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### 21 Cards in this Set

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 First comp 11 discriptor • Perform operations using any of the subsets of the complex numbers second comp 11 discriptor • Represent arithmetic and algebraic algorithms in concrete, visual and paper pencil format third comp 11 discriptor • Analyze and justify procedures in arithmetic and simple algebraic problems. forth comp 11 discriptor • Use exponents to work with large and small numbers as well as algebraic representations. A. a b/ c = ac+ b/c A. a b/ c = ac+ b/c B) A/B =AD/BD =AD/BD C) A/B * C/D= AC/BD C) A/B * C/D= AC/BD D) A/B DIVEDED C/D = A/b * D/C= AD/BC D) A/B DIVEDED C/D = A/b * D/C= AD/BC MULTIPLICATION AND DIVISION. EXP. A/B IS THE SAME AS B/A b. By converting to a decimal form, we get 2.1 + = 2.1+0.5=2.6 c. 3+2i –(5+10i)=3+2i –5–10i = 3–5+2i–10i = -2–8i b. By converting to a decimal form, we get 2.1 + = 2.1+0.5=2.6 c. 3+2i –(5+10i)=3+2i –5–10i = 3–5+2i–10i = -2–8i IMAGINARY NUMBERS Imaginary Unit (i) i = -1 i = (-1) i2 = -1 Complex Number: CONNECTING REPRESENTATIONS OF ALGORITHIMS wHAT DO ALGORITHMS DO THEY GET YOU THERE! CONNECTING REPRESENTATIONS SHOW That moves using concrete materials yield the same results as a visual (pictorial) representatin and the paper/pencil algorithm CONNECTING REPRESENTATIONS OF ALGORITHIMS concrete model using base 10 blocks CONNECTING REPRESENTATIONS OF ALGORITHIMS visual model with a rectangle paper/pencil 17*23=21 (3*7) 30(3*10) 140(20*7) 200(20*10) Laws of exponents m^-5(m^7)= m^-5(m^7)=m^3 Laws of exponents m^6/m^8=m^-2 m^-2 or 1/m^2 Laws of exponents (m^3)^4=M^12 M^12 (multiply do example 1 in the text page 49 did you answer and understnd the prob.? EXAMPLE OF MULTIPLYING BINOMIALS: Do the multiplication problem in midde of page 48 DID YOU COMPLETE THE PROBLEM? DiVISION: INCLUDED THE MULTIPLICATIONS AND THE CONJUGATES DO PROBLEM IN THE MIDDLE OF PAGE 48 DID YOU COMPLETE THE PROBLEM?