Finding a Percent of a Number (page 216)

LESSON Name 1 Finding a Percent of a Number (page 216) You already know how to change a percent to a fraction. Rewrite the percent as a fraction with a denominator of 100 and reduce. 25% = 25 100 = 1 5% = 5 100 = 1 150% = 150 20 100 = 1 1 2 To change a percent to a decimal, write the number as hundredths. 25% = 0.25 5% = 0.05 150% = 1.50 To find a percent of a number: 1. Change the percent to a fraction or decimal. 2. Then solve. Example: What number is 75% of 20? Change the percent to a fraction; then solve. is of 20 = 15 Change the percent to a decimal; then multiply. 0.750 20 15.00 Teacher Note: Review Fraction Decimal Percent on page 1 in the Student Reference Guide. Practice Set (page 21) Write each of these percents as a reduced fraction. a. 50% = b. 10% = c. 25% = d. 75% = e. 20% = f. 1% = Write the following percents as decimal numbers. g. 65% = h. 7% = i. 0% = j. % = k. 60% = l. 1% = m. What number is 10% n. Find 25% of. o. How much money of 50? is = is % of $15.00? of is 1 of 10 50 = p. The sales-tax rate is 9 1 2 %. Estimate the tax on a $9.9 purchase. How did you get your answer? 9 1 2 % rounds to % and $9.9 rounds to $. % equals 1 10 and 1 times $ is $. 10 q. Erika sold 0% of her 0 baseball cards. How many baseball cards did she sell? $15 0.0 0% = is of 0 Saxon Math Course 1 L1-161 Adaptations Lesson 1

Written Practice (page 219) 1. 0% of 20 Multiply the loop. Divide by the outside number. 0% = 2. % of $.50 $.50 $.50 An % sales tax means cents per dollar. $.50 rounds to is of $,so the tax should be close to = $.. perimeter. Convert to a f, and m that number by. Use work area. 5. 20 = b $20.00 9.1 6. 16 c = 2 Multiply the loop. Divide by the outside number. chairs rows? 1 7. average. area 6 102 11 9. least to greatest 2, 0, 1, 2 10. prime numbers,,, 2,,,,,,, Saxon Math Course 1 L1-162 Adaptations Lesson 1

Written Practice (continued) (page 220) 11. Which does NOT divide 600? Use tests for divisibility.. win loss A 2 B C 5 D 9 1. diameter 1. a. parallel to Vine b. perpendicular to Vine a. b. 15. Which is the measure of an acute angle? See the Student Reference Guide. A 0 B 5 C 90 D 15 16. (2.5) 2 = 2.5 2.5 17. 1 = 1. reduced fraction 0% = 19. decimal number 9% = 20. reciprocal of 2 $10 $10 Saxon Math Course 1 L1-16 Adaptations Lesson 1

Written Practice (continued) (page 220) 21. 7m = 500 22. $6.25 + w = $10.00 $10.00 $16.25 m = w = 2. 2 n = 1 2. x 7 = 76 76 7 n = x = 25..0.0 6.25.00 26. + 2 27. = 2. 5 6 5 = 29. is of 0. estimate 9% % $2.17 $ is of Saxon Math Course 1 L1-16 Adaptations Lesson 1

LESSON Name 2 Renaming Fractions by Multiplying by 1 (page 221) To rename a fraction means to give an equivalent fraction. Multiply the fraction by a fraction equal to 1. The new fraction will be an equivalent fraction. Example: Write a fraction equal to 1_ that has a denominator of 20. 2 2 =? 20 2 10 10 = 10 20 You can do this easily with fraction manipulatives. When you do not have manipulatives, try the loop method. Example: 2 = (2 15) = 10 2 15 = 10 15 Practice Set (page 22) a. = b. 2 = 6 c. = d. = e. Shade 2. Shade 1. Name each shaded rectangle as a fraction with a denominator of. 00 00 f. Write 2 and 1 2 = as fractions with denominators of. Then add the renamed fractions. = + = g. Describe how the rectangles you shaded in exercise e can help you add the fractions in f. The shaded rectangles show the number of t in 2 and 1. So I can count the total number of t shaded fo find the s of the fractions. h. Write 1 as a fraction with as the denominator. Subtract the renamed fraction from 5 6. Reduce the subtraction answer. 6 = 5 = Saxon Math Course 1 L2-165 Adaptations Lesson 2

