Math+Chapter+2

During our studies in chapter 2, we will learn: - How to identify and even or odd number. We’ve learned that an even number is one that can be divided into groups of two. We’ve learned that if a number has an even digit (2,4,6,8, or 0) in its “ones place,” it is an even number. All of these are even numbers: 2, 32, 434, 756, 128, and 990. If a number cannot be divided into groups of two, then it is an odd number. We’ve learned that if a number has an odd digit in its “ones place,” then it is an odd number. All of these are odd numbers: 1, 43, 365, 497, and 829. - How to write a number in standard and expanded forms. Here are some numbers in both standard and expanded form 24 has the same value as 20 + 4 432 has the same value as 400 + 30 + 2 4,678 has the same value as 4,000 + 600 + 70 + 8 603 has the same value as 600 + 3 5,007 has the same value as 5,000 + 7 - The place value of digits in 3-, 4-, 5-, and 6-digit numbers We know that in the number 456,789 the 4 is in the hundred thousands place the 5 is in the ten thousands place the 6 is in the thousands place the 7 is in the hundreds place the 8 is in the tens place and the 9 is in the ones place

- How to use logical reasoning to determine equivalent values. These are base ten blocks. The small block is worth “one,” the rod is worth “ten,” and the large square is worth “100.”



One could represent the number 246 with “two hundreds, four tens, and six ones.” One could also use “one hundred, fourteen tens, and six ones.” Our goal is to understand that there is more than one way to represent a number using base ten blocks. (You could even represent 246 with two hundred forty-six ones!)

[|An excellent website to practice with base ten blocks can be found at this link.]

- How to describe, extend, create, and predict number patterns from both numbers and base-ten-block models. In this example, what number comes next? 3,6,9,___.__ It’s fairly easy to see that 12 comes next. Why? Because you can see that to go from number to number it’s necessary to “add 3.” Therefore, to get the next number you simply add 3 to 9; the answer is 12. We will use numbers ranging from single-digit to 4-digits. Another typical example could be 3,694 3,594 3,494. The answer is 3,394.