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Multiplication and Division

Multiplication Division

Standard Algorithm

Area Models

Standards for Unit 2

MGSE4.OA.1a: 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

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

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.

FROM PREVIOUS UNIT

MGSE4.NBT.3: Use place value understanding to round multi-digit whole numbers to any place

MGSE4.NBT.4: Fluently add and subtract multi-digit whole numbers using the standard algorithm.

MGSE4.NBT.5: Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digitnumbers,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.

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