Dear Parents, Vocabulary: Grade 5 Parent Newsletter Multiplication and Division Students will be focused on multiplication and dividing multi-digit numbers. To help students multiply and divide multi-digit numbers they will be using their knowledge of place value. During this unit, it is very important that students know their multiplication facts from 0-10. This will assist their success in multiplying and dividing large numbers. Thank you for your support, Your Child s 5 th Grade Teacher Expanded form: tells the value of each digit in a number. How can you help your child be successful in mathematics? Important Concepts: Expanded form tells the value of each digit. For example, 534 is the same as 500 + 30 + 4. Multiplication can be used to divide numbers. Division as repeated subtraction. 30 5 can be thought of has how many times can I take away 5 until I am left with 0. Adding and subtracting multi-digit numbers with regrouping. Misconceptions: When using the algorithm, students will not put a 0 as a place holder when multiplying multi-digit numbers. Things to Do: Practice adding and subtracting multi-digit numbers. Practice multiplication facts.
Strategies to Support Student Learning In order to multiply multi-digit numbers, students will use a strategy called the area model along with partial products to find their answer (the product). In this strategy, students will rewrite the factors into expanded form. By breaking apart the factors into expanded form, students will have multiple multiplication expressions they will solve which leads to multiple products. These products will then be added at the end to find the final answer of the original problem. Solving using partial products help students recognize the value of each number. This helps students understand why they need to put placeholder zeroes when using the method that parents may be more familiar with. Students will use the standard algorithm and connect these strategies to support their learning. Partial Products Product
In order to divide multi-digit numbers, students will use a strategy called partial quotients and the area model. Division can be thought of as repeated subtraction. Students will multiply the divisor by a number they can easily multiply by such as 10s, 5s and 2s and then subtract the product from the dividend. They will repeat this process until they are left with zero or a remainder and then add all the numbers they used together to get the final quotient. Multiplication is the inverse (or opposite) of division so students will use the relationship between them to divide.
Home-to-School Connection
Home- to- School Connection Students can use the links for additional practice: 1.) Games to practice basic multiplication facts a. http://www.multiplication.com/games/all-games b. http://www.abcya.com/clear_it_multiplication.htm c. http://www.abcya.com/math_stack.htm 2.) Games to practice basic division facts a. http://www.abcya.com/math_stack.htm b. http://www.multiplication.com/games/division-games 3.) Dice games for multiplication and division: a. Each player will roll a dice 5 times to create a 3 digit and 2 digit number. Multiply the numbers you have created. Whoever has the greater product gets 1 point. The first to get 5 points wins the game. b. Each player will roll a dice 5 times. Arrange 3 of your numbers as the dividend and 2 as your divisor. Whoever has the greatest quotient will earn 1 point. Whoever gets to 5 points wins the game.
Real World Connections Division can be used in many ways in our daily life. Division can be used to determine how much of an item we can make. For example, a designer has 1,642 feet of fabric. The designer needs 9 yards to make a dress. How many dresses can the designer make? We can also use division when creating groups of items. For instance, division can be used to create gift bags for a party. A large bag of candy could have 278 pieces. We would need to use division in order to determine how many bags of candy we can make if we want each bag to have 19 pieces of candy. Division is all around us when we are trying to create equal groups of an object. Along with division, we use multiplication every day in our life. We can use multiplication to determine the profit that is made during a school fundraiser. For example, if students are selling candles for a fundraiser and they each cost $12, students can determine the profit they have made by multiplying the cost of the candle by the number of candles sold. Multiplication can also be used when increasing the size of a recipe. For example, if I need to triple a recipe to make cookies I would use multiplication. Multiplication is also tied to other important math concepts such as area and volume. In order to determine how much space an object takes up, students will need to be able to multiply multi-digit numbers.