类别 全部 - division - mathematics - methods - subtraction

作者:Sandra Diaz 1 月以前

106

MTE 280 Elementary Math

The text outlines various mathematical concepts and instructional methods used in elementary math education, specifically focusing on base 10 blocks and their applications in teaching fundamental arithmetic operations.

MTE 280
Elementary Math

MTE 280 Elementary Math

Base 10 Blocks

Base 10 blocks

Flats are hundreds

Longs are tens

units are ones


Methods

Division

15/5

15 into 5 groups is 3


Finding out how many things are inside a group


Traditional is long division


Divisibility Rules
Upwards division
Repeated Subtraction
Prime Factorization

Downwards division

Video

Factor Trees

Multiplication

Multiplying two numbers is finding the area all the time.

Reinforces prior understanding

Is repeatable

Is efficient-ish


Image

Area Model

Reinforces prior understanding

Is repeatable

Is efficient enough



Image

Subtraction

Finding a difference

Equal Addens
Left-to-right



Reinforces prior understanding

Is repeatable

Is efficient


Image

Decomposing (expanded form)

Breaking down the numbers by place value



Reinforces prior understanding

Is repeatable

Is not very efficient



Image

Addition

Combining numbers

Lattice

Lattice lets you add big numbers without having to carry 10s or 100s.



Reinforces prior understanding

Is repeatable

Is very efficient



Image

Scratch Method

Scratch method depending on your base, you will slash for every set, and if left over you will continue to add until you run out. Like the video shows.



Reinforces prior understanding

Is repeatable

Is very efficient


Image

Trade-off

Trading off numbers gives out numbers in order to get friendly numbers



Reinforces prior understanding

Is repeatable

Is not the most efficient, but is efficient


Image

Friendly Numbers

Friendly numbers combine numbers to get favorable numbers



Reinforces prior understanding

Is repeatable

Is not the most efficient, but is efficient


Image

Left-to-Right

Left-to-right you add numbers based on place value starting at the left


Reinforces prior understanding

Is repeatable

Is efficient


Image

Expanded Form

Expanded form breaks down numbers based on place value


Reinforces prior understanding

Is repeatable

Is not very efficient


Image


Order of operations

PEMDAS can be confusing

Use this instead:

Grouping

Exponents

M/D Divide or Multiply (Left to Right)

S/A Add or Subtract (Left to Right)


Image

Image

Numbers

Decimals

Decimals are fractions

Do not say line up your decimals, Say line up your whole numbers.


1.0 Ones

0.1 Tenths

0.01 Hundreths

0.001 Thousandths


Image

Multiply/ Divide
Add/Subtract
Fractions

*Do not teach to solve using improper fractions*


Top number is how many pieces we have

Bottom number is the size of the pieces


Showing Fractions

Multiplying/ Dividing Fractions

*Do not say cancel out* say "funky 1" instead

Image

Adding/ Subtracting Fractions

Image

Comparing Fractions

Less than symbol looks like an L <

Greater than symbol >


Reasoning for comparing fractions:

same denominator

numerator the same so went with (bigger/ smaller) pieces

anchor fractions ( bigger/ smaller than half)

Bigger or smaller pieces (number) away

Image

Integers
Multiplying/ Dividing

Same sign gives you a positive answer

Different sign gives you a negative answer


Images

Subtracting

Adding inverse: KCC or Keep Change Change


Images

Adding

Images

Prime

Prime numbers

Composite

Composite Numbers