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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 I |
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Algebraic Concepts: Problem Scenarios
The learner will be able to
create expressions, equations, and matrices to 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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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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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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Operations: Apply
The learner will be able to
apply operations such as opposite, reciprocal, absolute value, and 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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Properties: Real Numbers
The learner will be able to
identify and use properties of real numbers.
| Strand |
Scope |
Source |
| Properties |
Master |
Bloomsburg Area School District |
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Problem Solving: Evaluating Forms
The learner will be able to
recognize a real world situation which calls for operations (addition, subtraction, multiplication, or division) with fractions, decimals, percents, or integers (without being cued that the calculations involved would require a specific operation or number form), evaluate the situation, articulate the nature and elements of the problem, solve the problem, and use inverse operations to check the solution.
| Strand |
Scope |
Source |
| Problem Solving |
Master |
Bloomsburg Area School District |
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Order of Operations: Determine
The learner will be able to
determine the correct order of calculations when more than one operation is to be performed.
| Strand |
Scope |
Source |
| Order of Operations |
Master |
Bloomsburg Area School District |
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Order of Operations: Decimals
The learner will be able to
determine the correct order of operations for an equation containing decimal numbers.
| Strand |
Scope |
Source |
| Order of Operations |
Master |
Bloomsburg Area School District |
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Expressions: Real World
The learner will be able to
evaluate expressions (and formulas) when the expressions are presented within the context of a real world problem.
| Strand |
Scope |
Source |
| Expressions |
Master |
Bloomsburg Area School District |
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Rates
The learner will be able to
compare the prices of several items.
| Strand |
Scope |
Source |
| Rates |
Master |
Bloomsburg Area School District |
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Variable/Expression/Equation
The learner will be able to
comprehend the concepts of variable, expression, and equation.
| Strand |
Scope |
Source |
| Variable |
Master |
Bloomsburg Area School District |
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Calculus and Pre-Calculus
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Matrices: Addition
The learner will be able to
perform addition with matrices.
| Strand |
Scope |
Source |
| Matrices |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.I |
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Matrices: Subtracting
The learner will be able to
perform subtraction with matrices.
| Strand |
Scope |
Source |
| Matrices |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.I |
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Matrices: Organize Data
The learner will be able to
use matrices to organize real world data.
| Strand |
Scope |
Source |
| Matrices |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.I |
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Matrices: Manipulate Data
The learner will be able to
manipulate data using matrices.
| Strand |
Scope |
Source |
| Matrices |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.14,2.8.11.I |
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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 |
PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 32. |
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Polygons: Non-Triangular
The learner will be able to
know and/or apply properties of polygons that are not triangular.
| Strand |
Scope |
Source |
| Polygons |
Master |
PA: System of School Assessment, 1997, Grade 11, p.11,#3 week tested: 32. |
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Triangles: Properties
The learner will be able to
analyze the properties of triangles.
| Strand |
Scope |
Source |
| Triangles |
Master |
PA: System of School Assessment, 1997, Grade 11, p.11,#3 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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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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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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Perimeter/Area/Volume: Application
The learner will be able to
use and explain formulas for perimeter, area, and volume.
| Strand |
Scope |
Source |
| Perimeter/Area/Volume |
Master |
Bloomsburg Area School District |
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Perimeter: Square/Rectangle/Triangle
The learner will be able to
find the perimeter of a square, rectangle, triangle, or other figure with the sides labeled.
| Strand |
Scope |
Source |
| Perimeter |
Master |
Bloomsburg Area School District |
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Area of a Rectangle: Calculate
The learner will be able to
calculate the area of a rectangle given its measurements.
| Strand |
Scope |
Source |
| Area of a Rectangle |
Master |
Bloomsburg Area School District |
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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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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 Forms: Compare/Order
The learner will be able to
demonstrate an understanding of how whole numbers relate to fractions, decimals, percents, and integers by comparing and ordering these number forms.
| Strand |
Scope |
Source |
| Number Forms |
Master |
Bloomsburg Area School District |
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Roots/Radicals: Identify
The learner will be able to
identify equivalent roots and radicals of given situations and estimate a square root using knowledge of perfect squares.
| Strand |
Scope |
Source |
| Roots/Radicals |
Master |
Bloomsburg Area School District |
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Equivalent Fractions/Decimals/Percents
The learner will be able to
relate problems of equivalent fractions, decimals and percents to real world situations.
| Strand |
Scope |
Source |
| Equivalent Forms |
Master |
Bloomsburg Area School District |
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Equivalent Forms: Story Problems
The learner will be able to
use equivalent forms in story problems with real world applications.
