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10th Grade learning posters

Geometry, Algebra 2, Chemistry and the first real test prep.

Ages 15โ€“16 ยท 50 posters

  • Trigonometry
  • Polynomials
  • Bonding
  • The mole
  • Test strategy

All 50 posters

Tap any one to preview it in full and print it free.

  • Literacy ยท 5
  • Math ยท 27
  • Science ยท 14
  • Social Studies ยท 1
  • Life Skills ยท 3
Rhetorical AnalysisEthos, pathos, logos, the SOAPSTone frame and the analysisโ€ฆ10th GradeTHE THREE APPEALSETHOSCredibilityQualifications, fairness, shared values, careful tone.PATHOSEmotionStory, vivid image, loaded diction, appeal to fear or hope.LOGOSLogicData, cause and effect, concession, structured reasoning.SOAPSTone โ€” read the text before you judge itSSpeakerWho is talking, and what do they want?OOccasionWhat moment prompted this?AAudienceWho is meant to hear it?PPurposeWhat should the audience do or believe?SSubjectIn one sentence.ToneAttitudeNamed with a precise adjective, not โ€œnegativeโ€.ANALYSIS SENTENCEBy [device], the writer [verb: undercuts, magnifies, reassures] theaudience, so that [effect on their belief or feeling].Rhetorical Analysislittleactivity.com
Literacy

Rhetorical Analysis

SAT Word RootsThirty-six high-yield roots for standardised-test vocabulary.10th GradeOne root unlocks a dozen words. Learn the root, then collect the family.acrsharp, bitteracrid, acrimonyali / alterotheralias, alternativebelliwarbelligerent, rebelcandglowing, whitecandid, incandescentcarnfleshcarnivore, incarnatecir / circumaroundcircumventclamshoutclamour, proclaimculpblameculprit, culpabledignworthydignity, indignantdoc / doctteachdoctrine, indoctrinatedurhard, lastingendure, durableegoselfegotist, egocentricerrwandererratic, erroneouseugood, welleuphoria, eulogyfall / falsdeceivefallacy, falsifygratpleasinggratitude, ingratiategregherd, groupgregarious, segregateheterodifferentheterogeneoushomosamehomogeneous, homonymjectthrowconjecture, dejectedlaudpraiselaudable, laudatoryloqu / locuspeakeloquent, loquaciousluclightelucidate, lucidmutchangemutation, immutablenegdenynegate, renegepacpeacepacify, pacifistple / plenfullreplete, plenaryprobtest, proveprobity, reprobatepunctpointpunctual, punctuatequer / quisask, seekquery, inquisitivesanctholysanctuary, sanctifysomnsleepinsomnia, somnolenttac / ticsilenttaciturn, reticentten / tainholdtenacious, retainven / ventcomeconvene, intervenevoreat greedilyvoracious, carnivoreON A TESTSplit the unknown word, translate each part, then check it against the sentence.SAT Word Rootslittleactivity.com
Literacy

SAT Word Roots

The Rhetorical Analysis ParagraphThe shape of a paragraph that analyses persuasion rather thanโ€ฆ10th GradeRhetorical analysis explains HOW a text persuades, not what it says.1IDENTIFY THE CHOICEA specific device, word or structural decision.2QUOTE ITShort and embedded in your own sentence.3NAME THE APPEALEthos, pathos or logos โ€” and be specific about which.4EXPLAIN THE EFFECTWhat does the audience now feel, believe or do?5LINK TO PURPOSEHow does this serve what the writer is trying to achieve?The effect on the audience is where the marks are. Naming the deviceearns almost nothing on its own.The Rhetorical Analysis Paragraphlittleactivity.com
Literacy

The Rhetorical Analysis Paragraph

SatireRidicule aimed at a target, and the two traditions it comesโ€ฆ10th GradeHORATIANGentle, playful mockeryAims to amuse while nudgingSympathetic to human follyLight toneMost modern comedy sketchesJUVENALIANBitter, savage attackAims to provoke outrageContemptuous of its targetDark toneSwift's A Modest ProposalTHE DIFFERENCE THAT MATTERSBoth use irony and exaggeration. The difference is whether thewriter is smiling or furious.Satire always has a target. Without one it is just humour.Satirelittleactivity.com
Literacy

Satire

Logical FallaciesEight bad arguments that sound convincing until you name them.10th GradeA fallacy is an argument that fails logically even when it feels persuasive.FallacyWhat it doesAd hominemattacks the person, not the argumentStraw manattacks a weakened version of the claimFalse dilemmapresents two options when more existSlippery slopeassumes one step leads inevitably to disasterAppeal to authoritycites someone unqualified on this topicBandwagonclaims it is true because it is popularCircular reasoningassumes what it is trying to proveHasty generalisationdraws a broad rule from too few casesA fallacious argument can still reach a true conclusion. Badreasoning does not make a claim false.Logical Fallacieslittleactivity.com
Literacy

Logical Fallacies

Completing the SquareTurning any quadratic into vertex form โ€” and where theโ€ฆ10th GradeAdd and subtract (b/2)ยฒ to turn xยฒ + bx into aperfect square, leaving the equation unchangedin value.xยฒ + bx + (b/2)ยฒ = (x + b/2)ยฒxยฒ + 6x(x+3)ยฒ โˆ’ 9Half of 6 is 3; 3ยฒ is 9.xยฒ + 6x + 5 = 0(x+3)ยฒ = 4x = โˆ’1 or โˆ’5.xยฒ โˆ’ 8x + 3(xโˆ’4)ยฒ โˆ’ 13Half of โˆ’8 is โˆ’4.2xยฒ + 8x + 1factor out the 2 first2(xยฒ + 4x) + 1, then complete inside.THE COMMON MISTAKEโœ— adding (b/2)ยฒ without subtracting itโœ“ add AND subtract itAdding alone changes the expression's value. It must net to zero.Applying this to axยฒ + bx + c = 0 in general produces the quadraticformula. That is where it comes from.Completing the Squarelittleactivity.com
Math

