Week One:

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Week One:

MTE 280

Number Theory

-Types of Numbers

-Divisibility

-Factors-multiples>Fraction work

Divisibility Rules

*Last Digits

-By 4: Last two digits are divided by 4

*Ending

-By 2: 0,2,4,6,8

-By 5: 0,5

-By 10: 0

*Sum of Digits

-By 3: Sum of digits is divided by 3

Make sure students understand the problem by having them explain the problem in their own words or show how to complete it.

Make sure students:

4.) Look back reasonably

Week Two:

Numeration Systems

-Base-10 System

-The Value of the number depends on the place

-The numbers get bigger by 10 times (1/10) x (1/10)= (1/100)

Numbers to the right of the decimal are part of the unit

Whole Number Operations

Division

Week Four:

Multiplication

Subtraction

Week 5:

Meanings

1.) Take Away 5-2=3

2.) Comparison

3.) Missing Add End

7-3=4

7 is the Minuend

3 is the subtrahend

4 is the Difference

Intager Subtraction

Left to Right Algorithm

Reverse Indian

European Mexican

Addition

Meaning (Put together/Join)

Week Three:

1.) Identity Property: a+0=a

2.) Commutative Property: a+b=b+a

Associative Property: (a+b)+c=a+(b+c)

Lattice

Expanded Notation

Place Value Explicit

Left to Right

Left to Right Algorithom

Right to Left

Partial Sums with Place Value

Partial Sums

American Standard

When teaching make sure students

1.) Understand

2.) Plan

3.) Implement

Look back to check if results are reasonable

Polya's four steps to problem solving

1.) Understand the problem

2.) Devise a plan

Ask youeself what problem solving strategy are you going to use?

Guess and use check/trial and error

Draw a picture or a diagram

Act it out

Make the problem simpler

Look for the pattern

Work backwards

Make an organized list

3.) Carry out the plan

Look back (reflect)