These lessons will involve the students in investigating, understanding & solving problems using:
• the rules for indices (where a, b ∈ R; p, q ∈ Q; ap, aq∈ Q; a, b ≠ 0):
• apaq = ap+q
• ap/aq = ap-q
• a0 = 1
• (ap)q = apq
• a1/q = q√a (q ∈ Z, q ≠ 0, a>0)
• ap/q = q√ap = (q√a)p (p,q ∈ Z, q ≠ 0, a>0)
• a-p = 1/ap
• (ab)p = apbp
• (a/b)p = ap/bp
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Writing index numbers as a power of 2
Khan
Positive and zero exponents of with positive and negative bases
Adding and subtracting radicals
Evaluating expressions with exponents
Positive and negative exponents
• How to express non -zero positive rational numbers in the form a× 10n , where n∈Z and 1 ≤ a < 10
• How to perform arithmetic operations on numbers in scientific notation
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