|
|
|
Bloomsburg Area School District |
|
Math 6-8 - with Extended Math |
|
Mathematics - Grade 7 |
|
|
Order of Operations: Simplify
The learner will be able to
apply rules of the order of operations, including rules for exponents, to make number and/or variable expressions less complex.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Order of Operations |
Comprehension |
Develop |
1.0 |
PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.B |
Classroom
|
|
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 |
|
Master |
|
PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.G |
Classroom
|
|
Algebraic Concepts: Create/Interpret
The learner will be able to
create and interpret expressions, equations, or inequalities that illustrate problem scenarios.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Algebraic Concepts |
|
Master |
|
PA: Academic Standards, January 16, 1999, Grade 8, p.13,2.8.8.C |
Classroom
|
| |
Instructional Resources |
| |
| · |
New Progress in Mathematics, Sadlier-Oxford, 1998, Textbook and Workbook [Textbook]. |
| · |
Merrill Pre-Algebra, A Problem Solving Approach, 1982, Workbook [Work Books]. |
| · |
Milliken Beginning Algebra, 1989, Workbook [Work Books]. |
| · |
New Progress in Mathematics, Sadlier-Oxford, 1998, Workbook [Textbook]. |
| · |
Pre-Algebra With Pizzazz AA, Creative Pub, 1989, Workbook [Work Books]. |
| · |
Holt Algebra 1, 1992, Textbook [Textbook]. |
|
| |
Assessment Resources |
| |
| · |
Merrill Pre-Algebra, A Problem Solving Approach, 1982, Workbook [Work Books]. |
|
|
Equality/Inequality: Solution Methods
The learner will be able to
choose and apply a method to solve an equation or inequality, describe the solution and check the solution for accuracy.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Equality/Inequality |
|
Master |
|
PA: Academic Standards, January 16, 1999, Grade 8, p.13,2.8.8.E |
Classroom
|
|
Algorithms: Create/Use/Describe
The learner will be able to
create, use, and describe algorithmic procedures for computing and approximating with whole numbers, fractions, decimals and integers.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Algorithms |
|
Master |
|
PA: Academic Standards, January 16, 1999, Grade 8, p.7,2.4.8.D |
Classroom
|
|
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 |
Master |
0.5 |
PA: Academic Standards, January 16, 1999, Grade 8, p.4,2.2.8.A |
Classroom
|
|
Equality: Relationships
The learner will be able to
demonstrate that an equality relationship between two quantities stays the same when changes are made as long as the change is made to both quantities.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Equations |
Application |
Master |
1.0 |
PA: Academic Standards, January 16, 1999, Grade 8, p.14,2.8.8.J |
Classroom
|
|
Inequalities: Interpret
The learner will be able to
interpret inequalities using tables and graphs as tools.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Inequalities |
Analysis |
Master |
1.0 |
PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 26. |
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 |
1.0 |
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 |
1.0 |
PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 26. |
Classroom
|
|
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 |
Master |
1.0 |
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 |
Application |
Master |
1.0 |
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 26. |
Classroom
|
| |
Instructional Resources |
| |
| · |
New Progress in Mathematics, Sadlier-Oxford, 1998, Textbook and Workbook [Textbook]. |
| · |
Heath Mathematics Connections, Heath, 1992, Textbook and Workbook [Textbook]. |
| · |
Holt School Mathematics, Grade 7, 1982, Texbook and Workbook [Textbook]. |
