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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.
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“How many Groups?”
Adding & Subtracting in Other Bases
143 five
+234 five
Subtract
231 five
144 five
32 five
434 five
243 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
144 five
32 five
434 five
243 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
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43,826
111,111
26,785
5,280
• Finding GCF & LCM by using Prime Power
Representation.
• Euclidean algorithm.
• Venn Diagrams
Integer Representation
• Colored counters
Black = +
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
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Using colored Counters.
7- 4
BBBBBBB
-8 - -3
RRRRRRRR
Draw Diagrams for each of the
following:
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7–4
-3 - -2
8 - -5
7 – 10
-7 - 3
Mail Time Stories
• Pg 317
• Multiplication
• Division
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Order of Fractions
• a/b is less than c/d if and only if ad < bc.
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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
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What is the whole
Using pattern blocks
Diagram
Word Problems for x & /
Percents – diagrams
Ratios & Proportions.