# From the Webisode: Math Meets Fashion

Save this PDF as:

Size: px
Start display at page:

Download "From the Webisode: Math Meets Fashion"

## Transcription

1 lesson CCSS CONNECTIONS Percent Markups From the Webisode: Math Meets Fashion In this lesson, s solve a multi-step problem by identifying percent markups of a whole and calculating a final sale price. LANGUAGE SUPPORT featuring Tim Gunn and Diane von Fűrstenberg teacher page 1 of 2 Find the percent of a quantity as a rate per, and solve problems. 6.RP.A.3c Use proportional relationships to solve multi-step ratio and percent problems. 7.RP.A.3 Understand a problem context by rewriting expressions in different forms. 7.EE.A.2 math terms percent part per identity property multiplying a number by 1 generates a product of 1 academic LaNgUage sale price price of clothes sold by stores to customers wholesale price price of clothes sold by designers to stores set up Introduce Chapter 5 from Math Meets Fashion. Ask questions to review Lesson 3 and connect to Lesson. For example: How did we use proportional reasoning to calculate how much fabric Jessalyn could buy? (We used proportional reasoning by identifying the unit price per 1_ yd ; by using a ratio; or with mental math.) How do you think designers choose a price to sell their clothing? (They add up the costs of paying their employees and buying materials, and include a profit.) Review the definitions of wholesale price and sale price with s, and point out the difference between the two terms. Play Chapter 5: Percent Markups. [Pause at 01:26.] plan Create a plan to solve the problem. Jessalyn spends \$50 to make a dress. She wants to make a 60% profit on the wholesale price. The store will add a 50% markup to the wholesale price. Find the wholesale price and the final sale price of Jessalyn s dress. Read the problem aloud to s. Ask s to analyze the information in the problem, and use logical thinking to break it down into parts. For example: What is the problem asking us to find? (the wholesale price and the final sale price of Jessalyn s dress) How can you begin solving the problem? (Calculate the wholesale price: find 60% of \$50, and then add the markup.) Guide s to represent the unknown quantity with a variable, whe re c = cost of the dress. (c + 0.6c = 1.6c)

2 lesson STANDARDS FOR MATHEMATICAL PRACTICE solve Percent Markups, continued Model With Mathematics Students represent changing quantities, and apply proportional reasoning to create a solution. From the Webisode: Math Meets Fashion Have pairs solve the problem as you circulate. Encourage s to come up with multiple strategies, and represent the problem situation in different ways. Guide s to work backwards to check their work. featuring Tim Gunn and Diane von Fűrstenberg teacher page 2 of 2 Use Repeated Reasoning Students reason using the generalized structure of price markups as a percentage of a whole. support Ask questions based on common errors to support understanding. Why do you need to find the wholesale price before you can find the sale price? How could you draw a model of the problem? Could you use a different solution strategy? How can you check your work? extend Ask questions to encourage s to extend their thinking. Did you represent the two percentages as fractions or decimals? Why? Why is it important to identify the percentage of two different wholes? What common error do you think someone could make when solving this problem? share Have s present their solutions. Ask s from each pair to explain their solutions to the class. Show at least two different approaches to solving the problem, and one incorrect solution. To extend classroom discussion, call on s to explain the reasoning of the who is presenting. Possible work: Cost of dress ( c ) \$50 Wholesale price ( w) 160% of \$50 w = 1.6c = 1.6 \$50 = \$50 + \$30 = \$80 Final sale price 150% of \$80 = 1.5 \$80 = \$80 + \$0 = \$120 Play the Chapter 5 Solution from Math Meets Fashion. Have s complete the Practice and Reflect sections on Student Page 2. HoMeWorK ideas Have s plan a pricing strategy! Students choose an item and plan a wholesale and a sale price. How much does the item cost to make? What is your profit as a percentage? What is the store profit from the sale price?

3 Your Name lesson math terms percent part per identity property multiplying a number by 1 generates a product of 1 plan Percent Markups Jessalyn spends \$50 to make a dress. She wants to make a 60% profit on the wholesale price. The store will add a 50% markup to the wholesale price. Find the wholesale price and the final sale price of Jessalyn s dress. Create a plan to solve the problem with your partner. page 1 of 2 solve Use your plan to solve the problem.

