EDSTARAnalytics Deep Dive 5

Educational adventures for curious kids

Grade 6

6th Grade Math

These lessons follow the North Carolina Standard Course of Study for 6th grade. Every one of them explains why the step works before it asks you to do the step. About 25 minutes each, made to work through at home with a parent or a tutor.

13 units, 77 lessons 1 of 77 lessons ready

The 6th grade map

The whole year, in order, with every lesson in its place. Find the topic your class is on and start there. Lessons marked Coming soon are on the way, and a lesson becomes a link the day it is ready.

Unit 1: Ratios and Rates

6 lessons

  1. 1What a Ratio Really SaysComparing two amounts by multiplying, not by taking awayNC.6.RP.1Coming soon
  2. 2Two Ways to Draw a RatioTape diagrams and double number lines for one ratioNC.6.RP.1Coming soon
  3. 3Both Ways to Say PerFinding and reading both unit ratios in a situationNC.6.RP.2Coming soon
  4. 4Same Mixture, Different SizeBuilding a ratio table, filling the gaps, and comparing two ratiosNC.6.RP.3Coming soon
  5. 5Get It Down to OneSolving a ratio problem by finding the amount for oneNC.6.RP.3Coming soon
  6. 6One Unit Into AnotherChanging a measurement using a ratio you are givenNC.6.RP.3Coming soon

Unit 2: Percent

5 lessons

  1. 1Percent Means Per HundredReading 40 percent as 40 out of every 100NC.6.RP.4Coming soon
  2. 2Benchmark PercentsFinding 50, 25, 10, 5, and 1 percent in your headNC.6.RP.4Coming soon
  3. 3A Percent of Any AmountFinding the part when you know the whole and the percentNC.6.RP.4Coming soon
  4. 4Working Back to the WholeFinding the whole when you know a part and the percentNC.6.RP.4Coming soon
  5. 5Does That Percent Make Sense?Checking a percent answer with a benchmark estimateNC.6.RP.4Coming soon

Unit 3: Factors, Multiples, and Dividing Fractions

8 lessons, 1 ready

  1. 1Every Number Has One RecipeBreaking a whole number into primes, and why there is only one wayNC.6.NS.4Coming soon
  2. 2Greatest Common Factor and Least Common MultipleLine up the primes, circle the pairs, and read off both answersNC.6.NS.4Lesson 2
  3. 3The Factor They Both HaveRewriting 36 plus 48 as 12 groups of 3 plus 4NC.6.NS.4Coming soon
  4. 4Why Fractions Need Matching PiecesUsing a common multiple to add and subtract unlike fractionsNC.6.NS.4Coming soon
  5. 5How Many Fit InsideDivision as a how many of these fit questionNC.6.NS.1Coming soon
  6. 6Same-Size PiecesDividing fractions by giving them a common denominatorNC.6.NS.1Coming soon
  7. 7Why Flipping WorksWhere invert and multiply comes fromNC.6.NS.1Coming soon
  8. 8Fraction Division StoriesDeciding which amount gets divided by whichNC.6.NS.1Coming soon

Unit 4: Long Division and Decimals

6 lessons

  1. 1Lining Up Like UnitsAdding and subtracting decimals, and why the points line upNC.6.NS.3Coming soon
  2. 2Counting the Decimal PiecesMultiplying decimals, and why the decimal places add upNC.6.NS.3Coming soon
  3. 3Long Division That Makes SenseDividing a four digit number, one place value at a timeNC.6.NS.2Coming soon
  4. 4What's Left OverDeciding what a remainder means inside the storyNC.6.NS.2Coming soon
  5. 5Sharing Into DecimalsDividing a decimal by a whole number, and carrying on past the endNC.6.NS.3Coming soon
  6. 6Making the Divisor WholeDividing by a decimal, without moving any pointsNC.6.NS.3Coming soon

Unit 5: Positive and Negative Numbers

6 lessons

  1. 1Numbers That Go Both WaysWhy there is a below zero, and what zero means each timeNC.6.NS.5Coming soon
  2. 2Opposites Across ZeroFlipping a number to the other side of zero, twiceNC.6.NS.6Coming soon
  3. 3A Number's Home on the LinePlacing fractions, decimals, and negatives on a line, flat or uprightNC.6.NS.6Coming soon
  4. 4Which One Is LessWriting and explaining why negative 3 is less than negative 1NC.6.NS.7Coming soon
  5. 5How Far from ZeroAbsolute value as a distance, not a way to delete a minus signNC.6.NS.5Coming soon
  6. 6A Bigger Debt Is a Smaller NumberTelling a size comparison apart from an order comparisonNC.6.NS.5, NC.6.NS.7Coming soon

Unit 6: Adding and Subtracting with Negatives

5 lessons

  1. 1Opposites That CancelFinding the amounts in a situation that make zeroNC.6.NS.9Coming soon
  2. 2Adding Is Taking a StepReading p plus q as start at p, then step qNC.6.NS.9Coming soon
  3. 3Subtracting Is Adding the OppositeWhy keep change flip worksNC.6.NS.9Coming soon
  4. 4The Gap Between Two NumbersFinding a distance with absolute valueNC.6.NS.9Coming soon
  5. 5Rises, Falls, and Yards LostDescribing real changes with sums and differencesNC.6.NS.9Coming soon

