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Chester Township Public Schools |
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Mathematics Curriculum |
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Mathematics - Mathematics I |
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Operational Symbols: Reasoning
The learner will be able to
evaluate number sentences such as 348 x 1.5 ? 353, 45 x 1/2 ? 90, and 1/4 x 1/2 ? 8/1, replace the question marks with appropriate comparison symbols (<, =, >), and justify the symbol with a written or oral explanation.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Operations |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
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Algebraic Concepts: Relationships
The learner will be able to
create graphs, charts, tables, rules, and equations to represent algebraic relationships and patterns.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Algebraic Concepts |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
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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 |
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Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
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Number Sentences: Relating to Real-World
The learner will be able to
explore expressions, equations, and inequalities involving whole numbers, fractions, decimals, and integers within the context of real-world scenarios, analyze equations by identifying relationships between the variables and coefficients, and articulate how each relates to corresponding real-world problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Number Sentence |
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Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
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Missing Elements Order of Operations
The learner will be able to
solve for the missing element in a given equation, using the correct order of operations when necessary.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Missing Information |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
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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 |
Bloom's |
Scope |
Source |
Activities |
| Order of Operations |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
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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, Mathematics Intermediate Series |
Classroom
|
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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 |
Bloom's |
Scope |
Source |
Activities |
| Order of Operations |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
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Order of Operations: Integers
The learner will be able to
determine the correct order of operations for an equation containing integers.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Order of Operations |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
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Properties: Multiplication/Commutative
The learner will be able to
identify the missing element of an equation by applying the commutative (order) property of multiplication.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Properties |
Comprehension |
Master |
Foundations of Learning, January 1999, Grade 7 |
Classroom
|
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Properties
The learner will be able to
identify and apply the following properties of addition and multiplication to determine what number is missing from an equation: multiplication by 0, distributive, associative, commutative, and order of operations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Properties |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
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Properties: Identify Uses
The learner will be able to
identify the use of properties in solving a problem.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Properties |
Knowledge |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
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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, Mathematics Intermediate Series |
Classroom
|
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Equations: Represent
The learner will be able to
use physical models to solve equations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Solve Equations |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
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Equations: Create
The learner will be able to
formulate equations with a basis on data found in tables and/or graphs.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Equations |
Synthesis |
Master |
Higher-Order Learning, January 1999, Grade 7 |
Classroom
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Equations: Solutions
The learner will be able to
identify what the solution represents in a real world problem involving basic operations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Equations |
Application |
Master |
Applications of Learning, January 1999, Grade 7 |
Classroom
|
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Equations: Two-Step
The learner will be able to
solve a one variable equation that requires more than one operation.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Solve Equations |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
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Equations: Writing
The learner will be able to
develop and write equations based on word problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Equations |
Synthesis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
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Multiple Step Problems: Estimate
The learner will be able to
estimate solutions to multiple step problems using whole, fraction, and decimal numbers.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Multiple-step Problems |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
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Multiple Step Story Problems
The learner will be able to
solve multiple step word problems using whole numbers and decimals.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Multiple-step Problems |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
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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, Mathematics Intermediate Series |
Classroom
|
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Inequalities
The learner will be able to
solve for the value of a variable given in an inequality and as shown on a graph by manipulating the inequality correctly.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Inequalities |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
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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, Mathematics Intermediate Series |
Classroom
|
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Expressions: Addition/Subtraction
The learner will be able to
add and subtract one variable expressions and equations and identify the correct way to determine such equations from story problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Expressions |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
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Expressions: Multiplication/Division
The learner will be able to
multiply and divide one variable expressions and equations and identify the correct way to determine equations from story problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Expressions |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
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Expressions: Operations
The learner will be able to
add, subtract, multiply, and divide with algebraic expressions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Expressions |
Comprehension |
Master |
Foundations of Learning, January 1999, Grade 7 |
Classroom
|
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Expressions: Evaluating/Simplifying
The learner will be able to
simplify expressions, apply the rules regarding order of operations, and evaluate expressions with one or two unknown variables.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Simplify Expressions |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
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Basic Operations: Whole Numbers
The learner will be able to
explain the concepts involved in basic operations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Basic Operations |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
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Rules of Operation
The learner will be able to
talk and write about rules of operation.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Operations |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
