Properties of Exponents Date: Per:

Size: px
Start display at page:

Download "Properties of Exponents Date: Per:"

Transcription

1 Math 2 Unit 8 Worksheet 1 Name: Properties of Exponents Date: Per: [1-] Expand and evaluate [4-6] Rewrite each expression using only one base. You do not need to work out the final answer [7-21] Simplify each expression. 7. (7aa 2 )(aa 4 ) 8. ( 4xxxx 2 )(15xx 4 yy 5 ) 9. 4kk(7jj 2 kk ) 10. bb 2 cc aa 2 bb 5 cc aa 4 cc mm 5 (mm nn 5 ) 12. (6pp 2 qq)( 4pp 2 qq 4 ) 1. (aa 2 ) (kk 1 ) 15. (2xx) (5zz 5 ) (5 2 h ) (xx 2 y) (7gg 4 h 0 ) 20. 4jjkk 2 (2jj 4 ) 21. ( 6aa 2 bb) 2 ( bb) Math 2 Unit 8 Worksheet 1

2 [22-0] Simplify each expression. Write the final answer using only positive exponents. 22. ww8 ww 2. xx8 yy 6 xx 2 yy aa bb 7 aa 9 bb mm nn 26. yy yy 10 xxyy7 27. xx 5 yy 28. 7xx (2xx) 1 0. xx 2 [1-2] True or False. 1. Is (yy mm ) nn = (yy nn ) mm a true statement? Pick values for yy, mm and nn to show your answer is correct. 2. Is xx 4 xx = (xx 4 ) a true statement? Pick values for xx to show your answer is correct. Math 2 Unit 8 Worksheet 1

3 Math 2 Unit 8 Worksheet 2 Name: Rational Exponents Date: Per: 1. yy = 2 xx is graphed to the right. Complete the table and label points B, C, D, E, F from the table onto the graph. A xx yy = 2 xx Point A 8 Point B 2 Point C 1 Point D 1 2 Point E 0 Point F -1 [2-4] Write the expression in radical form. 2. kk xx 1 [5-7] Write the expression in exponential form. 5. 2xx 6. ff xx [8-19] Evaluate the expression Math 2 Unit 8 Worksheet 2

4 ( 8) ( 27) (64) ( 125) 4 [20-2] Simplify. Leave answer in simplified radical form when necessary. All variables represent positive numbers. 20. (25xx 2 ) (8xx 4 ) [20-2] Simplify. Leave answer in simplified radical form when necessary xx 1 4 Math 2 Unit 8 Worksheet 2

5 Math 2 Unit 8 Worksheet Name: Simplify Exponential Expressions Date: Per: [1-6] Use exponents to fill in the blanks. 1. xx xx = xx 7 2. xx 4 xx = xx = aa aa 4 = 1 5. xx 12 xx = xx 5 6. xx xx 8 = xx 2 [7-10] Find the value of x = 15 xx = 25 xx = 7 xx = 5 xx [11-16] Simplify each expression. Write the final answer using only positive exponents. 11. (2xx) 12. 2xx 1. (mm)4 (6mm) xxyy 1 2xx 2 yy mm mm4 16. xx4 2yy 5 Math 2 Unit 8 Worksheet

6 17. xx 5 yy 2 21xx 8 yy ww 9 xx ww 2 xx aa bb 8 28aa 7 bb nn2 (5 0 ) 4nn 21. 2mm4 mm tt 2 4tt 2. (mm1 2) (9mm) (6xx1 ) 2 (2xx 5 ) (8xx) Math 2 Unit 8 Worksheet

7 Math 2 Unit 8 Worksheet 4 Name: Simplifying Radical Expressions Date: Per: [1-21] Express in simplest radical form. All variables represent positive numbers mm nn 4. 72aa 4 bb kk mm dd mm aa 9 bb 7 cc xx 8xx aa 2 bb 5 56aa bb Math 2 Unit 8 Worksheet 4

8 ( ) [22-0] Rationalize and simplify each expression Math 2 Unit 8 Worksheet 4

9 Math 2 Unit 8 Worksheet 5 Name: Rational and Irrational Numbers Date: Per: [1-27] Simplify radical expressions, then circle R for rational answers and Ir for Irrational answers R Ir R Ir R Ir R Ir ( ) R Ir R Ir ( ) R Ir R Ir R Ir R Ir R Ir R Ir R Ir R Ir R Ir R Ir R Ir R Ir [19-25] Based on the work you completed in problems 1-18, make the following conjunctures. 19. What can you say about the sum of any two rational numbers? 20. What can you say about the sum of a rational and irrational number? Math 2 Unit 8 Worksheet 5

10 21. What can you say about the product of any two rational numbers? 22. What can you say about the product of a rational and irrational number? 2. Can the sum of two irrational numbers be rational? Give an example: 24. Can the product of two irrational numbers be rational? Give an example: 25. From the numbers: 5, 6, 2 6, 2 6, 5, 6, choose two numbers that when you: a. multiply them, it is rational, AND when you add the same two numbers, it is irrational. b. multiply them, it is irrational, AND when you add the same two numbers, it is irrational. [26-29] Simplify and determine whether each expression is equivalent to 8xx 5 4. Check the appropriate box. Yes No xx xx xx xx 5 Math 2 Unit 8 Worksheet 5

