How to learn High school: Mathematics

Wyoming academic standards: Mathematics, High school

0 of 13 concepts ready to learn · Markdown, for your AI

1. Interpreting Categorical And Quantitative Data · Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.

1. 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

2. Similarity, Right Triangles, And Trigonometry · Understand similarity in terms of similarity transformations. Verify heuristically the properties of dilations given by a center and a scale factor. (A

1. Coordinates (age 12+): Understand similarity as a relationship where one shape is an enlargement of another; construct similar shapes by enlargement with a given scale factor and centre, with and without coordinate grids

3. Linear, Quadratic, And Exponential Models · May be able to distinguish between situations that can be modeled with linear functions and with exponential functions.

1. 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. Building Functions · May be able to understand inverse functions.

1. Using inverse operations: Recognise and use relationships between operations including inverse operations; use these relationships to check answers and simplify calculations

5. Building Functions · Understand inverse functions.

1. Simple formulae: Understand and use standard mathematical formulae; rearrange formulae to change the subject, performing inverse operations to isolate a different variable

6. Building Functions · May be able to write a function that describes a relationship between two quantities.

1. Ratio Notation and Relationships: Understand that a multiplicative relationship between two quantities can be expressed as a ratio; use ratio notation; simplify ratios

7. Interpreting Functions · Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

1. 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

8. Reasoning With Equations And Inequalities · Solve quadratic equations in one variable.

1. 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

9. Seeing Structure In Expressions · Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

1. Positive and Negative Numbers: Understand positive and negative numbers as describing quantities with opposite directions or values; use them in context such as temperature, floors in a building, and bank balances
2. 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%
3. Powers of Ten Notation: Interpret and compare numbers in standard form A × 10ⁿ where 1 ≤ A < 10 and n is an integer; convert between ordinary numbers and standard form
4. 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)

10. Vector And Matrix Quantities · (+) Multiply a vector by a scalar.

1. 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