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Delaware Grade 6 Math
Compare original prices for 12- and 20-pencil packages, calculate unit rates, and use Delaware Grade 6 ratio and unit-price references.
Focused lessons · Useful practice · Clear next steps
Standards source: Delaware Mathematics Standards, Delaware Department of Education.
Start With a Smarter Balanced Practice Test
Six full, timed Delaware Smarter Balanced Grade 6 math practice tests, 40 questions each, instant scoring, a topic-by-topic breakdown, and full step-by-step solutions. Each one opens right here in a popup. Calculator: Scientific calculator (on part).
Smarter Balanced Practice Test 1
A full diagnostic across every Delaware Grade 6 math topic.
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Smarter Balanced Practice Test 2
Fresh questions and problem types to build accuracy.
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Smarter Balanced Practice Test 3
New problems to add speed and confidence on every skill.
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Smarter Balanced Practice Test 4
Another complete, timed exam to build pacing and stamina.
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Smarter Balanced Practice Test 5
A brand-new mixed set to test your readiness.
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Smarter Balanced Practice Test 6
A final full-length simulation to confirm you are ready.
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Delaware Grade 6 Math Study Tools
A few minutes of quick review, flip through flashcards or scan every key formula. Both open right here.
Delaware Grade 6 Math Skill Quizzes
Short, focused quizzes, pick one skill, answer 10 questions, get instant scoring and full solutions, then jump to the matching lesson. Each opens right here.
Ratios, Rates & Proportions
A quick 10-question check on Ratios, Rates & Proportions with instant scoring and step-by-step solutions.
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Fractions & Decimals
A quick 10-question check on Fractions & Decimals with instant scoring and step-by-step solutions.
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Integers & the Coordinate Plane
A quick 10-question check on Integers & the Coordinate Plane with instant scoring and step-by-step solutions.
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Factors, Multiples & Percents
A quick 10-question check on Factors, Multiples & Percents with instant scoring and step-by-step solutions.
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Expressions, Equations & Inequalities
A quick 10-question check on Expressions, Equations & Inequalities with instant scoring and step-by-step solutions.
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Geometry: Area, Surface Area & Volume
A quick 10-question check on Geometry: Area, Surface Area & Volume with instant scoring and step-by-step solutions.
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Statistics & Data
A quick 10-question check on Statistics & Data with instant scoring and step-by-step solutions.
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Mixed Grade 6 Review
A quick 10-question check on Mixed Grade 6 Review with instant scoring and step-by-step solutions.
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Classroom practice and state assessment information
Grade 6 is within Delaware’s Smarter Balanced mathematics testing range. The linked learning resources have their own directions and scoring; a practice score does not establish an official state performance level. Read the state summative assessment overview for official guidance.
Use the worked activity and lesson directory to choose a skill. Confirm the directions of an independent practice resource before assigning it.
Compare pencil packages by price per pencil
Work through the example
An imaginary supply list offers Package A with 12 pencils for $3 and Package B with 20 pencils for $6. Which has the lower price per pencil? Assume each package contains the same kind of pencil.
Connect the model and calculation
For A, divide $3 by 12 pencils: the unit price is $0.25 per pencil. For B, divide $6 by 20: the unit price is $0.30 per pencil. A has the lower unit price. Check by multiplying back: 12 × $0.25 = $3 and 20 × $0.30 = $6. For an equal comparison of 60 pencils, five A packages cost $15, while three B packages cost $18. The common quantity confirms the unit-rate result.
| Package | Quantity | Price | Price per pencil |
|---|---|---|---|
| A | 12 pencils | $3 | $0.25 |
| B | 20 pencils | $6 | $0.30 |
Understand an incorrect answer
Saying A is cheaper only because $3 is less than $6 ignores the different package sizes. Saying B is cheaper because it contains more pencils also misses price per pencil. Reversing the division produces pencils per dollar, a valid but different rate; its comparison runs in the opposite direction because more pencils per dollar is better value. Label the units before interpreting the quotient.
Transfer the idea to another example
Change Package B’s price to $5. Its unit price becomes $0.25 per pencil, matching A. Then ask how a need for exactly 20 pencils affects a purchase decision if only whole packages can be bought. Two A packages cost $6 and supply 24 pencils, while one revised B package costs $5 and supplies 20. Lower unit price, total spending, and leftover supplies are different questions. State which question a rate comparison answers before choosing an option.
