United States · Common Core State Standards
6th Grade Mathematics
This course transitions students from elementary arithmetic to algebraic reasoning. Students explore proportional relationships, the system of rational numbers, and the foundational language of expressions and equations.
Ratios and Proportional Reasoning
Students develop a formal understanding of ratios and rates to solve real world problems involving multiplicative comparisons.
Understanding the relationship between two quantities and using ratio language to describe them.
Applying ratio reasoning to find unit rates in contexts like speed and pricing.
Connecting the concept of percent to a rate per 100 and solving related problems.
The Number System: Fractions and Decimals
Students master division of fractions and extend their computational fluency with multi digit decimals.
Using visual models and equations to interpret and compute quotients of fractions.
Perfecting the standard algorithms for addition, subtraction, multiplication, and division of decimals.
Finding the greatest common factor and least common multiple to solve problems.
Rational Numbers and the Coordinate Plane
Extending the number line to include negative numbers and plotting points in all four quadrants.
Understanding positive and negative numbers and their distance from zero.
Locating and plotting points using ordered pairs across all quadrants.
Expressions and Equations
Moving from arithmetic to algebra by using variables to represent unknown quantities and solving one variable equations.
Using variables to represent numbers and applying the Order of Operations.
Applying properties of operations to generate and identify equivalent expressions.
Using inverse operations to isolate variables and solve real world problems.
Area, Surface Area, and Volume
Solving geometric problems by decomposing shapes and understanding three dimensional space.
Finding the area of triangles and quadrilaterals by decomposing them into simpler shapes.
Calculating volume using fractional edge lengths and unit cubes.
Using two dimensional nets to represent and calculate the surface area of three dimensional figures.
Statistical Variability and Data Distribution
Introducing statistical thinking by analyzing data distributions and measures of center.
Calculating mean, median, and range to summarize data sets.
Creating and interpreting box plots, histograms, and dot plots.