Camp dinners

Overview

Using this Resource

Connecting to the Curriculum

Marking Student Responses

Working with Students

Further Resources

This task is about different meal combinations and tree diagrams.

Ari was at a school camp. For dinner he could choose from:

Ari's choices are shown in the tree diagram below.

Question 2Change answer

a) How many of the different combinations of dinners have ...

i) a pie?

ii) potatoes?

iii) a salad?

iv) rice and salad?

v) fish and peas?

b) In total, how many different combinations of dinners are there for Ari to choose from?

Task administration:

This task is completed with pencil and paper only.

Level:

Curriculum info:

Keywords:

Description of task:

Students work out and count the different meal combinations available as shown in a tree diagram.

Curriculum Links:

This resource can be used to help to identify students' understanding of using models of all possible outcomes.

Learning Progression Frameworks

This resource can provide evidence of learning associated with

within the Mathematics Learning Progressions Frameworks.

Answers/responses:

			Y8 (05/1998)
a)	i) ii) iii) iv) v)	4 6 6 3 2	difficult difficult easy easy moderate
b)	12		difficult

Diagnostic and formative information:

	Common error	Likely reason
a)i) i) ii) iv) v)	1 2 3 9 7	Counts number of times "pie" appears. Counts number of times "potatoes" appears. Counts number of words immediately below "pie". Counts number of times either "rice" or "salad" appear. Counts number of times either "fish" or "peas" appear.
b)	21 7	Total number of words in tree diagram. Total number of different types of food.
b)	Various	Adds a) i) + ii) + iii) + iv) + v).