Grade 6 Math

Course Title: Grade 6 Math
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Course Description

The 6th grade Math course uses comprehension, precision, and application skills to learn mathematical concepts and 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.

Power Standards

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

Course Outline

Semester One: The Number System and Proportional Relationships & Algebraic Thinking

 Guiding Questions Learning Objectives
  • How can you use previous understanding of number operations to understand new concepts in numerical expressions?
  • How does changing the order of operations affect the outcome?
  • How does an answer change when a factor or divisor is greater than or less than one?
  • How can the relationship between numbers be represented?
  • How can proportional thinking help you find the percent, decimal and fraction of a number?
  • How can you use algebra to represent real life?
  • How can you use variables and algebraic expressions to solve mathematical problems?
  • How are numbers less than zero represented?
  • How can inverse operations help you solve an equation or inequality?
  • Fluently divide multi-digit numbers
  • Divide fractions and mixed numbers, and solve word problems involving division of fractions
  • Add, subtract, multiply, and divide multi-digit decimals efficiently
  • Find the Greatest Common Factor of two whole numbers less than 100 and the Least Common Multiple of two whole numbers less than 12
  • Write and evaluate numerical expressions using whole-number exponents
  • Understand ratios, rates, and unit rates, and compare ratios using tables
  • Find percent as a rate of 100
  • Solve problems finding the whole, given part and percent
  • Use ratio reasoning to convert measurement units
  • Write and evaluate algebraic expressions
  • Find the Greatest Common Factor in algebraic expressions
  • Apply mathematical properties to that expressions are equivalent
  • Describe quantities with positive and negative numbers
  • Compare and order integers and absolute value numbers
  • Graph ordered pairs in a coordinate plane
  • Determine if a value is a solution
  • Solve one-step equations & inequalities
 Summative Projects: Unit Exams

Semester Two: Geometry (area & volume) & Statistics

 Guiding Questions Learning Objectives
  • How is geometry used in real life problem solving?
  • How are area formulas related and derived from each other?
  • How can you interpret and understand drawings and models of 3-D solids to find their surface area and volume?
  • How can tell if a survey question is statistically strong?
  • How can you best describe the value of a data set?
  • How is the variation of a data set different than its measure of center?
  • How can data best be represented graphically?
    • Find areas of triangles, quadrilaterals, and polygons
    • Find the distance between coordinate points
    • Draw polygons in the coordinate plane and find side lengths
    • Use nets of rectangles and triangles to find surface area
    • Find volume of prisms
  • Recognizes statistical questions as highly variable, and the data collected can be described by center, spread, and shape
  • Use measures of center to summarize data with a single number
  • Use measures of variation (spread) to describe how data varies
  • Display data on number lines, dot plots, stem- and-leaf plots, histograms, and box-and-whisker plots
  • Choose appropriate measures of center and variation based on shape of data
 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