom


Instructional Resources 

· 
Heath Math Connections, 1992, text [misc]. 
· 
Holt Mathematics, Grade 6, 1978, text [Textbook]. 


Problem Solving: Relationships
The learner will be able to
make connections and determine relationships between geometry concepts in order to solve problems.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Problem Solving 
Application 
Master 
1.0 
PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 26. 
Classroom


Instructional Resources 

· 
When Are We Ever Gonna Have To Use This?, Dale Seymour, Third Edition, 1988, misc [Textbook]. 
· 
Techniques of Problem Solving, Dale Seymour, misc [Textbook]. 


Figures: Classify/Criterion
The learner will be able to
use a given criterion to classify figures.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Figures: Classify 
Analysis 
Master 
1.0 
PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 26. 
Classroom


Figures: Describing
The learner will be able to
describe object shapes.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Figures: Describe 
Comprehension 
Master 
1.0 
PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 26. 
Classroom


Instructional Resources 

· 
StandardsBased Math, McGrawHill Children's Publishing, 2002, misc [Textbook]. 


Congruence/Similarity: Polygons
The learner will be able to
explain why polygons may be classified as congruent or not congruent.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Congruence/Similarity/Symmetry 
Comprehension 
Master 
1.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.16,2.9.8.F 
Classroom


Congruent/Similar: Exploring Figures
The learner will be able to
explore concepts of congruent figures.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Congruence/Similarity/Symmetry 
Analysis 
Master 
1.0 
PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 26. 
Classroom


Congruence/Similarity: Classification
The learner will be able to
classify figures by congruence.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Congruence/Similarity/Symmetry 
Analysis 
Master 
1.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.17,2.9.8.K 
Classroom


Angles: Congruent
The learner will be able to
identify congruent angles.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Angles 
Knowledge 
Master 
1.0 
PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 26. 
Classroom


Angles: Compare
The learner will be able to
compare angles.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Angles 
Analysis 
Master 
0.5 
PA: Academic Standards, January 16, 1999, Grade 8, p.16,2.9.8.E 
Classroom


Symmetry
The learner will be able to
determine if a given shape is symmetrical.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Symmetry 
Application 
Master 
0.5 
PA: Academic Standards, January 16, 1999, Grade 8, p.17,2.9.8.K 
Classroom


Properties: Comparison
The learner will be able to
compare the properties of two and threedimensional shapes.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Properties of Figures 
Analysis 
Master 
0.5 
PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 26. 
Classroom


Problem Solving: Geometric Properties
The learner will be able to
apply geometric properties to solve problems.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Problem Solving 
Application 
Master 
1.5 
PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 26. 
Classroom


Polygons: Classify
The learner will be able to
classify familiar polygons as regular or irregular(up to a decagon).
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Polygons 
Analysis 
Master 
1.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.16,2.9.8.C 
Classroom


Instructional Resources 

· 
Mathimagition Series AF, Creative Publications, 1983, misc [Textbook]. 


Problem Solving: Mathematical/Real World
The learner will be able to
solve both mathematical and real world problems by applying concepts of and operations with integer numbers.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Problem Solving 
Application 
Master 
1.0 
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 26. 
Classroom


Instructional Resources 

· 
Heath Math Connections, 1992, text [misc]. 
· 
When Are We Ever Gonna Have To Use This?, Dale Seymour, Third Edition, 1988, misc [Textbook]. 
· 
Techniques of Problem Solving, Dale Seymour, misc [Textbook]. 


Integers: Number Lines
The learner will be able to
interpret real world scenarios involving integers presented on number lines.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Integers 
Analysis 
Master 
1.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.F 
Classroom


Instructional Resources 

· 
Merrill PreAlgebra, A Problem Solving Approach, 1982, text [Work Books]. 
· 
Merrill Algebra One, 1990, text [Textbook]. 
· 
Algebra With Pizzazz A, Creative Pub, 1989, misc [Work Books]. 
· 
PreAlgebra With Pizzazz BB, Creative Pub, 1978, misc [Textbook]. 


Assessment Resources 

· 
Merrill PreAlgebra, A Problem Solving Approach, 1982, text [Work Books]. 
· 
Algebra With Pizzazz A, Creative Pub, 1989, misc [Work Books]. 


