7.2 Translating and Solving Percent Problems

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "7.2 Translating and Solving Percent Problems"

Transcription

1 7.2 ranslating and Solving Percent Problems In this section we will study how to solve percent problems. Percent problems usually have a phrase in the question in one of the following forms: Percent of Whole is Part Part is Percent of Whole We will solve these types of problems by translating these questions into an algebraic equation as we did in Section 5.7. We will look for key words and use them to create an equation which we solve. he two most important key words for this section are is and of: is means equal (=), and of means multiply (). Also, the word what is an indicator of an unknown quantity, which we will represent with a variable. hen, we will use solving methods that we first examined in Chapter 5. PARS OF A PERCEN PROBLEM PERCEN WHOLE PAR Rate or portion of 00 he total amount he portion of the whole he % symbol follows the number P will be used as the variable for Percent Follows the word of W will be used as the variable for Whole Will be found on the other side of the word is will be used as the variable for Par Note: When solving percent problems algebraically, you will need to change the percent to its decimal form. Recall from the last section that you change a percent to a decimal by dividing by 00. If the percent is the missing element from the problem, the algebraic answer to the equation that is solved will be in decimal form. hus, you will need to change the decimal form into a percent in your final answer. Recall from the last section that you change a decimal to a percent by multiplying by 00%. In the next few examples, the unknown value will be the percent. When we solve the equation, the value will be given as a decimal and we will need to change it to a percent for our final answer. 478

2 Example : What percent of 20 is 5? We need to determine the Percent. Use P to represent the percent. Statement: What percent of 20 is 5? Equation: P 20 = 5 Next, solve this equation for P. P20 5 P P 0.25 P % 25% Divide both sides by 20. his is the decimal form. Change to a percent by multiplying by 00%. Practice : What percent of 72 is 36? Answer: 50% Example 2: What percent of 320 is 64? We need to determine the Percent. Use P to represent the percent. Statement: What percent of 320 is 64? Equation: P 320 = 64 Next, solve this equation for P. P P P 0.2 P % 20% Divide both sides by 320. his is the decimal form. Change to a percent by multiplying by 00%. Practice 2: What percent of 200 is 50? Answer: 25% 479

3 Example 3: 20 is what percent of 80? We need to determine the Percent. Use P to represent the percent. Statement: 20 is what percent of 80 Equation: 20 = P 80 Next, solve this equation for P. 20 P80 20 P P P.500% 50% Divide both sides by 80. his is the decimal form. Change to a percent by multiplying by 00%. Practice 3: 42 is what percent of 68? Answer: 25% Example 4: What percent of 96 is 80? We need to find the Percent. Use P to represent the percent. Statement: What percent of 96 is 80? Equation: P 96 = 80 Next, solve this equation for P. P96 80 P96 80 Divide both sides by he decimal form of this fraction gives a repeating decimal. herefore, we simplify this fraction and then change the fraction into a percent P Factor the numerator and denominator P Divide out common factors % P Change to a percent by multiplying by 00% P % Simplify by dividing out common factors P 83 % his is the percent as a mixed number

4 Practice 4: What percent of 20 is 90? Answer: 75% In the next few problems the unknown value will be the part. We must remember to change the percent value that is given to a decimal before we solve the equation. Example 5: 8% of 220 is what number? We need to determine the Par. Use to represent the part. Statement: 8% of 220 is what? Equation: = Next, solve this equation for Multiply to solve. Practice 5: 5% of 60 is what number? Answer: 9 Example 6: What is 20% of 35? We need to determine the Par. Use to represent the part. Statement: What is 20% of 35? Equation: = Next, solve this equation for Multiply to solve. Practice 6: What is 30% of 90? Answer:

5 Example 7: What is 300% of 7? We need to determine the Par. Use to represent the part. Statement: What is 300% of 7? Equation: = 3 7 Next, solve this equation for Multiply to solve. Practice 7: What is 45% of 60? Answer: 87 Example 8: What is 5 % 2 of 248? When given the percent we must convert it to a decimal. 5 % % We need to determine the Par. Use to represent the part. Statement: What is 5 % 2 of 248? Equation: = Next, solve this equation for Multiply to solve. Practice 8: What is 3 % 5 of 325? Answer: In the next few problems the unknown value will be the whole. We must remember to change the percent value that is given to a decimal before we solve the equation. 482

6 Example 9: 30 is 5% of what? We need to determine the Whole. Use W to represent the whole. Statement: 30 is 5% of What? Equation: 30 = 0.5 W Next, solve this equation for W W W W Divide both sides by 0.5. Practice 9: 60 is 5% of what number? Answer: Example 0: 80% of what number is 8? We need to determine the Whole. Use W to represent the whole. Statement: 80% of what is 8 Equation:.8 W = 8 Next, solve this equation for W..8W 8.8W W 45 Divide both sides by.8. Practice 0: 200% of what number is 90? Answer:

