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Mathematics


© 2005 by Queen Bee School District 16 and Scantron Corporation.
All Rights Reserved.

Made with Curriculum Designer
Made with
Curriculum Designer by
Scantron Corporation

Queen Bee School District 16
Math, June 2004
Mathematics - Grade 7

Algebraic Concepts

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 Activities
Operations   Master Classroom
  
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 Activities
Algebraic Concepts   Master Classroom
  
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 Activities
Number Sentence   Master 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 Activities
Relating Number Sentences/Problems   Master Classroom
  
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 Activities
Missing Information Application Master 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 (whole numbers, fractions, decimals, integers).
Strand Bloom's Scope Activities
Order of Operations Application Master Classroom
  
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 Activities
Properties Application Master Classroom
  
Properties: Identify Uses
The learner will be able to identify the use of properties in solving a problem.
Strand Bloom's Scope Activities
Properties Knowledge Master Classroom
  
Properties: Real Numbers
The learner will be able to identify and use properties of real numbers.
Strand Bloom's Scope Activities
Properties Comprehension Introduce Classroom
  
Equations: Represent
The learner will be able to use physical models to solve equations.
Strand Bloom's Scope Activities
Solve Equations Application Reinforce 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 Activities
Equations Synthesis Master Classroom
  
Equations: Solve/Basic/One Variable
The learner will be able to obtain solutions to basic equations involving one variable.
Strand Bloom's Scope Activities
Solve Equations Application Master Classroom
  
Equations: Two-Step
The learner will be able to solve a one variable equation that requires more than one operation.
Strand Bloom's Scope Activities
Solve Equations Application Introduce Classroom
  
Equations: Story Problems
The learner will be able to determine equations for and solve problems in the context of real world scenarios.
Strand Bloom's Scope Activities
Solve Equations Application Master Classroom
  
Equations: Writing
The learner will be able to develop and write equations based on word problems.
Strand Bloom's Scope Activities
Equations Synthesis Introduce 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 Activities
Multiple-step Problems Comprehension Introduce Classroom
  
Multiple Step Story Problems
The learner will be able to solve a story problem requiring multiple calculations.
Strand Bloom's Scope Activities
Multiple-step Problems Application Introduce Classroom
  
Multiple Step Story Problems
The learner will be able to solve multiple step word problems using whole numbers, fractions and decimals.
Strand Bloom's Scope Activities
Multiple-step Problems Application Introduce Classroom
  
Multiple Step Problems: Writing
The learner will be able to compose both problems and story problems requiring multiple operations.
Strand Bloom's Scope Activities
Write/Create Story Problems Synthesis Introduce Classroom
  
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 Activities
Inequalities Application Introduce Classroom
  
Expressions: Represent
The learner will be able to interpret expressions using models and manipulatives.
Strand Bloom's Scope Activities
Expressions Analysis Reinforce Classroom
  
Expressions:Add/Subtract/Multiply/Divide
The learner will be able to add, subtract, multiply or divide one variable expressions and equations and identify the correct way to determine such equations from story problems.
Strand Bloom's Scope Activities
Expressions Application Master Classroom
  
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 Activities
Simplify Expressions Application Introduce Classroom
  
Basic Operations: Whole Numbers
The learner will be able to explain the concepts involved in basic operations.
Strand Bloom's Scope Activities
Basic Operations Comprehension Master Classroom
  
Rules of Operation
The learner will be able to communicate in oral and/or written form about rules of operation.
Strand Bloom's Scope Activities
Operations Comprehension Introduce Classroom
  
Solution Methods: Applying
The learner will be able to use mental arithmetic and estimation to solve problems.
Strand Bloom's Scope Activities
Solution Methods Comprehension Reinforce 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 Activities
Solution Methods Analysis Master Classroom
  
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Data Interpretation

Circle Graphs: Create
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 Activities
Circle Graphs   Master Classroom
  
Bar Graphs: Interpretation
The learner will be able to interpret information given in the form of a bar graph and interpret the results in a variety of forms (percents, fractions, etc.).
Strand Bloom's Scope Activities
Bar Graphs   Master Classroom
  
Bar Graphs: Identify/Compare
The learner will be able to identify or compare amounts in a bar graph.
Strand Bloom's Scope Activities
Bar Graphs   Master Classroom
  
Pictographs
The learner will be able to identify, compare, and add or subtract amounts read from pictographs.
Strand Bloom's Scope Activities
Pictographs   Master Classroom
  
Line Graphs: Compare/Analyze
The learner will be able to identify values from a line graph, determine that addition or subtraction is needed to find an answer, compare values, and use critical thinking skills to analyze the graph.
Strand Bloom's Scope Activities
Line Graphs   Master 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 Activities
Line Graphs   Master Classroom
  
Line Graphs
The learner will be able to identify, compare, and analyze points on a line graph.
Strand Bloom's Scope Activities
Line Graphs   Master 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 Activities
Tables/Charts   Master 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 Activities
Communicating   Master 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 Activities
Communicating   Master 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 Activities
Analyzing/Evaluating Graphical Forms   Master Classroom
  
Bar Graphs: Identify Amounts
The learner will be able to identify and compare amounts represented on a bar graph.
Strand Bloom's Scope Activities
Bar Graphs Knowledge Reinforce Classroom
  
