Just In Time Quick Check Standard Of Learning (SOL) 8.4 .
Just In Time Quick CheckStandard of Learning (SOL) 8.4Strand: Computation and EstimationStandard of Learning (SOL) 8.4The student will solve practical problems involving consumer applications.Grade Level Skills: Solve practical problems involving consumer applications by using proportional reasoning and computationprocedures for rational numbers.Reconcile an account balance given a statement with five or fewer transactions.Compute a discount or markup and the resulting sale price for one discount or markup.Compute the sales tax or tip and resulting total.Compute the simple interest and new balance earned in an investment or on a loan given the principalamount, interest rate, and time period in years.Compute the percent increase or decrease found in a practical situation.Just in Time Quick CheckJust in Time Quick Check Teacher NotesSupporting Resources: VDOE Mathematics Instructional Plans (MIPS)o 8.4 - Consumer Applications – Taxes, Tips, and Simple Interest (Word) / PDF Versiono 8.4 - The Scoop-on-Ice-Cream Planning (Word) / PDF Versiono 8.4 - Percent of Increase or Decrease (Word) / PDF Versiono 8.4 - Do You Like to Spend Money? (Word) / PDF VersionVDOE Co-Teaching Mathematics Instruction Plans (MIPS)o 8.4 - Sales Tax and Discounts (Word) / PDF VersionVDOE Algebra Readiness Formative Assessmentso SOL 8.4 (Word) / PDFVDOE Algebra Readiness Remediation Planso Practical Problems - Consumer Applications (Word) / PDFo Practical Problems - Discount (Word) / PDFo Practical Problems - Tax and Discount (Word) / PDFo Practical Problems and Simple Interest (Word) / PDFo Problem Solving – Strategies for Finding the Hidden Question (Word) / PDFo Scale Drawings - Using Proportional Reasoning (Word) / PDFo Solving Practical Problems Using Proportional Reasoning I (Word) / PDFo Solving Practical Problems Using Proportional Reasoning II (Word) / PDFo Solving Practical Problems Using Proportional Reasoning III (Word) / PDFVDOE Word Wall Cards: Grade 8 (Word) (PDF)o Proportiono Percent of Increaseo Percent of Decreaseo Reconcile an AccountVirginia Department of EducationAugust 2020Copyright 2020 by the Commonwealth of Virginia, Department of Education, P.O. Box 2120, Richmond, Virginia 23218-2120. All rights reserved. Except as permitted by law, this material may not be reproduced or used inany form or by any means, electronic or mechanical, including photocopying or recording, or by any information storage or retrieval system, without written permission from the copyright owner. Commonwealth ofVirginia public school educators may reproduce any portion of these items for non-commercial educational purposes without requesting permission. All others should direct their written requests to the VirginiaDepartment of Education at the above address or by e-mail to Student Assessment@doe.virginia.gov.
