TEACHER’S GUIDE TEACHER’S GUIDE Suggested Internet Sources Periodically, Internet Resources are updated on our web site at www.LibraryVideo.com • mathforum.org/ This Drexel University site offers a multitude of math problems, lesson plans, math resources and a question/answer section for students and teachers. • www.aaamath.com/B/dec.htm Students can practice decimal problems with challenging games on this site that offers basic explanations and extension concepts. • mtn.merit.edu/resources/math/fractions_decimals_and _percents.html Michigan Teacher Network has compiled over 30 sites, supported by their state standards, designed to aid students in practicing fraction, decimal and percentage problems. Suggested Print Sources • Caron, Lucille and Philip M. St. Jacques. Fractions and Decimals. Enslow Publishers, Berkeley Heights, NJ; 2000. • Gifford, Scott. Piece=Part=Portion: Fractions=Decimals=Percents. Tricycle Press, Berkeley, CA; 2003. • Long, Lynette. Delightful Decimals and Perfect Percents: Games and Activities That Make Math Easy and Fun. John Wiley & Sons, New York, NY; 2002. TEACHER’S GUIDE Kimberly Grieco, M.Ed. Curriculum Specialist, Schlessinger Media TITLES IN THIS SERIES • 3-D Shapes • Complements: Making 100 & 1000 • Decimals • Decimals: Adding, Subtracting & Comparing • Doubles & Halves • Equations • Equivalent Fractions & Mixed Numbers • Fractions • Integers • Multiples & Factors • Number Patterns Teacher’s Guides Included and Available Online at: Program Copyright 2002 by BBC Worldwide Limited. BBC and Maths Challenge are trademarks of the British Broadcasting Corporation and are used under license. © BBC 1996 • Operations With Large Numbers • Percentages • Rounding Numbers • Shapes • Zeros: Multiplying & Dividing by 10, 100, 1000 800-843-3620 Teacher’s Guide Copyright 2004 by Schlessinger Media, a division of Library Video Company P.O. Box 580,Wynnewood, PA 19096 800-843-3620 All rights reserved. K6443 Decimals Grades 4–6 R eview and practice of math concepts is an essential component in maintaining prior knowledge and problemsolving skills. This series reinforces important skills taught in grades 4–6 through the use of animated characters and an engaging storyline. In each episode, students will become Special Agents to assist Top Secret Agent Matt Mattics in solving two sets of math problems focusing on a core math concept. Paper and pencil need to be ready as your students record their answers to these math questions (between 7–16 total problems). Each question allows students a certain time limit for answers. Students will check their answers and score points that will qualify them as Cadet, Secret Agent or Master Spy. Please note that this series was produced in Great Britain, where some terminology and phrases might be different than in the United States. For example, the word “naught” is sometimes used for zero as in 0.2 (naught point two) and “maths” is used for math. Secret Mission Dr. Strangeglove has stolen the Starlight Diamond and will become ruler of the math world. It is up to Matt Mattics and his Special Agents to solve two sets of review questions on decimals in order to find the diamond and restore world balance. In the first set of problems, students must identify decimals on a number line. Decimal concepts are extended in the second set of problems, as students are asked to round decimals on a number line to the nearest whole number. Background Knowledge & Strategies In order to handle this secret mission, students must have a basic knowledge of decimals. Revisit the definition of decimals “as numbers used to show amounts smaller than one.” Students should be familiar with tenths, hundredths and how to properly read a decimal (i.e., 3.2 is read as “three and two tenths”). Review basic rules for rounding numbers and connect those same principles to rounding decimals to the nearest whole number. Prepare your Special Agents by using the following sample problems.A question and answer key follows each sample. Set A: Identify the decimal shown on the number line. M 5 1 2 3 4 56 7 8 9 6 1 2 3 Strategies: • Show students how this number line is similar to other number lines, except that it has divisions between the whole numbers to represent decimal values. • Count aloud from 5.0 to 5.1 and so on. Answer: 5.6 Identify the decimal displayed on the number line: M M 1 0 1 2 3 4 56 7 8 9 1 5 2 1 23 4 5 6 7 8 9 M 2 3 0 1 2 3 4 56 7 8 9 1 6 2 1 23 4 5 6 7 8 9 3 M M 0 1 23 4 5 6 7 8 9 1 7 2 1 23 4 5 6 7 8 9 3 8 2 1 23 4 5 6 7 M M 4 0 3 M 1 23 4 5 6 7 8 9 1 Answer Key for Set A (Answers appear in bold) 1. 0.6 2. 0.8 3. 0.45 4. 0.65 5. 2.5 6. 2.9 7. 2.15 89 3 8. 2.85 Set B: Round 2.5 meters to the nearest meter. Strategies: • Model the thought process needed to round numbers. • Use a number line. • Estimate and check. Answer: 3 meters (Continued) Answer Key for Set B (Answers appear in bold) Round each value to the nearest meter: 1. 5.8 m rounds to 6 m 2. 6.4 m rounds to 6 m 3. 7.5 m rounds to 8 m 4. 4.25 m rounds to 4 m 5. 8.75 m rounds to 9 m 6. 6.95 m rounds to 7 m Vocabulary The following words are included for teacher reference and for use with students to refresh and extend the subject matter in the show. decimal — A way to show relationships between parts and wholes. Decimals provide a way to represent numbers smaller than one. decimal point — A symbol that is used to separate whole numbers from numbers less than one. estimate — To find a number that is close to the exact answer of a number sentence. equivalent decimals — Decimals that name the same amount (i.e. 0.5 = 00.500). fraction — A way to compare equal parts to a whole. hundredth — One of 100 equal parts of a whole. rounding — An operation used in estimation by replacing a number with another that tells about how many or how much. For example, 2.9 can be rounded to 3.0, the nearest whole number. tenth — One of ten equal parts of a whole. thousandth — One of 1,000 equal parts of a whole. Follow-Up Discussion & Activities • Discuss with students what they know about decimals.Where have students seen decimals in everyday life? How are decimals similar and different to fractions and percents? • Discuss with students how decimals are used in money. Practice using the decimal point in counting different amounts of change and paper currency. • Scores, times and batting averages add up to decimals in sports! Examine the ways decimals are used in sports. Divide the class into groups according to which sport they like. Have each group search through newspapers, magazines, or other reference sources to collect numerical data about that sport. Once collected, students can sort, compare, and list categories of data. Display the results and discuss. • Use a game to strengthen decimal place-value relationships. On a sheet of paper, have students write the number zero followed by a decimal point and three blanks to represent the tenths, hundredths, and thousandths place value. Call out three different single digits from 1 to 9, one at a time.As the digits are called, students place each digit in any of the blanks on their papers. Encourage students to read their decimals aloud. • Practice ordering and comparing decimals. Give each student a sheet of paper and ask them to write down any decimal they choose using tenths or hundredths. Put students in small groups and encourage them to order their decimals from smallest to largest.As a group, they can create a number line and post their decimals.
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