Associative Property

Study content

• apply a practical understanding of associativity to aid mental computation

Learning goals

understand and implement associative property in the calculation

Working Mathematically

• determine by example that associativity holds true for multiplication of three or more

numbers but does not apply to calculations involving division, eg (80 ÷ 8) ÷ 2 is not

equivalent to 80 ÷ (8 ÷ 2) (Communicating)

Description of Lesson:

• Orientation [5 mins] - Review Commutative Property from the previous lesson. Teacher-What if we have three factors? Students complete Commutative Property: multiplication (three factors) .
• Introduction [10 mins] - Introducing the "Associative Laws" is that it doesn't matter how you group the numbers (i.e. which you calculate first). (Associative Property only apply on addition and multiplication). When we add, (a +b)+c=a+(b +c), for example, (6+3)+4=6+(3+4). When we multiply, (a*b)*c= a*(b*c), for example, (2*4)*3=2*(4*3). We also could call it “any order law.”
• Body
• Activity 1 [20 mins] – Commutative and Associative Dice- Teacher to hand out per pair a Worksheet 3. Teacher to walk around the room to be of assistance during the activity.
• Material

Dices

Worksheet

Pen or pencil

• Instruction

Step1:In pairs, player 1 rolls three dice and record them on the score sheet in any order. For example, 5+1+2=8. Player 1 has a score of 8.

Step2: Player 2 rolls three dice: a six, a two and a four. When sixes are rolled, the player must reroll but before player2 roll again, he must record the two and the four, like this: (2+4) or (4+2) to show that he rolled those two dice on the first roll. Now player2 rerolls the six and get a 1 and adds it like this : (2+4)+1=7. Player2 has a score of 7. Player 1 wins the first round.

Step3: What if a play roll 2 sixes? The player records the 3, then groups them together to show that they were rolled the second time, like this: 3+(2+2)=7.

Students are to discuss which property they use? When they apply the commutative property and when they apply the associative property?

• Activity 2 [10 mins] - Kahoot！ Students complete online game- https://create.kahoot.it/details/40171d78-8acc-4ecf-9072-d68a28cbe5fe
• Conclusion [5 mins] - Teacher-led discussion recapping the key learning ideas what is associative property.
• Homework- Have students complete Commutative or Associative Worksheet

Reflection question: Did using the “Kahoot” technology in that lesson enhance student learning?