7 Example : 45 is 30% of what? We need to determine the Whole. Use W to represent the whole. Statement: 45 is 30% of What? Equation: 45 = 0.3 W Next, solve this equation for W W W W Divide both sides by 0.3. Practice : 32 is 20% of what number? Answer: 60 We can also solve percent problems as we did proportion ratio problems in Chapter 6. With this method you will not need to convert percents to decimals or decimals to percents. Every problem is set up the same no matter what the unknown value is. SOLVING PERCEN PROBLEMS USING PROPORIONS Percent 00 Part Whole Example 2: What percent of 20 is 5? We need to determine the Percent. Whole = 20 Part = 5 Fill in the proportion with the known information and solve for the unknown. P P 500 Cross multiply. 20P P 25% Divide. he answer is in percent form. Practice 2: What percent of 72 is 36? Answer: 50% 484

8 Example 3: What is 8% of 220? We need to determine the Par. Whole = 220 Percent = 8 Fill in the proportion with the known information and solve for the unknown Cross multiply. Divide. Practice 3: 5% of 60 is what number? Answer: 9 Example 4: 30 is 5% of what? We need to determine the Whole. Part = 30 Percent = 5% Fill in the proportion with the known information and solve for the unknown W 5W W W 200 Cross multiply. Divide. Practice 4: 60 is 5% of what number? Answer: Watch All: 485

9 7.2 ranslating and Solving Percent Problems Exercises. What is 30% of 300? 2. What is 8.9% of 0? 3. 20% of 4000 is what? 4. 5% of 90 is what? is 25% of what? is 80% of what? 7. What percent of 25 is 25? 8. What percent of 00 is 50? is what percent of 400? is what percent of 60?. What is 25% of 225? 2. What is 68% of 80? 3. What is 33 % of 25? 4. 25% of 200 is what? % of 86.5 is what? 6. 5 is 25% of what? is 80% of what? is 20% of what? is % of what? is.5% of what? 2. 0 is what percent of 50? is what percent of 00? is what percent of 260? is what percent of 20? is what percent of 20,000? 486

10 7.2 ranslating and Solving Percent Problems Exercise Answers % 8. 50% 9. 0% 0. 40% or or or , , % 22. 2% % % or 2 % 25..0% or % 487

11 CCBC Math 08 Sections7. to 7.2 CHAPER 7 Mid-Chapter Review. Convert to a fraction: 25% 2. Convert to a fraction: 93% 3. Convert to a fraction: 4. Convert to a percent: 5. Convert to a percent: % Convert to a percent: Convert to a percent: Convert to a decimal: 5.9% 9. Convert to a decimal: 8.5% 0. Convert to a decimal: 6%. What percent of 300 is 90? 2. What percent of 62 is 58.9? 3. What is 25% of 200? 4. What is 8% of 420? is 20% of what? is 88% of what? 7. What percent of 45 is 9? 8. 99% of 90 is what? is what percent of 425? is what percent of 60? 2. 47% of 70 is what number? 22. What is 25% of 60? % of what number is 550? 24. What is 83 % 3 of 96? 25. What percent of 320 is 64? 26. What percent of 200 is 230? 27. What percent of 20 is 2? % of what number is 642? % of what number is 96? 30. What is 82% of 00?

12 CCBC Math 08 Mid-Chapter 7 Review Sections 7. to 7.2 M i d - C h a p t e r 7 R e v i e w A n s w e r s % % % % % 2. 95% % % % % 26. 5% %

5.4 Solving Percent Problems Using the Percent Equation

5.4 Solving Percent Problems Using the Percent Equation 5. Solving Percent Problems Using the Percent Equation In this section we will develop and use a more algebraic equation approach to solving percent equations. Recall the percent proportion from the last

More information

Chapter 1: Order of Operations, Fractions & Percents

Chapter 1: Order of Operations, Fractions & Percents HOSP 1107 (Business Math) Learning Centre Chapter 1: Order of Operations, Fractions & Percents ORDER OF OPERATIONS When finding the value of an expression, the operations must be carried out in a certain

More information

Equations Involving Fractions

Equations Involving Fractions . Equations Involving Fractions. OBJECTIVES. Determine the ecluded values for the variables of an algebraic fraction. Solve a fractional equation. Solve a proportion for an unknown NOTE The resulting equation

More information

Accuplacer Arithmetic Study Guide

Accuplacer Arithmetic Study Guide Testing Center Student Success Center Accuplacer Arithmetic Study Guide I. Terms Numerator: which tells how many parts you have (the number on top) Denominator: which tells how many parts in the whole

More information

Maths Workshop for Parents 2. Fractions and Algebra

Maths Workshop for Parents 2. Fractions and Algebra Maths Workshop for Parents 2 Fractions and Algebra What is a fraction? A fraction is a part of a whole. There are two numbers to every fraction: 2 7 Numerator Denominator 2 7 This is a proper (or common)

More information

4.4 Equations of the Form ax + b = cx + d

4.4 Equations of the Form ax + b = cx + d 4.4 Equations of the Form ax + b = cx + d We continue our study of equations in which the variable appears on both sides of the equation. Suppose we are given the equation: 3x + 4 = 5x! 6 Our first step

More information

y x x 2 Squares, square roots, cubes and cube roots TOPIC 2 4 x 2 2ndF 2ndF Oral activity Discuss squares, square roots, cubes and cube roots

y x x 2 Squares, square roots, cubes and cube roots TOPIC 2 4 x 2 2ndF 2ndF Oral activity Discuss squares, square roots, cubes and cube roots TOPIC Squares, square roots, cubes and cube roots By the end of this topic, you should be able to: ü Find squares, square roots, cubes and cube roots of positive whole numbers, decimals and common fractions

