FRACTION TEST Sections 4.1 through 4.6 Tuesday November 19, 2013 1. 2. 3. 4. 5. 6. 7. 8. 9. Relate Fractions to models Convert between mixed numbers and fractions Divisibility Tests Identify prime and composite numbers Find the prime factorization of a number Write a fraction in simplest form Fraction arithmetic Fraction arithmetic with variables too Simplify Complex Fractions 1. Relate Fractions to models Section 4.1 pages 207-211 A. Draw line(s) inside the hexagon to split it into trapezoids that are all the same size. i. How many trapezoids make up one hexagon? ______ ii. What part of a whole hexagon is one trapezoid? ______ (fraction) B. Draw line(s) inside the hexagon to split it into triangles that are all the same size. i. How many triangles make up one hexagon? ______ ii. What part of a whole hexagon is one triangle? ______ (fraction) check answers in the back of the book on page A6 Pg 215 #9 Pg 215 #13 Plot the point ¼ on the number line: 0 equivalent fraction you used: 1 1 4 2. Convert between mixed numbers and fractions Show work; simplify answers; check answers in the back of the book on page A6 Section 4.1 pg 218 #69 Section 4.1 Pg 218 #75 Section 4.1 Pg 219 #81 Section 4.1 pages 213-214 Section 4.1 Pg 219 # 83 3. Divisibility Tests Section 4.2 pages 221-223 Consider the number 4740. Is it divisible by ….? Tell why Divisible by 2? _____________ why? ___________________________________________________ Divisible by 3? _____________ why? ___________________________________________________ Divisible by 4? _____________ why? ___________________________________________________ Divisible by 5? _____________ why? ___________________________________________________ Divisible by 6? _____________ why? ___________________________________________________ Divisible by 8? _____________ why? ___________________________________________________ Divisible by 9? _____________ why? ___________________________________________________ Divisible by 10? _____________ why? __________________________________________________ 4. Identify prime and composite numbers Section 4.2 pages 221-223 What are the first 10 prime numbers? ____ ____ ____ ____ ____ ____ ____ ____ ____ ____ Why is 10 composite? ______________________________________________________________ 5. Find the prime factorization of a number Section 4.2 pages 221-223 Show the work of the “tree” followed by your answer using exponents as necessary. Check your answers on page A6 Section 4.2 Pg 230 # 1 Section 4.2 Pg 230 # 7 Section 4.2 Pg 230 # 15 6. Write a fraction in simplest form Section 4.2 pages 224-227 Show the original fractions followed by its simplest form. Check answers on page A6 Section 4.2 pg 230 #17 Section 4.2 pg 230 #25 Section 4.2 pg 230 #27 Section 4.2 Pg 230 #29 Section 4.2 Pg 230 #37 Section 4.2 Pg 231 #45 7. Fraction Arithmetic Sections 4.3 through 4.5: pgs 234-240, 246-254, 260-265 a. Multiply: multiply numerators and denominators b. Divide: turn into a multiply by the reciprocal of the second fractions c. Add and subtract: common denominators followed by add or subtract of the numerator Show all work. Check answers from section 4.3 on page A6 and from sections 4.4 and 4.5 on page A7 Section 4.3 Pg 241 #3 Section 4.3 Pg 241 #5 Section 4.3 Pg 241 #21 Section 4.3 Pg 241 #25 Section 4.3 Pg 241 #27 Section 4.3 Pg 243 #87 (show words first) 7. (continued) Fraction Arithmetic Sections 4.3 through 4.5: pgs 234-240, 246-254, 260-265 Section 4.4 Pg 255 # 5 Section 4.4 Pg 255 #21 Section 4.5 Section 4.5 Pg 266 #7 Section 4.5 Pg 266 #23 Section 4.5 8. Fraction arithmetic with variables too Pg 266 # 3 Pg 269 #89 (show words first) Sections 4.3 through 4.5: pgs 234-240, 246-254, 260-265 Show all work. Check answers from section 4.3 on page A6 and from sections 4.4 and 4.5 on page A7 Section 4.3 Pg 241 #9 Section 4.3 Pg 241 #11 Section 4.3 Pg 241 #31 8. (continued) Fraction arithmetic with variables too Show all work. Check answers from section 4.3 on page A6 and from sections 4.4 and 4.5 on page A7 Section 4.3 Pg 242 #35 Section 4.4 Pg 255 #9 Section 4.4 Pg 255 #27 Section 4.5 Pg 266 #19 Section 4.5 Pg 266 # 53 Section 4.5 Pg 267 #59 9. Simplify Complex Fractions Remember: fraction bar means divide. Show all work. Check answers on page A7 Section 4.6 Pg 277 #3 Section 4.6 Section 4.6 pages 273-275 Pg 277 #5 Section 4.6 Pg 278 #37 Advanced Pre-Algebra 7 Pd 6&7 Daily Math LogQuarter _2_ Date 12. 11-14-13 11. 11-13-13 10. 11-12-13 Learning Target: By the end of this period I will be able to . . . simplify complex fractions use fraction arithmetic add and subtract fractions 9. 11-11-13 add and subtract fractions 8. 11-08-13 multiply and divide fractions 7. 11-07-13 6. 11-06-13 5. 11-05-13 multiply and divide fractions divide fractions multiply fractions 4. 11-04-13 multiply fractions Advanced Pre-Algebra 7 Pd 6&7 Homework pg 279: 49-52 pg 267-268: 65-86 pg 257: 49-52 - "words" first pg 266: 11, 15, 22, 59-64 pg 255: 1-21 eoo pg 266: 1-13 eoo pg 242-244: 66-76 even, 98-102 even finish shading project pg 241: 25-32 pg 241-244: 8-24 every other even but NOT 12), 78-80 even, 86-92 even Mrs. Claus w.s. Daily Math LogQuarter _1_ Date 45. 10-29-13 44. 10-28-13 43. 10-25-13 42. 10-24-13 Learning Target: By the end of this period I will be able to . . . write a fraction in simplest form use the sieve of Eratosthenes to find primes find the prime factorization of a number convert between mixed numbers and fractions 41. 10-23-13 relate fractions to models Homework pg 230-231: 18-50 even pg 233: 87-92, 101-104 pg 230: 1 - 16 pg 218-219: 58 - 90 eoe (every other odd) pg 215-218: 7-26 all, 34-56 even Test Topics 1. 2. 3. 4. 5. 6. 7. 8. 9. Relate Fractions to models Convert between mixed numbers and fractions Divisibility Tests Identify prime and composite numbers Find the prime factorization of a number Write a fraction in simplest form Add, subtract, multiply and divide fractions Fraction arithmetic with variables too Simplify Complex Fractions Section 4.3 Pg 243 #87 (show words first) Section 4.5 Pg 269 #89 (show words first)