4 lesson practice Percent Markups, continued Apply your skills to solve another problem. Your Name page 2 of 2 Jessalyn spends \$75 to make a winter coat. She makes a 0% profit on the wholesale price. The store adds a 35% markup to the wholesale price to create the sale price. Find the difference between the final sale price and the cost of making the coat. reflect Explain how you made sense of the math. How could you use variables to represent the quantities in the problem? I could use variables to represent the quantities by How would you explain the problem to a younger? I would explain the problem by SCORE

5 lesson math terms percent part per identity property multiplying a number by 1 generates a product of 1 plan Percent Markups Your Name Jessalyn spends \$50 to make a dress. She wants to make a 60% profit on the wholesale price. The store will add a 50% markup to the wholesale price. Find the wholesale price and the final sale price of Jessalyn s dress. Create a plan to solve the problem with your partner. The original cost of the dress is \$50. I will draw models to show the percentage profit on the cost of making the dress, and the percentage profit on the wholesale price. First, I find 60% of \$50, and add this markup to \$50 to find the wholesale price. Then, I find 50% of the wholesale price, and add this markup to the wholesale price. page 1 of 2 POSSIBLE STUDENT WORK solve Use your plan to solve the problem. Wholesale price \$ % of \$50 Final sale price \$ % of \$80 \$50 \$80 60% of \$50 50% of \$80 60 = \$50 = \$30 \$50 + \$30 = \$80 50 = \$80 = \$0 \$80 + \$0 = \$120 The wholesale price of Jessalyn s dress is \$80, and the final sale price is \$120.

6 Your Name lesson practice Apply your skills to solve another problem. page 2 of 2 Percent Markups, continued POSSIBLE STUDENT WORK Jessalyn spends \$75 to make a winter coat. She makes a 0% profit on the wholesale price. The store adds a 35% markup to the wholesale price to create the sale price. Find the difference between the final sale price and the cost of making the coat. First, I add the 0% profit markup to the cost of making the coat to find the wholesale price. Then, I add the 35% profit markup to the wholesale price to find the sale price. Finally, I find the difference between the final sale price and the original cost. Cost of coat \$75 Wholesale price \$75 + 0% of \$75 0 = \$75 = \$30 \$75 + \$30 = \$105 Final sale price \$ % of \$ = \$105 = \$36.75 \$105 + \$36.75 = \$11.75 Difference between the final sale price and the cost of the coat \$11.75 \$75 = \$ reflect Explain how you made sense of the math. How could you use variables to represent the quantities in the problem? I could use variables to represent the quantities by writing the equation w = 1.0c, where w = wholesale price and c = the cost of the coat. How would you explain the problem to a younger? I would explain the problem by drawing a model to represent the quantities in the problem, and show how the quantities change. SCORE

### 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

### From the Webisode: Math Meets Culinary Arts

Connections to the Core Relish Ratios From the Webisode: Math Meets Culinary Arts In this lesson, s solve a multi-step problem by converting measurement units and scaling down quantities. language support

### Using Proportions to Solve Percent Problems I

RP7-1 Using Proportions to Solve Percent 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 solving

### Basic Understandings. Recipes for Functions Guess My Rule!

Activity: TEKS: Recipes for Functions Guess My Rule! (a). (3) Function concepts. A function is a fundamental mathematical concept; it expresses a special kind of relationship between two quantities. Students

### Multi-Step Problems Using the Four Operations 4. OA.A.3 Application Mini-Assessment by Student Achievement Partners

Multi-Step Problems Using the Four Operations 4. OA.A.3 Application Mini-Assessment by Student Achievement Partners OVERVIEW This mini-assessment is designed to illustrate the standard 4.OA.A.3, which

### Grade 8 Proportional Reasoning Lesson and Resources

Grade 8 Proportional Reasoning Lesson and Resources VSC Standard 6.0: Knowledge of Number Relationships and Computation/Arithmetic: Students will describe, represent, or apply numbers or their relationships

### CORE Assessment Module Module Overview

CORE Assessment Module Module Overview Content Area Mathematics Title Speedy Texting Grade Level Grade 7 Problem Type Performance Task Learning Goal Students will solve real-life and mathematical problems

### 4 th Grade. Math Common Core I Can Checklists

4 th Grade Math Common Core I Can Checklists Math Common Core Operations and Algebraic Thinking Use the four operations with whole numbers to solve problems. 1. I can interpret a multiplication equation

