Content Area Math Course: 5th Grade Math Unit: Numbers and Operations TEKS Guiding Questions/ Specificity Assessment Instructional Unit: 1st Instructional Period Days to teach: 26-27 Vocabulary Instructional Strategies Resources/ Web links 5.3 The student applies mathematical process standards to develop and use strategies and methods for positive rational number computations in order to solve problems with efficiency and accuracy. 5.4 The student applies mathematical process standards to develop concepts of expressions and equations. The student is expected to: 5.3(A) estimate to Estimate solutions prior Q1: Anna pays $618 for six front end estimation, Model how to round MM p. 31-38 determine solutions to to solving. months of music lessons. She with number line and mathematical and realpays the same amount for compatible number compatible numbers. Engaging Math Vol. I world problems Students understand lessons each month. Which of estimate reasonable P18-25 involving addition, estimating allows you to the following is the best round about subtraction, do mental math. estimate of the amount Anna Guided practice using AIRR 95,98,99,101 multiplication, or pays each month? rounding and division; Peer Discussion: In what A $100 B $150 ELPS compatible numbers. Learn Zillion Estimation situations is it appropriate C $125 D $200 Strategies: Supporting to estimate instead of get Video: Math antics an exact answer? Q2: A delivery truck is 1C, 1E, 2E, 3E, Rounding carrying 80 televisions in 3H,4D, 4F, 5B individual boxes. Each box Safari: Math'scool Lesson weighs between 26 and 37 1.5 Estimation pounds. Which of the following is a reasonable estimate of the total weight of the boxes? 2,500 pounds 880 pounds 3,400 pounds 5,000 pounds 5/2017 1 Content Area Math Course: 5th Grade Math Unit: Numbers and Operations TEKS Guiding Questions/ Specificity 5.4(F) simplify numerical expressions that do not involve exponents, including up to two levels of grouping; Readiness Example: (3 +7) ÷ (5 – 3) Use Order of Operations May include fractions and decimals Assessment Q1: All the minutes used by Mrs. Larsen and her 3 children for cell phone calls last month were reported on the same bill. The bill showed that a total of 1,850 minutes had been used last month. Mrs. Larsen used 462 minutes. Her son used twice as many minutes as she used. Each of her daughters used the same number of minutes. The expression below can be used to find the number of minutes each of Mrs. Larsen's daughters used. Instructional Unit: 1st Instructional Period Days to teach: 26-27 Vocabulary Instructional Strategies Simplify, expression, equivalent Resources/ Web links *Graphic Organizer: Outlining order of operation. Exemplar Lesson Model steps in order of operations. Engaging Math Vol. I p. 144-151 *Technology-assisted instruction: Use Order of Operation Calculator on www.mathisfun.com to check answers. HOS: Order of Operations p. 106 *Stations: Simplifying numerical expressions by solving one step per line. Video :Math antics Order of operation MM p. 151-158 AIRR level 6 matching activity 97 Learn zillion-order of operations (990) (1,850 - 462 - 462 × 2) ÷ 2 What was the number of minutes each of Mrs. Larsen's daughters used? Promethean Planet "Order of Operations" flipchart by Tami Scruggs F. 926 min G. 1 min H. 1,156 min J. 232 min 5/2017 2 Content Area Math Course: 5th Grade Math Unit: Numbers and Operations TEKS Guiding Questions/ Specificity 5.4F cont. 5.4(E) describe the meaning of parentheses and brackets in a numeric expression; Supporting 5/2017 Simplify (solve for a value) to a value for use in the remainder of a numeric expression. Up to two levels of grouping. Assessment Q2: Angie had a bag that contained 14 oranges. She put 3 of the oranges in her brother's lunch box. She put 2 times as many oranges in the refrigerator as she put in her brother's lunch box. She used the rest of the oranges to make orange juice. Based on the expression below, how many oranges did Angie use to make orange juice? 14 - (3 + 2 • 3) F. 8 G. 5 H. 1 J. 9 Q1: An expression is given. 3x(8+2)/2 Which statement is true about the parentheses in this expression? A. the parentheses indicate that 8+2 show be solved first. B. The parentheses indicate that 8+2 should be solved last. C. The parentheses indicate that 2/2 show be solved last. D. The parentheses indicate that 3x8 should be solved first. Instructional Unit: 1st Instructional Period Days to teach: 26-27 Vocabulary Instructional Strategies expression, parentheses, grouping symbols brackets Demonstrate a problem with no parentheses and the same problem with parentheses to show the difference in the answer. 