Multiplication is joining together several sets of the same size.
Repeated addition is a fundamental model for multiplication,
e.g., 3 × 6 = (2 × 6) + 6 = [(1 × 6) + 6] + 6 = 6 + 6+ 6
Multiplication includes the facts to 10 × 10.
Students can also be exploring division strategies, and learning division basic facts at the same time as learning about multiplication.
We will use the convention that 4 × 7 is the same as 4 lots of 7. This means that the 4-times table is column 4 of Tables 7 and 8.
A most likely order to memorise the tables is:
1- and 10-times table because adding on 1 is very easy, as is adding on 10 if the students understand place value. 2-timestable because adding on 2 is very simple 5-times table which is just the intermediate jumps of the 10-times table.
3-times and 4-timestables. Adding on small amounts is easier than large amounts.
6- to 9-times tables.These can be approached by repeated addition, but it is increasingly difficult to do this using addition alone without exploiting derived facts or patterns. It is useful for students to derive each table using repeated addition.
A. 1-, 10-, 2-, and 5- times table
1-times table:Purple
This is just the counting numbers; 1, 2, 3, 4, …, 9.
10-times table: Blue
The sequence 10, 20, 30, 40, is jumps (repeated addition) of 10 rather than 1.
2-times table: Blue
It can easily be obtained from repeated addition of 2.
It is just the sequence of doubles. Students often know this from their addition knowledge (plus commutativity). e.g. 4 × 2 = 2 × 4 = 4 + 4 = 8
5-times table: Blue
This follows from the 10-times table, just filling in the jumps half way between the successive 10s. Table 7 1, 2, 5, and 10 times tables SecondNumber
Multiplication
e.g., 3 × 6 = (2 × 6) + 6 = [(1 × 6) + 6] + 6 = 6 + 6+ 6
A most likely order to memorise the tables is:
- 1- and 10-times table because adding on 1 is very easy, as is adding on 10 if the students understand place value.
- 3-times and 4-times tables. Adding on small amounts is easier than large amounts.
- 6- to 9-times tables.These can be approached by repeated addition, but it is increasingly difficult to do this using addition alone without exploiting derived facts or patterns. It is useful for students to derive each table using repeated addition.
A. 1-, 10-, 2-, and 5- times table2-times table because adding on 2 is very simple
5-times table which is just the intermediate jumps of the 10-times table.
1-times table: Purple
This is just the counting numbers; 1, 2, 3, 4, …, 9.
10-times table: Blue
The sequence 10, 20, 30, 40, is jumps (repeated addition) of 10 rather than 1.
2-times table: Blue
It can easily be obtained from repeated addition of 2.
It is just the sequence of doubles. Students often know this from their addition knowledge (plus commutativity). e.g. 4 × 2 = 2 × 4 = 4 + 4 = 8
5-times table: Blue
This follows from the 10-times table, just filling in the jumps half way between the successive 10s.
Table 7 1, 2, 5, and 10 times tables
SecondNumber