Greg Tang’s A Visual Approach To Operations & Word Problems
Cabarrus K-2 Teacher WorkshopsApril 18, 2018Concord, NCGreg Tang’sA Visual Approach ToOperations & Word ght Gregory Tang
Number Bonds Instead of Equations!Visually see the relationship betweenaddition & subtraction and their properties.?3?23 2 ?2 3 ? 3 2? 2 38 2 ?2 8 ?545–4 ?5–? 44 ? 5? 4 5GregTangMath.com28? 8 2? 2 810?10 – ? 710 – 7 ? 7 107 ? 10? 5–44 5–?5 4 ?5 ? 4277 10 – ? 10 – 710 ? 710 7 ?copyright Gregory Tang
2-digit Addition & SubtractionWhat’s the number bond?1.36 36 2.68 15 3.53–25 4.82–47 GregTangMath.com3copyright Gregory Tang
Partial Sums & Differences1.2.286 3792, 6 5 8 3, 7 6 53.4.754 – 467GregTangMath.com7, 5 4 2 – 2, 6 8 94copyright Gregory Tang
K-2Word ProblemsAdd to(join)Take from(separate)Put together/Take apart(part-whole)Result UnknownComparewith fewerStart re.Total UnknownAddend saregreen?Difference UnknownComparewith moreChange UnknownBigger UnknownBoth Addends inherredvaseandhowmanyinherbluevase?Smaller m CCSS, p. 88, which is based on Mathematics Learning in Early Childhood: Paths Toward Excellence and Equity, National Research Council, 2009, pp. 32–33.GregTangMath.com5copyright Gregory Tang
6-Step FrameworkC. Forsten & G. Tang1. Read the entire problem.2. Rewrite the question as a statement.3. Who or what is the problem about?4. Draw your model.5. Solve your equation(s).6. Check your answer.GregTangMath.com6copyright Gregory Tang
Word Problem Progression: Kindergarten Type1.Katie picked 25 apples. Emily gave her 17 more. How manyapples does Katie have now?4. There are 32 bananas altogether. Tammy uses 16 to makebanana bread. How many bananas are left?GregTangMath.com7copyright Gregory Tang
Word Problem Progression: Kindergarten Type7. There are 18 cats and 29 dogs waiting to be adopted.How many animals are there in all?9. Emily has 42. How much can she spend on clothes and howmuch can she spend on school supplies?GregTangMath.com8copyright Gregory Tang
Word Problem Progression: Grade 1 Type2. Kelsey had 19 shells. Dustin gave her some more. Now shehas 35 shells altogether. How many shells did Dustin giveKelsey?5. Kelsey had 21 snails in her bucket. Some of the snailscrawled out. There are 7 snails left. How many snailscrawled out?GregTangMath.com9copyright Gregory Tang
Word Problem Progression: Grade 1 Type7. There are 14 green crabs, 18 red crabs and 12 hermit crabsin a tide pool. How many crabs are there in all?8. There are 23 clams in the tide pool. 6 are on top of thesand. How many are hiding under the sand?GregTangMath.com10copyright Gregory Tang
Word Problem Progression: Grade 1 Type10. Kevin scored 92 goals and Conor scored 75 goals. How manymore goals did Kevin score than Conor?13. Edith read 78 books and Myron read 93 books. How manyfewer books did Edith read than Myron?GregTangMath.com11copyright Gregory Tang
Word Problem Progression: Grade 1 Type11. There are 18 starfish in the tide pool. There are 15 moresea urchins than starfish. How many sea urchins are there?15. There are 32 fish. There are 19 fewer shrimp than fish.How many shrimp are there?GregTangMath.com12copyright Gregory Tang
Word Problem Progression: Grade 2 Type3. Tim had some dairy cows. He bought 27 more and now has60 cows altogether. How many cows did Tim have to start?6. Andy had some sheep. He gave 24 sheep to Jamie. Andyhas 38 sheep left. How many sheep did he have to start?GregTangMath.com13copyright Gregory Tang
Word Problem Progression: Grade 2 Type12. Karen has 41 ducks. She has 18 more ducks than chickens.How many chickens does Karen have?14. Paige planted 36 peach trees. She planted 12 fewer peachtrees than apple trees. How many apple trees did she plant?GregTangMath.com14copyright Gregory Tang