11 Math 2 Unit 8 Review Worksheet Name: No Calculators Allowed Date: Per: [1-4] Simplify each expression (8 ) (2 4 1) ( 4 2 7) ( 7 5) 5. Complete the table. Simplify each expression and check the appropriate box for Rational or Irrational numbers (2 2) Simplified Expression Rational Irrational Provide a counter example for the following statements: a. The sum of 2 irrational square root numbers is Always irrational. b. The product of 2 irrational square root numbers is Always irrational. c. The sum of 2 irrational cube root numbers is Always irrational. d. The product of 2 irrational cube root numbers is Always irrational. Math 2 Unit 8 Review Worksheet

12 7. From the numbers:, 5,, 5, 5, 5, choose two numbers that when you: a. multiply them, it is rational, AND when you add the same two numbers, it is irrational. b. multiply them, it is irrational, AND when you add the same two numbers, it is irrational. [8-1] Simplify each expression. Write the final answer using only positive exponents. 8. (2xx 2 yy 7 ) 9. ( 4xx 4 yy 2 ) xx4 yy (xx kk 4 )(xx 2 kk ) mm 2 kk (mm 2 kk 4 ) 1. xx 4 yy(xx yy 2 ) (7xx 2 yy 5 )(xx 10 )( 2yy 10 ) xx 5 yy 2 (2xx 14 ) zz(yy 5 zz 7 ) 1 yy xx 5 yy 4 xx yy 18. aa 5 bb aa 2 bb xx 7 rr 4 xx 2 rr 20. 4mm 2 nn 5 pp 2mm 7 nn pp xx 7 yy 2 zz 4 7xx 5 yy 8 zz ss tt 2 vv 5ss 2 tt vv 2. (xx 2 ) 24. (2xx 1 ) (4xx 1 5) 2 Math 2 Unit 8 Review Worksheet

13 / / / 29. xx5 xx xx2 xx xx5 10 xx 4 [2-4] Write in exponential form xx 4. xx xx 6 8 [5-7] Simplify and write in exponential form [8-40] Complete the table. Write in simplified exponential and radical form. Expression Simplified Exponent Form Simplified Radical Form 8. (27xx) 2 9. (81xx ) (16xx 5 ) 2 [41-4] Simplify and express answer in radical form dd 2 dd Math 2 Unit 8 Review Worksheet

14 [44-49] Write in exponential form, then solve for x = 16 xx = 64 xx = 8 xx = 7 xx = 1 xx = 2 1 xx 50. Complete the table. Write an Equivalent Expression to the following in the form of aa mm aa nn and (aa nn ) mm aa mm aa nn (aa nn ) mm aa 14 xx 12 pp 20 Math 2 Unit 8 Review Worksheet

Are You Ready? Simplify Fractions

Are You Ready? Simplify Fractions SKILL 10 Simplify Fractions Teaching Skill 10 Objective Write a fraction in simplest form. Review the definition of simplest form with students. Ask: Is 3 written in simplest form? Why 7 or why not? (Yes,

More information

BENCHMARK MA.8.A.6.1. Reporting Category

BENCHMARK MA.8.A.6.1. Reporting Category Grade MA..A.. Reporting Category BENCHMARK MA..A.. Number and Operations Standard Supporting Idea Number and Operations Benchmark MA..A.. Use exponents and scientific notation to write large and small

More information

Activity 2 Multiplying Fractions Math 33. Is it important to have common denominators when we multiply fraction? Why or why not?

Activity 2 Multiplying Fractions Math 33. Is it important to have common denominators when we multiply fraction? Why or why not? Activity Multiplying Fractions Math Your Name: Partners Names:.. (.) Essential Question: Think about the question, but don t answer it. You will have an opportunity to answer this question at the end of

More information

Math 098 Intermediate Algebra Spring 2018

Math 098 Intermediate Algebra Spring 2018 Math 098 Intermediate Algebra Spring 2018 Dept. of Mathematics Instructor's Name: Office Location: Office Hours: Office Phone: E-mail: MyMathLab Course ID: Course Description This course expands on the

More information

Statewide Framework Document for:

Statewide Framework Document for: Statewide Framework Document for: 270301 Standards may be added to this document prior to submission, but may not be removed from the framework to meet state credit equivalency requirements. Performance

More information

Algebra 1, Quarter 3, Unit 3.1. Line of Best Fit. Overview

Algebra 1, Quarter 3, Unit 3.1. Line of Best Fit. Overview Algebra 1, Quarter 3, Unit 3.1 Line of Best Fit Overview Number of instructional days 6 (1 day assessment) (1 day = 45 minutes) Content to be learned Analyze scatter plots and construct the line of best

More information

Grading Policy/Evaluation: The grades will be counted in the following way: Quizzes 30% Tests 40% Final Exam: 30%

Grading Policy/Evaluation: The grades will be counted in the following way: Quizzes 30% Tests 40% Final Exam: 30% COURSE SYLLABUS FALL 2010 MATH 0408 INTERMEDIATE ALGEBRA Course # 0408.06 Course Schedule/Location: TT 09:35 11:40, A-228 Instructor: Dr. Calin Agut, Office: J-202, Department of Mathematics, Brazosport

More information

AGS THE GREAT REVIEW GAME FOR PRE-ALGEBRA (CD) CORRELATED TO CALIFORNIA CONTENT STANDARDS

AGS THE GREAT REVIEW GAME FOR PRE-ALGEBRA (CD) CORRELATED TO CALIFORNIA CONTENT STANDARDS AGS THE GREAT REVIEW GAME FOR PRE-ALGEBRA (CD) CORRELATED TO CALIFORNIA CONTENT STANDARDS 1 CALIFORNIA CONTENT STANDARDS: Chapter 1 ALGEBRA AND WHOLE NUMBERS Algebra and Functions 1.4 Students use algebraic

More information

Mathematics Success Level E

Mathematics Success Level E T403 [OBJECTIVE] The student will generate two patterns given two rules and identify the relationship between corresponding terms, generate ordered pairs, and graph the ordered pairs on a coordinate plane.

