Unit 2: Multiplication and Division

This unit is all about multiplication and division!  We will use these multiplication and division skills to solve word problems, and area problems.  We will be learning various methods for multiplication and division.  I have included a chart at the bottom of this page to show what we will be learning in class. We will also be learning "the old way" or how I was taught in school.  Your child has the freedom to choose the method they want to use, but they do need to understand each way.  There are specific questions in study island that use various methods of multiplying and dividing.  This is a good resource for you to work with your child on!

Standards for Unit 2

MGSE4.OA.1: Understand that a multiplicative comparison is a situation in which one quantity is multiplied by a specified number to get another quantity.

a.Interpret a multiplication equation as a comparison e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5

b. Represent verbal statements of multiplicative comparisons as multiplication equations.

MGSE4.OA.2: Multiply or divide to solve word problems involving multiplicative comparison. Use drawings and equations with a symbol or letter for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.

MGSE4.OA.3: Solve multistep word problems with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a symbol or letter standing for the unknown quantity.  Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

MGSE4.OA.4: Find all factor pairs for a whole number in the range 1100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1100 is prime or composite

MGSE4.OA.5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. Explain informally why the pattern will continue to develop in this way. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers.

MGSE4.NBT.5 Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

MGSE4.NBT.6 Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

MGSE4.MD.2 Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.

MGSE4.MD.8 Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non- overlapping parts, applying this technique to solve real world problems.

Vocabulary for Unit 2

1) Multiplication: an operations used to find the total number of items in equal-sized groups

2) Product: the answer to a multiplication problem

3) Factors: numbers that are multiplied together to get a product

4) Factor Pair: 2 numbers that are multiplied together to get a product

5) Multiple: the product of a number and any other whole number; for example, 3, 6, 9, 12, 15 are all multiples of 3

6) Division:an operation used to separate a number of items into equal-sized groups

7) Remainder: the amount leftover that will not divide equally into the given number of groups

8) Reasonable: something that makes sense when the given facts are taken into account

9) Symbol: an object used to stand for an unknown number in an equation

10) Unknown: a missing number in an equation

11) Equation: a math sentence that uses an equal sign (=) to show that 2 expressions have the same value

12) Expression: a group of one or more numbers, unknowns, and operations that represents a quantity, for example 5 x h

Multiplication

Division

Standard Algorithm

Area Models