Grade 6 Math

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Multiples/Factors

6.NS
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15 exercisesStart

Add/Subtract Fractions

6.NS
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Multiply/Divide Fractions

6.NS
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Add/Subtract Decimals

6.NS
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Multiply/Divide Decimals

6.NS
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18 exercisesStart

Ratios and Rates

6.RP
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Proportions and Percents

6.RP
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Integers and Coordinate Plane

6.NS6.G
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Exponents

6.EE.1
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Expressions

6.EE
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Order of Operations

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Linear Equations & Inequalities

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Shapes

6.G
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Data

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Common Core Standards

RP — Ratios & Proportional Relationships

Understand ratio concepts and use ratio reasoning to solve problems.
  • 6.RP.1Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
  • 6.RP.2Understand 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.
  • 6.RP.3Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

NS — The Number System

Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
  • 6.NS.1Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions.
Compute fluently with multi-digit numbers and find common factors and multiples.
  • 6.NS.2Fluently divide multi-digit numbers using the standard algorithm.
  • 6.NS.3Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
  • 6.NS.4Find 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.
Apply and extend previous understandings of numbers to the system of rational numbers.
  • 6.NS.5Understand that positive and negative numbers are used together to describe quantities having opposite directions or values; use positive and negative numbers to represent quantities in real-world contexts.
  • 6.NS.6Understand 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.
  • 6.NS.7Understand ordering and absolute value of rational numbers.
  • 6.NS.8Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane.

EE — Expressions & Equations

Apply and extend previous understandings of arithmetic to algebraic expressions.
  • 6.EE.1Write and evaluate numerical expressions involving whole-number exponents.
  • 6.EE.2Write, read, and evaluate expressions in which letters stand for numbers.
  • 6.EE.3Apply the properties of operations to generate equivalent expressions.
  • 6.EE.4Identify when two expressions are equivalent.
Reason about and solve one-variable equations and inequalities.
  • 6.EE.5Understand 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?
  • 6.EE.6Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.
  • 6.EE.7Solve 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.
  • 6.EE.8Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.
Represent and analyze quantitative relationships between dependent and independent variables.
  • 6.EE.9Use 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.

G — Geometry

Solve real-world and mathematical problems involving area, surface area, and volume.
  • 6.G.1Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes.
  • 6.G.2Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism.
  • 6.G.3Draw 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.
  • 6.G.4Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures.

SP — Statistics & Probability

Develop understanding of statistical variability.
  • 6.SP.1Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.
  • 6.SP.2Understand 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.
  • 6.SP.3Recognize 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.
Summarize and describe distributions.
  • 6.SP.4Display numerical data in plots on a number line, including dot plots, histograms, and box plots.
  • 6.SP.5Summarize numerical data sets in relation to their context.