Word Problem Progression: Two-step Problems7 12. Sandy planted 26 blueberry bushes. She planted10 more blueberry bushes than raspberry bushes.How many bushes did she plant in all?12 14. Marcus planted 38 pine trees. He planted 12 fewerpine trees than oak trees. He planted 10 more oak treesthan maple trees. How many maple trees did he plant?4114241140GregTangMath.com15copyright Gregory Tang
Word Problem Progression: Two-step Problem8 10. On Halloween, Emily and Katie collected 60 pieces of candyin all. Emily collected 24 pieces of candy. How many morepieces of candy did Katie collect than Emily?8 12. There are three classes with 63 students in all.The largest class has 3 more students than the nextlargest class. There are 24 students in the largest class.How many students are in the smallest class?4111241118GregTangMath.com16copyright Gregory Tang
Word Problem Progression: Rigorous Problem9 15. Together, Annette and Marissa saved 56 quarters.Marissa has 8 fewer quarters than Annette.How many quarters does Annette have?9 11. Kevin found 15 more shells than Brian. Together, the twoboys found 41 shells. How many shells did Brian find?4113241113GregTangMath.com17copyright Gregory Tang
Grade 1 Type Multi-step ProblemKatie, Erin and Jane went apple picking.a. Jane picked 8 apples. Katie gave her some more. Jane nowhas 15 apples. How many apples did Katie give Jane?b. Erin picked 12 apples. She used some for a pie and has 7apples left. How many apples did Erin use in her pie?c. Katie picked 8 Empire apples, 5 Macintosh apples and someCortland apples. If she picked 17 apples altogether, howmany Cortland apples did Katie pick?d.* How many more apples did Erin pick than Jane?e. Erin picked 9 red apples. She picked 6 fewer green applesthan red apples. How many green apples did Erin pick?GregTangMath.com18copyright Gregory Tang
Grade 2 Type Multi-step ProblemKaren and Tim were sorting equipment in the gym.a.Karen found some jerseys in a bag. She put 17 more in thebag and now there are 30. How many jerseys were first inthe bag?b.Tim found some jump ropes in a box. He took 14 out andleft 18 in the box. How many were first in the box?c.There are 16 more softballs than baseballs. There are 41softballs. How many baseballs are there?d.Tim counted 14 fewer footballs than soccer balls. Thereare 28 footballs. How many soccer balls are there?e.* Karen found a bag of whiffle balls. She arranged them in anarray with 3 balls in each row. She then rearranged theballs to make an array with 2 in each row and 3 additionalrows. How many whiffle balls were in the bag?GregTangMath.com19copyright Gregory Tang
Shift focus away from the answer.1. Jill caught 8 fish. Jack caught 6 fish.2. Dustin ate some cookies. Kelsey ate fewer cookies than Dustin.3. There were 11 fish in the tank. Jacques added 7 more fish.Now there are 15 fish altogether.4. 9 pigs were in the pen. Oscar removed 3 pigs.Now there are 12 pigs altogether.GregTangMath.com20copyright Gregory Tang
Write your own.1. Add to, change unknown.2. Take from, start unknown.3. Take apart, addends unknown.4. Compare with more, smaller unknown.5. Compare with fewer, larger unknown.Greg Tang’s Word Problem Generator:gregtangmath.com/resources opyright Gregory Tang
Word Problem Progression: Rigorous Problem1. The boys hockey team had 12 more pucks than the girls team.If the boys give the girls 5 pucks, how many fewer pucks willthe girls have than the boys?2. Emily and Katie have 48 shells altogether. If Emily givesKatie 10 shells, they will have the same number of shells.How many shells does Emily have?411241134GregTangMath.com22copyright Gregory Tang
Word Problem Progression: Rigorous Problem3. Emily and Kara read 42 pages. Kara and Lauren read 36pages. Emily and Lauren read 40 pages. How many pages didthe three friends read altogether?411241134GregTangMath.com23copyright Gregory Tang
