MTE 280. Investigating Quantity

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MTE 280. INVESTIGATING QUANTITY

DECIMALS

dec·i·mal

ˈdes(ə)məl/

noun

plural noun: decimals

1. a fraction whose denominator is a power of ten and whose numerator is expressed by figures placed to the right of a decimal point.
2. the system of decimal numerical notation.

https://www.mathsisfun.com/decimals.html

Operations

Fractions

Fractions represent broken up parts of whole numbers. For example a pie can be cut into equal slices and a cookie can be broken into parts that make up a whole.

Counting Fractional Parts: Iteration

-Top number counts (numerator)

-bottom number tells what is being counted (denominator)

Improper fractions -https://youtu.be/-imFslMIN1g

MODELS/CONCEPTS

• Area/Region Model ("Fair-share")
• https://youtu.be/_-JAEptalo0

• Linear/Length Model
• https://youtu.be/SJ46hL_WRzQ

• Set/Individual Model
• https://youtu.be/MkFs11eEu9o

NUMBER SYSTEMS

• Hindu-Arabic (OURS)
• Roman
• Greek
• Mayan

Use different kind of bases. US uses base "10"

BASES

Base 2: 0,1,10,11

Base 3: 0,1,2,10,11,12

Base 4: 0,1,2,3,

Base 5: 0,1,2,3,4

Base 10: 0,1,2,3,4,5,6,7,8,9

WHOLE NUMBERS

Numbers that aren't fractions, decimals, or negative. (ex. 2, 27893)

STRATEGIES

SUBTRACTION: Decomposition, Compensation, Number Line, Counting on

ALGORITHM

al·go·rithm

ˈalɡəˌriT͟Həm/

noun

1. a process or set of rules to be followed in calculations or other problem-solving operations, especially by a computer.

ALT ALG: Expanded Notation

MODELS

PROPERTIES

INTEGERS

Whole counting numbers (+) and their opposites (-) on a number line.

• Bank Accounts
• Altitude
• Temperature

0 = Origin

CONCEPTS

OPERATIONS

• Chip Method/ Positive & Negative Charge Method
• LINK TO VIDEO - https://youtu.be/l6MKcyuqUYs

• Number Line
• https://youtu.be/TPJjGMROQoc

• Absolute Value -Distance from Origin
• https://youtu.be/r6hS_8nm1jM