Reasoning: Conjecture
The learner will be able to
formulate conjectures based on logical reasoning and use counterexamples to test conjectures.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Reasoning 
Synthesis 
Master 
0.8 
PA: Academic Standards, January 16, 1999, Grade 8, p.7,2.4.8.A 
Classroom


Instructional Resources 

· 
Measuring Up to the Pennsylvania Academic Standards, Publishing Group, Inc., 2001, misc [Textbook]. 


Relationships: Conclusion
The learner will be able to
arrive at a conclusion by combining numeric relationships.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Relationships 
Analysis 
Master 
1.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.7,2.4.8.B 
Classroom


Instructional Resources 

· 
If You're Trying to Get Better Grades . . . This Book, Incentive Publications, 2003, misc [Textbook]. 


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 
Bloom's 
Scope 
Hours 
Source 
Activities 
Units 
Application 
Master 
1.0 
PA: System of School Assessment, 1997, Grade 8, p.11,#2 week tested: 26. 
Classroom


Instructional Resources 

· 
Heath Mathematics Connections, Heath, 1992, text [Textbook]. 
· 
Preparing for Math Tests, AGS, 1999, misc [Textbook]. 
· 
Preparing for the Terra Nova, AGS, 1999, misc [Textbook]. 


Scale Models: Construct/Apply
The learner will be able to
construct and apply scale models.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Scale Drawings 
Application 
Master 
0.1 
PA: Academic Standards, January 16, 1999, Grade 8, p.6,2.3.8.G 
Classroom


Instructional Resources 

· 
Preparing for Math Tests, AGS, 1999, misc [Textbook]. 
· 
Holt Mathematics, Grade 6, 1978, text [Textbook]. 


Measurement: Approximate/Use/Explain
The learner will be able to
approximate, use, and explain measures of distance, rate, perimeter, area, capacity, weight, mass, and angles.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Measurement: Estimation 
Application 
Master 
2.5 
PA: Academic Standards, January 16, 1999, Grade 8, p.6,2.3.8.D 
Classroom


Instructional Resources 

· 
When Are We Ever Gonna Have To Use This?, Dale Seymour, Third Edition, 1988, misc [Textbook]. 
· 
StandardsBased Math, McGrawHill Children's Publishing, 2002, misc [Textbook]. 


Formulas: Develop
The learner will be able to
develop and/or apply formulas and methods for finding measurement values.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Formulas 
Synthesis 
Master 
2.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.6,2.3.8.A 
Classroom


Problem Solving: Rates
The learner will be able to
obtain solutions to problems by applying rates.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Problem Solving 
Application 
Master 
1.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.6,2.3.8.B 
Classroom


Instructional Resources 

· 
Merrill PreAlgebra, A Problem Solving Approach, 1982, text [Work Books]. 


Assessment Resources 

· 
Merrill PreAlgebra, A Problem Solving Approach, 1982, text [Work Books]. 


Perimeter: Application
The learner will be able to
solve real world application problems involving perimeter measurements.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Perimeter 
Application 
Master 
1.0 
PA: System of School Assessment, 1997, Grade 8, p.11,#2 week tested: 26. 
Classroom


Instructional Resources 

· 
Mathimagition Series AF, Creative Publications, 1983, misc [Textbook]. 


Area/Volume: Combine/Separate
The learner will be able to
solve for the area of the combination or separation of figures.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Perimeter/Area/Volume 
Application 
Master 
2.0 
PA: System of School Assessment, 1997, Grade 8, p.11,#2 week tested: 26. 
Classroom


Circumference: Application
The learner will be able to
solve real world application problems involving circumference measurements.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Circumference 
Application 
Master 
1.0 
PA: System of School Assessment, 1997, Grade 8, p.11,#2 week tested: 26. 
Classroom


Instructional Resources 

· 
Techniques of Problem Solving, Dale Seymour, misc [Textbook]. 


