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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 8

Algebraic Concepts

Properties: Recognize/Use/Real
The learner will be able to recognize and use properties of real numbers including pi, squares, and square roots.
Strand Bloom's Scope Activities
Properties   Master Classroom
  
Properties: Solve/Problems
The learner will be able to use the basic properties of commutative, associative, distributive, transitive, inverse, identity, zero, equality, and order of operations to obtain solutions to problems.
Strand Bloom's Scope Activities
Properties   Master Classroom
  
Properties: Apply
The learner will be able to apply the associative and commutative properties of addition and multiplication and the distributive property of multiplication over addition in order to simplify computations with integers, fractions, and decimals.
Strand Bloom's Scope Activities
Properties   Master Classroom
  
Equations/Expressions: Analyzing
The learner will be able to demonstrate an understanding of equations and expressions by determining patterns in equations and expressions, by finding missing elements, by matching equations and expressions to models, manipulatives, and pictures, and by distinguishing between expressions and equations by explaining their purposes.
Strand Bloom's Scope Activities
Equations   Master Classroom
  
Expressions: Investigate/Relationships
The learner will be able to investigate relationships between symbolic expressions and graphs of lines, focusing on the meaning of intercept and slope.
Strand Bloom's Scope Activities
Expressions   Master Classroom
  
Operations: Understand/Effects
The learner will be able to comprehend the meaning and effects of operations on fractions, decimals, and integers.
Strand Bloom's Scope Activities
Operations   Master Classroom
  
Inverse Operations: Comprehend/Apply
The learner will be able to comprehend and apply inverse relationships of addition and subtraction, multiplication and division, and squares and square roots in order to simplify computations and obtain problem solutions.
Strand Bloom's Scope Activities
Inverse Operations   Master Classroom
  
Algebraic Concepts: Apply/Graphing
The learner will be able to apply graphing technology and algebraic techniques to examine and predict linear relationships and make generalizations from linear patterns.
Strand Bloom's Scope Activities
Algebraic Concepts   Master Classroom
  
Algebraic Concepts: Represent/Solve
The learner will be able to represent and obtain solutions to problems through the application of algebraic concepts and procedures.
Strand Bloom's Scope Activities
Algebraic Concepts   Master Classroom
  
Algebraic Concepts: Describe/Solve
The learner will be able to apply algebraic and analytical strategies to determine and describe patterns and relationships in data, obtain solutions to problems and predict results.
Strand Bloom's Scope Activities
Algebraic Concepts   Master Classroom
  
Algorithms: Create/Study
The learner will be able to create and study algorithms for computing with fractions, decimals, and integers and develop proficiency in applying them.
Strand Bloom's Scope Activities
Algorithms   Master Classroom
  
Computation: Choose/Methods
The learner will be able to choose computational methods and obtain solutions to problems involving whole numbers, fractions, decimals, percents, and proportions.
Strand Bloom's Scope Activities
Computation   Master Classroom
  
Computation: Demonstrate/Evidence
The learner will be able to demonstrate evidence that results of computations involving whole numbers, fractions, decimals, percents, and proportions are correct and/or that approximations are reasonable.
Strand Bloom's Scope Activities
Computation   Master Classroom
  
Computation: Choose
The learner will be able to choose suitable methods and tools for computations with fractions and decimals from among mental calculation, approximation, calculators or computers, and paper and pencil, as appropriate for the situation, and use the chosen methods.
Strand Bloom's Scope Activities
Computation   Master Classroom
  
Problem Solving: Apply/Symbols
The learner will be able to apply symbolic algebra to represent scenarios and obtain solutions to problems, focusing on those that involve linear relationships.
Strand Bloom's Scope Activities
Problem Solving   Master 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 Activities
Problem Solving   Master Classroom
  
Problem Solving: Factor/Multiples
The learner will be able to obtain solutions to problems using common factors and common multiples.
Strand Bloom's Scope Activities
Problem Solving   Master Classroom
  