Written Practice (page 22) 1. Answer with a mixed number. 2. two hundred billion 2 2 6 + 6 =. area 0 rounds to and times 0. 0% of 0 0% = is of is. This is close to my answer. 5. 1 2 = 6. 1 2 = 10 7..2.2.2. 6.00.00 9. (0.15) 2 = 10. reciprocal of 6 7 Saxon Math Course 1 L2-166 Adaptations Lesson 2

Written Practice (continued) (page 22) 11.,5.9 67.9. LCM of,, and 6 1. 5 5 + 5 1. 6 2 = 2 15. 1 2 = 16. 6 5 = 17. 1 1_ 1 1. 10 10 5 5 = 19. = 6 9 20. prime numbers Use work area., Saxon Math Course 1 L2-167 Adaptations Lesson 2

Written Practice (continued) (page 22) 21. estimate the average,6 9,70 1,261 Round the scores to,, and. A the scores to get ; then d by to find the average. 22. estimate Cancel the matching zeros. 176 1 Round 176 to and 1 to. Then d. Use work area. 2. is of 2. = 7 Now subtract. + 7 25. perimeter 26. area 27. fact family Fact Family 2. Divisor is. r d = s r = s + = d + = Regular Sale Discount Dividend is. Quotient is. 29. 2 1 hours after 11:5 p.m. 2 time now Count hours. Use work area. 0. a. How many 5 s are in 1? 6 b. How many 5 s are in? 6 Use work area. Count minutes. a. b. Saxon Math Course 1 L2-16 Adaptations Lesson 2

LESSON Name Equivalent Division Problems Finding Unknowns in Fraction and Decimal Problems (page 225) If you multiply or divide the dividend and the divisor by the same number, the quotient does not change. You make an equivalent division problem. Short division is much easier than long division. With two-digit division problems, try to cut the numbers in half; then you have an easy short division problem. Example: Make an equivalent division problem; then divide. 16 ) Divide both numbers by 2. 00 ) 7 5 6 0 0 Finding unknowns with fractions and decimals is exactly the same as with whole numbers. See Missing Numbers in the Student Reference Guide. Practice Set (page 22) a. 5 ( ) ( ) b. Half of: 266 1 = c. 5.d d.2 5.0 +.2 d = d. f 1 5 5 5 1 5 f = e. m + 1 1 5 0 5 1 1 5 m = f. w = 1 w = Saxon Math Course 1 L-169 Adaptations Lesson

Written Practice (page 229) 1. total cost $0 $0 $0.00 $0.00 2. 150 = d 150. 19.7 old record 19.2 new record. 2 = 6 5. 1 2 = 6 6. 2 n = 1 n = 7. 6 w = 1 5 6 + 1 5. m 1 = 6 6 + 1 9. c 2.5 =.5 + 2.5 w = m = 10. d = 1.. + 11. c = d = Saxon Math Course 1 L-170 Adaptations Lesson

Written Practice (continued) (page 229) 11. 5 1 5 =. = 1. 7 1 1. NOT prime See the Student Reference Guide. A 2 B C 15. 2 2 2 2 2 2 16. -yard loss 17. nine and twelve hundredths 1. 67, 92, 19. 0.7 10 2 shift 0.700 0. 20. (0.6 0.) 0.2 = Saxon Math Course 1 L-171 Adaptations Lesson

