# Test 4 Sample Problem Solutions, = , 7 5, = = 1.4. Moving the decimal two spots to the left gives

Save this PDF as:

Size: px
Start display at page:

Download "Test 4 Sample Problem Solutions, 27.58 = 27 47 100, 7 5, 1 6. 5 = 14 10 = 1.4. Moving the decimal two spots to the left gives"

## Transcription

1 Test 4 Sample Problem Solutions Convert from a decimal to a fraction: 0.023, 27.58, For the first two we have = 23 58, = For the last, if we set x = , then 10x = Subtracting gives 9x = 7, so that x = 7 9. Convert from a fraction to a decimal: , 7 5, 1 6. For the first two we have = 0.47, 7 5 = = 1.4. For the last we do the division, obtaining 1 6 = Convert from a percent to a decimal: 37%, 162%, 0.7%. Moving the decimal two spots to the left gives 37% = 0.37, 162% = 1.62, 0.7% = Convert from a percent to a fraction: 11%, 23.4%, 100%. We convert from a percent to a decimal and then to a fraction: 11% = 0.11 = , 23.4% = =, 100% = Convert from a decimal to a percent: 0.28, 0.062, 3.2. Moving the decimal two spots to the right gives 0.28 = 28%, = 6.2%, 3.2 = 320%. Convert from a fraction to a percent: , 4 5, 2 3.

2 We convert from a fraction to a decimal and then to a percent: = 0.73 = 73%, 4 5 = 8 10 = 0.8 = 80%, 2 = = %. 3 Write these decimals in expanded form: 23.64, 0.028, = , = , = Arrange these decimals in order from smallest to largest: 0.37, 0.6, Writing them with the same number of decimal places gives 0.370, 0.600, and 0.073, at which point the order becomes clear: 0.073,0.370, Compute: ; ; ; , 9.61, , 5.75 A fruit basket contains five apples, eight oranges, and ten bananas. What fraction of the fruit is apples? What is the ratio of apples to bananas? What fraction of the fruit is not oranges? Apples to total is Apples to bananas is 5 10 = 1 2. Not-oranges to total is Solve for x: x 35 = 2 7 ; = 30 x. Cros multiplying gives 7x = 70 so that x = 10. For the second we have 45x = 3000 so x = = = A family uses 5 gallons of milk every 3 weeks. How many gallons will they need to purchase over a 2 month period? (Assume 30 days in a month.)

3 They use five gallons in 21 days and x gallons in 60 days. This gives the proportion 5 21 = x, which we solve by cross-multiplying, obtaining 60 21x = 300, so x = = On a map, 1/3 inch equals 15 miles. The distance between two towns on a map is inches. How many miles are actually between the two towns? Since 1/3 of an inch corresponds to 15 miles and to x miles, we have the equation inches corresponds 1/3 15 = 32 3 x. Cross-multiplying gives x 3 = 55 so that x = 165 miles. It takes 10,000 silkworms to make one pound of silk. How many silkworms are needed to make one ounce of silk? (There are 16 ounces in a pound.) We know that 10,000 worms make 16 ounces and x worms make one ounce. So we have the equation 10,000 = x, so x = 10,000/16 = 625 worms Find 23% of = 18.4 Find 400% of = 12 Find 1 % of Since 1/5 = 0.2, we have that 1/5% = 0.2% = So = 0.1 A dress costs \$75 but is on sale for 30% off. What is the new price?

4 Thirty percent of 75 is.3 75 = 22.5, so the new price is = 52.5, which is \$ A dress is on sale for \$50, after having been marked down by 10%. What was the original price? If you take 10% off the original price, the new sale price is 90% the original. Thus the question is, 50 is 90% of what? This leads to the equation.9 P = 50, so that P = \$ Model the following using colored chips. Do each of them in two ways: as a subtraction problem and as an addition problem where the second number is negative: 7 5; 5 7; 3 2; 3 5. For 7 5, we begin with seven chips and take five away, leaving two chips remaining. For 7+( 5) we begin with seven chips and add five chips. Since this gives us mixed chips, we remove them a / pair at a time, leaving two chips remaining. For 5 7 we begin with five chips and we want to take away seven chips. Since we re two chips short, we add two / pairs, allowing us now to remove the seven chips. When this is done, two chips remain. For 5+( 7) we begin with five chips and add seven chips. Removing / pairs leaves two chips. For 3 2 we begin with three chips and we want to take away two chips. So we add two / pairs and then remove the two chips, leaving five chips. For 3+( 2) we begin with three chips and add two chips, giving five chips. For 3 5 we begin with three chips and we want to take away five chips. So we add five / pairs and then take away five chips, leaving eight chips. For 3+( 5) we begin with three chips and add five chips, giving eight chips. Explain how to compute the following: ( 3) (2) ( 4).

