Common Core 6th grade Math Standards 

(with Links to Skills practice on IXL.com)

6.RP Ratios and Proportional Relationships

6.RP.A Understand ratio concepts and use ratio reasoning to solve problems.

• • 6.RP.A.1 I can write and interpret ratios.

    • • Write a ratio: word problems (6-R.2)

  • 6.RP.A.2 I can find unit rates related to ratios.

    • • Unit rates and equivalent rates (6-R.7)

  • 6.RP.A.3 I can write equivalent ratios, including ratio tables.  (tables of equivalent ratios, tape diagrams, double number line diagrams, or equations)

  • 6.RP.A.3a I can plot pairs of ratios on the coordinate plane.

    • • Identify equivalent ratios (6-R.3)

      • Write an equivalent ratio (6-R.4)

      • Ratio tables (6-R.5)

      • Equivalent ratios: word problems (6-R.6)

  • 6.RP.A.3b I can solve unit rate problems such as unit pricing.

    • • Unit rates: word problems (6-R.9)

      • Unit prices (6-V.2)

      • Unit prices with fractions and decimals (6-V.3)

  • 6.RP.A.3c I can write a fraction or ratio as a percent.  I can find a number given the part and the percent.  I can find a percent of a number.

    • • What percentage is illustrated? (6-S.1)

      • Percents of numbers and money amounts (6-S.5)

      • Percents of numbers: word problems (6-S.6)

      • Find the total given a part and a percent (6-S.10)

      • Which is the better coupon? (6-V.1)

      • Sale prices (6-V.5)

  • 6.RP.A.3d I can use ratios to convert measurements.

    • • Convert and compare customary units (6-T.3)

      • Convert, compare, add, and subtract mixed customary units (6-T.4)

      • Multiply and divide mixed customary units (6-T.5)

      • Customary unit conversions involving fractions and mixed numbers (6-T.6)

      • Convert and compare metric units (6-T.7)

      • Convert between customary and metric systems (6-T.8)

      • Unit prices with customary unit conversions (6-V.4)

6.NS The Number System

6.NS.A Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

• • 6.NS.A.1 I can relate division of fractions to multiplication.  I can divide fractions by fractions using models.  I can divide fractions by fractions to solve problems.

    • • Reciprocals (6-L.2)

      • Divide fractions by whole numbers in recipes (6-L.4)

      • Divide fractions (6-L.5)

      • Divide fractions and mixed numbers (6-L.7)

      • Divide fractions and mixed numbers: word problems (6-L.8)

6.NS.B Compute fluently with multi-digit numbers and find common factors and multiples.

• • 6.NS.B.2 I can divide multi-digit numbers using the standard algorithm.

    • • Divisibility rules (6-C.1)

      • Division patterns with zeroes (6-C.2)

      • Divide numbers ending in zeroes: word problems (6-C.3)

      • Divide whole numbers - 2-digit divisors (6-C.5)

      • Divide whole numbers - 3-digit divisors (6-C.6)

• 6.NS.B.3 I can add and subtract multi-digit decimals.  I can multiply multi-digit decimals.  I can divide multi-digit decimals.

  • • Add and subtract decimal numbers (6-G.1)

    • Add and subtract decimals: word problems (6-G.2)

    • Maps with decimal distances (6-G.4)

    • Multiply decimals (6-H.2)

    • Divide decimals by whole numbers (6-H.4)

    • Divide decimals by whole numbers: word problems (6-H.5)

    • Multiply and divide decimals by powers of ten (6-H.6)

    • Division with decimal quotients (6-H.7)

    • Add, subtract, multiply, or divide two decimals (6-O.4)

    • Add, subtract, multiply, or divide two decimals: word problems (6-O.5)

• 6.NS.B.4 I can find greatest common factors.  I can find least common multiples.  I can use the distributive property to isolate a common factor.

  • • • Identify factors (6-E.4)

      • Greatest common factor (6-E.7)

      • Least common multiple (6-E.8)

      • GCF and LCM: word problems (6-E.9)

6.NS.C Apply and extend previous understandings of numbers to the system of rational numbers.

