The New SAT Jim Olsen Mary McMahon, jr-olsen@wiu.edu mtmcmahon@noctrl.edu Western Illinois University North Central College IL Sectional Meeting of the Mathematical Association of America April 1, 2017  

Title: The New SAT Abstract: The SAT test from the College Board underwent a number of significant changes recently (they were put into effect in spring 2016). In this session we will look at the new SAT Math test, its makeup, format, and structure. In Illinois, the State of Illinois is new paying for high school juniors to take the SAT test (previously, they paid for the ACT). As a result, more college applicants applying to Illinois colleges and universities are using SAT scores in their applications. In this session we will raise some of the math placement issues surrounding use of the new SAT scores and share ideas. We may have more questions than answers at this point, so input will be welcome.

Let’s look at the differences through Kahoot https://play.kahoot.it/#/k/c46f1eaf-3922-458e-9f12-13ff4c60f52b Created by: Elizabeth M. Bushek, Mathematics Department, Glenbrook South High School (We can have the audience play and discuss each question/answer as we go through them.) https://play.kahoot.it/#/k/c46f1eaf-3922-458e-9f12-13ff4c60f52b

Tests differences for the SAT and ACT: http://patch.com/illinois/winnetka/sat-act-tips-offered-ahead-first-mandatory-state-exam?utm_content=illinois&utm_campaign=blasts&utm_source=facebook.com&utm_medium=social

How do the ACT and SAT scores compare? Concordance table provided by College Board which can be found on page 7 here: https://collegereadiness.collegeboard.org/pdf/highe r-ed-brief-sat-concordance.pdf But none for Mathematics

According to ThoughtCo. https://www. thoughtco Comparing ACT scores to SAT scores, we are, comparing two different things with different types of questions and a different amount of time allowed per question. The tests are measuring different things, so a perfect score on one exam does not mean the same thing as a perfect score on the other. If, however, we look at the percentage of students who score below a certain score, we can make an attempt at comparison. For example, on the SAT Math section, 50% of students scored a 500 or lower. On the ACT Math section the 50% line falls just below a score of 19. Thus, a 19 on the ACT math section is roughly comparable to a 510 on the SAT math section. In short, the data in the table above should be taken for what it is worth. It is just a quick and crude way to see what SAT and ACT scores fall into similar percentiles.

Impact on Enrollment??? Probably not much until Fall 2019 first year students. At this point in time, we are not really seeing much impact at all on our admission process.  Part of this is because the vast majority of schools in the area ended up providing the ACT for their juniors last spring (current seniors in the applicant pool) rather than the new SAT.  As far as I can tell, Oswego school district was our only major "feeder school" district that had their juniors take SAT last spring.

More Insight Through New Scores They provide insight into how successfully prospects and applicants: Apply reading, writing, and math knowledge and skills to answer questions with science content Solve algebra problems Understand words in context https://collegereadiness.collegeboard.org/educators/higher-ed/impact-on-enrollment

Diverse and Ready for College The SAT Suite helps increase access to and readiness for college through: Fee Waivers Scholarships School-Day Testing. 4. Improved College Readiness 1. Fee Waivers – Colleges can offer application fee waivers. 2. Scholarships - Complement College Board’s work with National Merit Scholarship Corporation and added new partnerships with scholarship providers. 3. School-Day Testing - Increased the number of students who take the SAT, which increases the potential for richer, more diverse campuses. 4. Improved College Readiness - The SAT Suite of Assessments help educators monitor growth over time and support improved college readiness for all students. The PSAT 8/9 sets a readiness baseline while the PSAT 10 and PSAT/NMSQT provide opportunities to check in and pinpoint areas for intervention.

What high school math departments are doing:

Connect SAT Suite to CCSSM PSAT 8/9 Heart of Algebra Problem Solving & Data Analysis *Additional Topics in Mathematics

Connect SAT Suite to CCSSM PSAT 10-PSAT/NMSQT Heart of Algebra Problem Solving & Data Analysis Passport to Advanced Mathematics *Additional Topics in Mathematics

Connect SAT Suite to CCSSM Heart of Algebra Problem Solving & Data Analysis Passport to Advanced Mathematics Additional Topics in Mathematics

Instructional Priorities Which units of study for Algebra 1, Geometry and Algebra 2 courses should receive the most focus?