Selected Delaware Grade 6 references
The Delaware mathematics standards directory links the Common Core publisher. Delaware’s standards regulation, section 1.1.1.1, identifies adoption for the 2010–11 school year. Use the adopted document alongside the school’s instructional plan. These labels summarize the activity’s focus; read the complete expectations and mathematical practices in the publisher’s mathematics document.
| Reference | Activity focus | Official document |
|---|---|---|
| 6.RP.A.3b | Unit rates including unit pricing | Read PDF page 42 |
Sources checked October 5, 2026. This selected activity is an entry point for instruction, not a complete curriculum checklist.
Connect the explanation with practice
Use the lesson, worksheet, and quiz directory to choose a related skill. The existing resource links remain available; open each activity’s directions to understand its timer, tools, question count, and scoring.
Grade 6 is within Delaware’s Smarter Balanced mathematics testing range. The linked learning resources have their own directions and scoring; a practice score does not establish an official state performance level. Read Delaware’s official summative assessment overview.
Keep one example of the student’s reasoning with the practice result. Choose a smaller model, a related question, or a new context according to the difficulty revealed in the worked activity.
Delaware Grade 6 Math Topics
Student-friendly Grade 6 math skills connected to the Delaware standards, each tagged with its Smarter Balanced standard code and a focused lesson.
Ratios And Proportional Relationships
- 6.RP.A.1Understanding RatiosWorksheetsQuiz
- 6.RP.A.2Writing Ratios in Different FormsWorksheetsQuiz
- 6.RP.A.3Equivalent RatiosWorksheetsQuiz
- 6.RP.A.3Ratio TablesWorksheetsQuiz
- 6.RP.A.2Unit RatesWorksheetsQuiz
- 6.RP.A.2Comparing Unit RatesWorksheetsQuiz
- 6.RP.A.3Solving Ratio ProblemsWorksheetsQuiz
- 6.RP.A.3Proportions and Cross MultiplicationWorksheetsQuiz
The Number System, Fractions
- 6.NS.B.4Simplifying FractionsWorksheetsQuiz
- 6.NS.A.1Adding Fractions with Unlike DenominatorsWorksheetsQuiz
- 6.NS.A.1Subtracting Fractions with Unlike DenominatorsWorksheetsQuiz
- 6.NS.B.3Adding and Subtracting Mixed NumbersWorksheetsQuiz
- 6.NS.A.1Multiplying FractionsWorksheetsQuiz
- 6.NS.B.4Multiplying Mixed NumbersWorksheetsQuiz
- 6.NS.A.1Dividing FractionsWorksheetsQuiz
- 6.NS.A.1Dividing Mixed NumbersWorksheetsQuiz
The Number System, Decimals
- 6.NS.B.3Decimal Place ValueWorksheetsQuiz
- 6.NS.C.7Comparing and Ordering DecimalsWorksheetsQuiz
- 6.NS.B.3Adding and Subtracting DecimalsWorksheetsQuiz
- 6.NS.B.3Multiplying DecimalsWorksheetsQuiz
- 6.NS.B.4Dividing Decimals by Whole NumbersWorksheetsQuiz
- 6.NS.B.3Dividing Decimals by DecimalsWorksheetsQuiz
- 6.NS.A.1Converting Fractions to DecimalsWorksheetsQuiz
- 6.NS.A.1Converting Decimals to Fractions (resource currently unavailable)WorksheetsQuiz
The Number System, Integers And The Coordinate Plane
- 6.NS.C.5Understanding Positive and Negative NumbersWorksheetsQuiz
- 6.NS.C.6Integers on a Number LineWorksheetsQuiz
- 6.NS.C.7Opposites and Absolute ValueWorksheetsQuiz
- 6.NS.C.7Comparing and Ordering IntegersWorksheetsQuiz
- 6.NS.C.8Graphing on the Coordinate PlaneWorksheetsQuiz
- 6.NS.C.8Reflecting Points on the Coordinate PlaneWorksheetsQuiz