Tangy TuesdayTM Clever Reasoning ProblemsGrade K – 1235Jenna has pets. are cats andare dogs. She has more cats than dogs.561117There are girls and boys in Mr. Bock’sclass. Mr. Bock has students all together.There are fewer boys than girls.Greg Tang’s Tangy Tuesday weekly puzzle pack for grades K-5.5 new puzzles each week. Visit store.gregtangmath.com.GregTangMath.com24copyright Gregory Tang
Tangy TuesdayTM Clever Reasoning ProblemsGrade 2 – 336915Dan ran laps and Mark ran lapsat recess. Together they ran laps.Mark ran more laps than Dan.2720In her final basketball game, Shaunascored 2-point shots and3-point shots for a total of points.Greg Tang’s Tangy Tuesday weekly puzzle pack for grades K-5.5 new puzzles each week. Visit store.gregtangmath.com.GregTangMath.com25copyright Gregory Tang
SmartHappy Valentine’s Day!Can you solve using ONLY mental math? (k) 6 8 Greg Tang’s Tangy Tuesday weekly puzzle pack for grades K-5.5 new puzzles each week. Visit tangmath.com.GregTangMath.com26copyright Gregory Tang
SmartHappy Valentine’s Day!Can you solve using ONLY mental math? ( )– 17– 11 Greg Tang’s Tangy Tuesday weekly puzzle pack for grades K-5.5 new puzzles each week. Visit tangmath.com.GregTangMath.com27copyright Gregory Tang
SmartHappy Valentine’s Day!Can you solve using ONLY mental math? ( ) 9 12 7Greg Tang’s Tangy Tuesday weekly puzzle pack for grades K-5.5 new puzzles each week. Visit tangmath.com.GregTangMath.com28copyright Gregory Tang
SmartHappy Valentine’s Day!Can you solve using ONLY mental math? ( ) 19 23 Greg Tang’s Tangy Tuesday weekly puzzle pack for grades K-5.5 new puzzles each week. Visit tangmath.com.GregTangMath.com29copyright Gregory Tang
Greg Tang’s Tangy Tuesday weekly puzzle pack for grades K-5. 5 new puzzles each week. Visit store.gregtangmath.com. Tangy TuesdayTM Clever Reasoning Problems . Can you solve using ONLY mental math? ( ) Greg Tang’s Tangy Tuesday weekly puzzle pack for
Formulary from Shang Han Lun 12 categories 113 formulas 1. Gui Zhi Tang 桂枝汤 2. Ma Huang Tang 黄 汤 3. Xiao Chai Hu Tang \ 柴胡汤 4. Zhi Zi Gu Tang 栀 汤 5. Xie Xin Tang 泻汤 6. Bai Hu Tang 虎汤 7. Cheng Qi Tang 承汤 8. Li
copyright 2012 Greg Tang Math LLC www.GregTang.com The Art of Smart www.gregtang.com www.gregtang.com Greg Tang’s June 19, 2012 GregTangMath.com Gre
unigrams and bigrams in Tang poems, and looked for Chinese synonyms in Tang and Song poems (Hu & Yu 2002). Lee attempted to do dependency parsingof Tang poems (Lee & Kong 2012), and explored the roles of named entities, e.g., seasons and directions, in Tang poems (Lee &Wong 2012).
Kinh Địa Tạng Bồ tát Bổn Nguyện 3 BÀI TỰA ĐỊA TẠNG BỒ TÁT Chí Tâm Quy Mạng Lễ: U Minh Giáo Chủ Bổn Tôn Ðịa Tạng Bồ tát Ma ha tát. Lạy đức từ bi đại Giáo chủ! “Ðịa” là dày chắc, “Tạng” chứa đủ. Cõi nước phương Nam nổi mây thơm, Rưới hương, rưới hoa, hoa vần vũ,
algebraically – the key to being good in math. Greg Tang’s three-part multiplication series builds on the revolutionary strategies he first introduced in his best-selling picture book The Best of Times and made even more popular with his Great Times TM multiplication flash cards. Now, Greg
BSF 1/4"-26 UNC 5/8"-11 1/4 Gang 1/4 pitch 1/4 Gang 1/4 pitch Break tang Please remove the tang from the thread using the tang break-off tool. The tang of threads M 14 should be broken off with long-nosed pliers by a
sea routes to trade with the Chinese including jewels, birds, animals, textiles, drugs, foods, woods, and plants. A commodity that is often neglected in the discussion of trade during the Tang is the trade of slaves between the Chinese and foreign traders. Tang slavery is an extenuation of the history of slavery in China; however, the Tang slave
ASTM C167 Standard test methods for thickness and density of blanket or batt thermal insulations ASTM C518 Standard test method for steady-state thermal transmission properties by means of the heat flow meter apparatus . TL-205 HOME INNOVATION RESEARCH LABS Page 6 of 6. ASTM C653 Standard guide for determination of the thermal resistance of low-density blanket-type mineral fiber insulation .
