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Educational adventures for curious kids

Grade 7

7th Grade Math

These lessons follow the North Carolina Standard Course of Study for 7th grade math. Each lesson takes about 25 minutes, and is made to work through at home with a parent or tutor.

9 units, 63 lessons 28 of 63 lessons ready

The 7th grade map

The nine units of the year, in order, with every lesson in its place. Lessons marked Coming soon are on the way; a lesson becomes a link the day it is ready.

Unit 1: Proportional Relationships

8 lessons, 8 ready

  1. 1Rates with FractionsFinding a unit rate when the amounts are fractionsNC.7.RP.1Lesson 1
  2. 2What Makes It ProportionalChecking tables and graphs for the same multiplierNC.7.RP.2Lesson 2
  3. 3The Unit RateThe unit rate is the constant of proportionalityNC.7.RP.2Lesson 3
  4. 4Proportional GraphsA straight line through zeroNC.7.RP.2Lesson 4
  5. 5Writing y = rxTurning the unit rate into an equationNC.7.RP.2Lesson 5
  6. 6What a Point MeansReading any point, plus (0, 0) and (1, r)NC.7.RP.2Lesson 6
  7. 7Converting RatesChanging both units in a rateNC.7.RP.3Lesson 7
  8. 8Unit Rate ProblemsSolving real problems with the unit rateNC.7.RP.3Lesson 8

Unit 2: Percent

7 lessons, 7 ready

  1. 1What Percent MeansPercent means out of 100NC.7.RP.3, NC.7.EE.3Lesson 1
  2. 2Part, Whole, and PercentFinding the missing pieceNC.7.RP.3Lesson 2
  3. 3Tax, Tips, and FeesTax, tips, commission, and feesNC.7.RP.3Lesson 3
  4. 4Sales and MarkupsDiscounts, sales, markups, and markdownsNC.7.RP.3Lesson 4
  5. 5Percent Increase and DecreaseHow much it grew or shrank, compared to the startNC.7.RP.3Lesson 5
  6. 6More Than One ChangeTax, then tip, one step at a timeNC.7.RP.3, NC.7.EE.3Lesson 6
  7. 7Circle GraphsReading percents from a pieNC.7.RP.3Lesson 7

Unit 3: Operations with Rational Numbers

7 lessons, 7 ready

  1. 1Adding Signed NumbersAdding positive and negative numbersNC.7.NS.1Lesson 1
  2. 2Subtracting Signed NumbersSubtracting means adding the oppositeNC.7.NS.1Lesson 2
  3. 3Signed Fractions and DecimalsAdding and subtracting fractions and decimals with signsNC.7.NS.1Lesson 3
  4. 4Multiplying Signed NumbersMultiplying with negative numbersNC.7.NS.2Lesson 4
  5. 5Dividing Signed NumbersDividing with negatives, and what a rational number isNC.7.NS.2Lesson 5
  6. 6Fractions to DecimalsLong division: the decimal stops or repeatsNC.7.NS.2Lesson 6
  7. 7Rational Number ProblemsReal problems with all four operationsNC.7.NS.3Lesson 7

Unit 4: Expressions

6 lessons, 6 ready

  1. 1Hand It Out, Take It BackProperties, like terms, and simplifyingNC.7.EE.1, NC.7.EE.2, NC.7.NS.1, NC.7.NS.2Lesson 1
  2. 2Combining Like TermsPutting matching pieces togetherNC.7.EE.1Lesson 2
  3. 3ExpandingUsing the distributive propertyNC.7.EE.1Lesson 3
  4. 4Factoring Out the GCFPulling out the greatest common factorNC.7.EE.1Lesson 4
  5. 5Fraction and Decimal CoefficientsExpressions with fractions and decimals in frontNC.7.EE.1Lesson 5
  6. 6Equivalent ExpressionsThe same story told two waysNC.7.EE.2Lesson 6