5 We think of 3 as 1 3 and 4 as 1 4, making this product ( 1 3) 2 ( 1 4). Since this is just a sequence of several products, and multiplication is associative, we can ignore the parentheses. Also, since multiplication is commutative, we can move the 1 terms to the front. The product then becomes ( 1 1) (3 2 4) = This explains why we can multiply these numbers ignoring the negative signs to obtain 24, and then just count the negative signs (odd gives negative, even gives positive).

### Grade 4 - Module 5: Fraction Equivalence, Ordering, and Operations

Grade 4 - Module 5: Fraction Equivalence, Ordering, and Operations Benchmark (standard or reference point by which something is measured) Common denominator (when two or more fractions have the same denominator)

### Math Review. for the Quantitative Reasoning Measure of the GRE revised General Test

Math Review for the Quantitative Reasoning Measure of the GRE revised General Test www.ets.org Overview This Math Review will familiarize you with the mathematical skills and concepts that are important

### MEP Y9 Practice Book A

1 Base Arithmetic 1.1 Binary Numbers We normally work with numbers in base 10. In this section we consider numbers in base 2, often called binary numbers. In base 10 we use the digits 0, 1, 2, 3, 4, 5,

### Autumn 1 Maths Overview. Year groups Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 1 Number and place value. Counting. 2 Sequences and place value.

Autumn 1 Maths Overview. Year groups Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 1 Number and place Counting. 2 Sequences and place Number facts and counting. Money and time. Length, position and

### Accuplacer Arithmetic Study Guide

Accuplacer Arithmetic Study Guide Section One: Terms Numerator: The number on top of a fraction which tells how many parts you have. Denominator: The number on the bottom of a fraction which tells how

### FSCJ PERT. Florida State College at Jacksonville. assessment. and Certification Centers

FSCJ Florida State College at Jacksonville Assessment and Certification Centers PERT Postsecondary Education Readiness Test Study Guide for Mathematics Note: Pages through are a basic review. Pages forward

### Major Work of the Grade

Counting and Cardinality Know number names and the count sequence. Count to tell the number of objects. Compare numbers. Kindergarten Describe and compare measurable attributes. Classify objects and count

### Customary Length, Weight, and Capacity

15 CHAPTER Lesson 15.1 Customary Length, Weight, and Capacity Measuring Length Measure each object to the nearest inch. 1. The crayon is about inches long. 2. 3. The toothbrush is about The rope is about

### PowerScore Test Preparation (800) 545-1750

Question 1 Test 1, Second QR Section (version 1) List A: 0, 5,, 15, 20... QA: Standard deviation of list A QB: Standard deviation of list B Statistics: Standard Deviation Answer: The two quantities are

### Algebra I Credit Recovery

Algebra I Credit Recovery COURSE DESCRIPTION: The purpose of this course is to allow the student to gain mastery in working with and evaluating mathematical expressions, equations, graphs, and other topics,

### Bake Cookies Day (Dec. 18) Meeting (Multiple Topics)

Bake Cookies Day (Dec. 18) Meeting (Multiple Topics) Topic This meeting s problems cover a variety of topics. However, there is a heavy emphasis on proportional reasoning. Materials Needed Copies of the

### Possible Stage Two Mathematics Test Topics

Possible Stage Two Mathematics Test Topics The Stage Two Mathematics Test questions are designed to be answerable by a good problem-solver with a strong mathematics background. It is based mainly on material

### Introduction to Decimals

Introduction to Decimals Reading and Writing Decimals: Note: There is a relationship between fractions and numbers written in decimal notation. Three-tenths 10 0. 1 zero 1 decimal place Three- 0. 0 100

### ( )( ax b) ( ) 2. x 2 10x + 25 = (x 5) 2. 9x 2 + 12x + 4 = (3x + 2) 2. x 2 6x + 9 = (x 3) 2. 4x 2 + 20x + 25 = (2x + 5) 2

FACTORING SHORTCUTS.. Although most factoring problems can be done with generic rectangles, there are two special factoring patterns that, if recognized, can be done by sight. The two patterns are known

### Fractions Packet. Contents

Fractions Packet Contents Intro to Fractions.. page Reducing Fractions.. page Ordering Fractions page Multiplication and Division of Fractions page Addition and Subtraction of Fractions.. page Answer Keys..

