1 Math A Regents Exam 080 Page a, P.I. A.A.6 On a map, 1 centimeter represents 40 kilometers. How many kilometers are represented by 8 centimeters? [A] 48 [B] 30 [C] 5 [D] a, P.I. G.G.38 In the accompanying diagram of parallelogram ABCD, diagonals AC and DB intersect at E, AE = 3x 4, and EC = x a, P.I. G.G.6 Given the statement: "If two lines are cut by a transversal so that the corresponding angles are congruent, then the lines are parallel." What is true about the statement and its converse? [A] The statement and its converse are both false. [B] The statement and its converse are both true. [C] The statement is false, but its converse is true. [D] The statement is true, but its converse is false. What is the value of x? [A] 40 [B] 0 [C] 16 [D] a, P.I. G.G. What is the total number of points equidistant from two intersecting straight roads and also 300 feet from the traffic light at the center of the intersection? [A] 1 [B] [C] 4 [D] a, P.I. A.N.7 Juan has three blue shirts, two green shirts, seven red shirts, five pairs of denim pants, and two pairs of khaki pants. How many different outfits consisting of one shirt and one pair of pants are possible? [A] 84 [B] 40 [C] 130 [D] a If the area of a square garden is 48 square feet, what is the length, in feet, of one side of the garden? [A] 4 6 [B] 1 [C] 16 3 [D] a, P.I. A.A. The sum of 3 +, x 0, is x 5 [A] x x [C] x + 15 x + 5 [B] [D] 1 x 5 x a, P.I. 7.N. The number is [A] integral [B] rational [C] irrational [D] whole
2 Math A Regents Exam 080 Page a, P.I. A.A.13 When x + 4x + is subtracted from x + 6x 4, the result is [A] 3x + x 6 [B] x x 6 [C] x + 10x [D] 3x x a, P.I. G.G.56 In the accompanying diagram, which transformation changes the solid-line parabola to the dotted-line parabola? a, P.I. 7.N.5 If is written by a scientist in the form n, the value of n is [A] 3 [B] [C] - [D] a, P.I. G.G.61 If x = - and y = -1, which point on the accompanying set of axes represents the translation ( xy, ) ( x+, y 3)? [A] line reflection, only [B] rotation, only [C] translation [D] line reflection or rotation a, P.I. A.A.6 How many times larger than 1 x is 5x? 4 [A] 5 4 [B] 0 [C] 9 [D] 4 5 [A] Q [B] R [C] S [D] T a, P.I. G.G.33 If the lengths of two sides of a triangle are 4 and 10, what could be the length of the third side? [A] 16 [B] 14 [C] 6 [D] 8
3 Math A Regents Exam 080 Page a Which piece of paper can be folded into a pyramid? [A] [B] a, P.I. A.A.6 If x + 5 = -5 and -3m - 6 = 48, what is the product of x and m? [A] -70 [B] -33 [C] 3 [D] 70 [C] [D] a In the graph of y x, which quadrant is completely shaded? [A] III [B] I [C] II [D] IV a, P.I. G.G.30 What is the measure of the largest angle in the accompanying triangle? a, P.I. G.G.31 In the accompanying diagram of ΔBCD, ΔABC is an equilateral triangle and AD = AB. What is the value of x, in degrees? [A] 56 [B] 46.5 [C] 83 [D] a M is the midpoint of AB. If the coordinates of A are (-1,5) and the coordinates of M are (3,3), what are the coordinates of B? [A] (,8) [B] (-5,7) [C] (7,1) [D] (1,4). 080a, P.I. A.N.1 In the addition table for a subset of real numbers shown below, which number is the inverse of 3? Explain your answer a, P.I. A.A.3 If m + p = 16, p equals [A] 16 - m [B] 9m [C] 16 + m [D] 8 - m
4 Math A Regents Exam 080 Page a, P.I. A.A.6 An image of a building in a photograph is 6 centimeters wide and 11 centimeters tall. If the image is similar to the actual building and the actual building is 4 meters wide, how tall is the actual building, in meters? a, P.I. A.A.6 A doughnut shop charges $0.70 for each doughnut and $0.30 for a carryout box. Shirley has $5.00 to spend. At most, how many doughnuts can she buy if she also wants them in one carryout box? a, P.I. A.N.5 In bowling leagues, some players are awarded extra points called their "handicap." The "handicap" in Anthony's league is 80% of the difference between 00 and the bowler's average. Anthony's average is 145. What is