KUS objectives BAT Use the rules of indices

KUS objectives BAT Use the rules of indices BAT Use the rules for Surds BAT understand line graphs Starter: Factorise Solve x 2 + 7 x + 12 = 0 x 2 + 8 x - 20 = 0 x 2 - 5 x + 6 = 0

Chapter 7: INDICES Examples Writing as powers of 5

Chapter 7: INDICES more complex powers Examples The reciprocal of one quarter is 4 2 to power 4 is 16, so 2 to power -4 is the reciprocal of 16 Numbers to power zero are all one Negative powers are reciprocals of the positive power The reciprocal of 5 is 1/5 3 to power of 2 is 9, so the reciprocal is 1/9 The reciprocal of four fifths is five quarters One quarter to power 2 is 1/16, so the reciprocal is 16

Chapter 7: INDICES fractional powers Examples Numbers to power 1/3 are cube roots. So the cube root of 8 is 2 Numbers to power 3/2 are square roots first. The square root of 4 is 2 Then 2 cubed is 8 Numbers to power 1/2 are square roots. So the square root of 25 is 5 Numbers to power 2/3 are cube roots first. The cube root of 8/27 is 2/3 Then 2/3 squared is 4/9 Numbers to power 1/4 are fourth roots. So the fourth root of 10000 is 100 Numbers to power -3/2 are square roots first. The square root of 25/36 is 5/6 Then 5/6 cubed is 125/216 Lastly it’s a negative power so the reciprocal of 125/216 is 216/125

Chapter 8: SURDS Rationalise

Chapter 8: harder SURDS Rationalise

Chapter 9: straight line graphs Draw the graph of y = 2 x + 1

Chapter 9: straight line graphs Plot the straight line using the gradient and y-intercept y = - ½ x + 2

Chapter 9: straight line graphs gradient and y-intercept Rewrite the equation 3 y – 2 x = 5 into the form y = mx + c Find the gradient and the y-intercept Find the gradient of the line which passes through the points A (1, 4) and B (-3, 2) Find the equation of the straight line which passes through the points (1, 3) and has gradient 2

SOLUTIONS TO THE EXERCISES

SOLUTIONS TO THE EXERCISES

SOLUTIONS TO THE EXERCISES

KUS objectives BAT Use the rules of indices BAT Use the rules for Surds BAT understand line graphs One thing I will do For the next lesson …. One thing I need to remember for next lesson …. One thing I understood well is …. Plenary pyramid

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