21 +3 x 12 = (21+3) x 12 = Give students expressions and have them put in parentheses or brackets to equal a given outcome. Resources/ Web links MM p. 151-158 Engaging Math Vol. I p. 142-143 Foldable Khan academyIntroduction to order of operations Math antics Order of operation 3 Content Area Math Course: 5th Grade Math Unit: Numbers and Operations TEKS Guiding Questions/ Specificity 5.3(B) multiply with fluency a three-digit number by a two-digit number using the standard algorithm; Use standard algorithm flexibly, accurately, efficiently. Assessment Q1: A company makes 625 cell phone cases each day. How many cell phone cases does the company make in 31 days? A $18.375 B $2,500 C $1,490 D $19375 Instructional Unit: 1st Instructional Period Days to teach: 26-27 Vocabulary Instructional Strategies place value factors product Review Multiplication of 2 digits by 2 digits. Resources/ Web links Exemplar Lesson MM p. 39-46 How does it change when you do 3 x 2? Engaging Math Vol. II p.26-30 Supporting Now change cost of CD to $16. *Round-robin practice. Switch papers for each step. Center Cards- Q2: Brennon has a total of 187 postage stamps. He has 48 stamps that are each 14 millimeter wide. He has 139 stamps that are each 12 millimeters wide. *Use of technology to check answers. Math antics 3by 2 Reteach 2 by 2 Khan academy –Multi digit multiplication What is the total width of these stamps? A 2,618 mm B 2,230 mm C 2,340 mm D 657 mm 5.3(C) solve with proficiency for quotients of up to a four-digit dividend by a two-digit divisor using strategies and the standard algorithm; 5/2017 Move from the concrete understanding of division to more abstract. Explore various strategies such as area Q1: Tara has a box of 908 beads for making bracelets. She wants to put 15 beads on each bracelet she makes. What is the greatest number of bracelets Tara can make with these beads? dividend divisor place value quotient remainder Do Think Aloud with strategies in division by 2 digit divisor. Use partial quotients to break down the process. Exemplar Lesson MM p. 47-54 Engaging Math Vol. II p. 32-38 4 Content Area Math Course: 5th Grade Math Unit: Numbers and Operations TEKS Guiding Questions/ Specificity Assessment Instructional Unit: 1st Instructional Period Days to teach: 26-27 Vocabulary Instructional Strategies models and partial quotients. Supporting Use standard algorithm flexibly, accurately, and efficiently. Partner Work: Explain how to do strategies. Q2; A gardener has 1,344 bricks to build a path in a garden. There will be 24 bricks in each row of the path. How many complete rows can the gardener make using 1.344 bricks? Resources/ Web links Promethean Planet "Conquering Division Dragons" flipchart QR code division. *Round-robin practice. Switch papers for each step. *Use of technology to check answers. Mega Math, The Number Games, Up Up and Array *TPT, "Long Division Worksheets (Division Tutor)" Learn Zillion 552 Math antics long division Math antics 2digit divisor 5.7(A) solve problems by calculating conversions within a measurement system, customary or metric. Conversions should be performed to solve problems. They may include fractions and decimals. Q1: You need 12cups milk to make hot chocolate. Which table would help you find the number of quarts? cups 4 12 quarts 1 ? *Use Formula Chart Supporting Q2: You need _56_ feet of fabric to make a costume. How many yards of fabric should you buy? Feet 3 56 Yard 1 ? 5/2017 customary system, metric system, capacity centi- , centimeter cup, feet, fluid ounce, gallon, gram, inch, kilo-, liter, quart meter, meter, mile, milli- , millimeter, ounce pint, pound, Scenario-you need 8 cups of juice for punchwhen you go to storewhich containers would have enough? Exemplar Lesson MM p. 191-198 Engaging Math p. 188-194 Learn Zillion Convert *Set up conversions measurement with a table cups 4 12 quarts 1 ? 5 Content Area Math Course: 5th Grade Math Unit: Numbers and Operations TEKS Guiding Questions/ Specificity 5.4(B) represent and solve multi-step problems involving the four operations with whole numbers using equations with a letter standing for the unknown quantity; Readiness Represent known and unknown with models, such as strip diagrams. Assessment Q1: A mechanic repaired 28 cars and 46 trucks last month. He spent 2 hours repairing each of these vehicles. Which equation can be used to find h, the total number of hours the mechanic spent repairing these vehicles? F h = (28 + 46) ÷ 2 G h = (28 + 46) + 2 H h = (28 +46) × 2 J h = (28 + 46) - 2 Q2: Reba is planning a dinner for 24 people. She wants to make 3 tacos for each person. Taco shells are sold in packages of 12. Find p, the number of packages of taco shells needed for the dinner. A. P = 6 because (24 X 3) ÷ 12 B. P = 96 because (24 ÷ 3)x 12 C. P=864 because (24 X 3)x12 D. P = 20 because (24 ÷ 3) +12 5/2017 Instructional Unit: 1st Instructional Period Days to teach: 26-27 Vocabulary Instructional Strategies algebraic expression equation variable Do Sticky Note Mathgroup problem solving. Resources/ Web links MM p. 127-134 Engaging Math p. 120-128 *Guided Practice – Matching terminology with expressions (example: 5 times a number is 5n) *Station Activity: Sort operations to vocabulary (example: less than is subtraction) AIRR level 5 activity 117 and 120 AIRR level 6 activity 140 and 142 *IXLMath app5th grade Algebra "Solve Equation" practice *UPSC: justifying the solution. 6 Content Area Math Course: 5th Grade Math Unit: Numbers and Operations TEKS Guiding Questions/ Specificity Assessment Instructional Unit: 1st Instructional Period Days to teach: 26-27 Vocabulary Instructional Strategies Resources/ Web links Suggested Differentiation Enrichment Have student create their own acronym for order of operation 24 game (whole numbers with all operations) Choice Boards (order of operation) 5/2017 Scaffolding Visual aids (anchor chart) Build to complexity -Order of Operation-start with 2 operations and them build to parenthesis and more operations -Multiply Whole number-build from 4th grade 2 by 2s -Dividing Whole number- build from 4th grade 1 divisor I Do, We Do, You Do 7
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