More information

Ratio, Proportion, and Percent

Ratio, Proportion, and Percent Pre-Algebra Ratio, Proportion, and Percent Copyright This publication The Northern Alberta Institute of Technology 2002. All Rights Reserved. LAST REVISED June, 2007 Statement of Prerequisite Skills Complete

More information

count up and down in tenths count up and down in hundredths

count up and down in tenths count up and down in hundredths Number: Fractions (including Decimals and Percentages COUNTING IN FRACTIONAL STEPS Pupils should count in fractions up to 10, starting from any number and using the1/2 and 2/4 equivalence on the number

More information

PERCENTS. Percent means per hundred. Writing a number as a percent is a way of comparing the number with 100. For example: 42% =

PERCENTS. Percent means per hundred. Writing a number as a percent is a way of comparing the number with 100. For example: 42% = PERCENTS Percent means per hundred. Writing a number as a percent is a way of comparing the number with 100. For example: 42% = Percents are really fractions (or ratios) with a denominator of 100. Any

More information

Three Types of Percent Problems

Three Types of Percent Problems 6.4 Three Types of Percent Problems 6.4 OBJECTIVES. Find the unknown amount in a percent problem 2. Find the unknown rate in a percent problem 3. Find the unknown base in a percent problem From your work

More information

Self-Directed Course: Transitional Math Module 2: Fractions

Self-Directed Course: Transitional Math Module 2: Fractions Lesson #1: Comparing Fractions Comparing fractions means finding out which fraction is larger or smaller than the other. To compare fractions, use the following inequality and equal signs: - greater than

More information

PREPARATION FOR MATH TESTING at CityLab Academy

PREPARATION FOR MATH TESTING at CityLab Academy PREPARATION FOR MATH TESTING at CityLab Academy compiled by Gloria Vachino, M.S. Refresh your math skills with a MATH REVIEW and find out if you are ready for the math entrance test by taking a PRE-TEST

More information

Solution Guide Chapter 14 Mixing Fractions, Decimals, and Percents Together

Solution Guide Chapter 14 Mixing Fractions, Decimals, and Percents Together Solution Guide Chapter 4 Mixing Fractions, Decimals, and Percents Together Doing the Math from p. 80 2. 0.72 9 =? 0.08 To change it to decimal, we can tip it over and divide: 9 0.72 To make 0.72 into a

More information

Calculations with whole numbers, simple ratio and direct proportion

Calculations with whole numbers, simple ratio and direct proportion Externally assessed by OCR Unit Title: Level: 1 Credit value: 5 Guided learning hours: 50 Unit reference number: Calculations with whole numbers, simple ratio and direct proportion T/504/5990 Unit purpose

More information

ModuMath Algebra Lessons

ModuMath Algebra Lessons ModuMath Algebra Lessons Program Title 1 Getting Acquainted With Algebra 2 Order of Operations 3 Adding & Subtracting Algebraic Expressions 4 Multiplying Polynomials 5 Laws of Algebra 6 Solving Equations

More information

Determining When an Expression Is Undefined

Determining When an Expression Is Undefined Determining When an Expression Is Undefined Connections Have you ever... Tried to use a calculator to divide by zero and gotten an error Tried to figure out the square root of a negative number Expressions

More information

6.2. PERCENT FORMULA MODULE 6. PERCENT

6.2. PERCENT FORMULA MODULE 6. PERCENT 6.2 Percent Formula In this lesson, we will learn 3 types of percent problems, and use 3 methods to solve each type of problems. You can choose your favorite method. It would be great if you can use all

More information

MAT 0950 Course Objectives

MAT 0950 Course Objectives MAT 0950 Course Objectives 5/15/20134/27/2009 A student should be able to R1. Do long division. R2. Divide by multiples of 10. R3. Use multiplication to check quotients. 1. Identify whole numbers. 2. Identify

More information

LESSON PLANS FOR PERCENTAGES, FRACTIONS, DECIMALS, AND ORDERING Lesson Purpose: The students will be able to:

LESSON PLANS FOR PERCENTAGES, FRACTIONS, DECIMALS, AND ORDERING Lesson Purpose: The students will be able to: LESSON PLANS FOR PERCENTAGES, FRACTIONS, DECIMALS, AND ORDERING Lesson Purpose: The students will be able to: 1. Change fractions to decimals. 2. Change decimals to fractions. 3. Change percents to decimals.