Content Comparison VS

Instructional Priorities PSAT Priorities Heart of Algebra Context Problems Problem Solving and Data Analysis Equivalence is a key concept Passport to Advanced Mathematics Two-Way Frequency Tables Algebra 2 Concepts (Statistics, Linear, Polynomials, & Non-linear system) Additional Topics in Math Geometry (Trig Ratios & Circles) Algebra 2 (Complex Numbers)

SAT Question Design & Development Progression Procedural to Conceptual Multiple Answer (Give a possible answer.) Equivalence Technology Enhanced

Instructional Priorities ACT Math Topics: Pre-Algebra (20-25%) Basic operations using whole numbers, decimals, fractions, and integers Place value Square roots and approximations The concept of exponents Scientific notation Factors Ratio, proportion, and percent Linear equations in one variable Absolute value and ordering numbers by value Elementary counting techniques and simple probability Data collection, representation, and interpretation Understanding simple descriptive statistics

SAT Focus Areas: Basic operations using whole numbers, decimals, fractions, and integers Place value Square roots and approximations The concept of exponents Scientific notation Factors Ratio, proportion, and percent Linear equations in one variable Absolute value and ordering numbers by value Elementary counting techniques and simple probability Data collection, representation, and interpretation Understanding simple descriptive statistics

Instructional Priorities ACT Math Topics: Elementary Algebra (15-20%) Properties of exponents and square roots Evaluation of algebraic expressions through substitution Using variables to express functional relationships Understanding algebraic operations The solution of quadratic equations by factoring

SAT Focus Areas: Properties of exponents and square roots Evaluation of algebraic expressions through substitution Using variables to express functional relationships Understanding algebraic operations The solution of quadratic equations by factoring

Instructional Priorities ACT Math Topics: Intermediate Algebra (15-20%) The quadratic formula Rational and radical expressions Absolute value equations and inequalities Sequences and patterns Systems of equations Quadratic inequalities Functions and modeling Matrices Roots of polynomials Complex numbers

SAT Focus Areas: The quadratic formula Rational and radical expressions Absolute value equations and inequalities Sequences and patterns Systems of equations Quadratic inequalities Functions and modeling Matrices Roots of polynomials Complex numbers

Instructional Priorities ACT Math Topics: Coordinate Geometry (15-20%) Graphing and the relations between equations and graphs, including points, lines, polynomials, circles, and other curves Graphing inequalities Slope Parallel and perpendicular lines Distance Midpoints Conics

SAT Focus Areas: Graphing and the relations between equations and graphs, including points, lines, polynomials, circles, and other curves Graphing inequalities Slope Parallel and perpendicular lines Distance Midpoints Conics

Instructional Priorities ACT Math Topics: Plane Geometry (20-25%) Properties and relations of plane figures, including angles and relations among perpendicular and parallel lines Properties of circles, triangles, rectangles, parallelograms, and trapezoids Transformations The concept of proof and proof techniques Volume Applications of geometry to three dimensions

SAT Focus Areas: Properties and relations of plane figures, including angles and relationships among perpendicular and parallel lines Properties of circles, triangles, rectangles, parallelograms, and trapezoids *Transformations *The concept of proof and proof techniques Volume Applications of geometry to three dimensions

Instructional Priorities ACT Math Topics: Trigonometry (5-10%) Trigonometric relations in right triangles Values and properties of trigonometric functions Graphing trigonometric functions Modeling using trigonometric functions Use of trigonometric identities Solving trigonometric equations

SAT Focus Areas: Trigonometric relations in right triangles Values and properties of trigonometric functions Graphing trigonometric functions Modeling using trigonometric functions Use of trigonometric identities Solving trigonometric equations

