Math Basics

Coordinates (20:00) How to identify points, plot ordered pairs on a graph, use map coordinates to find locations, and apply graphical break-even analysis to linear functions.

Formulas (19:51) How to construct formulas and equations, solve equations with one variable, and use formulas in basic computer spreadsheets. Dramatized segments and computer animations demonstrate ways to predict future sales and costs of cordless phones at an electronics store by using spreadsheets; select an economical rental car by devising a formula to compare competing rates; and determine a small airplane’s gross weight before take-off.

Fractions (20:00) The meaning of fractions and how to solve problems involving sums and products.

Graphs (20:00) How to read, interpret, and evaluate data displayed in bar graphs, line graphs, and pie charts.

Linear Functions: An Introduction (20:56) Linear functions are routinely used to model data, approximate change, and find the rate of change of a curve. In this program, Sharpie the Pencil shows students how to plot and sketch a linear graph from a linear equation and then how to derive a linear equation from a linear graph. In the process, the slope-intercept form of linear equation is illustrated, and the y-intercept and the gradient m are underscored as key ideas in determining the equation of a line.

Percentages (20:00) How to calculate with percentages and interpret and use percentage figures that appear in diagrams and charts.

Ratios (17:56) How to identify and form equivalent ratios and ratio tables, express ratios as both fractions and decimals, and interpret map scales to calculate distances. Dramatized segments and computer animations show ways to determine which combinations of a mountain bike’s gears provide the most power and speed; custom-design a roof at a construction office to create a high attic ceiling; and interpret a map to decide if there is enough time to drive the distance to a rock concert. (20 minutes)

Understanding Ratio and Proportion (16:10) By the video’s end, viewers will have a thorough understanding of ratios and proportions: what they are, how to work with them, and how they can be applied in everyday situations.