• • 6.NS.C.5 I can relate positive and negative numbers to real situations.

    • • Understanding integers (6-M.1)

  • 6.NS.C.6I can compare rational numbers using a number line.

  • 6.NS.C.6a I can write and identify opposites of integers.

    • • Absolute value and opposite integers (6-M.3)

      • Rational numbers: find the sign (6-P.6)

  • 6.NS.C.6b I can relate opposite numbers in ordered pairs to reflections.

    • • Quadrants (6-X.3)

  • 6.NS.C.6c I can graph or identify points in four quadrants.

    • • Decimal number lines (6-F.8)

      • Integers on number lines (6-M.2)

      • Graph integers on horizontal and vertical number lines (6-M.4)

      • Objects on a coordinate plane (6-X.1)

      • Graph points on a coordinate plane (6-X.2)

6.NS.C.7 Understand ordering and absolute value of rational numbers.

• • 6.NS.C.7a I can compare rational numbers using a number line.

    • • Compare integers (6-M.5)

  • 6.NS.C.7b I can write comparisons for ordering rational numbers in real situations.

    • • Compare rational numbers (6-P.1)

      • Put rational numbers in order (6-P.2)

      • Compare temperatures above and below zero (6-T.9)

  • 6.NS.C.7c I can understand the absolute value of a rational number as its distance from 0 on the number line.

    • • Absolute value and opposite integers (6-M.3)

      • Absolute value of rational numbers (6-P.3)

  • 6.NS.C.7d 

    • • Put rational numbers in order (6-P.2)

  • 6.NS.C.8 I can solve problems involving coordinate graphs in four quadrants.  I can find distance between two points with the same first or second coordinate.

    • • Coordinate planes as maps (6-X.4)

      • Distance between two points (6-X.5)

      • Follow directions on a coordinate plane (6-X.6)

6.EE Expressions and Equations

6.EE.A Apply and extend previous understandings of arithmetic to algebraic expressions.

• 6.EE.A.1 I can evaluate numerical expressions that include exponents.

  • • • Write multiplication expressions using exponents (6-D.1)

      • Evaluate exponents (6-D.2)

      • Find the missing exponent or base (6-D.3)

      • Exponents with decimal bases (6-D.4)

      • Exponents with fractional bases (6-D.5)

6.EE.A.2 Write, read, and evaluate expressions in which letters stand for numbers.

• • 6.EE.A.2a I can write or interpret simple expressions with variables.

    • • Write variable expressions (6-Y.1)

  • 6.EE.A.2b I can identify parts of an expression using mathematical terms.

    • • Identify terms and coefficients (6-Y.6)

      • Sort factors of expressions (6-Y.7)

  • 6.EE.A.2c I can evaluate expressions for specific values of the variables.  I can evaluate formulas for specific values.   (Order of Operations)

    • • Evaluate numerical expressions involving whole numbers (6-O.3)

      • Evaluate numerical expressions involving decimals (6-O.6)

      • Evaluate numerical expressions involving fractions (6-O.9)

      • Evaluate variable expressions with whole numbers (6-Y.3)

      • Evaluate multi-variable expressions (6-Y.4)

      • Evaluate variable expressions with decimals, fractions, and mixed numbers (6-Y.5)

  • 6.EE.A.3 I can write equivalent expressions using the distributive property.

    • • Multiply using the distributive property (6-Y.10)

      • Factor using the distributive property (6-Y.11)

      • Write equivalent expressions using properties (6-Y.13)

  • 6.EE.A.4 I can identify when two expressions are equivalent.

    • • Identify equivalent expressions (6-Y.15)

6.EE.B Reason about and solve one-variable equations and inequalities.

• • 6.EE.B.5 I can use substitution to decide if a number is a solution to an equation.

    • • Does x satisfy an equation? (6-Z.1)

      • Which x satisfies an equation? (6-Z.2)

      • Solutions to inequalities (6-AA.1)

  • 6.EE.B.6 I can use variables and expressions to represent situations.

