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Grade 6 Math Courses - Common Core Curriculum

Discover comprehensive Grade 6 math courses aligned with Common Core standards. From ratios to statistics, build a strong foundation for advanced math concepts and problem-solving skills.

Common Core Grade 6 Math Curriculum

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Common Core ID
Standard
StudyPug Topic
6.RP.A.1
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
What is ratio?
Ratios
6.RP.A.2
Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship.
Converting among ratios, fractions and decimals
Rates
6.RP.A.3
Use ratio and rate reasoning to solve real-world and mathematical problems.
Rates with fractions
Proportions
6.NS.A.1
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions.
Dividing fractions and mixed numbers
Applications of fraction operations
6.NS.B.2
Fluently divide multi-digit numbers using the standard algorithm.
Dividing multi-digit numbers
Dividing decimals
6.NS.B.3
Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
Adding and subtracting decimals
Multiplying decimals
6.NS.B.4
Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12.
Determining common factors
Greatest common factors (GCF)
Least common multiple (LCM)
Determining common multiples
6.NS.5
Understand that positive and negative numbers are used together to describe quantities having opposite directions or values.
Introduction to integer addition
6.NS.6
Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.
Adding integers
6.NS.7
Understand ordering and absolute value of rational numbers.
Introduction to integer subtraction
6.NS.8
Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane.
Cartesian plane
6.EE.A.1
Write and evaluate numerical expressions involving whole-number exponents.
Using exponents to describe numbers
Introduction to exponents
6.EE.A.2
Write, read, and evaluate expressions in which letters stand for numbers.
Writing expressions with variables
Evaluating algebraic expressions
6.EE.A.3
Apply the properties of operations to generate equivalent expressions.
Combining like terms
Order of operations (PEMDAS)
6.EE.A.4
Identify when two expressions are equivalent.
Equivalent expressions
Patterns
6.EE.A.5
Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true?
Introduction to linear equations
6.EE.B.6
Use variables to represent numbers and write expressions when solving a real-world or mathematical problem.
Introduction to nonlinear equations
6.EE.B.7
Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
Special case of linear equations: Horizontal lines
Model and solve one-step linear equations: ax = b, x/a = b
Solving one - step equations: x + a = b
6.EE.B.8
Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem.
Express linear inequalities graphically and algebraically
Solving one-step linear inequalities
6.EE.C.9
Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable.
Representing patterns in linear relations
Reading linear relation graphs
Solving linear equations by graphing
6.G.A.1
Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes.
Area and perimeter of triangles
Area and perimeter of rectangles
Area and perimeter of parallelograms
6.G.A.2
Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths.
Introduction to volume
Volume of prisms
6.G.A.3
Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate.
Draw on coordinate planes
6.G.A.4
Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures.
Surface area of prisms
Introduction to surface area of 3-dimensional shapes
Nets of 3-dimensional shapes
6.SP.A.1
Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.
Median and mode
Organizing data
6.SP.A.2
Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.
Mean
6.SP.A.3
Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.
Range and outliers
6.SP.B.4
Display numerical data in plots on a number line, including dot plots, histograms, and box plots.
Reading and drawing histograms
Reading and drawing bar graphs
Box-and-whisker plots and scatter plots
Frequency tables and dot plots
6.SP.B.5
Summarize numerical data sets in relation to their context.
Application of averages
Advantages and disadvantages of different graphs
Misleading graphs
Critiquing data presentation

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