IllinoisIllinois 6th Grade Math Curriculum
Video lessons and practice for every 6th grade math topic. Aligned to Illinois Learning Standards for Math so your child keeps up with class.
Illinois 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. |
Illinois 6th Grade Math: What Students Learn This Year
6th grade is a major turning point in math. Illinois students move beyond whole number arithmetic into new territory — ratios, negative numbers, algebraic thinking, and data analysis. Every topic in this course aligns to the Illinois Learning Standards for Math and prepares students for the IAR assessment and 7th grade pre-algebra.
Ratios, Rates, and Proportional Reasoning
Students begin by understanding ratios and unit rates — describing relationships between two quantities using ratio language and solving real-world problems with rate reasoning. These skills appear throughout middle school math and science.
The Number System
6th graders extend their number sense to include fractions divided by fractions, multi-digit decimal operations, greatest common factor, least common multiple, and — for the first time — negative numbers. Understanding integers and rational numbers on a number line is a foundational skill for algebra.
Expressions, Equations, and Inequalities
Algebraic thinking takes center stage in 6th grade. Students write and evaluate numerical expressions with exponents, use variables to represent quantities, apply properties of operations, and solve one-step equations and inequalities. They also explore dependent and independent variables in real-world contexts.
Geometry
Students find the area of triangles, quadrilaterals, and polygons by composing and decomposing shapes. They calculate the volume of rectangular prisms with fractional edge lengths, plot polygons on coordinate planes, and use nets to find surface area of 3D figures.
Statistics and Probability
6th graders are introduced to statistical thinking — identifying statistical questions, understanding data distributions, calculating measures of center (mean, median, mode) and measures of variation, and displaying data in dot plots, histograms, and box plots.
How StudyPug Supports Illinois 6th Grade Math
- Video lessons for every topic in the Illinois Learning Standards for Math
- Practice problems with step-by-step solutions after every lesson
- IAR-aligned content covering all 6th grade tested standards
- Works on any device — great for homework help at home or on the go