6-8 Math

Old Orchard Beach Learning Results/ 6-8

Math

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6-8 MATH-NUMBER SENSE

CONTENT STANDARD

Students will be able to reason mathematically, to communicate effectively using appropriate terminology and symbols and to understand, demonstrate and apply number sense.

Performance Indicators

Assessment Strategies

� Problem solving and reasonableness of answer/s are expected for each performance indicator.

� Appropriate technology and tools will be used to facilitate problem solving and mathematical investigation.

6-8 understand and differentiate sets of numbers

� (6) recognize and classify numbers (whole, natural, integers)

� (7-8) classify numbers (natural, whole, integers, rational, irrational, real)

6-8 understand exponents and scientific notation

� (6) recognize exponential math

� (7-8) use exponential math to solve or simplify problems

� (7-8) learn scientific notation

6-8 understand a variety of equivalent and interchangeable number forms and the similarities and differences among fractions,

decimals, ratios, proportions, percents, and integers

� (6-8) convert fractions to decimals to percent

� (6-8) use fractions and mixed numbers to add, subtract, multiply, divide, simplify

� (6-8) use fractions and mixed numbers to add, subtract, multiply, divide, simplify

� (6-8) use percent in real-life situations

� (7-8) solve basic algebraic equations involving fractions and decimals

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6-8 MATH-COMPUTATION SKILLS

CONTENT STANDARD

Students will be able to reason mathematically, to communicate effectively using appropriate terminology and symbols and to understand, demonstrate and apply computation skills.

Performance Indicators

Assessment Strategies

� Problem solving and reasonableness of answer/s are expected for each performance indicator.

� Appropriate technology and tools will be used to facilitate problem solving and mathematical investigation.

6-8 compute and model all four operations with whole numbers, fractions, decimals and percents

� (6-8) add, subtract, multiply and divide whole numbers

� (6-8) add, subtract, multiply and divide fractions

� (6-8) add, subtract, multiply and divide decimals

� (7-8) add, subtract, multiply and divide integers

6-8 compute using the proper order of operations

� (6) solve basic numerical expressions using proper order of operations: parenthesis, times or divide, and plus or minus

� (7-8) solve complex algebraic and numerical expressions using order of operations

6-8 compute with exponents and square roots

� (6) prime factorize any given number (express using exponents)

� (7-8) solve problems using exponents, square roots and scientific notation

Top

6-8 MATH-CONCEPTS OF DATA ANALYSIS, STATISTICS, PROBABILITY

CONTENT STANDARD

Students will be able to reason mathematically, to communicate effectively using appropriate terminology and symbols and to understand, demonstrate and apply data analysis, statistics and probability skills.

Performance Indicators

Assessment Strategies

� Problem solving and reasonableness of answer/s are expected for each performance indicator.

� Appropriate technology and tools will be used to facilitate problem solving and mathematical investigation.

6-8 collect, assemble and interpret data in the form of charts, tables and graphs

� (6) infer using given data (charts, graphs, etc.)

� (7-8) collect and use data in the form of charts, tables, and graphs

6-8 organize and analyze data using mean, median, mode and range

� (6-8) compute mean, median, mode, and range of a set of data

� (6-8) find all possible combinations and arrangements involving a limited number of variables

� (7-8) find probability of simple events

� (7-8) predict the outcomes of given situations and experiments

Top

6-8 MATH-GEOMETRIC CONCEPTS

CONTENT STANDARD

Students will be able to reason mathematically, to communicate effectively using appropriate terminology and symbols and to understand, demonstrate and apply geometric concepts.

Performance Indicators

Assessment Strategies

� Problem solving and reasonableness of answer/s are expected for each performance indicator.

� Appropriate technology and tools will be used to facilitate problem solving and mathematical investigation.

6-8 compare, classify and construct two and three dimensional figures

� (6-7) compare and classify two dimensional figures

� (7-8) compare, classify and construct two and three dimensional figures

� (6-8) describe two and three dimensional figures using appropriate terminology

6-8 understand shapes in terms of geometric concepts

� (6-8) solve problems by applying the concepts of parallel, perpendicular, congruence

� (7-8) solve problems by applying the concepts of similarity and symmetry

6-8 apply geometric properties to examples involving circles, perimeter, area and volume

� (6-8) use basic area and perimeter formulas

� (6-8) calculate circumference and area of circles

� (7-8) calculate volume of geometric figures using formulas

� (8) recognize the differences of surface area of various geometric shapes

6-8 recognize and apply geometric properties involving angles

� (6-8) classify angles by measure

� (7-8) measure and construct angles

� (7-8) solve problems by applying the concepts of angles (complementing, supplementary, sums of angles)

Top

6-8 MATH-CONCEPTS OF MEASUREMENT

CONTENT STANDARD

Students will be able to reason mathematically, to communicate effectively using appropriate terminology and symbols and to understand, demonstrate and apply measurement concepts.

