How to learn High school: Mathematics
Mississippi academic standards: Mathematics, High school
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1. Advanced Mathematics Plus · Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values.
- 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
2. Advanced Mathematics Plus · Multiply a vector by a scalar.
- Plotting Linear Graphs: Plot linear graphs by generating a table of values, reduce a two-variable linear equation to the form y = mx + c, and calculate gradients from two points on a line
3. Integrated Mathematics III · Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
- Scatter Graphs & Correlation: Describe simple mathematical relationships between two variables using scatter graphs, identify positive, negative, or no correlation, and use a line of best fit to make predictions
4. Integrated Mathematics III · 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
5. Integrated Mathematics II · Write a function that describes a relationship between two quantities.
- Ratio Notation and Relationships: Understand that a multiplicative relationship between two quantities can be expressed as a ratio; use ratio notation; simplify ratios
6. Integrated Mathematics II · Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
- Quadratic Graphs: Recognise that quadratic functions produce curved (parabolic) graphs, distinguish them from linear graphs, and use plotted quadratic graphs to estimate values and find approximate solutions
7. Integrated Mathematics II · Solve quadratic 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
8. Integrated Mathematics I · Interpret expressions that represent a quantity in terms of its context.
- Percentages as Fractions: Define percentage as 'number of parts per hundred'; interpret percentages and percentage changes as a fraction or a decimal; express one quantity as a percentage of another; compare quantities using percentages; work with percentages greater than 100%
9. Algebra II · For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a ve
- 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