GRADE 4 SUPPLEMENT - The Math Learning Center

1 GRADE 4 SUPPLEMENT . Set A5 Number & Operations: Multi-digit multiplication Includes Activity 1: Multi-Digit multiplication Pre-Assessment Activity 2: Multiplying by 10, 100, & 1000 Activity 3: Multiplying Single Digits by Multiples of Ten Activity 4: Single-Digit multiplication with Pictures & Numbers Activity 5: Introducing the Standard multiplication Algorithm Activity 6: Think before You Multiply Activity 7: Splat! Activity 8: Sketching Arrays & Partial Products Activity 9: Double-Digit multiplication with Pictures & Numbers Activity 10: multiplication Menus Activity 11: Introducing a Two-Part Area Model Activity 12: Extending the Standard multiplication Algorithm Activity 13: Reviewing & Evaluating multiplication Strategies Activity 14: Multi-Digit multiplication Post-Assessment Independent Worksheet 1: More Practice Multiplying by 10, 100, & 1000 Independent Worksheet 2: More Tens, Hundreds, & Thousands Independent Worksheet 3: Double-Digit by Single-Digit multiplication Independent Worksheet 4: Using the Standard Algorithm for Two-Digit by One-Digit multiplication Independent Worksheet 5: Choose Your Strategy Independent Worksheet 6.

2 Multiplying Multiples of Ten & More Independent Worksheet 7: Using Four Partial Products to Multiply Two-Digit Numbers Independent Worksheet 8: More multiplication Menus Independent Worksheet 9: Pine Cones & School Supplies Skills & Concepts H represent multiplication of two-digit by two-digit numbers H multiply by 10 and 100. H multiply 2- and 3-digit by 1- and 2-digit numbers using efficient methods, including the standard multiplication algorithm H mentally multiply 2-digit numbers by numbers through 10 and by multiples of 10. H compare the values represented by digits in whole numbers using place value H multiply one- and two-digit numbers by numbers through 10 and by multiples of 10. H estimate products to approximate solutions and determine reasonableness of answers H solve single-step and multi-step word problems involving multi-digit multiplication and verify the solutions H explain why a specific problem-solving strategy was used to determine a solution P201309.

3 Bridges in Mathematics GRADE 4 SUPPLEMENT Set A5 Numbers & Operations: Multi-digit multiplication The Math Learning Center , PO Box 12929, Salem, Oregon 97309. Tel. 1 800 575 8130. 2013 by The Math Learning Center All rights reserved. Prepared for publication on Macintosh Desktop Publishing system. Printed in the United States of America. P201309. The Math Learning Center grants permission to classroom teachers to reproduce blackline masters in appropriate quantities for their classroom use. Bridges in Mathematics is a standards-based K 5 curriculum that provides a unique blend of concept development and skills practice in the context of problem solving. It incorpo- rates the Number Corner, a collection of daily skill-building activities for students.

4 The Math Learning Center is a nonprofit organization serving the education community. Our mission is to inspire and enable individuals to discover and develop their mathematical confidence and ability. We offer innovative and standards-based professional development, curriculum, materials, and resources to support Learning and teaching. To find out more, visit us at Set A5 Number and Operations: Multi-Digit multiplication Set A5 H Activity 1. ACTIVITY. Multi-Digit multiplication Pre-Assessment Overview You'll need This pre-assessment launches a set of activities that return H Multi-Digit multiplication Pre-Assessment (pages to the multiplication work started in Unit 2. In the 12 activ- , run a class set). ities that follow, students will move from building and H Multi-Digit multiplication Pre-Assessment Class Check- sketching 2-digit by 1-digit multiplication combinations to list (page , run 1 or 2 copies).

