MetaMetrics Webinar: Happy Pi Day! Learn about a more effective Quantile Framework

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© 2014 MetaMetrics, Inc. All rights reserved. Happy Pi Day! Learn about a more effective Quantile Framework March 14, 2014 Anne Schiano, Senior Vice President, Government Relations Lisa Bickel, Director C&D Quantile Services Dave Lines, Director of Product Management

© 2014 MetaMetrics, Inc. All rights reserved. Special Guest Speaker! MetaMetrics welcomes David Driscoll, Chair of the National Assessment Governing Board Dr. Driscoll served as the commissioner of education in Massachusetts from 1998 to 2007 and is a former secondary school mathematics teacher with a 49-year career in public education and educational leadership. Dr. Driscoll is a former president of the Council of Chief State School Officers and currently serves on a number of boards, including Teach Plus and the U.S. Education Delivery Institute, and chairs the Thomas B. Fordham Institute Board and the National Assessment Governing Board.

© 2014 MetaMetrics, Inc. All rights reserved. Today’s Agenda • Brief Overview of The Quantile® Framework for Mathematics • New Measures for Emerging Mathematician (EM) • Revision of The Quantile Framework for College and Career Readiness • The New Quantile Map • Summer Math Challenge 2014 • Free Pie Giveaway

© 2014 MetaMetrics, Inc. All rights reserved. Logistics •If you experience any technical difficulties, please refer to your confirmation email or call 919-616- 3291 . •Submit your questions to the Q&A Moderator, which can be selected from the drop-down menu in the Q&A panel. •When submitting your question, please include your full name and organization.

© 2014 MetaMetrics, Inc. All rights reserved. Lexile and Quantile Similarities •Developmental Scales •Measure student and resource (book/math concept or skill) on the same scale •Instructional implications

© 2014 MetaMetrics, Inc. All rights reserved. …is like a “yardstick” …it’s the way to measure the development of: The Quantile Framework… • Students’ mathematical knowledge and • Difficulty of math skills and topics

© 2014 MetaMetrics, Inc. All rights reserved. College/Career Ready Problem #1 Solve the three problems below. Which of the following problems can be solved by finding ? a. Leo used half of a bag of flour to make pies for Pi Day. If he used 3 cups of flour, how many cups were in the bag to start? b. Shauna buys a three-foot-long sandwich for a Pi Day party. She then cuts the sandwich into pieces, with each piece being foot long. How many pieces does she get? c. Phil makes 3 quarts of soup for dinner on Pi Day. His family eats half of the soup for dinner. How many quarts of soup does Phil's family eat for dinner? Adapted from Illustrative Mathematics, Dividing by One Half This problem is a resource for QSC “Divide two fractions or a fraction and a whole number in number or word problems.” Quantile measure: 870Q

© 2014 MetaMetrics, Inc. All rights reserved. Benefits of The Quantile Framework • LINK:Student ability to skill difficulty (using a common measure) • FORECAST:student success rate (after introductory lessons) • DIFFERENTIATE:math instruction for struggling mathematicians and offer enrichment opportunities for more proficient students • TRACKgrowth over time

© 2014 MetaMetrics, Inc. All rights reserved. • A Quantile measure is on the Quantile scale. • Quantile Measures are applied to both students and math skills and concepts. • Students: When applied to students, the Quantile Measure indicates the student’s readiness for instruction. What is a Quantile Measure?

© 2014 MetaMetrics, Inc. All rights reserved. What is a Quantile Measure? Skills and Concepts: When applied to mathematical skills and concepts, Quantile Measures indicate the task difficulty associated with a skill or concept relative to other mathematical skills and concepts. For example, the skill of rounding whole numbers to a given place value has a Quantile Measure of 410Q.

© 2014 MetaMetrics, Inc. All rights reserved. Math Programs and Norm-Referenced Assessments Linked ReadiStep Riverside Iowa Assessments Terra Nova (CAT/6 and CTBS/5) CTP 4 Vmath, TransMath, Inside Algebra

© 2014 MetaMetrics, Inc. All rights reserved. New EM Measures Reported • Measures below 0Q are reported as “EM” • EM is “Emerging Mathematician” • Previously reported as EM, now reported as EM with a number such as EM 260Q • “Model the concept of addition for sums to 10” has a measure of EM 260Q. • The “EM” replaces the negative sign in the measure.