Anthony's "handicap"? a, P.I. A.RP.11 In a telephone survey of 100 households, 3 households purchased Brand A cereal and 45 purchased Brand B cereal. If 10 households purchased both items, how many of the households surveyed did not purchase either Brand A or Brand B cereal? a, P.I. A.N.5 There are 8 students in a mathematics class. If 1 of the students are called to the guidance 4 office, 1 of the remaining students are called 3 to the nurse, and, finally, 1 of those left go to the library, how many students remain in the classroom? a, P.I. A.S.11 On a bookshelf, there are five different mystery books and six different biographies. How many different sets of four books can Emilio choose if two of the books must be mystery books and two of the books must be biographies? a On the accompanying grid, graph a circle whose center is at (0,0) and whose radius is 5. Determine if the point (5,-) lies on the circle a, P.I. A.A.6 Tamika could not remember her scores from five mathematics tests. She did remember that the mean (average) was exactly 80, the median was 81, and the mode was 88. If all her scores were integers with 100 the highest score possible and 0 the lowest score possible, what was the lowest score she could have received on any one test?
5 Math A Regents Exam 080 Page a, P.I. A.A.44 In the accompanying diagram, x represents the length of a ladder that is leaning against a wall of a building, and y represents the distance from the foot of the ladder to the base of the wall. The ladder makes a 60 angle with the ground and reaches a point on the wall feet above the ground. Find the number of feet in x and y a, P.I. A.A.7 Greg is in a car at the top of a roller-coaster ride. The distance, d, of the car from the ground as the car descends is determined by the equation d = t, where t is the number of seconds it takes the car to travel down to each point on the ride. How many seconds will it take Greg to reach the ground? a, P.I. A.A.8 A rectangular park is three blocks longer than it is wide. The area of the park is 40 square blocks. If w represents the width, write an equation in terms of w for the area of the park. Find the length and the width of the park a, P.I. G.G.68 Determine the distance between point A( 1, 3 ) and point B( 55,). Write an equation of the perpendicular bisector of AB. [The use of the accompanying grid is optional.] a, P.I. A.A.7 Tanisha and Rachel had lunch at the mall. Tanisha ordered three slices of pizza and two colas. Rachel ordered two slices of pizza and three colas. Tanisha's bill was $6.00, and Rachel's bill was $5.5. What was the price of one slice of pizza? What was the price of one cola?
6 Math A Regents Exam 080 Page 1  B  D  C  A  B  D  A  C  A  C  B  D  B  D  B  C  C  D  D  A   30, and appropriate work is shown or an appropriate explanation is given.  Angles of the equilateral triangle are shown to be 60, but x is not determined or is determined incorrectly. or  30, but no work is shown or no explanation is given.     1, and an appropriate explanation is given, such as when 1 is added to 3, the result is the identity element, 4; therefore 1 is the inverse of 3.  = 4, but the identity element is not identified. or  4 is identified as the inverse because the identity element and inverse element are confused. or  1, but no explanation or an incorrect explanation is given.  319, and appropriate work is shown.  A correct proportion is shown, but no solution or an incorrect solution is found. or  An incorrect proportion of equal difficulty is solved appropriately. or  Appropriate work is shown, but one or  319, but no work is shown.  6, and appropriate work is shown, such as 0.70x or trial and error with three trials and appropriate checks.  The inequality is solved correctly, but the number of doughnuts is not found. or  The trial-and-error method is used to find a correct solution, but fewer than three trials are shown. or  6, but no work is shown.
