Module 1 Study Guide
|
|
- Kelley Nichols
- 6 years ago
- Views:
Transcription
1 1. John is filling a bathtub that is 18 inches deep. He notices that it takes two minutes to fill the tub with three inches of water. He estimates it will take ten more minutes for the water to reach the top of the tub if it continues at the same rate. Is he correct? Eplain. Water Level (inches) Time (mins) Rate inches: 2 mins Unit Rate 1. inches: 1min Yes, Josh is correct, because in 10 more minutes the tub will reach the ma height of 18 inches. 2. You and your friends go to the movies. The cost of admission is $9.0 per person. Create a table showing the relationship between number of people going to the movies and the total cost of admission. Eplain why the cost of admission is proportional to the amount of people. Cost ($) # of people Helpful hints to solve this problem: -Identify the givens and goals. -Identify the rate; inches in 2 minutes -Find the Unit Rate; k = y -Set-up a table to organize the information -Set-up ratios of y to determine proportionality. -If all y ratios are equivalent, then we have a proportional relationship. Yes, the cost is proportional to the amount of people, because each ratio of cost/# of people are all equivalent to $9.0 per 1 person.. Graph the following tables and identify if the two quantities are proportional to each other on the graph. Eplain your thinking. -Proportional Relationships must be a straight line and go through the origin. -Verify set-up ratios, if all ratios are equivalent, it confirms that it s a proportional relationship. 1 = 2 6 = 9 = 12 All ratios simplify to 1 Yes, these two quantities are proportional, because the line is straight and is going through the origin.
2 . Each school year, the 7th graders who study Life Science participate in a special field trip to the city zoo. In 2010, the school paid $1260 for 8 students to enter the zoo. In 2011, the school paid $100 for 70 students to enter the zoo. In 2012, the school paid $19 for 9 students to enter the zoo. a. Is the price the school pays each year in entrance fees proportional to the number of students entering the zoo? Eplain why or why not. Cost # of students All ratios simplify to $1/1 student admission Yes, all ratios are equivalent, therefore this is a proportional relationship. c. Identify the constant of proportionality and eplain what it means in the contet of this situation. k = = 1 For every 1 person, it costs $1. d. Write an equation for this situation. y = 1 Set-up ratios to identify if they are equivalent. k = y # of students = independent Cost = dependent in contet means to eplain the constant in terms of the the zoo. Equation: y = k If I know the -value, multiply by k If I know my y-value, divide by k e. What would the school pay if 120 students entered the zoo? 1(120) = $1800 f. How many students would enter the zoo if the school paid $1,2? 12/1 = 9 students. It cost $ to send 6 packages through a certain shipping company. Consider the number of packages per dollar. a. Find the constant of proportionality for this situation packages = $ $1 b. Write an equation to represent the relationship. y = Suppose that the cost of renting a snowmobile is $7.0 for hours. a. If the c = cost and h = hours, which variable is the dependent variable? Eplain why. Independent= hours, dependent = cost (without hours there is no cost) b. What is the Unit Rate of this situation? 7.0 = k = $7.0 1 hour When it says per dollar we want our denominator to represent money. k = y Equation: y = k Independent = doesn t rely on the other value Dependent = relies on the independent value k = y = Unit Rate c. Write an equation to represent the relationship. c = 7.h OR y = 7. d. What would be the cost of renting 2 snow mobiles for hours each? = $7.00 OR (7. ) 2 = $7.00
3 7. If ¾ lb. of candy cost $20.0, how much would 1 lb. of candy cost? $20. 0 lb $27. = 1 lb Need to find for 1 pound Reminder: anything divided by itself is 1. One pound of candy will cost $ The table below shows the combination of dry prepackaged mi and water to make concrete. The mi says for every 1 gallon of water stir 60 pounds of dry mi. We know that 1 gallon of water is equal to 8 pounds. Using the information provided in the table, complete the remaining parts of the table. Find the unit rate of mi/water If I know my water multiply by the constant. If I know my mi, divide by the constant When given only the total, find a new unit rate of total/water When dividing fractions, change to improper fractions, with common denominators. Mi/Water = 7. dry mi/ 1 pound of water Total/water= 8. total pounds/1 pound of water 9. Mark bought an electronic tablet on sale for ¼ off its original price of $ He also wanted to use a coupon for a 1 off the sales price. Before taes, how much did Mark pay for the tablet? $82 $82 $206.2 = $618.7 $ $12.7 = $9.00 The final cost of the tablet is $ $ Hayden likes building radio-controlled sailboats with her father. One of the sails, shaped like a right triangle, has side lengths measuring 6 inches, 8 inches and 10 inches. To log her activity, Hayden creates and collects drawings of all the boats she and her father built together. Using the scale factor of 1/, draw a scale drawing of sail. 6 in. 8 in. 10 in = 6 = in = 8 = 2 in = 10 = in in. 2 in in. This questions has two parts First, do ¼ off the original price, then 1/ off the new sale price. ¼ off means I need to divide the original price into equal sections and remove one. 1/ of sale price, take your new sale price and divide it into equal sections and remove one. Draw a picture. Scale Factor: if greater than 1, it s an enlargement; if less than 1, it s a reduction. Multiply each length by the scale factor.
