Math Made Easy’s 6th grade math course has 20 chapters, from ratios and unit rates to mean, median and mean absolute deviation. Each 6th grade math chapter has a lesson, a worksheet and test with answer keys, a scoring guide and a 10-question quiz. It follows the Grade 6 Common Core standards and is free to use.
What is in the course
- Ratios and Ratio Language
- Converting Measurement Units
- Adding, Subtracting, Multiplying and Dividing Decimals
- Exponents and Order of Operations
- Writing and Graphing Inequalities
- Volume of Rectangular Prisms
The course opens with ratios, moves through fractions, decimals and integers, and closes with geometry measures and statistics. Students meet negative numbers for the first time, so number lines appear in many early chapters.
Take each 6th grade math chapter in the same order: lesson, worksheet, answer key, test, quiz. Mathbot, the blue robot coach, marks the key idea in every lesson, including the one on dividing fractions. Chapters such as integers and absolute value and inequalities are typical stopping points for review.
Chapter 1 · Grade 6 · 6.RP.A.1, 6.RP.A.3a
Ratio Language and Equivalent Ratios
Learn to describe how two quantities compare using a:b, a to b, and a/b, and to tell part-to-part from part-to-whole. Build ratio tables and tape diagrams, such as 3 red to 5 blue giving 6 to 10. Read the lesson on ratios, solve the worksheet and check it with the answer key, then take the quiz and the test.
- Ratio language
- Ratio tables
- Tape diagrams
Chapter 2 · Grade 6 · 6.RP.A.2, 6.RP.A.3b
Unit Rates and Better Buys
Find the amount for one unit and use it to decide which deal is better. A 12-ounce box at $3.60 costs $0.30 per ounce, so you can compare it with a 20-ounce box and read speeds in miles per hour. Work through the unit rates lesson, test yourself on the worksheet with its answer key, and finish with the quiz and the scored test.
- Unit price
- Constant speed
- Better buy
Chapter 3 · Grade 6 · 6.RP.A.3c
Percents as Rates per 100
See a percent as a rate per 100, then find a percent of a quantity or recover the whole from a part. You will convert among fractions, decimals, and percents and draw bar models, like 25% of 80 students. Mathbot suggests the lesson first, then the worksheet with answer key, and finally the quiz and test to prove your percents skills.
- Percent of a number
- Finding the whole
- Percent conversions
Chapter 4 · Grade 6 · 6.RP.A.3d
Converting Units with Ratio Reasoning
Switch between inches, feet, yards, miles, ounces, pounds, cups, quarts, gallons, and metric units by multiplying with conversion factors. Multi-step conversions come naturally, such as turning 3.5 gallons into cups with ratio reasoning. Every page pairs a lesson with a worksheet and answer key, plus a quiz and a test whose scoring guide shows where conversions points were earned.
- Conversion factors
- Customary units
- Metric units
Chapter 5 · Grade 6 · 6.NS.A.1
Dividing Fractions with Models and Reciprocals
Understand what it means to divide by a fraction, using pictures first and reciprocals second. You will answer how-many-groups questions, for example how many 3/4-cup servings fit in 4 1/2 cups, including mixed numbers. Read, solve the worksheet, grade it with the answer key; the quiz is a quick check on fraction division, and the test comes with a scoring guide.
- Fraction division
- Reciprocals
- Mixed numbers
Chapter 6 · Grade 6 · 6.NS.B.2
Long Division with Multi-Digit Divisors
Master the standard long-division algorithm with multi-digit divisors, estimate quotients before you start, and decide what a remainder means in a story. For instance, 1,250 pencils packed 24 to a box fill 52 boxes with 2 left over. Learn long division in the lesson, build speed on the worksheet, correct mistakes with the answer key, and confirm mastery with the quiz and test.
- Long division
- Estimating quotients
- Remainders
Chapter 7 · Grade 6 · 6.NS.B.3
Decimal Operations: Add, Subtract, Multiply, Divide
Add, subtract, multiply, and divide multi-digit decimals with confidence and place the decimal point correctly, even when dividing by a decimal. Money and measurement stories, like splitting $47.85 among 5 friends, give each step a purpose. After the lesson, the worksheet and answer key let you fix errors in decimal operations before you attempt the quiz and the test.