The Number System, Factors And Multiples
Ratios And Percents
- 6.RP.A.2Understanding PercentsWorksheetsQuiz
- 6.NS.A.1Fractions, Decimals, and PercentsWorksheetsQuiz
- 6.RP.A.3cFinding the Percent of a NumberWorksheetsQuiz
- 6.RP.A.3cFinding the Whole Given a PercentWorksheetsQuiz
- 6.RP.A.1Percent Increase and DecreaseWorksheetsQuiz
- 6.G.A.2Discounts, Tax, and TipsWorksheetsQuiz
Expressions And Equations
- 6.EE.A.2Writing Algebraic ExpressionsWorksheetsQuiz
- 6.EE.A.2Evaluating Algebraic ExpressionsWorksheetsQuiz
- 6.EE.A.2cOrder of OperationsWorksheetsQuiz
- 6.EE.A.4The Distributive PropertyWorksheetsQuiz
- 6.EE.A.3Combining Like TermsWorksheetsQuiz
- 6.EE.B.7Writing Equations from Word ProblemsWorksheetsQuiz
- 6.EE.B.7Solving One-Step Addition and Subtraction EquationsWorksheetsQuiz
- 6.NS.A.1Solving One-Step Multiplication and Division EquationsWorksheetsQuiz
- 6.EE.B.8Writing and Graphing InequalitiesWorksheetsQuiz
- 6.EE.B.8Solving One-Step InequalitiesWorksheetsQuiz
Geometry, Area
Geometry, 3D Figures, Surface Area, And Volume
Statistics
- 6.SP.A.1Statistical QuestionsWorksheetsQuiz
- 6.SP.A.3MeanWorksheetsQuiz
- 6.SP.A.3Median and ModeWorksheetsQuiz
- 6.SP.A.1RangeWorksheetsQuiz
- 6.SP.B.5cMean Absolute DeviationWorksheetsQuiz
- 6.SP.B.4Dot PlotsWorksheetsQuiz
- 6.SP.B.4HistogramsWorksheetsQuiz
- 6.SP.B.4Box PlotsWorksheetsQuiz
- 6.SP.A.2Summarizing and Describing DistributionsWorksheetsQuiz
Best Delaware Smarter Balanced Grade 6 Math Books
Each book has a job: start from scratch, drill weak skills, or build pacing with full tests. All of them pair with the free tools on this page.
Delaware Smarter Balanced Grade 6 Math Made Ridiculously Simple
A step-by-step Smarter Balanced Grade 6 math book that rebuilds every tested skill clearly and in order, built to match the Delaware standards.
- Best starting point for the Smarter Balanced math test
- Pairs with Delaware flashcards and worksheets
- Use it before full timed practice tests
- Organized for students who need examples before drills
Step-by-step lessons
Short explanations show the move before the student practices it.
✍Worked examples
Examples translate Smarter Balanced-style wording into clear math steps.
Targeted practice
Rebuild one skill at a time instead of jumping around.
Test-day bridge
After each topic, connect to formulas, flashcards, and practice questions.
How to use it
- Read one lesson and copy the worked example.
- Do a short worksheet set on the same topic.
- Review the matching flashcards or formulas.
- Try a mixed quiz and mark every miss.
Choose the right Delaware Grade 6 math book
Delaware Smarter Balanced Grade 6 Math Made Ridiculously Simple
Start here to rebuild Smarter Balanced math from the ground up.
Delaware Smarter Balanced Grade 6 Math Preparation Bundle
The full prep library, study guide, workbook, and practice tests together.
7 Delaware Smarter Balanced Grade 6 Math Practice Tests
Use after topic review to build pacing and test stamina.
Delaware Smarter Balanced Grade 6 Math & ELA Mega Bundle
9 books and 44 full-length practice tests in one TPT bundle.
Delaware Grade 6 math planning reference
Use this existing domain-organized reference for navigation. The adopted Core Standards document supplies complete wording, examples, and mathematical practices. Check those details before treating a short entry as the full requirement.