Written Practice (continued) (page 229) 21. perimeter 0 ft each side 22. Answer with a reduced mix number. 100 area 2. a. Answer with a mixed number. 100 16 b. 1 2 ( ) ( ) 2 ( 2) ( 2) 100 16 = a. 2. LCM of, 6, and = b. 25. Complete the sequence of 1 16 s. Remember to reduce fractions. 26. Measure to the nearest eighth of an inch.... 1 5 7,,, 16,, 16, 6 16 16 16 16,, 27. What mixed number? 2. 2 5 10 + 10 29. 0% = of 20 seats is of 0. acute, right, or obtuse a. angle A b. angle B c. angle C d. angle D Use work area. Saxon Math Course 1 L-172 Adaptations Lesson

LESSON Name Simplifying Decimal Numbers Comparing Decimal Numbers (page 21) Zeros at the end of a decimal number do not change the value of the number. 0. = 0.00 = 0.000 To simplify decimal numbers: Get rid of the extra zeros in front and back. Keep the zero in front of the decimal. Do not remove a zero that has value. Examples: 02.0100 = 2.01 0.200 = 0.2 To compare decimal numbers: 1. Rewrite the numbers vertically and line up the decimal points. 2. Compare the greatest place value first (start on the left). Example: 0. 0.209 0. 0. > 0.209 0.209 Practice Set (page 2) Write these numbers in simplified form: a. 0.0500. b. 50.00 c. 1.250. d..000 Compare these decimal numbers: Teacher Notes: Review Hint #, Tenths and Hundredths. Overhead base-ten blocks available in the Adaptations Manipulative Kit may be used to show that tenths are greater than hundredths. e. 0.2 0.15 0.2 0.15 f..5 1.25.50 1.25 g. 0.0 0. 0.0 0.0 h. 0.1 0.09 0.10 0.09 i. 0. 0.0 0.0 0.0 j. Write these numbers in order from least to greatest. 0., 0.5, 0.015, 0.2 0. 0.5,,, 0.015 least greatest 0.2 Saxon Math Course 1 L-17 Adaptations Lesson

Written Practice (page 2) 1. Multiples: Think times table. 2. mi ft 1 520? ( ) + ( ) = third multiple third multiple of of 5. 29,05 Mt. Everest 1,95 Mt. Whitney. Mt. Everest 5 miles in feet 5. 5 1 w = 5 1 + 0 6. m 6 5 = 1 5 6 5 + 1 5 w = m = 7. 6.7 + 0.25 + f = 11.025. 0. d = 0. 6.70 0.25 11.025 11.025 0.0 0. 9. 67 1 1 f = d = with shoes 10. 1 2 2 ( 2) ( 2) = Saxon Math Course 1 L-17 Adaptations Lesson

Written Practice (continued) (page 2) 11. thirty-two thousandths. is of. 1. a. 0.25 0.5 b. 25%.5% 0.25 0.5 1. standard notation (6 100) + ( 1) a. b. 15. Multiply by 10: shift decimal point right Divide by 10: shift decimal point left 10% equals the fraction. Find 16. a. How many 5 s are in 1? b. How many 5 s are in? of $6 by d $6 by. shift $6.00 a. b. 17. LCM of 2,,, and 6. 1. (1 ) 2 = 19. =? 20. 2 =? Saxon Math Course 1 L-175 Adaptations Lesson

Written Practice (continued) (page 2) 21. average 26 7 2 22. nearest thousand 6,57 2. boys girls = 2. a. factors of 100 b. prime numbers a. b. 25. fraction and decimal numbers 26. 9% 2 +. 27. Nearly half of the r is shaded. Since 1_ is equivalent to %, the shaded 2 part of the r is close to but 2. 10:0 a.m. to 2:15 p.m. 10:0 a.m. to = to 2:15 p.m. = l than %. 29. closest to 1 A 0.1 B 0. C 1.1 D 1.2 0. What mixed number? Saxon Math Course 1 L-176 Adaptations Lesson