- Decimal operations
- Decimal point placement
- Money problems
Chapter 8 · Grade 6 · 6.NS.B.4
Factors, Multiples and Common Ones: GCF and LCM
Use prime factorization to find the greatest common factor and least common multiple, then apply them to schedules and sharing. You will also rewrite 36 + 8 as 4(9 + 2) with the distributive property. Take the quiz first to see what you know about GCF and LCM, then study the lesson, finish the worksheet, and use the test scoring guide.
- Prime factorization
- GCF and LCM
- Factoring sums
Chapter 9 · Grade 6 · 6.NS.C.5, 6.NS.C.6a, 6.NS.C.7
Negative Numbers, Opposites and Absolute Value
Work with positive and negative numbers in temperature, elevation, and money, place rational numbers on a number line, and compare them. Absolute value becomes distance from 0, so a dive to -30 feet is 30 feet from the surface. Do the lesson, then the worksheet and answer key, then the scored test on integers; the short quiz gives a fast check on the way.
- Opposites
- Number line
- Absolute value
Chapter 10 · Grade 6 · 6.NS.C.6b, 6.NS.C.6c, 6.NS.C.8, 6.G.A.3
Plotting Points and Shapes on the Coordinate Plane
Plot ordered pairs in all four quadrants, reflect points across the axes, and find distances along horizontal or vertical lines. Draw a polygon from vertices such as (2, 3), (2, -1), and (6, -1), then measure its sides. Lesson first, worksheet next: the answer key confirms each the coordinate plane result, and the quiz and test with scoring guide close the chapter.
- Four quadrants
- Reflections
- Plotting polygons
Chapter 11 · Grade 6 · 6.EE.A.1, 6.EE.A.2c
Powers, Powers of Ten and Order of Operations
Read and evaluate whole-number exponents and powers of 10, then follow the order of operations with grouping symbols. You will see why 3 + 2 x 4^2 equals 35 and not 80. Read the lesson on exponents, solve the worksheet and check it with the answer key, then take the quiz and the test.
- Exponents
- Powers of 10
- Order of operations
Chapter 12 · Grade 6 · 6.EE.A.2, 6.EE.A.3, 6.EE.A.4
Writing, Evaluating and Simplifying Algebraic Expressions
Translate words into expressions, name terms, coefficients, and factors, and evaluate formulas like A = 6s^2 for s = 4. The distributive property and like terms let you write 3x + 5x as 8x. Work through the algebraic expressions lesson, test yourself on the worksheet with its answer key, and finish with the quiz and the scored test.
- Writing expressions
- Evaluating formulas
- Combining like terms
Chapter 13 · Grade 6 · 6.EE.B.5, 6.EE.B.6, 6.EE.B.7
Solving One-Step Equations with Inverse Operations
Test whether a value is a solution by substitution, then solve x + p = q and px = q with fractions and decimals. Turn a story into an equation, such as 4n = 18 for four equal shares of 18 dollars. Mathbot suggests the lesson first, then the worksheet with answer key, and finally the quiz and test to prove your one-step equations skills.
- Solving equations
- Substitution
- Equation word problems
Chapter 14 · Grade 6 · 6.EE.B.5, 6.EE.B.8
Writing and Graphing Inequalities on a Number Line
Write inequalities with the symbols <, >, and their or-equal versions, and graph them on a number line using open and closed circles. A sign saying riders must be at least 48 inches tall becomes h >= 48. Every page pairs a lesson with a worksheet and answer key, plus a quiz and a test whose scoring guide shows where inequalities points were earned.
- Inequality symbols
- Graphing inequalities
- Real-world limits
Chapter 15 · Grade 6 · 6.EE.C.9
Variables That Change Together: Input and Output
Decide which quantity depends on which, write an equation like d = 65t, and connect it to a table and a graph. After 3 hours at 65 miles per hour you have driven 195 miles, and the graph shows why. Read, solve the worksheet, grade it with the answer key; the quiz is a quick check on variables and graphs, and the test comes with a scoring guide.
