How to learn Grade 8: Mathematics
Tennessee academic standards: Mathematics, Grade 8
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1. Grade 8 · Find probabilities of and represent sample spaces for compound events using organized lists, tables, tree diagrams, and simulation.
- Tree diagrams: Generate theoretical sample spaces for single and combined events using listing, tables, and tree diagrams, and calculate theoretical probabilities as the number of favourable outcomes divided by the total number of equally likely outcomes
2. Grade 8 · Describe the effect of translations, rotations, reflections, and dilations on two-dimensional figures using coordinates.
- Coordinate Transformations: Identify properties of translations, rotations, and reflections; describe and perform these transformations on given figures, and understand that the image is congruent to the original
3. Grade 8 · Analyze and solve systems of two linear equations graphically.
- Simultaneous Equations: Understand that two linear equations can be solved simultaneously by finding the point where their graphs intersect, and interpret this graphically and algebraically as the pair of values satisfying both equations
4. Grade 8 · Solve linear equations in one variable.
- Solving Linear Equations: Use algebraic methods to solve linear equations in one variable, including equations that require rearrangement, expanding brackets, and collecting terms on both sides; solve equations with rational number coefficients