Study content

• use an appropriate non-calculator method to divide two- and three-digit numbers by a two-digit number
• show the connection between division and multiplication, including where there is a remainder

Learning goals

• Be able to solve two-digit and three-digit numbers divide by a two-digit number
• Understand the expression with a reminder
• Be able to solve division word problems

Working Mathematically

• compare initial estimates with answers obtained by written methods and check by using

a calculator (Problem Solving)

Description of Lesson:

• Orientation [5 mins] – Review digit by digit by watching a short video (Long division song)- https://www.youtube.com/watch?v=CcGB39f66RY. Teacher- What if we have a bigger division? What if we have to divide by a two-digit number?
• Introduction [10 mins] – Given an divide by a two-digit number example. Mention it is helpful to write the multiplication table of the divisor before divide.

Example 1: 888/12=74

The division is by 12. Here is the multiplication table of 16:

1 ×12 = 12

2 ×12 = 24

3 × 12 = 36

4 × 12 = 48

5 × 12 = 60

6 × 12 = 72

7 × 12 = 84

8 × 12 = 96

9 × 12 = 108

Teachers note: 12 goes into 8 zero times, so we look at 88. How many times does 12 go into 88? Check in the table on the left. We see it goes into 88 seven times. Lastly, 12 goes into 48 exactly 4 times, and the division is over. The answer is 74.

• Body
• Activity 1 [20 mins] – Stamps Game
• Material

Large quantities of wooden squares of equal size about 1 inch square like stamps:

Each stamp of 1 is green marked with ‘1’.

Each stamp of 10 is blue marked with ‘10’.

Each stamp of 100 is red marked with ‘100’.

Each stamp of 1000 is green marked with ‘1000’.

A pencil and ruler

Special grid paper

• Instruction (example: 4583/12)

4583 includes 3 units, 8 tens, 5 hundred and 4 thousand

Have the student place 4 green stamps, 5 red stamps, 8 blue stamps and 3 green stamps

12 includes 2 units and 1 tens, place 1 blue skittle and 2 green skittles

Begin by giving the blue skittle a stamp of a thousand. If the blue skittle gets a thousand stamp , the green stamps must each get a hundred stamps because the green stamps is ten times less than the blue stamp.

Give each green skittle a hundred stamps for every thousand stamp you give to the blue skittle.

When there are two thousand stamp but only a hundred stamp left , change one of the thousand stamps for ten hundreds. Give the last thousand to the blue skittle and 2 hundred stamps to the 2 green skittles.

Continue in this way, giving the green skittles ten times less what you give the blue skittle. Once all of the stamps that can be shared are shared. Have the student count the stamps for one of green skittles and write in how any units, tens, hundreds, and thousands one skittle gets and have the student write the remainder if have.

• Activity 2 [10 mins] – Online practice https://au.ixl.com/math/year-6/divide-by-two-digit-numbers
• Conclusion [5 mins] - Students discuss the key learning ideas :

(i) What do you learn from stamps game?

(ii) What is the difference between digits by digit and digits by two-digit ?

• Homework Have students complete Long Division Worksheet

Reflection question: Did using concrete materials in the lesson enhance student learning?

Did using hands-on or concrete materials mean you are doing a problem solving activity.