Monday, January 26, 2015

GoMath Chapter 8

In this chapter, the students will learn to multiply fractions and mixed numbers by whole numbers. We will learn to write a fraction as a product of a whole number and a unit fraction, and to find multiples of unit fractions. There are five sections in this chapter.

Important Chapter Vocabulary
1.  Factor;  A number that is multiplied by another number to find a product.
2.  Fraction;  A number that names part of a whole or part of a group.
3.  Identity Property of Multiplication;  The property that states the product of any number and 1 is that number.
4.  Multiple;  The product of two counting numbers.
5.  Product;  The answer to a multiplication problem.
6.  Unit Fraction;  A fraction that has one as the numerator.


Monday, January 5, 2015

GoMath Chapter 7

Our class will be learning how to add and subtract fractions and mixed numbers over the next few weeks.  First, we will use models to find the sums or the differences.  Then we will record equations to match our models.  Finally, we will add and subtract without using models.  Our homework will be practice adding and subtracting fractions with and without models.  There are ten sections in this chapter.

 Important Chapter Vocabulary 
1.  Mixed Number; An amount given as a whole number and a fraction.
2.  Unit Fraction;  A fraction that has a numerator of one.
3.  Associative Property of Addition;  The property that states that when the grouping of addends is changed, the sum is the same.
4.  Commutative Property of Addition;  The property that states that when the order of two or more addends is changed, the sum is the same. 
5.  Denominator;  The part of the fraction below the line, which tells how many equal parts there are in the whole or in a group.
6.  Fraction;  A number that names part of a whole or part of a group
7.  Numerator;  The part of a fraction above the line, which tells how many parts are being counted.
8.  Simplest Form;  A fraction in which the numerator and denominator have only 1 as a common factor.





Tuesday, November 25, 2014

GoMath Chapter 5

In chapter 5, we will be working with factors, multiples, and patterns.  The students will study and learn to find factors and multiples and work with number patterns.  There are six sections in this chapter.

Important Chapter Vocabulary
1.  Common factor;  A number that is a factor of two or more numbers.
2.  Common Multiple;  A number that is a multiple of two or more numbers.
3.  Composite Number;  A number that has more than two factors.
4.  Divisible;  A number is divisible by another number if the quotient is a counting number and the remainder is zero.
5.  Factor;  A number multiplied by another number to find a product.
6.  Pattern;  An ordered set of numbers or objects.
7.  Prime Number;  A number that has exactly two factors, one and itself.
8.  Term;  Each number or object in a pattern. 

                                Divisibility Rules 
  Number                                                    Divisibility Rule
        2                                                         The number is even.
        3                                                         The sum of the digits
                                                                    is divisible by 3.
       5                                                           The last digit is 0 or 5.
       6                                                           The number is even
                                                                    and divisible by 3.
       9                                                            The sum of the digits
                                                                     is divisible by 9.

Tuesday, October 28, 2014

GoMath Chapter 4

Our class will be learning how to model division, and use the division algorithm to divide up to 3-digit dividends by 1-digit divisors.  The class will learn different methods to divide, including using models, repeated subtraction, and the standard division algorithm.  We will also learn to divide with remainders.
Our homework will provide practice modeling division and using the division algorithm.  There are twelve sections in this chapter.

Important Chapter Vocabulary:
1.  Compatible Mumbers;  Numbers that are easy to compute mentally.
2.  Multiple;  A number that is the product of a given number and a counting number.
3.  Partial Quotient;  A method of dividing in which multiples of the divisor are subtracted from the dividend and then the quotients are added together.
4.  Remainder;  The amount left over when a number cannot be divided equally.
5.  Dividend;  The number that is to be divided in a division problem.
6.  Divisor;  The number that divides the dividend.

Friday, October 10, 2014

GoMath Chapter 3

Our class, during the next few weeks, will be learning to multiply by 2-digit whole numbers.  We will also learn how to describe the reasonableness of an estimate.
The homework will provide practice with estimation and multiplication of numbers with more than 1 digit. There are seven sections in this chapter.

Important Chapter Vocabulary:
1.  Compatible Numbers;  Numbers that are easy to compute with mentally.
2.  Associative Property of Multiplication;  The property that states that when the grouping of factors is changed, the product remains the same.
3.  Commutative Property of Multiplication;  The property that states when the order of two factors is changed, the product remains the same.
4.  Estimate;  To find an answer that is close to the exact amount.
5.  Partial Product;  A method of multiplying in which the ones, tens, hundreds, and so on are multiplied separately and then the products are added together.
6.  Product;  The answer in a multiplication problem.
7.  Regroup;  To exchange amounts of equal value to rename a number.

Tuesday, September 23, 2014

GoMath Chapter 2

During the next few weeks, our math class will be learning about multiplying by 1-digit whole numbers.  We will investigate strategies for multiplying 2-, 3-, and 4- digit numbers by the numbers 2-9.

Important Chapter Vocabulary
1.  Distributive Property;  The property that states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.
2.  Partial Products;  A method of multiplying in which the ones, tens, hundreds, and so on are multiplied separately and then the products are added together.

            Partial Products




Multiplying by tens, hundreds, thousands

7 x 4 = 28
7 x 40 = 280
7 x 400 = 2800
7 x 4000 = 28,000

Tuesday, August 19, 2014

GoMath Chapter 1

During the next few weeks, our math class will be learning how to use and represent whole numbers through the hundred thousands place.  We will also be adding and subtracting multi-digit numbers.

Important Chapter Vocabulary
1.  Estimate;  A number close to an exact amount.
2.  Expanded Form;  A way to write numbers by showing the value of each digit.
3.  Period;  Each group of three digits separated by commas in a multi-digit number.
4.  Round;  To replace a number with another number that tells about how many or how much.
5.  Standard Form;  A way to write numbers by using the digits 0-9 with each digit having a place value.
6.  Word Form;  A way to write numbers by using words.


Expanded Form;  3,000 +500+10+9
Standard Form;    3,519
Word Form;         three thousand, five hundred nineteen