Strand: Computation and Estimation VDOE Rich Mathematical Tasks: Principal’s Dilemmao 8.4 Principal’s Dilemma Task Template (Word) / PDF VersionOther VDOE Resourceso eMediaVA: Computation and Estimation – Grade 8Supporting and Prerequisite SOL:Virginia Department of Education7.2, 7.3, 6.2a, 6.5b, 6.5c, 6.6a, 6.6b, 6.13August 2020
SOL 8.4 - Just in Time Quick Check1. Jeremiah works at a skateboard shop and is paid at the end of each week. He earns 245 a week plus 15% commission on each skateboard he sells.Each skateboard sells for 54.If Jeremiah sells 27 skateboards this week, how much will he earn, in total, at the end of the week?2. Each week Kristiana checks her bank statement to make sure it is correct. Monday, July 13, 2020, Kristiana received a refund check for 42.73 that was deposited into her account.Wednesday, July 15, 2020, her paycheck of 973.80 was deposited into her account.Thursday, July 16, 2020, she ordered a computer case from Amazon for 32.25. She also used her bankcardto purchase 34.57 in gas.Friday, July 17, 2020, she spent 102.34 at Trader Jerry’s grocery store.Below is a picture of her bank ransaction DescriptionStarting BalanceRefund CheckPaycheckAmazonTrader Jerry’sWithdrawalDeposit 42.73 973.80 32.25 102.34Balance 542.98 500.25 1,474.05 1,441.80 1,329.46A. Identify the error(s) and explain why they are errors.B. What should her account balance be at the end of these transactions?3. A shoe distributor sells a particular pair of shoes to a store for 42.80. The store then sells this pair of shoes to acustomer at a 35% markup. How much money does the store make from selling one pair of shoes to a customer?4. Treyvon buys one bag of chips for 2.75, three sticky buns for 1.35 each, and two sodas for 3.60 each. Thesales tax rate for items purchased is 5.5%. How much does Treyvon pay for all of the items he purchased,including tax?Virginia Department of EducationAugust 2020
5. Nia puts 750 into a savings account. The simple interest rate for the savings account is 3%. If Nia does notwithdraw or deposit any additional money, how much money will be in Nia’s account at the end of 2.5 years?6. In the month of May 2019, Norfolk International Airport had approximately 360,000 passengers. In the monthof May 2020, they had approximately 46,000 passengers. What is the percent decrease in the number ofpassengers from May 2019 to May 2020?Virginia Department of EducationAugust 2020
SOL 8.4 - Just in Time Quick Check Teacher NotesCommon Errors/Misconceptions and their Possible Indications1. Jeremiah works at a skateboard shop and is paid at the end of each week. He earns 245 a week plus 15% commission on each skateboard he sells.Each skateboard sells for 54.If Jeremiah sells 27 skateboards this week, how much will he earn, in total, at the end of the week?A common error that students might make is to calculate 15% of what he initially earns rather than 15% of what histotal sales are for the week. This may indicate that the student is confused about applying the commission to thetotal sales to obtain how much Jeremiah earned for the entire week. Students may benefit from additional practicewith multistep word problems. This may also indicate that students do not have an understanding of the vocabularyword “commission” to be able to apply the percent correctly. Students may benefit from creating a Frayer Model forthe word “commission” ( i.e., graphic organizer with vocabulary word in center, definition in student’s words in upperleft quadrant of paper, characteristics of the term that help student distinguish the term from other terms in upperright quadrant, non-examples in lower right quadrant, and examples or illustrations of the term in lower leftquadrant).2. Each week Kristiana checks her bank statement to make sure it is correct. Monday, July 13, 2020, Kristiana received a refund check for 42.73 that was deposited into her account.Wednesday, July 15, 2020, her paycheck of 973.80 was deposited into her account.Thursday, July 16, 2020, she ordered a computer case from Amazon for 32.25. She also used her bankcardto purchase 34.57 in gas.Friday, July 17, 2020, she spent 102.34 at Trader Jerry’s grocery store.Below is a picture of her bank ransaction DescriptionStarting BalanceRefund CheckPaycheckAmazonTrader Jerry’sWithdrawalDeposit 42.73 973.80 32.25 102.34Balance 542.98 500.25 1,474.05 1,441.80 1,329.46A. Identify the error(s) and explain why they are errors.A student may say the only error is Kristiana forgot to include the gas payment and missed that the refund check isentered as a withdrawal. This error may indicate that students have not yet developed a deep understanding ofscenarios that represent deposits and withdrawals and their relationship to an account balance. Students maybenefit from additional practice with the vocabulary associated with bank accounts such as withdrawal and deposit.Providing students with a visual of these words may benefit students as well. See Math 8 Word Wall Cards(Reconcile an Account).B. What should her account balance be at the end of these transactions?A student may determine the ending balance is 1,424.92 after identifying the refund check should be a deposit.Another student may state that the balance is correct indicating the student may not understand which transactionsare deposits and which are withdrawals. This error may indicate that the student did not include all of thetransactions in determining the ending balance. Students may benefit from checking off each transaction as they areposted to the account.Virginia Department of EducationAugust 2020