Grade Level/Course: Grades 6-7 Lesson/Unit Plan Name: Part 2 - Multiple Representations of Ratios: from concrete to operational. Rationale/Lesson Abstract: How comparing and contrasting multiple representations

### Select the best answer. a. 2 b. 54 c. 28 d. 66 e Compute: Divide: 5 3. b d e /2006

Select the best answer. 1. Simplify: + ( 8) + ( 1) + 8 a. b. 4 c. 8 d. e. 4. Compute: 4 1 + 8 a. 1 b. 1 10 c. 40 d. 40 e. 8 40. Divide: 14 1 a. 8 b. 1 c. 10 d. 1 e. 1 1 4/00 4. Simplify: a. 1 1 b. 1 9

### 7.2 Translating and Solving Percent Problems

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

### Prentice Hall Mathematics Courses 1-3 Common Core Edition 2013

A Correlation of Prentice Hall Mathematics Courses 1-3 Common Core Edition 2013 to the Topics & Lessons of Pearson A Correlation of Courses 1, 2 and 3, Common Core Introduction This document demonstrates

### These sample questions, selected from state end-of-course exams, cover the same algebraic concepts explored in the Math in Fashion lesson.

Math in Fashion: Sample Related End-of-Course (EOC) Questions These sample questions, selected from state end-of-course exams, cover the same algebraic concepts explored in the Math in Fashion lesson.

### Accentuate the Negative: Homework Examples from ACE

Accentuate the Negative: Homework Examples from ACE Investigation 1: Extending the Number System, ACE #6, 7, 12-15, 47, 49-52 Investigation 2: Adding and Subtracting Rational Numbers, ACE 18-22, 38(a),

### PERCENTS - compliments of Dan Mosenkis

PERCENTS - compliments of Dan Mosenkis Percent Basics: Percents are connected to many ideas: fractions, decimals, proportions, relative amounts, and multiplicative change. You could say they are like the

### 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

### LESSON TITLE: Math in Fashion (by Deborah L. Ives, Ed.D.) GRADE LEVEL: 7-10. SUBJECT MATTER: Algebra. TIME ALLOTMENT: Two 45-minute class periods

LESSON TITLE: Math in Fashion (by Deborah L. Ives, Ed.D.) GRADE LEVEL: 7-10 SUBJECT MATTER: Algebra TIME ALLOTMENT: Two 45-minute class periods OVERVIEW Using video segments and web interactives from Get

### ADDITIONAL INSTRUCTIONS: This task can be completed in one class period and might be used as a formative or summative assessment.

This task was developed by high school and postsecondary mathematics and agriculture sciences educators, and validated by content experts in the Common Core State Standards in mathematics and the National

### , Seventh Grade Math, Quarter 2

2016.17, Seventh Grade Math, Quarter 2 The following practice standards will be used throughout the quarter: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively.

### Fractions, Ratios, and Proportions Work Sheets. Contents

Fractions, Ratios, and Proportions Work Sheets The work sheets are grouped according to math skill. Each skill is then arranged in a sequence of work sheets that build from simple to complex. Choose the

### Mathematical Reasoning. Lesson 2: Division with Decimals. LESSON 2: Division with Decimals. Weekly Focus: Decimals Weekly Skill: Division

LESSON 2: Division with Decimals Weekly Focus: Decimals Weekly Skill: Division Lesson Summary: For the warm up, students will solve a word problem. In Activity 1, they will practice dividing whole numbers

### FBLA Introduction to Financial Math aligned with Common Core 6.14

FBLA: Introduction to Financial Math Competency: Basic Math Concepts CCSS Standards Addressed Description 1. Develop fluency in addition, subtraction, multiplication, and division of basic operations with

### Lesson Plan Assembly Line Grade 6 Ratios

CCSSM: Grade 6 DOMAIN: Ratios and Proportional Relationships Cluster: Understand ratio concepts and use ratio reasoning to solve problems. Standard: 6.RP. Understand the concept of a ratio and use ratio

### Pre-Algebra Curriculum Map 8 th Grade Unit 1 Integers, Equations, and Inequalities

Key Skills and Concepts Common Core Math Standards Unit 1 Integers, Equations, and Inequalities Chapter 1 Variables, Expressions, and Integers 12 days Add, subtract, multiply, and divide integers. Make

