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Bloomsburg Area School District |
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Math 9-12 10/22/04 |
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Mathematics - Conceptual Math II |
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Algebraic Concepts: Problem Scenarios
The learner will be able to
create expressions, equations, inequalities, o represent routine and non-routine problem scenarios.
| Strand |
Scope |
Source |
| Algebraic Concepts |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.13,2.8.11.D |
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Patterns: Analyze
The learner will be able to
study a given set of data for the existence of a pattern and illustrate the pattern algebraically and graphically.
| Strand |
Scope |
Source |
| Equality/Inequality |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.13,2.8.11.A |
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Computation: Develop/Apply
The learner will be able to
develop and apply computation ideas, operations and procedures with real numbers in problem solving situations.
| Strand |
Scope |
Source |
| Computation |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.4,2.2.11.A |
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Linear Equations: Solve
The learner will be able to
obtain solutions to linear equations.
| Strand |
Scope |
Source |
| Linear Equations |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.N |
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Linear Equations: Graph/Two-Variables
The learner will be able to
graph a linear equation in two variables.
| Strand |
Scope |
Source |
| Linear Equations |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.N |
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Computation: Error/Estimations
The learner will be able to
explain the amount of error that is possible when using estimation in computation.
| Strand |
Scope |
Source |
| Computation |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.4,2.2.11.D |
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Operations: Apply
The learner will be able to
apply operations such as opposite, reciprocal, absolute value, raising to a power, finding roots.
| Strand |
Scope |
Source |
| Operations |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.2,2.1.11.A |
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Functional Relationships: Represent
The learner will be able to
use tables, charts or graphs to represent a functional relationship.
| Strand |
Scope |
Source |
| Functional Relationships |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.Q |
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Relations: Analyze
The learner will be able to
study a relation, looking for the existence of either a direct or inverse variation, and illustrate it through algebraic or graphical means.
| Strand |
Scope |
Source |
| Relations |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.P |
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Graphing: Functions/Relations
The learner will be able to
graph both functions and relations within the coordinate plane.
| Strand |
Scope |
Source |
| Graphing Functions |
Master |
Bloomsburg Area School Dristrict |
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Representations: Problem Situations
The learner will be able to
use functions to represent problem situations.
| Strand |
Scope |
Source |
| Representations of Functions |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.15,2.8.11.R |
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Circles: Problem Solving
The learner will be able to
obtain solutions to problems involving circles using the properties of angles.
| Strand |
Scope |
Source |
| Circles |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.16,2.9.11.F |
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Geometric Concepts
The learner will be able to
understand and/or apply the concepts of solid, coordinate, and/or transformational geometry.
| Strand |
Scope |
Source |
| Geometric Concepts |
Master |
Bloomsburg Area School District |
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Constructions: Figures
The learner will be able to
use different transformations to construct a geometric figure and its image.
| Strand |
Scope |
Source |
| Constructions |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.17,2.9.11.H |
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Lines/Angles: Properties
The learner will be able to
understand and/or apply properties of lines and/or angles.
| Strand |
Scope |
Source |
| Lines/Angles/Polygons |
Master |
Bloomsburg Area School District |
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Angles: Complementary/Supplementary
The learner will be able to
identify, describe, and apply measures of complementary and supplementary angles.
| Strand |
Scope |
Source |
| Angles |
Master |
Bloomsburg Area School District |
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Solids: Visualize
The learner will be able to
visualize various 3 dimensional figures and their properties.
| Strand |
Scope |
Source |
| Three-Dimensional Solids |
Master |
Bloomsburg Area School District |
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Mathematical Concepts: Communication
The learner will be able to
apply symbols, mathematical terminology, standard notation, rules, graphing and other mathematical illustrations to communicate observations, predictions, ideas procedures, generalizations, and results.
| Strand |
Scope |
Source |
| Communication |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.8,2.5.11.B |
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Communication: Clearly
The learner will be able to
communicate mathematical procedures and results clearly, systematically, succinctly and accurately.
