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6th Grade Mathematics

Mathematical Practices

  1. Makes sense of problems and perseveres in solving them
  2. Represents thinking with visual models and equations
  3. Attends to precision
  4. Communicates mathematical thinking effectively
  5. Reasons abstractly and quantitatively
  6. Constructs viable arguments and critiques the reasoning of others

Number Sense and Operations

  1. Identifies numbers as rational, prime, composite, and square
  2. Finds the LCM and GCF of multi-digit numbers
  3. Compares positive and negative rational numbers using the number line
  4. Converts between fractions, decimals, and percentages
  5. Performs the four operations with fractions and mixed numbers, including word problems
  6. Performs the four operations on decimals, including word problems
  7. Writes ratios and rates to compare two quantities
  8. Uses equivalent fractions and equivalent ratios to solve multi-step problems

Geometry and Measurement

  1. Calculates area and perimeter of triangles, quadrilaterals, and composite figures
  2. Calculates volume and surface area of rectangular prisms
  3. Graphs points in all four quadrants to solve geometric problems

Algebra

  1. Evaluates expressions using the order of operations and the distributive property
  2. Writes expressions and equations in which letters stand for numbers
  3. Solves one-step linear equations using fact families
  4. Represents and analyzes relationships between dependent and independent variables using data tables and graphs

Data Analysis and Probability

  1. Calculates and interprets summary statistics
  2. Creates and interprets visual representations of data

Ratios and Proportional Relationships

  1. Writes ratios and rates to compare two quantities
  2. Uses equivalent fractions and equivalent ratios to solve multi-step problems