| · |
Holt School Mathematics, Grade 8, 1982, Textbook and Workbook [Textbook]. |
| · |
Merrill Pre-Algebra, A Problem Solving Approach, 1982, Workbook [Work Books]. |
| · |
Milliken Beginning Algebra, 1989, Workbook [Work Books]. |
| · |
Nasco's Pre-Algebra, 2003, Workbook [Work Books]. |
| · |
Middle School Math with Pizzazz, Creative Pub, 1989, Workbook [Work Books]. |
| · |
The Problem Solver, Creative Pub, 1998, Activities [Work Books]. |
| · |
Middle School Math Challenge, The Learning Works Inc, 1995, Workbook [Work Books]. |
| · |
Holt Algebra 1, 1992, Textbook [Textbook]. |
|
| |
Assessment Resources |
| |
| · |
Merrill Pre-Algebra, A Problem Solving Approach, 1982, Workbook [Work Books]. |
| · |
Nasco's Pre-Algebra, 2003, Workbook [Work Books]. |
|
|
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 Mathematics Connections, Heath, 1992, Textbook and Workbook [Textbook]. |
| · |
New Progress in Mathematics, Sadlier-Oxford, 1998, Textbook and Workbook [Textbook]. |
| · |
Holt School Mathematics, Grade 7, 1982, Textbook and Workbook [Textbook]. |
| · |
Holt School Mathematics, Grade 8, 1982, Textbook and Workbook [Textbook]. |
| · |
Middle School Math with Pizzazz, Creative Pub, 1989, Workbook [Work Books]. |
| · |
Middle School Math Challenge, The Learning Works Inc, 1995, Workbook [Work Books]. |
|
|
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 |
| |
| · |
Algebra With Pizzazz A, Creative Pub, 1989, Workbook [Work Books]. |
| · |
The Problem Solver, Creative Pub, 1998, Activities [Work Books]. |
| · |
Teaching Problem Solving Strategies, Addison Wesley, 1983, Worook [Work Books]. |
|
| |
Assessment Resources |
| |
| · |
Algebra With Pizzazz A, Creative Pub, 1989, Workbook [Work Books]. |
|
|
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 |
|
Master |
|
PA: Academic Standards, January 16, 1999, Grade 8, p.14,2.8.8.J |
Classroom
|
| |
Instructional Resources |
| |
| · |
New Progress in Mathematics, Sadlier-Oxford, 1998, Textbook and Workbook [Textbook]. |
| · |
Milliken Beginning Algebra, 1989, Workbook [Work Books]. |
| · |
Merrill Pre-Algebra, A Problem Solving Approach, 1982, Workbook [Work Books]. |
| · |
Pre-Algebra With Pizzazz AA, Creative Pub, 1989, Workbook [Work Books]. |
| · |
Algebra With Pizzazz A, Creative Pub, 1989, Workbook [Work Books]. |
| · |
Holt Algebra 1, 1992, Textbook [Textbook]. |
|
| |
Assessment Resources |
| |
| · |
Merrill Pre-Algebra, A Problem Solving Approach, 1982, Workbook [Work Books]. |
| · |
Algebra With Pizzazz A, Creative Pub, 1989, Workbook [Work Books]. |
|
|
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 |
|
Master |
|
PA: Academic Standards, January 16, 1999, Grade 8, p.7,2.4.8.C |
Classroom
|
|
Properties: Recognize/Name/Draw/List
The learner will be able to
recognize, name, draw, and list all the properties of squares, cubes, pyramids, parallelograms, quadrilaterals, trapezoids, polygons, rectangles, rhombi, circles, spheres, triangles, prisms, and cylinders.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Properties of Figures |
|
Master |
|
PA: Academic Standards, January 16, 1999, Grade 8, p.16,2.9.8.D |
Classroom
|
|
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 |
|
Master |
|
PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 26. |
Classroom
|
|
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
|
|
Congruence/Similarity: Polygons
The learner will be able to
explain why polygons may be classified as similar, congruent, or neither.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Congruence/Similarity/Symmetry |
Comprehension |
Master |
1.5 |
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 both congruent and similar 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 and/or similarity.
