Addition

Set Model of Addition

Measurement Model of Addition

Rods

Subtraction Models

Take Away (sets)

Missing Addend

Comparison (how many more)

Number line

Multiplication

• Multiplication as repeated addition

• Sets

• Number Line

• Rectangular Area

Division of Whole Numbers• Repeated Subtraction

• Partition

• Missing Factor

How many groups?

• A ÷ B• 8 ÷ 2• 8 objects are divided into groups with 2 objects in

each group.

• “How many Groups?”

Adding & Subtracting in Other Bases

143 five

+234 five

Subtract

231 five 434 five

144 five 243 five

32 five 141 five

Convert to Base 10 notation

413 five 2004 five

100 five 214 seven

213 six 415 six

2E4twelve 1TEtwelve

Subtract

231 five 434 five

144 five 243 five

32 five 141 five

Test for divisibility

A number N is divisible by• 2 if the last digit is an even digit(0,2,4,6,8).• 3 if the sum of the digits is divisible by 3.• 5 if the last digit is a 0 or 5.• 6 if it is divisible by 2 & 3.• 9if the sum of the digits is divisible by 9.• 10 if the last digit is 0.

Tell which of the following are divisible by 2,3,5,6,9,or10

• 43,826• 111,111• 26,785• 5,280

• Finding GCF & LCM by using Prime Power Representation.

• Euclidean algorithm.• Venn Diagrams

Integer Representation

• Colored countersBlack = +Red = -Game keeping score.• Mail Time Representation• Number Line Representation

Addition of Integers

• Represent sum of integers using colored counter diagrams.

• Mail Time Stories ( pg 297)• Number Line

Subtraction of Integers

• Using colored Counters.• 7- 4• BBBBBBB• -8 - -3• RRRRRRRR

Draw Diagrams for each of the following:

• 7 – 4• -3 - -2• 8 - -5• 7 – 10• -7 - 3

Mail Time Stories

• Pg 317• Multiplication• Division•

Order of Fractions

• a/b is less than c/d if and only if ad < bc.

• Mickey Mouse.• Fraction strips Pg 355• Diagrams.• Activity 5• Comparing fraction by Reasoning

Adding & Subtracting Fractions with different denominators.

Pattern Block Worksheet.Activity 7 wkst.

X =

Division of Fractions

• What is the whole• Using pattern blocks• Diagram• Word Problems for x & /• Percents – diagrams• Ratios & Proportions.