Completing the Square

Vertex FormThe form that hands you the graph without any working at all.10th GradeIn y = a(x โˆ’ h)ยฒ + k, the vertex is at (h, k)and a controls the direction and width.y = a(x โˆ’ h)ยฒ + k โ†’ vertex (h, k)y = (x โˆ’ 3)ยฒ + 2vertex (3, 2)The minus in the form means h is +3.y = (x + 4)ยฒ โˆ’ 1vertex (โˆ’4, โˆ’1)x + 4 is x โˆ’ (โˆ’4), so h = โˆ’4.a > 0opens up, minimumThe vertex is the lowest point.a < 0opens down, maximumThe vertex is the highest point.THE COMMON MISTAKEโœ— y = (x + 4)ยฒ has vertex (4, 0)โœ“ vertex is (โˆ’4, 0)The form is x โˆ’ h. To get x + 4, h must be โˆ’4.Standard form gives you c, the y-intercept. Vertex form gives youthe vertex. Convert to whichever you need.Vertex Formlittleactivity.com
Math

Vertex Form

End Behaviour of PolynomialsWhat the graph does at the far left and far right, from twoโ€ฆ10th GradeThe degree tells you whether the ends match;the leading coefficient tells you which waythe right end goes.even degree โ†’ ends match ยท odd โ†’ ends differEven degree, a > 0both ends upLike xยฒ.Even degree, a < 0both ends downLike โˆ’xยฒ.Odd degree, a > 0down left, up rightLike xยณ.Odd degree, a < 0up left, down rightLike โˆ’xยณ.A degree-n polynomial has at most n roots and at most n โˆ’ 1 turningpoints.End Behaviour of Polynomialslittleactivity.com
Math

End Behaviour of Polynomials

Sum and Difference of CubesTwo patterns worth memorising, and the sign rule that keepsโ€ฆ10th GradeBoth a sum and a difference of cubes factor.The signs follow a fixed pattern.aยณ ยฑ bยณ = (a ยฑ b)(aยฒ โˆ“ ab + bยฒ)xยณ + 8(x+2)(xยฒ โˆ’ 2x + 4)8 = 2ยณ.xยณ โˆ’ 27(xโˆ’3)(xยฒ + 3x + 9)27 = 3ยณ.8xยณ + 125(2x+5)(4xยฒ โˆ’ 10x + 25)8xยณ = (2x)ยณ.SignsSame, Opposite, Always PositiveFirst bracket same as the original, then opposite, then plus.THE COMMON MISTAKEโœ— xยณ + 8 = (x+2)(x+2)(x+2)โœ“ (x+2)(xยฒ โˆ’ 2x + 4)Expand the wrong version and the middle terms do not cancel.Unlike squares, a SUM of cubes does factor. That asymmetry catchespeople out.Sum and Difference of Cubeslittleactivity.com
Math

Sum and Difference of Cubes

9 of 50 shown

10th Grade posters โ€” questions

What do the 10th Grade posters cover?

Completing the Square, Vertex Form, End Behaviour of Polynomials, Sum and Difference of Cubes, Rational Expressions, Complex Numbers, Logarithms, SOH-CAH-TOA, The Special Triangles, The Unit Circle, Circle Theorems, Coordinate Proofs, The Equation of a Circle, Ionic Bonding, Covalent Bonding, Balancing Equations, The Five Reaction Types, The Mole, Acids and Bases, The Gas Laws, Quadratics & Polynomials, Right-Triangle Trig, Coordinate Geometry, Function Transformations, Rhetorical Analysis, SAT Word Roots, Bonding & Reactions, US Government & Civics, Sine and Cosine Rules, Sequences and Series, Systems with Three Variables, Permutations and Combinations, The Normal Distribution, Electron Configuration, Why the Trends Happen, Limiting Reactants, The Rhetorical Analysis Paragraph, Satire, Standardised Test Strategy, Interest, Debt and Compounding, Writing a Personal Statement, Radical Equations, Inverse Functions, Piecewise Functions, Volume and Surface Area of Solids, Angles in Polygons, Energy in Reactions, Solutions and Concentration, Carbon Compounds, Logical Fallacies. Together they cover trigonometry, polynomials, bonding, the mole, test strategy โ€” the reference knowledge 10th Grade keeps asking a child to recall.

Are the 10th Grade posters free?

Yes. Every poster on this page can be previewed in full and downloaded as a print-ready PDF for free. The $7.99 option simply bundles all 50 into one PDF so you print once rather than downloading them one at a time.

How should I use a poster once it is printed?

Hang it where the work happens, then refer to it out loud. A poster that gets pointed at during homework teaches; a poster nobody mentions is wallpaper. Each poster on this page carries a one-line suggestion for exactly that.

Is my child too old or too young for the 10th Grade set?

Mix freely. These are individual reference sheets, not a sequence โ€” a child who is ahead in reading and behind in maths can take the poster they need from either grade without any awkwardness.

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