| 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
|
|
Lines: Draw/Transversal
The learner will be able to
draw a transversal.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Lines |
Application |
Master |
1.0 |
PA: Academic Standards, January 16, 1999, Grade 8, p.16,2.9.8.E |
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
|
| |
Instructional Resources |
| |
| · |
New Progress in Mathematics, Sadlier-Oxford, 1998, Textbook and Workbook [Textbook]. |
| · |
Heath Mathematics Connections, Heath, 1992, Textbook and Workbook [Textbook]. |
| · |
Holt School Mathematics, Grade 7, 1982, Textbook and Workbook [Textbook]. |
| · |
Holt School Mathematics, Grade 8, 1982, Textbook and Workbook [Textbook]. |
| · |
Middle School Math with Pizzazz, Creative Pub, 1989, Workbook [Work Books]. |
|
|
Tessellations: Representations
The learner will be able to
study objects to identify whether they represent tessellations.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Tessellations |
Analysis |
Master |
1.0 |
PA: Academic Standards, January 16, 1999, Grade 8, p.17,2.9.8.K |
Classroom
|
|
Inductive/Deductive Reasoning: Identify
The learner will be able to
identify the difference between inductive and deductive reasoning.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Reasoning |
Knowledge |
Master |
1.0 |
PA: Academic Standards, January 16, 1999, Grade 8, p.7,2.4.8.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 |
1.0 |
PA: Academic Standards, January 16, 1999, Grade 8, p.17,2.9.8.K |
Classroom
|
| |
Instructional Resources |
| |
| · |
Merrill Pre-Algebra, A Problem Solving Approach, 1982, Workbook [Work Books]. |
| · |
Milliken Beginning Algebra, 1989, Workbook [Work Books]. |
| · |
Pre-Algebra With Pizzazz AA, Creative Pub, 1989, Workbook [Work Books]. |
| · |
Algebra With Pizzazz A, Creative Pub, 1989, Workbook [Work Books]. |
| · |
Holt Algebra 1, 1992, Textbook [Textbook]. |
|
| |
Assessment Resources |
| |
| · |
Merrill Pre-Algebra, A Problem Solving Approach, 1982, Workbook [Work Books]. |
| · |
Algebra With Pizzazz A, Creative Pub, 1989, Workbook [Work Books]. |
|
|
Properties: Comparison
The learner will be able to
compare the properties of two- and three-dimensional shapes.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Properties of Figures |
Analysis |
Master |
2.0 |
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 |
2.0 |
PA: System of School Assessment, 1997, Grade 8, p.11,#3 week tested: 26. |
Classroom
|
| |
Instructional Resources |
| |
| · |
Strategies for Math..., Options Inc, 1997, Handouts [Textbook]. |
| · |
The Problem Solver, Creative Pub, 1998, Workbook [Work Books]. |
|
|
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 |
|
Master |
|
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 26. |
Classroom
|
| |
Instructional Resources |
| |
| · |
New Progress in Mathematics, Sadlier-Oxford, 1998, Workbook and Textbook [Textbook]. |
| · |
Heath Mathematics Connections, Heath, 1992, Workbook and Textbook [Textbook]. |
| · |
Merrill Pre-Algebra, A Problem Solving Approach, 1982, Workbook [Work Books]. |
| · |
Nasco's Pre-Algebra, 2003, Workbook [Work Books]. |
| · |
Pre-Algebra With Pizzazz AA, Creative Pub, 1989, Workbook [Work Books]. |
| · |
Algebra With Pizzazz A, Creative Pub, 1989, Workbook [Work Books]. |
| · |
Teaching Problem Solving Strategies, Addison Wesley, 1983, Workbook [Work Books]. |
| · |
The Problem Solver, Creative Pub, 1998, Activities [Work Books]. |
| · |
Middle School Math Challenge, The Learning Works Inc, 1995, Workbook [Work Books]. |
|
| |
Assessment Resources |
| |
| · |
Merrill Pre-Algebra, A Problem Solving Approach, 1982, Workbook [Work Books]. |
| · |
Nasco's Pre-Algebra, 2003, Workbook [Work Books]. |
| · |
Algebra With Pizzazz A, Creative Pub, 1989, Workbook [Work Books]. |
|
|
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
|
|
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 |
|
Master |
|
PA: Academic Standards, January 16, 1999, Grade 8, p.7,2.4.8.A |
Classroom
|
| |
Instructional Resources |
| |
| · |
New Progress in Mathematics, Sadlier-Oxford, 1998, Workbook and Textbook [Textbook]. |
| · |
Heath Mathematics Connections, Heath, 1992, Workbook and Textbook [Textbook]. |
| · |