Virginia Department of EducationAugust 2020
3. A shoe distributor sells a particular pair of shoes to stores for 42.80. The store sells these pairs of shoes tocustomers at a 35% markup. How much money does the store make from selling one pair of shoes to a customer?A common error a student may make is providing an answer that represents the markup price a customer pays forone pair of shoes. This may indicate that the student does not understand the relationship between part (amount ofmarkup) and whole (price a customer pays). A student making this error may benefit from additional practice withword problems and drawing a picture to represent the problem. A review of consumer application vocabulary termswould also be beneficial, specifically discount and markup.4. Treyvon buys one bag of chips for 2.75, three sticky buns for 1.35 each, and two sodas for 3.60 each. Sales taxrate for items purchased is 5.5%. How much does Treyvon pay for all of the items he purchased, including tax?A common error a student may make is finding and including the sales tax for purchasing one bag of chips, one stickybun, and one soda. This indicates that the student focused on the price of each item rather than the quantity of eachitem purchased. Students may benefit from additional practice with multistep word problems. A student may alsobenefit from highlighting the key words in the question to identify the quantity and price of items purchased.Other potential errors a student may make are only finding the sales tax amount or subtracting the amount of taxfrom the cost of the items. This may indicate that a student does not understand the vocabulary associated with tip,tax, and discount. A student may benefit from more practice using the vocabulary in consumer math problems.(VDOE Mathematics Instructional Plans-8.4 - Consumer Applications – Taxes, Tips, and Simple Interest)5. Nia puts 750 into a savings account. The simple interest rate for the savings account is 3%. If Nia does notwithdraw or deposit any money, how much money will be in Nia’s account at the end of 2.5 years?A common error a student may make is only finding the amount of interest and neglecting to add that to the initialamount in the savings account. This may indicate that a student has not yet developed an understanding ofmultistep word problems. See question 1 for more information. A student may also benefit from highlighting the keywords in the question to identify if the question is asking for the interest or the total amount.Other common misconceptions a student may make are to compute the interest for only one year resulting in anamount of 772.50 or forgetting to change 3% to a decimal value resulting in a balance of 6,375. Both of theseerrors indicate a student may not understand the formula and parts of the formula used to compute simple interest.A student may benefit from more practice identifying the interest and principal in real world contexts. See VDOEAlgebra Readiness Remediation Plans-Practical Problems and Simple Interest for additional practice.6. In the month of May 2019, Norfolk International Airport had approximately 360,000 passengers. In the month ofMay 2020, they had approximately 46,000 passengers. What is the approximate percent decrease in the numberof passengers?A student may state the percent change is 682% by incorrectly computing the percent of change,(360000 4600046000). Another common misconception a student may make when finding percent of decrease is tosubtract the two values and attach a percent to that difference, resulting in a 314,000% decrease. Both of theseerrors indicate the student may not understand the concept of percent of decrease. Students may benefit fromcontinuing to explore percent of change in real world problems. Providing students with a visual of these words maybenefit students as well, see Math 8 Word Wall Cards (Percent Increase and Percent Decrease). Refer to VDOEMathematics Instructional Plans - 8.4 - Percent of Increase or Decrease for additional practice.360000 46000) but state the percentAnother error is a student may correctly calculate the initial percent of decrease (360000of change as 8.72% or 8%. This error indicates the student may not understand amount computed from thiscalculation must be converted to a percent. The student may benefit from additional practice with percent of changeproblems that result in an answer of over 100%.Virginia Department of EducationAugust 2020
tax, and discount. A student may benefit from more practice using the vocabulary in consumer math problems. (VDOE Mathematics Instructional Plans-8.4 - Consumer Applications – Taxes, Tips, and Simple Interest) 5. Nia puts 750 into a savings account. The simple interest
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