LESSON Name 5 Dividing a Decimal Number by Whole Number (page 25) Decimal numbers divided by a whole number: Put the first number inside the division box. Put the second number in front of the box. Put the decimal straight up on the answer line. Use zero as a placeholder. Put a digit above each digit. Use short division. Add zeros to the dividend and keep dividing until there is no remainder. Teacher Note: Review Hint #9, Short Division. Example: 0. ) 0. 0. ) 0. 0. 0 7 5 ) 0. 0 0 When dividing by a whole number, decimal goes straight up.. Practice Set (page 26) a. The distance from Margaret s house to school and back is.6 miles. How far does Margaret live from school? b. The perimeter of a square is 6. meters. How long is each side of the square? How can you check that your answer is reasonable? ). 6000 sides meters 0? I can m my answer by. = 6.. c..5 d. 0.6 e. 2 ) 0. 1 ). 5 ) 0. 6 0 f. 0. 5 g. ) 0. 0 0 h. 0.0 6 ) 0. 0 ) 0. 0 1 2 i. 10 ) 1. 0 j. 0.7 5 k. 0.1 ) 0. 7 0 ) 0. 1 0 0 Saxon Math Course 1 L5-177 Adaptations Lesson 5

Written Practice (page 26) 1. rule of reciprocals 5? = 1 2. 1000 20 =. ( is of 00 00 00 00 ) 2 =. ). 5 5. ) 0. 2 6. Add a zero. 5 ) 0. 7. LCM Go down the 2s, s, 6s, and s.. 6 m = 2 10 Find the first one in common. 9. g 2 2 5 = 5 5 5 5 10. m 1.56 = 1. 1.56 + 1. m = + 2 2 5 g = m = Saxon Math Course 1 L5-17 Adaptations Lesson 5

Written Practice (continued) (page 27) 11. 2 n = 5.9. 2 1 n = 1. 5 2 = 1. estimate 69 15. 0.7 (0.6 0.5) = 16. 0.6 0.17 17. a = 177.6 miles gallons 177.6 177.6? 1 1. is of 00 00 00 00 19. 25% = is of 00 00 25% is the fraction. 00 00 20. 5 6 = 00 7 So I m times $0. Saxon Math Course 1 L5-179 Adaptations Lesson 5

Written Practice (continued) (page 27) 21. area 6 ft 2 a. each side Think square root. 22. fraction and decimal numbers 27% b. perimeter a. b. 2. Measure length to the nearest eighth of an inch. 2. 75% = is of 00 00 00 00 25. 2 2 = 1 2 2 = 1 = = 26. Since a little more than h the circle is shaded, a little more than % is shaded. Use work area. 27. nine hundredths a. fraction 2. 5 = 00 00 = 29. b. decimal students classrooms? 0 2 1 a. b. 0. mi = ft 2 yd ft 0? 0 Saxon Math Course 1 L5-10 Adaptations Lesson 5

LESSON Name 6 Writing Decimal Numbers in Expanded Notation Mentally Multiplying Decimal Numbers by 10 and by 100 (page 29) The values of some decimal places are shown in this table: Teacher Notes: Review Hint #5, Multiplying by 10, 100, or 1000. Review Multiplication and Division of Decimal Numbers by 10, 100, and 1000 on page 6 in the Student Reference Guide. Write.025 in expanded notation this way: ( 1) + ( 2 1 100 ) + ( 5 1 1000 ) The zero that acts as a placeholder is not included in expanded notation. To multiply by 10: Shift the decimal to the right one place. To multiply by 100: Shift the decimal to the right two places. To multiply by 1000: Shift the decimal to the right three places. Examples: Shift right 1.2 100 =. 7. 100 = 70 Practice Set (page 21) Write these numbers in expanded notation: a. 2.05 ( ) + ( ) b. 20.5 ( ) + ( ) c. 0.205 ( ) + ( ) Write these numbers in decimal form: d. (7 10) + ( 1 10 ) ( e. 6 1 10 ) ( +.. Mentally calculate the product of each multiplication: shift f. 0.5 10 = g. 0.5 100 = 1 100 ) h. 2.5 10 = i. 2.5 100 = j. 0.5 10 = k. 0.5 100 = Saxon Math Course 1 L6-11 Adaptations Lesson 6

