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6th Grade Prealgebra Distance Learning Activity, Day 1: MathOverview: Add, Subtract, Multiply, and Divide Signed NumbersEstimated Time: Approximately 45 minutesExplanation: You will simplify expressions with positive and negative numbers without a calculator.Things to know:1. Absolute Value: The distance a number is from zeroExample: 4 , this is read the absolute value of 4. 4 4 since 4 is 4 units away from zero on the number line.Example: 4 is also 4 since 4 is 4 units away from zero on the number line.2. Signed numbersAdditiono To add integers with the same sign, add their absolute values The sum is positive if both integers are positiveExample: 5 3 8 The sum is negative if both integers are negativeExample: - 5 - 3 -8o To add integers with different signs, subtract their absolute values The sum is positive if the positive integer's absolute value is greater.Example: 5 - 3 2 The sum is negative if the negative integer's absolute value is greater.Example: -5 3 -2Subtractiono To subtract an integer, add its additive inverse.Example 1: 2 - 7 is rewritten as 2 (-7) which means 2 - 7 2 (-7) -5Example 2: - 7 - 8 is rewritten as -7 (-8) which means - 7 - 8 -7 (-8) -15Multiplication and Divisiono The product or quotient of two numbers with the same sign is positive.Example 1: 3 5 15Example 2: 3 5 15Example 3: 15 3 5Example 4: 15 3 5o The product or quotient of two numbers with different signs is negative.Example 1: 3 5 15Example 2: 3 5 15Example 3: 15 3 5Example 4: 15 3 5Tasks:1. Review the Things to Know above and make sure you understand the examples2. Watch the following video. This video shows an example with more than 2 numbers. It also showsthe addition and subtraction visually. If you are more comfortable with the rules, then you can justuse the rules to complete your -signs3. Complete the on-2If you struggle on these problems feel free to watch additional Khan Academy videos, videos in theonline textbook, or review the concept in your book on pages 55 β 67. You can also email yourquestions to me and I will provide support and feedback during my online hours.4. Complete the odd numbered problems on the addition and subtraction, multiplication, and divisionof signed numbers practice sheets I provided for you through . If you do not have aprinter, complete your work on notebook paper.How is this assignment turned in to the teacher: (Teacher completes this section based on the tool theyare using with their class.)
6th Grade Prealgebra Distance Learning Activity, Day 2: MathOverview: Simplify Expressions Using the Order of OperationsEstimated Time: Approximately 45 minutesExplanation: You will simplify expressions following the order of operations.Things to know:Please complete all activities in order. This is a review of a skill you already know and have practiced.1. To simplify expressions, you must follow the order of operations2. Key Concept: Order of OperationsFirst: Parenthesis (or Grouping Symbols)Second: ExponentsThird: Multiply and/or divide in order from left to rightFourth: Add and/or subtract in order from left to right3. Common misconceptions: Sometimes students think you multiply before you divide. When youhave multiplication and division in the same problem, you simply work from left to right. Similarly,after simplifying any multiplication and/or division, addition and subtraction is completed from leftto right.Tasks:1. Review the Things to Know above2. Watch the video : /introduction-to-order-of-operations?modal 1Read the review and practice the problems in the review : rations/a/order-of-operations-review3. Complete the practice sheet on Order of Operations I provided for you through . If youdo not have a printer, complete your work on notebook paper.How is this assignment turned in to the teacher: (Teacher completes this section based on the tool theyare using with their class.)
6th Grade Prealgebra Distance Learning Activity, Day 3: MathOverview: Multiplication and Division of Rational NumbersEstimated Time: Approximately 45 minutesExplanation: You will multiply and divide fractions without a calculator.Things to know:1. Multiplication of Fractions2. Division of Fractions3. Example 1Example 21 111 4 2 4 2 83 113 113 513 513 113 2 135 55 55 15 11 11Tasks:1. Review the Things to Know above and make sure you understand the examples2. Review Examples 1 - 3 (all examples) in your textbook, page 107 - 109. Do the same thing forExamples 2 - 3 (all examples) problems in your textbook, page 115. Write down the example andthen turn your book upside down. Complete the example problem on your own and check to makesure you have it correct. If you are able to complete the problems on your own, you are ready tocomplete the practice on your own. If not, submit your work to me on these examples so I canprovide you with feedback and help. Then try them again to be sure you understand before you dothe last task.3. Complete the practice on Adding and Subtracting Fractions I provided for you through .If you do not have a printer, complete your work on notebook paper.How is this assignment turned in to the teacher: (Teacher completes this section based on the tool theyare using with their class.)