### Medium term Plans for Spring Year 5

Medium term Plans for Spring Year 5 Help these children be in a better position to achieve good results in the Y6 Sats in 2015. Although these tests will officially be based on the old curriculum, it is

### Permission is given for the making of copies for use in the home or classroom of the purchaser only.

Copyright 2005 Second Edition 2008 Teresa Evans. All rights reserved. Permission is given for the making of copies for use in the home or classroom of the purchaser only. Part 1 Math Card Games to Play

### A Second Course in Mathematics Concepts for Elementary Teachers: Theory, Problems, and Solutions

A Second Course in Mathematics Concepts for Elementary Teachers: Theory, Problems, and Solutions Marcel B. Finan Arkansas Tech University c All Rights Reserved First Draft February 8, 2006 1 Contents 25

### Mental Math Grade 3 MM 3-3 MM 3-1. Count by tens. What comes next? 1. Start at 30... (40) 1. Write the number that is 5 tens and 2 ones.

MM 3-1 Count by tens. What comes next? 1. Start at 30... (40) 2. Start at 60... (70) 3. Start at 20... (30) 4. What is 40 + 30 = (70) 5. What is 30 + 60 = (90) 6. What are the next 3 numbers? 2, 4, 6,

### Cost-Volume-Profit Analysis

Chapter 6 Notes Page 1 Cost-Volume-Profit Analysis Understanding the relationship between a firm s costs, profits and its volume levels is very important for strategic planning. When you are considering

### Just want the standards alone? You can find the standards alone at www.corestandards.org. 7 th Grade Mathematics Unpacked Content February, 2012

7 th Grade Mathematics Unpacked Content For the new Common Core standards that will be effective in all North Carolina schools in the 2012-13 School Year. This document is designed to help North Carolina

### EVERY DAY COUNTS CALENDAR MATH 2005 correlated to

EVERY DAY COUNTS CALENDAR MATH 2005 correlated to Illinois Mathematics Assessment Framework Grades 3-5 E D U C A T I O N G R O U P A Houghton Mifflin Company YOUR ILLINOIS GREAT SOURCE REPRESENTATIVES:

### Illinois State Standards Alignments Grades Three through Eleven

Illinois State Standards Alignments Grades Three through Eleven Trademark of Renaissance Learning, Inc., and its subsidiaries, registered, common law, or pending registration in the United States and other

### Math Journal HMH Mega Math. itools Number

Lesson 1.1 Algebra Number Patterns CC.3.OA.9 Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. Identify and

Grades -8 Mathematics Training Test Answer Key 04 . Factor 6x 9. A (3x 9) B 3(x 3) C 3(3x ) D 6(x 9) Option A is incorrect because the common factor of both terms is not and the expression is not factored

### From the Webisode: Math Meets Culinary Arts

lesson Connections to the Core Scaling Up From the Webisode: Math Meets Culinary Arts In this lesson, s solve a multi-step problem by using ratio and rate reasoning to scale for large quantities and compare

### Measurement/Volume and Surface Area Long-Term Memory Review Grade 7, Standard 3.0 Review 1

Review 1 1. Explain how to convert from a larger unit of measurement to a smaller unit of measurement. Include what operation(s) would be used to make the conversion. 2. What basic metric unit would be

### Formula for Theoretical Probability

Notes Name: Date: Period: Probability I. Probability A. Vocabulary is the chance/ likelihood of some event occurring. Ex) The probability of rolling a for a six-faced die is 6. It is read as in 6 or out

### 4 th Grade Summer Mathematics Review #1. Name: 1. How many sides does each polygon have? 2. What is the rule for this function machine?