Unit 7: The Coordinate Plane

6 lessons

  1. 1Four Quadrants, Four Sign PairsUsing the two signs to know which region a point is inNC.6.NS.6Coming soon
  2. 2Plotting Any PairPlotting points whose coordinates are fractions or decimalsNC.6.NS.6Coming soon
  3. 3Mirror PointsChanging a sign to flip a point across an axisNC.6.NS.6Coming soon
  4. 4Distance Without Counting SquaresFinding the distance between points in the same row or columnNC.6.NS.8Coming soon
  5. 5Shapes from a List of PointsDrawing a polygon from its corners and reading its side lengthsNC.6.G.3, NC.6.NS.8Coming soon
  6. 6Ratio Tables on the GridPlotting the rows of a ratio table and seeing the patternNC.6.RP.3Coming soon

Unit 8: Expressions

7 lessons

  1. 1How Many Times Did You Multiply?Reading an exponent as a count of factorsNC.6.EE.1Coming soon
  2. 2Which Part Goes FirstWriting and working out expressions, with and without grouping symbolsNC.6.EE.1Coming soon
  3. 3Letters That Stand for NumbersWriting an expression for a number you do not know yetNC.6.EE.2Coming soon
  4. 4Seeing a Chunk as One ThingTreating a whole piece like 3 times the quantity x plus 2 as one objectNC.6.EE.2Coming soon
  5. 5Putting a Number InWorking out an expression, and a real formula, at given valuesNC.6.EE.2Coming soon
  6. 6Moves That Keep the Amount the SameRewriting an expression without changing what it is worthNC.6.EE.3Coming soon
  7. 7Same for Every NumberDeciding whether two expressions are equivalent, and proving itNC.6.EE.4Coming soon

Unit 9: Equations and Inequalities

7 lessons

  1. 1Does It Make It True?Testing numbers from a list to see which one solves an equationNC.6.EE.5Coming soon
  2. 2From Story to EquationNaming the unknown, then writing what the story does to itNC.6.EE.6Coming soon
  3. 3Undoing an AdditionSolving x plus p equals q, and why both sides change togetherNC.6.EE.7Coming soon
  4. 4Undoing a MultiplicationSolving p times x equals q by sharing outNC.6.EE.7Coming soon
  5. 5Many Answers at OnceTesting numbers in an inequality and finding they never run outNC.6.EE.8Coming soon
  6. 6Writing Down a LimitTurning a rule like more than 12 into x is greater than 12NC.6.EE.8Coming soon
  7. 7Drawing the Whole AnswerShowing an inequality's solutions on a number lineNC.6.EE.8Coming soon

Unit 10: Two Quantities That Change Together

5 lessons

  1. 1One You Pick, One That FollowsTelling the quantity you choose from the one that answers backNC.6.EE.9Coming soon
  2. 2Writing the RuleWriting an equation that links two changing quantitiesNC.6.EE.9Coming soon
  3. 3The Rule as a TableMaking a table of values from the ruleNC.6.EE.9Coming soon
  4. 4The Rule as a PicturePlotting the table and reading the patternNC.6.EE.9Coming soon
  5. 5Four Views of One SituationMatching a story, an equation, a table, and a graphNC.6.EE.9Coming soon

Unit 11: Area, Surface Area, and Volume

6 lessons

  1. 1Why a Triangle Is Half a RectangleWhere half of base times height comes fromNC.6.G.1Coming soon
  2. 2Triangles That LeanFinding the area of a slanted or obtuse triangleNC.6.G.1Coming soon
  3. 3Cutting Up Any PolygonParallelograms, trapezoids, and odd shapes, cut into pieces you knowNC.6.G.1Coming soon
  4. 4Filling a Box with Fraction CubesVolume of a box with fraction edge lengthsNC.6.G.2Coming soon
  5. 5Unfolding a BoxNets of right prisms, and adding up the facesNC.6.G.4Coming soon
  6. 6Unfolding a PyramidNets of right pyramids, and which height goes in the triangleNC.6.G.4Coming soon

Unit 12: Asking Questions with Data

5 lessons

  1. 1Questions That Expect Many AnswersTelling a statistical question from an ordinary oneNC.6.SP.1Coming soon
  2. 2Every Value Gets a DotBuilding a dot plot, and counting the observationsNC.6.SP.4, NC.6.SP.5Coming soon
  3. 3Putting Values in BinsBuilding a histogram, and what it keeps and hidesNC.6.SP.4, NC.6.SP.5Coming soon
  4. 4Center, Spread, and ShapeDescribing a whole distribution in three wordsNC.6.SP.2Coming soon
  5. 5Say What You MeasuredReporting the attribute, how it was measured, the units, and how manyNC.6.SP.5Coming soon

Unit 13: Center, Spread, and the Story

5 lessons

  1. 1The Mean as Fair ShareThe mean as the fair share and the balance pointNC.6.SP.3Coming soon
  2. 2The Median Is the MiddleThe middle value of an ordered data setNC.6.SP.3Coming soon
  3. 3Which Middle Should You Trust?Letting the shape of the data choose the measure of centerNC.6.SP.5Coming soon
  4. 4Cutting the Data into Four PartsBuilding a box plot, and comparing two sets with the same middleNC.6.SP.3, NC.6.SP.4Coming soon
  5. 5Telling the Story of the DataGiving the center, describing the spread, and naming what sticks outNC.6.SP.5Coming soon

Standards: North Carolina Standard Course of Study, Grade 6 Mathematics. Each lesson lists its codes in full (for example NC.6.RP.1).