More information

Algebra 1 Summer Packet

Algebra 1 Summer Packet Algebra 1 Summer Packet Name: Solve each problem and place the answer on the line to the left of the problem. Adding Integers A. Steps if both numbers are positive. Example: 3 + 4 Step 1: Add the two numbers.

More information

Math 150 Syllabus Course title and number MATH 150 Term Fall 2017 Class time and location INSTRUCTOR INFORMATION Name Erin K. Fry Phone number Department of Mathematics: 845-3261 e-mail address erinfry@tamu.edu

More information

Honors Mathematics. Introduction and Definition of Honors Mathematics

Honors Mathematics. Introduction and Definition of Honors Mathematics Honors Mathematics Introduction and Definition of Honors Mathematics Honors Mathematics courses are intended to be more challenging than standard courses and provide multiple opportunities for students

More information

GUIDE TO THE CUNY ASSESSMENT TESTS

GUIDE TO THE CUNY ASSESSMENT TESTS GUIDE TO THE CUNY ASSESSMENT TESTS IN MATHEMATICS Rev. 117.016110 Contents Welcome... 1 Contact Information...1 Programs Administered by the Office of Testing and Evaluation... 1 CUNY Skills Assessment:...1

More information

Written by Wendy Osterman

Written by Wendy Osterman Pre-Algebra Written by Wendy Osterman Editor: Alaska Hults Illustrator: Corbin Hillam Designer/Production: Moonhee Pak/Cari Helstrom Cover Designer: Barbara Peterson Art Director: Tom Cochrane Project

More information

LLD MATH. Student Eligibility: Grades 6-8. Credit Value: Date Approved: 8/24/15

LLD MATH. Student Eligibility: Grades 6-8. Credit Value: Date Approved: 8/24/15 PUBLIC SCHOOLS OF EDISON TOWNSHIP DIVISION OF CURRICULUM AND INSTRUCTION LLD MATH Length of Course: Elective/Required: School: Full Year Required Middle Schools Student Eligibility: Grades 6-8 Credit Value:

More information

Answers To Hawkes Learning Systems Intermediate Algebra

Answers To Hawkes Learning Systems Intermediate Algebra Answers To Hawkes Learning Free PDF ebook Download: Answers To Download or Read Online ebook answers to hawkes learning systems intermediate algebra in PDF Format From The Best User Guide Database Double

More information

Mathematics Success Grade 7

Mathematics Success Grade 7 T894 Mathematics Success Grade 7 [OBJECTIVE] The student will find probabilities of compound events using organized lists, tables, tree diagrams, and simulations. [PREREQUISITE SKILLS] Simple probability,

More information

MAT 122 Intermediate Algebra Syllabus Summer 2016

MAT 122 Intermediate Algebra Syllabus Summer 2016 Instructor: Gary Adams Office: None (I am adjunct faculty) Phone: None Email: gary.adams@scottsdalecc.edu Office Hours: None CLASS TIME and LOCATION: Title Section Days Time Location Campus MAT122 12562

More information

Multiplication of 2 and 3 digit numbers Multiply and SHOW WORK. EXAMPLE. Now try these on your own! Remember to show all work neatly!

Multiplication of 2 and 3 digit numbers Multiply and SHOW WORK. EXAMPLE. Now try these on your own! Remember to show all work neatly! Multiplication of 2 and digit numbers Multiply and SHOW WORK. EXAMPLE 205 12 10 2050 2,60 Now try these on your own! Remember to show all work neatly! 1. 6 2 2. 28 8. 95 7. 82 26 5. 905 15 6. 260 59 7.

More information

Pre-Algebra A. Syllabus. Course Overview. Course Goals. General Skills. Credit Value

Pre-Algebra A. Syllabus. Course Overview. Course Goals. General Skills. Credit Value Syllabus Pre-Algebra A Course Overview Pre-Algebra is a course designed to prepare you for future work in algebra. In Pre-Algebra, you will strengthen your knowledge of numbers as you look to transition

More information

Mathematics. Mathematics

Mathematics. Mathematics Mathematics Program Description Successful completion of this major will assure competence in mathematics through differential and integral calculus, providing an adequate background for employment in

More information

Algebra 2- Semester 2 Review

Algebra 2- Semester 2 Review Name Block Date Algebra 2- Semester 2 Review Non-Calculator 5.4 1. Consider the function f x 1 x 2. a) Describe the transformation of the graph of y 1 x. b) Identify the asymptotes. c) What is the domain

More information

MATH 108 Intermediate Algebra (online) 4 Credits Fall 2008

MATH 108 Intermediate Algebra (online) 4 Credits Fall 2008 MATH 108 Intermediate Algebra (online) 4 Credits Fall 2008 Instructor: Nolan Rice Math Lab: T 2:00 2:50 Office: SHL 206-F Office Hours: M/F 2:00 2:50 Phone/Voice Mail: 732.6819 W 4:30 5:20 E-mail: nrice@csi.edu

