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How changes in the mathematics CSOs will affect classroom instruction, assessment for learning and summative assessment Lou Maynus, Math Coordinator WVDE
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Old MA.8.2.3use ratio and proportion to create and solve equations New M.O.8.2.2identify proportional relationships in real-world situations, then find and select an appropriate method to determine the solution; justify the reasonableness of the solution
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Old MA.3.16 solve grade level appropriate story problems using multiple strategies New M.O.3.1.14create grade- appropriate real- world problems involving any of the four operations using multiple strategies, explain the reasoning used, and justify the procedures selected when presenting solutions
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MA.8.1.6 solve application problems with whole numbers, decimals, fractions, percents and integers including, but not limited to, rates, tips, discounts, sales tax and interest.
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Ms. Thierry and 3 friends ate dinner at a restaurant. The bill was $67. In addition, they left a $13 tip. Approximately what percent of the total bill did they leave as a tip? A) 10% B) 13% C) 15% D) 20% E) 25%
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Ms. Thierry and 3 friends ate dinner at a restaurant. The bill was $67. In addition, they left a $13 tip. Approximately what percent of the total bill did they leave as a tip? A) 10% B) 13% C) 15% D) 20% E) 25% 2005 National Performance Results Score Percentage of Students Correct 30% Incorrect 68% Omitted 2% Mathematical Content Area: Number properties and operations (Sub content classification: ) Mathematical Complexity: Low Complexity (DOK Level 1)
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M.O.8.1.3 – Students will analyze and solve grade-appropriate real-world problems with Whole numbers, Decimals, Fractions, Percents, percent increase and decrease, Integers, and Including, but not limited to, rates, tips, discounts, sales tax and interest and verify solutions using estimation techniques. (DOK Level 3)
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Emily has saved $200 toward the purchase of a laptop computer. The website she is using to buy the computer currently has two special offers on the laptop. Offer 1 has the computer for $489 plus tax with free shipping. Offer 2 has the computer for $489 with a 10% discount plus a $20 instant rebate and $50 shipping cost, plus tax. Taxes are calculated on the cost of the computer and shipping. If the tax rate is 6%, which statement is true? A. Offer 1 is less than offer 2 by approximately $50 B. Offer 1 is greater than offer 2 by approximately $50 C. Offer 1 is greater than offer 2 by approximately $20 D. Offer 1 is less than offer 2 by approximately $20
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Emily has saved $200 toward the purchase of a laptop computer. The website she is using to buy the computer currently has two special offers on the laptop. Offer 1 has the computer for $489 plus tax with free shipping. Offer 2 has the computer for $489 with a 10% discount plus a $20 instant rebate and $50 shipping cost, plus tax. Taxes are calculated on the cost of the computer and shipping. If the tax rate is 6%, which statement is true? A. Offer 1 is less than offer 2 by approximately $50 B. Offer 1 is greater than offer 2 by approximately $50 C. Offer 1 is greater than offer 2 by approximately $20 D. Offer 1 is less than offer 2 by approximately $20 (DOK Level 3)
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Your parents have given you $200.00 to purchase school clothes using their Sears Visa Card – with one requirement – you must prove you are a thrifty shopper. If you buy items from Sears online with the card you get 15% off your total purchase (but shipping is a flat rate of $20.00). Use local advertisements and the Sears online site to find the best deals on the items you wish to purchase. Make comparisons of ways to purchase your items to convince your parents using an Excel spreadsheet that you are being very thrifty with your money.
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Ensure mathematics classroom instruction and assessments for learning match DOK of the CSO – to further ensure preparation for WESTEST 2?
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Unpack the Math CSOs (finding the Big Ideas, Essential Questions and KUDs) Create Mathematics Power Standards Identify Mathematics Learning Targets Use the Teach21 site for quality mathematics performance assessments.
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A Mathematics Example Math Decimals Page 152 in the book Going on a decimal hunt Read decimals and put them in order Subject Topic Assignment Activity Learning Target
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Standard/Benchmark: M.O.8.1.3 analyze and solve grade-appropriate real-world problems with whole numbers, decimals, fractions, percents, percent increase and decrease, integers, and including, but not limited to, rates, tips, discounts, sales tax and interest and verify solutions using estimation techniques. Type: KnowledgeReasoningSkillProduct Learning Targets: What are the knowledge, reasoning, skill, or product targets underpinning the standard? Knowledge Targets Skill Targets Reasoning Targets Product Targets EIGHTH GRADE
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http://wvde.state.wv.us/teach21 Mathematics Instructional Guides K-12 Units 7 th grade, Geometry & Algebra I Coming Soon…College Transition Mathematics Units 6 th and 8 th grade PBL units K-5 Elementary Model Math Videos and Lessons
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Quantile Framework for Mathematics www.quantiles.com Uses a common, developmental scale to measure student mathematical achievement, the difficulty of mathematical skills and concepts, and the materials for teaching mathematics. Predict readiness Match students to appropriate materials at their level Forecast student performance on the end of year test.
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Quantile measures have confirmed what educators have known for some time now: the range of mathematics ability is large within each classroom. In order for teachers to provide effective instruction for diverse classroom populations, instruction must be assessment driven and differentiated.
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Subtract 2- and 3-digit numbers with regrouping.
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Knowledge Clusters QT 208: Solve one-step linear equations and inequalities and graph the solutions of the inequalities on a number line. QT 97 QT 132 QT 605 QT 604 QT 548 QT 623 QT 218 QT 180 QT 655 QT 644 QT 622 QT 275 QT 263 QT 210 QT 308
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