# Alabama Learning Standards for Mathematics — Grade 6

Click on any standard to search for aligned resources. This data may be subject to copyright. You may download a CSV of the Alabama Learning Standards for Mathematics if your intention constitutes fair use.

Plan, assess, and analyze learning aligned to these standards using Kiddom.

#### 6-EE1

Write and evaluate numerical expressions involving whole-number exponents.

#### 6-EE2

Write, read, and evaluate expressions in which letters stand for numbers.

#### 6-EE2a

Write expressions that record operations with numbers and with letters standing for numbers.

#### 6-EE2b

Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity.

#### 6-EE2c

Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

#### 6-EE3

Apply the properties of operations to generate equivalent expressions.

#### 6-EE4

Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them).

#### 6-EE5

Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true' Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

#### 6-EE6

Use variables to represent numbers, and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number or, depending on the purpose at hand, any number in a specified set.

#### 6-EE7

Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q, and x are all nonnegative rational numbers.

#### 6-EE8

Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.

#### 6-EE9

Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.

#### 6-G1

Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

#### 6-G2

Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = lwh and V = Bh to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

#### 6-G3

Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.

#### 6-G4

Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

#### 6-NS1

Interpret and compute quotients of fractions, and solve word problems involving division of fractions, e.g., by using visual fraction models and equations to represent the problem.

#### 6-NS2

Fluently divide multi-digit numbers using the standard algorithm.

#### 6-NS3

Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

#### 6-NS4

Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor.

#### 6-NS5

Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts explaining the meaning of 0 in each situation.

#### 6-NS6

Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.

#### 6-NS6a

Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., - (-3) = 3, and that 0 is its own opposite.

#### 6-NS6b

Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; 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-NS6c

Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.

#### 6-NS7

Understand ordering and absolute value of rational numbers.

#### 6-NS7a

Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram.

#### 6-NS7b

Write, interpret, and explain statements of order for rational numbers in real-world contexts.

#### 6-NS7c

Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation.

#### 6-NS7d

Distinguish comparisons of absolute value from statements about order.

#### 6-NS8

Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

#### 6-RP1

Understand the concept of a ratio, and use ratio language to describe a ratio relationship between two quantities

#### 6-RP2

Understand the concept of a unit rate a/b associated with a ratio a:b with b 0, and use rate language in the context of a ratio relationship.

#### 6-RP3

Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

#### 6-RP3a

Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.

#### 6-RP3b

Solve unit rate problems including those involving unit pricing and constant speed.

#### 6-RP3c

Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.

#### 6-RP3d

Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

#### 6-SP1

Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.

#### 6-SP2

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-SP3

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 with a single number.

#### 6-SP4

Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

#### 6-SP5

Summarize numerical data sets in relation to their context, such as by:

#### 6-SP5a

Reporting the number of observations.

#### 6-SP5b

Describing the nature of the attribute under investigation, including how it was measured and its units of measurement.

#### 6-SP5c

Giving 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 in which the data were gathered.

#### 6-SP5d

Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.