Performance Indicators

Assessment Strategies

� Problem solving and reasonableness of answer/s are expected for each performance indicator.

� Appropriate technology and tools will be used to facilitate problem solving and mathematical investigation.

6-8 use appropriate units of measure

� (6-8) demonstrate an understanding of equivalencies using appropriate units of measure within systems of measurement (i.e., 12 inches

equals one foot, 60 seconds equals one minute, 52 weeks equals one year)

� (6-8) convert units of measure within customary and metric systems

6-8 select and demonstrate an understanding of the corresponding units for length, area and volume

� (6-8) use appropriate units of measurement for length, area, volume and mass

� (6-8) use appropriate labels for measurement of length, area, volume and mass

6-8 understand and use the system of measurement for length, volume, mass, temperature and time

� (6-8) recognize and use appropriate tools for the measurement of length, volume, mass, temperature and time

Top

6-8 MATH-CONCEPTS OF PATTERNS AND RELATIONSHIPS

CONTENT STANDARD

Students will be able to reason mathematically, to communicate effectively using appropriate terminology and symbols and to understand, demonstrate and apply concepts of patterns and relationships.

Performance Indicators

Assessment Strategies

� Problem solving and reasonableness of answer/s are expected for each performance indicator.

� Appropriate technology and tools will be used to facilitate problem solving and mathematical investigation.

6-8 analyze and represent mathematical relationships

� (6-8) use patterns and multiple representations to solve problems

� (6-8) develop and practice problem solving skills, using the four step plan

Top

6-8 MATH-ALGEBRAIC CONCEPTS

CONTENT STANDARD

Students will be able to reason mathematically, to communicate effectively using appropriate terminology and symbols and to understand, demonstrate and apply algebraic concepts.

Performance Indicators

Assessment Strategies

� Problem solving and reasonableness of answer/s are expected for each performance indicator.

� Appropriate technology and tools will be used to facilitate problem solving and mathematical investigation.

6-8 understand the concepts of variable expression and equations

� (6) evaluate algebraic expressions

� (7) simplify basic algebraic expressions

� (8) find all possible combinations involving a limited number of variables

6-8 solve linear equations

� (7) develop knowledge of addition, subtraction, multiplication and division of integers

� (7) combine like terms

� (8) evaluate algebraic expressions and solve linear equations and inequalities

6-8 demonstrate an understanding of inequalities

� (6-7) (see performance indicator re: different sets of numbers)

� (8) solve and graph algebraic inequalities

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Back to 6-8 Learning Results
Back to OOB Learning Results

6-8 MATH-NUMBER SENSE

CONTENT STANDARD

Students will be able to reason mathematically, to communicate effectively using appropriate terminology and symbols and to understand, demonstrate and apply number sense.

Performance Indicators	Assessment Strategies
*� Problem solving and reasonableness of answer/s are expected for each performance indicator.*
*� Appropriate technology and tools will be used to facilitate problem solving and mathematical investigation.*

6-8 understand and differentiate sets of numbers
� (6) recognize and classify numbers (whole, natural, integers)
� (7-8) classify numbers (natural, whole, integers, rational, irrational, real)

6-8 understand exponents and scientific notation
� (6) recognize exponential math
� (7-8) use exponential math to solve or simplify problems
� (7-8) learn scientific notation

6-8 understand a variety of equivalent and interchangeable number forms and the similarities and differences among fractions,
decimals, ratios, proportions, percents, and integers
� (6-8) convert fractions to decimals to percent
� (6-8) use fractions and mixed numbers to add, subtract, multiply, divide, simplify
� (6-8) use fractions and mixed numbers to add, subtract, multiply, divide, simplify
� (6-8) use percent in real-life situations
� (7-8) solve basic algebraic equations involving fractions and decimals
Top
6-8 MATH-COMPUTATION SKILLS

CONTENT STANDARD

Students will be able to reason mathematically, to communicate effectively using appropriate terminology and symbols and to understand, demonstrate and apply computation skills.

Performance Indicators	Assessment Strategies
*� Problem solving and reasonableness of answer/s are expected for each performance indicator.*
*� Appropriate technology and tools will be used to facilitate problem solving and mathematical investigation.*

6-8 compute and model all four operations with whole numbers, fractions, decimals and percents
� (6-8) add, subtract, multiply and divide whole numbers
� (6-8) add, subtract, multiply and divide fractions
� (6-8) add, subtract, multiply and divide decimals
� (7-8) add, subtract, multiply and divide integers

6-8 compute using the proper order of operations
� (6) solve basic numerical expressions using proper order of operations: parenthesis, times or divide, and plus or minus
� (7-8) solve complex algebraic and numerical expressions using order of operations

6-8 compute with exponents and square roots
� (6) prime factorize any given number (express using exponents)
� (7-8) solve problems using exponents, square roots and scientific notation
Top
6-8 MATH-CONCEPTS OF DATA ANALYSIS, STATISTICS, PROBABILITY

CONTENT STANDARD

Students will be able to reason mathematically, to communicate effectively using appropriate terminology and symbols and to understand, demonstrate and apply data analysis, statistics and probability skills.

