How to learn Grade 8: Mathematics
Alabama academic standards: Mathematics, Grade 8
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1. Grade 8 Accelerated Standards · Analyze the possible association between two categorical variables.
- Pictograms and tally charts (age 11+): Construct and interpret frequency tables, bar charts, pie charts, pictograms, and vertical line charts for both categorical and grouped numerical data, choosing appropriate representations for the data type
2. Grade 8 Accelerated Standards · Use a linear model of a real-world situation to solve problems and make predictions.
- Estimating answers (age 13+): Use graphs of linear and quadratic functions to estimate output values for given inputs, find approximate solutions to equations, and interpret graphical information in real-world contexts
3. Grade 8 Accelerated Standards · Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
- Linear Function Graphs: Recognise that a linear function produces a straight-line graph, understand the relationship between an equation of the form y = mx + c and its graphical representation, and interpret gradient and y-intercept in context
4. Grade 8 Accelerated Standards · Explain why the <em>x</em>-coordinates of the points where the graphs of the equations <em>y = f(x)</em> and <em>y = g(x)</em> intersect are the solutions of the equati
- 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
5. Grade 8 Accelerated Standards · Select an appropriate method to solve a system of two linear equations in two variables.
- 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
6. Grade 8 Accelerated Standards · Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
- Estimating by rounding: Use approximation through rounding to estimate answers and calculate possible resulting errors expressed using inequality notation a < x ≤ b; understand upper and lower bounds of rounded values
- Factorising Expressions: Factorise algebraic expressions by taking out common factors — identify the highest common factor of all terms and write the expression as a product, e.g., 6x + 9 = 3(2x + 3)