4 1 inch Cranberry Juice (cups) Name: Period: Date: 11. Students are responsible for providing snacks and drinks for the Junior Beta Club Induction Reception. Susan and Myra were asked to provide the punch for the 100 students and family members who will attend the event. The chart below will help Susan and Myra determine the proportion of cranberry juice to sparkling water that will be needed to make the punch. Complete the chart, graph the data, and write the equation that models this proportional relationship. Sparkling water (cups) Cranberry juice (cups) 1 / / Drinks for Beta Club k = y = Unit Rate Cranberry/Water If I know my -value, multiply by the constant to find y. If I know my y- value, divide by the constant to find. Equation: y = k (k is my constant) Graphing: intervals need to be consistent. Should show a straight line, going through the origin (proportional) Be sure to label your ais and title the graph Sparkling Water (cups) Equation: 12. The portrait company that takes little league baseball team photos is offering an option where a portrait of your baseball pose can be enlarged to be used as a wall decal (sticker). Your height in the portrait measures ½ inches. If the company uses a scale where 1 inch on the portrait represents 20 inches on the wall decal, find the height on the wall decal. Your actual height is inches. If you stand net to the wall decal, will it be larger or smaller than you? Scale Factor: 20 y = 1. On the mall floor plan, 1 inch represents feet in the actual store. What would be the area of the actual store? The scale drawing of the store is below. 2 inches Store. in. Area of drawing: 2 1 = 2 in 2 Method 2: 1 in = 12 ft (actual length) 2 inch = 2 ft (actual length) Actual area: 12 2 = 288 ft 2 Unit Rate: cranberry/1 water Given scale: 1 inch = 20 inches Portrait 1 2. Height (in) Decal Height (in) His decal will be 70 inches; which is 1 inches taller than his actual height. Scale: ¼ inch = ft (6 inches) Method 1: Scale Factor: 6 1 = 1 Square the scale factor: 1 2 = 20,76 Real area (actual area multiplied by the scale factor square): 2 20,76= 1,72 in 2 Convert back to feet (divide by a square foot (1 in 2 ): 1,72/1 = 288 ft 2. If different units, convert-this problem is ok. Set up a table Draw a picture Scale Factor: actual/drawing Multiply drawing lengths by the scale factor. Scale-convert both to inches. Method 1: 1. Find scale factor 2. Square the scale factor. Multiply the squared scale factor by the area of the drawing. Method 2: Convert drawing lengths to actual lengths (in feet), then find the new area.
5
WS Stilwell Practice 6-1
Name Date Pd WS Stilwell Practice 6-1 Write each ratio in three different ways. Write your answer in simplest form. 1) 2) triangles to total circles to triangles 3) 4) all figures to circle triangles to
More informationLesson 17: The Unit Rate as the Scale Factor
Student Outcomes Students recognize that the enlarged or reduced distances in a scale drawing are proportional to the corresponding distance in the original picture. Students recognize the scale factor
More informationModule 1. Ratios and Proportional Relationships Lessons Lesson #15 You need: pencil, calculator and binder. Do Now:
Module 1 Ratios and Proportional Relationships Lessons 15 19 Lesson #15 You need: pencil, calculator and binder. Do Now: 1. The table gives pairs of values for the variables x and y. x 1 2 3 y 3 6 9 Determine
More informationLesson 12: Ratios of Fractions and Their Unit Rates
Student Outcomes Students use ratio tables and ratio reasoning to compute unit rates associated with ratios of fractions in the context of measured quantities, e.g., recipes, lengths, areas, and speed.
