Accelerated 7/8 Grade Math

Course Title: Accelerated 7/8 Grade MathKALogonew2012 copy
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Course Description

The Accelerated 7th/8th grade Math course uses comprehension, precision, and application skills to learn mathematical concepts/processes. The primary objective of the course is to teach students to think like mathematicians who become well-informed, problem solving citizens. Students will examine concepts covered in the Big Ideas textbook. This course is rigorous in its pace and volume of content as it is a combination of all concepts covered in 7th and 8th grade.

Power Standards

  1. Comprehend vocabulary and explain mathematical processes.
  2. Compute with precision “naked number” problems showing work step by step.
  3. Apply and interpret word problems and concepts.

Course Outline

Semester One: Equations, Transformations, Angles & Triangles, and Graphing & Writing Linear Equations

 Guiding Questions Learning Objectives
  • How can you use inductive reasoning to discover rules in mathematics and test it?
  • How can you manipulate figures in a coordinate plane?
  • How can you recognize and graph a linear equation?  
  • How do we use rational numbers to make sense of the world around me?
  • How do we use expressions and equations to create and construct understanding real-life scenarios?
  • How do we use ratios and proportional reasoning to analyze fairness and make prediction about the future?
  • Analyze and solve linear equations
  • Understand congruence and similarity using physical models, transparencies, or geometry software
  • Understand congruence and similarity using physical models, transparencies, or geometry software
  • Understand the connections between proportional relationships, lines, and linear equations
  • Analyze and solve linear equations
  • Apply and extend understandings of operations with fractions to add, subtract, multiply, and divide rational numbers
  • Use properties of operations to generate equivalent expressions
  • Solve real-life and mathematical problems using numerical and algebraic expressions and equations
  • Analyze proportional relationships and use them to solve real-world and mathematical problems
 Summative Projects: Unit Exams

 

Semester Two: Systems of Linear Equations, Functions, Real Numbers & the Pythagorean Theorem, Volume & Similar Solids, Data Analysis & Displays, and Exponents & Scientific Notation

 Guiding Questions Learning Objectives
  • How can you solve a system of linear equations?
  • How can you recognize and represent a function?
  • How can you use the Pythagorean Theorem to find the side lengths of a triangle?
  • How can you find the volume of a figure?
  • How can you collect and analyze data?
  • How can you use inductive reasoning to observe patterns and write general rules involving properties of exponents?
  • How do I use geometry to analyze the shapes in the world?
  • How do I use statistics and probability to interpret and draw conclusions about the world?
  • Understand the connections between proportional relationships, lines, and linear equations
  • Analyze and solve linear equations and pairs of simultaneous equations
  • Define, evaluate, and compare functions
  • Use functions to model relationships between quantities.
  • Work with radicals and integer exponents
  • Understand the connections between proportional relationships, lines, and linear equation.
  • Know that there are numbers that are not rational, and approximate them by rational numbers
  • Understand congruence and similarity using physical models
  • Understand and apply the Pythagorean Theorem to solve real-world and mathematical problems
  • Understand congruence and similarity using physical models, transparencies, or geometry software
  • Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres
  • Investigate patterns to analyze and display data.
  • Work with radicals and integer exponents
  • Understand the connections between proportional relationships
  • Analyze and solve expressions
  • Draw, construct, and describe geometrical figures and describe the relationships between them
  • Solve real-life and mathematical problems involving angle measure, area, surface area, and volume
  • Investigate chance processes and develop, use, and evaluate probability models
 Summative Projects: Unit Exams

 

 Career and Life Skills
 Social and Cross Cultural The student respects and contributes to the diverse learning community by:

  • Honoring  the ideas and opinions of others and
  • Interacting effectively and appropriately with others.
 Productivity and  Accountability The student takes ownership of work and actions  by:

  • Completing assignments on time
  • Arriving prepared and on time
  • Managing time
 Initiative and Self Direction The student demonstrates independence by:

  • Self-advocating for assistance or resources
  • Persevering through rigorous/challenging tasks
  • Utilizing feedback