Signed Numbers: Comparing Signed Numbers
This clip explains that one number is smaller than the second if the first is to the left of the second on the number line. This is true with signed numbers as well.
Signed Numbers: Summary: Signed Numbers
This clip summarizes the use of both negative and positive numbers, as well as their location on the number line. "All these numbers," the clip states, "
are called 'signed numbers'." The clip also reviews how to determine which of two signed numbe...
Signed Numbers: Introducing Negative Numbers
This clip uses the number line to illustrate that there can be negative numbers as well as positive numbers. Negative numbers on the number line are located to the left of the zero, rather than to the right.
Signed Numbers: Number Line Exercises
This clip offers practice in locating a set of numbers known as "the set of integers" on the number line. The clip explains that the integers include zero, but don't include any fractions, positive or negative.
Subtracting Signed Numbers: Summary: Subtracting Signed Numbers
This clip summarizes the lesson on subtracting signed numbers. It explains that "
in subtracting signed numbers, it would be most useful to think of subtraction as finding the missing addend." The clip also reviews the use of the number line in the...
Subtracting Signed Numbers: Subtraction as Finding Missing Addends
This clip explains that subtraction can be looked at in either of two ways: having some quantity and taking away part of it, or finding the missing addend. "We have 4 dollars (and) we need 7. What must we add to 4 to get 7?" the clip asks. Because p...
Subtracting Signed Numbers: Subtracting Any Number is the Same as Adding Its Opposite
This clip explains that there's a way to subtract signed numbers that doesn't involve the number line. Through a series of examples, the clip demonstrates that subtracting any number is the same as adding that number with the opposite sign. "In othe...
Subtracting Signed Numbers: Using the Number Line to Subtract Signed Numbers
This clip explains how students can use the number line to more easily understand the subtraction of negative numbers. The clip also points out that one of the reasons signed numbers were invented "
(was so that) we can subtract any two numbers
la...
Adding Fractions With the Same Denominator: Adding Fractions With the Same Denominator
This clip explains how to add fractions with the same denominator. It states that the sum will be a fraction with the same denominator as the original one, and a numerator which consists of the original numerators added together.
Adding Fractions With the Same Denominator: Changing Mixed Numbers to Improper Fractions
This clip explains that we have to change a mixed number to an improper fraction whenever we want to add, subtract, multiply or divide fractions. The clip then provides a shortcut for changing mixed numbers to improper fractions.