Grade 6 Game Plan Knowledge and Skills 6.2 and 6.3 Number and Operations 6.2 NUMBER AND OPERATIONS The student applies mathematical process standards to represent and use rational numbers in a variety of forms. The student is expected to: CBAs Bench 51 49 CBAs Bench 36 35 CBAs Bench 43 40 6.2(B) identify a number, its opposite, and its absolute value 72 79 6.2(C) locate, compare, and order integers and rational numbers using a number line 77 65 48 36 CBAs Bench 39 35 CBAs Bench 24 27 44 33 CBAs Bench 21 16 39 44 45 66 Readiness Standards 6.2(D) order a set of rational numbers arising from mathematical and real-world contexts Supporting Standards 6.2(A) classify whole numbers, integers, and rational numbers using a visual representation such as a Venn diagram to describe relationships between sets of numbers 6.2(E) extend representations for division to include fraction notation such as a/b represents the same number as a ÷ b where b ≠ 0 6.3 NUMBER AND OPERATIONS The student applies mathematical process standards to represent addition, subtraction, multiplication, and division while solving problems and justifying the solutions. The student is expected to: Readiness Standards 6.3(D) add, subtract, multiply, and divide integers fluently 6.3(E) multiply and divide positive rational numbers fluently Supporting Standards 6.3(A) recognize that dividing by a rational number and multiplying by its reciprocal result in equivalent values 6.3(B) determine, with and without computation, whether a quantity is increased or decreased when multiplied by a fraction, including values greater than or less than one 6.3(C) represent integer operations with concrete models and connect the actions with the models to standardized algorithms 1-2-3 Daily Game Plan 1 K&S Content: MATH Day 1 Day 2 Day 3 Vocabulary Link to Think Engaging Items 6.2 & 6.3 Numbers and Operations: Represent & use rational numbers, including addition, subtraction, multiplication, and division while solving problems and justifying the solutions. Who Am I? A Tour of Knowledge 2 Instructional Strategies 3 Stimuli Grade Level: 6 Rock and Roll Review Template Choose & Chat or Card Sort (Open) Verbal Description Tables, Verbal Descriptions Graphs, Diagram, Word Problems TOTAL Thinking Describe, Communicate, Evaluate, Identify, Explain, Infer Analyze, Summarize, Compare/Contrast, Create, Justify, Communicate Analyze, Evaluate, Identify, Compare/Contrast, Communicate, Justify Resources Attached Attached Attached Who Am I? for Knowledge and Skills 6.2 & 6.3 Numbers and Operations 1. 2. 3. 4. 5. Students and the teacher determine 6-10 terms that are the most difficult for the current unit. Student secretly select one term from the list and write their word on an index card or post-it. Keeping the word hidden, students place the word face down. Students MIX-FREEZE-GROUP (see strategy) to find a new partner and ask, “Who Am I?” Student partners communicate 1 or 2 clues (describe, explain, examples, etc.) at a time about the word on their index card. 6. Students synthesize all clues to make an inference about which word is being described. 7. If the friend cannot guess his word, his partner finds another friend to come help give clues. 8. Play 2-3 rounds of this game so that each student is exposed to 2-3 difficult terms. Choose & Chat for Knowledge and Skills 6.2 & 6.3 Numbers and Operations 1. Teacher presents a vocabulary word. 2. Teacher asks students to display a hand signal to reflect their understanding such as the following: Thumb up = I completely understand Thumb to the side = I kind of understand Thumb down = I need more information 3. Students evaluate their understanding, choose a signal, and the chat with a partner about the following: explain parts of the content they understand identify parts of the content they do not understand ask one clarifying question Cooperative Card Sort for Knowledge and Skills 6.2 & 6.3 Numbers and Operations 1. Give groups of students the sheet of cards to cut apart or copy. 2. Students work cooperatively in small groups or to sort the cards based on relationships that they identify. 