7 Math A Regents Exam 080 Page     44, and appropriate work is shown, such as 0.8(00-145).  Appropriate work is shown, but one computational or conceptual error is made. or  44, but no work is shown.  33, and appropriate work is shown, such as a Venn diagram.  Appropriate work is shown, but the number of households that purchased only Brand A and only Brand B is found, + 35 = 57. or  Appropriate work is shown, but one  A conceptual error is made, such as subtracting 87 from 100. or  33, but no work is shown.  63, and appropriate work is shown, such as ( ) and determining the highest and lowest possible scores remaining that total 143.  Appropriate work is shown, but one  A total of 400 is shown, but one conceptual error is made, such as 57 is subtracted, and then 143 is split into 7 and 71, resulting in an answer of 71. or  Appropriate work is shown, but more than one or  No answer or an incorrect answer is found, but a list such as,, 81, 88, 88 is shown. or  63, but no work is shown.    7, and appropriate work is shown or an appropriate explanation is given.  Appropriate work is shown, but one or  No answer or an incorrect answer is found, but 1 4 of 8 and 1 of 1 are 3 calculated correctly to arrive at 14.  Appropriate work is shown, but more than one or  No answer or an incorrect answer is found, but 1 of 8 is calculated correctly to 4 arrive at 1. or  7, but no work is shown.  150, and appropriate work is shown, such as 5 C 6 C.  Appropriate work is shown, but one or  All the possible combinations of two mystery books and all the possible combinations of two biographies are calculated, but the answers are not multiplied.  Appropriate work is shown, but more than one or  Appropriate work is shown, but one conceptual error is made, such as the computation 11 C 4 = 330. or  150, but no work is shown.
8 Math A Regents Exam 080 Page 3   The circle is graphed correctly, and appropriate work shows that (5,-) does not lie on the circle.  The circle is graphed correctly, but the work fails to show that (5,-) does not lie on the circle.  The circle is graphed incorrectly, but the location of (5,-) is determined appropriately, based on the incorrect graph.  Yes or no, but no work is shown. or  A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously  x = and y = or equivalent answers, and appropriate work is shown, such as sin 60 = and x tan60 = or the Pythagorean theorem. y  Appropriate work is shown, but one computational or rounding error is made. or  Appropriate work is shown, and the correct answers are found, but not identified.  Appropriate work is shown, but one conceptual error is made, such as sin 60 = x. or  Appropriate work is shown, but more than one computational or rounding error is made.  Appropriate work is shown, but two conceptual errors are made, such as   ww ( + 3) = 40, width = 5, and length = 8, and appropriate work is shown.  ww ( + 3) = 40 and appropriate work is shown, but one computational error is made in finding the length and width. or  ww ( + 3) = 40 and appropriate work is shown, but only the width is found.  ww ( + 3) = 40 and appropriate work is shown, but the length and width are not identified. or  ww ( + 3) = 40 and appropriate work is shown, but more than one computational error is made in finding the length and width. or  An incorrect equation of equal difficulty is solved appropriately for the length and width.  ww ( + 3) = 40, but no further correct work is shown. or  Appropriate work is shown, but one conceptual error is made, such as solving the equation w+ w+ 6= 40. or  ww ( + 3) = 40, width = 5, and length = 8, but no work is shown.  sin 60 = x and tan60 = y. or  x = and y = or equivalent answers, but no work is shown.