Problem Solving: Manipulatives
The learner will be able to demonstrate an understanding of equations by reading or listening to a given scenario, and creating manipulatives to represent the scenario.
Strand Bloom's Scope Activities
Problem Solving   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
  
Solution Methods: Proportions
The learner will be able to create, describe, and analyze methods for obtaining solutions to problems involving proportions.
Strand Bloom's Scope Activities
Solution Methods   Master 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 Activities
Solution Methods   Master Classroom
  
Identify Sentence: Multiplication Sets
The learner will be able to identify the number sentence shown in a picture illustrating multiplication sets.
Strand Bloom's Scope Activities
Identify Sentence Knowledge Master Classroom
  
Missing Element
The learner will be able to identify the missing part of an equation.
Strand Bloom's Scope Activities
Missing Information Knowledge 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, containing fractions, decimals and/or integers.
Strand Bloom's Scope Activities
Order of Operations Application Reinforce Classroom
  
Order of Operations: Use
The learner will be able to use correct order of operations to simplify algebraic expressions with real numbers.
Strand Bloom's Scope Activities
Order of Operations Comprehension Master Classroom
  
Properties
The learner will be able to identify and apply the following properties of addition and multiplication: multiplication by 0, distributive, associative, reciprocal, adding like terms, property of opposites, commutative, and order of operations.
Strand Bloom's Scope Activities
Properties Application Master 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 Activities
Properties Application Master 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 Activities
Properties Application Master Classroom
  
Equations: Add/Subtract/Multiply/Divide
The learner will be able to use addition,subtraction, multiplication or division in one variable equations to determine the value of the variable.
Strand Bloom's Scope Activities
Equations Application Master Classroom
  
Equations: Fraction Format
The learner will be able to solve an equation that is written in fraction format.
Strand Bloom's Scope Activities
Solve Equations Comprehension Master Classroom
  
Equations: Substituting
The learner will be able to solve equations with one unknown variable (where there is no formula to apply) involving fractions, decimals, and integers by substituting.
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 Master Classroom
  
Multiple Step Problems
The learner will be able to solve problems which require multiple operations (addition, subtraction, multiplication, and/or division) using whole, fraction, percent, and decimal numbers.
Strand Bloom's Scope Activities
Multiple-step Problems Comprehension Master Classroom
  
Multiple Step Story Problems
The learner will be able to solve story problems involving the calculation of whole numbers, time, and decimals in the form of currency, using multiple functions.
Strand Bloom's Scope Activities
Multiple-step Problems Application Master Classroom
  
Linear Equations: Solve
The learner will be able to obtain solutions to linear equations.
Strand Bloom's Scope Activities
Linear Equations Application Master 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
  
Absolute Value
The learner will be able to evaluate expressions, apply the definition of absolute value, recognize absolute value expressions on number lines, and solve equations by finding the solution sets.
Strand Bloom's Scope Activities
Absolute Value Analysis 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: Identify/Equivalent Forms
The learner will be able to identify equivalent forms for simple algebraic expressions.
Strand Bloom's Scope Activities
Expressions Knowledge Master Classroom
  
Expressions: Evaluating
The learner will be able to evaluate expressions.
Strand Bloom's Scope Activities
Expressions Evaluation Master Classroom
  
Expressions: Solve/Linear
The learner will be able to obtain solutions to problems that involve linear expressions.
Strand Bloom's Scope Activities
Expressions Application Master Classroom
  
Expressions: Creating
The learner will be able to create and evaluate algebraic expressions from a given situation.
Strand Bloom's Scope Activities
Expressions Synthesis Master Classroom
  
Expressions: Create/Equivalent Forms
The learner will be able to create equivalent forms for simple algebraic expressions.
Strand Bloom's Scope Activities
Expressions Synthesis Master Classroom
  