- Variable roles
- Equation from a table
- Reading graphs
Chapter 16 · Grade 6 · 6.G.A.1
Finding the Area of Flat Shapes
Find the area of triangles, parallelograms, trapezoids, and other polygons by cutting them into rectangles and triangles. A trapezoid-shaped garden with bases 8 and 12 feet and height 5 feet has 50 square feet. Learn area in the lesson, build speed on the worksheet, correct mistakes with the answer key, and confirm mastery with the quiz and test.
- Triangle area
- Trapezoid area
- Composite polygons
Chapter 17 · Grade 6 · 6.G.A.2
Finding the Volume of Rectangular Prisms
Pack a box with unit cubes of fractional edge length, then connect that picture to V = lwh and V = Bh. A prism measuring 2 1/2 by 3 by 4 units holds 30 cubic units. After the lesson, the worksheet and answer key let you fix errors in volume before you attempt the quiz and the test.
- Unit cubes
- Volume formulas
- Cubic units
Chapter 18 · Grade 6 · 6.G.A.4
Unfolding Solids: Nets and Surface Area
Unfold rectangular prisms, triangular prisms, and pyramids into nets, then add the faces to get surface area. You can then tell how much paper wraps a 4 by 3 by 2 inch gift box. Take the quiz first to see what you know about surface area, then study the lesson, finish the worksheet, and use the test scoring guide.
- Reading nets
- Surface area
- Wrapping problems
Chapter 19 · Grade 6 · 6.SP.A.1, 6.SP.A.2, 6.SP.B.4, 6.SP.B.5a, 6.SP.B.5b
Asking Statistical Questions and Showing Data
Spot a statistical question, then show the answers with dot plots, histograms, and box plots. You will describe center, spread, and shape, for example from 20 quiz scores, and name the attribute and its units. Do the lesson, then the worksheet and answer key, then the scored test on data displays; the short quiz gives a fast check on the way.
- Statistical questions
- Dot plots and histograms
- Box plots
Chapter 20 · Grade 6 · 6.SP.A.3, 6.SP.B.5c, 6.SP.B.5d
Measuring Center and Variability in Data
Compute mean, median, range, interquartile range, and mean absolute deviation, and judge how an outlier changes each one. If five scores are 70, 72, 75, 78, and 100, decide which center is fairer. Lesson first, worksheet next: the answer key confirms each center and spread result, and the quiz and test with scoring guide close the chapter.
- Mean and median
- IQR and MAD
- Outliers
Grade 6 Math: Lessons, Worksheets, Tests and Quizzes: frequently asked questions
How many chapters are in 6th grade math?
The 6th grade math course has 20 chapters, so there are 20 lessons, 20 worksheets, 20 tests and 20 quizzes. The list starts with ratios and unit rates and ends with mean, median and mean absolute deviation.
What order should I study 6th grade math in?
Follow the chapter list from ratios and unit rates to mean, median and mean absolute deviation, passing through dividing fractions and integers and absolute value on the way. Within each 6th grade math chapter use the lesson, the worksheet, its answer key, the test and then the quiz.
Which standards does the Grade 6 math course follow?
The course follows the Grade 6 Common Core State Standards for Mathematics, which organizes the course into Ratios & Proportional Relationships, The Number System, Expressions & Equations, Geometry, and Statistics & Probability. Each Grade 6 math chapter is tagged with codes such as 6.RP.A.3, 6.NS.A.1 and 6.EE.B.7.
Who is the Grade 6 math course written for?
It is written for students new to middle school math, and it also works as a free reference for parents and teachers. Chapters such as dividing fractions and inequalities can be used on their own for review.
How do I know I am ready to move on in Grade 6 math?
Score well on the Grade 6 math chapter quiz and test, then compare every miss with the answer keys. Chapters on dividing fractions and inequalities are good checkpoints before moving on.