Algebra 2- Semester 2 Review

Size: px
Start display at page:

Download "Algebra 2- Semester 2 Review"

Transcription

1 Name Block Date Algebra 2- Semester 2 Review Non-Calculator 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 and range of f (x)? d) Using anchor points, graph the function. 2. Consider the function g x x 2 1 a) Describe the transformation of the graph of y 1 x. b) Identify the asymptotes. c) What is the domain and range of g (x)? d) Using anchor points, graph the function Solve the following equation: x 4. Solve the following equation: 6x 7x 4 x 4 x 4 5. Solve the following equation: x 2 x 5 x 5 x

2 Rewrite the following expression using rational exponents: Rewrite the following expression as a radical: Simplify the following expression: 8 x Simplify the following expression: x Consider the function f x 2x. a) Describe the transformation of the graph of y x b) What is the domain and range of f (x)? c) Using anchor points, graph the function. 11. Consider the function g x x 2 4 a) Describe the transformation of the graph of y x. b) What is the domain and range of g (x)? c) Using anchor points, graph the function Solve the following equation: 4 2x Solve the following equation: 2 x Solve the following equation: x x 5

3 Evaluate the piecewise function for x = 2, x= 0, and x= 6. a. 8 if x 0 f( x) x 1 if x 5 b. 2 x x 2 if 1 x if 1 x 2 gx ( ) 10x if 2 x 5 2 x 2x if x Graph each function a. 1.5x if x 2 f( x) 2x 2 if x 2 b. 2 ( x 1) if x 1 f( x) x 1 if x Derek and his friends drove from San Francisco to Lake Tahoe to go skiing. They drove 0 minutes in the city at 0 mph and then hours on the highway at 60 mph. Using the graph, write a piecewise function for the distance d that Derek traveled.

4 Use the following functions to perform each operation. 2 g( x) x x 18 h( x) x 6 g a. ( gh)( x ) b. (g + h)(x) c. ( x) h Two spinners numbered 1 6 are spun. If all numbers are equally likely, what is the probability that the result will be two even numbers? 20. Find the probability that a point chosen at random inside the larger square shown here will also fall inside the smaller square. 6 in. 2 in Ms. Ness decided to make a bunch of flags for Flag Day using four strips of colored paper. She placed one white (W), one red (R), one black (B), and one yellow (Y) strip of paper into a bag and randomly pulls out the strips one at a time, lining them up horizontally to create a flag like the one below. Using a capital letter to represent that colored strip, create the sample space of flags made by Ms. Ness. Then, use it to find the following probabilities. a. P(of making a flag with a red strip on top and a yellow strip on bottom) b. P(of making a flag with a white strip second or third)

5 22. A bag contains 11 beads- 2 blue, yellow, and 6 red. Determine whether each event is independent or dependent. Then, find the probability. a. selecting a yellow, then a blue bead with replacement. b. selecting a yellow, then a blue bead without replacement A random table in the cafeteria is chosen. Sitting at the table is 2 freshmen, 5 sophomores, 7 juniors, and 2 seniors. A student is chosen at random from the table. What is the probability of choosing a freshmen or a senior? 24. The numbers 1 20 are written on cards and placed in a bag. Find each probability. a. choosing twenty or choosing an odd number. a. choosing a number less than ten or choosing a multiple of five Use the following set of data: {, 7, 8, 2, 6, 4}. a. Find the mean, median, mode, Q1, Q, range, and IQR. b. Make a boxplot for the data and sketch it below. c. Using the rule for non-symmetric distributions, find any outliers Determine whether each survey is likely to represent the population. EXPLAIN. a. A survey asks the members of the math club whether math classes should be required for all four years of high school.

6 b. Colorado State government sends out a survey to random Colorado City governments about the city s parking plans Classify each sample as simple random, systematic, stratified, cluster, convenience, or self-selected. a. a store owner in the mall wants to determine whether a new brand of shoes will sell in her store. She surveys random people in the mall on the weekend. b. a city councilor wants to know how residents in the city will react to a new smoking policy. He surveys residents by mailing a random sample of voters in the city. c. the director of the student theater group wants to know which of three plays will have the largest student audience. He randomly chooses 20 freshmen, 20 sophomores, 20 juniors, and 20 seniors in the hall between classes Determine whether the following situation is an experiment or an observational study. A researcher compares incomes of people who live in rural areas with incomes of people who live in large cities. 29. Explain whether the research topic is best addressed through an experiment or an observational study. Then explain how you would set up the experiment or observational study. Does reducing the fat in a particular recipe make it less appealing? Find the length of the side marked with x in each triangle below.