5 Using the standard algorithm to multiply up to 3-digit by H Multi-Digit multiplication Pre- & Post-Assessment Scor- 2-digit numbers. Additional practice with the skills intro- ing & Comparisons (optional, page and , duced in these activities can be found on pages run a class set). in the Independent Worksheet section of the Bridges SUPPLEMENT . H Base 10 Grid Paper (page , run as needed). H Student Reflection Sheet: multiplication (pages Skills & Concepts , optional, run a class set). H represent multiplication of two-digit by two-digit H access to base 10 area and linear pieces numbers H multiply by 10 and 100. H multiply one- and two-digit numbers by numbers through 10 and by multiples of 10. H estimate products to approximate solutions and determine reasonableness of answers H solve single-step word problems involving multi-digit multiplication Instructions for Multi-Digit multiplication Pre-Assessment 1.

6 Explain to your students that over the next few weeks, the class will return to studying multi-digit multiplication . Today they'll take a pre-assessment that will give you information about their current strategies for multiplying large numbers. Explain that they will take a similar assessment in several weeks, at which time they will have additional ways to handle problems that may seem challenging today. 2. Give students each a copy of the pre-assessment. Ask them to write their name and the date at the top of each page. Read and review the problems together and have students circle the doing words as you go. Remind them that once they get started, they'll need to mark each checkpoint with an or a 3 to show that they have completed the task.

7 The Math Learning Center Bridges in Mathematics GRADE 4 SUPPLEMENT Set A5 Number and Operations: Multi-Digit multiplication Activity 1 Multi-Digit multiplication Pre-Assessment (cont.). Set A5 Number and Operations: Multi-Digit multiplication Blackline Run a class set. Set A5 Number and Operations: Multi-Digit multiplication Blackline Run a class set. NAME DATE NAME DATE. Multi-Digit multiplication Pre-Assessment page 1 of 3 Multi-Digit multiplication Pre-Assessment page 2 of 3. 1 Ben and his mom got 5 cases of bottled water for the soccer game. There were 3 These base 10 linear pieces show the dimensions of a rectangle. 24 bottles of water in each case. How many bottles of water was that altogether? a Label each dimension and fill in the rectangle.

8 A Solve the story problem above. Show your work with labeled sketches, num- b Use the information to find the area of the rectangle. Show your work. bers, and/or words. b Ben and his mom got _____ bottles of water in all. 4 Fill in the bubble to show the best estimate for each problem. Explain your choice. 2 Choose one of the problems below and circle it. a 26 100 b 134 500. 10 16 18 10 13 20 20 26 6 150 5 600. 200 700. a Make a labeled sketch on the grid below to show the problem you chose. 250 800. b Find the answer to the problem you chose using your sketch. Show all of your work. Why? Why? 5 Write the answer to each problem. 32 68 30 34 100 100. 10. _____ 10. _____ 10. _____ 100. _____ 26. _____ 50. _____. Set A5 Number and Operations: Multi-Digit multiplication Blackline Run a class set.

9 NAME DATE. Multi-Digit multiplication Pre-Assessment page 3 of 3. 6 Write the answer to each problem. 30 50 40 60 24 22. 3. _____ 7. _____ 30. _____ 50. _____ 20. _____ 30. _____. 7 Choose one of the multiplication problems below and circle it. Pick the one that seems best for you not too hard and not too easy. 12 15 22 26 38 236. 14. _____ 13. _____ 23. _____ 23. _____ 27. _____ 39. _____. a Find the answer to the problem you circled. Be sure to show all of your work. b Write a story problem to match the multiplication problem you just solved. Bridges in Mathematics GRADE 4 SUPPLEMENT The Math Learning Center Set A5 Number and Operations: Multi-Digit multiplication Activity 1 Multi-Digit multiplication Pre-Assessment (cont.). 3. Before students start to work, be sure they understand that they only need to circle and solve one of the multiplication combinations in both problems 2 and 7.

10 Tell students that you'll place a small stack of base ten grid paper near each table or cluster of desks if they want to use it for any of the problems, and they can also get out their base ten area and linear pieces for use during the assessment. Remind students that although you can't explain the tasks to them, you will read any of the problems to them again if needed during the assessment period. Although they may not be sure how to solve some of the problems, encourage them to attempt each one. Partial solutions are fine, and if they are unable to answer a particular problem they can write, I don't know yet.. LOOKING AT STUDENT WORK. Students will complete a similar assessment in Set A5, Activity 14, at which time a scoring guide will be included for your use.