ArizonaArizona 6th Grade Math Curriculum
Video lessons and practice for every 6th grade math topic. Aligned to Arizona Mathematics Standards so Arizona students can keep up, catch up, or get ahead.
Arizona 6th Grade Math Curriculum | StudyPugHelp
ID | Standard | StudyPug Topic |
|---|---|---|
6.RP.A.1 | Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. |
6.RP.A.2 | 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.RP.A.3 | Use ratio and rate reasoning to solve real-world and mathematical problems. |
6.NS.A.1 | Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions. |
6.NS.B.2 | Fluently divide multi-digit numbers using the standard algorithm. |
6.NS.B.3 | Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. |
6.NS.B.4 | 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. |
6.NS.5 | Understand that positive and negative numbers are used together to describe quantities having opposite directions or values. |
6.NS.6 | 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.NS.7 | Understand ordering and absolute value of rational numbers. |
6.NS.8 | Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. |
6.EE.A.1 | Write and evaluate numerical expressions involving whole-number exponents. |
6.EE.A.2 | Write, read, and evaluate expressions in which letters stand for numbers. |
6.EE.A.3 | Apply the properties of operations to generate equivalent expressions. |
6.EE.A.4 | Identify when two expressions are equivalent. |
6.EE.A.5 | 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? |
6.EE.B.6 | Use variables to represent numbers and write expressions when solving a real-world or mathematical problem. |
6.EE.B.7 | 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.EE.B.8 | Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. |
6.EE.C.9 | 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. |
6.G.A.1 | Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes. |
6.G.A.2 | 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. |
6.G.A.3 | 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. |
6.G.A.4 | Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. |
6.SP.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.SP.A.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.SP.A.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 with a single number. |
6.SP.B.4 | Display numerical data in plots on a number line, including dot plots, histograms, and box plots. |
6.SP.B.5 | Summarize numerical data sets in relation to their context. |
Arizona 6th Grade Math: Topics and Standards
6th grade math in Arizona is organized around six major areas: ratios and proportional relationships, the number system, expressions and equations, geometry, and statistics and probability. Each area aligns to the Arizona Mathematics Standards, which guide what students are expected to know and be able to do by the end of the year.
Ratios and Rates
Students learn to describe ratio relationships between two quantities and connect ratios to real-world contexts. They explore unit rates, use ratio and rate reasoning to solve problems, and apply these skills to percent, measurement conversions, and graphing on the coordinate plane.
The Number System
6th graders extend their understanding of numbers to include negative integers and rational numbers. They locate rational numbers on a number line, compare and order them using absolute value, and graph points in all four quadrants of the coordinate plane. They also build fluency with multi-digit division and decimal operations.
Expressions and Equations
Students write and evaluate numerical expressions with whole-number exponents, use variables to represent numbers, and apply properties of operations to generate equivalent expressions. They solve one-step equations of the form x + p = q and px = q, write inequalities, and analyze relationships between dependent and independent variables.
Geometry
6th grade geometry covers finding the area of triangles, quadrilaterals, and polygons by composing and decomposing shapes. Students find the volume of rectangular prisms with fractional edge lengths, draw polygons on the coordinate plane, and use nets to find the surface area of three-dimensional figures.
Statistics and Probability
Students learn to recognize statistical questions, describe data distributions by their center, spread, and shape, and display data using dot plots, histograms, and box plots. They summarize numerical data sets and interpret measures of center and variation in context.
- Ratios, unit rates, and percent problems
- Integers, absolute value, and the coordinate plane
- Multi-digit division and decimal operations
- Algebraic expressions and one-step equations
- Area, surface area, and volume with fractional lengths
- Dot plots, histograms, box plots, and data summaries
StudyPug covers every one of these topics with step-by-step video lessons and practice problems aligned to the Arizona Mathematics Standards. Whether your child needs help catching up or wants to get ahead, StudyPug is available anytime on any device.