7 Find the exact value of each trigonometric function. Use the unit circle. 5 cos sin120 tan For each function, h x sin x and k x cos x : a. Identify the amplitude and period. b. Identify the maximum and minimum values.. Use the information above to graph each function below. 5.5 and 5.8 Calculator Solve the following inequalities using your graphing calculator to help x x x x 7 2x 1

8 A firework is launched at 20 meters per second from a 60 meter bridge. The table shows the distance, d, in meters the projectile is above the river after t seconds. Create a graph and an equation to represent the height of the firework as a function of time. y t d x 9. New members of a fitness club pay $200 to start and then $20 per month for life. Create a table and an equation that models the graph of total cost of enrollment as a function of months of participation Use constant differences or ratios to determine which parent function; linear, quadratic, or exponential, would best model the given data set. a. x y b. X y

9 41. The Fan Cost Index (FCI) tracks the cost for a family of four to attend a Major League Baseball game. The table below shows the year and the FCI for that year. Year FCI $79.41 $ $ $ $09.8 a. Write a function that models the data. b. Use your model to predict the FCI in Chapter Write a recursive and an explicit rule for the n th term of the sequence. Then find the 8 th term. a., 12, 48, 192, b. 2, 11, 20, 29, c. 4 6, 12,4,,... d. 6, 4., 2.6, 0.9, 4. Given the series 12,8,4,0,..., find the sum of the first 12 terms. 44. Given the series 0.,0.6, 1.2, , find the sum of the first 10 terms. 45. Elle is buying a graduation dress on layaway. She agrees to make a $7 down payment and increase the payment by $5 each week. What will her payment be in the 9 th week? How much money in total will Elle have paid after 9 weeks? 46. In 2002 the average tuition at a public college in the United States was $06. The average tuition increases by about 6% per year. If Joe starts college in 2002, how much is the tuition for his senior year in 2005? How much tuition does Joe pay in total for his four years of college?

10 47. Find the number of terms in the sequence 12, 7, 2, Which term is 1227 in the arithmetic sequence, 9, 15, 21, The door code to get into a top-secret laboratory is 6 digits. The first digits of the code are all odd and the last digits are all even. Digits can be used more than once. How many possible codes are there to gain access to this laboratory? 50. The principal of the high school selects 4 Merit Scholars to attend a Town Council meeting. If there are a total of 12 Merit Scholars at the school, in how many ways can the students be selected? 51. Holly wants to choose 5 different decorative tiles out of 8. If she plans to place the 5 tiles in a row, end to end, in how many different ways can she arrange them, from left to right? A bowl contains 6 blue, 75 green, and 19 yellow jelly beans. What is the probability of randomly selecting a green jelly bean? The following table shows the results of a school-wide survey on the homecoming dance. Find the probability of each event. Homecoming Dance Location Survey Girls Boys Gymnasium a. that a student prefers the cafeteria given that they re a girl. Cafeteria 5 7 b. that a surveyed student is male and prefers the gymnasium.

11 Students and teachers at a school were polled to see if they were in favor of extending the parking lot into part of the athletic fields. The results of the poll are shown in the two-way table below. In Favor Not in Favor Students 16 2 Teachers 9 14 a. Create a table of the joint and marginal relative frequencies. b. P(not in favor)= c. P(students and in favor)= 7.5 d. P(in favor teacher)= 55. In an apartment building with 50 residents, 16 of them have cats, 28 of them are students, and 9 of the students have cats. a. Make a two-way table or a Venn diagram to represent this situation. b. Use the table and/or diagram to find the following probabilities: a. P(student)= b. P(student and has a cat)= c. P(student or has a cat)= 56. There are 8 couples in a dance competition. Each of 4 judges must pick the couple they believe should win. Suppose the judges pick at random. What is the probability that at least 2 of the judges picked the same couple?

