Once Einstein knew that time and length measurements change when we change our frame of reference, his next step was to find formulas for calculating the changes. Using formulas developed by the mathematician Edward Lorentz, Einstein was able to quantify such measurement changes.

Grade Level:

High

Length:

00:13

Key concepts explained: Factoring, terms, expressions, finding the greatest common factor(s), and factoring polynomial expressions that are the sums or differences of terms with common factors.

Grade Level:

Middle

High

Length:

00:18

Key concepts explained: quadratic trinomials, how to expand bracketed binomials, and factoring quadratic trinomials in different cases.

This focuses on expanding and factoring quadratic expressions. Our young presenter explores a variety of novel ways to explain the techniques used in this vital aspect of algebraic manipulation.

Grade Level:

Middle

High

Length:

00:17

Key concepts explained: negative numbers, integers, addition and subtraction of integers.

Grade Level:

Middle

High

Length:

00:18

Our young presenter ventures fearlessly into the negative zone to learn how to add, subtract, multiply and divide positive and negative numbers. A variety of highly visual tools are presented in a fun format to help students make sense of the rules for integer operations. Plugs removed from a wood block represent positive quantities and the remaining holes, negative quantities.

Grade Level:

Middle

High

Length:

00:12

Key concepts explained: linear equations and their graphs, and the domain of an equation.

Grade Level:

Middle

High

Length:

00:16

The key concepts learned in Part 1 are applied with variations.

Grade Level:

Middle

High

Length:

00:17

Key concepts explained: converting percentages into decimals and fractions, and converting decimals and fractions into percentages.

Grade Level:

Middle

High

Length:

00:22

This programs shows how to measure the dimensions of common 3D objects. The calculations needed to obtain their surface areas and volumes are also illustrated. The solids featured are polygon-based prisms and pyramids, cones, cylinders and spheres. The recognizable objects used in this program vary from well-known snack containers to the pyramid of Cheops.

Grade Level:

Middle

High

Length:

00:23

This programs shows how to measure the dimensions of common 3D objects. The calculations needed to obtain their surface areas and volumes are also illustrated. The solids featured are polygon-based prisms and pyramids, cones, cylinders and spheres. The recognizable objects used in this program vary from well-known snack containers to the pyramid of Cheops.

Grade Level:

Middle

High

Length:

00:25

Key concepts explained: horizontal and vertical lines, positive and negative slopes, calculating a slope by measuring its rise and run, and calculating a slope by using two points on a coordinate plane.

Grade Level:

Middle

High

Length:

00:24

Algebra helps our engaging teenage hostess, as she calculates the amounts of recipe ingredients needed to cook for and then serve, a sizable party:

1. To avoid confusion, when we write a formula we leave out the multiplication sign “x”, and instead put the number, the constant, in front of the variable, which is “X” in this case.

Grade Level:

Middle

High

Length:

00:19

Continuing on from Part 1, more formulas are induced from patterns, this time concerning the number of trays needed to serve varying slices of pastries, that are more complicated than those in the first part. We combine formulas by adding and subtracting like terms. We call this simplifying the expression.

Grade Level:

Middle

High

Length:

00:13

--formulas for a parallelogram (square, rectangle, and rhombus)

--formulas for a trapezoid, triangle, and circle

Grade Level:

Middle

High

Length:

00:27

--expressing a probability between certainty and impossible as the likelihood of an uncertain event occurring

--conducting and recording probability experiments using small and large number trials with replacement

--calculating the theoretical probability of a particular event occurring

--expressing probabilities as odds

Grade Level:

Middle

High

Length:

00:13