. How many sides does each polygon have? th Grade Summer Mathematics Review #. What is the rule for this function machine? A. Pentagon B. Nonagon C. Octagon D. Quadrilateral. List all of the factors of

### Answer: Quantity A is greater. Quantity A: 0.717 0.717717... Quantity B: 0.71 0.717171...

Test : First QR Section Question 1 Test, First QR Section In a decimal number, a bar over one or more consecutive digits... QA: 0.717 QB: 0.71 Arithmetic: Decimals 1. Consider the two quantities: Answer:

### COLLEGE ALGEBRA 10 TH EDITION LIAL HORNSBY SCHNEIDER 1.1-1

10 TH EDITION COLLEGE ALGEBRA LIAL HORNSBY SCHNEIDER 1.1-1 1.1 Linear Equations Basic Terminology of Equations Solving Linear Equations Identities 1.1-2 Equations An equation is a statement that two expressions

### Big Ideas in Mathematics

Big Ideas in Mathematics which are important to all mathematics learning. (Adapted from the NCTM Curriculum Focal Points, 2006) The Mathematics Big Ideas are organized using the PA Mathematics Standards

### Basic Pre Algebra Intervention Program

Basic Pre Algebra Intervention Program This 9 lesson Intervention Plan is designed to provide extra practice lessons and activities for students in Pre Algebra. The skills covered are basics that must

### DesCartes (Combined) Subject: Mathematics Goal: Statistics and Probability

DesCartes (Combined) Subject: Mathematics Goal: Statistics and Probability RIT Score Range: Below 171 Below 171 Data Analysis and Statistics Solves simple problems based on data from tables* Compares

### hp calculators HP 35s Temperature Conversions Metric units and Imperial units Conversion keys

Metric units and Imperial units Conversion keys Practice working problems involving temperature conversions Conversion of temperatures and conversion of temperature differences Other temperature scales

### Don t worry! There is no right or wrong answer.be honest so that I can figure out the best way to help you next year!

AP Environmental Science Summer Assignment 2016-2017 Mrs. Carlson, rcarlson@g.aledoisd.org Welcome to AP Environmental Science! This class is highly intensive, with a lot of material that needs to be covered.

### Keystone National Middle School Math Level 7 Placement Exam

Keystone National Middle School Math Level 7 Placement Exam ) Erica bought a car for \$,000. She had to add Pennsylvania s sales tax of 6%. The total price of the car is closest to? \$,00 \$6,000 \$,000 \$,000

### Indiana State Core Curriculum Standards updated 2009 Algebra I

Indiana State Core Curriculum Standards updated 2009 Algebra I Strand Description Boardworks High School Algebra presentations Operations With Real Numbers Linear Equations and A1.1 Students simplify and

### PERT Computerized Placement Test

PERT Computerized Placement Test REVIEW BOOKLET FOR MATHEMATICS Valencia College Orlando, Florida Prepared by Valencia College Math Department Revised April 0 of 0 // : AM Contents of this PERT Review

### SOLVING PROBLEMS. As outcomes, Year 4 pupils should, for example: Pupils should be taught to:

SOLVING PROBLEMS Pupils should be taught to: Choose and use appropriate number operations and appropriate ways of calculating (mental, mental with jottings, written methods, calculator) to solve problems

### Sample Problems. Practice Problems

Lecture Notes Factoring by the AC-method page 1 Sample Problems 1. Completely factor each of the following. a) 4a 2 mn 15abm 2 6abmn + 10a 2 m 2 c) 162a + 162b 2ax 4 2bx 4 e) 3a 2 5a 2 b) a 2 x 3 b 2 x

### Square Roots and Other Radicals

Radicals - Definition Radicals, or roots, are the opposite operation of applying exponents. A power can be undone with a radical and a radical can be undone with a power. For example, if you square 2,

### Lesson 4. Solving Word Problems Using Unit Rates. How much for just one? Problem Solving: Problem Solving: Solving Word Problems Using Unit Rates

Problem Solving: Solving Word Problems Using Unit Rates Problem Solving: Solving Word Problems Using Unit Rates How much for just one? Often we may want to know the value of just one of something. The

### DesCartes (Combined) Subject: Mathematics Goal: Data Analysis, Statistics, and Probability

DesCartes (Combined) Subject: Mathematics Goal: Data Analysis, Statistics, and Probability RIT Score Range: Below 171 Below 171 171-180 Data Analysis and Statistics Data Analysis and Statistics Solves

### Algebra I. In this technological age, mathematics is more important than ever. When students

In this technological age, mathematics is more important than ever. When students leave school, they are more and more likely to use mathematics in their work and everyday lives operating computer equipment,

### Solving Systems of Linear Equations Graphing

Solving Systems of Linear Equations Graphing Outcome (learning objective) Students will accurately solve a system of equations by graphing. Student/Class Goal Students thinking about continuing their academic

