How to learn Grade 8: Mathematics
Arizona academic standards: Mathematics, Grade 8
0 of 4 concepts ready to learn · Markdown, for your AI
1. Statistics and Probability · Find probabilities of 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. Expressions and Equations · Analyze and solve pairs of simultaneous linear equations.
- 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
- 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
3. Expressions and Equations · Use square root and cube root symbols to represent solutions to equations of the form x² = p and x³= p, where p is a positive rational number. Know that √2 is irrational.
- Square and cube numbers: Use integer powers and associated real roots (square, cube, and higher); recognise powers of 2, 3, 4, and 5; distinguish between exact representations of roots and their decimal approximations