Semester 2 Topic 1 Level H

Task Name : Number stories Task Level : H (Year 7)
Semester : 1 Topic : Introducing Algebra VC Strand : Patterns and Algebra
Web Address :
Equipment Needed : nil
Victorian Curriculum outcome : Introduce the concept of variables as a way of representing numbers using letters. Extend and apply the laws and properties of arithmetic to algebraic terms and expressions.
Task description : Students create eight number stories, two involving addition, two involving subtraction, two involving multiplication and two involving division. Four of these stories must involve the use of brackets. For each story, the student must write the story, draw a picture and write a number sentence with a pronumeral representing the unknown number. They must then solve each story using inverse operations (you will need to explain what this is).
Assessment options : Photographs of drawings; digital equivalents using Paint or similar.

Teacher notes : Students can really struggle conceptually with this task: many donโ€™t seem to understand the difference where the unknown is at the end of the story compared. For students lacking imagination, provide a scaffold to help them create a story: the video provides models which can be easily adapted to involve addition, subtraction, multiplication and division. Be careful with the subtraction stories: if the student has the unknown at the beginning of the story, things can get confusing.

Extension task: Solve equations by balancing (see-saw analogy interactive)