| Strand |
Scope |
Source |
| Equivalent Forms |
Master |
Bloomsburg Area School District |
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Ratio: Determine/Two Items
The learner will be able to
determine the ratio of two items.
| Strand |
Scope |
Source |
| Ratio/Proportion |
Master |
Bloomsburg Area School District |
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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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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 |
| Problem Solving |
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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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: Problem Solving/Recognize
The learner will be able to
use pattern recognition to solve problems.
| Strand |
Scope |
Source |
| Patterns: Problem Solving |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.13,2.8.11.C |
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Mental Math: Shortcuts
The learner will be able to
improve mental arithmetic skills by developing computational shortcuts.
| Strand |
Scope |
Source |
| Mental Math |
Master |
Bloomsburg Area School District |
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Experiments: Questions
The learner will be able to
characterize questions of experimental design, control groups, treatment groups, cluster sampling and reliability.
| Strand |
Scope |
Source |
| Experiments |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.10,2.6.11.G |
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Graphing: Organize/Illustrate
The learner will be able to
organize and illustrate results with graphs.
| Strand |
Scope |
Source |
| Graphing |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.9,2.6.11.A |
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Probability of Events: Analyzing
The learner will be able to
analyze the probability of events to determine their dependence or independence, and study the probability of compound events.
| Strand |
Scope |
Source |
| Probability |
Master |
PA: System of School Assessment, 1997, Grade 11, p.12,#4 week tested: 32. |
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Outcomes: Probability
The learner will be able to
apply experimental and theoretical 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/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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Probability/Statistics: Use
The learner will be able to
use probability and statistics to conduct an experiment involving a sample, and then generalize its results to the entire population.
| Strand |
Scope |
Source |
| Probability/Statistics |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.11,2.7.11.B |
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Sampling: Validity/Methods
The learner will be able to
find the validity of the sampling strategy described in a given study.
| Strand |
Scope |
Source |
| Sampling |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.9,2.6.11.E |
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Sampling: Population
The learner will be able to
use sampling methods to draw inferences about large populations.
| Strand |
Scope |
Source |
| Sampling |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.10,2.6.11.H |
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Sampling: Design/Follow Through
The learner will be able to
design and follow through with a random sampling procedure.
| Strand |
Scope |
Source |
| Sampling |
Master |
PA: Academic Standards, January 16, 1999, Grade 11, p.9,2.6.11.A |
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Probability and Predictions
The learner will be able to
calculate the probability and make predictions about a given situation.
| Strand |
Scope |
Source |
| Probability |
Master |
Bloomsburg Area School District |
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Mean/Median/Mode/Range
The learner will be able to
calculate mean, median, mode, and range for a given group of numbers.
| Strand |
Scope |
Source |
| Average/Median/Mode/Range |
Master |
Bloomsburg Area School District |
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Probability: Experimental
The learner will be able to
model the real world by making up and completing experiments to determine probability.
| Strand |
Scope |
Source |
| Probability |
Master |
Bloomsburg Area School District |
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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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Table: Make/Predictions/Decisions
The learner will be able to
make predictions and decisions based on real world data presented in the form of a table.
| Strand |
Scope |
Source |
| Tables/Charts |
Master |
Bloomsburg Area School District |
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Communicating: Create/Graphical Forms
The learner will be able to
communicate complex ideas effectively by creating graphical forms of data, including collecting data from a variety of sources, consolidating raw data, and selecting appropriate elements of the data to organize and include in a logical graphical form.
| Strand |
Scope |
Source |
| Communicating |
Master |
Bloomsburg Area School District |
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Analyzing: Graphical Forms
The learner will be able to
use graphical forms (tables, bar graphs, maps, and information pyramids) to derive information, interpret information, and draw conclusions about real world phenomena such as population shifts, factors of population shifts, areas of population shifts, etc.
| Strand |
Scope |
Source |
| Analyzing/Evaluating Graphical Forms |
Master |
Bloomsburg Area School District |
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Analyzing Graphs: Interpret
The learner will be able to
demonstrate the ability to interpret graphical forms of data by articulating the details, facts, and concepts presented in the forms, and by evaluating the reasonableness of specific graphical forms given the types of information presented in the forms.
| Strand |
Scope |
Source |
| Analyzing/Evaluating Graphical Forms |
Master |
Bloomsburg Area School District |
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Evaluating: Graphical Forms
The learner will be able to
evaluate a given graph to determine if the information is reasonable, if the graph format is the most effective one for the type of information presented, and to find possible inconsistencies in the information contained in the graph.
