learningobjectives skills instructional techniques · 2019-12-14 · postulates, and theorems prove...
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Grade: 6-8 Subject: Pre-Algebra Department: Math Division: Middle School Learning Objectives Skills Instructional
Techniques Evaluation
Students will: ● Number Sense
● Algebraic Reasoning
● Geometry
● Probability
● Data Analysis and
Statistics
Strategies for: ● Perform operations with
decimal numbers, fractions, percentages, and integers
● Recognize, justify, and generalize patterns and relationships
● Solve and graph linear functions and compare them to nonlinear functions
● Determine the surface area and volume of geometric shapes
● Graph geometric shapes in the coordinate plane
● Explore topics related to right triangles
Use of: ● Differentiated
instruction
● Direct instruction
● Multiple learning style instruction
● Peer-to-peer instruction
● Smart Board instruction
● Cooperative learning activities
● Guided practice activities
● Problem-based learning activities
● Real world applications
Use of: ● Tests
● Quizzes
● Homework
● Projects and Activities
● Performance
● Understand and
compute theoretical, experimental, and compound probability, permutations and combinations
● Define and calculate measures of central tendency and dispersion
● Display data by various methods
● Technology integration
Textbook: Prentice Hall Pre-Algebra, 2007
Grade: 6 Subject: Course I Math Department: Math Division: Middle School Learning Objectives Skills Instructional
Techniques Evaluation
Students will: ● Numbers and
Operations ● Algebra
● Geometry
● Measurement
● Data Analysis and
Probability
Strategies for: ● Understand numbers, ways
of representing numbers, number relationships, and the number system
● Understand patterns, relations, and functions
● Use algebraic symbols
● Analyze characteristics and properties of two and three dimensional shapes
● Describe spatial relationships, using visualization and modeling
● Utilize the process of measurement
● Understand measurable attributes of objects, units,
Use of: ● Differentiated
instruction
● Direct instruction
● Multiple learning style instruction
● Peer-to-peer instruction
● Smart Board instruction
● Cooperative learning activities
● Guided practice activities
● Problem-based learning activities
● Real world applications
Use of: ● Tests
● Quizzes
● Homework
● Projects and Activities
● Performance
and systems
● Use appropriate measurement tools
● Formulate questions that can be addressed with data
● Collect, represent, and analyze data
● Technology integration
Textbook: Prentice Hall Mathematics Course 1, 2008
Grade: 6 and 7 Subject: Course II Math Department: Math Division: Middle School Learning Objectives Skills Instructional
Techniques Evaluation
Student will: ● Number Sense
● Algebraic Reasoning
● Geometry
● Probability
● Data Analysis and
Statistics
Strategies for: ● Perform operations with
decimals, fractions, percents and integers
● Recognize patterns and relationships, represent and justify relationships, and generalize relationships to predict future behavior
● Define and determine perimeter and area of various geometric shapes
● Understand and compute theoretical, experimental, and compound probability as well as permutations and combinations
Use of: ● Differentiated
instruction
● Direct instruction ● Multiple learning style
instruction
● Peer-to-peer instruction
● Smart Board instruction
● Cooperative learning activities
● Guided practice activities
● Problem-based learning activities
● Real world applications
Use of: ● Tests
● Quizzes
● Homework
● Projects and Activities
● Performance
● Define and calculate
measures of central tendency and dispersion
● Display data in various methods such as frequency tables and box-and-whisker plots.
● Technology integration
Textbook: Prentice Hall Mathematics Course 2, 2008
Grade: 7 Subject: Algebra I Department: Math Division: Middle School
Learning Objectives
Skills Instructional Techniques
Evaluation
Students will: ● Number Sense
● Algebraic
Reasoning ● Geometry
● Probability
● Data Analysis and
Statistics
Strategies for: ● Add and subtract rational and
polynomial expressions ● Simplify radicals and exponential
expressions ● Solve linear equations
● Solve literal equations
● Graph lines
● Solve systems of equations and
inequalities ● Factor
● Interpret graphs
● Simplify absolute value
expressions ● Graph equations involving
Use of: ● Differentiated
instruction
● Direct instruction
● Multiple learning style instruction
● Peer-to-peer instruction
● Smart Board instruction
● Cooperative learning activities
● Guided practice activities
● Problem-based learning activities
● Real world applications
Use of: ● Tests
● Quizzes
● Homework
● Projects and
Activities
● Performance
absolute values
● Solve absolute value inequalities
● Technology integration
Textbook: Pearson Education, Inc. Algebra 1 Common Core, 2012
Grade: 7 and 8 Subject: Algebra I Department: Math Division: Middle School Learning Objectives Skills Instructional
Techniques Evaluation
Students will: ● Number Sense
● Algebraic Reasoning
● Geometry
● Probability
● Data Analysis and
Statistics
Strategies for: ● Add and subtract rational and
polynomial expressions
● Simplify radicals and exponential expressions
● Solve linear equations
● Solve literal equations
● Graph lines
● Solve systems of equations and inequalities
● Factor
● Interpret graphs
● Simplify absolute value expressions
● Graph equations involving
Use of: ● Differentiated
instruction
● Direct instruction
● Multiple learning style instruction
● Peer-to-peer instruction
● Smart Board instruction
● Cooperative learning activities
● Guided practice activities
● Problem-based learning activities
Use of: ● Tests
● Quizzes
● Homework
● Projects and
Activities
● Performance
absolute values ● Solve absolute value
inequalities
● Real world applications
● Technology integration
Textbook: Pearson Education, Inc. Algebra 1, 2007
Grade: 8 Subject: Geometry Honors Department: Math Division: Middle School LEARNING OBJECTIVES SKILLS INSTRUCTIONAL
TECHNIQUES EVALUATION
Students will: ● Basic Concepts and
Properties ● Lines, Angles, and Planes
● Triangles
● Polygons
● Circles
● Area and Volume
● Coordinate Geometry
Strategies for: ● Understand points, lines,
and planes
● Distinguish between collinear and coplanar
● Write geometric proofs
● Have a working knowledge of the definitions of geometric terms, properties, postulates, and theorems
● Prove that triangles are congruent by using side-side-side (SSS), angle-side-angle (ASA), and side-angle-side (SAS)
● Identify congruent parts of geometric figures
● Apply the midpoint formula
Use of: ● Differentiated instruction
● Direct instruction
● Multiple learning style
instruction
● Peer-to-peer instruction
● Smart Board instruction
● Cooperative learning activities
● Guided practice activities
● Problem-based learning activities
● Real world applications
● Technology integration
Use of: ● Tests
● Quizzes
● Homework
● Projects and Activities
● Performance
Grade: 8 Subject: Geometry Honors Department: Math Division: Middle School LEARNING OBJECTIVES SKILLS INSTRUCTIONAL
TECHNIQUES EVALUATION
● Recognize and work with
ratios
● Apply the Pythagorean Theorem
● Apply theorems about interior and exterior angles
● Recognize regular polygons
Textbook: ● McDougal, Littell and
Company Geometry for Enjoyment and Challenge, 1991