early division on mathline on mathline. early division early divisionincludes early division...
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Early DivisionEarly Division on MathLineon MathLine
Early Division
Early divisionEarly division includesincludes:
• Division as Repeated SubtractionDivision as Repeated Subtraction
• Breaking into Equal Groups orBreaking into Equal Groups or
Students think about Students think about Early Division Early Division
both ways!both ways!
Early Division
• Equal Groups DivisionEqual Groups Division
• Division as Repeated SubtractionDivision as Repeated Subtraction
• Computational DivisionComputational Division
• Division with RemaindersDivision with Remainders
Division on MathLineDivision on MathLine includesincludes::
• Long Division (single digit divisor) Long Division (single digit divisor)
Early Division
MathLine MathLine will effectively model will effectively model
ALL ALL aspects of division aspects of division for your students!for your students!
Early Division
This lesson covers This lesson covers
Early Division
• Equal Groups DivisionEqual Groups Division• Division as Repeated SubtractionDivision as Repeated Subtraction• Computational DivisionComputational Division
Equal Groups DivisionEqual Groups Division
Early Division
using ‘trial & error’using ‘trial & error’
If we have 18 cookies in a jar, If we have 18 cookies in a jar, and we put them into and we put them into
3 equal piles. 3 equal piles. How many in each pile?How many in each pile?
Early Division
Find 3 equal groups Find 3 equal groups
Early Division
Find 3 equal groups Find 3 equal groups of 18 using ‘trial & error’of 18 using ‘trial & error’
18 ÷18 ÷ 33
Early Division
Groups of 7?Groups of 7?
18 ÷18 ÷ 33
Early Division
1 2 3 4 5 6 7
Groups of 7?Groups of 7?
18 ÷18 ÷ 33
Early Division
1 2 3 4 5 6 7
Groups of 7?Groups of 7?
18 ÷ 18 ÷ 33
Early Division
1 2 3 4
NoNo
Groups of 7, 7 & 4 Groups of 7, 7 & 4 are not equalare not equal
18 ÷ 18 ÷ 33
Early Division
7 7 4
Groups of 6?Groups of 6?
18 ÷18 ÷ 33
Early Division
1 2 3 4 5 6
Groups of 6?Groups of 6?
18 ÷18 ÷ 33
Early Division
1 2 3 4 5 6
18 ÷18 ÷ 33
Early Division
1 2 3 4 5 6
Yes Yes Groups of 6?Groups of 6?
Early Division
18 ÷18 ÷ 33 = 6 = 6
See 18 divides by 6 - 3 times.See 18 divides by 6 - 3 times.So each pile has 6 cookies.So each pile has 6 cookies.
1 2 3
Division asDivision as Repeated Subtraction Repeated Subtraction
Early Division
If we have 24 students If we have 24 students playing soccer at gym time, playing soccer at gym time,
and they split up into teams of 6. and they split up into teams of 6. How many teams are there to How many teams are there to
play soccer?play soccer?
Early Division
Now divide by Now divide by subtracting subtracting
Early Division
Division as Division as repeated subtractionrepeated subtraction
One group of 6 from 24One group of 6 from 24
24 ÷ 6 = 24 ÷ 6 =
Early Division
123456
24 ÷ 6 = 24 ÷ 6 =
Early Division
Two groups of 6 from 24Two groups of 6 from 24
123456
24 ÷ 6 = 24 ÷ 6 =
Early Division
Three groups of 6 from 24Three groups of 6 from 24
123456
24 ÷ 6 = 24 ÷ 6 =
Early Division
Four groups of 6 from 24Four groups of 6 from 24
123456
24 ÷ 6 = 24 ÷ 6 = 44
Early Division
Answer is 4, Answer is 4, or there will be 4 teams or there will be 4 teams
to play soccer.to play soccer.
1 2 3 4
Computational division Computational division
Early Division
Typically done through Typically done through repeated subtraction repeated subtraction
22 ÷ 4 =22 ÷ 4 =
Early Division
22 ÷ 4 =22 ÷ 4 =
Early Division
1234
22 ÷ 4 =22 ÷ 4 =
Early Division
1234
22 ÷ 4 =22 ÷ 4 =
Early Division
1234
22 ÷ 4 =22 ÷ 4 =
Early Division
1234
22 ÷ 4 =22 ÷ 4 =
Early Division
1234
22 ÷ 4 = 22 ÷ 4 = 55
Early Division
12
5 groups of 4 5 groups of 4 With how many left over?With how many left over?
Early Division
12
With two left over, remainder of 2With two left over, remainder of 2
22 ÷ 4 =22 ÷ 4 = 5 r 25 r 2
Early Division
12
22 ÷ 4 =22 ÷ 4 = 5 r 25 r 2
Notice that remainder 2 Notice that remainder 2 is also 2 of 4is also 2 of 4
22 ÷ 4 =22 ÷ 4 = 5 r 25 r 2
Early Division
12
Equal to Equal to 2/42/4 or or 1/21/2
22 ÷ 4 =22 ÷ 4 = 5 r 1/25 r 1/2
Computational division Computational division
Early Division
also can divide also can divide from left to rightfrom left to right
Early Division
1 2 3 4
22 ÷ 4 =22 ÷ 4 =
Early Division
1 2 3 4
22 ÷ 4 =22 ÷ 4 =
Early Division
1 2 3 4
22 ÷ 4 =22 ÷ 4 =
Early Division
1 2 3 4
22 ÷ 4 =22 ÷ 4 =
Early Division
1 2 3 4
22 ÷ 4 =22 ÷ 4 =
22 ÷ 4 =22 ÷ 4 =
Early Division
1 2 3 4 5
5 groups of 4 5 groups of 4 With how many left over?With how many left over?
Early Division
With two left over, remainder of 2With two left over, remainder of 2
22 ÷ 4 =22 ÷ 4 = 5 r 25 r 2
1 2