9 Math A Regents Exam 080 Page 4    $1.50 for one slice of pizza and $0.75 for one cola, and appropriate work is shown, such as 3x + y = $6 and x + 3y = $5.5.  Appropriate work is shown, but one or  Appropriate work is shown, but only the price of one slice of pizza or the price of one cola is found correctly.  Appropriate work is shown, but more than one or  An incorrect system of equations of equal difficulty is solved appropriately to calculate the cost of one slice of pizza and one cola.  $1.50 for one slice of pizza and $0.75 for one cola, but no work is shown.  3, and an appropriate algebraic or graphic solution is shown.  The equation is graphed correctly, but the time to reach the ground is not identified. or  Appropriate work is shown for an algebraic solution, but either no solution is found or the negative root is not rejected. or  An appropriate algebraic solution is shown, but one  The equation is graphed incorrectly, but an appropriate time to reach the ground is identified. or  The equation is factored incorrectly, but an appropriate solution is found.  3, but no work is shown.  3  10 and y 1 = ( x ) or an equivalent 4 equation, and appropriate work is shown.  Appropriate work is shown, but one  Appropriate work is shown, but more than one or  Appropriate work is shown, but one conceptual error is made in determining the distance or the equation of the line. or  The length, the midpoint, and the slope of AB are found correctly, but no equation or an incorrect equation is given for the perpendicular bisector. or  Only a correct equation of the perpendicular bisector is found.  The correct distance is found, but no attempt is made to find the equation of the perpendicular bisector. or  The midpoint and slope of AB are found correctly, but no further correct work is shown. or  The slope of AB and the slope of the perpendicular bisector are calculated correctly.
The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS A Tuesday, August 13, 2002 8:30 to 11:30 a.m., only Print Your Name: Print Your School s Name: Print your name and the
The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION INTEGRATED ALGEBRA Tuesday, January 27, 2015 1:15 a.m. to 4:15 p.m., only SAMPLE RESPONSE SET Table of Contents Question 31...................
The student will be able to: Geometry and Measurement 1. Demonstrate an understanding of the principles of geometry and measurement and operations using measurements Use the US system of measurement for
The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA 2/ TRIGONOMETRY Tuesday, January 28, 2014 1:15 4:15 p.m. SAMPLE RESPONSE SET Table of Contents Question 28...................
Math Foundations IIB Grade Levels 9-12 Math Foundations IIB introduces students to the following concepts: integers coordinate graphing ratio and proportion multi-step equations and inequalities points,
Vocabulary Words Acute Triangles: A triangle with all acute angles. Examples 80 50 50 Angle: A figure formed by two noncollinear rays that have a common endpoint and are not opposite rays. Angle Bisector:
Overview Mathematical Practices Congruence 1. Make sense of problems and persevere in Experiment with transformations in the plane. solving them. Understand congruence in terms of rigid motions. 2. Reason
Year 8 - Maths Autumn Term Whole Numbers and Decimals Order, add and subtract negative numbers. Recognise and use multiples and factors. Use divisibility tests. Recognise prime numbers. Find square numbers
Find the perimeter and area of each parallelogram or triangle. Round to the nearest tenth if necessary. 1. Use the Pythagorean Theorem to find the height h, of the parallelogram. 2. Each pair of opposite
Topics Covered on Geometry Placement Exam - Use segments and congruence - Use midpoint and distance formulas - Measure and classify angles - Describe angle pair relationships - Use parallel lines and transversals
Math in Focus is a registered trademark of Times Publishing Limited. Houghton Mifflin Harcourt Publishing Company. All rights reserved. Printed in the U.S.A. 06/13 MS77941n Scope & Sequence MIDDLE SCHOOL
Name UNIVERSITY OF WISCONSIN SYSTEM MATHEMATICS PRACTICE EXAM Check us out at our website: http://www.testing.wisc.edu/center.html GENERAL INSTRUCTIONS: You will have 90 minutes to complete the mathematics
Course: Math 7 Decimals and Integers 1-1 Estimation Strategies. Estimate by rounding, front-end estimation, and compatible numbers. Prentice Hall Textbook - Course 2 7.M.0 ~ Measurement Strand ~ Students
New York State Student Learning Objective: Regents Geometry All SLOs MUST include the following basic components: Population These are the students assigned to the course section(s) in this SLO all students
Extra Credit Assignment Lesson plan The following assignment is optional and can be completed to receive up to 5 points on a previously taken exam. The extra credit assignment is to create a typed up lesson