Measurement: Quantify Issues
The learner will be able to
quantify issues using measurement.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Measurement: Application 
Analysis 
Master 
1.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.7,2.4.8.F 
Classroom


Equivalent Forms: Represent/Use
The learner will be able to
display and/or apply numbers in many different equivalent forms.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Equivalent Forms 
Application 
Master 
2.5 
PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.A 
Classroom


Instructional Resources 

· 
Heath Mathematics Connections, Heath, 1992, text [Textbook]. 
· 
Preparing for the Terra Nova, AGS, 1999, misc [Textbook]. 
· 
Mathimagition Series AF, Creative Publications, 1983, misc [Textbook]. 
· 
StandardsBased Math, McGrawHill Children's Publishing, 2002, misc [Textbook]. 
· 
Holt Mathematics, Grade 6, 1978, text [Textbook]. 


Ratio/Proportion: Apply/Math Problems
The learner will be able to
use ratio and proportion in mathematical problem scenarios involving distance, rate,and time.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Ratio/Proportion 
Application 
Master 
0.5 
PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.D 
Classroom


Instructional Resources 

· 
When Are We Ever Gonna Have To Use This?, Dale Seymour, Third Edition, 1988, misc [Textbook]. 
· 
Techniques of Problem Solving, Dale Seymour, misc [Textbook]. 


Factors: Understand/Use
The learner will be able to
understand and use factors.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Factors 
Application 
Master 
1.0 
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 26. 
Classroom


Ratio/Proportion: Solve/Story Problems
The learner will be able to
obtain solutions to story problems using ratio and proportion.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Ratio/Proportion 
Application 
Master 
0.5 
PA: Academic Standards, January 16, 1999, Grade 8, p.4,2.2.8.B 
Classroom


Ratio/Proportion: Apply/Real World
The learner will be able to
apply ratio and proportion concepts to solve real world scenario problems.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Ratio/Proportion 
Application 
Master 
1.0 
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 26. 
Classroom


Multiples: Understand
The learner will be able to
demonstrate an understanding of multiples.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Multiples 
Comprehension 
Master 
2.0 
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 26. 
Classroom


Divisibility: Determine/Divide Evenly
The learner will be able to
determine which number is evenly divisible by a given number.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Divisibility 
Application 
Master 
2.5 
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 26. 
Classroom


Instructional Resources 

· 
Techniques of Problem Solving, Dale Seymour, misc [Textbook]. 
· 
Merrill Algebra One, 1990, text [Textbook]. 


Scientific Notation: Simplify/Expression
The learner will be able to
simplify numerical expressions involving scientific notation.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Scientific Notation 
Application 
Master 
1.5 
PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.B 
Classroom


Sequences: Reproduce/Extend/Create
The learner will be able to
reproduce, extend, and create sequences.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Sequences 
Synthesis 
Master 
0.8 
PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 26. 
Classroom


Instructional Resources 

· 
If You're Trying to Get Better Grades . . . This Book, Incentive Publications, 2003, misc [Textbook]. 
· 
Measuring Up to the Pennsylvania Academic Standards, Publishing Group, Inc., 2001, misc [Textbook]. 


Patterns: Explain/Generalize
The learner will be able to
explain, generalize, and gain knowledge of patterns, including linear, exponential and simple relationships.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Patterns 
Synthesis 
Master 
0.1 
PA: Academic Standards, January 16, 1999, Grade 8, p.13,2.8.8.B 
Classroom


Estimation: Tips/Discount
The learner will be able to
approximate the amount of tips and discounts applying ratios, proportions and percents.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Estimation 
Application 
Master 
1.5 
PA: Academic Standards, January 16, 1999, Grade 8, p.4,2.2.8.C 
Classroom


Instructional Resources 

· 
Heath Mathematics Connections, Heath, 1992, text [Textbook]. 
· 
When Are We Ever Gonna Have To Use This?, Dale Seymour, Third Edition, 1988, misc [Textbook]. 
· 
StandardsBased Math, McGrawHill Children's Publishing, 2002, misc [Textbook]. 
· 
Holt Mathematics, Grade 6, 1978, text [Textbook]. 


Estimation: Appropriate Uses
The learner will be able to
identify when estimation is appropriate, and understand the usefulness of an estimate as distinct from an exact answer.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Estimation 
Comprehension 
Master 
1.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.4,2.2.8.E 
Classroom


Instructional Resources 

· 
Preparing for Math Tests, AGS, 1999, misc [Textbook]. 
· 
Preparing for the Terra Nova, AGS, 1999, misc [Textbook]. 


