Erika's Math 251 Map

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Erika's Math 251 (Unit 2) Map

Solving Division

Example: After Andrews Middle School is built, it will hold 609 students. Each classroom will have 29 students. How many classrooms does the school have?

How to solve this:

Partial Quotients

Negative and Positive Integers

Displaying them on Number Lines

Multiplying

Subtracting

Distance between numbers can also be displayed on a number line

Notations

Scientific Notation

The exponent is related to how many place values the number has. For example, kids will find out that the exponent is the number of 0s the number has when it is written out in expanded notation.

This is a way that you can write down numbers that may be too big or too small to write out completely. You always multiply a number that is less than 10 by 10 to an exponent

347, 568

(3 x 10^5) (4 x 10^4) (7 x 10^3) (5 x 10^2) (6 x 10^1) (8 x 10^1)

Expanded Notation

A number gets broken down into each, different value (1000s, 100s, 10s, etc.)

347,568

300,000 + 40,000+7,000+500+ 60+ 8

Solving Multiplication

242 x 309

Partial Producats

Ratio Table

Division

Models of Divisioin

Partition (Groups)

Here you would know that there are 6 kids that need supplies, so you could draw the 6 kids and distribute the $48 evenly to each kid.

Example: Megan has $48. She wants to give an equal amount of money to 6 needy kids for school supplies. How much can she give to each kid?

Rpeated Subtraction (or Addition)

Here you would seperate the money into 8 groups of 6 because you know that the groups need to be in 6, then count up till you get to $48

Example: Megan has $48. She wants to give $6 to needy kids for school supplies. How many kids can she give supplies to?

Multiplication

Properties of Multiplication

Distributive Property

a x (b+c) = (a x b) + (A x c)

Identity Property

6 x 0 = 0 or 1,215,364 = 0

6 x 1 = 6 or 1,215,365 x 1= 1,215,365

Associative Property

3 x 6 x 5

3 X (6 x 5)

3 x 30 = 90

Communative Property

3 x 2 = 2 x 3

Models of Multiplication

Website with picture EXAMPLES!

Tree/Combinations

One of the last versions we want to introduce to kids

Example: Adam has 4 pairs of pants and 7 different skirts. How many different outfits can he make?

Area Model

Very Efficient because it ALWAYS elicits columns/rows

Example: In the classroom, there are desks lined up in 4 rows with 7 desks in each row. How many total desks are there in the classroom?

Repeated addition

Similar to sets, but in mulitplication, the sets have to be the same size (add them all)

Example: Ryan has 4 plates of cookies, with 7 coookies on each plate. How many cookies does Ryan have all together.