Find the perimeter and area of each parallelogram or triangle. Round to the nearest tenth if necessary. 2. 1. Use the Pythagorean Theorem to find the height h, of the parallelogram. Each pair of opposite
lgebra Geometry Glossary 1) acute angle an angle less than 90 acute angle 90 angle 2) acute triangle a triangle where all angles are less than 90 3) adjacent angles angles that share a common leg Example:
The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS A Monday, January 27, 2003 1:15 to 4:15 p.m., only Print Your Name: Print Your School s Name: Print your name and the
MAT 0950 Course Objectives 5/15/20134/27/2009 A student should be able to R1. Do long division. R2. Divide by multiples of 10. R3. Use multiplication to check quotients. 1. Identify whole numbers. 2. Identify
of 9 1/28/2013 8:32 PM Teacher: Mr. Sime Name: 2 What is the slope of the graph of the equation y = 2x? 5. 2 If the ratio of the measures of corresponding sides of two similar triangles is 4:9, then the
The fundamental purpose of the course is to formalize and extend students geometric experiences from the middle grades. This course includes standards from the conceptual categories of and Statistics and
Park Forest Math Team Meet #5 Self-study Packet Problem Categories for this Meet: 1. Mystery: Problem solving 2. Geometry: Angle measures in plane figures including supplements and complements 3. Number
This file is distributed FREE OF CHARGE by the publisher Quick Reference Handbooks and the author. Quick Reference ebook Click on Contents or Index in the left panel to locate a topic. The math facts listed
Isosceles Triangle Congruent Leg Side Expression Equation Polynomial Monomial Radical Square Root Check Times Itself Function Relation One Domain Range Area Volume Surface Space Length Width Quantitative
Not The Not-Formula Book for C1 Everything you need to know for Core 1 that won t be in the formula book Examination Board: AQA Brief This document is intended as an aid for revision. Although it includes
Introduction The career world is competitive. The competition and the opportunities in the career world become a serious problem for students if they do not do well in Mathematics, because then they are
DEFINITIONS Degree A degree is the 1 th part of a straight angle. 180 Right Angle A 90 angle is called a right angle. Perpendicular Two lines are called perpendicular if they form a right angle. Congruent
Common Core Unit Summary Grades 6 to 8 Grade 8: Unit 1: Congruence and Similarity- 8G1-8G5 rotations reflections and translations,( RRT=congruence) understand congruence of 2 d figures after RRT Dilations
Definitions, s and s Name: Definitions Complementary Angles Two angles whose measures have a sum of 90 o Supplementary Angles Two angles whose measures have a sum of 180 o A statement that can be proven
The verbal answers to all of the following questions should be memorized before completion of pre-algebra. Answers that are not memorized will hinder your ability to succeed in algebra 1. Number Basics
REVIEW SHEETS INTERMEDIATE ALGEBRA MATH 95 A Summary of Concepts Needed to be Successful in Mathematics The following sheets list the key concepts which are taught in the specified math course. The sheets
1. A person has 78 feet of fencing to make a rectangular garden. What dimensions will use all the fencing with the greatest area? (a) 20 ft x 19 ft (b) 21 ft x 18 ft (c) 22 ft x 17 ft 2. Which conditional
Geometry Course Summary Department: Math Semester 1 Learning Objective #1 Geometry Basics Targets to Meet Learning Objective #1 Use inductive reasoning to make conclusions about mathematical patterns Give
To the applicant: The following information will help you review math that is included in the Paraprofessional written examination for the Conejo Valley Unified School District. The Education Code requires
Grade 7 Math Course Lesson Plan: 34 weeks Welcome to Thinkwell s 7th Grade Math! We re thrilled that you ve decided to make us part of your homeschool curriculum. This lesson plan is meant to be a guide
MATHEMATICS A The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS A Thursday, January 29, 2009 1:15 to 4:15 p.m., only Print Your Name: Print Your School s Name: Print your
McDougal Littell California: Pre-Algebra Algebra 1 correlated to the California Math Content s Grades 7 8 McDougal Littell California Pre-Algebra Components: Pupil Edition (PE), Teacher s Edition (TE),
Find each measure. 1. 3. 2. intercepted arc. 30 Here, is a semi-circle. So, intercepted arc. So, 66 4. SCIENCE The diagram shows how light bends in a raindrop to make the colors of the rainbow. If, what
Number Sense and Operations representing as they: 6.N.1 6.N.2 6.N.3 6.N.4 6.N.5 6.N.6 6.N.7 6.N.8 6.N.9 6.N.10 6.N.11 6.N.12 6.N.13. 6.N.14 6.N.15 Demonstrate an understanding of positive integer exponents
The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY (Common Core) Tuesday, June 2, 2015 1:15 to 4:15 p.m. MODEL RESPONSE SET Table of Contents Question 25...................