Estimate/Problems: Use
The learner will be able to
use estimation in solving problems.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Estimate/Problems 
Application 
Master 
1.0 
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 26. 
Classroom


Instructional Resources 

· 
Techniques of Problem Solving, Dale Seymour, misc [Textbook]. 


Patterns: Analyze/Sequence/Series
The learner will be able to
analyze mathematical patterns such as sequences, series, and recursive patterns.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Patterns: Interpret/Analyze 
Analysis 
Master 
1.0 
PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 26. 
Classroom


Patterns: Extend/Infinitely
The learner will be able to
extend number or object patterns that can be infinitely continued.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Patterns 
Synthesis 
Master 
1.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.19,2.11.8.C 
Classroom


Estimation: Appropriateness
The learner will be able to
identify the appropriateness of overestimating or underestimating in computation.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Estimation 
Knowledge 
Master 
1.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.4,2.2.8.D 
Classroom


Instructional Resources 

· 
Assessment Strategies For Math, Walch Publishing, 2003, assessment [Textbook]. 


Number Line: Represent Integers
The learner will be able to
illustrate integers on a number line.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Number Lines 
Application 
Master 
1.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.F 
Classroom


Instructional Resources 

· 
Merrill PreAlgebra, A Problem Solving Approach, 1982, text [Work Books]. 
· 
Merrill Algebra One, 1990, text [Textbook]. 


Assessment Resources 

· 
Merrill PreAlgebra, A Problem Solving Approach, 1982, text [Work Books]. 


Rounding: Estimation
The learner will be able to
relate rounding skills to estimating possible outcomes of equations and estimations of size.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Rounding 
Analysis 
Master 
1.0 
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 26. 
Classroom


Number Sense: Applying
The learner will be able to
show an intuitive sense of what a percent is, and how percents are used in real world scenarios by completing sentences involving percentages with appropriate and reasonable choices.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Number Sense 
Application 
Master 

PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 26. 
Classroom


Instructional Resources 

· 
Heath Mathematics Connections, Heath, 1992, text [Textbook]. 
· 
Preparing for Math Tests, AGS, 1999, misc [Textbook]. 
· 
When Are We Ever Gonna Have To Use This?, Dale Seymour, Third Edition, 1988, misc [Textbook]. 
· 
Holt Mathematics, Grade 6, 1978, text [Textbook]. 


Communicating: Write/Percents
The learner will be able to
write percents.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Communicating 
Comprehension 
Master 
0.5 
Bloomsburg Area School District 
Classroom


Instructional Resources 

· 
Mathimagition Series AF, Creative Publications, 1983, misc [Textbook]. 


Decimal Percent of a Whole Number
The learner will be able to
determine the decimal percent of a whole number.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Calculate Percentages 
Application 
Master 
0.5 
Bloomsburg Area School District 
Classroom


Fractional Percent of a Whole Number
The learner will be able to
determine the fractional percent of a whole number.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Calculate Percentages 
Application 
Master 
0.5 
Bloomsburg Area School District 
Classroom


Percent/Percentage/Symbol
The learner will be able to
identify the definition of percent (one out of a hundred), percentage (part of a whole), and the percent symbol (%).
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Percent Representations 
Knowledge 
Master 
0.8 
Bloomsburg Area School District 
Classroom


Percent: Mental Math
The learner will be able to
calculate percents using mental math.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Calculate Percentages 
Application 
Master 
1.0 
Bloomsburg Area School District 
Classroom


Percent: Recognize Equivalent
The learner will be able to
identify the equivalent percent of a specific decimal or fraction.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Calculate Percentages 
Knowledge 
Master 
0.5 
Bloomsburg Area School District 
Classroom


Percents: Compare/Fractions
The learner will be able to
convert a given percentage to a fraction (or vice versa) in order to compare them.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Percent Representations 
Analysis 
Master 
1.0 
Bloomsburg Area School District 
Classroom


Problem Solving: Solution Strategies
The learner will be able to
develop strategies for solving problems involving percents.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Problem Solving 
Synthesis 
Master 
1.5 
Bloomsburg Area School District 
Classroom


Instructional Resources 

· 
Techniques of Problem Solving, Dale Seymour, misc [Textbook]. 