| Strand |
Scope |
Source |
| Communication |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.8,2.5.11.C |
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Perimeter/Area/Volume: Relating
The learner will be able to
analyze the perimeter, area, and volume of figures to determine not only how they are related, but also how changes in one attribute will affect the other attributes.
| Strand |
Scope |
Source |
| Perimeter/Area/Volume |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.C |
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Area/Perimeter: Problem Solving
The learner will be able to
develop an understanding of area and perimeter by applying various problem solving techniques.
| Strand |
Scope |
Source |
| Perimeter/Area/Volume |
Master |
PA: System of School Assessment, 1997, Grade 11, p.11,#2 week tested: 32. |
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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: Academic Standards, January 16, 1999, Grade 11, p.4,2.2.11.E |
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Accuracy: Choose/Apply Tools
The learner will be able to
choose and use suitable tools and units to measure to the degree of accuracy required in a particular scenario.
| Strand |
Scope |
Source |
| Accuracy |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.A |
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Measurement: Accuracy
The learner will be able to
measure an object to a given degree of accuracy.
| Strand |
Scope |
Source |
| Measurement: Application |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.D |
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Scale Drawing
The learner will be able to
use proportional relationships to determine actual measurements from a diagram or map drawn to scale.
| Strand |
Scope |
Source |
| Scale Drawings |
Master |
PA: System of School Assessment, 1997, Grade 11, p.11,#2 week tested: 32. |
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Angle Measure: Degrees
The learner will be able to
measure angles in degrees.
| Strand |
Scope |
Source |
| Angle Measurement |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.6,2.3.11.B |
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Volume: Application
The learner will be able to
solve real world application problems involving volume measurements.
| Strand |
Scope |
Source |
| Volume |
Master |
PA: System of School Assessment, 1997, Grade 11, p.11,#2 week tested: 32. |
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Area/Perimeter: Polygons
The learner will be able to
apply physical models and drawings in obtaining the perimeter and area of simple polygons using standard and nonstandard measurements.
| Strand |
Scope |
Source |
| Perimeter/Area/Volume |
Master |
Bloomsburg Area School District |
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Area/Volume: Length/Problems
The learner will be able to
apply the ideas of length, area, and volume to approximate and solve real world problems with focus on parallelograms, triangles, right rectangular prisms, circles, and right cylinders.
| Strand |
Scope |
Source |
| Perimeter/Area/Volume |
Master |
Bloomsburg Area School District |
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Number Systems: Applying Properties
The learner will be able to
understand and apply number systems and properties to model and solve problems including dealing with special number properties (i.e., 1, and 0).
| Strand |
Scope |
Source |
| Number Systems |
Master |
PA: System of School Assessment, 1997, Grade 11, p.11,#1 week tested: 32. |
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Number Sense: Display/Knowledge
The learner will be able to
display a knowledge of number sense.
| Strand |
Scope |
Source |
| Number Sense |
Master |
PA: System of School Assessment, 1997, Grade 11, p.11,#1 week tested: 32. |
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Ratio/Proportion: Apply/Real World
The learner will be able to
apply ratio and proportion concepts to solve real world scenario problems.
| Strand |
Scope |
Source |
| Ratio/Proportion |
Master |
PA: System of School Assessment, 1997, Grade 11, p.11,#1 week tested: 32. |
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Patterns: Generalize/Recognition
The learner will be able to
make generalizations based upon pattern recognition.
| Strand |
Scope |
Source |
| Patterns: Generalize |
Master |
PA: System of School Assessment, 1997, Grade 11, p.12,#5 week tested: 32. |
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Estimate/Problems: No Exact Results
The learner will be able to
make estimations and/or round-off to obtain problem solutions where exact results are not necessary.
| Strand |
Scope |
Source |
| Estimate/Problems |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.4,2.2.11.B |
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Patterns: Understand/Guess and Check
The learner will be able to
understand the application of the guess and check method when searching for patterns.
