6th Grade Math (Missouri Learning Standards)

Ratios and Proportional Relationships (RP), cluster A

• 6.RP.A.1 Understand a ratio as comparing two quantities and represent such comparisons.
• 6.RP.A.2 Understand and explain the unit rate that goes with a ratio.
• Solve ratio and rate problems.
• 6.RP.A.3a Make tables of equivalent ratios, fill in missing values, and plot the pairs on a coordinate plane.
• 6.RP.A.3b Solve unit rate problems.
• 6.RP.A.3c Solve percent problems.
• 6.RP.A.3d Convert units within and between two measurement systems.

Number Sense and Operations (NS), cluster A

• Find and interpret quotients of positive fractions.
• 6.NS.A.1a Solve problems dividing fractions by fractions.

Number Sense and Operations (NS), cluster B

• 6.NS.B.2 Divide multi-digit whole numbers fluently.
• 6.NS.B.3 Add, subtract, multiply, and divide decimals fluently.
• Find common factors and multiples.
• 6.NS.B.4a Find the greatest common factor and least common multiple.
• 6.NS.B.4b Use the distributive property to rewrite a sum with a common factor.

Number Sense and Operations (NS), cluster C

• 6.NS.C.5 Use positive and negative numbers to stand for quantities.
• Place a rational number on a number line.
• 6.NS.C.6a Place rational numbers on horizontal or vertical number lines.
• 6.NS.C.6b Write, interpret, and explain problems about ordering rational numbers.
• 6.NS.C.6c Know a number and its opposite sit on opposite sides of zero.
• 6.NS.C.7 Understand absolute value as distance from 0 on a number line.
• 6.NS.C.8 Move between equivalent fractions, decimals, and percents (terminating decimals and thirds).

Expressions, Equations and Inequalities (EEI), cluster A

• 6.EEI.A.1 Explain how an expression differs from an equation.
• Write and evaluate expressions with variables and whole-number exponents.
• 6.EEI.A.2a Name the parts of an expression with math terms.
• 6.EEI.A.2b Evaluate expressions for given values of the variables.
• 6.EEI.A.2c Evaluate expressions with non-negative rational numbers.
• 6.EEI.A.2d Write and evaluate algebraic expressions.
• 6.EEI.A.2e Understand what the variable stands for in a situation.
• 6.EEI.A.3 Identify and write equivalent algebraic expressions using properties.

Expressions, Equations and Inequalities (EEI), cluster B

• 6.EEI.B.4 Use substitution to test whether a number makes an equation or inequality true.
• 6.EEI.B.5 Understand that a solution set holds the values that make an equation or inequality true.
• 6.EEI.B.6 Write and solve equations with variables for quantities and explain the variable in context.
• 6.EEI.B.7 Solve one-step linear equations with non-negative rational numbers.
• Recognize that inequalities can have infinitely many solutions.
• 6.EEI.B.8a Write inequalities such as x > c or x ≤ c to show a condition.
• 6.EEI.B.8b Graph the solutions of an inequality.

Expressions, Equations and Inequalities (EEI), cluster C

• Identify and describe how two changing variables relate.
• 6.EEI.C.9a Write an equation giving the dependent variable in terms of the independent variable.
• 6.EEI.C.9b Analyze dependent and independent variables with graphs, tables, and equations and link them.

Geometry and Measurement (GM), cluster A

• 6.GM.A.1 Find areas of polygons by splitting or combining them into rectangles or triangles.
• Find the volume of right rectangular prisms.
• 6.GM.A.2a Know volume can be found by filling a prism with layers of its base.
• 6.GM.A.2b Use V = l × w × h and V = Bh for right rectangular prisms.
• Solve problems by plotting points in any of the four quadrants.
• 6.GM.A.3a Use the signs in ordered pairs to tell which quadrant a point is in.
• 6.GM.A.3b See that points differing only in sign are reflections across one or both axes.
• 6.GM.A.3c Find distances between points that share a coordinate.
• 6.GM.A.3d Draw polygons on the coordinate plane.
• Solve problems with nets.
• 6.GM.A.4a Show solid figures as nets of rectangles and triangles.
• 6.GM.A.4b Find the surface area of solids with rectangular and triangular faces using nets.

Data Analysis, Statistics and Probability (DSP), cluster A

• 6.DSP.A.1 Recognize statistical questions as ones that expect varied answers.
• 6.DSP.A.2 Know a data set has a distribution described by its center, spread, and shape.
• 6.DSP.A.3 Know a measure of center sums up data in one number and a measure of variation shows spread.

Data Analysis, Statistics and Probability (DSP), cluster B

• Show and interpret data.
• 6.DSP.B.4a Use dot plots, histograms, and box plots for numerical data.
• 6.DSP.B.4b Make and interpret circle graphs.
• Summarize numerical data in context.
• 6.DSP.B.5a State how many observations there are.
• 6.DSP.B.5b Describe what was measured, how, and in what units.
• 6.DSP.B.5c Give center (median or mean) and spread (IQR or mean absolute deviation) and note patterns and outliers in context.
• 6.DSP.B.5d Explain the choice of center and spread measures from the shape of the data or context.