-
6Grade 6 Standards
Top Mathematicians
-
Expressions, Equations, and Relationships
-
6.EE.111.26.b.10A
Model and solve one-variable, one-step equations and inequalities that represent problems, including geometric concepts.
-
6.EE.111.26.b.10B
Determine if the given value(s) make(s) one-variable, one-step equations or inequalities true.
-
-
6.13Two-Variable Equations5
-
6.36Variable Inequalities10
-
6.40Solve One-Step Linear Inequalities5
-
-
6.EE.111.26.b.6A
Identify independent and dependent quantities from tables and graphs.
-
6.EE.111.26.b.6B
Write an equation that represents the relationship between independent and dependent quantities from a table.
-
6.EE.111.26.b.6C
Represent a given situation using verbal descriptions, tables, graphs, and equations in the form y = kx or y = x + b.
-
-
6.15Write Variable Expressions5
-
6.40Solve One-Step Linear Inequalities5
-
6.43Simplify Variable Expressions10
-
6.63Evaluate Variable Expressions with Whole Numbers5
-
6.64Evaluate Variable Expressions with Decimals and Fractions5
-
6.65Evaluate Multi-Variable Expressions15
-
6.66Write Variable Expressions5
-
6.81Graph Linear Functions15
-
6.139Simple Interest15
-
-
6.EE.111.26.b.7A
Generate equivalent numerical expressions using order of operations, including whole number exponents and prime factorization.
-
-
6.44Exponents: Solve for the Variable15
-
6.51Write Multiplication Expressions Using Exponents10
-
6.52Exponents with Decimal Bases15
-
6.53Exponents with Fractional Bases15
-
6.69Factors of Multiplication5
-
6.70Greatest Common Factors (GCF)15
-
6.71Identify Factors20
-
-
6.EE.111.26.b.7B
Distinguish between expressions and equations verbally, numerically, and algebraically.
-
-
6.EE.111.26.b.7C
Determine if two expressions are equivalent using concrete models, pictorial models, and algebraic representations.
-
-
6.36Variable Inequalities10
-
6.38Inequalities with Decimal Division15
-
6.40Solve One-Step Linear Inequalities5
-
6.121Inequalities with Scientific Notation15
-
6.140Model and Solve Equations Using Algebra Tiles5
-
-
6.EE.111.26.b.7D
Generate equivalent expressions using the properties of operations: inverse, identity, commutative, associative, and distributive properties.
-
-
6.79Add and Subtract Like Terms10
-
6.80Solve Mixed Equations5
-
6.116Properties of Addition5
-
6.117Distributive Property5
-
6.141Choose Properties of Multiplication15
-
6.142Properties of Addition and Multiplication15
-
6.143Simplify Variable Expressions Using Properties10
-
6.144Solve Equations Using Properties5
-
-
6.EE.111.26.b.8A
Extend previous knowledge of triangles and their properties to include the sum of angles of a triangle, the relationship between the lengths of sides and measures of angles in a triangle, and determining when three lengths form a triangle.
-
-
6.85Area of Right Triangles10
-
6.88Types of Triangles5
-
-
6.EE.111.26.b.8B
Model area formulas for parallelograms, trapezoids, and triangles by decomposing and rearranging parts of these shapes.
-
6.EE.111.26.b.8C
Write equations that represent problems related to the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers.
-
-
6.EE.111.26.b.8D
Determine solutions for problems involving the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers.
-
-
6.83Area of Complex Figures10
-
6.84Compare Area and Perimeter of Two Figures15
-
6.85Area of Right Triangles10
-
6.86Volume of Cubes and Rectangular Prisms5
-
-
6.EE.111.26.b.9A
Write one-variable, one-step equations and inequalities to represent constraints or conditions within problems.
-
-
6.15Write Variable Expressions5
-
6.16Write Variable Equations to Represent5
-
6.66Write Variable Expressions5
-
6.147Write Linear Functions10
-
-
6.EE.111.26.b.9B
Represent solutions for one-variable, one-step equations and inequalities on number lines.