Percents: Convert to Decimals
The learner will be able to
convert from a percent to decimal representation of a number.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Percent Representations 
Synthesis 
Master 
0.5 
Bloomsburg Area School District 
Classroom


Mean/Median/Mode/Range/Quartiles
The learner will be able to
compare and contrast various plots of data by applying values of mean, median, mode and range.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Average/Median/Mode/Range 
Analysis 
Master 
2.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.9,2.6.8.A 
Classroom


Instructional Resources 

· 
Preparing for Math Tests, AGS, 1999, misc [Textbook]. 
· 
Math Yellow Pages For Students and Teachers, Incentive Publications, 2002, misc [Textbook]. 
· 
StandardsBased Math, McGrawHill Children's Publishing, 2002, misc [Textbook]. 
· 
Measuring Up to the Pennsylvania Academic Standards, Publishing Group, Inc., 2001, misc [Textbook]. 


Probability: Conjectures
The learner will be able to
formulate conjectures that have a basis in theoretical or experimental probability.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Probability 
Analysis 
Master 
0.1 
PA: Academic Standards, January 16, 1999, Grade 8, p.11,2.7.8.E 
Classroom


Instructional Resources 

· 
Middle Grades Assessments, Dale Seymour, 1999, assessment [Textbook]. 


Predictions: Probability
The learner will be able to
apply probability methods in the prediction of given event outcomes.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Predictions 
Application 
Master 
0.5 
PA: Academic Standards, January 16, 1999, Grade 8, p.11,2.7.8.E 
Classroom


Instructional Resources 

· 
Encyclopedia Of Math Topics And References, Dale Seymour, 1996, misc [Textbook]. 
· 
If You're Trying to Get Better Grades . . . This Book, Incentive Publications, 2003, misc [Textbook]. 


Data Analysis: Representation
The learner will be able to
study and/or illustrate data through the use of tables, charts, and graphs of many different types.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Data Analysis 
Application 
Master 
0.1 
PA: Academic Standards, January 16, 1999, Grade 8, p.11,2.7.8.B 
Classroom


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 
Bloom's 
Scope 
Hours 
Source 
Activities 
Probability/Statistics 
Application 
Master 
0.1 
PA: System of School Assessment, 1997, Grade 8, p.12,#4 week tested: 26. 
Classroom


Sampling: Design/Follow Through
The learner will be able to
design and follow through with a random sampling procedure.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Sampling 
Synthesis 
Master 
2.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.9,2.6.8.D 
Classroom


Solutions: Verify/Interpret
The learner will be able to
verify and interpret results by applying accurate mathematical language, notation, and illustrations, including numerical tables and equations, simple algebraic equations and formulas, charts, graphs and diagrams.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Solution 
Analysis 
Master 
2.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.8,2.5.8.B 
Classroom


Instructional Resources 

· 
Heath Mathematics Connections, Heath, 1992, text [Textbook]. 
· 
StandardsBased Math, McGrawHill Children's Publishing, 2002, misc [Textbook]. 
· 
Assessment Strategies For Math, Walch Publishing, 2003, assessment [Textbook]. 
· 
Measuring Up to the Pennsylvania Academic Standards, Publishing Group, Inc., 2001, misc [Textbook]. 
· 
Holt Mathematics, Grade 6, 1978, text [Textbook]. 


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 
Bloom's 
Scope 
Hours 
Source 
Activities 
Strategies 
Evaluation 
Master 
2.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.8,2.5.8.A 
Classroom


Instructional Resources 

· 
When Are We Ever Gonna Have To Use This?, Dale Seymour, Third Edition, 1988, misc [Textbook]. 
· 
Techniques of Problem Solving, Dale Seymour, misc [Textbook]. 