More information

Diagnostic Test. Middle School Mathematics

Diagnostic Test. Middle School Mathematics Diagnostic Test Middle School Mathematics Copyright 2010 XAMonline, Inc. All rights reserved. No part of the material protected by this copyright notice may be reproduced or utilized in any form or by

More information

Tears. Measurement - Capacity Make A Rhyme. Draw and Write. Life Science *Sign in. Notebooks OBJ: To introduce capacity, *Pledge of

Tears. Measurement - Capacity Make A Rhyme. Draw and Write. Life Science *Sign in. Notebooks OBJ: To introduce capacity, *Pledge of May 8-12 2017 Crème de la Crème- Haynes Bridge Ms. Jamie Marini Kindergarten Day of the Week Language Arts/ Phonics 10:30am-12pm HWT 9:30-10:00am Math 1:00-1:45pm Science 1:45-2:30pm Unit 8 By the Sea

More information

Lab 1 - The Scientific Method

Lab 1 - The Scientific Method Lab 1 - The Scientific Method As Biologists we are interested in learning more about life. Through observations of the living world we often develop questions about various phenomena occurring around us.

More information

THE PENNSYLVANIA STATE UNIVERSITY SCHREYER HONORS COLLEGE DEPARTMENT OF MATHEMATICS ASSESSING THE EFFECTIVENESS OF MULTIPLE CHOICE MATH TESTS

THE PENNSYLVANIA STATE UNIVERSITY SCHREYER HONORS COLLEGE DEPARTMENT OF MATHEMATICS ASSESSING THE EFFECTIVENESS OF MULTIPLE CHOICE MATH TESTS THE PENNSYLVANIA STATE UNIVERSITY SCHREYER HONORS COLLEGE DEPARTMENT OF MATHEMATICS ASSESSING THE EFFECTIVENESS OF MULTIPLE CHOICE MATH TESTS ELIZABETH ANNE SOMERS Spring 2011 A thesis submitted in partial

More information

Answers To Jlab Algebra 2

Answers To Jlab Algebra 2 To Jlab Algebra 2 Free PDF ebook Download: To Jlab Algebra 2 Download or Read Online ebook answers to jlab algebra 2 in PDF Format From The Best User Guide Database The JLAB facility has many state of

More information

Mathematics Assessment Plan

Mathematics Assessment Plan Mathematics Assessment Plan Mission Statement for Academic Unit: Georgia Perimeter College transforms the lives of our students to thrive in a global society. As a diverse, multi campus two year college,

More information

Factoring - Grouping

Factoring - Grouping 6.2 Factoring - Grouping Objective: Factor polynomials with four terms using grouping. The first thing we will always do when factoring is try to factor out a GCF. This GCF is often a monomial like in

More information

Mathematics Learner s Material

Mathematics Learner s Material 9 Mathematics Learner s Material Module 4: Zero Exponents, Negative Integral Exponents, Rational Exponents, and Radicals This instructional material was collaboratively developed and reviewed by educators

More information

Talk About It. More Ideas. Formative Assessment. Have students try the following problem.

Talk About It. More Ideas. Formative Assessment. Have students try the following problem. 5.NF. 5.NF.2 Objective Common Core State Standards Add Fractions with Unlike Denominators Students build on their knowledge of fractions as they use models to add fractions with unlike denominators. They

More information

Extending Place Value with Whole Numbers to 1,000,000

Extending Place Value with Whole Numbers to 1,000,000 Grade 4 Mathematics, Quarter 1, Unit 1.1 Extending Place Value with Whole Numbers to 1,000,000 Overview Number of Instructional Days: 10 (1 day = 45 minutes) Content to Be Learned Recognize that a digit

More information

Afm Math Review Download or Read Online ebook afm math review in PDF Format From The Best User Guide Database

Afm Math Review Download or Read Online ebook afm math review in PDF Format From The Best User Guide Database Afm Math Free PDF ebook Download: Afm Math Download or Read Online ebook afm math review in PDF Format From The Best User Guide Database C++ for Game Programming with DirectX9.0c and Raknet. Lesson 1.

More information

Paper 2. Mathematics test. Calculator allowed. First name. Last name. School KEY STAGE TIER

Paper 2. Mathematics test. Calculator allowed. First name. Last name. School KEY STAGE TIER 259574_P2 5-7_KS3_Ma.qxd 1/4/04 4:14 PM Page 1 Ma KEY STAGE 3 TIER 5 7 2004 Mathematics test Paper 2 Calculator allowed Please read this page, but do not open your booklet until your teacher tells you

More information

Guide to the Uniform mark scale (UMS) Uniform marks in A-level and GCSE exams

Guide to the Uniform mark scale (UMS) Uniform marks in A-level and GCSE exams Guide to the Uniform mark scale (UMS) Uniform marks in A-level and GCSE exams This booklet explains why the Uniform mark scale (UMS) is necessary and how it works. It is intended for exams officers and

More information

Mathematics process categories

Mathematics process categories Mathematics process categories All of the UK curricula define multiple categories of mathematical proficiency that require students to be able to use and apply mathematics, beyond simple recall of facts

More information

Paper Reference. Edexcel GCSE Mathematics (Linear) 1380 Paper 1 (Non-Calculator) Foundation Tier. Monday 6 June 2011 Afternoon Time: 1 hour 30 minutes

Paper Reference. Edexcel GCSE Mathematics (Linear) 1380 Paper 1 (Non-Calculator) Foundation Tier. Monday 6 June 2011 Afternoon Time: 1 hour 30 minutes Centre No. Candidate No. Paper Reference 1 3 8 0 1 F Paper Reference(s) 1380/1F Edexcel GCSE Mathematics (Linear) 1380 Paper 1 (Non-Calculator) Foundation Tier Monday 6 June 2011 Afternoon Time: 1 hour