12 a. Find the mean, median, mode, Q1, Q, range, IQR, variance, and standard deviation for: {12, 15, 18, 10, 9, 15, 16} b. Using the rule for symmetric distributions, are there any outliers in the data set? SHOW WORK! 58. Given the following table, find the expected value of the raffle prize. Raffle Prizes Value $0 $5 $20 $200 Probability In a survey of 100 town residents, 6 said they prefer the library s new hours. If you were able to survey all of the 2,000 town residents, how many would you expect to prefer the library s new hours? Determine whether the survey clearly projects the winner. Explain your response. A website had users vote for their favorite of three dog photos. 5% voted for photo 1 and 47% voted for photo. The margin of error is ± 9%. 8.7 z Area Scores on the Wechsler Adult Intelligence Scale (a standard "IQ" test) for the 20 to 4 age group are approximately normally distributed with a mean of 110 and a standard deviation of 25. Find each of the following probabilities: a. that a randomly selected adult 20 4 scores below 15. b. that a randomly selected adult 20 4 scores above 160.

13 c. that a randomly selected adult 20 4 scores between 97.5 and d. that a randomly selected adult 20 4 scores below 72.5 or above Below are the test grades for two different sections of AP Statistics on the same randomly picked chapter. 1st Class 2nd Class a. State the null hypothesis. b. Compare the results of the two groups. Does it appear that one class does significantly better in AP Stat than the other? 6. A cereal manufacturer sells boxes of cereal that list the weight as 20 oz., with standard deviation A random sample of 60 boxes was weighed and a mean of 19.9 oz. resulted. Is there enough evidence to reject the manufacturer s claim? For the triangle at the right, find sin,cos, and tan. J θ 9 K Kayla is fishing near the ferry landing near her home. She wonders how far the ferries actually travel when they cross the river. To find out, she puts a fishing pole upright on the riverbank directly across from the ferry landing. Then she walks down the bank 180 yards and measures an angle of 75 between the lines to her fishing pole and the ferry landing on the opposite bank. Find the distance, to the nearest yard, directly across the river. L

14 10.2 and Draw an angle with the given measure in standard position. Then find (a) a positive co-terminal angle, (b) a negative co-terminal angle, and (c) the reference angle Convert from radians to degrees or degrees to radians

Chapters 1-5 Cumulative Assessment AP Statistics November 2008 Gillespie, Block 4

Chapters 1-5 Cumulative Assessment AP Statistics November 2008 Gillespie, Block 4 Chapters 1-5 Cumulative Assessment AP Statistics Name: November 2008 Gillespie, Block 4 Part I: Multiple Choice This portion of the test will determine 60% of your overall test grade. Each question is

More information

Name: Class: Date: ID: A

Name: Class: Date: ID: A Name: Class: _ Date: _ Test Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Members of a high school club sold hamburgers at a baseball game to

More information

STT 231 Test 1. Fill in the Letter of Your Choice to Each Question in the Scantron. Each question is worth 2 point.

STT 231 Test 1. Fill in the Letter of Your Choice to Each Question in the Scantron. Each question is worth 2 point. STT 231 Test 1 Fill in the Letter of Your Choice to Each Question in the Scantron. Each question is worth 2 point. 1. A professor has kept records on grades that students have earned in his class. If he

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

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

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

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

Probability and Statistics Curriculum Pacing Guide

Probability and Statistics Curriculum Pacing Guide Unit 1 Terms PS.SPMJ.3 PS.SPMJ.5 Plan and conduct a survey to answer a statistical question. Recognize how the plan addresses sampling technique, randomization, measurement of experimental error and methods

More information

Statistical Studies: Analyzing Data III.B Student Activity Sheet 7: Using Technology

Statistical Studies: Analyzing Data III.B Student Activity Sheet 7: Using Technology Suppose data were collected on 25 bags of Spud Potato Chips. The weight (to the nearest gram) of the chips in each bag is listed below. 25 28 23 26 23 25 25 24 24 27 23 24 28 27 24 26 24 25 27 26 25 26

