InequalitiesSolving works like an equation, with one rule that catchesโ€ฆ6th GradeSolve an inequality exactly like an equation โ€”except that multiplying or dividing by anegative flips the direction of the sign.โˆ’2x > 8 โ†’ x < โˆ’4x + 3 > 7x > 4Adding and subtracting never flip the sign.3x โ‰ค 12x โ‰ค 4Dividing by a positive does not flip it either.โˆ’2x > 8x < โˆ’4Divided by a negative, so the sign flipped.Graphing itopen or closed circle< and > get an open circle; โ‰ค and โ‰ฅ get a filled one.THE COMMON MISTAKEโœ— โˆ’2x > 8 โ†’ x > โˆ’4โœ“ โˆ’2x > 8 โ†’ x < โˆ’4Multiplying or dividing by a negative reverses the order of every number, so the sign must flip.Test your answer with an actual number. Put x = โˆ’5 into โˆ’2x > 8 andcheck it works.Inequalitieslittleactivity.com

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Math ยท 6th Grade

Inequalities

Solving works like an equation, with one rule that catches everyone out.

How to use it

Circle the inequality sign before you start. You need to watch it.

Free ยท print-ready PDF ยท US Letter and A4

Grade
6th Grade
Ages
11โ€“12
Subject
Math
Pages
1

The rest of the 6th Grade wall

49 more posters, all free to print.

Adding IntegersSame signs add, different signs subtract โ€” and the sign follows the bigger one.Subtracting IntegersEvery subtraction is an addition wearing a disguise.Multiplying and Dividing IntegersCount the minus signs. Even means positive, odd means negative.Absolute ValueDistance from zero โ€” which is never negative, however negative the number is.RatiosPart to part, or part to whole โ€” and why mixing them up changes the answer.Unit RateHow much for exactly one โ€” the number that makes any two deals comparable.Percent of a NumberTwo reliable methods, and the benchmarks worth doing in your head.The Three Percent QuestionsFind the part, find the percent, or find the whole โ€” one setup handles all three.Algebra VocabularyTerm, coefficient, constant, variable โ€” the four words every question assumes.Combining Like TermsOnly terms with identical variable parts can be added together.The Distributive PropertyMultiply everything inside the bracket โ€” including the term you keep forgetting.One-Step EquationsDo the opposite operation, to both sides, and the letter is left alone.The MeanThe number every value would be if the total were shared out equally.Median, Mode and RangeThree more ways to summarise data, and when each is the right one.The NucleusThe control centre of the cell.The Cell MembraneA flexible outer layer that decides what gets into the cell and what leaves it.MitochondriaWhere respiration happens โ€” sugar and oxygen are turned into usable energy.ChloroplastsWhere photosynthesis happens โ€” sunlight, water and carbon dioxide become glucose.The Cell WallA rigid outer layer of cellulose that gives the plant cell its shape and strength.The VacuoleA storage space holding water, food and waste.Cytoplasm and RibosomesThe jelly filling the cell, and the tiny machines suspended in it that build proteins.SimileA comparison of two unlike things using the words 'like' or 'as'.MetaphorA comparison that says one thing IS another, with no 'like' or 'as'.PersonificationGiving human qualities or actions to something that is not human.HyperboleDeliberate, obvious exaggeration for effectOnomatopoeiaA word that imitates the sound it describes.AlliterationThe same opening consonant sound repeated in words close together.IdiomA fixed phrase whose meaning cannot be worked out from the words in it.ImageryDescriptive language that appeals directly to the five senses.Integer Rules SummaryAll four operations with negatives on one sheet, with a number line to check against.Ratios, Rates & PercentRatio, unit rate and percent as three views of the same relationship.Area, Surface Area & VolumeNets, surface area and volume formulas for the solids they will be tested on.Expressions & EquationsVocabulary, the properties, combining like terms and the balance rule.Figurative Language SummaryEight devices with an example line each.Comma & Punctuation RulesThe eight comma rules, semicolons, colons and apostrophes โ€” each with an example.Plant & Animal CellsBoth cells labelled side by side, with what each organelle does.The Scientific MethodThe six steps plus the variable vocabulary that trips people up.All Four QuadrantsNegative coordinates, and which signs go where.Order of Operations with ExponentsPEMDAS once powers are in the mix.Dot Plots and HistogramsTwo graphs that look similar and answer different questions.PhotosynthesisHow a plant makes its own food, and what it needs to do it.Classifying Living ThingsThe levels biologists use, from kingdom down to species.Building an ArgumentClaim, evidence, reasoning โ€” plus the counterclaim that separates good from average.Tone and MoodThe writer's attitude, and the reader's feeling. Two different things.Central IdeaWhat a whole text is about โ€” and how it differs from a topic.Allusions Worth KnowingSix references that turn up constantly in books, films and headlines.Ancient River CivilisationsFour civilisations, and the one thing they all had in common.Converting Units with RatesMultiply by a fraction equal to 1 and the units cancel themselves.Supply and DemandWhy prices move, explained without a single graph.

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