Sandwich combinations

Sandwich combinations

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about finding all possible combinations.

Cut out each of these pictures and follow your teacher's instructions.

Chicken

Chicken

Chicken

Ham

Ham

Ham

Salami

Salami

Salami

Tomato

Tomato

Tomato

Lettuce

Lettuce

Lettuce

 

Task administration: 
This task is completed with pencil and paper only.
 
[Equipment: Two sets of Food Pictures per student, (all the pictures need to be cut out separately); large piece of paper per student; glue or tape.]

  • This assessment activity can be carried out with a group of students sitting apart from each other or with one student at a time.
  • You might need to indicate which foods are meats.
  1. Read the following instructions out to the student(s):
    Today we are going to make sandwiches. Here are some pictures of the different fillings we have. You are allowed to choose one meat filling and one other filling to go in your sandwich. Show me all the different combinations of sandwich fillings it would be possible to have. For example, one combination could be chicken and tomato. 
  2. Take a chicken and a tomato picture. Place them together as a model of what to do.
  3. Now say to the students:
    Use the pictures to show all the other combinations of fillings you could put in your sandwich. You do not have to use up all the cards. When you have made all the combinations that you can, glue or tape them on to a large piece of paper.

Optional activity
Real food (chicken, ham, salami, lettuce, tomato, bread, margarine) can be provided for this activity. When the student(s) has/have made all the combinations they can with the cards, get them to choose the combination they like best to make and eat.

Levels:
2, 3
Curriculum info: 
Maths, Statistics, Probability
Keywords: 
combinations
Description of task: 
In this practical task, students use pictures of meat and salad fillings to work out all possible combinations of sandwiches. An optional activity is to make actual sandwiches.
Curriculum Links: 
This resource can be used to help to identify students' understanding of finding all possible outcomes for simple chance situations.
 
 
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Interpreting statistical and chance situations, set 3
Interpreting statistical and chance situations, sets 3-4
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 

 

   Answers/repsonses

Full credit

 

Patial credit

 

 

Lower credit 

 
5 correct combinations and no incorrect combinations.
 
3-4 correct combinations and no incorrect combinations or 
5 correct combinations and 1 incorrect combination.
 
3-4 correct combinations with 1 incorrect combination or 
2 correct combinations and no incorrect combinations.
 
NOTE: Incorrect combination includes repetition.

Remaining combinations possible (excluding the modelled combination of chicken and tomato).

  • Chicken and lettuce.
  • Ham and tomato.
  • Ham and lettuce.
  • Salami and tomato.
  • Salami and lettuce.

[Accept these combinations in any order.]