Bar Graphs: Estimate
The learner will be able to estimate values shown on a bar graph.
Strand Bloom's Scope Activities
Bar Graphs Application Reinforce Classroom
  
Bar Graphs: Analyze
The learner will be able to analyze simple stacked graphs (bar and pictographs).
Strand Bloom's Scope Activities
Bar Graphs Analysis Reinforce Classroom
  
Pictographs: Identify
The learner will be able to identify,compare, add or subtract data on a simple pictograph.
Strand Bloom's Scope Activities
Pictographs Knowledge Reinforce Classroom
  
Pictographs: Percentages
The learner will be able to find percentages from a pictograph.
Strand Bloom's Scope Activities
Pictographs Application Master Classroom
  
Pictographs: Analyze
The learner will be able to analyze data on a pictograph.
Strand Bloom's Scope Activities
Pictographs Analysis Master Classroom
  
Chart/Graph: Understand/Labels
The learner will be able to understand labels given on graphs, tables, and charts.
Strand Bloom's Scope Activities
Tables/Charts Comprehension Master Classroom
  
Table: Calculate
The learner will be able to use values from the table to solve a real world problem by determining the correct calculation and applying the pertinent information.
Strand Bloom's Scope Activities
Tables/Charts Application Master Classroom
  
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 Activities
Logical Reasoning Analysis Master Classroom
  
Graphs: Displayed Data/Compare
The learner will be able to compare data given in a variety of graphical formats.
Strand Bloom's Scope Activities
Graphing Analysis Master 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 Activities
Graphing Synthesis Master Classroom
  
Graphs: Data/Using Integers
The learner will be able to interpret graphical data involving integers.
Strand Bloom's Scope Activities
Analyzing/Evaluating Graphical Forms Analysis Master Classroom
  
Graphs: Data/Story Problems
The learner will be able to interpret graphical data to solve story problems.
Strand Bloom's Scope Activities
Analyzing/Evaluating Graphical Forms Analysis Master Classroom
  
Graphs: Analyze/Displayed Data
The learner will be able to analyze data given in a variety of graphical formats.
Strand Bloom's Scope Activities
Analyzing/Evaluating Graphical Forms Analysis Master Classroom
  
Box-and-Whisker Plots: Display/Data
The learner will be able to display data in a box-and-whisker plot.
Strand Bloom's Scope Activities
Stem-and-Leaf/Box-and-Whisker Plots Application Introduce Classroom
  
Circle Graphs: Interpret/Percent
The learner will be able to use percents to interpret circle graphs.
Strand Bloom's Scope Activities
Circle Graphs Analysis Master Classroom
  
Graphs: Construct/Data
The learner will be able to create data displays, including circle graphs, line graphs, bar graphs, and box-and-whisker graphs.
Strand Bloom's Scope Activities
Graphing Synthesis Master Classroom
  
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Decimals

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 Activities
Add/Subtract Decimals   Master 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 Activities
Multiply/Divide Decimals   Master 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 Activities
Decimals   Master Classroom
  
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 Activities
Problem Solving   Master 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 Activities
Problem Solving   Master Classroom
  
Connecting: Applications/Representations
The learner will be able to extend and discover new applications and representations of decimals.
Strand Bloom's Scope Activities
Connecting   Master Classroom
  
Add Decimals
The learner will be able to add decimals with or without regrouping.
Strand Bloom's Scope Activities
Add Decimals Application Reinforce Classroom
  
Addition Story Problems
The learner will be able to solve story problems involving adding 3 numbers with decimals.
Strand Bloom's Scope Activities
Add Decimals Application Master Classroom
  
Subtract Decimals
The learner will be able to subtract decimals with or without regrouping.
Strand Bloom's Scope Activities
Subtract Decimals Application Reinforce Classroom
  
Subtract 2 Numbers: 1-2 Decimals
The learner will be able to subtract 2 numbers with 1-2 decimals (regrouping when necessary).
Strand Bloom's Scope Activities
Subtract Decimals Application Master Classroom
  
Subtraction Story Problems
The learner will be able to solve story problems involving subtracting decimals.
Strand Bloom's Scope Activities
Subtract Decimals Application Master 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 Activities
Multiply Decimals Application Master Classroom
  
Multiply 2 Numbers: 2 Decimals
The learner will be able to multiply 2 numbers with 2 decimals (regrouping when necessary).
Strand Bloom's Scope Activities
Multiply Decimals Application Master 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 Activities
Multiply Decimals Application Master Classroom
  
Decimals for Part of a Set
The learner will be able to identify the decimals that correspond to partially shaded figures.
Strand Bloom's Scope Activities
Decimals Knowledge Reinforce Classroom
  
Decimals: Ordering
The learner will be able to order a series of up to five decimal numbers (decimals are expressed in tenths, hundredths, and thousandths place).
Strand Bloom's Scope Activities
Decimals Application Master Classroom
  
Divide Decimal by Whole Number
The learner will be able to divide a decimal number by a whole number.
Strand Bloom's Scope Activities
Divide Decimals Application Master Classroom
  
Divide a Whole Number by a Decimal
The learner will be able to divide a whole number by a decimal number.
Strand Bloom's Scope Activities
Divide Decimals Application Master Classroom
  
Divide 2 Decimal Numbers
The learner will be able to divide 2 decimal numbers out to a remainder of zero.
Strand Bloom's Scope Activities
Divide Decimals Application