### 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

### DRAFT. New York State Testing Program Grade 7 Common Core Mathematics Test. Released Questions with Annotations

DRAFT New York State Testing Program Grade 7 Common Core Mathematics Test Released Questions with Annotations August 2014 Developed and published under contract with the New York State Education Department

### 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)

### Dear Teachers, Many Thanks, The Eureka Math Team Great Minds. All rights reserved. greatminds.net

Dear Teachers, During the listening tour, the Eureka Math Team enjoyed the opportunity to witness our curriculum being implemented in St. Charles classrooms. We listened carefully to the feedback you provided

### parent ROADMAP MATHEMATICS SUPPORTING YOUR CHILD IN GRADE SIX

TM parent ROADMAP MATHEMATICS SUPPORTING YOUR CHILD IN GRADE SIX 6 America s schools are working to provide higher quality instruction than ever before. The way we taught students in the past simply does

### 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)

### You might be surprised to know that the word T-shirt wasn t really used until

Hot Shirts Using Tables, Graphs, and Equations, Part 2 Learning Goals In this lesson, you will: Use different methods to represent a problem situation. Estimate values of expressions that involve decimals.

### Statistics and Probability Investigate patterns of association in bivariate data.

Performance Assessment Task Scatter Diagram Grade 9 task aligns in part to CCSSM grade 8 This task challenges a student to select and use appropriate statistical methods to analyze data. A student must

### Maths Progressions Number and algebra

This document was created by Clevedon School staff using the NZC, Maths Standards and Numeracy Framework, with support from Cognition Education consultants. It is indicative of the maths knowledge and

### RECOMMENDED COURSE(S): Algebra I or Geometry; Integrated Math I or II; Food Science; Food Processing and Products

This task was developed by high school and postsecondary mathematics and design/pre-construction educators, and validated by content experts in the Common Core State Standards in mathematics and the National

### Sec 3.1 Solving Equations Using Addition and Subtraction

Algebra 1 Chapter 3 Note Packet Name Sec 3.1 Solving Equations Using Addition and Subtraction *Goal of Solving an Equation: To ISOLATE the VARIABLE (get variable by itself) by making equivalent equations

### 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

### a. 2 b. 54 c. 28 d. 66 e. 45 5. A blouse that sold for \$59 was reduced 30%. After 6 months it was raised 30%. What was the last price of the blouse?

Pre-Algebra Topics COMPASS Review - revised Summer 0 You will be allowed to use a calculator on the COMPASS test. Acceptable calculators are basic calculators, scientific calculators, and approved graphing

### Grade 7 Math The Number System Grade 7 Math Grade 7 Math Start Date: August 30, 2012 End Date : September 28, 2012

Unit Overview Students will be able to: describe real life situations for quantities that combine to make zero understand the distance between two on a number line show how opposites have a sum of zero

### Publishing book. Reasoning in the classroom. Year 8. Support materials for teachers

Publishing book Reasoning in the classroom Support materials for teachers Year 8 Year 8 Reasoning in the classroom Publishing book These Year 8 activities are based around the context of book publishing.

### Ohio Markets Grade Four

Ohio Standards Connection: Economics Benchmark C Explain how competition affects producers and consumers in a market economy and why specialization facilitates trade. Indicator 6 Explain why many jobs

### Pre-Algebra A: Full Course Summary

Pre-Algebra A: Full Course Summary Course Summary This is the first of two courses that comprise Pre-Algebra. In this course, the student will be introduced to basic algebraic principles. The student will

### Connection to Common Core Math Standards

Topic: Gear Ratio and Velocity Teacher: Illana Gagliardi & Dawn Ramirez Genre: Math & Science Unit: Ratios & Proportions Grade Level: 6th grade Duration: 2 periods Essential Question (Domain 1: Planning

### Solving Systems of Linear Equations by Elimination

5.3 Solving Systems of Linear Equations by Elimination How can you use elimination to solve a system of linear equations? ACTIVITY: Using Elimination to Solve a System Work with a partner. Solve each system

### Lesson Plan -- Percent of a Number/Increase and Decrease

Lesson Plan -- Percent of a Number/Increase and Decrease Chapter Resources - Lesson 4-11 Find a Percent of a Number - Lesson 4-11 Find a Percent of a Number Answers - Lesson 4-12 Percent of Increase and

