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

   

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