-
-
6.EE.111.26.b.9C
Write corresponding real-world problems given one-variable, one-step equations or inequalities.
-
-
6.EE.111.26.b.10A
-
Measurement and Data
-
6.MD.111.26.b.11
The student applies mathematical process standards to use coordinate geometry to identify locations on a plane. The student is expected to graph points in all four quadrants using ordered pairs of rational numbers.
-
-
6.MD.111.26.b.12A
Represent numeric data graphically, including dot plots, stem-and-leaf plots, histograms, and box plots.
-
-
6.93Create Pictographs5
-
6.95Create Line Plots5
-
6.96Create Line Plots II5
-
6.97Create Frequency Tables5
-
6.99Create Bar Graphs5
-
6.101Create Double Bar Graphs Using Tables5
-
6.102Create Histograms5
-
6.106Create Line Graphs5
-
6.108Create Double Line Graphs Using Tables5
-
6.109Stem-And-Leaf Plots5
-
6.110Interpret Box-And-Whisker Plots5
-
-
6.MD.111.26.b.12B
Use the graphical representation of numeric data to describe the center, spread, and shape of the data distribution.
-
-
6.110Interpret Box-And-Whisker Plots5
-
6.111Interpret Charts to Find Mean, Median, Mode, and Range5
-
6.149Interpret Charts to Find Mean5
-
6.150Interpret Charts to Find Median5
-
6.151Interpret Charts to Find Mode5
-
6.152Interpret Charts to Find Range5
-
-
6.MD.111.26.b.12C
Summarize numeric data with numerical summaries, including the mean and median (measures of center) and the range and interquartile range (IQR) (measures of spread), and use these summaries to describe the center, spread, and shape of the data distribution.
-
-
6.42Mean, Median, Mode, and Range: Find the Missing Number10
-
6.153Calculate Mean10
-
6.154Calculate Mode10
-
6.155Calculate Range10
-
6.156Calculate Median10
-
6.157Calculate Mean, Median, Mode and Range10
-
-
6.MD.111.26.b.12D
Summarize categorical data with numerical and graphical summaries, including the mode, the percent of values in each category (relative frequency table), and the percent bar graph, and use these summaries to describe the data distribution.
-
-
6.97Create Frequency Tables5
-
6.103Circle Graphs with Fractions5
-
6.104Interpret Circle Graphs5
-
-
6.MD.111.26.b.13A
Interpret numeric data summarized in dot plots, stem-and-leaf plots, histograms, and box plots.
-
-
6.92Interpret Pictographs20
-
6.94Interpret Line Plots with Up to 5 Data Points5
-
6.98Interpret Bar Graphs5
-
6.100Interpret Double Bar Graphs5
-
6.102Create Histograms5
-
6.104Interpret Circle Graphs5
-
6.105Interpret Line Graphs5
-
6.107Interpret Double Line Graphs5
-
6.109Stem-And-Leaf Plots5
-
6.110Interpret Box-And-Whisker Plots5
-
-
6.MD.111.26.b.13B
Distinguish between situations that yield data with and without variability.
-
-
6.MD.111.26.b.11
-
Personal Financial Literacy
-
6.PFL.111.26.b.14A
Compare the features and costs of a checking account and a debit card offered by different local financial institutions.
-
-
6.PFL.111.26.b.14B
Distinguish between debit cards and credit cards.
-
-
6.PFL.111.26.b.14C
Balance a check register that includes deposits, withdrawals, and transfers.
-
-
6.PFL.111.26.b.14D
Explain why it is important to establish a positive credit history.
-
-
6.PFL.111.26.b.14E
Describe the information in a credit report and how long it is retained.
-
-
6.PFL.111.26.b.14F
Describe the value of credit reports to borrowers and to lenders.
-
-
6.PFL.111.26.b.14G
Explain various methods to pay for college, including through savings, grants, scholarships, student loans, and work-study.