6.RP · Ratios & Proportional Relationships
- 6.RP.A.1Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities
- 6.RP.A.2Understand the concept of a unit ratea/bassociated with a ratio a:b withb≠ 0, and use rate language in the context of a ratio relationship
- 6.RP.A.3Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations
- 6.RP.A.3aMake 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
- 6.RP.A.3bSolve unit rate problems including those involving unit pricing and constant speed
- 6.RP.A.3cFind a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means30/100times the quantity); solve problems involving finding the whole, given a part and the percent
- 6.RP.A.3dUse ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities
6.NS · The Number System
- 6.NS.A.1Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem
- 6.NS.B.2Fluently divide multi-digit numbers using the standard algorithm
- 6.NS.B.3Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation
- 6.NS.B.4Find 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. Use the distributive property to express a sum of two whole numbers 1 to 100 with a common factor as a multiple of a sum of two whole numbers with no common factor
- 6.NS.C.5Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation
- 6.NS.C.6Understand 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.C.6aRecognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., (, 3) = 3, and that 0 is its own opposite
- 6.NS.C.6bUnderstand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes
- 6.NS.C.6cFind and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane
- 6.NS.C.7Understand ordering and absolute value of rational numbers
- 6.NS.C.7aInterpret statements of inequality as statements about the relative position of two numbers on a number line diagram
- 6.NS.C.7bWrite, interpret, and explain statements of order for rational numbers in real-world contexts
- 6.NS.C.7cUnderstand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation
- 6.NS.C.7dDistinguish comparisons of absolute value from statements about order
- 6.NS.C.8Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate
6.EE · Expressions & Equations
- 6.EE.A.1Write and evaluate numerical expressions involving whole-number exponents
- 6.EE.A.2Write, read, and evaluate expressions in which letters stand for numbers
- 6.EE.A.2aWrite expressions that record operations with numbers and with letters standing for numbers
- 6.EE.A.2bIdentify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity
- 6.EE.A.2cEvaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations)
- 6.EE.A.3Apply the properties of operations to generate equivalent expressions
- 6.EE.A.4Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them)
- 6.EE.B.5Understand 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? Use substitution to determine whether a given number in a specified set makes an equation or inequality true
- 6.EE.B.6Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set
- 6.EE.B.7Solve real-world and mathematical problems by writing and solving equations of the formx+p=qandpx=qfor cases in whichp,qandxare all nonnegative rational numbers
- 6.EE.B.8Write an inequality of the formx>corx<cto represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the formx>corx<chave infinitely many solutions; represent solutions of such inequalities on number line diagrams
- 6.EE.C.9Use 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. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation
6.G · Geometry
- 6.G.A.1Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems
- 6.G.A.2Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulasV=l w handV=b hto find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems
- 6.G.A.3Draw 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. Apply these techniques in the context of solving real-world and mathematical problems
- 6.G.A.4Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems
6.SP · Statistics & Probability
- 6.SP.A.1Recognize 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.2Understand 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.3Recognize 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.4Display numerical data in plots on a number line, including dot plots, histograms, and box plots
- 6.SP.B.5Summarize numerical data sets in relation to their context, such as by:
- 6.SP.B.5aReporting the number of observations
- 6.SP.B.5bDescribing the nature of the attribute under investigation, including how it was measured and its units of measurement
- 6.SP.B.5cGiving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered
- 6.SP.B.5dRelating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered
Standards: Delaware Common Core. Official source ↗
Delaware Grade 6 math: useful study questions
Is the lowest package price always the lowest unit price?
No. Divide each price by its quantity and compare the same units. Package totals alone do not account for how many pencils each contains.
Is Grade 6 included in Delaware Smarter Balanced math testing?
Yes. Grade 6 is within Delaware’s Smarter Balanced range of Grades 3–8. The linked activities are independently published practice with separate directions and scoring.
Grade 6 Math in Other States
Explore Grade 6 math standards, practice tests, and worksheets for every state.
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- District of Columbia
Make This Your Delaware Smarter Balanced Starting Point
Take a timed practice test, find your weakest topic, and study it with the linked lessons, worksheets, and the Smarter Balanced study guide.
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Delaware Grade 6 Math: study questions
Is the lowest package price always the lowest unit price?
No. Divide each price by its quantity and compare the same units. Package totals alone do not account for how many pencils each contains.
Is Grade 6 included in Delaware Smarter Balanced math testing?
Yes. Grade 6 is within Delaware’s Smarter Balanced range of Grades 3–8. The linked activities are independently published practice with separate directions and scoring.
Official source ↗Resources from Effortless Math · Editorial standards