Holt School Mathematics, Grade 7, 1982, Workbook and Textbook [Textbook]. |
| · |
Holt School Mathematics, Grade 8, 1982, Workbook and Textbook [Textbook]. |
| · |
Middle School Math with Pizzazz, Creative Pub, 1989, Workbook [Work Books]. |
|
|
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
|
|
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 |
|
Master |
|
PA: System of School Assessment, 1997, Grade 8, p.11,#2 week tested: 26. |
Classroom
|
|
Scale Models: Construct/Apply
The learner will be able to
construct and apply scale models.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Scale Drawings |
|
Master |
|
PA: Academic Standards, January 16, 1999, Grade 8, p.6,2.3.8.G |
Classroom
|
|
Measurement: Approximate/Use/Explain
The learner will be able to
approximate, use, and explain measures of distance, rate, perimeter, area, volume, capacity, weight, mass, and angles.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Measurement: Estimation |
|
Master |
|
PA: Academic Standards, January 16, 1999, Grade 8, p.6,2.3.8.D |
Classroom
|
|
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 |
|
Master |
|
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
|
|
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
|
|
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 |
| |
| · |
New Progress in Mathematics, Sadlier-Oxford, 1998, Textbook and Workbook [Textbook]. |
| · |
Heath Mathematics Connections, Heath, 1992, Textbook and Workbook [Textbook]. |
| · |
Holt School Mathematics, Grade 7, 1982, Textbook and Workbook [Textbook]. |
| · |
Holt School Mathematics, Grade 8, 1982, Textbook and Workbook [Textbook]. |
| · |
Middle School Math with Pizzazz, Creative Pub, 1989, Workbook [Work Books]. |
| · |
Strategies for Math..., Options Inc, 1997, Workbook [Textbook]. |
| · |
Teaching Problem Solving Strategies, Addison Wesley, 1983, Workbook [Work Books]. |
| · |
The Problem Solver, Creative Pub, 1998, Activities [Work Books]. |
| · |
Middle School Math Challenge, The Learning Works Inc, 1995, Workbook [Work Books]. |
|
|
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 |
|
Master |
|
PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.A |
Classroom
|
|
Ratio/Proportion: Apply/Math Problems
The learner will be able to
use ratio and proportion in mathematical problem scenarios involving distance, rate, time, and similar triangles.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Ratio/Proportion |
|
Master |
|
PA: Academic Standards, January 16, 1999, Grade 8, p.2,2.1.8.D |
Classroom
|
|
Factors: Understand/Use
The learner will be able to
understand and use factors.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Factors |
|
Master |
|
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 |
1.0 |
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 |
2.0 |
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 26. |
Classroom
|
| |
Instructional Resources |
| |
| · |
New Progress in Mathematics, Sadlier-Oxford, 1998, Textbook and Workbook [Textbook]. |
| · |
Heath Mathematics Connections, Heath, 1992, Textbook and Workbook [Textbook]. |
| · |
Holt School Mathematics, Grade 7, 1982, Textbook and Workbook [Textbook]. |
| · |
Holt School Mathematics, Grade 8, 1982, Textbook and Workbook [Textbook]. |
| · |
Middle School Math with Pizzazz, Creative Pub, 1989, Workbook [Work Books]. |
| · |
Strategies for Math..., Options Inc, 1997, Workbook [Textbook]. |
| · |
Teaching Problem Solving Strategies, Addison Wesley, 1983, Workbook [Work Books]. |
| · |
The Problem Solver, Creative Pub, 1998, Activities [Work Books]. |
| · |
Middle School Math Challenge, The Learning Works Inc, 1995, Workbook [Work Books]. |
|
|
Sequences: Reproduce/Extend/Create
The learner will be able to
reproduce, extend, and create sequences.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Sequences |
|
Master |
|
PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 26. |
Classroom
|
| |
Instructional Resources |
| |
| · |
Classroom Quickies, Critical Thinking Press, 1982, With Software [Work Books]. |
|
|
Patterns: Explain/Generalize
The learner will be able to
explain, generalize, and gain knowledge of patterns, including linear, exponential and simple quadratic relationships.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Patterns |
