Math · Grade 6 · Middle School
Math, Grade 6
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Mathematical process standardsThe student uses mathematical processes to acquire and demonstrate mathematical…
- Math in Real-Life SituationsApply mathematics to problems arising in everyday life, society, and the workplace6.1(A)
- A Five-Step Plan for ProblemsUse a problem-solving model that incorporates analyzing given information, formulating a plan or…6.1(B)
- Choosing the Right Math ToolSelect tools, including real objects, manipulatives, paper and pencil, and technology as…6.1(C)
- Showing Your Math Many WaysCommunicate mathematical ideas, reasoning, and their implications using multiple representations…6.1(D)
- Showing Math Ideas Your WayCreate and use representations to organize, record, and communicate mathematical ideas6.1(E)
- Connecting Math Ideas TogetherAnalyze mathematical relationships to connect and communicate mathematical ideas6.1(F)
- Show, Explain, and Justify Your MathDisplay, explain, and justify mathematical ideas and arguments using precise mathematical language…6.1(G)
Number and operationsThe student applies mathematical process standards to represent and use rational numbers…
- Sorting Numbers Into Number FamiliesClassify whole numbers, integers, and rational numbers using a visual representation such as a Venn…6.2(A)
- Numbers, Opposites, and Absolute ValueIdentify a number, its opposite, and its absolute value6.2(B)
- Placing Numbers on a Number LineLocate, compare, and order integers and rational numbers using a number line6.2(C)
- Putting Rational Numbers In OrderOrder a set of rational numbers arising from mathematical and real-world contexts6.2(D)
- Fractions Are Division ProblemsExtend representations for division to include fraction notation such as a/b represents the same…6.2(E)
Number and operationsThe student applies mathematical process standards to represent addition, subtraction…
- Dividing Means Multiplying by the ReciprocalRecognize that dividing by a rational number and multiplying by its reciprocal result in equivalent…6.3(A)
- Does Multiplying Make It Bigger?Determine, with and without computation, whether a quantity is increased or decreased when…6.3(B)
- Modeling Integer Operations With CountersRepresent integer operations with concrete models and connect the actions with the models to…6.3(C)
- Working With Integers in FootballAdd, subtract, multiply, and divide integers fluently6.3(D)
- Multiplying and Dividing Rational NumbersMultiply and divide positive rational numbers fluently6.3(E)
ProportionalityThe student applies mathematical process standards to develop an understanding of…
- Comparing Two Rules at the FairCompare two rules verbally, numerically, graphically, and symbolically in the form of y = ax ory =…6.4(A)
- Using Ratios to Predict and CompareApply qualitative and quantitative reasoning to solve prediction and comparison of real-world…6.4(B)
- Ratios That Compare the Same ThingGive examples of ratios as multiplicative comparisons of two quantities describing the same…6.4(C)
- Comparing Two Different ThingsGive examples of rates as the comparison by division of two quantities having different attributes…6.4(D)
- Showing Ratios and Percents TogetherRepresent ratios and percents with concrete models, fractions, and decimals6.4(E)
- Seeing Benchmark Percents Four WaysRepresent benchmark fractions and percents such as 1%, 10%, 25%, 33 1/3%, and multiples of these…6.4(F)
- Fractions, Decimals, and PercentsGenerate equivalent forms of fractions, decimals, and percents using real-world problems, including…6.4(G)
- Converting Units With ProportionsConvert units within a measurement system, including the use of proportions and unit rates6.4(H)
ProportionalityThe student applies mathematical process standards to solve problems involving…
- Ratios, Tables, Graphs, and ProportionsRepresent mathematical and real-world problems involving ratios and rates using scale factors…6.5(A)
- Finding Part, Whole, and PercentSolve real-world problems to find the whole given a part and the percent, to find the part given…6.5(B)
- Three Ways to Show One PartUse equivalent fractions, decimals, and percents to show equal parts of the same whole6.5(C)
Expressions, equations, and relationshipsThe student applies mathematical process standards to use multiple representations to…