| Strand |
Scope |
Source |
| Analyzing/Evaluating Graphical Forms |
Master |
Bloomsburg Area School District |
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Bar Graphs: Proportional Relationships
The learner will be able to
use proportional relationships to extrapolate values on a bar graph.
| Strand |
Scope |
Source |
| Bar Graphs |
Master |
Bloomsburg Area School District |
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Analyzing Graphs: Summarizing/Data
The learner will be able to
make appropriate summaries about data presented in charts, tables, and graphs.
| Strand |
Scope |
Source |
| Analyzing/Evaluating Graphical Forms |
Master |
Bloomsburg Area School District |
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Addition/Subtraction Decimals
The learner will be able to
add, subtract, and compare decimals using the correct order of operations when necessary.
| Strand |
Scope |
Source |
| Add/Subtract Decimals |
Master |
Bloomsburg Area School District |
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Multiplication/Division Decimals
The learner will be able to
multiply, divide, and compare decimals using the correct order of operations when necessary.
| Strand |
Scope |
Source |
| Multiply/Divide Decimals |
Master |
Bloomsburg Area School District |
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Addition Story Problems
The learner will be able to
solve story problems involving adding 3 numbers with decimals.
| Strand |
Scope |
Source |
| Add Decimals |
Master |
Bloomsburg Area School District |
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Subtraction Story Problems
The learner will be able to
solve story problems involving subtracting decimals.
| Strand |
Scope |
Source |
| Subtract Decimals |
Master |
Bloomsburg Area School District |
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Decimals and Equivalent Fractions
The learner will be able to
determine equivalent fractions and decimals.
| Strand |
Scope |
Source |
| Decimals |
Master |
Bloomsburg Area School District |
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Add/Subtract: Order of Operations
The learner will be able to
add and subtract positive and negative numbers using the correct order of operations.
| Strand |
Scope |
Source |
| Add/Subtract Integers |
Master |
Bloomsburg Area School District |
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Add/Subtract: Understand/Manipulatives
The learner will be able to
use manipulatives and number lines to understand addition and subtraction of integers.
| Strand |
Scope |
Source |
| Add/Subtract Integers |
Master |
Bloomsburg Area School District |
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Integers: Compare
The learner will be able to
compare integers with ordering symbols (<, >, =) and with phrases.
| Strand |
Scope |
Source |
| Integers |
Master |
Bloomsburg Area School District |
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Multiply/Divide: Order of Operations
The learner will be able to
multiply and divide positive and negative numbers using the correct order of operations.
| Strand |
Scope |
Source |
| Multiply/Divide Integers |
Master |
Bloomsburg Area School District |
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Rational and Irrational Numbers
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Exploring: Properties
The learner will be able to
discover properties of rational numbers.
| Strand |
Scope |
Source |
| Exploring |
Master |
Bloomsburg Area School District |
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Real Numbers and the Coordinate Plane
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Exploring: Coordinate Points
The learner will be able to
demonstrate an understanding of coordinate geometry by locating and plotting points on a coordinate plane, and articulating the symbolic nature of such coordinate points.
| Strand |
Scope |
Source |
| Exploring |
Master |
Bloomsburg Area School District |
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Coordinate Plane: Ordered Pairs/Matching
The learner will be able to
find points for ordered pairs on a coordinate graph and determine the ordered pairs that correspond to given points on a coordinate graph.
| Strand |
Scope |
Source |
| Coordinate Geometry |
Master |
Bloomsburg Area School District |
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Coordinate Plane: Analyzing Points
The learner will be able to
analyze points on a coordinate plane.
| Strand |
Scope |
Source |
| Coordinate Geometry |
Master |
Bloomsburg Area School District |
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Addition/Subtraction/Comparison
The learner will be able to
add, subtract, and compare whole numbers using the correct order of operations when necessary.
| Strand |
Scope |
Source |
| Add/Subtract Whole Numbers |
Master |
Bloomsburg Area School District |
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Multiplication/Division
The learner will be able to
multiply, divide, and compare whole numbers using the correct order of operations when necessary.
| Strand |
Scope |
Source |
| Multiply/Divide Whole Numbers |
Master |
Bloomsburg Area School District |
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Division Story Problems
The learner will be able to
read a real world scenario problem involving the division of whole numbers, determine the problem, the relevant elements of the problem, and the correct operation, set up the number sentence, find a solution, and use inverse operations to check the solution to ensure it is correct.
| Strand |
Scope |
Source |
| Division Story Problems |
Master |
Bloomsburg Area School District |
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