Math. The. Challenge. More than 130 favorite activities and skill sheets. Creative ideas to teach key math skills

Transcription

1 Math TEC61213 Intermediate More than 130 favorite activities and skill sheets x 0.13 = The Creative ideas to teach key math skills Sammy bought 5 reeds for his saxophone. If eash 1.04 x x 5 Pyramid The best math activities from The Mailbox magazine intermediate edition 2.46 x 3 reed cost $0.29, how much did Sammy spent? 0.2 x x x 3 = 8.2 x 1.4 Challenge 3.4 x x x 6 = 0.4 x 0.5 parallelogram Parallel Both Perpendicular rectangle regular hexagon isosceles trapezoid square right triangle regular octagon right trapezoid rhombus Neither regular pentagon circle equilateral triangle

2 Table of Contents Number and Operations Place value...3 Comparing and ordering numbers...8 Estimation strategies Adding and subtracting decimals Multiplication...29 Division...34 Multiplying decimals...39 Dividing decimals...42 Adding and subtracting fractions...46 Algebra Patterns...54 Simplifying expressions...60 Measurement Linear measurement...63 Perimeter...69 Area...74 Volume...79 Parallel and perpendicular segments...83 Congruent shapes...87 Data Analysis and Probability Probability...90 Mean, median, mode, and range...95 Problem Solving Problem-solving strategies Multiple Skills Math games and activities Skills Index Answer Keys

3 A Chorus Line of Place Value Activities Don t miss a step when it comes to teaching place value with this impressive collection of activities choreographed just for you! Place Value Flips Skill: Identifying a digit s place value If students have trouble grasping a digit s place value, then this flip-a-card activity will clear up their confusion! Have each child program the front of ten index cards with a different number from 0 to 9 and the back of each card with a 0. On the board, write a number, such as 3,217. Have students use their cards to form the number on their desktops. Next, underline the 2 in the number on the board. Ask each student to identify the value of the 2 by removing all cards to its left (the 3). Then direct him to flip over all cards to the right of the 2 (the 1 and 7). Explain that the number represented by the remaining cards (200) tells the value of the 2 in 3,217. Students won t need to flip many cards before they understand the concept. To extend this activity to decimals, have each child label an additional card with a decimal point. Susan Fisher, Centennial Elementary, Dade City, FL Three of a Kind Skill: Recognizing the three forms of a number Try this version of Go Fish to help students recognize the standard, expanded, and word forms (including short word form) of a number. Divide the class into groups of three. Designate one child as the dealer for each group. Then have students follow the directions shown to prepare and play the game. Tammy T. Rober Gr. 4, Beal City Elementary, Mt. Pleasant, MI Materials for each group: 2 copies of page 5, scissors, glue, 18 index cards cut in half, small zippered plastic bag To prepare: Set one copy of page 5 aside to use as an answer key. Cut out the number cards on the other copy. Glue each number card to a different index card half. Then shuffle the index cards. To play: 1. The dealer deals five cards to each player and then stacks the remaining cards facedown in the center of the playing area. 2. Each player makes as many three-way matches as possible from his cards (standard, expanded, and word forms of the same number). He places each matching set of cards faceup in front of him. 3. To begin, the dealer asks a player for a card that matches one in his hand. For example, he might ask, Dana, do you have 4,500? If she has a matching card, she gives it to the dealer who, if possible, places the three matching cards faceup with his other matches. The dealer continues to ask players for cards as long as he makes matches. 4. If the dealer asks for a card a player does not have, he must draw a card from the stack. If he can make a match with that card, he places it faceup with his other matches. If he cannot, he keeps the card in his hand. Then the player to the left of the dealer takes a turn, completing Steps When the stack is depleted, players continue asking for cards until one player runs out of cards. Then the dealer checks all matches with the answer key and awards one point for each correct match. 6. The player with the most points at the end of the game wins. Play additional rounds if time allows. 7. When finished, fold page 5 and store it in the plastic bag along with the playing cards.