Practice Set (continued) (page 21) For the following statements, answer true or false : l. If 0.0 is multiplied by 10, the product is a whole number. m. If 0.0 is multiplied by 100, the product is a whole number. Multiply as shown. Then complete the division. n. 1.5 0.5 10 10 = 00 00 = o. 2.5 0.05 100 100 = 00 00 = Written Practice (page 22) 1. Convert and reduce. 0 = 2. 100.2 = d 100.2 09.6. Four and twenty is how many dozen?. decimal form (5 10) + ( 6 1 10 ) + ( 7 1 1000 ). 5. fraction and decimal number 21% 6. reduced fraction 20% = 7. 5 ) 6. 5. Add zeros. ) 0. 5 Saxon Math Course 1 L6-12 Adaptations Lesson 6

Written Practice (continued) (page 22) 9. Add zeros. ) 1. 0 10. x + 5 = 9 9 5 5 x = 11. y 16 1 = 16 1 1. 1 q = 0.25 1.000 0.25 y = q = 1. 26.9 + + w = 9.25 1. whole area 26.9.9 9.25 9.25 50% = 1 2 of whole area? 2 w = 15. ratio dime quarter 000 000 = 16. 0.25 0.7 17. =? 1. LCM of,, and 1 19. a. 10 0.1 b. 0.1 (0.1) 2 20. thousandths place 1,2.567 a. b. Saxon Math Course 1 L6-1 Adaptations Lesson 6

Written Practice (continued) (page 2) 21. estimate 967 0000 0000 22. area each side Think square root. perimeter 2. 6 =? 2. Cancel the 2 and the. 2 5 = 25. Cancel the s. ( ) ( 5 ) = 26. circumference, radius, diameter least greatest Use work area. 27. total cost $6.95 $6.95 estimate % % $6.95 $ 2. Measure width to the nearest eighth of an inch. $6.95 + $6.95 29. a. How many s are in 1? b. How many s are in? 0. 2 = + 1 = + 1 a. b. Saxon Math Course 1 L6-1 Adaptations Lesson 6

LESSON Name 7 Circumference Pi (π) (page 2) Circumference Activity Part One How to measure the circumference of a circular object: 1. Cut a string the length of the diameter of the object. 2. Begin wrapping the string around the object.. Mark the object at the beginning and the end of the string.. Put the beginning of the string on the previous end mark; wrap and mark the object again. 5. Continue wrapping the string and marking the object until you reach the starting point. Teacher Notes: Review Circle on page 17 in the Student Reference Guide. Students will need the following items to complete the activity: one or more circular objects (pie pan, plastic lid, trash can); string; scissors; a cloth tape measure; a calculator. Students may use this page rather than Activity Master 11. 6. From the marks you made, count how many times the string was used to wrap around the object. Give a mixed number answer. Part Two Measuring a circular object: 1. Get a circular object: can, plate, pie pan, etc. 2. Use a cloth tape measure to measure the circumference (around the object).. Measure the diameter.. Divide the circumference by the diameter. Use a calculator. How many diameters equal a circumference? 5. If a circle has a diameter of 10 inches, estimate the circumference of the circle. inches The exact number of diameters in the circumference is a number between and called pi (π). If the radius or diameter of a circle is known, the circumference can be found. Multiply the diameter by π: C = πd Use.1 as an approximation for π: C =.1d Practice Set (page 26) a. In this lesson two formulas for the circumference of a circle are shown, C = πd and C = 2πr. Why are these two formulas equivalent? The factors 2 and r in the second equation are equivalent to the d in the first e because two radii equal one d. So t radii times π is equivalent to the d times π. Saxon Math Course 1 L7-15 Adaptations Lesson 7