More information

2.4 Ratios and Proportions

2.4 Ratios and Proportions . Ratios and Proportions RATIOS A ratio between two numbers compares their relative size, using division, and this relative size will not change, no matter how large or small the numbers may get. The ratio

More information

Fractions to decimals

Fractions to decimals Worksheet.4 Fractions and Decimals Section Fractions to decimals The most common method of converting fractions to decimals is to use a calculator. A fraction represents a division so is another way of

More information

MATH-0910 Review Concepts (Haugen)

MATH-0910 Review Concepts (Haugen) Unit 1 Whole Numbers and Fractions MATH-0910 Review Concepts (Haugen) Exam 1 Sections 1.5, 1.6, 1.7, 1.8, 2.1, 2.2, 2.3, 2.4, and 2.5 Dividing Whole Numbers Equivalent ways of expressing division: a b,

More information

First Six Weeks (29 Days)

First Six Weeks (29 Days) Mathematics Scope & Sequence Grade 6 Revised: May 2010 Topic Title Unit 1: Compare and Order, Estimate, Exponents, and Order of Operations Lesson 1-1: Comparing and Ordering Whole Numbers Lesson 1-2: Estimating

More information

Balancing Chemical Equations

Balancing Chemical Equations Balancing Chemical Equations A mathematical equation is simply a sentence that states that two expressions are equal. One or both of the expressions will contain a variable whose value must be determined

More information

BASIC MATH CALCULATIONS

BASIC MATH CALCULATIONS BASIC MATH CALCULATIONS It is highly suggested you complete this packet to assist you in being successful with the basic math competency test. You will be allowed to use a BASIC calculator for all math

More information

Changing a Mixed Number to an Improper Fraction

Changing a Mixed Number to an Improper Fraction Example: Write 48 4 48 4 = 48 8 4 8 = 8 8 = 2 8 2 = 4 in lowest terms. Find a number that divides evenly into both the numerator and denominator of the fraction. For the fraction on the left, there are

More information

eday Lessons Mathematics Grade 8 Student Name:

eday Lessons Mathematics Grade 8 Student Name: eday Lessons Mathematics Grade 8 Student Name: Common Core State Standards- Expressions and Equations Work with radicals and integer exponents. 3. Use numbers expressed in the form of a single digit times

More information

Algebra 1A and 1B Summer Packet

Algebra 1A and 1B Summer Packet Algebra 1A and 1B Summer Packet Name: Calculators are not allowed on the summer math packet. This packet is due the first week of school and will be counted as a grade. You will also be tested over the

More information

Math 0980 Chapter Objectives. Chapter 1: Introduction to Algebra: The Integers.

Math 0980 Chapter Objectives. Chapter 1: Introduction to Algebra: The Integers. Math 0980 Chapter Objectives Chapter 1: Introduction to Algebra: The Integers. 1. Identify the place value of a digit. 2. Write a number in words or digits. 3. Write positive and negative numbers used

More information

Repton Manor Primary School. Maths Targets

Repton Manor Primary School. Maths Targets Repton Manor Primary School Maths Targets Which target is for my child? Every child at Repton Manor Primary School will have a Maths Target, which they will keep in their Maths Book. The teachers work

More information

Only to be used for arranged hours

Only to be used for arranged hours Math 84 Activity #2 Your Name: Percents Converting Between Decimals, Fractions, and Percents "Percent" is actually "per cent", meaning "out of one hundred". You can use this fact, along with the fact that

More information

Solutions of Linear Equations in One Variable

Solutions of Linear Equations in One Variable 2. Solutions of Linear Equations in One Variable 2. OBJECTIVES. Identify a linear equation 2. Combine like terms to solve an equation We begin this chapter by considering one of the most important tools

More information

Fractions. Cavendish Community Primary School

Fractions. Cavendish Community Primary School Fractions Children in the Foundation Stage should be introduced to the concept of halves and quarters through play and practical activities in preparation for calculation at Key Stage One. Y Understand

More information

SIXTH GRADE MATH. Quarter 1

SIXTH GRADE MATH. Quarter 1 Quarter 1 SIXTH GRADE MATH Numeration - Place value - Comparing and ordering whole numbers - Place value of exponents - place value of decimals - multiplication and division by 10, 100, 1,000 - comparing

More information

Algebraic expressions are a combination of numbers and variables. Here are examples of some basic algebraic expressions.

Algebraic expressions are a combination of numbers and variables. Here are examples of some basic algebraic expressions. Page 1 of 13 Review of Linear Expressions and Equations Skills involving linear equations can be divided into the following groups: Simplifying algebraic expressions. Linear expressions. Solving linear

More information

Multiply and Divide Mixed Numbers and Complex Fractions

Multiply and Divide Mixed Numbers and Complex Fractions OpenStax Staging module: m00 Multiply and Divide Mixed Numbers and Complex Fractions Words Numbers This work is produced by OpenStax Staging and licensed under the Creative Commons Attribution License.0

More information

Improper Fractions and Mixed Numbers

Improper Fractions and Mixed Numbers This assignment includes practice problems covering a variety of mathematical concepts. Do NOT use a calculator in this assignment. The assignment will be collected on the first full day of class. All

More information

Decimal and Fraction Review Sheet

Decimal and Fraction Review Sheet Decimal and Fraction Review Sheet Decimals -Addition To add 2 decimals, such as 3.25946 and 3.514253 we write them one over the other with the decimal point lined up like this 3.25946 +3.514253 If one

More information

Mathematics Scheme of Work: Form

Mathematics Scheme of Work: Form Textbook: Formula One Maths B2 Hodder and Stoughton Chapter No. First Term Revising Time Topic and Subtopic October - December Handout Notes 2 Numbers 2.1 Basic conversions: Changing from large units to

More information

EQUATIONS. Main Overarching Questions: 1. What is a variable and what does it represent?