| Strand |
Scope |
Source |
| Patterns |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.9,2.6.11.F |
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Inverse and Direct Variation
The learner will be able to
describe the differences between inverse and direct variation, and find and explain the constant of variation.
| Strand |
Scope |
Source |
| Variations |
Master |
Bloomsburg Area School District |
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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 |
Scope |
Source |
| Number Sense |
Master |
PA: System of School Assessment, 1997, Grade 11, p.11,#1 week tested: 32. |
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Problem Solving: Discount/Interest/Tax
The learner will be able to
determine the operations necessary to solve problems with discounts, interest, and sales tax.
| Strand |
Scope |
Source |
| Cardinal Numbers |
Master |
Bloomsburg Area School District |
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Percent of a Number
The learner will be able to
calculate the percent of a number.
| Strand |
Scope |
Source |
| Calculate Percentages |
Master |
Bloomsburg Area School District |
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Percent One Number is of Another
The learner will be able to
calculate the percent one number is of another number.
| Strand |
Scope |
Source |
| Calculate Percentages |
Master |
Bloomsburg Area School District |
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Data: Statistical Measures
The learner will be able to
explain data as an example of distribution applying statistical measures of center and spread.
| Strand |
Scope |
Source |
| Data |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.9,2.6.11.A |
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Outcomes: Probability
The learner will be able to
apply experimental probability distributions to form opinions about the likelihood of different outcomes in uncertain situations.
| Strand |
Scope |
Source |
| Outcomes |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.11,2.7.11.D |
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Probability Distribution: Normal Curve
The learner will be able to
explain (in non-specific terms) the normal curve and use its attributes in answering questions about data that is assumed to be normally distributed.
| Strand |
Scope |
Source |
| Probability Distribution |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.10,2.6.11.I |
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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 11, p.12,#4 week tested: 32. |
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Problem Solving: Events
The learner will be able to
obtain solutions to problems involving independent simple events.
| Strand |
Scope |
Source |
| Problem Solving |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.11,2.7.11.E |
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Solutions: Summarize/Evaluate
The learner will be able to
finish a solution procedure with a summary of results and evaluate the degree to which the results are acceptable and validate reasoning.
| Strand |
Scope |
Source |
| Solution |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.8,2.5.11.D |
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Strategies: Choose/Apply
The learner will be able to
choose and apply appropriate mathematical concepts and strategies from various areas of mathematics and use them to solve non-routine and multi-step problems.
| Strand |
Scope |
Source |
| Strategies |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.8,2.5.11.A |
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Solution: Illustrate
The learner will be able to
illustrate mathematical solutions to problems.
| Strand |
Scope |
Source |
| Solution |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.7,2.4.11.E |
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Real Numbers and the Coordinate Plane
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Linear Equations: Graph/Two Points
The learner will be able to
determine the equation of a line given the graph of the line or two points on the line.
| Strand |
Scope |
Source |
| Linear Equations |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.L |
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Linear Equations: Slope/Point
The learner will be able to
determine the equation of a line given the slope and a point on the line.
| Strand |
Scope |
Source |
| Linear Equations |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.L |
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Distance/Midpoint: Use/Formulas
The learner will be able to
use the distance and midpoint formulas given the coordinates of the endpoints of a segment or a graph of the segment.
| Strand |
Scope |
Source |
| Distance Formula |
Master |
Bloomsburg Area School District |
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Computers: Show Ability
The learner will be able to
show the ability to use scientific and graphing calculators.
| Strand |
Scope |
Source |
| Computers |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.4,2.2.11.F |
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Problem Solving: Right Triangles
The learner will be able to
recognize, create, and solve practical right triangle problems by applying trigonometric functions and the Pythagorean Theorem.
| Strand |
Scope |
Source |
| Problem Solving |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.18,2.10.11.B |
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