Prairie State Achievement Examination (PSAE)Mathematics : Prairie State Achievement Examination (PSAE) Mathematics www.isbe.net/assessment/psae.htm
TODAY’S AGENDA : TODAY’S AGENDA
Prairie State Achievement Examination (PSAE) Test Components: Prairie State Achievement Examination (PSAE) Test Components
Prairie State Achievement Examination (PSAE) Schedule: Prairie State Achievement Examination (PSAE) Schedule Day 1: Wednesday, April 26, 2006
ACT English - 45 minutes
ACT Mathematics - 60 minutes
[15-minute break]
ACT Reading - 35 minutes
ACT Science - 35 minutes
Prairie State Achievement Examination (PSAE) Schedule (continued): Prairie State Achievement Examination (PSAE) Schedule (continued) Day 2: Thursday, April 27, 2006
ISBE-Developed Science – 40 minutes (45 questions)
WorkKeys Applied Mathematics – 45 minutes (33 questions)
[required 15-minute break]
WorkKeys Reading for Information – 45 minutes (33 questions)
Prairie State Achievement Examination (PSAE) Makeup Testing: Prairie State Achievement Examination (PSAE) Makeup Testing Makeup testing May 10 – 11, 2006
Different (but equivalent) forms
Same schedule as initial testing
Prairie State Achievement Examination (PSAE)Day 1: ACT Assessment Mathematics: Prairie State Achievement Examination (PSAE) Day 1: ACT Assessment Mathematics ACT Assessment Mathematics
- 60 minutes
- 60 multiple-choice items
- Problem solving in six areas: pre-algebra, elementary algebra, intermediate algebra, coordinate geometry, plane geometry and trigonometry
- Certain types of calculators may be used To obtain the latest list of prohibited calculators, check the ACT Web site (http://www.act.org) or call 1-800-498-6481.
Slide8: In any parallelogram ABCD, it is always true that the measures of ABC and BCD:
F. add up to 180º.*
G. add up to 90º.
H. are each greater than 90º.
I. are each 90º.
J. are each less than 90º.
ACT Subscore: GT (Plane Geometry/Trigonometry)
Illinois Mathematics Assessment Framework: 9.11.05 ACT Assessment Mathematics Item
Prairie State Achievement Examination (PSAE)Day 2: Work Keys Applied Mathematics: Prairie State Achievement Examination (PSAE) Day 2: Work Keys Applied Mathematics Work Keys Applied Mathematics
- 45 minutes
- 33 multiple-choice items
Work-related problems
5 levels of difficulty
Certain types of calculators may be used To obtain the latest list of prohibited calculators, check the ACT Web site (http://www.act.org) or call 1-800-498-6481.
Slide10: You are doing marketing research to find out the purchasing potential of students in the community. Based on the latest census, there are 9,860 students in a population of 62,400 people. Students make up what percent of the total population?
6.3
7.3
15.8*
52.5
84.2
WorkKeys Applied Mathematics: Level 5
Illinois Mathematics Assessment Framework: 6.11.18 Work Keys Applied Mathematics Item (Level 5)
Prairie State Achievement Examination (PSAE)Illinois Mathematics Assessment Framework for PSAE Grade 11: Prairie State Achievement Examination (PSAE) Illinois Mathematics Assessment Framework for PSAE Grade 11 The Illinois Mathematics Assessment Framework for PSAE Grade 11 connects the content assessed on Day 1 and Day 2 to the Illinois Learning Standards.
www.isbe.net/assessment/IAFindex.htm
Slide12: The ACT Assessment for mathematics contains questions that require the use of reasoning skills to solve practical problems in the following six areas:
Pre-Algebra ( 23%)
Elementary Algebra ( 17%)
Intermediate Algebra ( 15%)
Coordinate Geometry ( 15%)
Plane Geometry ( 23%)
Trigonometry ( 7%)
Slide13: Questions in this content area are based on 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; and understanding simple descriptive statistics. ACT: Pre-Algebra ( 23%)
Slide14: Questions in this content area are based on properties of exponents and square roots, evaluation of algebraic expressions through substitution, using variables to express functional relationships, understanding algebraic operations, and the solution of quadratic equations by factoring.
ACT: Elementary Algebra ( 17%)
Slide15: Questions in this content area are based on an understanding of the quadratic formula, rational and radical expressions, absolute value equations and inequalities, sequences and patterns, systems of equations, quadratic inequalities, functions, modeling, matrices, roots of polynomials, and complex numbers.
