For Students Entering 5 th Grade Table of Contents! Algebra 4A.1. Page 1! Algebra 4A.2. Page 2! Numbers 4N.1. Pages 3-4! Numbers 4N.2 Pages 5-6! Numbers 4N.3. Pages 7-8! Parts of a Whole 4P.1. Page 9! Parts of a Whole 4P.2. Page 10! Parts of a Whole 4P.3. Page 11! Parts of a Whole 4P.4. Page 12! Data 4D.1. Page 13! Data 4D.2. Page 14! Data 4D.extension Page 15-16! Geometry 4G.1. - Page 17! Geometry 4G.2. Pages 18-19! Geometry 4G.3. Page 20! Answer Key Pages 21-23! Extensions Page 24! Additional Facts Practice Pages 25-26 *This packet is designed to reinforce mastery of concepts taught in 4 th grade and is to be completed independently. * *Please return to 5 th grade homeroom teacher.*
! Algebra 4A.1. Solving expressions and equations with a variable using logic. (page 1) 12. A $1 bill represents 100 cents. The value of a dollar could also be represented by dimes. Divide the picture of the dollar to represent dimes. Complete the expression for the number of dimes in 100 cents where d = the value of a dime. $1 100 = dimes d d = $0. 13. 1
! Algebra 4A.2. Using simple charts to represent pattern relationships with "input" and "output" numbers. (page 2) 2
! Numbers 4N.1. Demonstrating fluency with factors and multiples to 100. (pages 3-4) Use the T-Chart to list all the factors of the given product. Remember your divisibility rules! Ex. 1. 3. 2. 4. 3
Complete the following charts. 1. x8 4 5 6 7 32 2. x5 7 8 9 10 3. x11 3 4 5 6 4. x12 5 6 7 8 5. x4 9 10 11 12 6. x7 4 5 6 7 4
! Numbers 4N.2. Adding, subtracting, multiplying and dividing within 1,000,000 up to 1-digit divisors. (pages 5-6) Add. Use scratch paper to show your work & turn in with packet. Subtract. Use scratch paper to show your work & turn in with packet. Multiply. Use scratch paper to show your work & turn in with packet. 5
Divide. Use scratch paper to show your work & turn in with packet. 1. 2. 3. 7. 11. 4. 8. 12. 5. 9. 13. 6. 10. 14. 6
! Numbers 4N.3. Write and compare numbers from hundredths through the millions using standard, word and expanded notation and rounding to any place within that range. (pages 7-8) Write the following numbers in word form. 1. 2. 3. 679,413,000 Write the value of the underlined digit. 4. 6. 5. 7
Solve. 7. 8. 9. Round to the place value of the underlined digit. 10. 12. 14. 11. 13. 15. 8
! Parts of a Whole 4P.1. Finding equivalent fractions to express a part of a whole and reducing to lowest terms. (page 9) Write each fraction in simplest form. 13. Write the equivalent fraction. 14. 9
! Parts of a Whole 4P.2. Comparing and ordering fractions and decimals and converting between the two (base ten fractions/decimals) (page 10) Fraction / Decimal Conversions Write the fraction and decimal for the shaded figures. Write the following fractions as decimals. Write the following decimals as fractions. 10
! Parts of a Whole 4P.3. Adding and subtracting fractions with unlike denominators. (page 11) Add. Reduce to lowest terms if necessary. Subtract. Reduce to lowest terms if necessary. 10. 12. 14. 11. 13. 15. 11
! Parts of a Whole 4P.4. Finding various expressions of benchmark fractions on a number line. (page 12) Write the correct mixed fraction on the line that matches each given letter. Reduce to lowest terms if necessary. 1. A = 8. M = 2. L = 9. G = 3. D = 10.C = 4. H = 11. E = 5. B = 12. I = 6. K = 13. J = 7. F = 14. N = 12
! Data 4D.1. Graphing ordered pairs with positive points. (page 13) Plot each point on the coordinate grid & label with the appropriate letter. Draw each shape on the coordinate grid. 13
! Data 4D.2. Converting measurements of length, weight and time between larger and smaller units. (page 14) CUSTOMARY MEASUREMENT LENGTH WEIGHT TIME 16 oz = 1 lb 2000 lb = 1 T 1 ft = 12 in 1 yd = 3 ft 1 yd = 36 in 1 mi = 5,280 ft 1 mi = 1,760 yd Find the missing number. 1 min = 60 sec 1 hr = 60 min 1 day = 24 hr 1 week = 7 days 1 yr = 52 weeks 1 yr = 12 months 1 yr = 365 days 1 leap year = 366 days 1. 2 ft = in. 2. 24 months = yr 3. 3 days = hr 4. 9 ft = yd 5. 64 oz = lb 6. 10,560 ft = mi 7. 20 T = lb 8. 4 lb, 6 oz = oz 9. 120 min = hr 10. 4 min = sec 11. 2 lb, 1 oz = oz 12. 9 yd = ft 13. 48 in = ft 14. 104 weeks = yr 15. 21 ft = yd 16. 32 oz = lb 14
