Indices inquiry
Inquiry Maths
Inquiry Maths
+3
+5
+11
+7
+9
What are the meaning of the lines?
For teacher’s use Examples of students’ comments and questions
Inquiry Maths
Inquiry Maths
Task 1
Draw an arrow from the squares to the number line.
Describe any patterns you notice.
Patterns I notice
………………………………………………………………………………………………………………………………………………………………………………………….
………………………………………………………………………………………………………………………………………………………………………………………….
………………………………………………………………………………………………………………………………………………………………………………………….
Inquiry Maths
Number
Squares
Task 2
Plot the squares on a graph.
Describe any patterns you notice.
Patterns I notice
………………………………………………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………………………………………………
For teacher’s use Examples of students’ comments and questions
Inquiry Maths
Represent your results on a 10-point circle.
Inquiry Maths
Question
Can we connect the digits in the units column of cubes?
What about numbers to the power 4, 5, 6, etc.
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
Question
What happens if we keep the base constant and change the exponent?
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
Question
The gap between the squares follows a pattern: 3, 5, 7, 9, etc. Is there a pattern between the cubes?
Square | Gap |
1 | |
4 | 3 |
9 | 5 |
16 | 7 |
25 | 9 |
36 | 11 |
49 | 13 |
64 | 15 |
81 | 17 |
100 | 19 |
Cube | Gap |
1 | |
8 | 7 |
27 | 19 |
| |
| |
| |
| |
| |
| |
| |
Question
What do you notice about the similarities and differences in the three tables?
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
Question
Are the equations in sets 1 and 2 correct?
Write down the next two lines for each set.
Describe the patterns you notice.
Set 1
Set 2
Inquiry Maths