Performance Indicators	Assessment Strategies
*� Problem solving and reasonableness of answer/s are expected for each performance indicator.*
*� Appropriate technology and tools will be used to facilitate problem solving and mathematical investigation.*

6-8 collect, assemble and interpret data in the form of charts, tables and graphs
� (6) infer using given data (charts, graphs, etc.)
� (7-8) collect and use data in the form of charts, tables, and graphs

6-8 organize and analyze data using mean, median, mode and range
� (6-8) compute mean, median, mode, and range of a set of data
� (6-8) find all possible combinations and arrangements involving a limited number of variables
� (7-8) find probability of simple events
� (7-8) predict the outcomes of given situations and experiments
Top
6-8 MATH-GEOMETRIC CONCEPTS

CONTENT STANDARD

Students will be able to reason mathematically, to communicate effectively using appropriate terminology and symbols and to understand, demonstrate and apply geometric concepts.

Performance Indicators	Assessment Strategies

*� Problem solving and reasonableness of answer/s are expected for each performance indicator.*
*� Appropriate technology and tools will be used to facilitate problem solving and mathematical investigation.*
6-8 compare, classify and construct two and three dimensional figures
� (6-7) compare and classify two dimensional figures
� (7-8) compare, classify and construct two and three dimensional figures
� (6-8) describe two and three dimensional figures using appropriate terminology

6-8 understand shapes in terms of geometric concepts
� (6-8) solve problems by applying the concepts of parallel, perpendicular, congruence
� (7-8) solve problems by applying the concepts of similarity and symmetry

6-8 apply geometric properties to examples involving circles, perimeter, area and volume
� (6-8) use basic area and perimeter formulas
� (6-8) calculate circumference and area of circles
� (7-8) calculate volume of geometric figures using formulas
� (8) recognize the differences of surface area of various geometric shapes

6-8 recognize and apply geometric properties involving angles
� (6-8) classify angles by measure
� (7-8) measure and construct angles
� (7-8) solve problems by applying the concepts of angles (complementing, supplementary, sums of angles)
Top
6-8 MATH-CONCEPTS OF MEASUREMENT

CONTENT STANDARD

Students will be able to reason mathematically, to communicate effectively using appropriate terminology and symbols and to understand, demonstrate and apply measurement concepts.

Performance Indicators	Assessment Strategies
*� Problem solving and reasonableness of answer/s are expected for each performance indicator.*
*� Appropriate technology and tools will be used to facilitate problem solving and mathematical investigation.*

6-8 use appropriate units of measure
� (6-8) demonstrate an understanding of equivalencies using appropriate units of measure within systems of measurement (i.e., 12 inches
equals one foot, 60 seconds equals one minute, 52 weeks equals one year)
� (6-8) convert units of measure within customary and metric systems

6-8 select and demonstrate an understanding of the corresponding units for length, area and volume
� (6-8) use appropriate units of measurement for length, area, volume and mass
� (6-8) use appropriate labels for measurement of length, area, volume and mass

6-8 understand and use the system of measurement for length, volume, mass, temperature and time
� (6-8) recognize and use appropriate tools for the measurement of length, volume, mass, temperature and time
Top
6-8 MATH-CONCEPTS OF PATTERNS AND RELATIONSHIPS

CONTENT STANDARD

Students will be able to reason mathematically, to communicate effectively using appropriate terminology and symbols and to understand, demonstrate and apply concepts of patterns and relationships.

Performance Indicators	Assessment Strategies
*� Problem solving and reasonableness of answer/s are expected for each performance indicator.*
*� Appropriate technology and tools will be used to facilitate problem solving and mathematical investigation.*

6-8 analyze and represent mathematical relationships
� (6-8) use patterns and multiple representations to solve problems
� (6-8) develop and practice problem solving skills, using the four step plan
Top
6-8 MATH-ALGEBRAIC CONCEPTS

CONTENT STANDARD

Students will be able to reason mathematically, to communicate effectively using appropriate terminology and symbols and to understand, demonstrate and apply algebraic concepts.

Performance Indicators	Assessment Strategies
*� Problem solving and reasonableness of answer/s are expected for each performance indicator.*
*� Appropriate technology and tools will be used to facilitate problem solving and mathematical investigation.*

6-8 understand the concepts of variable expression and equations
� (6) evaluate algebraic expressions
� (7) simplify basic algebraic expressions
� (8) find all possible combinations involving a limited number of variables

6-8 solve linear equations
� (7) develop knowledge of addition, subtraction, multiplication and division of integers
� (7) combine like terms
� (8) evaluate algebraic expressions and solve linear equations and inequalities

6-8 demonstrate an understanding of inequalities
� (6-7) (see performance indicator re: different sets of numbers)
� (8) solve and graph algebraic inequalities
Top