Name: Class: Date: Geometry Regents Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. If MNP VWX and PM is the shortest side of MNP, what is the shortest
CONDENSED L E S S O N. Parallel and Perpendicular In this lesson you will learn the meaning of parallel and perpendicular discover how the slopes of parallel and perpendicular lines are related use slopes
MyMathLab ecourse for Developmental Mathematics, North Shore Community College, University of New Orleans, Orange Coast College, Normandale Community College Table of Contents Module 1: Whole Numbers and
MATH 65 NOTEBOOK CERTIFICATIONS Review Material from Math 60 2.5 4.3 4.4a Chapter #8: Systems of Linear Equations 8.1 8.2 8.3 Chapter #5: Exponents and Polynomials 5.1 5.2a 5.2b 5.3 5.4 5.5 5.6a 5.7a 1
Section Section Title 1.1 Identify Points, Lines, and Planes 1.2 Use Segments and Congruence 1.3 Use Midpoint and Distance Formulas Chapter 1: Essentials of Geometry Learning Targets I Can 1. Identify,
Algebra I: Symbolic reasoning and calculations with symbols are central in algebra. Through the study of algebra, a student develops an understanding of the symbolic language of mathematics and the sciences.
STRAIGHT LINES Chapter 10 10.1 Overview 10.1.1 Slope of a line If θ is the angle made by a line with positive direction of x-axis in anticlockwise direction, then the value of tan θ is called the slope
Geometry FSA Mathematics Practice Test Questions The purpose of these practice test materials is to orient teachers and students to the types of questions on paper-based FSA tests. By using these materials,
Mathematics Vocabulary List For Pre-Algebra 1. Absolute Value - the distance from a number to zero on a number line. It is always positive. l-6 l = 6 l -25 l = 25 l 6 l = 6 l 25 l = 25 2. Associative Property
ACT Math Vocabular Acute When referring to an angle acute means less than 90 degrees. When referring to a triangle, acute means that all angles are less than 90 degrees. For eample: Altitude The height
Name: Class: Date: ID: A Geometry Module 4 Unit 2 Practice Exam Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which diagram shows the most useful positioning
Pythagorean Theorem, Distance and Midpoints Chapter Questions 1. How is the formula for the Pythagorean Theorem derived? 2. What type of triangle uses the Pythagorean Theorem? 3. What types of lines do
Biggar High School Mathematics Department National 5 Learning Intentions & Success Criteria: Assessing My Progress Expressions & Formulae Topic Learning Intention Success Criteria I understand this Approximation
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, August 13, 2015 8:30 to 11:30 a.m., only Student Name: School Name: The possession or use of any communications
Geometry Week 6 Sec 3.5 to 4.1 Definitions: section 3.5 A A B D B D C Connect the points in consecutive order with segments. C The square is inscribed in the circle. An inscribed polygon is a polygon whose
ALGEBRA /TRIGONOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA /TRIGONOMETRY Tuesday, January 8, 014 1:15 to 4:15 p.m., only Student Name: School Name: The possession
GSE Maths Linear Higher Tier escriptors Fractions /* Find one quantity as a fraction of another Solve problems involving fractions dd and subtract fractions dd and subtract mixed numbers Multiply and divide
2016-2017 Lesson List Table of Contents Operations and Algebraic Thinking... 3 Number and Operations in Base Ten... 6 Measurement and Data... 9 Number and Operations - Fractions...10 Financial Literacy...14
1. State the assumption you would make to start an indirect proof of each statement. Identify the conclusion you wish to prove. The assumption is that this conclusion is false. 2. is a scalene triangle.