-
-
6.PFL.111.26.b.14H
Compare the annual salary of several occupations requiring various levels of post-secondary education or vocational training and calculate the effects of the different annual salaries on lifetime income.
-
-
6.PFL.111.26.b.14A
-
Mathematical Process Standards
-
6.MPS.111.26.b.1A
Apply mathematics to problems arising in everyday life, society, and the workplace.
-
-
6.1Add and Subtract Decimal Up to 10015
-
6.2Ratios5
-
6.3Unit Rates10
-
6.4Equivalent Ratios15
-
6.5Compare Ratios5
-
6.6Percents of Numbers5
-
6.7Divide Fractions and Mixed Numbers15
-
6.8Divide Numbers Ending in Zeroes15
-
6.9Mixed Equations with Whole Numbers15
-
6.10Mixed Equations with Decimals15
-
6.11GCF and LCM20
-
6.12Add and Subtract Integers15
-
6.13Two-Variable Equations5
-
6.14Linear Function5
-
6.15Write Variable Expressions5
-
6.16Write Variable Equations to Represent5
-
6.17Coordinate Graphs as Maps5
-
6.18Maps with Decimal Distances5
-
6.19Percents of Numbers and Money Amounts5
-
6.20Compare and Convert Customary Units with Numbers Up to 205
-
6.21Convert, Compare and Subtract Mixed Customary Units5
-
6.22Compare and Convert Metric Units5
-
6.23Convert Between Celsius and Fahrenheit5
-
6.24Working with Temperatures Above and Below Zero5
-
6.25Multiply and Divide Mixed Customary Units5
-
6.26Customary Unit Conversions Involving Fractions and Mixed10
-
6.27Convert Between Metric and Customary Units5
-
6.28Which Is the Better Coupon?5
-
6.29Unit Prices with Customary Unit Conversions and Fractions10
-
6.30Unit Prices with Customary Unit Conversions Up to 10010
-
6.31Consumer Math: Unit Prices20
-
6.32Unit Prices: Which Is the Better Buy?20
-
6.33Sale Prices15
-
6.34Sale Prices: Find the Original Price15
-
6.35Calculate Tip, Markup and Commission15
-
-
6.MPS.111.26.b.1B
Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution.
-
-
6.13Two-Variable Equations5
-
6.17Coordinate Graphs as Maps5
-
6.36Variable Inequalities10
-
6.37Reciprocals15
-
6.38Inequalities with Decimal Division15
-
6.39Inequalities with Decimal Multiplication20
-
6.40Solve One-Step Linear Inequalities5
-
6.42Mean, Median, Mode, and Range: Find the Missing Number10
-
6.43Simplify Variable Expressions10
-
6.44Exponents: Solve for the Variable15
-
6.45Solve One-Step Equations with Decimals and Fractions5
-
-
6.MPS.111.26.b.1C
Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems.
-
-
6.10Mixed Equations with Decimals15
-
6.12Add and Subtract Integers15
-
6.44Exponents: Solve for the Variable15
-
6.46Estimate Quotients When Dividing Mixed Numbers20
-
6.47Estimate Quotients20
-
6.48Estimate Sums and Differences of Decimals Up to 10015
-
6.49Estimate Products of Decimal Numbers15
-
6.50Evaluate Exponents15
-
6.51Write Multiplication Expressions Using Exponents10
-
6.52Exponents with Decimal Bases15
-
6.53Exponents with Fractional Bases15
-
6.54Divide by Fractions with Models15
-
6.55Divide by Fractions with Models15
-
6.56Understanding Integers5
-
6.57Absolute Value and Opposite Integers20
-
6.59Evaluate Expressions Involving Integers20
-
6.60Mixed Equations with Decimals15
-
6.61Mixed Fraction Equations with Mixed Numbers Up to 50015
-
6.62Mixed Fraction Equations Up to 50015
-
-
6.MPS.111.26.b.1D
Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate.