    • • Write variable expressions: word problems (6-Y.2)

  • 6.EE.B.7 I can write equations of the form x + p = q to solve problems. I can write equations of the form px = q to solve problems.

    • • Model and solve equations using algebra tiles (6-Z.4)

      • Write and solve equations that represent diagrams (6-Z.5)

      • Solve one-step equations with whole numbers (6-Z.6)

      • Solve one-step equations with decimals, fractions, and mixed numbers (6-Z.7)

      • Solve one-step equations: word problems (6-Z.8)

  • 6.EE.B.8 I can write or interpret inequalities x > c  or  x < c.  I can represent inequalities on number line diagrams.

    • • Graph inequalities on number lines (6-AA.2)

      • Write inequalities from number lines (6-AA.3)

6.EE.C Represent and analyze quantitative relationships between dependent and independent variables.

• 6.EE.C.9 I can use two variables to represent two related quantities.  I can graph ordered pairs of related quantities.  I can write equations to describe related variables.

  • • • Identify independent and dependent variables (6-BB.2)

      • Find a value using two-variable equations (6-BB.3)

      • Solve word problems involving two-variable equations (6-BB.4)

      • Complete a table for a two-variable relationship (6-BB.5)

      • Write a two-variable equation (6-BB.6)

      • Identify the graph of an equation (6-BB.7)

      • Graph a two-variable equation (6-BB.8)

      • Interpret a graph: word problems (6-BB.9)

      • Write an equation from a graph using a table (6-BB.10)

6.G Geometry

6.G.A Solve real-world and mathematical problems involving area, surface area, and volume.

• 6.G.A.1 I can find areas of triangles. I can decompose and compose shapes into triangles and rectangles.   I can find areas of polygons.

  • • • Area of triangles (6-FF.3)

      • Area of parallelograms and trapezoids (6-FF.4)

      • Area of quadrilaterals (6-FF.5)

      • Area of compound figures (6-FF.6)

• 6.G.A.2 I can use cubes to find volumes of prisms with fractional edge lengths.  I can multiply to find volumes of prisms with fractional edge lengths.

  • • • Volume of cubes and rectangular prisms (6-FF.14)

• 6.G.A.3  I can draw polygons given coordinates for the vertices.  I can use coordinates to calculate the length of vertical or horizontal segments.

  • • • Graph triangles and quadrilaterals (6-CC.7)

• 6.G.A.4 I can represent 3-dimensional figures as nets.  I can calculate surface areas.

  • • • Surface area of cubes and rectangular prisms (6-FF.15)

6.SP Statistics and Probability

6.SP.A Develop understanding of statistical variability.

• 6.SP.A.1 I can recognize statistical questions.

  • • • Identify representative, random, and biased samples (6-HH.5)

• 6.SP.A.2 I can describe the center, spread (range), and shape of data on a dot plot.

  • • • Create line plots (6-GG.4)

      • Stem-and-leaf plots (6-GG.18)

      • Interpret box-and-whisker plots (6-GG.19)

• 6.SP.A.3  I can find the median of a data set.  I can find the mean of a data set.  I can recognize measures of center and variation of data.

  • • • Mean, median, mode, and range: find the missing number (6-HH.3)

6.SP.B Summarize and describe distributions.

• 6.SP.B.4  I can find quartiles and interquartile range.  I can display and describe data on box plots.

  • • • Create line plots (6-GG.4)

      • Interpret box-and-whisker plots (6-GG.19)

6.SP.B.5 Summarize numerical data sets in relation to their context, such as by:

• 6.SP.B.5a I can display and describe data on histograms.

  • • • Interpret line plots (6-GG.3)

      • Interpret histograms (6-GG.11)

• 6.SP.B.5b I can summarize data sets in relation to their context.

  • • • Identify representative, random, and biased samples (6-HH.5)

• 6.SP.B.5c I can find the mean absolute deviation of a data set.

  • • • Calculate mean, median, mode, and range (6-HH.1)

      • Interpret charts and graphs to find mean, median, mode, and range (6-HH.2)

      • Calculate mean absolute deviation (6-HH.4)

• 6.SP.B.5d I can relate the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.