### 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

### Marginal Cost. Example 1: Suppose the total cost in dollars per week by ABC Corporation for 2

Math 114 Marginal Functions in Economics Marginal Cost Suppose a business owner is operating a plant that manufactures a certain product at a known level. Sometimes the business owner will want to know

### High School Functions Building Functions Build a function that models a relationship between two quantities.

Performance Assessment Task Coffee Grade 10 This task challenges a student to represent a context by constructing two equations from a table. A student must be able to solve two equations with two unknowns

### Seventh Grade: Mathematics Unit #2: Ratio, Proportion, and Percent

Seventh Grade: Mathematics Unit #2: Overarching Question: How do you use proportional reasoning to make sense of mathematical and real-world problems? Previous Unit: Similar Figures This Unit: Next Unit:

### Content Emphases for Grade 7 Major Cluster 70% of time

Critical Area: Geometry Content Emphases for Grade 7 Major Cluster 70% of time Supporting Cluster 20% of Time Additional Cluster 10% of Time 7.RP.A.1,2,3 7.SP.A.1,2 7.G.A.1,2,3 7.NS.A.1,2,3 7.SP.C.5,6,7,8

### Practice Problems to Prepare for Trades Math Assessment Test Form A (Answers are located at the end of this practice exam)

Practice Problems to Prepare for Trades Math Assessment Test Form A (Answers are located at the end of this practice exam) The actual Trades Math Assessment Test will have 0 questions few multiple choice

### Pre-AP Algebra 2 Lesson 2-1 Solving 2x2 Systems. 3x 2y 22 (6,2) 5x y 28 (1, 3)

Lesson 2-1 Solving 2x2 Systems Objectives: The students will be able to solve a 2 x 2 system of equations graphically and by substitution, as well as by elimination. Materials: paper, pencil, graphing

### 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

### Overview. Essential Questions. Grade 4 Mathematics, Quarter 2, Unit 2.1 Multiplying Multi-Digit Whole Numbers

Multiplying Multi-Digit Whole Numbers Overview Number of instruction days: 5 7 (1 day = 90 minutes) Content to Be Learned Use strategies based on place value and properties of operations to multiply a

### Number: Multiplication and Division

MULTIPLICATION & DIVISION FACTS count in steps of 2, 3, and 5 count from 0 in multiples of 4, 8, 50 count in multiples of 6, count forwards or backwards from 0, and in tens from any and 100 7, 9, 25 and

### Assessment For The California Mathematics Standards Grade 7

Introduction: Summary of Goals GRADE SEVEN By the end of grade seven, students are adept at manipulating numbers and equations and understand the general principles at work. Students understand and use

### PROBLEM SOLVING, REASONING, FLUENCY. Year 6 Term 1 Term 2 Term 3 Term 4 Term 5 Term 6 Number and Place Value. Measurement Four operations

PROBLEM SOLVING, REASONING, FLUENCY Year 6 Term 1 Term 2 Term 3 Term 4 Term 5 Term 6 Number and Place Value Addition and subtraction Large numbers Fractions & decimals Mental and written Word problems,

### The units DO NOT occupy corresponding

HFCC Math Lab NAT 03 Proportion Word Problems A proportion is mathematical statement showing that two ratios are equal. Proportions can be written two ways: Fraction Form: a c OR Column Form: a : b ::

### 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

### Proportional Reasoning Grade Six

Ohio Standards Connection Number and Number Systems Benchmark D Use models and pictures to relate concepts of ratio, proportion and percent. Benchmark I Use a variety of strategies, including proportional

### 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

### Math Released Set 2015. Algebra 1 PBA Item #13 Two Real Numbers Defined M44105

Math Released Set 2015 Algebra 1 PBA Item #13 Two Real Numbers Defined M44105 Prompt Rubric Task is worth a total of 3 points. M44105 Rubric Score Description 3 Student response includes the following

### TEACHER NOTES MATH NSPIRED

Math Objectives Students will use symbols to represent unknowns and variables. Students will look for patterns and represent generalizations Students will represent relationships among quantities using

### Essentials. Week by. Week. Algebra Alley

Week by Week MATHEMATICS Essentials Grade Algebra Alley A movie ticket costs \$ today. Inflation is expected to grow by four percent a year for the next several years. If n represents the current cost of

