Grade 6
Ratios and Proportional Relationships
- A.
Understand and use ratios to solve problems.6.RP.A
- 1.
Understand a ratio as a comparison of two quantities and represent these comparisons.6.RP.A.1
- 2.
Understand the concept of a unit rate associated with a ratio, and describe the meaning of unit rate.6.RP.A.2
- 3.
Solve problems involving ratios and rates.6.RP.A.3
- a.
Create tables of equivalent ratios, find missing values in the tables and plot the pairs of values on the Cartesian coordinate plane.6.RP.A.3.a
- b.
Solve unit rate problems.6.RP.A.3.b
- c.
Solve percent problems.6.RP.A.3.c
- d.
Convert measurement units within and between two systems of measurement.6.RP.A.3.d
- a.
- 1.
Number Sense and Operations
- A.
Apply and extend previous understandings of multiplication and division to divide fractions by fractions.6.NS.A
- 1.
Compute and interpret quotients of positive fractions.6.NS.A.1
- a.
Solve problems involving division of fractions by fractions.6.NS.A.1.a
- a.
- 1.
- B.
Compute with non-negative multi-digit numbers, and find common factors and multiples.6.NS.B
- 2.
Demonstrate fluency with division of multi-digit whole numbers.6.NS.B.2
- 3.
Demonstrate fluency with addition, subtraction, multiplication and division of decimals.6.NS.B.3
- 4.
Find common factors and multiples.6.NS.B.4
- a.
Find the greatest common factor (GCF) and the least common multiple (LCM).6.NS.B.4.a
- b.
Use the distributive property to express a sum of two whole numbers with a common factor as a multiple of a sum of two whole numbers.6.NS.B.4.b
- a.
- 2.
- C.
Apply and extend previous understandings of numbers to the system of rational numbers.6.NS.C
- 5.
Use positive and negative numbers to represent quantities.6.NS.C.5
- 6.
Locate a rational number as a point on the number line.6.NS.C.6
- a.
Locate rational numbers on a horizontal or vertical number line.6.NS.C.6.a
- b.
Write, interpret and explain problems of ordering of rational numbers.6.NS.C.6.b
- c.
Understand that a number and its opposite (additive inverse) are located on opposite sides of zero on the number line.6.NS.C.6.c
- a.
- 7.
Understand that the absolute value of a rational number is its distance from 0 on the number line.6.NS.C.7
- 8.
Extend prior knowledge to generate equivalent representations of rational numbers between fractions, decimals and percentages (limited to terminating decimals and/or benchmark fractions of 1/3 and 2/3).6.NS.C.8
- 5.
Expressions, Equations and Inequalities
- A.
Apply and extend previous understandings of arithmetic to algebraic expressions.6.EEI.A
- 1.
Describe the difference between an expression and an equation.6.EEI.A.1
- 2.
Create and evaluate expressions involving variables and whole number exponents.6.EEI.A.2
- a.
Identify parts of an expression using mathematical terminology.6.EEI.A.2.a
- b.
Evaluate expressions at specific values of the variables.6.EEI.A.2.b
- c.
Evaluate non-negative rational number expressions.6.EEI.A.2.c
- d.
Write and evaluate algebraic expressions.6.EEI.A.2.d
- e.
Understand the meaning of the variable in the context of the situation.6.EEI.A.2.e
- a.
- 3.
Identify and generate equivalent algebraic expressions using mathematical properties.6.EEI.A.3
- 1.
- B.
Reason about and solve one-variable equations and inequalities.6.EEI.B
- 4.
Use substitution to determine whether a given number in a specified set makes a one-variable equation or inequality true.6.EEI.B.4
- 5.
Understand that if any solutions exist, the solution set for an equation or inequality consists of values that make the equation or inequality true.6.EEI.B.5
- 6.
Write and solve equations using variables to represent quantities, and understand the meaning of the variable in the context of the situation.6.EEI.B.6
- 7.
Solve one-step linear equations in one variable involving nonnegative rational numbers.6.EEI.B.7
- 8.
Recognize that inequalities may have infinitely many solutions.6.EEI.B.8
- a.
Write an inequality of the form x > c, x ≥ c, or x ≤ c to represent a constraint or condition.6.EEI.B.8.a
- b.
Graph the solution set of an inequality.6.EEI.B.8.b
- a.
- 4.
- C.
Represent and analyze quantitative relationships between dependent and independent variables.6.EEI.C
- 9.
Identify and describe relationships between two variables that change in relationship to one another.6.EEI.C.9
- a.
Write an equation to express one quantity, the dependent variable, in terms of the other quantity, the independent variable.6.EEI.C.9.a
- b.
Analyze the relationship between the dependent and independent variables using graphs, tables and equations and relate these representations to each other.6.EEI.C.9.b
- a.
- 9.
Geometry and Measurement
- A.
Solve problems involving area, surface area and volume.6.GM.A
- 1.
Find the area of polygons by composing or decomposing the shapes into rectangles or triangles.6.GM.A.1
- 2.
Find the volume of right rectangular prisms.6.GM.A.2
- a.
Understand that the volume of a right rectangular prism can be found by filling the prism with multiple layers of the base.6.GM.A.2.a
- b.
Apply V = l * w * h and V = Bh to find the volume of right rectangular prisms.6.GM.A.2.b
- a.
- 3.
Solve problems by graphing points in all four quadrants of the Cartesian coordinate plane.6.GM.A.3
- a.
Understand signs of numbers in ordered pairs as indicating locations in quadrants of the Cartesian coordinate plane.6.GM.A.3.a
- b.
Recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.6.GM.A.3.b
- c.
Find distances between points with the same first coordinate or the same second coordinate.6.GM.A.3.c
- d.
Construct polygons in the Cartesian coordinate plane.6.GM.A.3.d
- a.
- 4.
Solve problems using nets.6.GM.A.4
- a.
Represent three-dimensional figures using nets made up of rectangles and triangles.6.GM.A.4.a
- b.
Use nets to find the surface area of three-dimensional figures whose sides are made up of rectangles and triangles.6.GM.A.4.b
- a.
- 1.
Data Analysis, Statistics and Probability
- A.
Develop understanding of statistical variability.6.DSP.A
- 1.
Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.6.DSP.A.1
- 2.
Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread and overall shape.6.DSP.A.2
- 3.
Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary from a single number.6.DSP.A.3
- 1.
- B.
Summarize and describe distributions.6.DSP.B
- 4.
Display and interpret data.6.DSP.B.4
- a.
Use dot plots, histograms and box plots to display and interpret numerical data.6.DSP.B.4.a
- b.
Create and interpret circle graphs.6.DSP.B.4.b
- a.
- 5.
Summarize numerical data sets in relation to the context.6.DSP.B.5
- a.
Report the number of observations.6.DSP.B.5.a
- b.
Describe the nature of the attribute under investigation, including how it was measured and its units of measurement.6.DSP.B.5.b
- c.
Give quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context of the data.6.DSP.B.5.c
- d.
Analyze the choice of measures of center and variability based on the shape of the data distribution and/or the context of the data.6.DSP.B.5.d
- a.
- 4.
Frequently asked questions
- What grade levels do these standards cover?
- Grade 6
- When were these standards adopted?
- 2016
- Where can I read the official document?
- Missouri Learning Standards: Mathematics (6-12)
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