3. Students justify why cards are grouped together. Multiple relationships can be correct. 4. Teacher clarify and verify student categories. Word list for Knowledge and Skills 6.2 & 6.3 Numbers and Operations on next page Rational numbers Greatest to least Absolute Value Increased Rates Less than Interest Greater than Negative Non-negative Non-positive Positive Addends Total cost Half Spent Left over Equal amount Integers Denominator Dividend Divisor Factors Fractions Integers Mixed numbers Numerator Product Quotient Reciprocal Whole numbers Rational numbers Per A Tour Of Knowledge for K&S 6.2 & 6.3 Numbers and Operations Materials for 5 Groups Large paper for recording (10 total -5 for observations, 5 for writing questions) 5 different colored markers 5 stimuli 1. 2. 3. 4. 5. 6. 7. Students are organized into 5 groups Give each group a different color marker. Groups will rotate through stations observing a given stimulus. Give each group 3 minutes at each station to record anything about the stimuli as long as it isn’t written already. They write with only their marker and carry it with them to every station. Reward for most responses for each station Repeat Steps #1-5, but now record a question that could be asked for the stimuli. Students now work their problems associated with the given stimulus, identifying what information was needed to solve. Put each of these stimuli on a single sheet of large paper: Sarah is buying some candy for a party. The table below shows the amounts of each type of candy. Type of Candy Amount in pounds 2 58 Peanut Clusters Fudge 2.65 2 34 Caramels Peppermint Patties 2.8 Five girls joined the Dallas Walking Club. They walked at a fast pace for exactly 30 minutes. The distance each girl walked is recorded on the table below. Members Meli Distance in Miles 9 1 10 Sally Lucinda 1.09 1 78 Deb 1 17 20 Cherri 1.18 In a math contest, 20 problems were given to the contestants. Every correct answer was worth 5 points, and 2 points were taken away for every incorrect answer. Doug wanted to buy a new computer. The table below shows the change in price of the computer at a local department store from January to May. Month January February March April May Change in Price in $ -$38.84 +15.39 -5.18 -20.43 +10.22 The table below shows what Jenny and her mom purchased. They had $37 before paying for their order. Item 2 hamburgers 1 cheeseburger 2 chips 3 sodas Cost per Item in $ $3.75 4.50 0.99 1.75 Rock & Roll Item Review TEKS Knowledge & Skill 6.2 & 6.3 Numbers, Operations 1. Students in groups of 4 with dice and chart or attached template cut out and folded. 2. Use the chart of items for review on the next 3 pages. 3. Each person in the group should roll the die. Roll again if the number is repeated for the same item. 4. Student groups complete the activity associated with their roll, discussing and filling in the chart. Four of the 6 columns should be filled in for each item. 5. Teacher clarifies/verifies. Keep questions (charts)for Concept Connections State facts about the Select Trickiest answer (explain how you would start and the concept process of how you would answer the (this question is about _______, and that means ________________) question) Identify stimulus (models, Determine Definitely WRONG answer images, text, charts, graphs, tables, advertisement, map, quote, etc.) Get a plan (explain how you would start and the process of how you would answer the question) (explain why this is the worst answer) Justify CORRECT answer (explain why this is the correct answer) Rock & Roll Item Review TEKS Knowledge & Skill 6.2 & 6.3 Numbers, Operations 1 Facts 2 Stimulus 3 Plan 4 Definitely WRONG answer 5 Trick answer 1. Mrs. Rodríguez will make name tags