### This lesson plan is from the Council for Economic Education's publication:

This lesson plan is from the Council for Economic Education's publication: Mathematics and Economics: Grades 3-5 To purchase Mathematics and Economics: Grades 3-5, visit: http://store.councilforeconed.org/mathandecon35.html

### CALCULATING PERCENTAGES AND PERCENT PROBLEMS #21

CALCULATING PERCENTAGES AND PERCENT PROBLEMS #21 PERCENTAGES AND PERCENT PROBLEMS are calculated and solved using a variety of methods depending on the situation. Mental math strategies, calculations with

### You can use the properties of operations to help you simplify numerical expressions more easily. Properties of Addition. Properties of Multiplication

? Name 1.1 ALGEBRA Properties Essential Question How can you use properties of operations to solve problems? Number and Operations 5.3.K MATHEMATICAL PROCESSES 5.1.C, 5.1.G You can use the properties of

### Lesson 4: Solving and Graphing Linear Equations

Lesson 4: Solving and Graphing Linear Equations Selected Content Standards Benchmarks Addressed: A-2-M Modeling and developing methods for solving equations and inequalities (e.g., using charts, graphs,

### Planning teaching and learning using a lesson objective A professional development module

Planning teaching and learning using a lesson objective A professional development module Overview Where are you now? This unit aims to help you explore the use of an objective led approach to planning

### Section 1. Proportions

Worksheet.5 Percentages Section Proportions A pie is cut into twelve pieces. John eats five pieces, Peter eats one piece and Chris and Michael eat three pieces each. If we ask what proportion of the pie

### Mathematical Reasoning. Lesson 6: Fractions Multiplication and Division. LESSON 6: Fractions Multiplication and Division

LESSON 6: Fractions Multiplication and Division Weekly Focus: fractions Weekly Skill: multiplication, division Lesson Summary: First, students will solve a word problem involving fractions. In Activity

### Consumer Math 15 INDEPENDENT LEAR NING S INC E 1975. Consumer Math

Consumer Math 15 INDEPENDENT LEAR NING S INC E 1975 Consumer Math Consumer Math ENROLLED STUDENTS ONLY This course is designed for the student who is challenged by abstract forms of higher This math. course

### 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

### CORE Assessment Module Module Overview

CORE Assessment Module Module Overview Content Area Mathematics Title T-Shirts Grade Level Grade 7 Problem Type Performance Task Learning Goal Students will solve real-life and mathematical problems using

### Performance Assessment Task Cindy s Cats Grade 5. Common Core State Standards Math - Content Standards

Performance Assessment Task Cindy s Cats Grade 5 This task challenges a student to use knowledge of fractions to solve one- and multi-step problems with fractions. A student must show understanding of

### Solving Equations With Fractional Coefficients

Solving Equations With Fractional Coefficients Some equations include a variable with a fractional coefficient. Solve this kind of equation by multiplying both sides of the equation by the reciprocal of

### REVIEW SHEETS BASIC MATHEMATICS MATH 010

REVIEW SHEETS BASIC MATHEMATICS MATH 010 A Summary of Concepts Needed to be Successful in Mathematics The following sheets list the key concepts that are taught in the specified math course. The sheets

### Scarcity and Choices Grade One

Ohio Standards Connection: Economics Benchmark A Explain how the scarcity of resources requires people to make choices to satisfy their wants. Indicator 1 Explain that wants are unlimited and resources

### Math 1314 Lesson 8 Business Applications: Break Even Analysis, Equilibrium Quantity/Price

Math 1314 Lesson 8 Business Applications: Break Even Analysis, Equilibrium Quantity/Price Three functions of importance in business are cost functions, revenue functions and profit functions. Cost functions

### Using Khan Academy for GMAT Prep

Using Khan Academy for GMAT Prep Owl Test Prep 2016 The common core state math standards overlap with GMAT standards (pp 105 45 in the 2017 Official Guide) in a number of areas. I ve listed them below

### High School Mathematics Lesson Plan: Algebra

High School Mathematics Lesson Plan: Algebra Each lesson in the Adolescent Literacy Toolkit is designed to support students through the reading/learning process by providing instruction before, during,

### Parent Guide to mathematics in Year 6

Parent Guide to mathematics in Year 6 Ark Academy follows the Mathematics Mastery approach in Years R, 1,2,3 and 4. This will move up through the school with the children. In years 5 and 6 the National

