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Short Topic Summaries

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01Number SenseWork confidently with integers, fractions, decimals, percentages, ratios, powers, and scientific notation.

Remember these rules

  • Use order of operations: brackets, exponents, multiplication or division, then addition or subtraction.
  • Convert between fractions, decimals, and percentages before comparing quantities.
  • A percent change is the change divided by the original amount, multiplied by 100%.
02Algebra & EquationsSimplify expressions, solve equations and inequalities, and rearrange formulas one inverse operation at a time.

Remember these rules

  • Combine only like terms: 3x + 5x = 8x, but 3x + 5 cannot be combined.
  • Whatever operation you perform on one side of an equation, perform on the other side.
  • Expand brackets before combining terms: 3(x + 4) = 3x + 12.
03Linear RelationsRecognize constant rates of change and connect tables, graphs, equations, and real situations.

Remember these rules

  • Slope is rate of change: m = change in y ÷ change in x.
  • In y = mx + b, m is the slope and b is the value of y when x = 0.
  • Parallel lines have the same slope; an intersection satisfies both equations.
04Data & ProbabilityRead graphs carefully, describe distributions, make predictions, and calculate simple probabilities.

Remember these rules

  • Mean = total ÷ number of values; median is the middle value after sorting.
  • Outliers can pull the mean but usually have less effect on the median.
  • Probability = favourable outcomes ÷ total possible outcomes and must be between 0 and 1.
05Geometry & MeasurementChoose the correct formula, keep units consistent, and use diagrams to organize known information.

Remember these rules

  • Area uses square units; volume uses cubic units.
  • For right triangles, a² + b² = c², where c is the hypotenuse.
  • Check whether a question asks for perimeter, area, surface area, or volume before calculating.
06Financial Literacy & CodingApply percentages to real money decisions and trace simple code one instruction at a time.

Remember these rules

  • Simple interest: I = Prt, where r is written as a decimal and t is measured in years.
  • For a discount followed by tax, calculate the discount first, then tax the reduced price.
  • When tracing code, write the value of each variable after every step or loop.
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Halton Tutor's notes, drills, and practice tests are original independent study materials aligned to Ontario curriculum topics. They are not official EQAO questions. Halton Tutor is not affiliated with or endorsed by EQAO.