Unit 5: Equations and Inequalities

8 lessons

  1. 1Two-Step EquationsAn equation is a balanceNC.7.EE.4Coming soon
  2. 2Arithmetic Way, Algebra WaySame steps, two ways to write themNC.7.EE.4Coming soon
  3. 3Equations with ParenthesesDistribute first, then solveNC.7.EE.4Coming soon
  4. 4Writing EquationsFrom a word problem to an equation, and checking the answerNC.7.EE.4Coming soon
  5. 5Multi-Step ProblemsNumbers in any form, and estimating to checkNC.7.EE.3Coming soon
  6. 6What an Inequality MeansMany answers, and how to graph themNC.7.EE.4Coming soon
  7. 7Solving InequalitiesWhy multiplying by a negative flips the signNC.7.EE.4Coming soon
  8. 8Inequality Word ProblemsAt most, at least, and what the answer meansNC.7.EE.4Coming soon

Unit 6: Scale and Circles

6 lessons

  1. 1Scale DrawingsSame angles, proportional sidesNC.7.G.1Coming soon
  2. 2Real Lengths and AreasUsing the scale on a map or blueprintNC.7.G.1Coming soon
  3. 3Redrawing at a New ScaleMaking a scale drawing bigger or smallerNC.7.G.1Coming soon
  4. 4Circumference and PiPi is the circle's unit rateNC.7.G.4, NC.7.RP.2Coming soon
  5. 5Area of a CircleCut it into wedges and make a rectangleNC.7.G.4Coming soon
  6. 6Circle ProblemsRadius, diameter, circumference, and area in real problemsNC.7.G.4Coming soon

Unit 7: Angles, Triangles, Area, and Solids

9 lessons

  1. 1Angle PairsSupplementary, complementary, vertical, and adjacentNC.7.G.5Coming soon
  2. 2Finding Unknown AnglesWriting and solving an equation for a missing angleNC.7.G.5, NC.7.EE.4Coming soon
  3. 3Making TrianglesWhich three sides make a triangle, and acute, right, or obtuseNC.7.G.2Coming soon
  4. 4One, Many, or NoneWhen the measures make one triangle, many, or noneNC.7.G.2Coming soon
  5. 5Composite ShapesArea and perimeter of shapes made of piecesNC.7.G.6Coming soon
  6. 6Volume of PrismsBase area times heightNC.7.G.6Coming soon
  7. 7Volume of PyramidsOne third of the prismNC.7.G.6Coming soon
  8. 8Surface AreaUnfolding prisms and pyramidsNC.7.G.6Coming soon
  9. 9Composite SolidsShapes built from cubes, prisms, and pyramidsNC.7.G.6Coming soon

Unit 8: Sampling and Comparing Groups

6 lessons

  1. 1Samples and PopulationsA fair sample can speak for the whole groupNC.7.SP.1Coming soon
  2. 2Many SamplesHow much predictions vary from sample to sampleNC.7.SP.2Coming soon
  3. 3Mean and MADThe mean and the mean absolute deviationNC.7.SP.3Coming soon
  4. 4Median, Range, and IQRThe middle and the spread of the middle halfNC.7.SP.3Coming soon
  5. 5Comparing by OverlapHow much two groups overlapNC.7.SP.3Coming soon
  6. 6Comparing Two PopulationsUsing center and spread to compareNC.7.SP.4Coming soon

Unit 9: Probability

6 lessons

  1. 1Chance from 0 to 1Impossible, likely, certainNC.7.SP.5Coming soon
  2. 2Experimental ProbabilityTry it and countNC.7.SP.6Coming soon
  3. 3Equally Likely OutcomesProbability models when every outcome has the same chanceNC.7.SP.7Coming soon
  4. 4Models from DataWhen theory and results disagreeNC.7.SP.7Coming soon
  5. 5Compound EventsLists, tables, and tree diagramsNC.7.SP.8Coming soon
  6. 6SimulationsActing it out to estimate a probabilityNC.7.SP.8Coming soon

Standards: North Carolina Standard Course of Study, Grade 7 Mathematics. Each lesson lists its codes in full (for example NC.7.RP.1).