|
|
|
Chester Township Public Schools |
|
Mathematics Curriculum |
|
Mathematics - Remedial Math II |
|
|
Problem Solving: Evaluating Forms
The learner will be able to
solve real-world problems involving whole numbers, fractions, decimals, percents, integers, scientific notation, and exponential notation by determining the operation required (addition, subtraction, multiplication, division), setting up the correct number sentence, solving the problem, and using inverse operations to check the solution.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Problem Solving |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
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, evaluate the situation, articulate the nature and elements of the problem, and solve the problem, without being cued about the operations required or number form (fractions, decimals, etc.).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Problem Solving |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
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 |
Bloom's |
Scope |
Source |
Activities |
| Problem Solving |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Translate Problems: Two Variables
The learner will be able to
translate a given real-world scenario (delivered orally or in a written prompt) into an equation or inequality with two variables, use order of operations to solve the equation, and apply inverse operations to check the answer.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Relating Number Sentences/Problems |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Solution Methods: Equation/Inequality
The learner will be able to
solve real world situations by using linear equations, inequalities, and multiple representations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Solution Methods |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Missing Elements
The learner will be able to
determine how to solve for an unknown variable when given the problem in written form.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Missing Information |
Analysis |
Master |
Applications of Learning, January 1999, Grade 9 |
Classroom
|
|
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 |
Bloom's |
Scope |
Source |
Activities |
| Order of Operations |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Order of Operations: Fractions
The learner will be able to
determine the correct order of operations for an equation containing fractions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Order of Operations |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Order of Operations: Decimals
The learner will be able to
determine the correct order of operations for an equation containing decimal numbers.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Order of Operations |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series; Foundations of Learning, January 1999, Grade 9 |
Classroom
|
|
Properties: Real Numbers
The learner will be able to
identify and use properties of real numbers.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Properties |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Multiple Step Problems: Writing
The learner will be able to
compose both problems and story problems requiring multiple operations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Write/Create Story Problems |
Synthesis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Expressions: Represent
The learner will be able to
interpret expressions using models and manipulatives.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Expressions |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
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 |
Bloom's |
Scope |
Source |
Activities |
| Expressions |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Exponents: Multiplying
The learner will be able to
multiply two whole numbers with different exponents.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Exponents |
Comprehension |
Master |
Foundations of Learning, January 1999, Grade 9 |
Classroom
|
|
Exponents: Dividing
The learner will be able to
divide 2 whole numbers with different exponents.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Exponents |
Comprehension |
Master |
Foundations of Learning, January 1999, Grade 9 |
Classroom
|
|
Operations: Relationships
The learner will be able to
determine relationships between operations on whole numbers, decimals, fractions, and integers with and without the use of technology (calculators).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Operations |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Inverse Operations: Whole/Real Numbers
The learner will be able to
use inverse operations to extend the system of whole numbers to the system of real numbers.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Inverse Operations |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Rates
The learner will be able to
compare the prices of several items.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Rates |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Variable/Expression/Equation
The learner will be able to
comprehend the concepts of variable, expression, and equation.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Variable |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Algorithms: Real World Problems
The learner will be able to
manipulate algorithms as models in solving real world problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Algorithms |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Solution Tools: Analysis
The learner will be able to
analyze which solution tool would best solve a problem: calculator, pencil and paper, mental math.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Solution Methods |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Communicating: Graphical Forms/Creating
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 |
Bloom's |
Scope |
Source |
Activities |
| Communicating |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
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 |
Bloom's |
Scope |
Source |
Activities |
| Analyzing/Evaluating Graphical Forms |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Analyzing: Graphical Forms
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 |
Bloom's |
Scope |
Source |
Activities |
| Analyzing/Evaluating Graphical Forms |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
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 |
Bloom's |
Scope |
Source |
Activities |
| Analyzing/Evaluating Graphical Forms |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Scatterplots: Story Problems
The learner will be able to
solve real world problems using scatterplots as models.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Scatterplots |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Bar Graphs: Analyze
The learner will be able to
analyze data on a bar graph to make judgments about the graph.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Bar Graphs |
Evaluation |
Master |
Higher-Order Learning, January 1999, Grade 9 |
Classroom
|
|
Bar Graphs: Proportional Relationships
The learner will be able to
use proportional relationships to extrapolate values on a bar graph.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Bar Graphs |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Pictographs
The learner will be able to
identify, compare, and add or subtract amounts read from pictographs.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Pictographs |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Chart/Graph: Scale/Interpret
The learner will be able to
understand scales given on graphs, tables, and charts.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Tables/Charts |
Comprehension |
Master |
Foundations of Learning, January 1999, Grade 9 |
Classroom
|
|
Table: Classification
The learner will be able to
determine the method by which information is classified within a table to determine where new information should be placed.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Tables/Charts |
Application |
Master |
Applications of Learning, January 1999, Grade 9 |
Classroom
|
|
Table: Rearrange
The learner will be able to
rearrange and read information from a table using a new criteria.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Tables/Charts |
Comprehension |
Master |
Foundations of Learning, January 1999, Grade 9 |
