Building Understanding and Excitement for Children September 2016 Rio Hondo Intermediate School Mrs. Adriana Lippa, Principal I N FO BITS Piece of the pie Fractions and pizza go together like mozzarella and pepperoni. When you eat pizza, ask your child what fraction 2 slices would be 1 (if there are 8 slices, 2 slices = –82 , or – 4 ). But what about the toppings? If there are 48 pepperoni pieces on the pizza and she eats 6 pieces of pepperoni, 6 , or – 1 – what fraction did she have? ( 48 8 of the pepperoni) Engineer a geoboard See what your youngster comes up with when you suggest he build a geoboard. He’ll need a platform (cardboard, wood) and something for the pegs (pushpins, screws). He can decide how big to make his grid, perhaps 5 x 5. When he’s done, he’ll enjoy using rubber bands to make shapes and designs on his own geoboard. Book picks Amazing Minecraft Math: Cool Math Activity Book for Minecrafters (Osie Publishing) is a color-by-number book. Solve a math problem to know what color to make your favorite Minecraft characters. Walk with your child through galleries of fish, mammals, birds, and more in Animalium: Welcome to the Museum (Katie Scott and Jenny Broom). Just for fun Q: What has a neck but no head and two arms but no hands? A: A shirt. © 2016 Resources for Educators, a division of CCH Incorporated Multiplication games What better way to practice multiplication than with games your child will want to play again and again? Here are two you can try today — and tomorrow! Face off Materials: deck of cards (face cards removed, ace = 1) Deal all the cards evenly. Then, each player turns over two cards and multiplies the numbers together. Whoever has the highest product (answer) collects all the cards. If there’s a tie, players turn over their next two cards, and the winner takes all. Keep playing until one person collects the entire deck—he’s the winner. Note: If a player has only one card left, he can multiply it by itself (9 x 9 or 1 x 1). Going underground Multiply to 1,000 Materials: dominoes, 10 scraps of paper numbered 0–9, paper, pencil Spread the dominoes out facedown. Shuffle and stack the papers. On each turn, a player picks a domino and uses it to form the largest two-digit number possible (a domino with 3 dots and 6 dots would make 63). Then, the player draws a slip of paper and multiplies by that number to get his score. For example, if he draws 4, he would multiply 63 x 4 for a score of 252. On each round, add your score to your previous one. Whoever reaches 1,000 first wins the game. There’s a whole world of activity just under the grass that your youngster can explore. Let her turn a shovelful of dirt over to see what it uncovers, such as: ● Earthworms. Worms help to break down leaves and other material, and they move nutrients and minerals around for healthy soil. Can your child find one and identify its head and tail? (Hint: Worms usually move head first.) ● Roots. Ask her to point to roots in the dirt and follow them to their source. A long single root might be a dandelion, branching roots may be clover, and a thick, strong root could belong to a tree. Intermediate Edition September 2016 • Page 2 The best graph for the job Graphs help your youngster visualize and understand data. Use this activity to show her how we use different types for different purposes. Together, find a bunch of graphs from newspapers and magazines. Cut them out, and snip off the headlines and labels. Mix them all up. Now, ask your child to put them back together. As she matches the headings and labels to the graph, she’ll learn See the SCIENCE (surface) LAB tension Your youngster can combine a little water and soap to have a lot of fun with surface tension. You’ll need: eyedropper, cup of water, nickel, liquid soap, towel Here’s how: Let your child use the eyedropper (or drip water from his fingertip) to slowly put water on the nickel, counting how many drops it holds before the water washes over the edge. Have him dry off the nickel, add a few drops of soap to the water, and repeat the experiment. What happens? The nickel will hold a surprising amount of regular water, but not nearly as much soapy water. Why? Water molecules are tightly stuck together, creating what’s called surface tension. That’s what keeps the water from flowing over. Soap breaks apart the water molecule bonds, decreasing the surface tension. Real-world fact: This is why soap helps clean dishes. It breaks apart the water molecules so they mix with grease and wash it off dishes. O U R P U R P O S E To provide busy parents with practical ways to promote their children’s math and science skills. Resources for Educators, a division of CCH Incorporated 128 N. Royal Avenue • Front Royal, VA 22630 540-636-4280 • [email protected] www.rfeonline.com © 2016 Resources for Educators, a division of CCH Incorporated ✔ A line graph is best for showing data over time, like daytime temperatures for a week. ✔ A bar graph is good for comparisons, such as the popularity of various types of music. ✔ A pie chart (or circle graph) shows parts of a whole, as with the age ranges of people who use the Internet. about which types of graphs are used for different kinds of data. When she finishes, take turns pointing out something you learned from the graphs. Your youngster might notice that the temperature suddenly dropped on Thursday, more people listen to pop music than rock music, or that young adults use the Internet more than any other age group does. She’ll be amazed at the information you can learn from a graph, especially if you use the right one for the job! Squared away MATH How can you tell when a rectCORNER angle is a square? Challenge your child to find objects she thinks are squares — perhaps picture frames, cheese slices, or sticky notes — and then do these tests to see if they actually are. Test 1: Since squares have four equal-length sides, she needs to measure all the sides with a ruler. Are they the same length? If not, it’s not a square. If they are the same, she’ll move on to the next test. Test 2: A square’s four angles are all right angles. Suggest she use the corner of an index card for comparison. Do all the angles of the object match the corners of the card? If they do…she’s found a square! Idea: Ask your child if she knows what the shape is if all four sides are equal but the angles are not all right angles. Answer: a rhombus. I can! Q Yes, Q: My son thinks he can’t do math & A because he makes mistakes. How can I show him that he can succeed in math? A: Here’s a simple idea that’s pretty effective: Whenever your son says things like, “I can’t…” or “I don’t understand…,” add the word “YET.” You can explain that that is what learning is all about — adding knowledge we don’t have “yet” as well as learning from mistakes we make. Then, try this. Have your youngster work one of his math homework problems out loud for you. Going step by step, he’s likely to find where he got stuck. You might be able to ask him questions that will steer him toward the answer, or he could ask his teacher for help the next day. Also, point out what he did understand, even if it was only saying the problem in his own words or doing the first step. Building Understanding and Excitement for Children October 2016 Rio Hondo Intermediate School Mrs. Adriana Lippa, Principal I N FO BITS Artistic angles Suggest that your child draw a picture using only straight lines. He might sketch a city landscape, an apartment building, or an abstract design. When he’s done, can he identify the right (90°), acute (less than 90°), and obtuse (over 90°) angles? Tip: He could use a protractor to measure the angles. What is friction? Have your youngster set up two ramps for a toy car, one smooth (a book, a piece of wood) and one rough (corrugated cardboard, a carpet scrap). She’ll see that the car goes more slowly on the rough ramp— and learn about friction, or the resistance of motion when objects rub against each other. Web picks Help the monster get home by solving multiplication and division story problems at members.learning planet.com/act/mc/freemenu.asp. Visit teacherstryscience.org/kids for experiments with sound waves, chemical reactions, and more. Just for fun Q: A girl came to town on Monday. After staying three days, she left on Monday. How did she do that? A: Her horse was named Monday! © 2016 Resources for Educators, a division of CCH Incorporated Fabulous fractions Your child needs to know about fractions for math class, as well as for everything from cooking to construction to finances when she grows up. Use these ideas to build everyday fraction skills. Name them Ask your youngster to make fractions from the world around her. You might say, “What fraction of the month has passed?” If the month has 31 days, that’s the whole, and – of if it’s the 12th, 12 is the part — so 12 31 the month has gone by. Go back and forth with each other, creating fun fractions like “What fraction of your book have you read?” or “What fraction of your socks are striped?” Add them Race to the finish line — by adding fractions. Have your child draw a number line from 0 to 12, labeling three evenly spaced tick marks (–41 , –21 , –43 ) between each pair of whole numbers. Then, she can write 8 fractions on A fraction is simply a part of a whole. The numerator (top number) is the part, and the denominator (bottom number) is the whole. separate note cards (–41 , –41 , –42 , –42 , –43 , –43 , –44 , –44 ) and turn them facedown. To play, each person places a token at 0. Take turns picking two cards. Add the fractions 2 =– 3 shown ( say, –41 + – 4 4 ), and move your marker by that sum (from 0 to –43 ). As she moves up the number line, she’ll work with mixed numbers, too (4 –43 + –21 = 5–41 ). Be the first to reach 12 — exactly! Build me a home How do engineers design houses to protect against weather conditions? Dream up weather scenarios, and write each one on an index card. (“Snowy, very cold.” “Rains daily, extremely hot.”) Then, choose cards, and build homes to suit, using household materials like craft sticks, clay, boxes, straws, and tape. Pose questions to get your child thinking: ✔ If it’s very cold, should the house have thin walls or thick walls? ✔ What would protect against high winds? ✔ What kind of roof would help rain- water run off? Now, show off your houses to each other —and talk about where they might exist! Intermediate Edition October 2016 • Page 2 The great pumpkin Observe ● At a pumpkin patch, encour- A fall pumpkin is a good excuse for having math and science fun. Measure ● How much does a pumpkin weigh? Let your youngster weigh himself, then weigh himself again while holding a pumpkin. The difference is the pumpkin’s weight. ● How big around is the pumpkin? Have your child wrap a string around its middle like a belt, cut the string to fit, and measure its length. That’s the circumference (distance around). DoubleMATH R digit dash CORNE Multiplying two-digit numbers is a skill that’s developed with practice. This game will give your child that practice. Have your youngster make a 5 x 5 grid (like a bingo card). Above each column and to the left of each row, he can write any two-digit number. The object is to get four in a row — across, down, or diagonal. The first player picks an empty square and multiplies the column and row numbers together (example: 24 x 35 = 840). If he gets it right, he writes the answer in the square. (Tip: Use a calculator to check answers.) The other player, using a different color pen, takes his turn. Play until someone gets four in a row or the board is full and it’s a draw. O U R P U R P O S E To provide busy parents with practical ways to promote their children’s math and science skills. Resources for Educators, a division of CCH Incorporated 128 N. Royal Avenue • Front Royal, VA 22630 540-636-4280 • [email protected] www.rfeonline.com © 2016 Resources for Educators, a division of CCH Incorporated age your youngster to notice where pumpkins grow (on a vine, on the ground). How many pumpkins are on each vine? Suggest that he talk to the farmer or read library books to learn more about how pumpkins grow. ● At home, cut off the top of a pumpkin, and let your child scoop out the insides. Have an adult carefully light a candle inside the pumpkin. What happens if you put the top back on? (The light goes out.) Try again after carving a face. Why does the candle stay lit this time? (Because the holes let in oxygen.) SCIENCE Water, water everywhere LAB must come down— What goes up and go back up! Show your youngster how the water cycle works. You’ll need: mug, large bowl, measuring cup, hot water, plastic wrap, 4 quarters, ice cubes Here’s how: Help your child set the mug in the bowl and carefully pour 1 cup hot water around it. top (in Have her cover the bowl tightly with plastic wrap, place the quarters on the center), and add ice cubes all around them. rise. What happens? The hot water quickly starts to change into water vapor and underthe on s droplet When it hits cold air (from the ice cubes), it changes to water into side of the plastic wrap. The weight of the quarters funnels the water so it drips mug. her in water find the mug. If your youngster pulls off the plastic wrap, she’ll as Why? When water is heated by the sun, it evaporates, rising into the air ses conden it cools, vapor water the water vapor and collecting into clouds. As back into water and eventually falls to the earth as rain or snow. PARENT TO R A P ENT Think your way to 100 I noticed that my daughter Tia didn’t like to do math in her head. Since my mother is a fourth-grade teacher, I asked her for ideas. She suggested this “mental math” game. To win a point, you have to reach 100 in two steps —no paper or calculators allowed. On each turn, give the other player a number and two operations to use, such as division and addition or multiplication and subtraction. For example, I gave Tia the number 77 and said to use division and addition. It took her a few minutes, but she figured out she could divide 77 ÷ 11 = 7 and then add 7 + 93 = 100. Tia is surprised that she’s enjoying doing math problems in her