|
Master |
|
PA: Academic Standards, January 16, 1999, Grade 8, p.13,2.8.8.B |
Classroom
|
| |
Instructional Resources |
| |
| · |
Middle School Math Challenge, The Learning Works Inc, 1995, Workbook [Work Books]. |
|
|
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 |
|
Master |
|
PA: Academic Standards, January 16, 1999, Grade 8, p.4,2.2.8.C |
Classroom
|
|
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 |
|
Master |
|
PA: Academic Standards, January 16, 1999, Grade 8, p.4,2.2.8.E |
Classroom
|
|
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 |
| |
| · |
New Progress in Mathematics, Sadlier-Oxford, 1998, Textbook and Workbook [Textbook]. |
| · |
Heath Mathematics Connections, Heath, 1992, Textbook and Workbook [Textbook]. |
| · |
Holt School Mathematics, Grade 7, 1982, Textbook and Workbook [Textbook]. |
| · |
Holt School Mathematics, Grade 8, 1982, Textbook and Workbook [Textbook]. |
| · |
Merrill Pre-Algebra, A Problem Solving Approach, 1982, Workbook [Work Books]. |
| · |
Milliken Beginning Algebra, 1989, Workbook [Work Books]. |
| · |
Nasco's Pre-Algebra, 2003, Workbook [Work Books]. |
| · |
Middle School Math with Pizzazz, Creative Pub, 1989, Workbook [Work Books]. |
| · |
Pre-Algebra With Pizzazz AA, Creative Pub, 1989, Workbook [Work Books]. |
| · |
Algebra With Pizzazz A, Creative Pub, 1989, Workbook [Work Books]. |
| · |
Strategies for Math..., Options Inc, 1997, Workbook [Textbook]. |
| · |
Teaching Problem Solving Strategies, Addison Wesley, 1983, Workbook [Work Books]. |
| · |
The Problem Solver, Creative Pub, 1998, Activities [Work Books]. |
| · |
Holt Algebra 1, 1992, Textbook [Textbook]. |
|
| |
Assessment Resources |
| |
| · |
Merrill Pre-Algebra, A Problem Solving Approach, 1982, Workbook [Work Books]. |
| · |
Nasco's Pre-Algebra, 2003, Workbook [Work Books]. |
| · |
Algebra With Pizzazz A, Creative Pub, 1989, Workbook [Work Books]. |
|
|
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
|
| |
Instructional Resources |
| |
| · |
Middle School Math Challenge, The Learning Works Inc, 1995, Workbook [Work Books]. |
|
|
Patterns: Apply/Basic Number Theory
The learner will be able to
apply simple algebraic patterns to basic number theory.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Patterns |
Application |
Master |
1.0 |
PA: Academic Standards, January 16, 1999, Grade 8, p.13,2.8.8.A |
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
|
|
Number Lines: Plotting Points
The learner will be able to
plot points using a given number line.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Number Lines |
Application |
Master |
0.5 |
PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 26. |
Classroom
|
|
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
|
|
Number Lines: Problem Solving
The learner will be able to
solve real world problems using number lines.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Number Lines |
Application |
Master |
2.0 |
PA: System of School Assessment, 1997, Grade 8, p.12,#5 week tested: 26. |
Classroom
|
|
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 |
|
Master |
|
PA: System of School Assessment, 1997, Grade 8, p.11,#1 week tested: 26. |
Classroom
|
| |
Instructional Resources |
| |
| · |
New Progress in Mathematics, Sadlier-Oxford, 1998, Textbook and Workbook [Textbook]. |
| · |
Heath Mathematics Connections, Heath, 1992, Textbook and Workbook [Textbook]. |
| · |
Holt School Mathematics, Grade 7, 1982, Textbook and Workbook [Textbook]. |
| · |
Holt School Mathematics, Grade 8, 1982, Textbook and Workbook [Textbook]. |
| · |
Merrill Pre-Algebra, A Problem Solving Approach, 1982, Workbook [Work Books]. |
| · |
Milliken Beginning Algebra, 1989, Workbook [Work Books]. |
| · |
Nasco's Pre-Algebra, 2003, Workbook [Work Books]. |
| · |
Middle School Math with Pizzazz, Creative Pub, 1989, Workbook [Work Books]. |
| · |
Pre-Algebra With Pizzazz AA, Creative Pub, 1989, Workbook [Work Books]. |
| · |
Algebra With Pizzazz A, Creative Pub, 1989, Workbook [Work Books]. |
| · |
Strategies for Math..., Options Inc, 1997, Workbook [Textbook]. |
| · |
Teaching Problem Solving Strategies, Addison Wesley, 1983, Workbook [Work Books]. |
| · |