Classroom
|
|
Table: Predict
The learner will be able to
make predictions and decisions based on real-world data presented in the form of a table.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Tables/Charts |
Evaluation |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Logical Reasoning: Making Predictions
The learner will be able to
use real world data to make predictions from data presented in scatterplots, diagrams of frequency distributions, histograms, and stem-and-leaf plots.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Logical Reasoning |
Synthesis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Graphs: Construct
The learner will be able to
construct graphs recording information in tables, bar graphs, line graphs, and pictographs.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Graphing |
Synthesis |
Master |
Higher-Order Learning, January 1999, Grade 9 |
Classroom
|
|
Diagram: Problem Solving
The learner will be able to
solve real-world problems using diagrams.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Diagrams |
Application |
Master |
Applications of Learning, January 1999, Grade 9 |
Classroom
|
|
Graphs: Data/Story Problems
The learner will be able to
interpret graphical data to solve story problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Analyzing/Evaluating Graphical Forms |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Evaluate Graphical Forms: Select Display
The learner will be able to
choose the most suitable form and/or method of data display.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Analyzing/Evaluating Graphical Forms |
Analysis |
Master |
Applications of Learning, January 1999, Grade 9 |
Classroom
|
|
Graphs: Summarize Data
The learner will be able to
make appropriate summaries about data presented in charts, tables, and graphs.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Analyzing/Evaluating Graphical Forms |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Graphs: Evaluate Data Analysis
The learner will be able to
determine the validity of an argument based on a given set of data.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Analyzing/Evaluating Graphical Forms |
Evaluation |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Problem Solving: Application
The learner will be able to
evaluate, solve, and justify solutions for real-world mathematical problems which include ambiguous circumstances.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Problem Solving |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Problem Solving: Application
The learner will be able to
use manipulatives, calculators, symbols, mental math, and diagrams to solve real-world scenario problems which call for the rounding, addition, subtraction, multiplication, and division of decimals. This process includes evaluating a given problem scenario, identifying the problem, determining the relevant elements and the required operation (without being cued about the operation the problem would require), setting up a number sentence, solving the problem, using inverse operations to check the solution, and articulating to others the solution and the reasoning behind the solution.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Problem Solving |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Estimating
The learner will be able to
employ strategies for estimating the range of an answer, or the number of digits in an answer to addition, subtraction, multiplication, or division problems, and articulate these strategies to others.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Reasoning/Estimation |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Reasoning: Using Decimals
The learner will be able to
incorporate a variety of estimation techniques such as front-ending, clustering, averaging, rounding compatible numbers, and special cases, to check the reasonableness of solutions, and articulate responses in either oral or written form.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Reasoning/Estimation |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Addition Story Problems
The learner will be able to
solve story problems involving adding 3 numbers with decimals.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Add Decimals |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Subtraction Story Problems
The learner will be able to
solve story problems involving subtracting decimals.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Subtract Decimals |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Addition/Subtraction Decimals
The learner will be able to
add, subtract, and compare decimals using the correct order of operations when necessary.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Add/Subtract Decimals |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Multiplication Story Problems
The learner will be able to
solve real-world story problems by determining that multiplication is required, by regrouping the numbers, and by multiplying the appropriate decimals up to the hundredths position.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Multiply Decimals |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Multiplication/Division Decimals
The learner will be able to
multiply, divide, and compare decimals using the correct order of operations when necessary.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Multiply/Divide Decimals |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Decimals: Rounding
The learner will be able to
round decimal numbers to the nearest whole number, tenths, and hundredths place, in the context of a problem involving money amounts.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Decimals |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Decimals and Equivalent Fractions
The learner will be able to
determine equivalent fractions and decimals.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Decimals |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Division Story Problems
The learner will be able to
solve story problems by dividing decimals up to the hundredths position.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Divide Decimals |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Compare Decimals: Up to 0.000001
The learner will be able to
compare decimal numbers up to the millionths place (0.000001) using the order symbols (<, >, =).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Compare Decimals |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Reasoning: Using Fractions
The learner will be able to
incorporate a variety of estimation techniques such as front-ending, clustering, averaging, rounding compatible numbers, and considering special cases, to check the reasonableness of solutions to problems involving fractions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Reasoning/Estimation |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Adding: Mixed Fractions
The learner will be able to
add mixed fractions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Add Fractions |
Knowledge |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Addition Story Problems
The learner will be able to
add two fractions, either mixed fractions or with different denominators, in the context of a story problem.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Add Fractions |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Subtraction Story Problems
The learner will be able to
solve story problems involving subtracting two fractions with the same or different denominators.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Subtract Fractions |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Subtracting Mixed Fractions
The learner will be able to
subtract two mixed fractions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Subtract Fractions |
Knowledge |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Addition/Subtraction Fractions
The learner will be able to
add or subtract fractions and mixed fractions, including finding a lowest common denominator and reducing the answer to its lowest terms.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Add/Subtract Fractions |
Knowledge |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Secondary Series |
Classroom
|
|
Multiplication: Mixed Fractions
The learner will be able to
multiply either two mixed fractions or a fraction and a whole number.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| | |
