FSA Middle School Mathematics Assessments Sarah Devereaux, Mathematics Specialist Florida Council of Teachers of Mathematics Conference Orlando, FL October 2016 www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Session Overview • Role of the Test Development Center • FSA Summaries • Calculator Updates • Lessons Learned • By Standard • By Item Type • FSA Assessments • Development Process • Online Resources • Item Specifications • Assessment Schedule www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. The Test Development Center (TDC) • TDC is funded through a grant by the Florida Department of Education (FDOE). The grant is managed by Tallahassee Community College. • TDC’s purpose is to assist FDOE in the implementation of various aspects of the statewide assessment program. • TDC works with contractors and Florida educators to develop test items for English Language Arts, Mathematics, Science, and Social Studies assessments. • TDC also works with contractors and FDOE to produce and distribute interpretive products related to statewide assessments. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Florida Standards Assessments: Summaries www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. FSA Mathematics Item Development Process Item Development Bias and Sensitivity Reviews Content Review Field Test Rubric Validation Data Review www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Grades 6-8 Mathematics • The test for Grades 6-8 have 3 sections with 62 to 66 questions. • All sections for Grade 6 are no calculator • For Grades 7 & 8: • Section 1 is no calculator • Section 2 & 3 is calculator • Hard copies of reference sheets may be provided for students. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Calculator Policy • Online calculator may be accessed in the FSA Portal for use in the classroom. • http://fsassessments.org/resources/ • List of approved handheld scientific calculators, as well as a list of prohibited functionalities for calculators on the FSA Portal. • Calculators that allow these prohibited functionalities may not be used. • There has been no update to the calculator policy since last year • Handheld calculators may be requested by students taking the CBT in Grades 7 & 8 only and in sections 2 & 3 only. • Handheld calculators must be given to students taking the PBT in Grades 7 & 8 only and in sections 2 & 3 only. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Approved Calculators for 2016-2017 SY • Texas Instruments TI-30Xa • Casio fx-260 solar • Casio fx-82 solar • Sharp EL-510R • Sharp EL-510RN www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Updated Calculator Policy Schools may use calculators not on this list if district Mathematics specialists determine they meet the specifications. FDOE will not review or approve additional models not listed. Calculators are only allowed for the calculator session(s) of FSA assessments for Grades 7–8, Algebra 1, Geometry, and Algebra 2. Students are not allowed to share calculators. Not every test item in the calculator section will require the use of a calculator. See the calculator and reference sheet policy on the portal. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Calculator Designations • Yes – a calculator will be available for items written to a standard. • No – a calculator will not be available for items written to a standard. • Neutral – a calculator will not assist the student in showing understanding of the standard being assessed www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Lessons Learned 2015 By Standard www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Grade 6 www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. MAFS.6.RP and MAFS.6.NS • Over all, students are performing well in these 2 domains. • Continue providing opportunities for students to work with problems in context. • Students struggle with problems that are more abstract. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. MAFS.6.NS.1.1 • Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions. • Students show understanding in computing quotients of fractions. • Students show a lack of understanding when presented in context. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. MAFS.6.EE.1.1 and 6.EE.1.2 • Students are showing knowledge of writing and evaluating numerical expressions. • Students are showing knowledge of writing expressions from words and evaluating them. • Students are struggling with identifying parts of an expression using mathematical terms. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. MAFS.6.EE.1.3 and 6.EE.1.4 • Students are struggling with: • applying the properties of operations to generate equivalent expressions • identifying when two expressions are equivalent. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. 2x + 4 + (x + 2) (x + x + x) + (2 + 2 + 2) 3x + 6 www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. 3(x + 2) MAFS.6.SP.1.2 and 6.SP.1.3 • Students are struggling with: • Describing a set of data using center, spread, and overall shape. • Recognizing what a measure of center is vs a measure of variation. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Grade 7 www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. MAFS.7.RP.1.1, 7.RP.1.2a, and 7.RP.1.2b • Students are showing an understanding of: • computing unit rates associated with ratios of fractions • Deciding whether two quantities are in a proportional relationship. • Identifying the constant of proportionality • Students are struggling when: • using mixed fractions to find unit rates. • the values are not presented in the order of the expected unit rate. 1. How many minutes does it take Angel to run one kilometer? What about Jayden? 2. How far does Angel run in one minute? What about Jayden? www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. MAFS.7.RP.1.2c and 7.RP.1.3 • Students are struggling with: • Representing Proportional relationships by equations • Using proportional relationships to solve multistep ratio and percent problems. