
6Grade 6 Standards
Top Mathematicians

Expressions, Equations, and Relationships

6.EE.111.26.b.10A
Model and solve onevariable, onestep equations and inequalities that represent problems, including geometric concepts.

6.EE.111.26.b.10B
Determine if the given value(s) make(s) onevariable, onestep equations or inequalities true.


6.135

6.3610

6.405


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.


6.155

6.405

6.4310

6.635

6.645

6.6515

6.665

6.8115

6.13915


6.EE.111.26.b.7A
Generate equivalent numerical expressions using order of operations, including whole number exponents and prime factorization.


6.4415

6.5110

6.5215

6.5315

6.695

6.7015

6.7120


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.


6.3610

6.3815

6.405

6.12115

6.1405


6.EE.111.26.b.7D
Generate equivalent expressions using the properties of operations: inverse, identity, commutative, associative, and distributive properties.


6.7910

6.805

6.1165

6.1175

6.14115

6.14215

6.14310

6.1445


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.


6.8510

6.885


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.


6.8310

6.8415

6.8510

6.865


6.EE.111.26.b.9A
Write onevariable, onestep equations and inequalities to represent constraints or conditions within problems.


6.155

6.165

6.665

6.14710


6.EE.111.26.b.9B
Represent solutions for onevariable, onestep equations and inequalities on number lines.


6.EE.111.26.b.9C
Write corresponding realworld problems given onevariable, onestep 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, stemandleaf plots, histograms, and box plots.


6.935

6.955

6.965

6.975

6.995

6.1015

6.1025

6.1065

6.1085

6.1095

6.1105


6.MD.111.26.b.12B
Use the graphical representation of numeric data to describe the center, spread, and shape of the data distribution.


6.1105

6.1115

6.1495

6.1505

6.1515

6.1525


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.


6.4210

6.15310

6.15410

6.15510

6.15610

6.15710


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.


6.975

6.1035

6.1045


6.MD.111.26.b.13A
Interpret numeric data summarized in dot plots, stemandleaf plots, histograms, and box plots.


6.9220

6.945

6.985

6.1005

6.1025

6.1045

6.1055

6.1075

6.1095

6.1105


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 workstudy.


6.PFL.111.26.b.14H
Compare the annual salary of several occupations requiring various levels of postsecondary 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.


6.115

6.25

6.310

6.415

6.55

6.65

6.715

6.815

6.915

6.1015

6.1120

6.1215

6.135

6.145

6.155

6.165

6.175

6.185

6.195

6.205

6.215

6.225

6.235

6.245

6.255

6.2610

6.275

6.285

6.2910

6.3010

6.3120

6.3220

6.3315

6.3415

6.3515


6.MPS.111.26.b.1B
Use a problemsolving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problemsolving process and the reasonableness of the solution.


6.135

6.175

6.3610

6.3715

6.3815

6.3920

6.405

6.4210

6.4310

6.4415

6.455


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.


6.1015

6.1215

6.4415

6.4620

6.4720

6.4815

6.4915

6.5015

6.5110

6.5215

6.5315

6.5415

6.5515

6.565

6.5720

6.5920

6.6015

6.6115

6.6215


6.MPS.111.26.b.1D
Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate.


6.155

6.175

6.3610

6.4310

6.5110

6.5720

6.5920

6.635

6.645

6.6515

6.665

6.6715

6.6815

6.695

6.7015

6.7120

6.7210

6.7420

6.755

6.765

6.7710

6.785

6.7910

6.805

6.8115

6.825

6.8310

6.8415

6.8510

6.865

6.875

6.885

6.895

6.905


6.MPS.111.26.b.1E
Create and use representations to organize, record, and communicate mathematical ideas.


6.175

6.185

6.7710

6.9115

6.9220

6.935

6.945

6.955

6.965

6.975

6.985

6.995

6.1005

6.1015

6.1025

6.1035

6.1045

6.1055

6.1065

6.1075

6.1085

6.1095

6.1105

6.1115


6.MPS.111.26.b.1F
Analyze mathematical relationships to connect and communicate mathematical ideas.


6.415

6.55

6.155

6.4310

6.5110

6.5720

6.635

6.645

6.6515

6.665

6.6715

6.695

6.7015

6.7120

6.8415

6.11215

6.1135

6.11415


6.MPS.111.26.b.1G
Display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.


6.1215

6.565

6.5720

6.11520

6.1165

6.1175

6.1185


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.


6.7420

6.1195

6.1205


6.NO.111.26.b.2B
Identify a number, its opposite, and its absolute value.


6.5720

6.11215


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 realworld contexts.


6.65

6.195

6.3815

6.3920

6.7420

6.12115

6.12215

6.12315


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.


6.310

6.715

6.12410

6.12515

6.12615


6.NO.111.26.b.3A
Recognize that dividing by a rational number and multiplying by its reciprocal result in equivalent values.


6.3715

6.5415


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.


6.915

6.1215

6.635

6.12715

6.12815

6.12915


6.NO.111.26.b.3D
Add, subtract, multiply, and divide integers fluently.


6.915

6.1215

6.5920

6.635

6.12715

6.12815

6.12915

6.13015

6.13115


6.NO.111.26.b.3E
Multiply and divide positive rational numbers fluently.


6.115

6.715

6.1015

6.455

6.5215

6.5315

6.5415

6.6015

6.6115

6.6215

6.645

6.12515

6.12615

6.12715

6.12815

6.13215

6.13315

6.13420

6.13515

6.1365

6.1375


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 realworld problems involving ratios and rates.


6.25

6.310

6.415

6.55

6.65

6.195

6.2910

6.3010

6.755

6.765

6.7710

6.1135

6.12410


6.RP.111.26.b.4C
Give examples of ratios as multiplicative comparisons of two quantities describing the same attribute.


6.415

6.755

6.765


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 realworld problems, including problems that involve money.


6.415

6.2910

6.3010

6.3120

6.3220

6.1135


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 realworld problems involving ratios and rates using scale factors, tables, graphs, and proportions.


6.310

6.415

6.55

6.65

6.195

6.3010

6.765

6.1135


6.RP.111.26.b.5B
Solve realworld 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.


6.65

6.195

6.7710


6.RP.111.26.b.5C
Use equivalent fractions, decimals, and percents to show equal parts of the same whole.


6.415

6.55

6.12410


6.RP.111.26.b.4A