EQUATIONS. Main Overarching Questions: 1. What is a variable and what does it represent? EQUATIONS Introduction to Variables, Algebraic Expressions, and Equations (2 days) Overview of Objectives, students should be able to: Main Overarching Questions: 1. Evaluate algebraic expressions given

More information

Florida Math 0018. Correlation of the ALEKS course Florida Math 0018 to the Florida Mathematics Competencies - Lower

Florida Math 0018. Correlation of the ALEKS course Florida Math 0018 to the Florida Mathematics Competencies - Lower Florida Math 0018 Correlation of the ALEKS course Florida Math 0018 to the Florida Mathematics Competencies - Lower Whole Numbers MDECL1: Perform operations on whole numbers (with applications, including

More information

2.3 Solving Equations Containing Fractions and Decimals

2.3 Solving Equations Containing Fractions and Decimals 2. Solving Equations Containing Fractions and Decimals Objectives In this section, you will learn to: To successfully complete this section, you need to understand: Solve equations containing fractions

More information

Basic Math Refresher A tutorial and assessment of basic math skills for students in PUBP704.

Basic Math Refresher A tutorial and assessment of basic math skills for students in PUBP704. Basic Math Refresher A tutorial and assessment of basic math skills for students in PUBP704. The purpose of this Basic Math Refresher is to review basic math concepts so that students enrolled in PUBP704:

More information

Ratio and Proportion Study Guide 12

Ratio and Proportion Study Guide 12 Ratio and Proportion Study Guide 12 Ratio: A ratio is a comparison of the relationship between two quantities or categories of things. For example, a ratio might be used to compare the number of girls

More information

Math Help and Additional Practice Websites

Math Help and Additional Practice Websites Name: Math Help and Additional Practice Websites http://www.coolmath.com www.aplusmath.com/ http://www.mathplayground.com/games.html http://www.ixl.com/math/grade-7 http://www.softschools.com/grades/6th_and_7th.jsp

More information

MATH 90 CHAPTER 1 Name:.

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.

More information

Topic Skill Homework Title Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number.

Topic Skill Homework Title Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number. Year 1 (Age 5-6) Number and Place Value Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number. Count up to 10 and back (Age 5-6) Count up to 20 objects (Age 5-6)

More information

Exponents. Exponents tell us how many times to multiply a base number by itself.

Exponents. Exponents tell us how many times to multiply a base number by itself. Exponents Exponents tell us how many times to multiply a base number by itself. Exponential form: 5 4 exponent base number Expanded form: 5 5 5 5 25 5 5 125 5 625 To use a calculator: put in the base number,

More information

Introduction to the Practice Exams

Introduction to the Practice Exams Introduction to the Practice Eams The math placement eam determines what math course you will start with at North Hennepin Community College. The placement eam starts with a 1 question elementary algebra

More information

Algebraic Expressions and Equations: Applications I: Translating Words to Mathematical Symbols

Algebraic Expressions and Equations: Applications I: Translating Words to Mathematical Symbols OpenSta-CNX module: m35046 1 Algebraic Epressions and Equations: Applications I: Translating Words to Mathematical Symbols Wade Ellis Denny Burzynski This work is produced by OpenSta-CNX and licensed under

More information

Number Sense and Operations

Number Sense and Operations Number Sense and Operations representing as they: 6.N.1 6.N.2 6.N.3 6.N.4 6.N.5 6.N.6 6.N.7 6.N.8 6.N.9 6.N.10 6.N.11 6.N.12 6.N.13. 6.N.14 6.N.15 Demonstrate an understanding of positive integer exponents

More information

Number: Fractions (including Decimals and Percentages) COUNTING IN FRACTIONAL STEPS Year 1 Year 2 Year 3 Year 4 Year 5 Year 6

Number: Fractions (including Decimals and Percentages) COUNTING IN FRACTIONAL STEPS Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Pupils should begin to count in halves, using practical resources to support Number: Fractions (including Decimals and Percentages COUNTING IN FRACTIONAL STEPS Pupils should count in count up and down

More information

EVERY DAY: Practise and develop oral and mental skills (e.g. counting, mental strategies, rapid recall of +, and x facts)

EVERY DAY: Practise and develop oral and mental skills (e.g. counting, mental strategies, rapid recall of +, and x facts) Year 6/Band 6 Autumn Term Maths Curriculum Progression and Assessment Criteria EVERY DAY: Practise and develop oral and mental skills (e.g. counting, mental strategies, rapid recall of +, and x facts)

More information

Variable. 1.1 Order of Operations. August 17, evaluating expressions ink.notebook. Standards. letter or symbol used to represent a number

Variable. 1.1 Order of Operations. August 17, evaluating expressions ink.notebook. Standards. letter or symbol used to represent a number 1.1 evaluating expressions ink.notebook page 8 Unit 1 Basic Equations and Inequalities 1.1 Order of Operations page 9 Square Cube Variable Variable Expression Exponent page 10 page 11 1 Lesson Objectives

More information

How DIBELS Math Relates to the Common Core State Standards in Mathematics Dynamic Measurement Group, Inc. / May 7, 2014

How DIBELS Math Relates to the Common Core State Standards in Mathematics Dynamic Measurement Group, Inc. / May 7, 2014 How DIBELS Math Relates to the Common Core State Standards in Mathematics Dynamic Measurement Group, Inc. / May 7, 2014 DIBELS Math draws problem types from the Common Core State Standards for Mathematics.