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Factoring
The learner will be able to
factor trinomials, find the difference of two squares, find missing terms which complete perfect square trinomials, find the length and width of a rectangle when given the area (a trinomial), identify deductive arguments based on principles of factoring, describe the inverse relationship between multiplying polynomials and factoring, and use combined types of factoring.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Factoring |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
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Solution Methods: Applying
The learner will be able to
use mental arithmetic and estimation to solve problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Solution Methods |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate 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, Mathematics Intermediate Series |
Classroom
|
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Circle Graphs: Communicating
The learner will be able to
create a circle graph for given real-world information, and label the circle graph with both fractions and percents which represent specific portions of the graph.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Circle Graphs |
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Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
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Communicating: Graphical Forms/Solution
The learner will be able to
use graphical forms to show a solution to a problem, to provide visual representation of an idea, and to explain concepts.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Communicating |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
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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, Mathematics Intermediate Series |
Classroom
|
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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 and the specific target audiences.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Analyzing/Evaluating Graphical Forms |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
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Circle Graphs: Problem Solving
The learner will be able to
solve real-world problems using circle graphs.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Circle Graphs |
Application |
Master |
Applications of Learning, January 1999, Grade 7 |
Classroom
|
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Bar Graphs: Addition/Subtraction
The learner will be able to
add or subtract information presented in the form of a bar graph.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Bar Graphs |
Comprehension |
Master |
Foundations of Learning, January 1999, Grade 7 |
Classroom
|
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Bar Graphs: Compare
The learner will be able to
compare (adding or subtracting if necessary) amounts on a bar graph.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Bar Graphs |
Application |
Master |
Applications of Learning, January 1999, Grade 7 |
Classroom
|
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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, Mathematics Intermediate Series |
Classroom
|
|
Pictographs: Percentages
The learner will be able to
find percentages from a pictograph.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Pictographs |
Comprehension |
Master |
Foundations of Learning, January 1999, Grade 7 |
Classroom
|
|
Line Graphs: Problem Solving
The learner will be able to
solve real-world problems using line graphs.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Line Graphs |
Application |
Master |
Applications of Learning, January 1999, Grade 7 |
Classroom
|
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Line/Circle Graphs
The learner will be able to
interpret data from circle/pie and line graphs, including identifying values from the graph, determining that addition or subtraction is needed to find an answer, and comparing values from the graph.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Line Graphs |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
|
Table: Compute
The learner will be able to
identify values from the graph, compare values from the graph, determine the value of multiple entries, and perform the necessary calculations to find the missing parts of a table.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Tables/Charts |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
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Logical Reasoning: Draw Conclusion
The learner will be able to
draw a logical conclusion based on data presented in graphical format.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Logical Reasoning |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate 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 |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
|
Graphs: Dual Sources
The learner will be able to
identify and compare information on the same topic given in multiple graphical forms.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Analyzing/Evaluating Graphical Forms |
Analysis |
Master |
Applications of Learning, January 1999, Grade 7 |
Classroom
|
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Problem Solving: Application
The learner will be able to
use manipulatives, calculators, symbols, 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, setting up a 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, Mathematics Intermediate 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, Mathematics Intermediate Series |
Classroom
|
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Connecting: Applications/Representations
The learner will be able to
extend and discover new applications and representations of decimals.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Connecting |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
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Add Decimals: No Regrouping
The learner will be able to
add decimals that do not require regrouping.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Add Decimals |
Knowledge |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
|
Add Decimals: Regrouping
The learner will be able to
add decimals that require regrouping.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Add Decimals |
Knowledge |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
|
Add 2 Numbers: 3+ Decimals
The learner will be able to
add 2 numbers with 3 or more decimals in vertical and horizontal formats by regrouping (numbers are less than 100 and decimals are no smaller than millionths).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Add Decimals |
Knowledge |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
|
Add 3 Numbers: 3+ Decimals
The learner will be able to
add 3 numbers with 3 or more decimal places.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Add Decimals |
Knowledge |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
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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, Mathematics Intermediate Series |
Classroom
|
|
Subtract Decimals: No Regrouping
The learner will be able to
subtract decimals that do not require regrouping.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Subtract Decimals |
Knowledge |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
|
Subtract Decimals: Regrouping
The learner will be able to
subtract decimals that require regrouping.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Subtract Decimals |
Knowledge |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
|
Subtract 2 Numbers: 3+ Decimals
The learner will be able to
subtract 2 numbers with 3 or more decimals, in the context of real-world scenarios (regrouping when necessary).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Subtract Decimals |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate 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, Mathematics Intermediate Series |
Classroom
|
|
Addition/Subtraction Decimals
The learner will be able to
solve either a story or numerical problem requiring addition or subtraction of decimals.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Add/Subtract Decimals |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
|
Multiply Decimal and Whole Numbers
The learner will be able to
multiply a decimal number by a 1 digit whole number (regrouping when necessary).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Multiply Decimals |
Knowledge |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Mathematics Intermediate Series |
Classroom
|
|
Multiply 2 Numbers: 3+ Decimals
The learner will be able to
multiply 2 numbers with 3 or more decimals (regrouping when necessary).
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Multiply Decimals |
Knowledge |
| |