High School - Circles Essential Questions: 1. Why are geometry and geometric figures relevant and important? 2. How can geometric ideas be communicated using a variety of representations? ******(i.e maps,
ALGEBRA 2/TRIGONOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA 2/TRIGONOMETRY Friday, January 29, 2016 9:15 a.m. to 12:15 p.m., only Student Name: School Name: The
Academic Content Standards Grade Eight Ohio Pre-Algebra 2008 STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express large numbers and small
Chapter 3 Vocabulary equivalent - Equations with the same solutions as the original equation are called. formula - An algebraic equation that relates two or more real-life quantities. unit rate - A rate
2013. S135 S Coimisiún na Scrúduithe Stáit State Examinations Commission Junior Certificate Examination, 2013 Sample Paper Mathematics (Project Maths Phase 1) Paper 2 Higher Level Time: 2 hours, 30 minutes
The Universit of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE I Thursda, August 16, 2001 8:30 to 11:30 a.m., onl Notice... Scientific calculators
INTEGRATED ALGEBRA The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION INTEGRATED ALGEBRA Tuesday, January 22, 2013 9:15 a.m. to 12:15 p.m., only Student Name: School Name: The possession
Geometry FSA Mathematics Practice Test Answer Key The purpose of these practice test materials is to orient teachers and students to the types of questions on paper-based FSA tests. By using these materials,
Solution Guide for Chapter 6: The Geometry of Right Triangles 6. THE THEOREM OF PYTHAGORAS E-. Another demonstration: (a) Each triangle has area ( ). ab, so the sum of the areas of the triangles is 4 ab
Academic Content Standards Grade Eight and Grade Nine Ohio Algebra 1 2008 Grade Eight STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express
Part 1: Year 9 set 1 Mathematics notes, to accompany the 9H book. equations 1. (p.1), 1.6 (p. 44), 4.6 (p.196) sequences 3. (p.115) Pupils use the Elmwood Press Essential Maths book by David Raymer (9H
1st Nine Weeks Experiment with transformations in the plane G-CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point,
100 Math Facts 6 th Grade Name 1. SUM: What is the answer to an addition problem called? (N. 2.1) 2. DIFFERENCE: What is the answer to a subtraction problem called? (N. 2.1) 3. PRODUCT: What is the answer
Chapter Additional Topics in Math In addition to the questions in Heart of Algebra, Problem Solving and Data Analysis, and Passport to Advanced Math, the SAT Math Test includes several questions that are
Summer Math Eercises For students who are entering Pre-Calculus It has been discovered that idle students lose learning over the summer months. To help you succeed net fall and perhaps to help you learn
MATHS LEVEL DESCRIPTORS Number Level 3 Understand the place value of numbers up to thousands. Order numbers up to 9999. Round numbers to the nearest 10 or 100. Understand the number line below zero, and
Integrated Algebra: Geometry Topics of Study: o Perimeter and Circumference o Area Shaded Area Composite Area o Volume o Surface Area o Relative Error Links to Useful Websites & Videos: o Perimeter and
Foundation Scheme of Work Year 10 September 016-July 017 Foundation Tier Students will be assessed by completing two tests (topic) each Half Term. PERCENTAGES Use percentages in real-life situations VAT
Higher Education Math Placement Placement Assessment Problem Types 1. Whole Numbers, Fractions, and Decimals 1.1 Operations with Whole Numbers Addition with carry Subtraction with borrowing Multiplication
The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B Thursday, January 9, 004 9:15 a.m. to 1:15 p.m., only Print Your Name: Print Your School s Name: Print your name and
2012-2013 Math Content PATHWAY TO ALGEBRA I Unit Lesson Section Number and Operations in Base Ten Place Value with Whole Numbers Place Value and Rounding Addition and Subtraction Concepts Regrouping Concepts
MATH Activities ver3 This content summary list is for the 2011-12 school year. Detailed Content Alignment Documents to State & Common Core Standards are posted on www.pendalearning.com NOTE: Penda continues