More informationPMI 6th Grade Ratios & Proportions
Unite Rate Packet.notebook December 02, 2016 www.njctl.org PMI 6th Grade Ratios & Proportions 2016 09 19 www.njctl.org www.njctl.org Table of Contents Click on the topic to go to that section Writing Ratios
More informationChapter 4 YOUR VOCABULARY
C H A P T E R 4 YOUR VOCABULARY This is an alphabetical list of new vocabulary terms you will learn in Chapter 4. As you complete the study notes for the chapter, you will see Build Your Vocabulary reminders
More informationLesson 17: The Unit Rate as the Scale Factor
Classwork Example 1: Jake s Icon Jake created a simple game on his computer and shared it with his friends to play. They were instantly hooked, and the popularity of his game spread so quickly that Jake
More informationEureka Math Module 1 - Ratios and Proportional Relationships
Topic A Lesson 1: An Experience in Relationships as Measuring Rate Lesson 2: Proportional Relationships Lesson 3: Identifying Relationships in Tables Lesson 4: Identifying Relationships in Tables Lesson
More informationLesson 17: The Unit Rate as the Scale Factor
Classwork Example 1: Jake s Icon Jake created a simple game on his computer and shared it with his friends to play. They were instantly hooked, and the popularity of his game spread so quickly that Jake
More information+ 4 ~ You divided 24 by 6 which equals x = 41. 5th Grade Math Notes. **Hint: Zero can NEVER be a denominator.**
Basic Fraction numerator - (the # of pieces shaded or unshaded) denominator - (the total number of pieces) 5th Grade Math Notes Mixed Numbers and Improper Fractions When converting a mixed number into
More informationCONSTANT RATE OF CHANGE & THE POINT-SLOPE FORMULA
CONSTANT RATE OF CHANGE & THE POINT-SLOPE FORMULA 1. In Worksheet 3 we defined the meaning of constant rate of change. a. Explain what it means for two quantities to be related by a constant rate of change.
More informationCopyright 2014 Edmentum - All rights reserved.
Study Island Copyright 2014 Edmentum - All rights reserved. Generation Date: 03/05/2014 Generated By: Brian Leslie Unit Rates 1. Tanya is training a turtle for a turtle race. For every of an hour that
More information7 Mathematics Curriculum
New York State Common Core 7 Mathematics Curriculum GRADE Table of Contents 1 Percent and Proportional Relationships GRADE 7 MODULE 4... 3 Topic A: Finding the Whole (7.RP.A.1, 7.RP.A.2c, 7.RP.A.3)...
More informationUsing Tables of Equivalent Ratios
LESSON Using Tables of Equivalent Ratios A table can be used to show the relationship between two quantities. You can use equivalent ratios to find a missing value in a table. EXAMPLE A The table shows
More informationAdding & Subtracting Decimals. Multiplying Decimals. Dividing Decimals
1. Write the problem vertically, lining up the decimal points. 2. Add additional zeroes at the end, if necessary, to make the numbers have the same number of decimal places. 3. Add/subtract as if the numbers
More informationSection 1.4 Fractions LAWS & PROCESSES. Addition of Fractions DEFINITIONS & BASICS. 1. Common Denominator 2. Add numerators 3. Carry by denominator
34 Fractions DEFINITIONS & BASICS 1) Numerator the top of a fraction 2) Denominator the bottom of the fraction 3) Simplify Fractions are simplified when the numerator and have no factors in common. 4)
More informationRATIOS AND PROPORTIONS
UNIT 6 RATIOS AND PROPORTIONS NAME: GRADE: TEACHER: Ms. Schmidt Equal Ratios and Proportions Classwork Day 1 Vocabulary: 1. Ratio: A comparison of two quantities by division. Can be written as b a, a :
More informationUnit 9 Notes: Proportions. A proportion is an equation stating that two ratios (fractions) are equal.
Name: Block: Date: MATH 6/7 NOTES & PRACTICE Unit 9 Notes: Proportions A proportion is an equation stating that two ratios (fractions) are equal. If the cross products are equivalent, the two ratios form
More informationMATH 021 TEST 2 REVIEW SHEET
TO THE STUDENT: MATH 021 TEST 2 REVIEW SHEET This Review Sheet gives an outline of the topics covered on Test 2 as well as practice problems. Answers for all problems begin on page 8. In several instances,
More informationVocabulary: colon, equivalent ratios, fraction, part-to-part, part-to-whole, ratio
EE8-39 Ratios and Fractions Pages 144 147 Standards: preparation for 8.EE.B.5 Goals: Students will review part-to-part and part-to-whole ratios, different notations for a ratio, and equivalent ratios.
More informationRatios, Rates & Proportions
Slide 1 / 130 Ratios, Rates & Proportions Table of Contents Click on the topic to go to that section Slide 2 / 130 Writing Ratios Equivalent Ratios Rates Writing an Equivalent Rate Proportions Application
More informationSlide 1 / 130. Ratios, Rates & Proportions
Slide 1 / 130 Ratios, Rates & Proportions Slide 2 / 130 Table of Contents Click on the topic to go to that section Writing Ratios Equivalent Ratios Rates Writing an Equivalent Rate Proportions Application
More informationStandardized Tasks. Seventh Grade. Four identical triangles are arranged inside a rectangle as shown. The figure is not drawn to scale.