### New York State Testing Program Grade 7 Common Core Mathematics Test. Released Questions. May 2016

New York State Testing Program Grade 7 Common Core Mathematics Test Released Questions May 2016 New York State administered the Mathematics Common Core Tests in April 2016 and is now making approximately

### GRADE 6 MATH: RATIOS AND PROPORTIONAL RELATIONSHIPS

GRADE 6 MATH: RATIOS AND PROPORTIONAL RELATIONSHIPS UNIT OVERVIEW This 4-5 week unit focuses on developing an understanding of ratio concepts and using ratio reasoning to solve problems. TASK DETAILS Task

### Dear Teachers, Many Thanks, The Eureka Math Team Great Minds. All rights reserved. greatminds.net

Dear Teachers, During the listening tour, the Eureka Math Team enjoyed the opportunity to witness our curriculum being implemented in St. Charles classrooms. We listened carefully to the feedback you provided

### Performance Assessment Task Bikes and Trikes Grade 4. Common Core State Standards Math - Content Standards

Performance Assessment Task Bikes and Trikes Grade 4 The task challenges a student to demonstrate understanding of concepts involved in multiplication. A student must make sense of equal sized groups of

### Stage 2 - Evidence. Curriculum Map Math-Course 2, Unit 1

Curriculum Map Math-Course 2, Unit 1 7.NS.A.1, 7.NS.A.1.a, 7.NS.A.1.b, 7.NS.A.1.c, 7.NS.A.1.d, 7.NS.A.2, 7.NS.A.2.a, 7.NS.A.2.b, 7.NS.A.2.c, 7.NS.A.2.d, 7.NS.A.3 Extend their study of procedural operations

### 1. Name of the unit: Let s think about multiplying and dividing decimal numbers (decimal number x whole number; decimal number whole number)

Grade 5 Mathematics Lesson Plan Date: June 26 (Tuesday), 2007, Period 5 Class: Takehaya Attached Elementary School, Tokyo Gakugei University Grade 5 Class # 2 (39 students) Teacher: Masahiro Seki 1. Name

### Summary of Skills and Scores

Skills Assessment Summary of Skills and Scores Applied Mathematics includes the mathematical reasoning, critical thinking and problemsolving techniques used to communicate work-related information and

### Mental Math Addition and Subtraction

Mental Math Addition and Subtraction If any of your students don t know their addition and subtraction facts, teach them to add and subtract using their fingers by the methods taught below. You should

### Order Up. For further information contact. Hillary Hendrix

Order Up For further information contact Hillary Hendrix Inwood Elementary 2200 Ave G NW Winter Haven, FL, Route: B (863) 291-5369 Hillary.hendrix@polk-fl.net n PROGRAM OVERVIEW It seems as though everything

### Clifton High School Mathematics Summer Workbook Algebra 1

1 Clifton High School Mathematics Summer Workbook Algebra 1 Completion of this summer work is required on the first day of the school year. Date Received: Date Completed: Student Signature: Parent Signature:

### Common Core State Standards

Common Core State Standards Common Core State Standards 7.NS.2 7.NS.2d 7.EE.3 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

### 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

Test 4 Sample Problem Solutions Convert from a decimal to a fraction: 0.023, 27.58, 0.777... For the first two we have 0.023 = 23 58, 27.58 = 27 1000 100. For the last, if we set x = 0.777..., then 10x

### Focus Questions Background Description Purpose

Focus Questions Background The student book is organized around three to five investigations, each of which contain three to five problems and a that students explore during class. In the Teacher Guide

### Multiply Greater Factors

Boost lesson 2c Students apply the Distributive Property and write equations to multiply two 2-digit factors. MATHEMATICAL BACKGROUND The Distributive Property is the basis for the standard algorithm.

### 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

### Cost-Volume-Profit Analysis

Cost-Volume-Profit Analysis Cost-volume-profit (CVP) analysis is used to determine how changes in costs and volume affect a company's operating income and net income. In performing this analysis, there

### DRAFT. New York State Testing Program Grade 8 Common Core Mathematics Test. Released Questions with Annotations

DRAFT New York State Testing Program Grade 8 Common Core Mathematics Test Released Questions with Annotations August 2014 Developed and published under contract with the New York State Education Department