More information

Exemplar 6 th Grade Math Unit: Prime Factorization, Greatest Common Factor, and Least Common Multiple

Exemplar 6 th Grade Math Unit: Prime Factorization, Greatest Common Factor, and Least Common Multiple Exemplar 6 th Grade Math Unit: Prime Factorization, Greatest Common Factor, and Least Common Multiple Unit Plan Components Big Goal Standards Big Ideas Unpacked Standards Scaffolded Learning Resources

More information

Answer Key For The California Mathematics Standards Grade 1

Answer Key For The California Mathematics Standards Grade 1 Introduction: Summary of Goals GRADE ONE By the end of grade one, students learn to understand and use the concept of ones and tens in the place value number system. Students add and subtract small numbers

More information

Replies to Greco and Turner

Replies to Greco and Turner Replies to Greco and Turner Agustín Rayo October 27, 2014 Greco and Turner wrote two fantastic critiques of my book. I learned a great deal from their comments, and suffered a great deal trying to come

More information

Math 96: Intermediate Algebra in Context

Math 96: Intermediate Algebra in Context : Intermediate Algebra in Context Syllabus Spring Quarter 2016 Daily, 9:20 10:30am Instructor: Lauri Lindberg Office Hours@ tutoring: Tutoring Center (CAS-504) 8 9am & 1 2pm daily STEM (Math) Center (RAI-338)

More information

Sample worksheet from

Sample worksheet from Copyright 2017 Maria Miller. EDITION 1/2017 All rights reserved. No part of this book may be reproduced or transmitted in any form or by any means, electronic or mechanical, or by any information storage

More information

J j W w. Write. Name. Max Takes the Train. Handwriting Letters Jj, Ww: Words with j, w 321

J j W w. Write. Name. Max Takes the Train. Handwriting Letters Jj, Ww: Words with j, w 321 Write J j W w Jen Will Directions Have children write a row of each letter and then write the words. Home Activity Ask your child to write each letter and tell you how to make the letter. Handwriting Letters

More information

Foothill College Summer 2016

Foothill College Summer 2016 Foothill College Summer 2016 Intermediate Algebra Math 105.04W CRN# 10135 5.0 units Instructor: Yvette Butterworth Text: None; Beoga.net material used Hours: Online Except Final Thurs, 8/4 3:30pm Phone:

More information

PHYSICS 40S - COURSE OUTLINE AND REQUIREMENTS Welcome to Physics 40S for !! Mr. Bryan Doiron

PHYSICS 40S - COURSE OUTLINE AND REQUIREMENTS Welcome to Physics 40S for !! Mr. Bryan Doiron PHYSICS 40S - COURSE OUTLINE AND REQUIREMENTS Welcome to Physics 40S for 2016-2017!! Mr. Bryan Doiron The course covers the following topics (time permitting): Unit 1 Kinematics: Special Equations, Relative

More information

Mixed Up Multiplication Grid

Mixed Up Multiplication Grid Mixed Up Multiplication Grid Free PDF ebook Download: Mixed Up Multiplication Grid Download or Read Online ebook mixed up multiplication grid in PDF Format From The Best User Guide Database Super Teacher

More information

Using Proportions to Solve Percentage Problems I

Using Proportions to Solve Percentage Problems I RP7-1 Using Proportions to Solve Percentage Problems I Pages 46 48 Standards: 7.RP.A. Goals: Students will write equivalent statements for proportions by keeping track of the part and the whole, and by

More information

CUNY ASSESSMENT TESTS Webinar for International Students

CUNY ASSESSMENT TESTS Webinar for International Students CUNY ASSESSMENT TESTS Webinar for International Students 1 Today s Agenda ITEM 1 Description Overview of the CUNY ASSESSMENT TEST (CAT) What is the CUNY Assessment Test Why students need to take the CAT

More information

Syllabus ENGR 190 Introductory Calculus (QR)

Syllabus ENGR 190 Introductory Calculus (QR) Syllabus ENGR 190 Introductory Calculus (QR) Catalog Data: ENGR 190 Introductory Calculus (4 credit hours). Note: This course may not be used for credit toward the J.B. Speed School of Engineering B. S.

More information

Grade 6: Correlated to AGS Basic Math Skills

Grade 6: Correlated to AGS Basic Math Skills Grade 6: Correlated to AGS Basic Math Skills Grade 6: Standard 1 Number Sense Students compare and order positive and negative integers, decimals, fractions, and mixed numbers. They find multiples and

More information

APES Summer Work PURPOSE: THE ASSIGNMENT: DUE DATE: TEST:

APES Summer Work PURPOSE: THE ASSIGNMENT: DUE DATE: TEST: APES Summer Work PURPOSE: Like most science courses, APES involves math, data analysis, and graphing. Simple math concepts, like dealing with scientific notation, unit conversions, and percent increases,

More information

Touchpoint Math Multiplication

Touchpoint Math Multiplication Touchpoint Math Free PDF ebook Download: Touchpoint Math Download or Read Online ebook touchpoint math multiplication in PDF Format From The Best User Guide Database 03-06 : Multiplying Greater. Numbers..

More information

Focus of the Unit: Much of this unit focuses on extending previous skills of multiplication and division to multi-digit whole numbers.