More information

Student s Edition. Grade 6 Unit 6. Statistics. Eureka Math. Eureka Math

Student s Edition. Grade 6 Unit 6. Statistics. Eureka Math. Eureka Math Student s Edition Grade 6 Unit 6 Statistics Eureka Math Eureka Math Lesson 1 Lesson 1: Posing Statistical Questions Statistics is about using data to answer questions. In this module, the following four

More information

AP Statistics Summer Assignment 17-18

AP Statistics Summer Assignment 17-18 AP Statistics Summer Assignment 17-18 Welcome to AP Statistics. This course will be unlike any other math class you have ever taken before! Before taking this course you will need to be competent in basic

More information

Left, Left, Left, Right, Left

Left, Left, Left, Right, Left Lesson.1 Skills Practice Name Date Left, Left, Left, Right, Left Compound Probability for Data Displayed in Two-Way Tables Vocabulary Write the term that best completes each statement. 1. A two-way table

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

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

Quantitative Research Questionnaire

Quantitative Research Questionnaire Quantitative Research Questionnaire Surveys are used in practically all walks of life. Whether it is deciding what is for dinner or determining which Hollywood film will be produced next, questionnaires

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

MINUTE TO WIN IT: NAMING THE PRESIDENTS OF THE UNITED STATES

MINUTE TO WIN IT: NAMING THE PRESIDENTS OF THE UNITED STATES MINUTE TO WIN IT: NAMING THE PRESIDENTS OF THE UNITED STATES THE PRESIDENTS OF THE UNITED STATES Project: Focus on the Presidents of the United States Objective: See how many Presidents of the United States

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

Simple Random Sample (SRS) & Voluntary Response Sample: Examples: A Voluntary Response Sample: Examples: Systematic Sample Best Used When

Simple Random Sample (SRS) & Voluntary Response Sample: Examples: A Voluntary Response Sample: Examples: Systematic Sample Best Used When Simple Random Sample (SRS) & Voluntary Response Sample: In statistics, a simple random sample is a group of people who have been chosen at random from the general population. A simple random sample is

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

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

Standard 1: Number and Computation

Standard 1: Number and Computation Standard 1: Number and Computation Standard 1: Number and Computation The student uses numerical and computational concepts and procedures in a variety of situations. Benchmark 1: Number Sense The student

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

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

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

Mathacle PSet Stats, Concepts in Statistics and Probability Level Number Name: Date:

Mathacle PSet Stats, Concepts in Statistics and Probability Level Number Name: Date: 1 st Quarterly Exam ~ Sampling, Designs, Exploring Data and Regression Part 1 Review I. SAMPLING MC I-1.) [APSTATSMC2014-6M] Approximately 52 percent of all recent births were boys. In a simple random

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

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

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

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

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

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

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

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

The Good Judgment Project: A large scale test of different methods of combining expert predictions

The Good Judgment Project: A large scale test of different methods of combining expert predictions The Good Judgment Project: A large scale test of different methods of combining expert predictions Lyle Ungar, Barb Mellors, Jon Baron, Phil Tetlock, Jaime Ramos, Sam Swift The University of Pennsylvania

More information

Dublin City Schools Mathematics Graded Course of Study GRADE 4

Dublin City Schools Mathematics Graded Course of Study GRADE 4 I. Content Standard: Number, Number Sense and Operations Standard Students demonstrate number sense, including an understanding of number systems and reasonable estimates using paper and pencil, technology-supported

More information

Edexcel GCSE. Statistics 1389 Paper 1H. June Mark Scheme. Statistics Edexcel GCSE

Edexcel GCSE. Statistics 1389 Paper 1H. June Mark Scheme. Statistics Edexcel GCSE Edexcel GCSE Statistics 1389 Paper 1H June 2007 Mark Scheme Edexcel GCSE Statistics 1389 NOTES ON MARKING PRINCIPLES 1 Types of mark M marks: method marks A marks: accuracy marks B marks: unconditional

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

Hardhatting in a Geo-World

Hardhatting in a Geo-World Hardhatting in a Geo-World TM Developed and Published by AIMS Education Foundation This book contains materials developed by the AIMS Education Foundation. AIMS (Activities Integrating Mathematics and

More information

One Way Draw a quick picture.

