Grade 10–11 age 15–17

What your child practises here in Grade 10–11, with a real lesson and question from each subject.

Grade 10–⁠11 math here is exponents, factoring, quadratics, functions and Pythagoras. Not here yet: data and statistics, probability, money and financial literacy, among others. When your child has learned these, the level moves up. Use it alongside what the school sends home. See the detail

  • A short lesson first
  • Worksheets of 20 to 25 questions, in rounds of 5 or 6
  • Learned means 3 in 4 right, on two different days

Math

Exponents and roots, factoring, quadratic equations, functions, Pythagoras.

From the lesson · Solving a quadratic

Solve: x² − x − 6 = 0

-8-8-6-6-4-4-2-222446688
  1. Factorise first. Two numbers multiplying to −6 and adding to −1: that is −3 and 2, so it is (x − 3)(x + 2) = 0.
  2. A product is zero only if one of the parts is zero, so either x − 3 = 0 or x + 2 = 0.
  3. Solve each: x − 3 = 0 gives x = 3, and x + 2 = 0 gives x = −2. Notice both signs turned over.

Answer: x = −2 or x = 3

Then questions like this one

Where does the curve cross the x-axis?

-8-8-6-6-4-4-2-222446688A−2 and 3B2 and −3C−2 and −3D1 and 6

What Grade 10–11 math practises here

  • Exponents & rootsexponent rules, square roots and scientific notation
  • Factoringfactoring quadratic expressions and common factors
  • Quadratic equationssolving quadratics by factoring and the quadratic formula
  • Functionsfunction notation, domain and range, evaluating functions
  • Geometry & Pythagorasangle rules, the Pythagorean theorem, area and volume
  • Transformationstranslating, reflecting and scaling shapes and graphs

Not here yet

Data and statistics, probability, money and financial literacy.

Most schools teach these this year too. Until they are here, use what your school sends home for them.

English

Arguments, rhetorical devices, and spotting faulty reasoning.

From the lesson · Rhetorical devices

A leaflet opens by naming the professor who wrote it, then makes its case. This appeals to:

  1. Ask first whether this is aimed at your feelings. It is not, so pathos is out.
  2. Now the short question: is the persuading done by who is saying it, or by what is shown?
  3. No figures have been given at all. What has been offered is a reason to trust the writer.

Answer: ethos

Then questions like this one

An advert quotes a doctor to build trust. This appeals to:

AethosBpathosClogosDirony

What Grade 10–11 English practises here

  • Argument & claimidentifying a claim and the evidence offered for it
  • Rhetorical devicesethos, pathos, logos and rhetorical questions
  • Faulty reasoningspotting common logical fallacies in an argument
  • Comparing textscomparing viewpoint and technique across two passages
  • Complex comprehensiondense passages with layered or implied meaning

AI literacy

Where bias comes from, how computers see, using AI responsibly.

From the lesson · Where bias comes from

A model that predicts which students will do well in maths was trained on past teachers' predictions, which often underrated girls. Where does its bias come from, and what could help?

  1. The answers it learned from were teachers' guesses, not real results, and those guesses underrated girls.
  2. Those are biased labels, so the model copies the teachers' unfairness.
  3. To help: train on real results, such as test scores, and check its accuracy for each group.

Answer: biased labels from teachers' guesses; use real results and check each group

Then questions like this one

A hiring model learned from ten years of past decisions in which managers mostly chose men. Where does its bias come from?

Athe model decided by itself to prefer menBhistorical dataCa sum the computer got wrongDtoo few rounds of training

What Grade 10–11 AI literacy practises here

  • Where bias comes fromsources of bias in AI (unrepresentative samples, biased labels, historical data, how a goal is defined) and ways to reduce each
  • How models improvelearning as repeatedly reducing error: measure how wrong the model is, adjust it a little in the direction that helps, repeat, like walking downhill in fog
  • How computers seean image as a grid of numbers (pixels), and how a vision model builds up from edges to shapes to whole objects
  • Using AI responsiblyhonest use of AI in schoolwork (following the rules, saying when AI was used, doing your own thinking) and situations where AI should not be relied on
  • AI & societyweighing AI's effects on work, energy and the environment, accessibility and safety, with benefits and risks considered together

Not sure Grade 10–11 is right?

Each grade here practises the main topic most schools teach that year. It is not everything your child's school covers. Grades are a guide, not any province's program, so a short warm-up checks your child's level first, in each subject: a child can be in one grade for English and another for math. The level moves up as they learn.

Five questions, right now

Grade 10–11 math, English or AI literacy. No sign-up, nothing saved.