Instructional Priorities SAT Priorities. Problem Solving and Data Analysis Equivalence is a key concept Heart of Algebra Context Problems Passport to Advanced Mathematics Two-Way Frequency Tables Algebra 2 Concepts (Statistics, Linear, Polynomials, & Non-linear system) Additional Topics in Math Geometry (Trig Ratios, Circles, Transformations) Algebra 2 (Complex Numbers)

Instructional Priorities CCSSM not part of SAT Suite No inverse or logarithmic functions No logarithmic equations No matrices

New SAT Grid In:

New SAT Grid In:

What does this number mean? 1:22.76

ACT 60 questions in 60 min 60 sec/question

58 questions in 80 min 83 sec/question New SAT 58 questions in 80 min 83 sec/question

Test Order English Language Usage Reading Math English Language Usage Science *Essay Writing *Essay Writing

Heart of Algebra (Algebra 1) 36% New SAT Heart of Algebra (Algebra 1) 36% -Solve Linear Equations/Inequalities -Equivalent Linear Equations/Inequalities -Graph Linear Equations/Inequalities -Systems of Linear Equations/Inequalities

New SAT Problem Solving and Data Analysis 27% -Ratio/Rate/Proportion/Unit Conversion -Percent -Probability/Combinations -Graph/Data Interpretation

New SAT Passport to Advanced Mathematics (Algebra 2) 27% -Solve Non-Linear Equations/Inequalities -Equivalent Non-Linear Equations/Inequalities -Graph Non-Linear Equations/Inequalities -Systems of Non-Linear Equations/Inequalities -Exponents/Radicals -Function Notation

New SAT Additional Topics 10% -Basic Geometry (Area, Volume, Perimeter) -Triangles -Lines and Angles -Miscellaneous Equations -Right Triangle Trigonometry -Complex and Imaginary Numbers

Question Comparison VS

ACT

New SAT

ACT

New SAT

ACT

New SAT

New SAT

New SAT

New SAT

ACT

ACT

New SAT

ACT

New SAT

New SAT

Technology Integration

https://collegereadiness.collegeboard.org/s at/practice New Resources Personalized practice for SAT Suite of Assessments https://www.khanacademy.org/sat https://collegereadiness.collegeboard.org/s at/practice

Technology Integration - Kahn Full length tests are the same as those on the SAT website Full length tests “must” be completed in order. Test 2 is locked until you complete test 1 Currently there is no teacher/coach option available for SAT practice. Sample Student Score Report Form Note: You will need to make a copy of the spreadsheet, then under the form menu of your copy, edit form.

Reference

Reference

Reference

Instructional Priorities What will the high schools teach less of? What will they teach more of? What concerns do we have about changing priorities in curriculum?

Question Design & Development

Question Design & Development Mastery Questions focus on small facts or skills. We can ask students to:

Question Design & Development Understanding Questions target the understanding of Big Ideas, concepts, rules, generalizations. We can ask students to:

Math Process Standards PS.1: Make sense of problems and persevere in solving them. PS.2: Reason abstractly and quantitatively. PS.3: Construct viable arguments and critique the reasoning of others. PS.4: Model with mathematics. PS.5: Use appropriate tools strategically. PS.6: Attend to precision. PS.7: Look for and make use of structure. PS.8: Look for and express regularity in repeated reasoning.

Resources Bushek, Elizabeth M., Mathematics Department, Glenbrook South High School https://play.kahoot.it/#/k/c46f1eaf-3922-458e-9f12-13ff4c60f52b  Miller, Scott. “SAT Suite of Assessments: Math Answers DO Matter!” , August 4, 2016 http://www.nationalteachfoundation.org/?page_id=13401  Miller, Scott and Jeremy Babel “New SAT”, Mathematics Department Heads of Western Suburbs, October 24, 2016

Websites (by Jim Olsen) Homepage: http://faculty.wiu.edu/JR-Olsen/wiu/ On the homepage there are links to: New SAT Test SAT / ACT / TAP Preparation Page

Thank You!