Standardized Tasks Seventh Grade Problem 1 (from NCTM: Mathematics Assessment Sampler) Objective 5.04 Develop fluency in the use of formulas to solve problems Four identical triangles are arranged inside
More informationNorthern York County School District Curriculum
Northern York County School District Curriculum Course Name Grade Level Mathematics Fourth grade Unit 1 Number and Operations Base Ten Time Frame 4-5 Weeks PA Common Core Standard (Descriptor) (Grades
More informationThird Grade Mathematics
Standard 1: Number & Operation 3.M.1.1.1 Read, write, compare, and order whole numbers to 10,000. (287.01.a) and use numbers 38-40% and use numbers Content Limit: When comparing numbers between 1,000 and
More informationAlgebra 1 2 nd Six Weeks
Algebra 1 2 nd Six Weeks Second Six Weeks October 6 November 14, 2014 Monday Tuesday Wednesday Thursday Friday October 6 B Day 7 A Day 8 B Day 9 A Day 10 B Day Elaboration Day Test 1 - Cluster 2 Test Direct
More informationRatios and Proportional Relationship
GREELEY-EVANS SCHOOL DISTRICT 6 Ratios and Proportional Relationship Module 1 August 14th October 3rd Student Page 1 Lesson 1: An Experience in Relationships as Measuring Rate Classwork Example 1: How
More information4-5 Convert Measurement Units. Complete ft = yd SOLUTION: Since 1 yard = 3 feet, multiply by lb = oz SOLUTION:
Complete. 1. 18 ft = yd Since 1 yard = 3 feet, multiply by. 2. 2 lb = oz Since 16 ounces = 1 pound, multiply by. 3. 6.5 c = fl oz Since 8 fluid ounces = 1 cup, multiply by. 4. 2 mi = ft Since 5,280 feet
More informationWednesday, May 4, Proportions
Proportions Proportions Proportions What are proportions? Proportions What are proportions? - If two ratios are equal, they form a proportion. Proportions can be used in geometry when working with similar
More informationMath 7 Notes - Part A: Ratio and Proportional Relationships
Math 7 Notes - Part A: Ratio and Proportional Relationships CCSS 7.RP.A.: Recognize and represent proportional relationships between quantities. RATIO & PROPORTION Beginning middle school students typically
More informationPart Mark Answer Further Information. Part Mark Answer Further Information Award 1 mark for 20, 15, 35 or. Part Mark Answer Further Information
Cambridge International Examinations Cambridge Checkpoint MATHEMATICS 1112/01 Paper 1 For Examination from 2014 SPECIMEN MARK SCHEME MAXIMUM MARK: 50 This document consists of 11 printed pages and 1 blank
More informationChapter Test A For use after Chapter 2
Chapter Test A For use after Chapter Evaluate the epression. 1. (18 9) 11. 8( )(5) 3. 1. 4.7 1.5 4. t 4 17 5. 8 c ( 10) 6. 4(6) Identify the property that the statement illustrates. 7. 10 3 3 ( 10) 8.
More informationSolve the problem. 1) A layer of paint on a piece of wood has a thickness of 1 inch. The thickness of the piece of wood. is 1 3
HW2B (Fractions Part 2) Date:, Name Please do not use any calculator in doing your homework. You need Scantron 882E. Please use a pencil to mark the answers. Make sure your Scantron is clean, flat, and
More informationName Date Class. When solving multi-step equations, first combine like terms on each side if possible. Then use inverse operations.
x-x 1-x 1-4 Solving Two-Step and Multi-Step Equations When solving multi-step equations, first combine like terms on each side if possible. Then use inverse operations. 4x 3 15 Operations x is multiplied
More informationMeasurement and Data Core Guide Grade 4
Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit (Standards 4.MD.1 2) Standard 4.MD.1 Know relative sizes of measurement units within each system
More informationWarm Up. Solve each equation. Check your answer. 1. 6x = m = y =18.4
Warm Up Solve each equation. Check your answer. 1. 6x = 36 6 2. 3. 5m = 18 4. 48 3.6 63 5. 8y =18.4 2.3 Write and use ratios, rates, and unit rates. Write and solve proportions. Objectives Key Concepts
More informationLESSON F3.1 RATIO AND PROPORTION
LESSON F. RATIO AND PROPORTION LESSON F. RATIO AND PROPORTION 7 8 TOPIC F PROPORTIONAL REASONING II Overview You have already studied fractions. Now you will use fractions as you study ratio and proportion.
More informationReview. 3. Casey tossed a coin 25 times and recorded the results. What percent of the coin tosses came out heads?