Focus of the Unit: Much of this unit focuses on extending previous skills of multiplication and division to multi-digit whole numbers. Approximate Time Frame: 3-4 weeks Connections to Previous Learning: In fourth grade, students fluently multiply (4-digit by 1-digit, 2-digit by 2-digit) and divide (4-digit by 1-digit) using strategies

More information

Unit 9. Teacher Guide. k l m n o p q r s t u v w x y z. Kindergarten Core Knowledge Language Arts New York Edition Skills Strand

Unit 9. Teacher Guide. k l m n o p q r s t u v w x y z. Kindergarten Core Knowledge Language Arts New York Edition Skills Strand q r s Kindergarten Core Knowledge Language Arts New York Edition Skills Strand a b c d Unit 9 x y z a b c d e Teacher Guide a b c d e f g h i j k l m n o p q r s t u v w x y z a b c d e f g h i j k l m

More information

Technical Manual Supplement

Technical Manual Supplement VERSION 1.0 Technical Manual Supplement The ACT Contents Preface....................................................................... iii Introduction....................................................................

More information

College of Intensive Care Medicine of Australia and New Zealand

College of Intensive Care Medicine of Australia and New Zealand College of Intensive Care Medicine of Australia and New Zealand Annual Progress Report of the College of Intensive Care Medicine of Australia and New Zealand for submission to the Australian Medical Council

More information

Intermediate Algebra

Intermediate Algebra Intermediate Algebra An Individualized Approach Robert D. Hackworth Robert H. Alwin Parent s Manual 1 2005 H&H Publishing Company, Inc. 1231 Kapp Drive Clearwater, FL 33765 (727) 442-7760 (800) 366-4079

More information

(I couldn t find a Smartie Book) NEW Grade 5/6 Mathematics: (Number, Statistics and Probability) Title Smartie Mathematics

(I couldn t find a Smartie Book) NEW Grade 5/6 Mathematics: (Number, Statistics and Probability) Title Smartie Mathematics (I couldn t find a Smartie Book) NEW Grade 5/6 Mathematics: (Number, Statistics and Probability) Title Smartie Mathematics Lesson/ Unit Description Questions: How many Smarties are in a box? Is it the

More information

The Indices Investigations Teacher s Notes

The Indices Investigations Teacher s Notes The Indices Investigations Teacher s Notes These activities are for students to use independently of the teacher to practise and develop number and algebra properties.. Number Framework domain and stage:

More information

Learning Disability Functional Capacity Evaluation. Dear Doctor,

Learning Disability Functional Capacity Evaluation. Dear Doctor, Dear Doctor, I have been asked to formulate a vocational opinion regarding NAME s employability in light of his/her learning disability. To assist me with this evaluation I would appreciate if you can

More information

Manipulative Mathematics Using Manipulatives to Promote Understanding of Math Concepts

Manipulative Mathematics Using Manipulatives to Promote Understanding of Math Concepts Using Manipulatives to Promote Understanding of Math Concepts Multiples and Primes Multiples Prime Numbers Manipulatives used: Hundreds Charts Manipulative Mathematics 1 www.foundationsofalgebra.com Multiples

More information

GCSE Mathematics B (Linear) Mark Scheme for November Component J567/04: Mathematics Paper 4 (Higher) General Certificate of Secondary Education

GCSE Mathematics B (Linear) Mark Scheme for November Component J567/04: Mathematics Paper 4 (Higher) General Certificate of Secondary Education GCSE Mathematics B (Linear) Component J567/04: Mathematics Paper 4 (Higher) General Certificate of Secondary Education Mark Scheme for November 2014 Oxford Cambridge and RSA Examinations OCR (Oxford Cambridge

More information

AP Calculus AB. Nevada Academic Standards that are assessable at the local level only.

AP Calculus AB. Nevada Academic Standards that are assessable at the local level only. Calculus AB Priority Keys Aligned with Nevada Standards MA I MI L S MA represents a Major content area. Any concept labeled MA is something of central importance to the entire class/curriculum; it is a

More information

TOPICS LEARNING OUTCOMES ACTIVITES ASSESSMENT Numbers and the number system

TOPICS LEARNING OUTCOMES ACTIVITES ASSESSMENT Numbers and the number system Curriculum Overview Mathematics 1 st term 5º grade - 2010 TOPICS LEARNING OUTCOMES ACTIVITES ASSESSMENT Numbers and the number system Multiplies and divides decimals by 10 or 100. Multiplies and divide

More information

Math 121 Fundamentals of Mathematics I

Math 121 Fundamentals of Mathematics I I. Course Description: Math 121 Fundamentals of Mathematics I Math 121 is a general course in the fundamentals of mathematics. It includes a study of concepts of numbers and fundamental operations with

More information

If we want to measure the amount of cereal inside the box, what tool would we use: string, square tiles, or cubes?