### The level of price and inflation Real GDP: the values of goods and services measured using a constant set of prices

Chapter 2: Key Macroeconomics Variables ECON2 (Spring 20) 2 & 4.3.20 (Tutorial ) National income accounting Gross domestic product (GDP): The market value of all final goods and services produced within

### Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District

Benchmark: MA.912.A.2.3; Describe the concept of a function, use function notation, determine whether a given relation is a function, and link equations to functions. Also assesses MA.912.A.2.13; Solve

### week 2 itinerary: CALORIES \$25 Scheels Gift Card This week s raffle prize is: Why would you ever want to track calories? Here are some of the benefits

week 2 itinerary: CALORIES Know your calorie intake. Food is made up of calories and calories are what fuel your body throughout the day! Understanding calories is an important piece of becoming a healthier

### Number boards for mini mental sessions

Number boards for mini mental sessions Feel free to edit the document as you wish and customise boards and questions to suit your learners levels Print and laminate for extra sturdiness. Ideal for working

### Greatest Common Factor (GCF) Factoring

Section 4 4: Greatest Common Factor (GCF) Factoring The last chapter introduced the distributive process. The distributive process takes a product of a monomial and a polynomial and changes the multiplication

### Teaching Notes. Contextualised task 27 Gas and Electricity

Contextualised task 27 Gas and Electricity Teaching Notes This task is concerned with understanding gas and electricity bills, including an opportunity to read meters. It is made up of a series of 5 questions,

### Copy in your notebook: Add an example of each term with the symbols used in algebra 2 if there are any.

Algebra 2 - Chapter Prerequisites Vocabulary Copy in your notebook: Add an example of each term with the symbols used in algebra 2 if there are any. P1 p. 1 1. counting(natural) numbers - {1,2,3,4,...}

### MAKING MATH MORE FUN BRINGS YOU FUN MATH GAME PRINTABLES FOR HOME OR SCHOOL

MAKING MATH MORE FUN BRINGS YOU FUN MATH GAME PRINTABLES FOR HOME OR SCHOOL THESE FUN MATH GAME PRINTABLES are brought to you with compliments from Making Math More Fun at and Math Board Games at Copyright

### Keystone National Middle School Math Level 8 Placement Exam

Keystone National Middle School Math Level 8 Placement Exam 1) A cookie recipe calls for the following ingredients: 2) In the quadrilateral below, find the measurement in degrees for x? 1 ¼ cups flour

### Free Pre-Algebra Lesson 55! page 1

Free Pre-Algebra Lesson 55! page 1 Lesson 55 Perimeter Problems with Related Variables Take your skill at word problems to a new level in this section. All the problems are the same type, so that you can

### ENGLISH CONTENT. Instructions for Using Your Computer Watch

ENGLISH CONTENT Instructions for Using Your Computer Watch Two Rotation System of Scale Ring Rotate System Crown Rotate System Ring Rotate System Crown Rotate System Figure 1 Instructions for Using your

### HIBBING COMMUNITY COLLEGE COURSE OUTLINE

HIBBING COMMUNITY COLLEGE COURSE OUTLINE COURSE NUMBER & TITLE: - Beginning Algebra CREDITS: 4 (Lec 4 / Lab 0) PREREQUISITES: MATH 0920: Fundamental Mathematics with a grade of C or better, Placement Exam,

### -- Martensdale-St. Marys Community School Math Curriculum

-- Martensdale-St. Marys Community School Standard 1: Students can understand and apply a variety of math concepts. Benchmark; The student will: A. Understand and apply number properties and operations.

### Word Problems Involving Systems of Linear Equations

Word Problems Involving Systems of Linear Equations Many word problems will give rise to systems of equations that is, a pair of equations like this: 2x+3y = 10 x 6y = 5 You can solve a system of equations

### NEW MEXICO Grade 6 MATHEMATICS STANDARDS

PROCESS STANDARDS To help New Mexico students achieve the Content Standards enumerated below, teachers are encouraged to base instruction on the following Process Standards: Problem Solving Build new mathematical

### Algebra 1 Course Information

Course Information Course Description: Students will study patterns, relations, and functions, and focus on the use of mathematical models to understand and analyze quantitative relationships. Through

### Sample Test Questions

mathematics Numerical Skills/Pre-Algebra Algebra Sample Test Questions A Guide for Students and Parents act.org/compass Note to Students Welcome to the ACT Compass Sample Mathematics Test! You are about