The Problem Solver, Creative Pub, 1998, Activities [Work Books]. |
| · |
Middle School Math Challenge, The Learning Works Inc, 1995, Workbook [Work Books]. |
| · |
Classroom Quickies, Critical Thinking Press, 1982, With Software [Work Books]. |
| · |
Holt Algebra 1, 1992, Textbook [Textbook]. |
|
| |
Assessment Resources |
| |
| · |
Merrill Pre-Algebra, A Problem Solving Approach, 1982, Workbook [Work Books]. |
| · |
Nasco's Pre-Algebra, 2003, Workbook [Work Books]. |
| · |
Algebra With Pizzazz A, Creative Pub, 1989, Workbook [Work Books]. |
|
|
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 |
|
Master |
|
PA: Academic Standards, January 16, 1999, Grade 8, p.11,2.7.8.E |
Classroom
|
|
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 |
|
Master |
|
PA: Academic Standards, January 16, 1999, Grade 8, p.11,2.7.8.E |
Classroom
|
|
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 |
|
Master |
|
PA: Academic Standards, January 16, 1999, Grade 8, p.11,2.7.8.B |
Classroom
|
| |
Instructional Resources |
| |
| · |
New Progress in Mathematics, Sadlier-Oxford, 1998, Textbook and Workbook [Textbook]. |
| · |
Heath Mathematics Connections, Heath, 1992, Textbook and Workbook [Textbook]. |
| · |
Holt School Mathematics, Grade 7, 1982, Textbook and Workbook [Textbook]. |
| · |
Holt School Mathematics, Grade 8, 1982, Textbook and Workbook [Textbook]. |
| · |
Middle School Math with Pizzazz, Creative Pub, 1989, Workbook [Work Books]. |
| · |
Strategies for Math..., Options Inc, 1997, Workbook [Textbook]. |
| · |
The Problem Solver, Creative Pub, 1998, Activtites [Work Books]. |
| · |
Teaching Problem Solving Strategies, Addison Wesley, 1983, Workbook [Work Books]. |
|
|
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 |
|
Master |
|
PA: System of School Assessment, 1997, Grade 8, p.12,#4 week tested: 26. |
Classroom
|
|
Sampling: Validity/Newspapers
The learner will be able to
determine if the sampling strategy described in studies published in local or national newspapers is valid.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Sampling |
Application |
Master |
1.0 |
PA: Academic Standards, January 16, 1999, Grade 8, p.9,2.6.8.G |
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 |
|
Master |
|
PA: Academic Standards, January 16, 1999, Grade 8, p.8,2.5.8.B |
Classroom
|
|
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 |
|
Master |
|
PA: Academic Standards, January 16, 1999, Grade 8, p.8,2.5.8.A |
Classroom
|
|
Strategies: Invent
The learner will be able to
invent methods, materials, and strategies used to obtain solutions to problems.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Strategies |
|
Master |
|
PA: Academic Standards, January 16, 1999, Grade 8, p.8,2.5.8.A |
Classroom
|
|
Problem Solving: Complex/Non-Routine
The learner will be able to
apply organization methods and a variety of strategies to solve complex and non-routine problems.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Problem Solving |
|
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
|
|
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 |
2.0 |
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 numbers.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Operations |
Application |
Master |
1.0 |
PA: Academic Standards, January 16, 1999, Grade 8, p.4,2.2.8.A |
Classroom
|
|
Rational Numbers: Ordering
The learner will be able to
order a group of rational numbers in the appropriate sequence.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Rational Numbers |
Analysis |
Master |
1.0 |
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 rational number concepts and operations.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Problem Solving |
Application |
Master |
1.0 |
PA: Academic Standards, January 16, 1999, Grade 8, p.14,2.8.8.H |
Classroom
|
|
|
Real Numbers and the Coordinate Plane
|
|
|
Graphing: Illustrate Relationships
The learner will be able to
illustrate relationships with tables or graphs in the coordinate plane, and verbal or symbolic rules.
| Strand |
Bloom's |
Scope |
Hours |
Source |
Activities |
| Graphing |
|
Master |
|
PA: Academic Standards, January 16, 1999, Grade 8, p.13,2.8.8.G |
Classroom
|
|
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
|
|
|