If we want to measure the amount of cereal inside the box, what tool would we use: string, square tiles, or cubes? String, Tiles and Cubes: A Hands-On Approach to Understanding Perimeter, Area, and Volume Teaching Notes Teacher-led discussion: 1. Pre-Assessment: Show students the equipment that you have to measure

More information

Characteristics of Functions

Characteristics of Functions Characteristics of Functions Unit: 01 Lesson: 01 Suggested Duration: 10 days Lesson Synopsis Students will collect and organize data using various representations. They will identify the characteristics

More information

Grade 5 + DIGITAL. EL Strategies. DOK 1-4 RTI Tiers 1-3. Flexible Supplemental K-8 ELA & Math Online & Print

Grade 5 + DIGITAL. EL Strategies. DOK 1-4 RTI Tiers 1-3. Flexible Supplemental K-8 ELA & Math Online & Print Standards PLUS Flexible Supplemental K-8 ELA & Math Online & Print Grade 5 SAMPLER Mathematics EL Strategies DOK 1-4 RTI Tiers 1-3 15-20 Minute Lessons Assessments Consistent with CA Testing Technology

More information

TCC Jim Bolen Math Competition Rules and Facts. Rules:

TCC Jim Bolen Math Competition Rules and Facts. Rules: TCC Jim Bolen Math Competition Rules and Facts Rules: The Jim Bolen Math Competition is composed of two one hour multiple choice pre-calculus tests. The first test is scheduled on Friday, November 8, 2013

More information

First Grade Standards

First Grade Standards These are the standards for what is taught throughout the year in First Grade. It is the expectation that these skills will be reinforced after they have been taught. Mathematical Practice Standards Taught

More information

TabletClass Math Geometry Course Guidebook

TabletClass Math Geometry Course Guidebook TabletClass Math Geometry Course Guidebook Includes Final Exam/Key, Course Grade Calculation Worksheet and Course Certificate Student Name Parent Name School Name Date Started Course Date Completed Course

More information

Conversation Task: The Environment Concerns Us All

Conversation Task: The Environment Concerns Us All At a glance Level: ISE II Conversation Task: The Environment Concerns Us All Focus: Conversation task Aims: To develop students active vocabulary when discussing the environment, to expand their knowledge

More information

NBER WORKING PAPER SERIES INVESTING IN SCHOOLS: CAPITAL SPENDING, FACILITY CONDITIONS, AND STUDENT ACHIEVEMENT

NBER WORKING PAPER SERIES INVESTING IN SCHOOLS: CAPITAL SPENDING, FACILITY CONDITIONS, AND STUDENT ACHIEVEMENT NBER WORKING PAPER SERIES INVESTING IN SCHOOLS: CAPITAL SPENDING, FACILITY CONDITIONS, AND STUDENT ACHIEVEMENT Paco Martorell Kevin M. Stange Isaac McFarlin Originally posted as NBER working paper 21515

More information

Physics 270: Experimental Physics

Physics 270: Experimental Physics 2017 edition Lab Manual Physics 270 3 Physics 270: Experimental Physics Lecture: Lab: Instructor: Office: Email: Tuesdays, 2 3:50 PM Thursdays, 2 4:50 PM Dr. Uttam Manna 313C Moulton Hall umanna@ilstu.edu

More information

Mathematics subject curriculum

Mathematics subject curriculum Mathematics subject curriculum Dette er ei omsetjing av den fastsette læreplanteksten. Læreplanen er fastsett på Nynorsk Established as a Regulation by the Ministry of Education and Research on 24 June

More information

AP Chemistry

AP Chemistry AP Chemistry 2016-2017 Welcome to AP Chemistry! I am so excited to have you in this course next year! To get geared up for the class, there are some things that you need to do this summer. None of it is

More information

Curriculum Design Project with Virtual Manipulatives. Gwenanne Salkind. George Mason University EDCI 856. Dr. Patricia Moyer-Packenham

Curriculum Design Project with Virtual Manipulatives. Gwenanne Salkind. George Mason University EDCI 856. Dr. Patricia Moyer-Packenham Curriculum Design Project with Virtual Manipulatives Gwenanne Salkind George Mason University EDCI 856 Dr. Patricia Moyer-Packenham Spring 2006 Curriculum Design Project with Virtual Manipulatives Table

More information

This scope and sequence assumes 160 days for instruction, divided among 15 units.

This scope and sequence assumes 160 days for instruction, divided among 15 units. In previous grades, students learned strategies for multiplication and division, developed understanding of structure of the place value system, and applied understanding of fractions to addition and subtraction

More information

The Bruins I.C.E. School

The Bruins I.C.E. School The Bruins I.C.E. School Lesson 1: Retell and Sequence the Story Lesson 2: Bruins Name Jersey Lesson 3: Building Hockey Words (Letter Sound Relationships-Beginning Sounds) Lesson 4: Building Hockey Words

More information

Answers: Year 4 Textbook 3 Pages 4 10

Answers: Year 4 Textbook 3 Pages 4 10 Answers: Year 4 Textbook Pages 4 Page 4 1. 729 2. 8947. 6502 4. 2067 5. 480 6. 7521 > 860 7. 85 > 699 8. 9442< 9852 9. 4725 > 4572. 8244 < 9241 11. 026 < 211 12. A number between 20 and 4800 1. A number

More information

Average Number of Letters

Average Number of Letters Find the average number of letters in a group of 5 names. As a group, discuss strategies to figure out how to find the average number of letters in a group of 5 names. Remember that there will be 5 groups

More information

Mathematics Scoring Guide for Sample Test 2005

Mathematics Scoring Guide for Sample Test 2005 Mathematics Scoring Guide for Sample Test 2005 Grade 4 Contents Strand and Performance Indicator Map with Answer Key...................... 2 Holistic Rubrics.......................................................