! Data 4D.extension Students can read and interpret data using Venn diagrams, line plots, and line graphs. (pages 15-16) Answer the following questions based on the Venn diagram. 1. a. How many students went to the beach or lake for summer vacation? b. How many students went to the beach and mountains but not the lake? c. How many students only went to one destination over summer vacation? 2. a. How many students had 2 candy bars? b. How many more students had 5 candy bars than 3 candy bars? For students entering 5 th grade. 15
Answer the following questions based on the line graph below. Weekly Temperature Change 1. What is the trend of the data from Sunday through Wednesday? 2. Between which two days did the largest temperature change occur? 3. Did the temperature increase or decrease from Thursday to Friday? By how much did the temperature change? 4. What was the lowest temperature of the week? For students entering 5 th grade. 16
! Geometry 4G.1. Identifying similar figures. (page 17) For students entering 5 th grade. 17
! Geometry 4G.2. Using formulas and a variety of concrete strategies to find the area and perimeter of a square or rectangle and the volume of a rectangular prism. (pages 18-19) area = length x width 1. 3. 4. 2. 5. For students entering 5 th grade. 18
Find the VOLUME of the following solid shapes. 4. 5. 6. 7. 8. For students entering 5 th grade. 19
! Geometry 4G.3. Identifying the attributes of different angles and drawing examples. (page 20) Sort the angles by type at the bottom. Write the letters that represent all the ACUTE angles: Write the letters of represent all the OBTUSE angles: For students entering 5 th grade. 20
Page 1: 1. 24 2. 2 3. 5 4. 30 5. 5n 6. 35 7. 1 8. 63 9. 27 10. 48 11. 5 12. 10, $.10 13. 4n = 2000 Page 2: 1. n / 5 2. n x 3 3. n x 7 4. 4,5,6, e/6 5. e / 6 6. n x 8 Page 3: 1. 1,2,3,4,5,6,20,12,15,20,30,6 0 2. 1,3,5,9,15,45 3. 1,2,4,5,10,20,25,50,100 4. 1,2,3,4,6,8,12,24 Page 4: 1. 40,48,56 2. 35,40,45,50 3. 33,44,55,66 4. 60,72,84,96 5. 36,40,44,48 6. 28,35,42,29 Page 5: Answer Key: 1. 9,112 2. 7,061 3. 8,120 4. 3,121 5. $58.62 6. $745.21 7. 21,141 8. 60,100 9. $528.17 10. 86,579 11. 4,215 12. $120.59 13. 47,889 14. 5,045 15. 4,928 16. 13,898 17. 31,899 18. $690.55 19. 152,271 20. 21,812 21. $497.04 22. $2046.24 23. 39,042 24. 243,775 Page 6: 1. 69 r 4 2. 28 r 1 3. 54 4. 45 r 2 5. 85 r 3 6. 66 7. 293 r 1 8. 195 9. 95 r 3 10. $.52 11. $1.07 12. $2.20 13. 400 For students entering 5 th grade. 21
14. 500 Page 7: 1. Two million, one hundred sixty thousand, five hundred 2. Five hundred ten million, two hundred thousand, four hundred fifty 3. Six hundred seventy-nine million, four hundred thirteen thousand 4. 60,000 5. 5,000,000 6. 4,000 7. 500,000 8. 10 9. B 10. 28,650 11. 710,000 12. 4,200,000 13. 66,000 14. 985,500,000 15. 98,300 Page 9: 1. ½ 2. 7/8 3. 3/5 4. 2/3 5. ¼ 6. 7/9 7. 5/11 8. 1/15 9. 3/10 10. 4/5 11. 1/3 12. 2/5 13. D 14. 6/8, 2/3, 5/10 For students entering 5 th grade. 10: 1. 22/100;.22 2. 2/10;.2 3..6 4..75 5. 1.1 6. 3/10 7. 95/100 or 19/50 8. 7 7/10 Page 11: 1. 1 1/6 2. 1 1/20 3. 7/20 4. 11/12 5. 7/8 6. 7/9 7. 3/8 8. 8/9 9. 19/35 10. 2/5 11. 29/60 12. 3/14 13. 7/45 14. 2/15 15. 7/24 Page 12: 1. 1 1/8 2. 2 5/8 3. 1 ½ 4. 2 1/8 5. 2 ¼ 6. 2 ½ 7. 1 ¾ 8. 2 ¾ 9. 1 7/8 10. 1 3/8 11. 1 5/8 12. 2 ¼ 13. 2 3/8 Page 22
14. 2 7/8 Page 13: 1.a. 22 students b. 2 students c. 16 students 2a. 1 student b. 2 students Page 16: 1. increasing 2. Wed Thurs 3. Increase by 5 degrees F. 4. Sat 75 degrees F. Page 17: 1. yes; no 2. no; no 3. yes; yes 4. yes; no 5. yes; yes 6. no; no 7. c Page 14: 1. 24 in 2. 2 yr 3. 72 hr 4. 3 yd 5. 4 lb 6. 2 mi 7. 40,000 lb 8. 70 oz 9. 2 hr 10. 240 sec 11. 33 oz 12. 27 ft 13. 4 ft 14. 2 yr 15. 7 yd 16. 2 lb Page 15: Page 18: 1. 18 m 2 2. 104 m 2 3. 25 in 2 4. 24 u 2 5. 24 cm 2 Page 19: 1. 32 u 3 2. 24 u 3 3. 14 u 3 4. 60 cm 3 5. 24 cm 3 6. 40 u 3 7. 28 u 3 8. 44 u 3 Page 20: ACUTE: a,c,e,g,h OBTUSE: b,d,f,i For students entering 5 th grade. 23
Extensions! Sudoku Puzzles! IXL www.ixl.com! Math Facts Practice! Any and all board games! Cool Math Games www.coolmath.com! Sumdog www.sumdog.com! Big Brainz http://www.bigbrainz.com/ (Highly recommended by 5 th grade teachers!)! Math Multiplication War!! Any and all card games that involve counting numbers! Hooda Math http://www.hoodamath.com/! Arcademics Skill Builders http://www.arcademics.com/! Dragon Math for ipad! Mathemagics for ipad! Math Bingo for ipad! Any and all puzzles For students entering 5 th grade. 24
Additional Facts Practice! For students entering 5 th grade. 25
Additional Facts Practice For students entering 5 th grade. 26