Name: Period: Review 1. Rectangle ABCD is 3 inches wide and 6 inches high. The rectangle is reduced to rectangle EFGH, which is 1 inch wide and 2 inches high. What is the scale factor for the reduction?
More informationSolving Equations Unit One
Solving Equations Unit One Name: Period: Lesson #1 Solving One and Two Step Equations An is a mathematical sentence that contains a. One step equations are easily solved mentally, by using. When we use
More informationSelected Answers for Core Connections, Course 2
Selected Answers for Core Connections, Course 2 Lesson 6.1.1 6-6. x x + 1 3 = 2 b: 2x 2 + 4x x + 2 3 = 2x 2 + 3x 1 6-7. Parts a, c, and d match the perimeter. 6-8. a: 23 20 or 1 3 20 d: 19 15 or 1 4 15
More informationGo MATH! Aligned! Get ready for. 4th grade. Refine, Review, & Learn something New. Summer themed math packet aligned to get you ready for 4th grade
Go MATH! Aligned! Get ready for 4th grade Refine, Review, & Learn something New Summer themed math packet aligned to get you ready for 4th grade Ordering & writing numbers to the thousands Use the following
More informationFactor. 7th Grade Math. Ratios & Proportions. Writing Ratios. 3 Examples/ Counterexamples. Vocab Word. Slide 2 / 184. Slide 1 / 184.
Slide / Slide / New Jersey Center for Teaching and Learning Progressive Mathematics Initiative This material is made freely available at www.njctl.org and is intended for the non-commercial use of students
More informationMs. Campos - Math 7 Unit 5 Ratios and Rates
Ms. Campos - Math 7 Unit 5 Ratios and Rates 2017-2018 Date Lesson Topic Homework W 6 11/22 1 Intro to Ratios and Unit Rates Lesson 1 Page 4 T 11/23 Happy Thanksgiving! F 11/24 No School! M 1 11/27 2 Unit
More informationLesson 16: The Computation of the Slope of a Non Vertical Line
++ Lesson 16: The Computation of the Slope of a Non Vertical Line Student Outcomes Students use similar triangles to explain why the slope is the same between any two distinct points on a non vertical
More informationName Date. and y = 5.
Name Date Chapter Fair Game Review Evaluate the epression when = and =.... 0 +. 8( ) Evaluate the epression when a = 9 and b =.. ab. a ( b + ) 7. b b 7 8. 7b + ( ab ) 9. You go to the movies with five
More informationRatios and Proportions in the Common Core NCCTM State Mathematics Conference
Ratios and Proportions in the Common Core NCCTM State Mathematics Conference Robin Barbour robin.barbour@dpi.nc.gov www.ncdpi.wikispaces.net 11/1/11 2 Ratios and Proportions 6.RP Understand ratio concepts
More informationPearson's Ramp-Up Mathematics
Introducing Slope L E S S O N CONCEPT BOOK See pages 7 8 in the Concept Book. PURPOSE To introduce slope as a graphical form of the constant of proportionality, k. The lesson identifies k as the ratio
More informationNAME DATE PERIOD. Study Guide and Intervention
1-1 A Plan for Problem Solving Four-Step Problem-Solving Plan When solving problems, it is helpful to have an organized plan to solve the problem. The following four steps can be used to solve any math
More information1. Find the least common multiple (LCM) of the numbers 8, 6. A) 48 B) 2 C) 24 D) 1 E) 8
. Find the least common multiple (LCM) of the numbers 8, 6. A) 48 B) C) 4 D) E) 8. Find the least common multiple (LCM) of the numbers 0, 6. A) 0 B) C) 60 D) E) 80. Find the least common multiple (LCM)
More information1. Find the least common multiple (LCM) of the numbers 8, 10. A) 80 B) 2 C) 40 D) 1 E) 8
. Find the least common multiple (LCM) of the numbers 8, 0. A) 80 B) 2 C) 40 D) E) 8 2. Find the least common multiple (LCM) of the numbers 6, 4. A) 6 B) 2 C) 84 D) E) 42. Find the least common multiple
More informationSummer Math Calendar
Going into Third Grade Directions: Follow the daily activities to practice different math concepts. Feel free to extend any of the activities listed. When the work is completed, have a parent initial the
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find all the factors of the number. ) 30,, 3,, 6, 0,, 30 B),, 3,, 6, 0, 0, 30 C), 6, 0, 30 D),, 6,
More informationNumber Line: Comparing and Ordering Integers (page 6)
LESSON Name 1 Number Line: Comparing and Ordering Integers (page 6) A number line shows numbers in order from least to greatest. The number line has zero at the center. Numbers to the right of zero are
More informationGRADE LEVEL: SEVENTH SUBJECT: MATH DATE: CONTENT STANDARD INDICATORS SKILLS ASSESSMENT VOCABULARY ISTEP
GRADE LEVEL: SEVENTH SUBJECT: MATH DATE: 2015 2016 GRADING PERIOD: QUARTER 2 MASTER COPY 10 8 15 CONTENT STANDARD INDICATORS SKILLS ASSESSMENT VOCABULARY ISTEP COMPUTATION Unit Rates Ratios Length Area
More informationEureka Math Module 1 - Ratios and Proportional Relationships
Name Hour Bring this curriculum packet with you to class every day. Topic A Lesson 1: An Experience in Relationships as Measuring Rate Lesson 2: Proportional Relationships Lesson 3: Identifying Relationships
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write a fraction to represent the shaded part of the object. 1) A) 1 3 3 1 C) 3 4 2) D) 1 4 A) 1 6
More informationLesson 18: Computing Actual Lengths from a Scale Drawing
Classwork Example 1: Basketball at Recess? Vincent proposes an idea to the Student Government to install a basketball hoop along with a court marked with all the shooting lines and boundary lines at his
More informationRevision G4. Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What is the perimeter of this figure?