More information

4.0 CAPACITY AND UTILIZATION

4.0 CAPACITY AND UTILIZATION 4.0 CAPACITY AND UTILIZATION The capacity of a school building is driven by four main factors: (1) the physical size of the instructional spaces, (2) the class size limits, (3) the schedule of uses, and

More information

Primary National Curriculum Alignment for Wales

Primary National Curriculum Alignment for Wales Mathletics and the Welsh Curriculum This alignment document lists all Mathletics curriculum activities associated with each Wales course, and demonstrates how these fit within the National Curriculum Programme

More information

Math Grade 3 Assessment Anchors and Eligible Content

Math Grade 3 Assessment Anchors and Eligible Content Math Grade 3 Assessment Anchors and Eligible Content www.pde.state.pa.us 2007 M3.A Numbers and Operations M3.A.1 Demonstrate an understanding of numbers, ways of representing numbers, relationships among

More information

Rendezvous with Comet Halley Next Generation of Science Standards

Rendezvous with Comet Halley Next Generation of Science Standards Next Generation of Science Standards 5th Grade 6 th Grade 7 th Grade 8 th Grade 5-PS1-3 Make observations and measurements to identify materials based on their properties. MS-PS1-4 Develop a model that

More information

SAT MATH PREP:

SAT MATH PREP: SAT MATH PREP: 2015-2016 NOTE: The College Board has redesigned the SAT Test. This new test will start in March of 2016. Also, the PSAT test given in October of 2015 will have the new format. Therefore

More information

INTERMEDIATE ALGEBRA PRODUCT GUIDE

INTERMEDIATE ALGEBRA PRODUCT GUIDE Welcome Thank you for choosing Intermediate Algebra. This adaptive digital curriculum provides students with instruction and practice in advanced algebraic concepts, including rational, radical, and logarithmic

More information

UNIT ONE Tools of Algebra

UNIT ONE Tools of Algebra UNIT ONE Tools of Algebra Subject: Algebra 1 Grade: 9 th 10 th Standards and Benchmarks: 1 a, b,e; 3 a, b; 4 a, b; Overview My Lessons are following the first unit from Prentice Hall Algebra 1 1. Students

More information

Table of Contents. Development of K-12 Louisiana Connectors in Mathematics and ELA

Table of Contents. Development of K-12 Louisiana Connectors in Mathematics and ELA Table of Contents Introduction Rationale and Purpose Development of K-12 Louisiana Connectors in Mathematics and ELA Implementation Reading the Louisiana Connectors Louisiana Connectors for Mathematics

More information

While you are waiting... socrative.com, room number SIMLANG2016

While you are waiting... socrative.com, room number SIMLANG2016 While you are waiting... socrative.com, room number SIMLANG2016 Simulating Language Lecture 4: When will optimal signalling evolve? Simon Kirby simon@ling.ed.ac.uk T H E U N I V E R S I T Y O H F R G E

More information

SOUTHERN MAINE COMMUNITY COLLEGE South Portland, Maine 04106

SOUTHERN MAINE COMMUNITY COLLEGE South Portland, Maine 04106 SOUTHERN MAINE COMMUNITY COLLEGE South Portland, Maine 04106 Title: Precalculus Catalog Number: MATH 190 Credit Hours: 3 Total Contact Hours: 45 Instructor: Gwendolyn Blake Email: gblake@smccme.edu Website:

More information

First and Last Name School District School Name School City, State

First and Last Name School District School Name School City, State Unit Plan - Fractions Unit Author First and Last Name School District School Name School City, State Allison Cooper (King) Putnam County Rock Branch Elementary School Rock Branch, WV Unit Overview Unit

More information

Grade Five Chapter 6 Add and Subtract Fractions with Unlike Denominators Overview & Support Standards:

Grade Five Chapter 6 Add and Subtract Fractions with Unlike Denominators Overview & Support Standards: rade Five Chapter 6 Add and Subtract Fractions with Unlike Denominators Overview & Support Standards: Use equivalent fractions as a strategy to add and subtract fractions. Add and subtract fractions with

More information

Mathematics Session 1

Mathematics Session 1 Mathematics Session 1 Question 9 is an open-response question. BE SURE TO ANSWER AND LABEL ALL PARTS OF THE QUESTION. Write your answer to question 9 in the space provided in your Student Answer Booklet.

More information

2 nd Grade Math Curriculum Map

2 nd Grade Math Curriculum Map .A.,.M.6,.M.8,.N.5,.N.7 Organizing Data in a Table Working with multiples of 5, 0, and 5 Using Patterns in data tables to make predictions and solve problems. Solving problems involving money. Using a

More information

Story Problems with. Missing Parts. s e s s i o n 1. 8 A. Story Problems with. More Story Problems with. Missing Parts

Story Problems with. Missing Parts. s e s s i o n 1. 8 A. Story Problems with. More Story Problems with. Missing Parts s e s s i o n 1. 8 A Math Focus Points Developing strategies for solving problems with unknown change/start Developing strategies for recording solutions to story problems Using numbers and standard notation

More information

Work Stations 101: Grades K-5 NCTM Regional Conference &

Work Stations 101: Grades K-5 NCTM Regional Conference & : Grades K-5 NCTM Regional Conference 11.20.14 & 11.21.14 Janet (Dodd) Nuzzie, Pasadena ISD District Instructional Specialist, K-4 President, Texas Association of Supervisors of jdodd@pasadenaisd.org PISD

More information

South Carolina College- and Career-Ready Standards for Mathematics. Standards Unpacking Documents Grade 5

South Carolina College- and Career-Ready Standards for Mathematics. Standards Unpacking Documents Grade 5 South Carolina College- and Career-Ready Standards for Mathematics Standards Unpacking Documents Grade 5 South Carolina College- and Career-Ready Standards for Mathematics Standards Unpacking Documents

More information