Review of Grade 9 (and prior)
Day 2:
Exponent Laws
Pythagorean Theorem
Evaluating Expressions and Formulae
Exponents: What are they & how do they work?
Two people each had two children. Those children each had two children. Their children each had two children… This went on for 6 generations. How would we write that as a multiplication question?
# of People = 2(2)(2)(2)(2)(2)
Exponents: Six generations of two children.
Can we rewrite 2(2)(2)(2)(2)(2) simpler?
“Six multiples of two.”
26
Exponents: What are they & how do they work?
baseexponent = answer
Now what if we started combining families that had 3 children? Some are having 2, some 3...
Exponents: Combining
Let’s rewrite the following: 2(7)(7)(2)(7)(2)(2)(2)
What about something like 24(26) ? Can we simplify?
Exponents: Multiplying same base
Simplify 24(26):
Exponents: Dividing same base
Simplify 25 ÷ 23:
Exponents: PowerPower
Simplify (25)3:
Exponents: BaseZero
Simplify 20:
Pythagorean Theorem
c2 = a2 + b2
hyp2 = lega2 + legb2
Pythagorean Theorem
c2 = a2 + b2
hyp2 = lega2 + legb2
Solve for x:
Pythagorean Theorem
c2 = a2 + b2
hyp2 = lega2 + legb2
Solve for x:
Evaluating Expressions (calculate an answer)
Evaluate -3x + 4y if x = 3, y = -2
Evaluating Expressions (calculate an answer)
Calculate the volume of a cylinder with a height of 10cm and a diameter of 2cm.
Review of Grade 9 (and prior)
Day 2:
Exponent Laws
Pythagorean Theorem
Evaluating Expressions and Formulae