© 2014 MetaMetrics, Inc. All rights reserved. College/Career Ready Problem #2 Adapted from Illustrative Mathematics, Triangular Tables This problem is a resource for QSC “Given a list of ordered pairs in a table or graph, identify either verbally or algebraically the rule used to generate and record the results.” Quantile measure: 800Q A classroom has triangular tables. There is enough space at each side of a table to seat one child and a piece of pie for Pi Day. a. How many children can sit around 1 table? Around a row of two tables? Around a row of three tables? b. Find an algebraic expression that describes the number of children that can sit around a row of tables. Explain in words how you found your expression. c. If you could make a row of 125 tables, how many children would be able to sit around it?

© 2014 MetaMetrics, Inc. All rights reserved. What is a Quantile Skill and Concept (QSC)? • Formerly Known as a QTaxon! • Within the Quantile Framework, QSC is the formal term for Quantile Skill and Concept. • A specific mathematical skill or concept, e.g., “Use models to investigate the concept of the Pythagorean Theorem” is a specific skill or concept, or QSC.

© 2014 MetaMetrics, Inc. All rights reserved. Structure of a Knowledge Cluster Solve one-step linear equations and inequalities and graph solutions of the inequalities on a number line in number and word problems. Prerequisite QSCs Impending QSCs

© 2014 MetaMetrics, Inc. All rights reserved. An Essential Feature of the Quantile Framework: the Knowledge Cluster! A Knowledge Cluster has 4 parts: 1.Focus skill 2.Prerequisite skills to ensure prior knowledge 3. Supplemental skills to add depth across content strands 4. Impending skills to point to what students will encounter next

© 2014 MetaMetrics, Inc. All rights reserved. The Quantile Framework: College and Career Ready! • Text changes to reflect Common Core and other state standards • No change to the Quantile measure. • Examples: Add 3 single-digit numbers in number and word problems. (EM210Q) Represent fractions concretely and symbolically, including representing whole numbers as fractions. (190Q) Compare and order fractions using common numerators or denominators. (330Q)

© 2014 MetaMetrics, Inc. All rights reserved. The Quantile Framework: College and Career Ready! 81 new skills and concepts added • New measures needed • Examples: Write addition and subtraction sentences that represent a two-step word problem; solve. Use addition and subtraction to find unknown measures of non-overlapping angles. Find the coordinates of a point on a segment between given endpoints that partitions the segment by a given ratio.

© 2014 MetaMetrics, Inc. All rights reserved. Building a Knowledge Cluster Quantile Measure Text 620Q Translate between models or verbal phrases and numerical expressions. Impending QSCs 580Q Solve multi-step number and word problems using the four operations. 430Q Describe the meaning of an unknown in the context of a word problem. Focus QSC ? Write number sentences using any combination of the four operations that represent a two-step word problem; solve. Prerequisite QSCs 360Q Write and addition and subtraction sentences that represent a two-step word problem; solve. 390Q Write multiplication and division sentences to represent a number or word problem; solve. 350Q Know and use division facts related to multiplication facts through 144. 180Q Use multiplication facts through 144. 300Q Multiply a 1-digit number by a 2-digit multiple of 10. Supplemental QSCs 400Q Determine perimeter using concrete models, nonstandard units, and standard units in number and word problems. 560Q Use the distributive property to represent and simplify numerical expressions. 470Q Estimate and compute the cost of items greater than $1.00; make change. 420Q Apply appropriate type of estimation for sums and differences. 450Q Divide using single-digit divisors with and without remainders.

