|
|
|
Chester Township Public Schools |
|
Mathematics Curriculum |
|
Mathematics - Remedial Math I |
|
|
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 Intermediate Series |
Classroom
|
|
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
|
|
Properties: Represent
The learner will be able to
use manipulatives, discussion, and pictures to find and show properties of real numbers.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Properties |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Intermediate Series |
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 Intermediate Series |
Classroom
|
|
Properties: Real Numbers
The learner will be able to
apply real number properties by identifying equivalent expressions with one unknown variable.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Properties |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Intermediate Series |
Classroom
|
|
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
|
|
Equations: Whole Numbers
The learner will be able to
identify the whole numbers that correspond to given whole number equations.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Equations |
Knowledge |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Intermediate Series |
Classroom
|
|
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
|
|
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, Remedial Mathematics Intermediate Series |
Classroom
|
|
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, Remedial Mathematics Intermediate Series |
Classroom
|
|
Create a Story Problem
The learner will be able to
use a given equation to develop a story problem.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Write/Create Story Problems |
Synthesis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Intermediate 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 Intermediate Series |
Classroom
|
|
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
|
|
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, Remedial Mathematics Intermediate Series |
Classroom
|
|
Operations: Solution Strategies
The learner will be able to
develop strategies (making lists, diagrams, etc.) for solving whole number problems.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Operations |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Intermediate Series |
Classroom
|
|
Inverse Operations: Variable
The learner will be able to
apply inverse operations by identifying equivalent expressions with one unknown variable.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Inverse Operations |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Intermediate Series |
Classroom
|
|
Formulas: Deriving
The learner will be able to
determine mathematical expressions from experiential rules.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Formulas |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Intermediate Series |
Classroom
|
|
Identify Question
The learner will be able to
identify the question that is represented in a number sentence.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Identify Question |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Intermediate Series |
Classroom
|
|
Variable: Represent
The learner will be able to
use manipulatives to develop the concept of variable.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Variable |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Intermediate Series |
Classroom
|
|
Multiplication/Division: Methods
The learner will be able to
describe procedures such as the following for multiplication and division of whole numbers: mental arithmetic, estimation, computation, and using a calculator.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Solution Methods |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Intermediate Series |
Classroom
|
|
Solution Methods: Describing
The learner will be able to
describe estimating, computing, and mental math procedures for fractions, decimals, and mixed numbers.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Solution Methods |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Intermediate Series |
Classroom
|
|
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, Remedial Mathematics Intermediate 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 Intermediate Series |
Classroom
|
|
Communicating: Graphical Forms/Solution
The learner will be able to
use graphical forms to show a solution to a probability problem, to provide visual or condensed representation of an idea, to explain mathematical concepts, and to express real-world situations such as population variance, grades, marketing materials, sports statistics, and cultural trends.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Communicating |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Intermediate 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 and the specific target audiences.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Analyzing/Evaluating Graphical Forms |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Intermediate Series |
Classroom
|
|
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
|
|
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 |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Intermediate Series; Foundations of Learning, January 1999, Grade 7 |
Classroom
|
|
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
|
|
Pictographs: Percentages
The learner will be able to
find percentages from a pictograph.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Pictographs |
Comprehension |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Intermediate Series; 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
|
|
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, Remedial 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, Remedial Mathematics Intermediate Series |
Classroom
|
|
Diagrams
The learner will be able to
identify information regarding relationships shown on a family tree.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Diagrams |
Knowledge |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial 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
|
|
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 Intermediate Series |
Classroom
|
|
Problem Solving: Application
The learner will be able to
use manipulatives, calculators, and symbols 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, and solving the problem.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Problem Solving |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Intermediate Series |
Classroom
|
|
Number Sense: Place Value
The learner will be able to
demonstrate a sense of place value by analyzing a decimal number with missing digits, and then altering it appropriately to satisfy certain conditions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Number Sense |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Intermediate 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 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, Remedial Mathematics Intermediate 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 Intermediate Series |
Classroom
|
|
Multiply Decimals: Solution Methods
The learner will be able to
use manipulatives, mental math, and calculators to find products of decimals.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Multiply Decimals |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Intermediate 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 Intermediate 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 Intermediate Series |
Classroom
|
|
Decimals: Represent as Fractions
The learner will be able to
use manipulatives to represent decimals through thousandths as fractions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Decimals |
Comprehension |
Master |
Foundations of Learning, January 1999, Grade 7 |
Classroom
|
|
Decimals: Rounding/Hundredth
The learner will be able to
round decimal numbers to the nearest hundredths place.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Decimals |
Application |
Master |
Applications of Learning, January 1999, Grade 7 |
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 Intermediate Series |
Classroom
|
|
Decimals: Ordering
The learner will be able to
place a series of decimal numbers in order.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Decimals |
Analysis |
Master |
Applications of Learning, January 1999, Grade 7 |
Classroom
|
|
Decimals: Identify Sentence
The learner will be able to
identify the number sentence to be used in solving a word problem.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Decimals |
Application |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Intermediate 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 Intermediate Series; Foundations of Learning, January 1999, Grade 7 |
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 Intermediate 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 Intermediate Series; Applications of Learning, January 1999, Grade 7 |
Classroom
|
|
Compare Decimals: Story Problems
The learner will be able to
compare decimal numbers in the context of a real life scenario to determine which is the least or greatest.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Compare Decimals |
Analysis |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Intermediate Series |
Classroom
|
|
Problem Solving
The learner will be able to
demonstrate a sense of how operations with fractions manipulate numbers by recognizing a real-world situation which calls for specific operations (addition, subtraction, multiplication, or division) with fractions, evaluating the situation, articulating the nature and elements of the problem, and solving the problem without being cued that the calculations involved would require fractions.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Problem Solving |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Intermediate Series |
Classroom
|
|
Number Sense: Using Fractions
The learner will be able to
have an intuitive sense of fractions, the portions they represent, and how fractions are used to solve problems and to communicate proportions and ideas in real-world settings.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Number Sense |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Intermediate Series |
Classroom
|
|
Number Sense: Using Fractions
The learner will be able to
demonstrate an understanding of fractions and the ability to represent fraction concepts in different mediums by analyzing a bar graph.
| Strand |
Bloom's |
Scope |
Source |
Activities |
| Number Sense |
|
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Intermediate 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 Intermediate 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 Intermediate 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 Intermediate 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 Intermediate 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 Intermediate 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 |
| Multiply Fractions |
Knowledge |
Master |
The EdVISION.com Foundation Core Curriculum, May 1995, Remedial Mathematics Intermediate Series |
Classroom
|
|
|
