6th Grade Math Unit Resources

Expressions and Equations: Area, Algebraic Expressions, and Exponents

• 6.Geometry.A.1 — Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing or decomposing them into rectangles and triangles.

• 6.Geometry.A.4 — Represent three-dimensional figures using nets made up of rectangles and triangles, and use nets to find surface area.

• 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.B.6 — Use variables to represent numbers and write expressions when solving real-world problems; understand solving equations as a process of reasoning.

Decimals and Fractions: Base-Ten Operations, Division with Fractions, and Volume

• 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.

• 6.G.B.2 – Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes and applying the formula V=l×w×hV = l \times w \times hV=l×w×h; apply this to real-world and mathematical problems.

Ratio Reasoning: Ratio Concepts and Equivalent Ratios 

• 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.3a – 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.

Ratio Reasoning; Unit Rates and Percent   

• 6.RP.A.2 – Understand the concept of a unit rate a/ba/ba/b associated with a ratio a:ba:ba:b with b≠0b \ne 0b=0, and use rate language in the context of a ratio relationship.

• 6.RP.A.3b – Solve unit rate problems involving unit pricing and constant speed.

• 6.RP.A.3c – Find a percent of a quantity as a rate per 100, and solve percent problems.

• 6.RP.A.3d – Use ratio reasoning to convert measurement units, manipulating and transforming units appropriately when multiplying or dividing quantities.

Algebraic Thinking: Equivalent Expressions and Equations with Variables 

• 6.NS.B.4 – 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 with no common factor.

• 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.B.5 – Understand solving an equation or inequality as a process of reasoning to find which values make the equation or inequality true.

• 6.EE.B.7 – Solve real-world and mathematical problems by writing and solving equations of the form x+p=qx + p = qx+p=q and px=qpx = qpx=q.

• 6.EE.B.9 – Use variables to represent two quantities in a real-world relationship that change in relationship to one another and analyze the relationship using graphs and tables.

Positive and Negative Numbers: Absolute Value, Inequalities and the Coordinate Plane

• 6.NS.C.5 – Understand that positive and negative numbers are used together to describe quantities having opposite directions or values.

• 6.NS.C.6 – Understand a rational number as a point on the number line and extend number line diagrams to represent all rational numbers.

• 6.NS.C.7 – Understand ordering and absolute value of rational numbers.

• 6.NS.C.8 – Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane.

• 6.EE.B.5 – Understand solving an equation or inequality as a process of reasoning to find which values make the equation or inequality true.

• 6.EE.B.8 – Write an inequality to represent a constraint or condition in a real-world or mathematical problem and graph the solution set on a number line.

• 6.G.A.3 – Draw polygons in the coordinate plane given coordinates for the vertices, and use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate.

Statistical Thinking: Data Distributions and Measures of Center and Variability

• 6.SP.A.1 – Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for that variability in the answers.

• 6.SP.A.2 – Understand that a set of data collected to answer a statistical question has a distribution that can be described by its center, spread, and overall shape.

• 6.SP.A.3 – Recognize that a measure of center (mean or median) summarizes all data with a single number, while a measure of variation (range or mean absolute deviation) describes how the data values vary.

• 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, including describing the center, variability, and any patterns or outliers