-
-
6.15Write Variable Expressions5
-
6.17Coordinate Graphs as Maps5
-
6.36Variable Inequalities10
-
6.43Simplify Variable Expressions10
-
6.51Write Multiplication Expressions Using Exponents10
-
6.57Absolute Value and Opposite Integers20
-
6.59Evaluate Expressions Involving Integers20
-
6.63Evaluate Variable Expressions with Whole Numbers5
-
6.64Evaluate Variable Expressions with Decimals and Fractions5
-
6.65Evaluate Multi-Variable Expressions15
-
6.66Write Variable Expressions5
-
6.67Evaluate Expressions with Decimals15
-
6.68Convert Scientific Notation15
-
6.69Factors of Multiplication5
-
6.70Greatest Common Factors (GCF)15
-
6.71Identify Factors20
-
6.72Understanding Decimals Expressed in Words10
-
6.74Compare Rational Numbers20
-
6.75Ratio Tables5
-
6.76Describe Pictures as Ratios5
-
6.77What Percentage Is Illustrated?10
-
6.78Identify Terms, Coefficients, and Monomials5
-
6.79Add and Subtract Like Terms10
-
6.80Solve Mixed Equations5
-
6.81Graph Linear Functions15
-
6.82Nets of 3-Dimensional Figures5
-
6.83Area of Complex Figures10
-
6.84Compare Area and Perimeter of Two Figures15
-
6.85Area of Right Triangles10
-
6.86Volume of Cubes and Rectangular Prisms5
-
6.87Classify Quadrilateral Shapes5
-
6.88Types of Triangles5
-
6.89Identify Angles by Type5
-
6.90Circles5
-
-
6.MPS.111.26.b.1E
Create and use representations to organize, record, and communicate mathematical ideas.
-
-
6.17Coordinate Graphs as Maps5
-
6.18Maps with Decimal Distances5
-
6.77What Percentage Is Illustrated?10
-
6.91Function Tables15
-
6.92Interpret Pictographs20
-
6.93Create Pictographs5
-
6.94Interpret Line Plots with Up to 5 Data Points5
-
6.95Create Line Plots5
-
6.96Create Line Plots II5
-
6.97Create Frequency Tables5
-
6.98Interpret Bar Graphs5
-
6.99Create Bar Graphs5
-
6.100Interpret Double Bar Graphs5
-
6.101Create Double Bar Graphs Using Tables5
-
6.102Create Histograms5
-
6.103Circle Graphs with Fractions5
-
6.104Interpret Circle Graphs5
-
6.105Interpret Line Graphs5
-
6.106Create Line Graphs5
-
6.107Interpret Double Line Graphs5
-
6.108Create Double Line Graphs Using Tables5
-
6.109Stem-And-Leaf Plots5
-
6.110Interpret Box-And-Whisker Plots5
-
6.111Interpret Charts to Find Mean, Median, Mode, and Range5
-
-
6.MPS.111.26.b.1F
Analyze mathematical relationships to connect and communicate mathematical ideas.
-
-
6.4Equivalent Ratios15
-
6.5Compare Ratios5
-
6.15Write Variable Expressions5
-
6.43Simplify Variable Expressions10
-
6.51Write Multiplication Expressions Using Exponents10
-
6.57Absolute Value and Opposite Integers20
-
6.63Evaluate Variable Expressions with Whole Numbers5
-
6.64Evaluate Variable Expressions with Decimals and Fractions5
-
6.65Evaluate Multi-Variable Expressions15
-
6.66Write Variable Expressions5
-
6.67Evaluate Expressions with Decimals15
-
6.69Factors of Multiplication5
-
6.70Greatest Common Factors (GCF)15
-
6.71Identify Factors20
-
6.84Compare Area and Perimeter of Two Figures15
-
6.112Absolute Value of Rational Numbers15
-
6.113Equivalent Ratios5
-
6.114Relative Coordinates15
-
-
6.MPS.111.26.b.1G
Display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.
