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This blog concerns the OT writing prophets who wrote just prior to the first captivities and deportations (first by the Assyrians and then the Babylonians). I'm interested in discussing many things with others who may share or not share my views; to begin, would anyone care to comment on the sequence and approximate dates of the ministries of Obadiah, Joel, Jonah, Amos, Hosea, Isaiah, and Micah? (Even though Micah's ministry spanned the time before the first captivities and during the early part of the exilic period, for that very reason I'm very keen on studying him.) My interest stems from a desire to have the opportunity to offer Biblical Studies tutorials. Besides the 16 prophets whose writings are included in the 66 books of the protestant Bible, the OT regarded others as prophets (e.g., Gad, Nathan, Elijah, Elisha and Huldah, the prophetess (2 Kings 22:14), but they did not write. Many consider John the Baptist the last of the non-writing OT prophets. Fascinating... read more

SAMPLE LESSON: Basic Math: Least Common Multiple and Denominator Students find the least common multiple (LCM) and least common denominator (LCD) of two and three numbers. Definition of Term LEAST COMMON MULTIPLE: The least common multiple of two or more numbers is the smallest number (excluding zero) that is a multiple of all of them. Example: Find the LCM of 6 and 8 The multiples of 6 are 6, 12, 18, 24, 30, etc. The multiples of 8 are 8, 16, 24, 32, 40, etc. The smallest multiple that appears in both sets is 24 24 is the least common multiple (LCM) of 6 and 8. NOTE: An interesting characteristic of the least common multiple (LCM) of two or more numbers is that it is the smallest whole number that can be evenly divided by each of the numbers. The LCM of 2 and 3 is 6. The LCM of 2 and 6 is 6. The LCM of 2, 3, and 5 is 30. The LCM of 3, 4, 6, and 12 is 12. *If the largest number is a multiple of the other numbers, it is... read more

Some students in 4th grade who can do multiplication problems involving one-digit multipliers get stuck when they encounter others involving two-digit or three-digit numbers multiplied by a one or two-digit multiplier. I've found that by first giving students problems that require no regrouping and going over all the basic steps helps. Then I give them problems that require simple regrouping where the products are two-digit, three-digit, or four-digit numbers. The same goes for working out division problems: I first give students problems that require no regrouping and that show a two-digit or three-digit number divided by a one-digit divisor. And after they master doing these problems we move on to others requiring simple regrouping. I make sure the quotients in the easy problems are two-digit or three-digit numbers with no remainders. As they learn the basics doing easy problems, students having trouble (or fear of) math gain confidence using their skills.... read more

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