Practice Set (page 26) Find the circumference of each of these circles. (Use.1 for π.) C = πd b. c. d. The diameter of a penny is about of an inch (0.75 inch). Find the circumference of a penny. Round your answer to two decimal places. Explain why your answer is reasonable. If the d were one inch, the c would be about.1 inches. Since the diameter is a little than one inch, the circumference should be a little than inches. e. Roll a penny through one rotation on a piece of paper. Mark the start and the end of the roll. How far did the penny roll in one rotation? Measure the distance to the nearest eighth of an inch. f. The radius of the great wheel was 1 7 ft. Circle the number that is the best rough estimate of the wheel s circumference. Explain how you decided on your answer. A 15 ft B 60 ft C 90 ft D 0 ft estimate radius estimate π 2 estimate radius = estimate π = ft g. Use the formula C = 2πr to find the circumference of a circle with a radius of 5 inches. (Use.1 for π.) Shift Written Practice (page 27) 1. tenth positive odd number 1 5,,,,, 2. 600 h = mi hr 600 1 000?. roses months 2 1 00?. A = bh,,,, 5. 7 2 5 2 5 b = h = A = least greatest Use work area. Saxon Math Course 1 L7-16 Adaptations Lesson 7

Written Practice (continued) (page 27) 6. s = 1 2 s = 7. expanded notation 6.25. fraction and decimal number 99% ( ) + ( 1 1 ) + ( 1 1 ) 9. Add zeros. ) 0. 1 10. shift 10 ) 1 2. 0 11. w 6 = 6 2 w =. 5y = 1.25 1. n + 5 11 = 10 10 11 5 11 1. m 6 2 5 = 5 6 2 5 5 y = n = m = 15. + 5 16. 5 5 = 17. =? 20 1. 5 =? 20 19. average closest to which number 1 A 17 B 1 20 1 20 + 20 C 19 D 20 Saxon Math Course 1 L7-17 Adaptations Lesson 7

Written Practice (continued) (page 2) 20. C = πd The c of a circle is a little than times the diameter. My answer is a little 21. Here are the factors of 20. Cross off the factors that are NOT factors of 0. 1, 2,, 5, 10, 20 than 20.,,, 22. shift 6.25 S the decimal point one p 2. shift Then divide. 1.25 0.5 10 10 = 000 000 = to the r. 2. 90% = is of 00 00? 0 25. 67 Mars 65 Earth 26. Venus ) Mars Drop the remainder. 27. Measure length and width. 2. perimeter 29. 2 5 = 00 10 Subtract and reduce. 0. The numbers 1.5 and 1.50 are e. Attaching a z to a decimal number does not shift place v. To multiply 1.5 by 10, we may move the d point one place to the r, which shifts the place v and makes the product. Use work area. Saxon Math Course 1 L7-1 Adaptations Lesson 7

LESSON Subtracting Mixed Numbers Name with Regrouping, Part 1 (page 250) To subtract mixed numbers with regrouping: 1. Borrow 1 from the whole number and rename. 2. Combine the top fraction with the renamed 1.. Then subtract. Example: 5 1 2 2 5 1 + = 2 2 2 2 Practice Set (page 251) a. 1 1 + = b. 2 5 2 2 5 + 5 5 = _ 1 2 1 2 2 5 2 5 c. 5 2 d. 5 1 1 1 2 2 e. 7 10 _ 10 f. 6 1 2 2 g. Shade the bottom row of circles to complete the model of exercise a. 1 1 2 = = 1 2 h. Complete this word problem based on exercise c. Allan had pot pies. He ate of them at lunch. How pot pies were left? Saxon Math Course 1 L-19 Adaptations Lesson

