Tuesday Sept 22 2020 Welcome to Dr Fongs

Tuesday Sept. 22, 2020 Welcome to Dr. Fong’s math class! When I do attendance, you can do the Bell ringer A square patio has an area of 200 square feet. How long is each side of the patio to the nearest 0. 05?

Bell ringer A square patio has an area of 200 square feet. How long is each side of the patio to the nearest 0. 05? 112=1 21 2=1 12 Solution: 44 200 is between 196 and 225, and closer to 196. 132=1 Starting to estimate at 69 14. 12 = 14. 1 x 14. 1 = 198. 81 142=1 ← 200 is in 14. 15 2 96 14. 2 = 14. 2 x 14. 2 = 201. 64 between 152=2 Each side of the patio to the nearest 0. 05 is about 14. 15 25 feet. 162=2 56 2

Review 12 =1 22 = 4 32 = 9 42 = 16 52 = 25 62 = 36 72 = 49 82 = 64 92 = 81 102=10 0 112=1 13 =1 21 23 = 8 122=1 33 = 27 44 43 = 64 132=1 53 = 125 69 63 = 216 142=1 73 = 343 96 83 = 512 152=2 93 = 729 25 103=100 162=2 0 How are real numbers used to describe real-world situations? 56 172=2

Concepts checking: a naturalnumber. 1. The sum of 2 natural numbers is _______ 2. The difference of 2 natural numbers must be a natural number? Not number? always. 3. Is 21 a whole . 4. The product of 2 natural. Yes numbers is ______ number. a natural 5. Is 2. 4 a natural number? No. 6. The quotient of 2 natural numbers must be a natural number? Not always.

Review Module 1 Real Numbers

Module 2 Exponents and Scientific Notation Lesson 1 Integer Exponents

Exponential expressions an integer exponent or power the base number n a an = a x … x a n For example, 34 = 3 x 3 x 3 = 81

Using Patterns of Integer Exponents 51 = 5 52 = 5 x 5 = 25 53 = 5 x 5 = 125 54 = 5 x 5 x 5 = 625 55 = 5 x 5 x 5 = 3, 125 56 = 5 x 5 x 5 x 5 = 15, 625 57 = 5 x 5 x 5 x 5 = 78, 125 58 = 5 x 5 x 5 = 390, 625 59 = 5 x 5 x 5 = 1, 953, 125 510 = 5 x 5 x 5 x 5 = 9, 765, 625 12 =1 22 = 4 32 = 9 42 = 16 52 = 25 62 = 36 72 = 49 82 = 64 92 = 81 102=10 0 13 =1 23 = 8 33 = 27 43 = 64 53 = 125 63 = 216 73 = 343 83 = 512 93 = 729 103=100 0

When integer exponents are 0 or negatives:

Find the value of each power.

Exploring Properties of Integer Exponents 53 • 54 = (5 • 5) • (5 • 5 • 7 2 6 5) = 5 3 • 3 = (3 • 3) • (3 • 3 • 3 • 8 3) = 3 What pattern do you see when multiplying two powers with the same base? The result has the same base with an exponent equal to the sum of the exponents in the powers. General rule for the value: am. The an Product Rule: am an = am+n Example 24 23 = 24+3 = 27

Exploring Properties of Integer Exponents Investigate and discover other rules: Write a general rule for the value of (a m)n (a m )n = am • n (24)3 = (24) • (24) = 212

b 0 = 1 b: any nonzero real number. Use properties of exponents to write an equivalent expression.

This Friday you’ll have a class quiz on Exponents Rules.

Continue work on IXL skills: G 8 (last week assigned skills) Due last Sunday. • • Estimate positive and negative square roots cube roots of positive perfect cubes This week’s assigned practice: Due this Sunday • Evaluate negative exponents • Multiplication and division with exponents

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