Multiple representations of algebraic relationships

This lesson is about
different representations of algebraic relationships, namely equations, graphs, tables and words. This activity should be given to the class as a formative assessment activity: it is designed to provide the teacher with information about the learners’ current levels of understanding.

After a short introduction, during which the teacher models how to match different representations of the same relationship, the learner work in pairs or small groups. They are given an A3 poster with 5 different sets of small cards (graph cards, table cards, rule cards, equation cards and name cards). They are asked to match the cards representing the same relationship and to stick them on the poster. After the activity the teacher holds a class discussion aiming to go over the answers and elicit something about the students’ understanding.

After learners have filled in the record sheet and it has been checked, they are ready to play Rummy or Happy Families with the cards.

Rummy Game (2 – 4 players)  Play with 48 cards giving graphs, equations, tables and names. Deal 8 cards to each player and place the remaining cards face down on the table. In turn players put a set of 4 cards on the table if they have one, or put a card from their hand face down on the discard pile and pick up a card from the deck. The winner is the first player to collect 2 sets of 4 cards.

Rummy Game (2 – 6 players) Play with the complete set of 60 cards: graphs, equations, rules, tables and names. Deal 8 cards to each player and place the remaining cards face down on the table. In turn players put a set of 5 cards on the table if they have one, or put a card from their hand face down on the discard pile and pick up a card from the deck. The winner is the first player to collect 2 sets of 5 cards.

Note: This activity was designed as a formative assessment activity, in order to to provide the teacher with information about the learners’ current levels of understanding.

Teacher Guidance 
Small cards
Big cards
Big cards for modelling
Learner record sheet

Click here to download the MULTIPLE REPRESENTATIONS OF FUNCTIONS poster.