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. MAFS.7.NS.1.2c and 7.NS.1.3 • Students are struggling with: • Applying properties of operations to multiply and divide rational numbers. • Especially with decimals • Using negatives • Solving real-world problems involving the four operations with rational numbers • Order of operations that has division in fraction form • Increasing and decreasing (change in temp., bank account, gaining and losing points in a game) www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. MAFS.7.EE.1.1 and 7.EE.1.2 • Students are struggling with: • Applying properties of operations to add, subtract, factor, and expand linear expressions • Especially if there is a fractional coefficient • Or with ( ) and distribution is needed • Understanding that rewriting an expression in different forms in a problem context can shed light on the problem 14 – 2x represents the number of tickets Malia has left after she has gone on x rides. What does the 14, -2, and 2x represent? 2(7 – x) also represents the number of tickets Malia has left after she has gone on x rides. How can 2, 7, and x be interpreted? www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. MAFS.7.G.1.2 and 7.G.1.3 • Students are struggling with: • Drawing geometric shapes with given conditions • Describing the two-dimensional figures that result from slicing threedimensional figures MAFS.7.G.2.4 and 7.G.2.5 • Students are struggling with: • Using area and circumference of a circle to solve problems • Especially with composite figures or figures within another figure • Using facts about angles to write and solve equations www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. MAFS.7.SP.2.3 and 7.SP.2.4 • Students are struggling with: • Informally assessing the degree of visual overlap • Using measures of center and measures of variability www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. MAFS.7.SP.3.8 • Students are struggling with: • Finding probabilities of compound events using organized lists, tables, tree diagrams, and simulation www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. MAFS.7.SP.3.8 • Students are struggling with: • Finding probabilities of compound events using organized lists, tables, tree diagrams, and simulation www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Grade 8 www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. MAFS.8.NS.1.1 and 8.NS.1.2 • Students are struggling with: • Identifying rational numbers • Converting repeating decimals into a rational number • Estimating values of expressions with irrational approximations www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. MAFS.8.NS.1.1 and 8.NS.1.2 • Students are struggling with: • Identifying rational numbers • Converting repeating decimals into a rational number • Estimating values of expressions with irrational approximations www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. MAFS.8.EE.1.2, 8.EE.1.3, and 8.EE.1.4 • Students are struggling with: • Knowing there are two answers to x^2 = p • Evaluating square roots and cube roots of small perfect squares and cubes • Expressing how many times larger or smaller quantities are when given in scientific notation • Performing operations with numbers expressed in scientific notation www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. MAFS.8.EE.3.7 and 8.EE.3.8 • Students are struggling with: • Giving examples of linear equations with one solution, no solution, or infinitely many solutions. • Solving systems of two linear equations algebraically www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. MAFS.8.F.1.1, 1.2, and 1.3 • Students are struggling with: • • • • Identifying a function vs a non-function when given tables Using graphs to make a function or not a function Comparing and contrasting two functions represented in different ways Identifying or creating a linear function given a table www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. MAFS.8.F.1.1, 1.2, and 1.3 • Students are showing weakness with: • • • • Identifying a function vs a non-function when given tables Using two graphs make one a function and one not a function Comparing and contrasting two functions represented in different ways Identifying or creating a linear function given a table www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. MAFS.8.F.2.4 and 8.F.2.5 • Students are showing some improvements in: • constructing a function to model a linear relationship • Do better with proportional relationships • Struggle with interpreting rate of change and initial values in context • Describing qualitatively the functional relationship between two quantities www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. MAFS.8.F.2.4 and 8.F.2.5 www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. MAFS.8.G.1.5 • Students are struggling with: • Using angle relationships to create expressions MAFS.8.G.2.7 and 8.G.2.8 • Students are struggling with: • Applying the Pythagorean Theorem to find unknown side lengths • Applying the Pythagorean Theorem to find distances between two points MAFS.8.G.3.9 • Students are struggling with: • Finding volume of figures by knowing the volume formulas www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. MAFS.8.SP.1.3 and 8.SP.1.4 • Students are struggling with: • Using information from a scatter plot and line of best fit to answer questions • Identifying associations in a two-way table www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. FSA Item Types www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Item Types for FSA Mathematics and EOC Assessments • Multiple Choice • Multiselect • Equation • Matching • Table Response • Open Response • Hot Text • Editing Task Choice • GRID with Action Buttons www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. FSA Format • Paper-based accommodated exams may consist of multiple choice, multiselect, matching items, and gridded-response questions. • Computer based exams will consist of multiple choice, multiselect, and technology enhanced questions (using online tools and manipulatives). www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Multiple-Choice Items • Multiple-choice items require the student to select a single answer option. Multiple choice items consist of: • a context (mathematical or real-world); • a question; • a single correct answer; and • three plausible distractors. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Multiselect Items • Multiselect items allow the student to select more than one answer option. • Some items may ask the student to select a specific number of responses, while other items may ask the student to select all correct responses. • Are worth one-point only, no partial credit is given. • The student must select all correct answers to receive credit. • There are multi-selects with 5 options or with 6 options www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Multiselect Item www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. GRID Item with Action Buttons • GRID items • require the student to select numbers, words, phrases, or images and use the drag-and-drop feature to place them into a graphic. Items may also require the student to use the point, line, and/or arrow buttons to create a response. • GRID items consist of: • a context (mathematical or real-world); • a question; and • a response area. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. GRID Item with Action Buttons Click the arrow button if you do not want to add an www.FLDOE.org extra point or line by accident. © 2014, Florida Department of Education. All Rights Reserved. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Equation Items • Equivalent fractions and decimals will be accepted except in items that are assessing a standard where a certain form is the expectation of the standard. • A zero in the ones place for answers that fall between -1 and 1 (excluding 0 itself) is not required. • Students can type in an answer using a mixed number or a fraction greater than one. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Equation Items • Equivalent algebraic expressions may be accepted unless the standard is assessing a certain form. • If a student is asked to write an equation, equivalent equations may be accepted unless the standard is assessing a certain form. • There are equation items with a limited numerical keypad, which is looking for a numerical answer. • There are equation items with an extend keypad. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Equation Items www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Equation Items www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Open-Response Items • Open-response items require the student to use the keyboard to enter a response into a text field. • Different types of open-response items may appear on the test. • Open-response items consist of: • a context (mathematical or real-world); • a question; and • a response area. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Open Response • Simple is better • Answers can only be in words, no mathematical symbols www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Matching Items • Matching items require the student to check a box to indicate if information from a column header matches information from a row. • Matching items consist of: • a context (mathematical or real-world); • a question; and • a response area. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Table Items • Table items require the student to type numeric values into a given table. The student may complete the entire table or portions of the table depending on the question that is being asked. • Table items consist of: • a context (mathematical or real-world); • a question; and • a response area. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Hot Text Items • Hot text items require the student to either click on a response option or drag a response option to another location. • Hot text items consist of: • a context (mathematical or real-world); • a question; and • a response area. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Hot Text Items www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Editing Task Choice Items • Editing task choice items require the student to click on a highlighted word or phrase and select the replacement word or phrase from a menu. • Editing task choice items consist of: • a context (mathematical or real-world); • a question; and • a response area. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Editing Task Choice Items www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Algebra 1 Item www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Florida Standards Assessments Portal Resources www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. FSA Resources Tab: - online scientific calculator - Equation Editor Tutorial - Reference Sheets Training and Practice Tests - link for the online practice tests - Students can do any grade level for the practice tests to be able to explore various item types. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Test Item Specifications • Draft Item Specifications for grades 3-8, Algebra 1, Algebra 2, and Geometry are posted on the FSA portal at http://fsassessments.org under the About the FSAs section. • All specifications were last revised in May 2016 based on public comments and feedback from educators. www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Contact Information www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Mathematics Contact Information • TBD, Mathematics Coordinator • Travis Barton, Content Specialist, Grades 3-5 • [email protected] • (850) 922–2584 Ext. 2242 • Sarah Devereaux, Content Specialist, Grades 6-8 • [email protected] • (850) 922-2584 Ext. 2249 • Terri Sebring, Content Specialist, Alg. 1, Alg. 2, & Geometry • [email protected] • (850) 922-2584 Ext. 2226 www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Other TDC Contact Information • Sally Rhodes, English Language Arts Coordinator • [email protected] • (850) 922–2584 Ext. 2230 • Stacy Skinner, Social Studies Coordinator • [email protected] • (850) 922–2584 Ext. 2238 www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Steve Ash Executive Director Test Development Center [email protected] (850) 922–2584 Ext. 2225 www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. Questions? www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved. www.FLDOE.org www.FLDOE.org © 2014, Florida Department of Education. All Rights Reserved.
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