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