-
-
6.12Add and Subtract Integers15
-
6.56Understanding Integers5
-
6.57Absolute Value and Opposite Integers20
-
6.115Divisibility Rules20
-
6.116Properties of Addition5
-
6.117Distributive Property5
-
6.118Choose the Best Graph Type5
-
-
6.MPS.111.26.b.1A
-
Number and Operations
-
6.NO.111.26.b.2A
Classify whole numbers, integers, and rational numbers using a visual representation such as a Venn diagram to describe relationships between sets of numbers.
-
-
6.74Compare Rational Numbers20
-
6.119Use Venn Diagrams to Solve Problems5
-
6.120Classify Numbers5
-
-
6.NO.111.26.b.2B
Identify a number, its opposite, and its absolute value.
-
-
6.57Absolute Value and Opposite Integers20
-
6.112Absolute Value of Rational Numbers15
-
-
6.NO.111.26.b.2C
Locate, compare, and order integers and rational numbers using a number line.
-
-
6.NO.111.26.b.2D
Order a set of rational numbers arising from mathematical and real-world contexts.
-
-
6.6Percents of Numbers5
-
6.19Percents of Numbers and Money Amounts5
-
6.38Inequalities with Decimal Division15
-
6.39Inequalities with Decimal Multiplication20
-
6.74Compare Rational Numbers20
-
6.121Inequalities with Scientific Notation15
-
6.122Place Values and Number Sense: Scientific Notation15
-
6.123Put Rational Numbers in Order15
-
-
6.NO.111.26.b.2E
Extend representations for division to include fraction notation such as a/b represents the same number as a � b where b ? 0.
-
-
6.3Unit Rates10
-
6.7Divide Fractions and Mixed Numbers15
-
6.124Unit Rates and Equivalent Rates10
-
6.125Divide Fractions Up to 1/5, 1/7, 1/915
-
6.126Divide Fractions with Mixed Numbers Up to 2015
-
-
6.NO.111.26.b.3A
Recognize that dividing by a rational number and multiplying by its reciprocal result in equivalent values.
-
-
6.37Reciprocals15
-
6.54Divide by Fractions with Models15
-
-
6.NO.111.26.b.3B
Determine, with and without computation, whether a quantity is increased or decreased when multiplied by a fraction, including values greater than or less than one.
-
6.NO.111.26.b.3C
Represent integer operations with concrete models and connect the actions with the models to standardized algorithms.
-
-
6.9Mixed Equations with Whole Numbers15
-
6.12Add and Subtract Integers15
-
6.63Evaluate Variable Expressions with Whole Numbers5
-
6.127Divide Decimals by Whole Numbers15
-
6.128Divide Decimals by Whole Numbers15
-
6.129Mixed Equations with Whole Numbers15
-
-
6.NO.111.26.b.3D
Add, subtract, multiply, and divide integers fluently.
-
-
6.9Mixed Equations with Whole Numbers15
-
6.12Add and Subtract Integers15
-
6.59Evaluate Expressions Involving Integers20
-
6.63Evaluate Variable Expressions with Whole Numbers5
-
6.127Divide Decimals by Whole Numbers15
-
6.128Divide Decimals by Whole Numbers15
-
6.129Mixed Equations with Whole Numbers15
-
6.130Multiply and Divide Integers15
-
6.131Complete Multiplication and Division Sentences with Integers15
-
-
6.NO.111.26.b.3E
Multiply and divide positive rational numbers fluently.