Revision G4 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What is the perimeter of this figure? a. 12 cm c. 16 cm b. 24 cm d. 32 cm 2. Becky is using
More information7 Mathematics Curriculum
Common Core 7 Mathematics Curriculum GRADE Table of Contents Percent and Proportional Relationships GRADE 7 MODULE 4 Module Overview... 3 Topic A: Finding the Whole (7.RP.A., 7.RP.A.2c, 7.RP.A.3)... Lesson
More information7th Grade. Slide 1 / 206. Slide 2 / 206. Slide 3 / 206. Ratios and Proportions. Table of Contents
Slide 1 / 206 Slide 2 / 206 7th Grade Ratios and Proportions 2015-11-18 www.njctl.org Table of Contents Slide 3 / 206 Writing Ratios Equivalent Ratios Rates Proportions Direct & Indirect Relationships
More information7th Grade Ratios and Proportions
Slide 1 / 206 Slide 2 / 206 7th Grade Ratios and Proportions 2015-11-18 www.njctl.org Slide 3 / 206 Table of Contents Writing Ratios Equivalent Ratios Rates Proportions Direct & Indirect Relationships
More informationSTATION #1: VARIABLES ON BOTH SIDES (BASIC) Copy and solve each equation. Show all work. 2. z = 84 6z z = 12 OPTIONAL CHALLENGE QUESTIONS:
STATION #1: VARIABLES ON BOTH SIDES (BASIC) Copy and solve each equation. Show all work. 1. 18 6x = 2x + 6 x = 3 2. z = 84 6z z = 12 3. 3 f = 6f + 24 f = 3 4. 3(2 + m) = 2(3 m) m = 0 5. 4(2y 1) + 5 = 3y
More informationPennsylvania System of School Assessment
Mathematics, Grade 04 Pennsylvania System of School Assessment The Assessment Anchors, as defined by the Eligible Content, are organized into cohesive blueprints, each structured with a common labeling
More informationStudy Island. 2. A bakery makes the same number of cupcakes each hour, as shown on the graph below.
Name: Section: Study Island Copyright 2018 Edmentum - All rights reserved. Generation Date: 03/06/2018 Generated By: Lindsey Sullenberger 1. Which two ordered pairs represent a proportional relationship?
More information1. An NFL playing field (not counting the end zones) is 300 feet long and 160 feet wide. What is the perimeter? What is the area?
Geometry: Perimeter and Area Practice 24 Many sports require a rectangular field of play which is a specific length and width. Use the information given in the problems below to compute the perimeter and
More informationBridge to College Mathematics Unit 3. Measurement and Proportional Reasoning Student Manual
SREB Readiness Courses Transitioning to college and careers Bridge to College Mathematics Unit 3. Measurement and Proportional Reasoning Student Manual Name 1 Bridge to College Mathematics. Unit 3. Student
More informationMath 2 nd Grade GRADE LEVEL STANDARDS/DOK INDICATORS
Number Properties and Operations Whole number sense and addition and subtraction are key concepts and skills developed in early childhood. Students build on their number sense and counting sense to develop
More informationVariables and Patterns Practice Answers
Investigation Additional Practice. a. Day is the independent variable and number of cans is the dependent variable; the number of cans depends on the day. b. Day collected the most cans of food, about
More informationPROPORTIONAL VERSUS NONPROPORTIONAL RELATIONSHIPS NOTES
PROPORTIONAL VERSUS NONPROPORTIONAL RELATIONSHIPS NOTES Proportional means that if x is changed, then y is changed in the same proportion. This relationship can be expressed by a proportional/linear function
More information4 th Grade Mathematics Learning Targets By Unit
INSTRUCTIONAL UNIT UNIT 1: WORKING WITH WHOLE NUMBERS UNIT 2: ESTIMATION AND NUMBER THEORY PSSA ELIGIBLE CONTENT M04.A-T.1.1.1 Demonstrate an understanding that in a multi-digit whole number (through 1,000,000),
More informationLesson 1: An Experience in Relationships as Measuring Rate
Lesson 1 Lesson 1: An Experience in Relationships as Measuring Rate Classwork Example 1: How fast is our class? Record the results from the paper-passing exercise in the table below. Trial Number of Papers
More informationMrs. Ambre s Math Notebook
Mrs. Ambre s Math Notebook Almost everything you need to know for 7 th grade math Plus a little about 6 th grade math And a little about 8 th grade math 1 Table of Contents by Outcome Outcome Topic Page
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find all the factors of the number.