More information

Fractions Associate a fraction with division to calculate decimal fraction equivalents (e.g ) for a simple fraction (e.g. 3/8).

Fractions Associate a fraction with division to calculate decimal fraction equivalents (e.g ) for a simple fraction (e.g. 3/8). : Autumn 1 Numeracy Curriculum Objectives Number, Place Value and Rounding Read, write, order and compare numbers up to 10,000,000 and determine the value of each digit. Round any whole number to a required

More information

Practice Math Placement Exam

Practice Math Placement Exam Practice Math Placement Exam The following are problems like those on the Mansfield University Math Placement Exam. You must pass this test or take MA 0090 before taking any mathematics courses. 1. What

More information

GRE MATH REVIEW #4. To find 30% of 200, convert 30% to.30. Then multiply 200 by.30, which results in 60. Hence, 60 is 30% of 200.

GRE MATH REVIEW #4. To find 30% of 200, convert 30% to.30. Then multiply 200 by.30, which results in 60. Hence, 60 is 30% of 200. GRE MATH REVIEW #4 Percentages A percent is just a shorthand way of expressing a fraction whose denominator is 100. Percent means per 100, out of 100, or divided by 100. For example, 25% = 25/100 = 0.25

More information

Solving 1 and 2 Step Equations

Solving 1 and 2 Step Equations Section 2 1: Solving 1 and 2 Step Equations Epressions The last chapter in this book contained epressions. The net type of algebraic statement that we will eamine is an equation. At the start of this section

More information

SUMMER ASSIGNMENT FOR ALGEBRA 1 STUDENTS

SUMMER ASSIGNMENT FOR ALGEBRA 1 STUDENTS SUMMER ASSIGNMENT FOR 2012-2013 ALGEBRA 1 STUDENTS This year, the summer math assignments are available online on the district homepage. To access the summer assignments, please go to the high school s

More information

HFCC Math Lab Intermediate Algebra - 17 DIVIDING RADICALS AND RATIONALIZING THE DENOMINATOR

HFCC Math Lab Intermediate Algebra - 17 DIVIDING RADICALS AND RATIONALIZING THE DENOMINATOR HFCC Math Lab Intermediate Algebra - 17 DIVIDING RADICALS AND RATIONALIZING THE DENOMINATOR Dividing Radicals: To divide radical expression we use Step 1: Simplify each radical Step 2: Apply the Quotient

More information

Reception. Number and Place Value

Reception. Number and Place Value Nursery Numbers and Place Value Recite numbers to 10 in order Count up to 10 objects Compare 2 groups of objects and say when they have the same number Select the correct numeral to represent 1-5 objects

More information

CONVERTING PERCENTS TO DECIMALS a) replace the % with x0.01 b) multiply by 0.01, i.e., move decimal point TWO PLACES TO LEFT

CONVERTING PERCENTS TO DECIMALS a) replace the % with x0.01 b) multiply by 0.01, i.e., move decimal point TWO PLACES TO LEFT Chapter 6 Percents and Their Fraction and Decimal Forms N% = N per hundred Ratio = (this form I use most of the time) 70% 23.4%. 00% CONVERTING PERCENTS TO FRACTIONS 32% 90% 75% 0.06%.. 75% 50% 66 % CONVERTING

More information

Chemistry Math Videos and Reference Material

Chemistry Math Videos and Reference Material Please use the resources below to review mathematical concepts found in chemistry. 1. Many Online videos by MiraCosta Professor Julie Harland: www.yourmathgal.com 2. Text references in red/burgundy and

More information

1.4 Variable Expressions

1.4 Variable Expressions 1.4 Variable Expressions Now that we can properly deal with all of our numbers and numbering systems, we need to turn our attention to actual algebra. Algebra consists of dealing with unknown values. These

More information

LESSON SUMMARY. Manipulation of Real Numbers

LESSON SUMMARY. Manipulation of Real Numbers LESSON SUMMARY CXC CSEC MATHEMATICS UNIT TWO: COMPUTATION Lesson 2 Manipulation of Real Numbers Textbook: Mathematics, A Complete Course by Raymond Toolsie, Volume 1. (Some helpful exercises and page numbers

More information

Simplifying Radical Expressions

Simplifying Radical Expressions Section 9 2A: Simplifying Radical Expressions Rational Numbers A Rational Number is any number that that expressed as a whole number a fraction a decimal that ends a decimal that repeats 3 2 1.2 1.333

More information

HFCC Math Lab Beginning Algebra 13 TRANSLATING ENGLISH INTO ALGEBRA: WORDS, PHRASE, SENTENCES

HFCC Math Lab Beginning Algebra 13 TRANSLATING ENGLISH INTO ALGEBRA: WORDS, PHRASE, SENTENCES HFCC Math Lab Beginning Algebra 1 TRANSLATING ENGLISH INTO ALGEBRA: WORDS, PHRASE, SENTENCES Before being able to solve word problems in algebra, you must be able to change words, phrases, and sentences

More information

Conversions between percents, decimals, and fractions

Conversions between percents, decimals, and fractions Click on the links below to jump directly to the relevant section Conversions between percents, decimals and fractions Operations with percents Percentage of a number Percent change Conversions between

More information

Round decimals to the nearest whole number

Round decimals to the nearest whole number Round decimals to the nearest whole number Learning Objective Simplifying Fractions Simplified Fractions To simplify a fraction, we find an equivalent fraction which uses the smallest numbers possible.

