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II Rod m.ultiplication Cuisenaire rods, metre rule

Each rod has been given a letter to represent its colour.
Each rod has been given a value to represent its length in centimetres.
So for the green rod, we can say g = 3.

pink (p) black (b)

tan (t)
yellow (y)

green (g) dark green (d) red (r)

ITJ Write an equation for each rod using its letter and value.

[I] Work out the solutions to these equations.
Use rods and
a t x 9 = b y x 20 = c d x 7 = d b x 12 = a metre rule
to check solutions.
@] Complete these equations.

a (t x 9) + (y x 5) = ... b (p x 10) + (bx ... ) = 89
c (bx ... ) - (r x 6) = 51 d (g x 8) + (d x 5) = ...
e ( t x ... ) + (p x 7) = 68 f (bx 10) ... (y x 7) = 35

~ Make up 4 more equations with at least 2 sets of brackets.

@] Use letters to complete this equation
( ... x 9) + ( ... x 6) = ...
in different ways to give:

a 3 solutions between 50 and 70 b 3 solutions between 70 and 100.

CHALLENGE
Decide the best way to find the value of the missing letters .

• ( ... x 4) + (g x 8) = 48 • (t x 4) - ( ... x 6) = 2 • ( ... x 8) + ( ... x 5) = 75

I STEPS 5:181