ACT: Intermediate Algebra ( 15%)
Slide16: Questions in this content area are based on 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; and conics.
ACT: Coordinate Geometry ( 15%)
Slide17: Questions in this content area are based on the 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; and applications of geometry to three dimensions. ACT: Plane Geometry ( 23%)
Slide18: Questions in this content area are based on understanding trigonometric relations in right triangles; values and properties of trigonometric functions; graphing trigonometric functions; modeling using trigonometric identities; and solving trigonometric equations. ACT: Trigonometry ( 7%)
Slide19: The Work Keys Applied Mathematics Assessment contains questions that require the use of reasoning skills and problem-solving strategies to solve practical problems found in the workplace.
A formula sheet is provided
A calculator may be used
Five levels of difficulty (Levels 3-7)
Slide20: Most of the problems in the Applied Mathematics Assessment will involve one or more of the following applications:
Quantity - determining the number of items sold, produced, or purchased, or figuring totals on a per unit basis tasks involving monetary units include figuring sales, costs, wages, and expenses
Money - tasks involving monetary units include figuring sales, costs, wages, and expenses
Time - some tasks involve figuring elapsed time, converting time units
Measurement - calculating distance, area, weight, and volume; conversions
Proportions and Percentages - tasks that require making predictions, calculating commissions, discounts, taxes, price increases, changes in sales, and wage changes
Averages - records may be expressed in terms of averages (sales records, wages, costs, hours worked)
Slide21: The Work Keys Applied Mathematics Assessment Level 3: (IMAF: 6.11.17)
Individuals with Level 3 skills can set up and solve problems with single-step mathematical operations (addition, subtraction, multiplication, or division) on whole numbers, fractions, decimals, or percentages.
Example: It took you 1 hour to unpack, price, and shelve 3 boxes of jeans at work. On the average, how many minutes did it take to unpack, price, and shelve 1 box of jeans?
A. 15
B. 20 *
C. 30
D. 40
E. 60
Slide22: The Work Keys Applied Mathematics Assessment Level 4: (IMAF: 6.11.18)
Individuals with Level 4 skills can set up and solve problems with 2 or more different mathematical operations (addition, subtraction, multiplication, or division) on whole numbers, fractions, decimals, or percentages.
Example: The discount store where you work is selling a video game for 15% off the regular price of $21.00. What is the sale price of the game?
A. $ 3.15
B. $16.80
C. $17.85 *
D. $18.90
E. $24.15
Slide23: The Work Keys Applied Mathematics Assessment Level 5: (IMAF: 6.11.17)
Individuals with Level 5 skills can set up and solve problems with multiple-step calculations on a mixture of whole numbers, fractions, decimals, or percentages, when the information is presented in a logical order.
Example: You groom dogs. It takes you 1 hour 15 minutes to groom an average-sized dog. Large dogs, however, take 1 hour 45 minutes to groom. Today you have to groom 3 average-sized dogs and 2 large dogs. How much time should it take you to groom all 5 dogs?
A. 3 hours
B. 3 hours 45 minutes
C. 6 hours 15 minutes
D. 7 hours 15 minutes *
E. 7 hours 45 minutes
Slide24: The Work Keys Applied Mathematics Assessment Level 6: (IMAF: 7.11.03, 6.11.17)
Individuals with Level 6 skills can set up and solve problems containing unnecessary information or information presented out of logical order and involving multiple-step calculations on a mixture of whole numbers, fractions, decimals, or percentages.
Example: You are preparing to tile the floor of a rectangular room that is 15 ½ feet by 18 ½ feet in size. The tiles you plan to use are square, measure 12 inches on each side, and are sold in boxes that contain enough tiles to cover 25 square feet. How many boxes of tiles should you order?
A. 11
B. 12*
C. 34
D. 59
E. 287
Slide25: The Work Keys Applied Mathematics Assessment Level 7: (IMAF: 7.11.03)
Individuals with Level 7 skills can set up and solve problems requiring extensive calculations and several conversions between systems of measurement. They can calculate percent change, set up & manipulate complex ratios and proportions, find multiple areas or volumes of 2- and 3-dimensional shapes, find the best economic value of several alternatives, and locate errors in multiple-step calculations.
Example: The farm where you just started working has a vertical cylindrical oil tank that is 2.5 feet across on the inside. The depth of the oil in the tank is 2 feet. If 1 cubic foot of space holds 7.48 gallons, about how many gallons of oil are left in the tank?
A. 37
B. 59
C. 73 *
D. 230
E. 294