### Title: The Ins and Outs of Functions

Title: The Ins and Outs of Functions Brief Overview: In these lessons, students will explore what a function is, how to determine if a relation is a function and different ways a function can be represented.

by Teresa Evans Copyright 2005 Teresa Evans. All rights reserved. Permission is given for the making of copies for use in the home or classroom of the purchaser only. SAMPLE PAGES Please enjoy using these

### CAHSEE on Target UC Davis, School and University Partnerships

UC Davis, School and University Partnerships CAHSEE on Target Mathematics Curriculum Published by The University of California, Davis, School/University Partnerships Program 006 Director Sarah R. Martinez,

### (Refer Slide Time: 01.26)

Discrete Mathematical Structures Dr. Kamala Krithivasan Department of Computer Science and Engineering Indian Institute of Technology, Madras Lecture # 27 Pigeonhole Principle In the next few lectures

### Tool 1. Greatest Common Factor (GCF)

Chapter 4: Factoring Review Tool 1 Greatest Common Factor (GCF) This is a very important tool. You must try to factor out the GCF first in every problem. Some problems do not have a GCF but many do. When

### Such As Statements, Kindergarten Grade 8

Such As Statements, Kindergarten Grade 8 This document contains the such as statements that were included in the review committees final recommendations for revisions to the mathematics Texas Essential

### MATH 90 CHAPTER 1 Name:.

MATH 90 CHAPTER 1 Name:. 1.1 Introduction to Algebra Need To Know What are Algebraic Expressions? Translating Expressions Equations What is Algebra? They say the only thing that stays the same is change.

Tennessee Department of Education Task: Representing the National Debt 7 th grade Rachel s economics class has been studying the national debt. The day her class discussed it, the national debt was \$16,743,576,637,802.93.

### Interpreting Graphs. Interpreting a Bar Graph

1.1 Interpreting Graphs Before You compared quantities. Now You ll use graphs to analyze data. Why? So you can make conclusions about data, as in Example 1. KEY VOCABULARY bar graph, p. 3 data, p. 3 frequency

### Number of bits needed to address hosts 8

Advanced Subnetting Example 1: Your ISP has assigned you a Class C network address of 198.47.212.0. You have 3 networks in your company with the largest containing 134 hosts. You need to figure out if

### Nursing 131 Household to Metric Conversion

Nursing 3 Household to Metric Conversion Slide 2 & 3 In the metric system liquid volumes are measured in milliliters or liters. Weight is measured in micrograms, milligrams, grams, or kilograms. liter

### Overview. Opening 10 minutes. Closing 10 minutes. Work Time 25 minutes EXECUTIVE SUMMARY WORKSHOP MODEL

Overview EXECUTIVE SUMMARY onramp to Algebra is designed to ensure that at-risk students are successful in Algebra, a problem prominent in most of our country s larger school districts. onramp to Algebra

### If A is divided by B the result is 2/3. If B is divided by C the result is 4/7. What is the result if A is divided by C?

Problem 3 If A is divided by B the result is 2/3. If B is divided by C the result is 4/7. What is the result if A is divided by C? Suggested Questions to ask students about Problem 3 The key to this question

### 2014 Product Catalogue

Works 2014 Product Catalogue Creating Sustaining Soils Baltimore, Maryland chesapeakecompost.com 410-355-1730 Complete Sustenance For Your Soil Our compost is made from recycled food scraps, resulting

### TEACHING ADULTS TO MAKE SENSE OF NUMBER TO SOLVE PROBLEMS USING THE LEARNING PROGRESSIONS

TEACHING ADULTS TO MAKE SENSE OF NUMBER TO SOLVE PROBLEMS USING THE LEARNING PROGRESSIONS Mā te mōhio ka ora: mā te ora ka mōhio Through learning there is life: through life there is learning! The Tertiary

### CONNECT: Currency, Conversions, Rates

CONNECT: Currency, Conversions, Rates CHANGING FROM ONE TO THE OTHER Money! Finances! \$ We want to be able to calculate how much we are going to get for our Australian dollars (AUD) when we go overseas,

### Geometry Notes PERIMETER AND AREA

Perimeter and Area Page 1 of 57 PERIMETER AND AREA Objectives: After completing this section, you should be able to do the following: Calculate the area of given geometric figures. Calculate the perimeter

