[...]... X X X X X X 19 8 Number Cutouts X X X X X X X X X X 22 9 Celebrate 10 0 Days X X X X X X X X X X 27 10 Paper Plate Fractions X X X X X X X X X 30 11 Bean Cups to 1, 000 X X X X X X X X X 33 12 Dot Paper Fractions X X X X X X X X 36 13 Fraction Cover-Up or Un-Cover X X X X X X X 43 14 Post-it™ Mental Math X X X X X X 47 15 Calendar Math X X X X X X X 50 16 Let’s Have Order X X X X X X 54 17 Reject a Digit... X 91 95 II Computation Connections X X X X 27 Arm-Lock Computation X X X X X X X 10 0 28 Punchy Math X X X X X X X X X 10 4 29 Multiplication Fact Fold-Outs X X X X X X X 10 6 30 Ziploc™ Division X X X X X X X X 10 9 31 Dot Paper Diagrams X X X X X X X X 11 2 32 File Folder Activities X X X X X X 11 9 33 Beat the Calculator X X X X X X X 12 2 34 Floor Number Line Actions X X X X X X X 12 5 35 Egg Carton Math. .. X X X X X X X 12 8 36 Cross-Line Multiplication X X X X X X X 13 3 37 Highlighting Multiplication X X X X X X X 13 6 38 Chalkboard or Tabletop Spinner Games X X X X X X 13 9 39 Skunk X X X X X X 14 3 40 Subtraction Squares X X X X X X X 14 7 41 Drawing Fraction Common Denominators X X X X X X X X 15 1 X X X X X X X 15 4 43 Decimal Squares X X X X X X X X 15 8 44 Square Scores X X X X X X 16 3 45 Math Concentration... Examples: 1 The numbers 3, 25, and 13 7 are displayed using beans and beansticks 3 25 10 0 + 30 + 7 13 7 14 Making Sense of Numbers 2 The problem 16 + 12 = is solved below (in equation format) by simply combining the 1s beans and the 10 s beansticks In this case it is not necessary to trade + 16 = + 12 = 28 3 The problem 21 − 6 = requires trading Because 6 cannot be subtracted from 1, one of the 10 s beansticks... Grad e Le vel K–2 10 5 Duplicate Digit Logic X X X X X X 408 10 6 String Triangle Geometry X X X X X X X X 411 10 7 A Potpourri of Logical-Thinking Problems, Puzzles, and Activities 414 Plan a Circuit Board X X X X X X X X X X 414 22 Wheels and 7 Kids X X X X X X X X X 415 Candy Box Logic X X X X X X X X X 416 Brownie Cutting X X X X X X X X X 416 Making Sums with 0–9 X X X X X X 417 Upside-Down Displays... bowl, yielding the equations 3 + 8 = 11 , 8 + 3 = 11 , 11 − 8 = 3, and 11 − 3 = 8 2 You can also extend this activity to introduce algebra concepts to students For example, after instruction a student presents the problem shown in Extension 1, with the equation n + 3 = 11 Explain to students that using a letter to represent a missing number is a basic concept in algebra 10 Making Sense of Numbers Chapter... K–2 50 Number Grids X X X X X X X 18 6 51 Here I Am X X X X X X 18 9 52 Equation Match-Up X X X X X X 19 4 53 Block Four X X X X X 19 6 54 Silent Math X X X X X X 203 55 Rapid Checking X X X X X X 206 209 III Investigations and Problem Solving 211 56 Shoe Graphs X X X X X 57 Sticky Gooey Cereal Probability X X X X X X X 214 58 Sugar Cube Buildings X X X X X X X X X X 219 59 A Chocolate Chip Hunt X X X... elementary teacher and principal for 25 years He co-authored Math Stories for Problem Solving Success: Ready-to-Use Activities for Grades 6 12 , First and Second Editions (Jossey-Bass/ Wiley) When asked if he would help edit and proofread the new edition of Math Wise! , he remarked ‘‘I would be honored!’’ From beginning to end, James was always ahead of expectations He will be missed Suggestions for Using Math. .. clear-drying carpenter’s glue (most forms of permanent glue work well) How To Do It: 1 Beansticks, a stick with 10 beans, will help students visualize the 10 s place of a number A flat, a raft made of 10 beansticks, will allow students to view the 10 0s place of a number Single beans will serve for the numbers 1 through 9, but 10 s beansticks and 10 0s flats (or rafts) will be needed after that The 10 s beansticks... Three 45s are set up using four beansticks and five loose beans Notice that 10 of the 15 loose beans need to be traded for a 10 s beanstick, and also that 10 of the beansticks are traded for a 10 0s flat 45 45 = 13 5 45 16 Making Sense of Numbers 5 For the division problem 12 3 ÷ 27, the student must figure out how many 27s are in 12 3 First 12 3 is represented using one raft, two beansticks, and three loose beans . 65879 1 2 1 3 2 3 1 4 3 4 1 8 3 8 5 8 7 8 1 6 1 9 1 8 1 3 1 6 4 9 1 9 1 2 1 6 1 9 1 8 1 4 1 4 1 8 3 8 2 9 21 64 1 36 5 32 5 72 1 54 25 48 1 12 3 32 5 24 1 16 7 32 1 16 7 16 1 64 3 16 1 12 35 64 1 18 5 64 1 18 5 24 1 72 1 18 15 32 9 64 5 12 9 16 2 27 9 32 25 64 7 12 7 64 1 12 1 48 1 27 21 31 49 64 1 24 3 64 5 16 7 48 1 24 5 48 3 32 15 64 1 32 3 16 1 36 7 24 7 72 BLOCK. X X 49. I Have ,WhoHas ? X X X X X X 77 80 83 91 95 97 10 0 10 4 10 6 10 9 11 2 11 9 12 2 12 5 12 8 13 3 13 6 13 9 14 3 14 7 15 1 15 4 15 8 16 3 16 8 17 0 17 4 17 9 18 2 xiv Contents Grade Level K–2 2–4 4–6 6–8 Activity. games. 1 7 15 25 36 54 2 8 16 27 40 56 3 9 18 28 42 63 4 10 20 30 45 64 5 12 21 32 48 72 6 14 24 35 49 81 1234 65879 1 2 1 3 2 3 1 4 3 4 1 8 3 8 5 8 7 8 1 6 1 9 1 8 1 3 1 6 4 9 1 9 1 2 1 6 1 9 1 8 1 4 1 4 1 8 3 8 2 9 21 64 1 36 5 32 5 72 1 54 25 48 1 12 3 32 5 24 1 16 7 32 1 16 7 16 1 64 3 16 1 12 35 64 1 18 5 64 1 18 5 24 1 72 1 18 15 32 9 64 5 12 9 16 2 27 9 32 25 64 7 12 7 64 1 12 1 48 1 27 21 31 49 64 1 24 3 64 5 16 7 48 1 24 5 48 3 32 15 64 1 32 3 16 1 36 7 24 7 72 BLOCK