One Way Draw a quick picture. Name Multiply Tens, Hundreds, and Thousands Essential Question How does understanding place value help you multiply tens, hundreds, and thousands? Lesson 2.3 Number and Operations in Base Ten 4.NBT.5 Also

More information

About How Good is Estimation? Assessment Materials Page 1 of 12

About How Good is Estimation? Assessment Materials Page 1 of 12 About How Good is Estimation? Assessment Name: Multiple Choice. 1 point each. 1. Which unit of measure is most appropriate for the area of a small rug? a) feet b) yards c) square feet d) square yards 2.

More information

The following shows how place value and money are related. ones tenths hundredths thousandths

The following shows how place value and money are related. ones tenths hundredths thousandths 2-1 The following shows how place value and money are related. ones tenths hundredths thousandths (dollars) (dimes) (pennies) (tenths of a penny) Write each fraction as a decimal and then say it. 1. 349

More information

Sight Word Assessment

Sight Word Assessment Make, Take & Teach Sight Word Assessment Assessment and Progress Monitoring for the Dolch 220 Sight Words What are sight words? Sight words are words that are used frequently in reading and writing. Because

More information

EDEXCEL FUNCTIONAL SKILLS PILOT. Maths Level 2. Chapter 7. Working with probability

EDEXCEL FUNCTIONAL SKILLS PILOT. Maths Level 2. Chapter 7. Working with probability Working with probability 7 EDEXCEL FUNCTIONAL SKILLS PILOT Maths Level 2 Chapter 7 Working with probability SECTION K 1 Measuring probability 109 2 Experimental probability 111 3 Using tables to find the

More information

Spinners at the School Carnival (Unequal Sections)

Spinners at the School Carnival (Unequal Sections) Spinners at the School Carnival (Unequal Sections) Maryann E. Huey Drake University maryann.huey@drake.edu Published: February 2012 Overview of the Lesson Students are asked to predict the outcomes of

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

Measures of the Location of the Data

Measures of the Location of the Data OpenStax-CNX module m46930 1 Measures of the Location of the Data OpenStax College This work is produced by OpenStax-CNX and licensed under the Creative Commons Attribution License 3.0 The common measures

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Ch 2 Test Remediation Work Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) High temperatures in a certain

More information

Page 1 of 11. Curriculum Map: Grade 4 Math Course: Math 4 Sub-topic: General. Grade(s): None specified

Page 1 of 11. Curriculum Map: Grade 4 Math Course: Math 4 Sub-topic: General. Grade(s): None specified Curriculum Map: Grade 4 Math Course: Math 4 Sub-topic: General Grade(s): None specified Unit: Creating a Community of Mathematical Thinkers Timeline: Week 1 The purpose of the Establishing a Community

More information

Grade 2: Using a Number Line to Order and Compare Numbers Place Value Horizontal Content Strand

Grade 2: Using a Number Line to Order and Compare Numbers Place Value Horizontal Content Strand Grade 2: Using a Number Line to Order and Compare Numbers Place Value Horizontal Content Strand Texas Essential Knowledge and Skills (TEKS): (2.1) Number, operation, and quantitative reasoning. The student

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

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

Numeracy Medium term plan: Summer Term Level 2C/2B Year 2 Level 2A/3C

Numeracy Medium term plan: Summer Term Level 2C/2B Year 2 Level 2A/3C Numeracy Medium term plan: Summer Term Level 2C/2B Year 2 Level 2A/3C Using and applying mathematics objectives (Problem solving, Communicating and Reasoning) Select the maths to use in some classroom

More information

STAT 220 Midterm Exam, Friday, Feb. 24

STAT 220 Midterm Exam, Friday, Feb. 24 STAT 220 Midterm Exam, Friday, Feb. 24 Name Please show all of your work on the exam itself. If you need more space, use the back of the page. Remember that partial credit will be awarded when appropriate.

