LO Using pictures to represent directed number calculations. RAG Key Words: Positive, Negative, Infinite 28-Nov-18 Which of these statements is the odd one out? Why ? “Any number multiplied by zero equals zero.” “Multiplying by ½ is the same as dividing by 2.” “When you multiply any number by 10 you add a zero to the end of the number.”
Mini white boards ready…
This diagram represents an infinite number of positive and negative charges cancelling each other out….
Start by drawing a set of positive and negative charges, in pairs so that they cancel each other out….
How could we represent (+2) + (-3) ?
How could we represent (+2) + (-3) ? (+2) + (-3) = -1
How could we represent (+2) - (-3)
How could we represent (+2) - (-3) (+2) - (-3) = 5
How could we represent (-2) - (-4)?
(-2) - (-4) = +2
An infinite number or positive and negative charges How could we represent (-3) x (+2) ?
An infinite number or positive and negative charges (-3) x (+2) = -6
An infinite number of positive and negative charges cancelling each other out…. How we would represent (-3) x (-2)?
An infinite number of positive and negative charges cancelling each other out…. (-3) x (-2) = +6
Today’s Task Draw pictures to represent the calculations below:- Have you noticed any patterns / rules. Can you describe them? Can you predict what the answers to the following calculations would be? (-35) ÷ (5) = (+12) ÷ (-4) = (-6) ÷ (-3) = Easier Harder Hardest (+2) + (-6) = (+2) – (-5) = (-2) x (+ 4) = (-2 + (+5) = (+3) – (-4) = (-4) x (+ 2) = (-5) – (+3)= (-5) – (-2) = (-2) x (-3) = (-4) + (-5) = (-6) – (-4) = (-2) x (-4) =
YEAR 8 TASK
Class Discussion – What did you notice?