flagIllinois

Math

6th Grade Math

Illinois 6th Grade Math

Watch ratio and fraction videos, practice with hundreds of algebra and geometry problems

students image

My daughter went from struggling with ratios to mastering them in just 6 weeks. Her IAR scores improved dramatically this year.

Maria G.

pug

Why Choose StudyPug for Grade 6

Trusted platform that builds strong math foundations

Search with Photo

Search with Photo

Upload Grade 6 problems—AI searches and finds the right lesson teaching the concept

Expert Video Teaching

Expert Video Teaching

Certified teachers solve ratios, expressions, fractions, integers, and geometry problems step-by-step

Track Progress

Track Progress

Visual progress tracking shows mastery and guides your child to algebra readiness

How Illinois Students Use StudyPug

1

Select Grade Level
Select Grade Level

Choose your Illinois grade (K-12) and current math topics.

2

Get Unstuck
Get Unstuck

Upload homework problems or browse curriculum-aligned lessons.

3

Practice & Master
Practice & Master

Work through similar problems until concepts stick.

4

See Results
See Results

Track progress and watch grades improve week by week.

Illinois 6th Grade Math Help | Build Strong SkillsHelp

Print

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.
Complete Illinois 6th Grade Math Coverage

6th Grade Math Lessons

59

Video Explanations

503

Practice Problems

231

Illinois Standards

100% Aligned

Why Illinois Families Choose StudyPug

IAR Test Prep

IAR Test Prep

Practice problems and lessons prepare your child for Illinois Assessment of Readiness

Certified Teachers

Certified Teachers

Certified teachers with expertise in Illinois Learning Standards curriculum

Step-by-Step Solutions

Step-by-Step Solutions

Every problem includes detailed step-by-step solutions your child can review anytime

Try Free

Success Stories

The video lessons on fractions made everything click. His homework takes half the time now and he actually enjoys math again.

Jennifer K.

After two months with StudyPug, her confidence soared. She went from avoiding math to volunteering answers in class every day.

David C.

Read More

Frequently Asked Questions

Common questions about StudyPug for Illinois 6th Grade Math

Is StudyPug aligned with Illinois Learning Standards for Grade 6?

Yes, StudyPug is 100% aligned with Illinois Learning Standards, covering all Grade 6 topics including ratios, expressions, geometry, and statistics to prepare students for IAR testing.

How does StudyPug help with IAR test preparation?

StudyPug provides practice problems and video lessons that mirror IAR question formats, helping students master the concepts and problem-solving skills needed for Illinois state assessments.

What Grade 6 math topics does StudyPug cover?

StudyPug covers all Grade 6 topics: ratios and rates, fraction operations, integers, expressions, equations, geometry, volume, surface area, and statistics with data analysis.

Can my child use StudyPug independently for homework help?

Yes, students can search problems with photo recognition, watch step-by-step video explanations, and practice independently with immediate feedback on all Grade 6 math topics.

How do I track my child's progress in Grade 6 math?

StudyPug provides visual progress tracking that shows which topics your child has mastered and which need more practice, helping you support their learning effectively.

How StudyPug Works
Join Today

Practice Smart, See Real Progress

Unlimited Targeted Practice
Unlimited Targeted Practice

10,000+ questions adjust to your exact skill level. Never run out of problems that challenge you.

Visual Progress Tracking
Visual Progress Tracking

See mastery percentage for every topic. Parents get weekly progress emails automatically.

Achievement System
Achievement System

Earn badges for consistency and improvement. Build learning streaks that motivate daily practice

Detailed Analytics
Detailed Analytics

Time spent, problems solved, concepts mastered. Identify exactly where more practice is needed.

Start Now For Free
parent
CallToActionContent

End Math Struggles Today

Illinois standard-aligned help that actually works

Start Now For Free
mathImage