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

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

May To print or download your own copies of this document visit Name Date Eurovision Numeracy Assignment

May To print or download your own copies of this document visit  Name Date Eurovision Numeracy Assignment 1. An estimated one hundred and twenty five million people across the world watch the Eurovision Song Contest every year. Write this number in figures. 2. Complete the table below. 2004 2005 2006 2007

More information

Technical Manual Supplement

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

More information

Contents. Foreword... 5

Contents. Foreword... 5 Contents Foreword... 5 Chapter 1: Addition Within 0-10 Introduction... 6 Two Groups and a Total... 10 Learn Symbols + and =... 13 Addition Practice... 15 Which is More?... 17 Missing Items... 19 Sums with

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

Unit 2. A whole-school approach to numeracy across the curriculum

Unit 2. A whole-school approach to numeracy across the curriculum Unit 2 A whole-school approach to numeracy across the curriculum 50 Numeracy across the curriculum Unit 2 Crown copyright 2001 Unit 2 A whole-school approach to numeracy across the curriculum Objectives

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

Function Tables With The Magic Function Machine

Function Tables With The Magic Function Machine Brief Overview: Function Tables With The Magic Function Machine s will be able to complete a by applying a one operation rule, determine a rule based on the relationship between the input and output within

More information

Activities for School

Activities for School Activities for School Label the School Label the school in the target language and then do a hide-n-seek activity using the directions in the target language. Label the Classroom I label my room (these

More information

Arizona s College and Career Ready Standards Mathematics

Arizona s College and Career Ready Standards Mathematics Arizona s College and Career Ready Mathematics Mathematical Practices Explanations and Examples First Grade ARIZONA DEPARTMENT OF EDUCATION HIGH ACADEMIC STANDARDS FOR STUDENTS State Board Approved June

More information

NUMBERS AND OPERATIONS

NUMBERS AND OPERATIONS SAT TIER / MODULE I: M a t h e m a t i c s NUMBERS AND OPERATIONS MODULE ONE COUNTING AND PROBABILITY Before You Begin When preparing for the SAT at this level, it is important to be aware of the big picture

More information

Shockwheat. Statistics 1, Activity 1

Shockwheat. Statistics 1, Activity 1 Statistics 1, Activity 1 Shockwheat Students require real experiences with situations involving data and with situations involving chance. They will best learn about these concepts on an intuitive or informal

More information

Unit 3: Lesson 1 Decimals as Equal Divisions

Unit 3: Lesson 1 Decimals as Equal Divisions Unit 3: Lesson 1 Strategy Problem: Each photograph in a series has different dimensions that follow a pattern. The 1 st photo has a length that is half its width and an area of 8 in². The 2 nd is a square

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

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

Functional Maths Skills Check E3/L x

Functional Maths Skills Check E3/L x Functional Maths Skills Check E3/L1 Name: Date started: The Four Rules of Number + - x May 2017. Kindly contributed by Nicola Smith, Gloucestershire College. Search for Nicola on skillsworkshop.org Page

More information

learning collegiate assessment]

learning collegiate assessment] [ collegiate learning assessment] INSTITUTIONAL REPORT 2005 2006 Kalamazoo College council for aid to education 215 lexington avenue floor 21 new york new york 10016-6023 p 212.217.0700 f 212.661.9766

More information

Ohio s Learning Standards-Clear Learning Targets

Ohio s Learning Standards-Clear Learning Targets Ohio s Learning Standards-Clear Learning Targets Math Grade 1 Use addition and subtraction within 20 to solve word problems involving situations of 1.OA.1 adding to, taking from, putting together, taking

More information

After your registration is complete and your proctor has been approved, you may take the Credit by Examination for MATH 6A.

After your registration is complete and your proctor has been approved, you may take the Credit by Examination for MATH 6A. MATH 6A Mathematics, Grade 6, First Semester #03 (v.3.0) To the Student: After your registration is complete and your proctor has been approved, you may take the Credit by Examination for MATH 6A. WHAT

More information

Lesson 12. Lesson 12. Suggested Lesson Structure. Round to Different Place Values (6 minutes) Fluency Practice (12 minutes)

Lesson 12. Lesson 12. Suggested Lesson Structure. Round to Different Place Values (6 minutes) Fluency Practice (12 minutes) Objective: Solve multi-step word problems using the standard addition reasonableness of answers using rounding. Suggested Lesson Structure Fluency Practice Application Problems Concept Development Student

More information

Enhancing Students Understanding Statistics with TinkerPlots: Problem-Based Learning Approach

Enhancing Students Understanding Statistics with TinkerPlots: Problem-Based Learning Approach Enhancing Students Understanding Statistics with TinkerPlots: Problem-Based Learning Approach Krongthong Khairiree drkrongthong@gmail.com International College, Suan Sunandha Rajabhat University, Bangkok,