head. And you know what? It’s good for my brain, too! Building Understanding and Excitement for Children November 2016 Rio Hondo Intermediate School Mrs. Adriana Lippa, Principal I N FO BITS Counting by 7s Suggest your child count out loud by 7s. The catch is —she needs to start at 17. As she counts (17, 24, 31), ask her how she’s figuring it out in her head. She might say, “I added 3 to 17 and then added 4 more.” Try giving her different starting points and numbers to count by to keep her thinking mathematically! Wall of questions Asking questions is common for children, and it’s critical for scientists. Foster curiosity by having your youngster create a “Question Wall” where he tacks up science questions and— when he finds them—the answers. He may wonder, “Why do cheetahs run so fast?” or “How do rockets lift off?” He can look up information or do experiments, and soon he’ll have a collage filled with scientific facts. Book picks Geometry, logic, division, and measurement come together for fun in The Everything Kids’ Math Puzzles Book (Meg, Glenn, and Sean Clemens). Science Experiments You Can Eat (Vicki Cobb) presents tasty ways to learn the science behind gelatin or how sugar decomposes to make caramel syrup. Just for fun Q: Why can’t you trust atoms? A: Because they make up everything! © 2016 Resources for Educators, a division of CCH Incorporated Try it this way—or that way! Having more than one math strategy to use helps your youngster solve problems more easily and gives him confidence. Suggest these two. Commutative property You might commute to work. In math, commuting means moving around numbers rather than people. Your child can change the order of numbers in addition or multiplication problems — no matter how many numbers he’s adding or multiplying — and get the same answer. Encourage him to turn this concept into a strategy: He could re-order numbers within a problem to make it easier to solve. Example: Change 112 + 66 + 8 to 112 + 8 + 66 because 112 + 8 = 120, and then 120 + 66 = 186. Area model When multiplying two numbers, suggest your youngster draw a rectangle on graph paper to match the problem. For 4 x 8, he would make a rectangle that is 4 rows by 8 columns. Then, he could count the squares inside to see that 4 x 8 = 32. With larger numbers, he can divide the rectangle into smaller chunks that are easier to multiply in his head. Say he’s solving 16 x 5. He might draw a rectangle 16 rows by 5 columns and then mark a line to divide the 16 rows into 10 rows and 6 rows. He now has two rectangles (10 x 5 and 6 x 5) that are easier to multiply in his head—and then add to get his answer (10 x 5 = 50, 6 x 5 = 30, and 50 + 30 = 80). “A day in the life of…” In school your child often writes about herself, maybe even about what she does in a day. But has she ever considered what a day is like for a volcano or a frog? Let her choose something she’s interested in and write a creative story about its “day.” If volcanoes fascinate her, she might build one with baking soda and vinegar and then draw a cartoon about what she witnessed. “The first thing Victor Volcano noticed in the morning was that the earth was shaking. ‘Hmm… I may blow my top today!’” Encourage her to include details like a diagram of a volcano or a list of famous volcanoes. Intermediate Edition November 2016 • Page 2 Can you repeat that? Numbers. This time, give your child a pattern with numbers that involves a two-step rule—two operations that have to be applied in a row. Example: 2, 6, 5, 15, 14. She will have to identify your rule (x 3, –1) to determine the next two numbers (42, 41). Now let her think of a two-part rule and give you a number pattern to solve. Creating and recognizing patterns is an important skill that prepares your child for algebra. It’s also a fun activity. Shapes. Start with two shapes (circles, squares) and make a pattern for your youngster to complete. For instance, you could draw ■ ● ● ■ ● ■ ● ● ■ ● _ _ _ _ _. She’ll have to figure out how long the pattern is (5 shapes) to complete it ( ■ ● ● ■ ●). Take turns giving each other long patterns with shapes or designs. SCIENCE LAB Indoor rainbows Let your child make his own rainbow— on paper. You’ll need: water, plastic plate, paper, clear nail polish Here’s how: Have your youngster put water in the plate (–18 ʺ to –41ʺ deep) and submerge a piece of paper. Help him drip several drops of nail polish into the water over the paper. Then, ask him to pull the paper out of the water —catching the film of polish as he brings it up. When the paper dries, he should look at it in the light, moving it around at different angles. What happens? He will notice a rainbow of colors. Why? The nail polish and water