-
-
6.1Add and Subtract Decimal Up to 10015
-
6.7Divide Fractions and Mixed Numbers15
-
6.10Mixed Equations with Decimals15
-
6.45Solve One-Step Equations with Decimals and Fractions5
-
6.52Exponents with Decimal Bases15
-
6.53Exponents with Fractional Bases15
-
6.54Divide by Fractions with Models15
-
6.60Mixed Equations with Decimals15
-
6.61Mixed Fraction Equations with Mixed Numbers Up to 50015
-
6.62Mixed Fraction Equations Up to 50015
-
6.64Evaluate Variable Expressions with Decimals and Fractions5
-
6.125Divide Fractions Up to 1/5, 1/7, 1/915
-
6.126Divide Fractions with Mixed Numbers Up to 2015
-
6.127Divide Decimals by Whole Numbers15
-
6.128Divide Decimals by Whole Numbers15
-
6.132Multiply Decimals with Numbers Up to 10015
-
6.133Division with Decimal Quotients15
-
6.134Add and Subtract Decimal Numbers Up to 3 Places20
-
6.135Multiply and Divide Decimals by Powers of Ten15
-
6.136Add Fractions with Unlike Denominators5
-
6.137Subtract Fractions with Unlike Denominators5
-
-
6.NO.111.26.b.2A
-
Proportionality
-
6.RP.111.26.b.4A
Compare two rules verbally, numerically, graphically, and symbolically in the form of y = ax or y = x + a in order to differentiate between additive and multiplicative relationships.
-
6.RP.111.26.b.4B
Apply qualitative and quantitative reasoning to solve prediction and comparison of real-world problems involving ratios and rates.
-
-
6.2Ratios5
-
6.3Unit Rates10
-
6.4Equivalent Ratios15
-
6.5Compare Ratios5
-
6.6Percents of Numbers5
-
6.19Percents of Numbers and Money Amounts5
-
6.29Unit Prices with Customary Unit Conversions and Fractions10
-
6.30Unit Prices with Customary Unit Conversions Up to 10010
-
6.75Ratio Tables5
-
6.76Describe Pictures as Ratios5
-
6.77What Percentage Is Illustrated?10
-
6.113Equivalent Ratios5
-
6.124Unit Rates and Equivalent Rates10
-
-
6.RP.111.26.b.4C
Give examples of ratios as multiplicative comparisons of two quantities describing the same attribute.
-
-
6.4Equivalent Ratios15
-
6.75Ratio Tables5
-
6.76Describe Pictures as Ratios5
-
-
6.RP.111.26.b.4D
Give examples of rates as the comparison by division of two quantities having different attributes, including rates as quotients.
-
6.RP.111.26.b.4E
Represent ratios and percents with concrete models, fractions, and decimals.
-
6.RP.111.26.b.4F
Represent benchmark fractions and percents such as 1%, 10%, 25%, 33 1/3%, and multiples of these values using 10 by 10 grids, strip diagrams, number lines, and numbers.
-
-
6.RP.111.26.b.4G
Generate equivalent forms of fractions, decimals, and percents using real-world problems, including problems that involve money.
-
-
6.4Equivalent Ratios15
-
6.29Unit Prices with Customary Unit Conversions and Fractions10
-
6.30Unit Prices with Customary Unit Conversions Up to 10010
-
6.31Consumer Math: Unit Prices20
-
6.32Unit Prices: Which Is the Better Buy?20
-
6.113Equivalent Ratios5
-
-
6.RP.111.26.b.4H
Convert units within a measurement system, including the use of proportions and unit rates.
-
6.RP.111.26.b.5A
Represent mathematical and real-world problems involving ratios and rates using scale factors, tables, graphs, and proportions.
-
-
6.3Unit Rates10
-
6.4Equivalent Ratios15
-
6.5Compare Ratios5
-
6.6Percents of Numbers5
-
6.19Percents of Numbers and Money Amounts5
-
6.30Unit Prices with Customary Unit Conversions Up to 10010
-
6.76Describe Pictures as Ratios5
-
6.113Equivalent Ratios5
-
-
6.RP.111.26.b.5B
Solve real-world problems to find the whole given a part and the percent, to find the part given the whole and the percent, and to find the percent given the part and the whole, including the use of concrete and pictorial models.
-
-
6.6Percents of Numbers5
-
6.19Percents of Numbers and Money Amounts5
-
6.77What Percentage Is Illustrated?10
-
-
6.RP.111.26.b.5C
Use equivalent fractions, decimals, and percents to show equal parts of the same whole.
-
-
6.4Equivalent Ratios15
-
6.5Compare Ratios5
-
6.124Unit Rates and Equivalent Rates10
-
-
6.RP.111.26.b.4A