More information

Wheels Diameter / Distance Traveled

Wheels Diameter / Distance Traveled Mechanics Teacher Note to the teacher On these pages, students will learn about the relationships between wheel radius, diameter, circumference, revolutions and distance. Students will use formulas relating

More information

Square roots, Inequality Symbols, and More with Fractions

Square roots, Inequality Symbols, and More with Fractions Square roots, Inequality Symbols, and More with Fractions This section discusses some terminology and more how on how to simplify fractions without a calculator. Square roots: The square root symbol is.

More information

Multiplying and Dividing Algebraic Fractions

Multiplying and Dividing Algebraic Fractions . Multiplying and Dividing Algebraic Fractions. OBJECTIVES. Write the product of two algebraic fractions in simplest form. Write the quotient of two algebraic fractions in simplest form. Simplify a comple

More information

Chapter 3: Ratio, Proportion & Percent

Chapter 3: Ratio, Proportion & Percent HOSP 1107 (Business Math) Learning Centre Chapter 3: Ratio, Proportion & Percent RATIO A ratio is a comparison of the relative values of numbers or quantities. We can write a ratio for any statement containing

More information

ARITHMETIC. Overview. Testing Tips

ARITHMETIC. Overview. Testing Tips ARITHMETIC Overview The Arithmetic section of ACCUPLACER contains 17 multiple choice questions that measure your ability to complete basic arithmetic operations and to solve problems that test fundamental

More information

Introduction to Fractions

Introduction to Fractions Introduction to Fractions Fractions represent parts of a whole. The top part of a fraction is called the numerator, while the bottom part of a fraction is called the denominator. The denominator states

More information

MACMILLAN/McGRAW-HILL. MATH CONNECTS and IMPACT MATHEMATICS WASHINGTON STATE MATHEMATICS STANDARDS. ESSENTIAL ACADEMIC LEARNING REQUIREMENTS (EALRs)

MACMILLAN/McGRAW-HILL. MATH CONNECTS and IMPACT MATHEMATICS WASHINGTON STATE MATHEMATICS STANDARDS. ESSENTIAL ACADEMIC LEARNING REQUIREMENTS (EALRs) MACMILLAN/McGRAW-HILL MATH CONNECTS and IMPACT MATHEMATICS TO WASHINGTON STATE MATHEMATICS STANDARDS ESSENTIAL ACADEMIC LEARNING REQUIREMENTS (EALRs) And GRADE LEVEL EXPECTATIONS (GLEs) / Edition, Copyright

More information

Maths Targets Year 1 Addition and Subtraction Measures. N / A in year 1.

Maths Targets Year 1 Addition and Subtraction Measures. N / A in year 1. Number and place value Maths Targets Year 1 Addition and Subtraction Count to and across 100, forwards and backwards beginning with 0 or 1 or from any given number. Count, read and write numbers to 100

More information

John Adair Intermediate 4th Grade Math Learning Targets I Can Statements..

John Adair Intermediate 4th Grade Math Learning Targets I Can Statements.. John Adair Intermediate 4th Grade Math Learning Targets I Can Statements.. NUMBERS AND OPERATIONS IN BASE TEN 4.NBT Generalize place value understanding for multi-digit whole numbers. Explain how the base

More information

Make the denominators the same, convert the numerators by multiplying, then add the numerators.

Make the denominators the same, convert the numerators by multiplying, then add the numerators. Experience & Outcome: MNU 2-07a I have investigated the everyday contexts in which simple fractions, percentages or decimal fractions are used and can carry out the necessary calculations to solve related

More information

PAYCHEX, INC. BASIC BUSINESS MATH TRAINING MODULE

PAYCHEX, INC. BASIC BUSINESS MATH TRAINING MODULE PAYCHEX, INC. BASIC BUSINESS MATH TRAINING MODULE 1 Property of Paychex, Inc. Basic Business Math Table of Contents Overview...3 Objectives...3 Calculator...4 Basic Calculations...6 Order of Operation...9

More information

Oral and Mental calculation

Oral and Mental calculation Oral and Mental calculation Read and write any integer and know what each digit represents. Read and write decimal notation for tenths and hundredths and know what each digit represents. Order and compare

More information

Year 5. Pupils should identify the place value in large whole numbers.