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

MGF 1106 Final Exam Review / (sections )

MGF 1106 Final Exam Review / (sections ) MGF 1106 Final Exam Review / (sections ---------) Time of Common Final Exam: Place of Common Final Exam (Sections ----------- only): --------------- Those students with a final exam conflict (with another

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

The Evolution of Random Phenomena

The Evolution of Random Phenomena The Evolution of Random Phenomena A Look at Markov Chains Glen Wang glenw@uchicago.edu Splash! Chicago: Winter Cascade 2012 Lecture 1: What is Randomness? What is randomness? Can you think of some examples

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

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

Math-U-See Correlation with the Common Core State Standards for Mathematical Content for Third Grade

Math-U-See Correlation with the Common Core State Standards for Mathematical Content for Third Grade Math-U-See Correlation with the Common Core State Standards for Mathematical Content for Third Grade The third grade standards primarily address multiplication and division, which are covered in Math-U-See

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

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

Digital Fabrication and Aunt Sarah: Enabling Quadratic Explorations via Technology. Michael L. Connell University of Houston - Downtown

Digital Fabrication and Aunt Sarah: Enabling Quadratic Explorations via Technology. Michael L. Connell University of Houston - Downtown Digital Fabrication and Aunt Sarah: Enabling Quadratic Explorations via Technology Michael L. Connell University of Houston - Downtown Sergei Abramovich State University of New York at Potsdam Introduction

More information

1.11 I Know What Do You Know?

1.11 I Know What Do You Know? 50 SECONDARY MATH 1 // MODULE 1 1.11 I Know What Do You Know? A Practice Understanding Task CC BY Jim Larrison https://flic.kr/p/9mp2c9 In each of the problems below I share some of the information that

More information

ACTIVITY: Comparing Combination Locks

ACTIVITY: Comparing Combination Locks 5.4 Compound Events outcomes of one or more events? ow can you find the number of possible ACIVIY: Comparing Combination Locks Work with a partner. You are buying a combination lock. You have three choices.

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

The Editor s Corner. The. Articles. Workshops. Editor. Associate Editors. Also In This Issue

The Editor s Corner. The. Articles. Workshops.  Editor. Associate Editors. Also In This Issue The S tatistics T eacher N etwork www.amstat.org/education/stn Number 73 ASA/NCTM Joint Committee on the Curriculum in Statistics and Probability Fall 2008 The Editor s Corner We hope you enjoy Issue 73

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

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

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

A 1,200 B 1,300 C 1,500 D 1,700

A 1,200 B 1,300 C 1,500 D 1,700 North arolina Testing Program EOG Mathematics Grade Sample Items Goal. There are eighty-six thousand four hundred seconds in a day. How else could this number be written? 80,06. Jenny s vacation money

More information

Helping Your Children Learn in the Middle School Years MATH

Helping Your Children Learn in the Middle School Years MATH Helping Your Children Learn in the Middle School Years MATH Grade 7 A GUIDE TO THE MATH COMMON CORE STATE STANDARDS FOR PARENTS AND STUDENTS This brochure is a product of the Tennessee State Personnel

More information

CAAP. Content Analysis Report. Sample College. Institution Code: 9011 Institution Type: 4-Year Subgroup: none Test Date: Spring 2011

CAAP. Content Analysis Report. Sample College. Institution Code: 9011 Institution Type: 4-Year Subgroup: none Test Date: Spring 2011 CAAP Content Analysis Report Institution Code: 911 Institution Type: 4-Year Normative Group: 4-year Colleges Introduction This report provides information intended to help postsecondary institutions better

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

Airplane Rescue: Social Studies. LEGO, the LEGO logo, and WEDO are trademarks of the LEGO Group The LEGO Group.

Airplane Rescue: Social Studies. LEGO, the LEGO logo, and WEDO are trademarks of the LEGO Group The LEGO Group. Airplane Rescue: Social Studies LEGO, the LEGO logo, and WEDO are trademarks of the LEGO Group. 2010 The LEGO Group. Lesson Overview The students will discuss ways that people use land and their physical

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