for each of the 45 choir members and 30 orchestra members. The materials for each name tag cost $0.44. What is the total cost of the materials Mrs. Rodríguez will use to make these name tags? F $33.00 G $75.00 H $58.20 J $49.80 2 Which expression is represented by the model below? F G H J -4 (-5) 4 (-5) (-4) 5 45 3. Andrew plays on a basketball team. In 2 of the total 5 number of points his team scored. His team scored 55 points in the first game and 35 points in the second game. What was the number of points Andrew scored in these two games? two games he scored A 18 B 20 C 36 D 90 K & S 6.2 and 6.2 Numbers and Operations Rock and Roll Review - Day 3 pg 1 6 Correct answer, why? Rock & Roll Item Review TEKS Knowledge & Skill 6.2 & 6.3 Numbers, Operations page 2 4. One weekend Greg and Darius shoveled snow to earn spending money. Together they earned $12.50 an hour for 9 hours of work. Each received half the total earnings. If Greg then spent$15 on a new CD, what was the total amount he had left, in dollars and cents, from the money he earned shoveling snow that weekend? A B C D 5. $107.50 $56.25 $41.25 $8.75 The numbers in each set shown below have a common characteristic. Which statement best describes a common characteristic of the numbers in Set S or Set T? A Each number in Set T is less than 1 4 B Each number in Set T is less than 1 2 C Each number in Set S is less than 0.65 D Each number in Set S is less than 0.5 1 Facts 2 Stimulus 3 Plan 4 Definitely WRONG answer 5 Trick answer 6 Correct answer, why? Rock & Roll Item Review TEKS Knowledge & Skill 6.2 & 6.3 Numbers, Operations page 3 6. Mr. Stein is purchasing 2.25 pounds of meat that costs $2.80 per pound. How much change should Mr.Stein receive if he gives the cashier $20.00? F $6.30 G $13.70 7. Mr.Atkinson has 5 1 lb of dry fish food. He 4 will put an equal amount of food into 3 containers. How much fish food will be in each container? A 1 2 lb B C D 8. 9. A B H $14.95 J $2.52 3 1 3 lb 4 1 2 lb 4 8 3 lb 4 In 2011 Ralph paid $12.95 for a box of cards and $0.44 each for 16 stamps. What was the total cost, in dollars and cents, of the box of cards and the stamps? Wendy had 35 tickets for games at a carnival. She used 1 of the tickets to play the ball-toss 5 game. She then used 1 of the remaining 2 tickets to play the ring-toss game, in which she won 25 more tickets. How many tickets did Wendy have after playing these games? 7 C 14 19 D 28 1 Facts 2 Stimulus 3 Plan 4 Definitely WRONG 5 Trick answer 6 Correct answer, why? Rock & Roll Item Review TEKS Knowledge & Skill 6.2 & 6.3 Numbers, Operations 1 Facts page 3 10. Complete the following number line. A 5 B 5 C 5 1 8 1 2 1 4 11. Which numbers from this list are less 0.94? D 5 15 2 , 0.24, 2.23, 2 , 0.95 16 5 15 , 2.23, and 0.95 16 A B 2.23, 2 C D 2 , and 0.95 5 15 0.24, , and 0.95 16 15 , 0.24, and 2.23 16 than - 2 Stimulus 3 Plan 4 Definitely WRONG 5 Trick answer 6 Correct answer, why? Rock & Roll Item Review TEKS Knowledge & Skill 6.2 & 6.3 Numbers, Operations page 3 12. Zack is making macaroni and cheese. The recipe calls for a choice of the following liquids: 1 3 2 5 cup skim milk, cup water, cup whole milk, or 3 8 2 4 cup cream. Which choice will put the most liquid into the recipe? A B 2 cup skim milk 3 1 cup water 2 C D 3 cup whole milk 4 5 cup cream 8 14. Jessie drew a Venn diagram as shown. She labeled it with R for rational numbers, I for Integers, and W for whole numbers. She placed three numbers on the diagram. What is wrong with the diagram? A 1.5 is not an integer. B 1 is not a whole number C D 3 is not a rational number. 2 Integers are not a subset of rational numbers. 1 Facts 2 Stimulus 3 Plan 4 Definitely WRONG 5 Trick answer 6 Correct answer, why? Rock and Roll: Dice Template State concept and facts Identify stimulus Make a plan Trickiest answer-and why? Justify CORRECT answer Worst answerand why?
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