Test Bank for Basic College Mathematics through Applications 5th Edition by Akst and Bragg Link download full: Test Bank for Basic College Mathematics through Applications 5th Edition by Akst and Bragg
More informationUNIT 5. Integers and Rational Numbers on the Number Line CCM6 and CCM6+ Name: Math Teacher: Estimated Test Date:
UNIT 5 Integers and Rational Numbers on the Number Line 2015-2016 CCM6 and CCM6+ Name: Math Teacher: Estimated Test Date: Main Concepts Page(s) Unit 5 Vocabulary 2 Converting Fractions, Decimals, and Percents
More informationFor Preview Only GEO5 STUDENT PAGES. GEOMETRY AND MEASUREMENT Student Pages for Packet 5: Measurement. Name Period Date
Name Period Date GEO5 STUDENT PAGES GEOMETRY AND MEASUREMENT Student Pages for Packet 5: GEO5.1 Conversions Compare measurements within and between measurement systems. Convert measurements within and
More informationSummer Solutions Problem Solving Level 4. Level 4. Problem Solving. Help Pages
Level Problem Solving 6 General Terms acute angle an angle measuring less than 90 addend a number being added angle formed by two rays that share a common endpoint area the size of a surface; always expressed
More information2018 TAME Middle School Practice State Mathematics Test
2018 TAME Middle School Practice State Mathematics Test (1) Noah bowled five games. He predicts the score of the next game he bowls will be 120. Which list most likely shows the scores of Kent s first
More informationReview for Mastery. Identifying Linear Functions
Identifying Linear Functions You can determine if a function is linear by its graph, ordered pairs, or equation. Identify whether the graph represents a linear function. Step 1: Determine whether the graph
More informationGraphing Linear Nonproportional Relationships Using Slope and y-intercept
L E S S O N. Florida Standards The student is epected to: Functions.F.. Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the
More informationThanks for downloading this product from Time Flies!
Thanks for downloading this product from Time Flies! I hope you enjoy using this product. Follow me at my TpT store! My Store: https://www.teacherspayteachers.com/store/time-flies Copyright 2018 Time Flies
More informationAnswers for the lesson Plot Points in a Coordinate Plane
LESSON 3.1 Answers for the lesson Plot Points in a Coordinate Plane Skill Practice 1. 5; 23 2. No; the point could lie in either Quadrant II or Quadrant IV. 3. (3, 22) 4. (, 21) 5. (4, 4) 6. (24, 3) 7.