4 Roll a Number! Skill: Reading and writing whole numbers and decimals Chances are your kids will actually want to practice place value skills if it means they get to play this fun game! Copy on the board the rules shown. Next, pair students. Ask each pair to draw on notebook paper a chart, such as the one shown (but without the tally marks and totals). Then give each twosome a pair of dice. Explain that each player s turn will consist of 12 rolls: six with one die and six with both. After each roll, have the player follow the rules to mark a tally in the corresponding column of the chart. After his twelfth roll, have the student record the tallied numbers total value and read it aloud. The player with the higher total value wins the round. Have the partners play three rounds. Rules Rolling a 1 = 1,000,000 Rolling a 6 = 10 Rolling a 2 = 100,000 Rolling a 7 = 1 Rolling a 3 = 10,000 Rolling an 8 = 0.1 Rolling a 4 = 1,000 Rolling a 9 = 0.01 Rolling a 5 = 100 Rolling a 10 = Rolling an 11 or a 12 = Add a tally mark in any column on the chart. Same Number or Not? Skill: Recognizing equivalent representations of the same whole number Spill the beans about equivalent forms with this hands-on activity! Give each pair of students 62 dried beans in a plastic bag. Direct students to empty the bag onto a desktop and count the beans. Meanwhile, display 62 beans on a transparency. After students report the number of beans counted, record the number on the transparency and circle the 2. Direct each pair to arrange its beans to show what the circled number has to do with the total number of beans. Guide students to conclude that the 2 represents two groups of one (see the example). Next, circle the 6 and ask students what the 6 has to do with the total number of beans. Help students conclude that 6 represents six groups of ten. Then have each pair rearrange its beans into a group of 50 and a group of 12 as you do the same on the transparency. Ask students whether this arrangement could represent 62 beans (yes). Finally, challenge each pair to find four more bean arrangements that represent 62 (for example, 40 beans + 22 beans, 30 beans + 32 beans, 20 beans + 42 beans, 10 beans + 52 beans). To extend the activity to include three-digit numbers, group two pairs of students together so that each foursome has 124 beans. Repeat the activity, helping students conclude that 1 represents one group of 100, 2 represents two groups of ten, and 4 represents four groups of one. Then challenge each foursome to explore other ways to represent 124, such as 12 groups of ten plus four groups of one. Want to create your own base ten overhead visuals? Just cut plastic mesh canvas (available at a craft store) into units of one, rods of ten, and squares of 100. The pieces are the perfect size to use on an overhead. Plus, they store easily in a plastic zippered bag. Kerri Drabek, Toledo, OH

5 Game Cards Use with Three of a Kind on page 3. Standard Form Word Form Expanded Form Standard Form Word Form Expanded Form 3,389,005 3 million, 389 thousand, 5 3,000, , , , ,345,606 twelve million, three hundred forty-five thousand, six hundred six 10,000, ,000, , , , ,500 4 thousand, 5 hundred 4, ,908 one hundred fifty eight thousand, nine hundred eight 100, , , ,000 four hundred fiftysix thousand 400, , , ,112 two hundred thirty seven thousand, one hundred twelve 200, , , ,306 five thousand, three hundred six 5, ,300 two hundred nine thousand, three hundred 200, , ,632,367 8 million, 632 thousand, 367 8,000, , , , two hundred fifty eight ,670 three thousand, six hundred seventy 3, ,000 three hundred ninety-nine thousand 300, , ,000 The Best of The Mailbox Math The Mailbox Books TEC61213

6 Name Place value from millions to thousandths Color-Coded Costumes The chorus girls at the Place Value Palace wear different colors of costumes during their performances. Identify which color the dancers wear for each routine. First, determine the value of the 7 in each number. Next, look in the chart to tell which color this place value represents. Then identify the color by writing its code and name on the lines provided. The first one is done for you. Place Value of 7 Millions M Blue Hundred Thousands HTh Green Ten Thousands TTh Red Thousands Th Purple Hundreds H Yellow Tens T Aqua Ones O Pink Tenths Tths Brown Hundredths Hths Black Thousandths Thths White ,640, T Code Aqua Color 7,896, ,789, ,574, ,291, ,448, ,878, ,068, ,537, ,345, ,583, ,000, ,876, ,890, ,780, ,007, ,368, Code Color 6,980, ,690, ,206, Bonus Box: Which colors are worn most often by the dancers? Least often? Twice? 6 The Best of The Mailbox Math The Mailbox Books TEC61213 Key p. 125