combine for a chemical reaction that forms a thin film on the paper. When light, which is made up of multiple colors, bounces off the film, it separates into different colors. Extension: Suggest that he try this with paper of different colors or textures. Do the results change? O U R P U R P O S E To provide busy parents with practical ways to promote their children’s math and science skills. Resources for Educators, a division of CCH Incorporated 128 N. Royal Avenue • Front Royal, VA 22630 540-636-4280 • [email protected] www.rfeonline.com © 2016 Resources for Educators, a division of CCH Incorporated Q We have a situation here & A Q: My son Zach gets confused by word problems. How could we help him? A: Suggest that he think of them as “situations.” Can he draw or describe what’s happening? What comes first? What’s next? For example, “John makes birdhouses. He made 7 birdhouses with 21 pieces of wood. How many pieces of wood would he need for 10 birdhouses?” Your child might think through the problem like this: 1. “The situation is about John making birdhouses.” 2. “First, John makes 7 birdhouses with 21 pieces of wood.” 3. “I’ll draw that or write it like 21 pieces of wood ÷ 7 birdhouses = 3 pieces of wood for each birdhouse.” Tip: Labels remind him of the situation. 4. “How much wood is needed for 10 birdhouses? 3 pieces of wood x 10 birdhouses = 30 pieces of wood in all.” If he talks and draws his way through each word problem, he’ll better understand the situation. MATH That says volumes CORNER Volume is about Calculate and compare how much space an object takes up or can hold. Here’s a great way for your child to understand this concept. Measure boxes Have your youngster and a friend gather empty rectangular containers (cereal box, shoebox, brownie mix box). Using a ruler, each child should measure the height, length, and width of each box and write the dimensions, rounded to whole numbers, on separate sticky notes (12ʺ, 8ʺ, 2ʺ). Then, they should trade their notes. Can they match the sticky notes to the right objects? Next, the friends could determine the volume of each item by multiplying the three numbers together (volume = height x length x width). To help them see how the volumes compare, they might line up the objects from smallest to largest volume. Idea: Let them fill the largest container with popcorn and pour the popcorn from one container to the next, noticing how much fits. They can enjoy snacking on the pieces that spill over! Building Understanding and Excitement for Children December 2016 Rio Hondo Intermediate School Mrs. Adriana Lippa, Principal I N FO BITS Be a “liter” bug If 5 milliliters is the amount of liquid that could fit in a teaspoon, how many milliliters does your child think are in 4 oz. of water? Have him make a prediction. Then, he could use a metric measuring cup to check. Idea: Let him practice multiplication by figuring how many milliliters would be in 8 or 16 oz. of water. Up in the air Challenge your youngster to create a flying machine that will stay airborne for at least three seconds. She could use paper, straws, toilet paper tubes, tape, or other household materials to make an airplane. Or she might design a helicopter, a hot-air balloon, or other flights of fancy all her own. Web picks At math-play.com/index.html, your child can click on his grade level to play Multiplication Jeopardy or practice division with Math Magician. Make fossils or create a tiny tornado with the exciting experiments at scholastic.com/magicschoolbus/games/ experiments/. Just for fun Q: Why couldn’t the astronaut find a hotel room on the moon? A: The moon was full! © 2016 Resources for Educators, a division of CCH Incorporated Shape up: Comparing attributes Geometric shapes may look different but share similar traits. With these ideas, your youngster can build 2-D and 3-D shapes and explore their attributes. Triangles Ask your child how many different kinds of triangles she could design with toothpicks and gummy bears or mini marshmallows. She might use 3 toothpicks for one side, 4 for another, and 6 for the last side—that’s a scalene triangle with three different-length sides and angles. Or if she leaves all sides the same length, that’s an equilateral triangle. Can she make an isosceles triangle (where just two sides are equal)? Quadrilaterals Suggest that your youngster form a rectangle, a square, and a trapezoid. What do they have in common? (They Good vibrations all have four sides.) Have her point out parallel sides or equal-length sides. For instance, a square has four equal sides and two sets of parallel sides. Solid shapes Now your child might try her hand at 3-D shapes, such as a cube or a triangular prism. Encourage