Written Practice (page 252) 1. ( + ) 2 = 10 2. shift sum $ gal 2.279 x? 10. 11:5 a.m. to :5 p.m. = hr :5 p.m. to 1:20 p.m. = min. Which number is NOT equal to the others? A 1 B 0.2 2 C 0.5 D 10 20 5. least to greatest 6. 1.02 0.102 0. 1.20 0 1,,,,, 0.1 0.2 0. 0. 7. 0.5. 2.1 = r.1 2.1 9. estimate 967 690 10. ) 0. 1 Saxon Math Course 1 L-190 Adaptations Lesson

Written Practice (continued) (page 252) 11. Add a zero. 6 ) 0.9. Add zeros. ) 0.9 1. shift $0.9 1. standard form (5 10) + ( 6 1 10 ) + ( 1 100 ). 15. LCM of 6 and 16. w 7 7 = 5 5 7 7 + 5 5 w = 17. m = 5 2 2 + 5 2 1. n + 2 = 5 1 5 1 + 2 19. x +.21 =.00 +.21 m = n = 20. 2 of = x = Saxon Math Course 1 L-191 Adaptations Lesson

Written Practice (continued) (page 252) 21. gains of yd and 5 yd loss of yd Use a negative number. 22. C = πd π is a little than, so the answer should be about =. 2. length width xxx xxx = 2. ft in. 1 xx? 25. 1 ft 1 ft = 1 sq. ft in. in. = sq. in. 26. d = rt r = 60 t = d = 27. 75% = is of xx x xxx x 2. = + x = x + 29. shift Then divide..5 0.7 10 10 = 0. The server can cut one of the whole p into 6_. Then there will be 2 and pies on the shelf. 6 The server can remove 1 and pies, and there will be 1 and pies left on the s. Use work area. Saxon Math Course 1 L-192 Adaptations Lesson

LESSON 9 Dividing by a Decimal Name Number (page 25) Move the decimal over, over, and up. Use zero as a placeholder. Put a digit above each digit. Use short division. Add zeros to the dividend and keep dividing until there is no remainder. Example: 0.1 0. Practice Set (page 256) a. 1. 1.2 0 0. 2 5 0. ) 0. 1 0 0 over What would you multiply 1.2 by to make it? b. 0. ) 0.1 What would you multiply 0. by to make it? Make each divisor a whole number; then divide. up over Teacher Note: Review Multiplication and Division of Decimal Numbers by 10, 100, 1000 on page 6 in the Student Reference Guide. c. 0. ) 2.2 d. 0. ) 90 e. 0.05 ) 2.50 f. 0. ) 0 g. 0.2 0. h. 0. 0.0 i. 0.05 ) 0. j. 0.2 0. ) 0.2 ) 0.0 0 ) 0.20 k. Find how many nickels are in $.25 by dividing.25 by 0.05. ).25 Saxon Math Course 1 L9-19 Adaptations Lesson 9

Written Practice (page 256) 1. ( ) ( ) = 2. is of x00 000 100. area 2.2 in.. perimeter 2.6 in. 5. a. 0.1 0.01 b. 1% 0.1% 0.1 1% 0.01 0.1% 6. 0.67 0.00 0.00 a. b. 7. 0.25. over, over, up 0.07 ). 5 0 9. over, over, up 0.5 ) 1 2 0 10. Add zeros. ) 0. 1 Saxon Math Course 1 L9-19 Adaptations Lesson 9

Written Practice (continued) (page 256) 11. 0.0. n 6 1 = 001.5 6 1 + n = 1. 5 = x 100 1. 5 m = 1.7 5.7 + 1.7 x = m = 15. m + 7 1 = 15 15 1 + 7 1 16. one and twelve thousandths m = 17. 5 7 10 + 9 10 1. 5 2 5 = 19. 0% = is of xx xx xx xx 20. xx 2 a. Eight hours is what fraction? a. b. sleep b. c. not sleep c. Saxon Math Course 1 L9-195 Adaptations Lesson 9