Year 5. Pupils should identify the place value in large whole numbers. Year 5 Year 5 programme of study (statutory requirements) Number, place value, approximation and estimation Number, place value, approximation and estimation Pupils should identify the place value in large

More information

MATH FOR NURSING PERCENTAGES. Written by: Joe Witkowski and Eileen Phillips

MATH FOR NURSING PERCENTAGES. Written by: Joe Witkowski and Eileen Phillips MATH FOR NURSING PERCENTAGES Written by: Joe Witkowski and Eileen Phillips Percentages Section 1: Introduction Percentages are just another way of epressing fractions. Percent means "per hundred" or "divided

More information

Assessment Anchors and Eligible Content

Assessment Anchors and Eligible Content M07.A-N The Number System M07.A-N.1 M07.A-N.1.1 DESCRIPTOR Assessment Anchors and Eligible Content Aligned to the Grade 7 Pennsylvania Core Standards Reporting Category Apply and extend previous understandings

More information

SIMPLIFYING ALGEBRAIC FRACTIONS

SIMPLIFYING ALGEBRAIC FRACTIONS Tallahassee Community College 5 SIMPLIFYING ALGEBRAIC FRACTIONS In arithmetic, you learned that a fraction is in simplest form if the Greatest Common Factor (GCF) of the numerator and the denominator is

More information

Grade 7 Red Math Weekly Schedule December 6 th December 10 th Mr. Murad

Grade 7 Red Math Weekly Schedule December 6 th December 10 th Mr. Murad Lesson 1&2 6/12/2015 Lesson 3 7/12/2015 Lesson 4 8/12/2015 Lesson 5&6 9/12/2015 Grade 7 Red Math Weekly Schedule December 6 th December 10 th Mr. Murad Date Class Work Home Work 2-1 -find the absolute

More information

How To Math Properties

How To Math Properties CLOSURE a + b is a real number; when you add 2 real numbers, the result is also a real number. and 5 are both real numbers, + 5 8 and the sum, 8, is also a real number. a b is a real number; when you subtract

More information

Training Manual. Pre-Employment Math. Version 1.1

Training Manual. Pre-Employment Math. Version 1.1 Training Manual Pre-Employment Math Version 1.1 Created April 2012 1 Table of Contents Item # Training Topic Page # 1. Operations with Whole Numbers... 3 2. Operations with Decimal Numbers... 4 3. Operations

More information

Key Stage Two Maths Overview

Key Stage Two Maths Overview Crick Primary School The lists of objectives shown are the core objectives in Mathematics for each year group and will be taught at some stage over the academic year at an appropriate level. Your child

More information

Text: Scott Foresman CA Mathematics

Text: Scott Foresman CA Mathematics Grade 6 Mathematics 008-009 3 Course Introduction 7 Segment I: Algebra and Decimals -0 Variables and Expressions NS.0 AF. -9 Orders of Operation AF. 4- Powers and Exponents - Comparing and Ordering Decimals

More information

Accuplacer Arithmetic Study Guide

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

More information

Table Of Contents. Ratio. Tape/Bar Diagrams. Ratio Table. Double Line Diagram. Rates and Unit Rates. Proportions. Finding Equivalent Rates.

Table Of Contents. Ratio. Tape/Bar Diagrams. Ratio Table. Double Line Diagram. Rates and Unit Rates. Proportions. Finding Equivalent Rates. RP Notes. Table Of Contents Ratio Tape/Bar Diagrams 3 4 Ratio Table 5 d Double Line Diagram 6 Rates and Unit Rates Proportions Finding Equivalent Rates Percent Discount Tips and Tax Percent Conversion

More information

Answer: The two quantities are equal 1. An equilateral triangle has equal side lengths, so the ratio is always going to be 1:1.

Answer: The two quantities are equal 1. An equilateral triangle has equal side lengths, so the ratio is always going to be 1:1. Question Test 2, Second QR Section (version ) The length of each side of equilateral triangle T is... QA: Ratio of one side of T to another side of T QB: Ratio of one side of X to another side of X Geometry:

More information

Algebra Course KUD. Green Highlight - Incorporate notation in class, with understanding that not tested on

Algebra Course KUD. Green Highlight - Incorporate notation in class, with understanding that not tested on Algebra Course KUD Yellow Highlight Need to address in Seminar Green Highlight - Incorporate notation in class, with understanding that not tested on Blue Highlight Be sure to teach in class Postive and

More information

Learning new things and building basic skills

Learning new things and building basic skills Math Review TABE Answer Key 2 Learning new things and building basic skills may be challenging for you, but they also can be very exciting. When you follow the guidelines for learning basic skills, you

More information

HOW TO ADD AND SUBTRACT MIXED NUMBERS

HOW TO ADD AND SUBTRACT MIXED NUMBERS WHAT'S THAT MEAN...? HOW TO ADD AND SUBTRACT MIXED NUMBERS 8 2/3 1 1/4 5 TWO METHODS THAT WORK!! 1 Method 1: Use Improper Fractions What size parts are the circles cut into? How many yellow parts are on

More information

Section 1.9 Algebraic Expressions: The Distributive Property

Section 1.9 Algebraic Expressions: The Distributive Property Section 1.9 Algebraic Expressions: The Distributive Property Objectives In this section, you will learn to: To successfully complete this section, you need to understand: Apply the Distributive Property.

More information

Year 6 Maths Objectives

Year 6 Maths Objectives Year 6 Maths Objectives Place Value COUNTING COMPARING NUMBERS IDENTIFYING, REPRESENTING & ESTIMATING NUMBERS READING & WRITING NUMBERS UNDERSTANDING PLACE VALUE ROUNDING PROBLEM SOLVING use negative numbers

More information