her to count the number of faces, edges, and vertices for each one. For instance, a cube has 6 faces, 12 edges, and 8 vertices. (Note: A face is the flat side, the edge is where two faces meet, and a vertex is where three or more faces meet.) Making homemade instruments is a fun way to play with the vibrations that create sounds. Suggest your child try these—and figure out what is vibrating. ● Drum. Bang a metal can with a spoon (the spoon vibrates). ● Guitar. Stretch rubber bands around a box to pluck (the rubber bands vibrate). ● Flute. Blow across the narrow opening of a glass bottle (the air inside vibrates). Does your youngster know that his voice is an instrument, too? Have him place his fingertips on his throat and then recite his vowels, cough, growl, and say his name in a whisper. How do the vibrations vary? Intermediate Edition Round up, round down Rounding is useful in math class to estimate answers and check homework—and in real life to estimate purchases or plan a budget. Let your child see how rounding works with these steps. 1. Have your youngster roll four dice and randomly arrange them into a four-digit number (say, 4,123). He should write the number on the left side of a sheet of paper. 2. Next to it, he rounds the number to the nearest thousand (4,000), hundred (4,100), and ten (4,120). 3. Now he rolls again to get a second number (say, 2,164). Your child rounds that number to each place value as well: 2,000, 2,200, and 2,160. SCIENCE LAB Warm gloves—or are they? In cold weather, gloves keep your youngster’s hands warm—not by magic, but by science. She can see why with this experiment. You’ll need: glove, thermometer (such as a meat or candy thermometer) Here’s how: Have your child put the thermometer inside the glove and take its temperature. Then, she should wear the glove for about 30 minutes. When she takes it off, let her check the temperature inside the glove again. What happens? At first, the glove was around room temperature. After being on her hand, it warmed up, getting closer to body temperature of 98.6 degrees. Why? Gloves alone do not produce heat. But people produce and give off heat. When your youngster puts on gloves, the heat is trapped and keeps her hands warm. That’s a good reminder of why she should wear gloves when it’s cold out! O U R P U R P O S E To provide busy parents with practical ways to promote their children’s math and science skills. Resources for Educators, a division of CCH Incorporated 128 N. Royal Avenue • Front Royal, VA 22630 540-636-4280 • [email protected] www.rfeonline.com © 2016 Resources for Educators, a division of CCH Incorporated PARENT TO R A P ENT December 2016 • Page 2 4. Let him add each col- umn of rounded numbers to get three rounded totals: 4,000 + 2,000 = 6,000 4,100 + 2,200 = 6,300 4,120 + 2,160 = 6,280 5. Finally, he can add the two actual numbers: 4,123 + 2,164 = 6,287. He’ll see that with each rounding, he got closer to the real answer. Hint: To remember whether to round up or down, he could underline the digit to the right of the place to be rounded: 0–4 rounds down, and 5–9 rounds up. Show me the fraction My daughter Mollie has been working on fractions at school and wanted to practice at home. I came up with an appetizing way to feed her tummy and her brain. First, I asked her to write various fractions on pieces of paper and put them in a bowl. She wrote these: –31 , 3–41 , –84 , 5–21 . Then, I offered her pretzels for a “fraction snack.” Mollie picked a fraction from the bowl, 3–41 , and went to work. She put out 3 pretzels, then broke a fourth pretzel into 4 parts, and added one part to the 3 whole ones. Now she was ready to eat 3–41 pretzels! Other days she has picked a fraction slip and made –31 of an apple or 5–21 crackers with cheese. The extra “snack practice” has helped Mollie grasp the concept of fractions. MATH Rhymes for primes R E N R O C Does your child know that prime numbers go into infinity? See how many he can find and remember by making up rhymes for each one. Starting with 2, have him use scratch paper to check if each number could be divided by anything besides 1 and itself. Then, take turns coming up with funny rhymes like these for the ones that pass the test: • The prime number 2 Got stuck in the goo • Up in a tree Is prime number 3 What’s a prime? Prime numbers are those whose only factors are 1 and the number itself. For instance, 3 is prime because only 1 and 3 can be multiplied together to equal it (1 x 3 = 3). Let your youngster write down the primes—and the rhymes. He might even want to turn them into a poster or a booklet. When he finds the next prime, it’s time for another rhyme!
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