More informationSTATION #1: VARIABLES ON BOTH SIDES (BASIC) Copy and solve each equation. Show all work. OPTIONAL CHALLENGE QUESTIONS:
STATION #1: VARIABLES ON BOTH SIDES (BASIC) Copy and solve each equation. Show all work. 1. 18 6x = 2x + 6 2. z = 84 6z 3. 3 f = 6f + 24 4. 3(2 + m) = 2(3 m) 5. 4(2y 1) + 5 = 3y + 1 1. Solve the equation:
More informationCore Connections, Course 2 Checkpoint Materials
Core Connections, Course Checkpoint Materials Notes to Students (and their Teachers) Students master different skills at different speeds. No two students learn exactly the same way at the same time. At
More informationReleased Items. Grade 6 Mathematics North Carolina End-of-Grade Assessment. Published January 2019
Released Items Published January 2019 Grade 6 Mathematics North Carolina End-of-Grade Assessment Public Schools of North Carolina Department of Public Instruction State Board of Education Division of Accountability
More informationMATH NEWS. 5 th Grade Math. Focus Area Topic A. Grade 5, Module 2, Topic A. Words to know. Things to Remember:
MATH NEWS Grade 5, Module 2, Topic A 5 th Grade Math Focus Area Topic A Math Parent Letter This document is created to give parents and students a better understanding of the math concepts found in Eureka
More informationGrade 7 Math notes Unit 5 Operations with Fractions
Grade 7 Math notes Unit Operations with Fractions name: Using Models to Add Fractions We can use pattern blocks to model fractions. A hexagon is whole A trapezoid is of the whole. A parallelogram is of
More informationMath Ready Unit 3. Measurement and Proportional Reasoning Student Manual
SREB Readiness Courses Transitioning to college and careers Math Ready Unit 3. Measurement and Proportional Reasoning Name 1 Math Ready. Unit 3. Unit 3. Measurement and Proportional Reasoning Table of
More informationMath Mammoth Grade 6 End of the Year Test Notes
Math Mammoth Grade 6 End of the Year Test Notes This test is very long, because it contains questions on all major topics covered in Math Mammoth Grade 6 Complete Curriculum. Its main purpose is to be
More informationEssentials. Week by. Week. Investigations
Week by Week MATHEMATICS Essentials Grade 5 WEEK 8 Math Trivia Leonard Euler (707-78) was one of the most productive writers of scientific and mathematical books and papers. Even though he was blind, he
More informationHIGLEY UNIFIED SCHOOL DISTRICT INSTRUCTIONAL ALIGNMENT
HIGLEY UNIFIED SCHOOL DISTRICT INSTRUCTIONAL ALIGNMENT Accelerated 7 th Grade Math Second Quarter Unit 3: Ratios and Proportional Relationships Topic C: Ratios and Rates Involving Fractions In Topic C,
More informationMath 8 Levels II & III. For each problem, write a let statement, write and solve an equation, and answer the question.
Math 8 Levels II & III Word Problems Name Date Section For each problem, write a let statement, write and solve an equation, and answer the question. Integers: 1. When twice a number is increased by 3,
More information4 rows of 6 4 x 6 = rows of 4 6 x 4 = 24
Arrays 8/8/16 Array a rectangular arrangement of equal rows 4 4 rows of 6 4 x 6 = 24 6 6 6 rows of 4 6 x 4 = 24 4 Dimension the number of rows and columns in an array Multiplication the operation of repeated
More informationTest Booklet. Subject: MA, Grade: 07 7th Grade Math May Student name:
Test Booklet Subject: MA, Grade: 07 7th Grade Math May 2005 Student name: Author: Ohio District: Ohio Released Tests Printed: Monday July 09, 2012 1 There are 2 9 bacteria in a sample. How many bacteria
More informationMinute Simplify: 12( ) = 3. Circle all of the following equal to : % Cross out the three-dimensional shape.
Minute 1 1. Simplify: 1( + 7 + 1) =. 7 = 10 10. Circle all of the following equal to : 0. 0% 5 100. 10 = 5 5. Cross out the three-dimensional shape. 6. Each side of the regular pentagon is 5 centimeters.
More informationUNIT 4 Math 621. Forms of Lines and Modeling Using Linear Equations
UNIT 4 Math 621 Forms of Lines and Modeling Using Linear Equations Description: This unit focuses on different forms of linear equations. Slope- intercept, point-slope and standard forms are introduced.
More informationGRADE 4. M : Solve division problems without remainders. M : Recall basic addition, subtraction, and multiplication facts.
GRADE 4 Students will: Operations and Algebraic Thinking Use the four operations with whole numbers to solve problems. 1. Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 7 as
More informationAlex Benn. Math 7 - Outline First Semester ( ) (Numbers in parentheses are the relevant California Math Textbook Sections) Quarter 1 44 days
Math 7 - Outline First Semester (2016-2017) Alex Benn (Numbers in parentheses are the relevant California Math Textbook Sections) Quarter 1 44 days 0.1 Classroom Rules Multiplication Table Unit 1 Measuring
More informationEssential Question How can you describe the graph of the equation y = mx + b?
.5 Graphing Linear Equations in Slope-Intercept Form COMMON CORE Learning Standards HSA-CED.A. HSF-IF.B. HSF-IF.C.7a HSF-LE.B.5 Essential Question How can ou describe the graph of the equation = m + b?
More informationMath Review Packet. Grades. for th. Multiplication, Division, Decimals, Fractions, Metric & Customary Measurements, & Volume Math in the Middle
Math Review Packet for th 5 th 6 Grades Multiplication, Division, Decimals, Fractions, Metric & Customary Measurements, & Volume 206 Math in the Middle Multiplying Whole Numbers. Write the problem vertically
More informationPyle Middle School Summer Math Packet Incoming C2.0 Math 7
Pyle Middle School Summer Math Packet Incoming C2.0 Math 7 Dear Student and Parent, The purpose of this packet is to provide a review of objectives that were taught the previous school year and provide
More information