Patterns and Algebra: Level E

Number Patterns

Your task is to describe a number of investigations. Here is an example….

And here is a list of investigations you can conduct (you can use this interactive if you like):


What is the relationship between the number of lines and the number of stars?


What is the relationship between the number of dots and the number of pentagons?


What is the relationship between the number of lines and the width?


What is the relationship between the number of lines and the length of the cross arms?


What is the relationship between the number of lines and the number of triangles?

Number Sentences

Make three stories that show how you would work out three unknowns โ€“ one using addition, one using subtraction, and one using multiplication. Show you understand that subtraction is the opposite of addition, addition is the opposite of subtraction, and division is the opposite of multiplication. An example of all three is below.