Lesson One - Addition & Subtraction
This first video will introduce you to the scope of the series and starts with understanding numbers, the basic key to understanding all mathematical concepts. And this lesson will do more than demonstrate the "how's" of arithmetic; you will also be shown why the methods work and how mathematics is applied in the "real world". You'll also learn the answers to the fundamental questions of "what is adding?" and "what is subtracting?" so that you can progress to learning addition and subtraction of fractions, decimals, integers, and, eventually, algebraic polynomials.
You Will Learn
- How to use the Basic Math series.
- How to explain the meaning of the word number.
- To demonstrate the ability to add whole numbers.
- To demonstrate the ability to subtract whole numbers.
30 Minutes. Teaching guide and worksheet enclosed.
|
|
Lesson Two - Multiplication & Division
In this lesson multiplication is investigated not as a rote method of computation but as a logical process. The importance of place value in multiplication and the difference between addition and multiplication are studied. An alternative method of multiplication, called lattice multiplication, is introduced to enhance the student's ability to accurately multiply multidigit numbers.
The concept of division as the opposite of multiplication is discussed. This lesson establishes what you are doing when you divide so that Lesson 3 can develop the method used for division.
You Will Learn
- To explain the meaning of multiplication.
- The ability to multiply using the lattice method.
- To make valid estimates for multiplication problems.
- To explain the meaning of division.
30 Minutes. Teaching guide and worksheet enclosed.
|
|
Lesson Three - Long Division
In this lesson a story example-the magazine delivery problem-is used to develop the universal procedure for a division problem. "Divide, multiply, subtract, bring down" is no longer a mantra but has become a well-understood sequence of steps related to a concrete problem.
Various types of long-division problems are discussed. They include one-digit divisors, two-digit divisors and a zero in the answer. The rationale for why one cannot divide by zero is explained.
You Will Learn
- To make a valid estimate for a division problem.
- To divide by a one-digit divisor.
- To divide by a two-digit divisor.
- Be able to explain why you cannot divide by zero.
30 Minutes. Teaching guide and worksheet enclosed
|
|
Lesson Four - Introduction To Fractions
Many students are frustrated by fractions. Basic Math introduces the fraction with concrete examples. The structure of the fraction-numerator and denominator-is related to the whole number.
Fundamental fractional operations such as equivalent fractions, reducing, simplifying, and writing a mixed number as an improper fraction are introduced. These operations are vital if one is to successfully compute with fractional numbers.
You Will Learn
- To define the numerator of a fraction as its "digit" and the denominator as its "place value".
- To compute equivalent fractions.
- To reduce fractions to lowest terms.
- To simplify an improper fraction to a mixed number.
- To convert a mixed number to an improper fraction.
30 Minutes. Teaching guide and worksheet enclosed.
|
|
Lesson Five - Adding Fractions
In this lesson we discover that addition of fractions is related to the addition of whole numbers. Addition of fractions with like denominators and then addition of those with unlike denominators are accomplished. Writing the answers in simplest terms is discussed.
What has been learned about adding fractions is applied to adding mixed numbers. A logical, step-by-step process is developed.
You Will Learn
- To add fractions with like denominators.
- To add fractions with unlike denominators.
- To convert fractional answers to simplest terms.
- To add mixed numbers.
30 Minutes. Teaching guide and worksheet enclosed. |
|