Written Practice (continued) (page 257) 21. List the factors of. Cross off the factors that are NOT factors of 1. 1,,,,, 22. average 1.2 1. 1.7,,, 2. 51% % $9.7 $ 2. a. How many s are in 1? b. How many s are in? a. b. 25. a. halfway between 1 and 2 b. closer to 1 than 2 c. closer to 2 than 1 a. b. c. 26. Cancel the matching factors. 2 2 5 7 2 5 7 = 27. over, over, up 0.25 ).00 2. Measure a side to the nearest eighth of an inch. Then find the perimeter. 29. C = πd 0. Answer: Yes or No Both 10 and 100 10 100 are e to 1. When we multiply a number by different f names for one, the numbers may look d, but they are e. So 2.5 0.5 and 25 5 and 250 50 are three e problems with the s quotient. Use work area. Saxon Math Course 1 L9-196 Adaptations Lesson 9

LESSON Name 50 Decimal Number Line (Tenths) Dividing by a Fraction (page 259) We can locate decimal numbers on the number line. On a decimal number line, each tick mark is one tenth from the next. Example: y = 7 y = 7. 10 To divide by a fraction, use two steps: Original problem: How many _ s are in 6? 6 Step 1: Find the number of _ s in 1. 1 = (reciprocal) Step 2: Use the number of _ s in 1 to 6 = 2 find the number of _ s in 6. 2 Then simplify the answer. = Practice Set (page 261) To which decimal number is each arrow pointing? 0.1 g. Write and solve a fraction division problem to find the number of quarters in four dollars. Use 1 instead of 0.25 for a quarter. Follow this pattern. Original problem: 1 Step 1: 1 = Step 2: = h. Write and solve a fraction division problem for this question: Pads of writing paper were stacked inches high on a shelf. The thickness of each pad was of an inch. How many pads were in a -inch stack? Original problem: Step 1: 1 = Step 2: = Saxon Math Course 1 L50-197 Adaptations Lesson 50

Written Practice (page 262) 1. 1 + + 5 = 9 1 + + 5 + 7 + 9 = 25 2 = 9 5 2 = 25 10 2 = I found a pattern. 2. 6 reciprocal of 6 1 xx x =. ( ) + =. a...9 b. 0.60 0.600. 0.60.9 0.600 a. b. 5. 7.25 + 2 + w = 100 6. 6w = 0.1 7.25 + 2.25 w = w = 7. w + 5 =. 6 1 x = 1 7 6 1 + 1 7 9. total cost $20.00 $020.00 $20.00 $020.00 w = x = 10. 1.00 1.00 Saxon Math Course 1 L50-19 Adaptations Lesson 50

Written Practice (continued) (page 262) 11. over, over, up 0. ) 7.20. over, over, up 0. ) 70 1. 6 ) 0.1 1..75 + 02. 15. =? 2 16..67 5.21 17. 1 m 1 m = 1 sq. m 100 cm 100 cm = sq. cm 1. LCM of 6 and 9 19. 6 5 + 5 20. 1 = Saxon Math Course 1 L50-199 Adaptations Lesson 50

Written Practice (continued) (page 262) 21. 2 = 22. C = πd π is a little than, so my answer should be about =. 2. average 2. 6. 5.7 2. over, over, up ).75 quarters 25. What decimal number? 26. Cancel the matching factors. 2 5 7 2 5 = 27. 0.75 100 = 2. = xx 6 Subtract and reduce. 29. a. halfway between 6 and 7 b. 6 7 10 c. closest to 6 a. b. 0. Which is divisible by both 2 and 5? Use tests for divisibility. A 552 B 255 C 250 D 525 c. Saxon Math Course 1 L50-200 Adaptations Lesson 50