Polynomials/Equations: Represent
The learner will be able to use manipulatives and geometric area models to represent equations and polynomials.
Strand Bloom's Scope Activities
Polynomials Comprehension Introduce Classroom
  
Exponents: Use/Properties
The learner will be able to use the properties of powers.
Strand Bloom's Scope Activities
Exponents Application Master Classroom
  
Exponents: Use/Perfect Square/Properties
The learner will be able to use properties of perfect squares.
Strand Bloom's Scope Activities
Exponents Application Master Classroom
  
Operations: Relationships
The learner will be able to comprehend the relationships among operations (addition to multiplication,subtraction to division).
Strand Bloom's Scope Activities
Operations Comprehension Master Classroom
  
Rules of Operation
The learner will be able to communicate in written and oral form about rules of operation.
Strand Bloom's Scope Activities
Operations Comprehension Master 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 Activities
Operations Analysis Master 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 Activities
Inverse Operations Application Master Classroom
  
Formulas: Problem Solving
The learner will be able to obtain solutions to problems involving formulas.
Strand Bloom's Scope Activities
Formulas Application Master Classroom
  
Formulas: Propose/Problems
The learner will be able to propose problems that use formulas.
Strand Bloom's Scope Activities
Formulas Synthesis Master Classroom
  
Identify Question
The learner will be able to identify the question that is represented in a number sentence.
Strand Bloom's Scope Activities
Identify Question Comprehension Master Classroom
  
Variable: Explain/Numerical Relationship
The learner will be able to explain numerical relationships using variables.
Strand Bloom's Scope Activities
Variable Comprehension Master Classroom
  
Variables: Relationships
The learner will be able to illustrate relationships through the use of variables.
Strand Bloom's Scope Activities
Variable Comprehension Master Classroom
  
Variable/Expression/Equation
The learner will be able to comprehend the concepts of variable, expression, and equation.
Strand Bloom's Scope Activities
Variable Comprehension Master Classroom
  
Equality/Inequality/Expression: Problems
The learner will be able to solve story problems involving equations, inequalities, and expressions.
Strand Bloom's Scope Activities
Equality/Inequality Application Master Classroom
  
Equality/Inequality: Solution Methods
The learner will be able to use technology (i.e., calculators) and graphing to solve systems of 2 first degree equations or inequalities with 2 variables in real world situations.
Strand Bloom's Scope Activities
Equality/Inequality Application Introduce Classroom
  
Computation: Fluency
The learner will be able to compute fluently.
Strand Bloom's Scope Activities
Computation Application Reinforce Classroom
  
Computation: Solve/Real/Whole Number
The learner will be able to obtain solutions to real-life computation problems involving whole numbers, integers and rational numbers.
Strand Bloom's Scope Activities
Computation Application Master 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
  
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 Activities
Solution Methods Comprehension Master Classroom
  
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Data Interpretation

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
  
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
  
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
  
Table: Story Problems/Multiple-step
The learner will be able to use and interpret information presented in a table, diagram, or chart to solve real world story problems involving multiple operations.
Strand Bloom's Scope Activities
Tables/Charts   Master Classroom
  
Logical Reasoning
The learner will be able to use critical thinking skills to solve problems (including determining the best money management plan or determining unknown information).
Strand Bloom's Scope Activities
Logical Reasoning   Master Classroom
  
Analyzing: Graphical Forms
The learner will be able to demonstrate the ability to interpret graphical forms of data by evaluating graphical forms in the following areas: accuracy, organization, and appropriateness of the forms given a specific audience and purpose.
Strand Bloom's Scope Activities
Analyzing/Evaluating Graphical Forms   Master Classroom
  
Pictographs: Identify
The learner will be able to identify data on a simple pictograph.
Strand Bloom's Scope Activities
Pictographs Knowledge Master 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
  
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
  
Table: Identify
The learner will be able to identify amounts from a table.
Strand Bloom's Scope Activities