© 2014 MetaMetrics, Inc. All rights reserved. Building a Knowledge Cluster Focus QSC Write number sentences using any combination of the four operations that represent a two-step word problem; solve. Prerequisite QSC (360Q) Write addition and subtraction sentences that represent a two-step word problem; solve. Prerequisite QSC (390Q) Write multiplication and division sentences to represent a number or word problem; solve. Prerequisite QSC (350Q) Know and use division facts related to multiplication facts through 144. Supplemental QSC (400Q) Determine perimeter using concrete models, nonstandard units, and standard units in number and word problems. Supplemental QSC (470Q) Estimate and compute the cost of items greater than $1.00; make change. Impending QSC (620Q) Translate between models or verbal phrases and numerical expressions. Impending QSC (580Q) Solve multi-step number and word problems using the four operations. Impending QSC (430Q) Describe the meaning of an unknown in the context of a word problem.

© 2014 MetaMetrics, Inc. All rights reserved. • Quantile measures are determined using field test results. Data from the actual performance of examinees is used. • The results are reviewed by a group of three to five subject-matter experts (SMEs). • Empirical scaling is more replicable than expert judgment alone. Quantiles Measures: Empirically Derived

© 2014 MetaMetrics, Inc. All rights reserved. College/Career Ready Problem #3 1. Tasha is rolling out dough to make mini pies for Pi Day. 2. The dough is one large circle and the seven small circles inside represent the dough for the mini pies. 3. Neighboring circles only share one point, and two regions between the smaller circles have been shaded. 4. The shaded area is the “scrap” dough for one mini pie. 5. Each small circle has a radius of 5 inches. 6. Calculate: a. The area of the pie dough. b. The area of the “scrap” dough that is shaded. Adapted from Illustrative Mathematics, Eight Circles This problem is a resource for QSC “Calculate the areas of triangles, parallelograms, trapezoids, circles and composite figures in number and word problems.” Quantile measure: 1040Q

© 2014 MetaMetrics, Inc. All rights reserved. Research indicates that: • Summer math loss is more pronounced than reading loss • Students lose math ability regardless of household income level • Parents are more likely to read with their children than practice math skills • Math practice is less intuitive and more technical than reading practice • On average, all students, regardless of socio-economic status, lose approximately 2.6 months of grade level equivalency in mathematical computation over the summer months each year Source: Cooper, H., Nye, B., Charlton, K., Lindsay, J., & Greathouse, S. (1996). The effects of summer vacation on achievement test scores: A narrative and meta-analytic review. Review of Educational Research, 66(3), 227-268.

© 2014 MetaMetrics, Inc. All rights reserved. Summer Math Challenge Overview • Six week long, email-based math skills maintenance program • Parents register and enroll their children • Parents receive daily emails that focus on one math concept per week and include links to activities and resources related to that concept • Parents do activities with their children, and the focus is on reinforcing skills acquired during previous school year • Target students entering grades 3-6 in the fall • Entry level based on Quantile measure

© 2014 MetaMetrics, Inc. All rights reserved. Summer Math Challenge 2013 Participation by State Top 10 States North Carolina Virginia Oklahoma Iowa Colorado Alabama Kentucky California West Virginia Wyoming Washington Oregon California Nevada Arizona Utah Idaho Montana Wyoming Colorado New Mexico Texas Oklahoma Kansas Nebraska South Dakota North Dakota Minnesota Iowa Missouri Arkansas Louisiana Mississippi Tennessee Kentucky Illinois Wisconsin Michigan Indiana Ohio Alabama Georgia Florida South Carolina North Carolina Virginia West Virginia Pennsylvania New York Maryland Delaware New Jersey Connecticut Vermont New Hampshire Maine Massachusetts Rhode Island

© 2014 MetaMetrics, Inc. All rights reserved. Summer Math Challenge 2014 • Real Life Wednesdays • Fluency Fridays • Timeline: • Enroll now at quantiles.com/summer-math • June 23 - parents begin receiving emails • August 1 - last day

© 2014 MetaMetrics, Inc. All rights reserved. For more information about Quantile measures, visit www.Quantiles.com. For more information about MetaMetrics, visit www.MetaMetricsInc.com. MetaMetrics 1000 Park Forty Plaza Drive, Suite 120 Durham, North Carolina 27713 Phone: 919.547.3400 Toll Free: 1.888.LEXILES (539.4537) Email: [email protected]

MetaMetrics Webinar: Happy Pi Day! Learn about ...

MetaMetrics Webinar: Happy Pi Day! Learn about a more effective Quantile Framework

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