### FERTILIZER CALCULATIONS AND PRACTICE QUESTIONS

FERTILIZER CALCULATIONS AND PRACTICE QUESTIONS Neil Mattson, Ph.D. Floriculture Extension Specialist phone: (607) 255-0621 email: nsm47@cornell.edu Department of Horticulture 134A Plant Science Building

### Tennessee Mathematics Standards 2009-2010 Implementation. Grade Six Mathematics. Standard 1 Mathematical Processes

Tennessee Mathematics Standards 2009-2010 Implementation Grade Six Mathematics Standard 1 Mathematical Processes GLE 0606.1.1 Use mathematical language, symbols, and definitions while developing mathematical

### Grade 6 Mathematics Assessment. Eligible Texas Essential Knowledge and Skills

Grade 6 Mathematics Assessment Eligible Texas Essential Knowledge and Skills STAAR Grade 6 Mathematics Assessment Mathematical Process Standards These student expectations will not be listed under a separate

### Thursday, November 13: 6.1 Discrete Random Variables

Thursday, November 13: 6.1 Discrete Random Variables Read 347 350 What is a random variable? Give some examples. What is a probability distribution? What is a discrete random variable? Give some examples.

### Window Glass Design 5 According to ASTM E 1300

A User s Guide to: Window Glass Design 5 According to ASTM E 1300 A product of: 1 Table of Contents Table of Contents List of Figures Chapter 1: Window Glass Design 5 1.1 Introduction 1.2 Features ii iv

### Why should we learn this? One real-world connection is to find the rate of change in an airplane s altitude. The Slope of a Line VOCABULARY

Wh should we learn this? The Slope of a Line Objectives: To find slope of a line given two points, and to graph a line using the slope and the -intercept. One real-world connection is to find the rate

### APPLICATIONS AND MODELING WITH QUADRATIC EQUATIONS

APPLICATIONS AND MODELING WITH QUADRATIC EQUATIONS Now that we are starting to feel comfortable with the factoring process, the question becomes what do we use factoring to do? There are a variety of classic

### Graphic Organizers SAMPLES

This document is designed to assist North Carolina educators in effective instruction of the new Common Core State and/or North Carolina Essential Standards (Standard Course of Study) in order to increase

### Healthcare Math: Using the Metric System

Healthcare Math: Using the Metric System Industry: Healthcare Content Area: Mathematics Core Topics: Using the metric system, converting measurements within and between the metric and US customary systems,

### DesCartes (Combined) Subject: Mathematics 2-5 Goal: Data Analysis, Statistics, and Probability

DesCartes (Combined) Subject: Mathematics 2-5 Goal: Data Analysis, Statistics, and Probability RIT Score Range: Below 171 Below 171 Data Analysis and Statistics Solves simple problems based on data from

### Name of Lecturer: Mr. J.Agius LESSON 1. Place Values: Whole numbers. Hundreds Tens Units 1 1 0 1 0 0 1, 0 0 0 1 0, 0 0 0 1 0 0, 0 0 0 1, 0 0 0, 0 0 0

LESSON 1 1.1 Place value, whole/decimal numbers Place Values: Whole numbers Million 100 Thousands 10 Thousands Thousands Hundreds Tens Units 1 1 0 1 0 0 1, 0 0 0 1 0, 0 0 0 1 0 0, 0 0 0 1, 0 0 0, 0 0 0

### First published in 2013 by the University of Utah in association with the Utah State Office of Education.

First published in 2013 by the University of Utah in association with the Utah State Office of Education. Copyright 2013, Utah State Office of Education. Some rights reserved. This work is published under

### Linear Programming Supplement E

Linear Programming Supplement E Linear Programming Linear programming: A technique that is useful for allocating scarce resources among competing demands. Objective function: An expression in linear programming

### Name DATE Per TEST REVIEW. 2. A picture that shows how two variables are related is called a.

Name DATE Per Completion Complete each statement. TEST REVIEW 1. The two most common systems of standardized units for expressing measurements are the system and the system. 2. A picture that shows how

The recipes in this package are standardized to yield both 25 and 50 servings. For example, if you look at the recipe for Chicken or Turkey Salad (E-07), you will see directions to make either 25 servings

### _ HOW TO FIGURE PERCENT _

_ HOW TO FIGURE PERCENT _ This learning packet will take you through the basic steps of working with percentages so you can solve problems like the ones below: Example: My family has just eaten dinner