- Which Quantity Depends on Which?Identify independent and dependent quantities from tables and graphs6.6(A)
- Writing Equations From TablesWrite an equation that represents the relationship between independent and dependent quantities…6.6(B)
- Four Ways to Show One RuleRepresent a given situation using verbal descriptions, tables, graphs, and equations in the form y…6.6(C)
Expressions, equations, and relationshipsThe student applies mathematical process standards to develop concepts of expressions and…
- Order of Operations and ExponentsGenerate equivalent numerical expressions using order of operations, including whole number…6.7(A)
- Telling Expressions From EquationsDistinguish between expressions and equations verbally, numerically, and algebraically6.7(B)
- Are These Expressions the Same?Determine if two expressions are equivalent using concrete models, pictorial models, and algebraic…6.7(C)
- Building Equal Expressions with PropertiesGenerate equivalent expressions using the properties of operations: inverse, identity, commutative…6.7(D)
Expressions, equations, and relationshipsThe student applies mathematical process standards to use geometry to represent…
- Triangle Angles and Side LengthsExtend previous knowledge of triangles and their properties to include the sum of angles of a…6.8(A)
- Cutting Shapes to Find AreaModel area formulas for parallelograms, trapezoids, and triangles by decomposing and rearranging…6.8(B)
- Writing Equations for Area and VolumeWrite equations that represent problems related to the area of rectangles, parallelograms…6.8(C)
- Area and Volume With FractionsDetermine solutions for problems involving the area of rectangles, parallelograms, trapezoids, and…6.8(D)
Expressions, equations, and relationshipsThe student applies mathematical process standards to use equations and inequalities to…
- Writing Equations and InequalitiesWrite one-variable, one-step equations and inequalities to represent constraints or conditions…6.9(A)
- Graphing Equations and InequalitiesRepresent solutions for one-variable, one-step equations and inequalities on number lines6.9(B)
- Turning Equations Into StoriesWrite corresponding real-world problems given one-variable, one-step equations or inequalities6.9(C)
Expressions, equations, and relationshipsThe student applies mathematical process standards to use equations and inequalities to…
Measurement and dataThe student applies mathematical process standards to use coordinate geometry to identify…
Measurement and dataThe student applies mathematical process standards to use numerical or graphical…
- Four Ways to Picture DataRepresent numeric data graphically, including dot plots, stem-and-leaf plots, histograms, and box…6.12(A)
- Reading Shape, Center, and SpreadUse the graphical representation of numeric data to describe the center, spread, and shape of the…6.12(B)
- Describing Data With NumbersSummarize numeric data with numerical summaries, including the mean and median (measures of center)…6.12(C)
- Describing Data With PercentsSummarize categorical data with numerical and graphical summaries, including the mode, the percent…6.12(D)
Measurement and dataThe student applies mathematical process standards to use numerical or graphical…
Personal financial literacyThe student applies mathematical process standards to develop an economic way of thinking…
- Comparing Checking Accounts and Debit CardsCompare the features and costs of a checking account and a debit card offered by different local…6.14(A)
- Debit Cards Versus Credit CardsDistinguish between debit cards and credit cards6.14(B)
- Balancing a Check RegisterBalance a check register that includes deposits, withdrawals, and transfers6.14(C)
- Why Good Credit MattersExplain why it is important to establish a positive credit history6.14(D)
- What a Credit Report ShowsDescribe the information in a credit report and how long it is retained6.14(E)
- Why Credit Reports MatterDescribe the value of credit reports to borrowers and to lenders6.14(F)
- Ways to Pay for CollegeExplain various methods to pay for college, including through savings, grants, scholarships…6.14(G)
- Comparing Salaries and Lifetime IncomeCompare the annual salary of several occupations requiring various levels of post-secondary…6.14(H)