Strategies: Invent
The learner will be able to
formulate methods, materials, and strategies used to obtain solutions to problems.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Strategies 
Synthesis 
Master 
2.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.8,2.5.8.A 
Classroom


Problem Solving: Complex/NonRoutine
The learner will be able to
apply organization methods and a variety of strategies to solve complex and nonroutine problems.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Problem Solving 
Application 
Master 

PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 26. 
Classroom


Irrelevant Information: Identify
The learner will be able to
identify irrelevant information given in a story problem.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Irrelevant/Necessary Information 
Knowledge 
Master 
1.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.8,2.5.8.D 
Classroom


Instructional Resources 

· 
Preparing for Math Tests, AGS, 1999, misc [Textbook]. 
· 
Preparing for the Terra Nova, AGS, 1999, misc [Textbook]. 


Necessary Information: Solution
The learner will be able to
determine if further information is necessary in order to obtain problem solutions.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Irrelevant/Necessary Information 
Application 
Master 
1.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.8,2.5.8.D 
Classroom


Solutions: Justifying
The learner will be able to
justify a solution within a problem solving situation.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Solution 
Analysis 
Master 
1.5 
PA: Academic Standards, January 16, 1999, Grade 8, p.8,2.5.8.C 
Classroom


Strategies: Justify Reasoning
The learner will be able to
justify the reasoning behind using a specific problem solving strategy.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Strategies 
Evaluation 
Master 
2.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.8,2.5.8.C 
Classroom


Rational and Irrational Numbers


Operations: Rational Numbers
The learner will be able to
apply the four basic operations on rational (positive) numbers.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Operations 
Application 
Master 
7.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.4,2.2.8.A 
Classroom


Instructional Resources 

· 
Heath Mathematics Connections, Heath, 1992, text [Textbook]. 
· 
Mathimagition Series AF, Creative Publications, 1983, misc [Textbook]. 
· 
Holt Mathematics, Grade 6, 1978, text [Textbook]. 
· 
PreAlgebra With Pizzazz BB, Creative Pub, 1978, misc [Textbook]. 


Rational Numbers: Ordering
The learner will be able to
order a group of ( positive) rational numbers in the appropriate sequence.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Rational Numbers 
Analysis 
Master 
1.5 
PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.C 
Classroom


Problem Solving: Rational
The learner will be able to
obtain solutions to real world problems applying (positive) rational number concepts and operations.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Problem Solving 
Application 
Master 
2.0 
PA: Academic Standards, January 16, 1999, Grade 8, p.14,2.8.8.H 
Classroom


Instructional Resources 

· 
When Are We Ever Gonna Have To Use This?, Dale Seymour, Third Edition, 1988, misc [Textbook]. 
· 
Techniques of Problem Solving, Dale Seymour, misc [Textbook]. 


Operations: Add/Subtract/Multiply/Divide
The learner will be able to
add, subtract, multiply, and divide whole numbers within the context of numerical problems.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Operations 
Application 
Master 
2.0 
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 26. 
Classroom


Instructional Resources 

· 
Heath Mathematics Connections, Heath, 1992, text [Textbook]. 
· 
Mathimagition Series AF, Creative Publications, 1983, misc [Textbook]. 
· 
Graph Paper Masters, Dale Seymour, 1989, worksheets [worksheets]. 
· 
StandardsBased Math, McGrawHill Children's Publishing, 2002, misc [Textbook]. 
· 
Holt Mathematics, Grade 6, 1978, text [Textbook]. 


Add MultiDigit Numbers
The learner will be able to
perform the addition of multidigit numbers.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Add Whole Numbers 
Application 
Master 
1.0 
Bloomsburg Area School District 
Classroom


Divide MultiDigit Numbers
The learner will be able to
perform division of multidigit numbers.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Divide Whole Numbers 
Application 
Master 
1.0 
Bloomsburg Area School District 
Classroom


Multiply: Multiple Digit Numbers
The learner will be able to
perform multiplication of multiple digit numbers.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Multiply Whole Numbers 
Application 
Master 
1.0 
Bloomsburg Area School District 
Classroom


Subtraction: Regrouping Whole Numbers
The learner will be able to
identify a situation where regrouping is required.
Strand 
Bloom's 
Scope 
Hours 
Source 
Activities 
Subtract Whole Numbers 
Knowledge 
Master 
1.0 
Bloomsburg Area School District 
Classroom