6th Grade Prealgebra Distance Learning Activity, Day 4: MathOverview: Addition and Subtraction of Rational NumbersEstimated Time: Approximately 30 minutesExplanation: You will add and subtract fractions without a calculator.Things to know:1. Addition of Fractions with Unlike Denominators2. Subtraction of Fractions with Unlike Denominators3.Example 11 3 1 2 3 2 3 5 4 8 4 2 8 8 8 8Example 23 53 3 5 49 20295 ππ 18 68 3 6 424 242424Tasks:1. Review the Things to Know above and make sure you understand the examples2. Review Example 2 and Example 3 problems in your textbook, page 127. Write down the exampleand then turn your book upside down. Complete the example problem on your own and check tomake sure you have it correct. If you are able to complete the problems on your own, you are readyto complete the practice on your own. If not, submit your work to me on these examples so I canprovide you with feedback and help. Then try them again to be sure you understand before you dothe last task.3. Complete the practice on Adding and Subtracting Fractions I provided for you through .If you do not have a printer, complete your work on notebook paper.How is this assignment turned in to the teacher: (Teacher completes this section based on the tool theyare using with their class.)
6th Grade Prealgebra Distance Learning Activity, Day 5: MathOverview: You will complete application problems from the last 4 review lessons.Estimated Time: Approximately 30 minutesExplanation: This is an opportunity to apply what you have reviewed over the last 4 lessons tocomplete application problems. You will write your work on paper and send it to me for review.Things to know:1. Do your best on each problem.2. Complete the problems on notebook paper.3. You do not need to write the entire word problem down, but you do need to show all of your work.Tasks:1. On page 88, complete problems 22 and 232. On page 89, complete problems 52 and 543. On page 90, complete problems 65 and 664. On page 133, complete problems 37, 38, 55 and 565. On page 134, complete problems 63, 65, 66 and 75 and 776. Turn this assignment in to me and I will provide you with feedback and ask you to correct problemsthat are not correct.How is this assignment turned in to the teacher: (Teacher completes this section based on the tool theyare using with their class.)
6th Grade Prealgebra Distance Learning Activity, Day 6: MathOverview: This assignment provides a review of simplifying Algebraic ExpressionsEstimated Time: Approximately 30 minutesExplanation: You will simplify algebraic expressions without using a calculator.Things to know:1. DefinitionsTerm: Parts of an expression that are separated by addition or subtraction signs.Like Terms: Terms that contain the same variable with the same exponent.Example: 3x and 5x are like terms; 5y and -2y are like terms; 5 and -1 are like terms2x and 3 are not like terms; 5x and -y are not like termsCoefficient: The numerical part of a term that is multiplied to a variable.Example: For the term 2x, 2 is a coefficient; For the term 5y, 5 is the coefficientConstant: A term without a variable.Example: In the expression 3x 2, 2 is the constant2. Distributive PropertyTasks:1.Review the Things to Know above and make sure you understand the vocabulary.2.Review pages 299 and 300, examples 1 β 3.3. Complete the odd numbered problems on the Simplifying Algebraic Expressions Sheet of Iprovided for you through . If you do not have a printer, complete your work onnotebook paper.4. Turn the assignment into me and I will provide you with feedback. If you have any incorrect, I willask you to correct them to be sure you understand simplifying algebraic expressions.How is this assignment turned in to the teacher: (Teacher completes this section based on the tool theyare using with their class.)
6th Grade Prealgebra Distance Learning Activity, Day 7: MathOverview: This assignment provides a review of ratioEstimated Time: Approximately 30 minutesExplanation: You will write ratios as fractions in simplest form.Things to know:Please complete all activities in order. This is a review of a skill you already know and have practiced.You will receive a practice sheet through email. If you do not have a printer, you should write theproblems on notebook paper.1.2.3.4.Ratio: A comparison of two quantities by divisionYou can represent a ratio using the word βtoβ, a colon β : β, or a fraction bar3Example: 3 to 5, 3 : 5, 5Example: Twenty out of thirty Americans own a cell phone. Express as a fraction in simplest form.Explain its meaning.202 3 ; so, 2 out of 3 Americans own a cell phone30Tasks:1. Review the Things to Know above2. Watch the video : gebra-ratios-intro/v/ratios-intro?modal 1Watch the modal 13. Complete the practice sheet on Ratio I provided for you through . If you do not have aprinter, complete your work on notebook paper. I will ask you to correct any problem you do nothave correct.How is this assignment turned in to the teacher: (Teacher completes this section based on the tool theyare using with their class.)
6th Grade Prealgebra Distance Learning Activity, Day 8: MathOverview: This assignment provides a review of ratesEstimated Time: Approximately 30 minutesExplanation: You will express rates as unit rates.Things to know:1. Rate: A ratio of two quantities having different kinds of units.Example: 114 πππ₯ππ 2. Unit Rate: A rate simplified so that it has a denominator of 1.Example: 123 π ππππ€βππβππ 4π ππππ€βππβ 4 per sandwhichTasks:1. Review the Things to Know above and make sure you understand the examples.2. Watch the following videos, take any notes you find helpful in understanding the concept of ing-unitrates?modal nitprices?modal 13. Complete the practice on Rates I provided for you through . If you do not have a printer,complete your work on notebook paper.How is this assignment turned in to the teacher: (Teacher completes this section based on the tool theyare using with their class.)
6th Grade Prealgebra Distance Learning Activity, Day 9: MathOverview: This lesson provides a review of proportionEstimated Time: Approximately 30 minutesExplanation: You will solve problems using proportions.Things to know:1. Proportion: An equation stating two ratios or rates are equal.2. Property of Proportion3. Example 113 , then 1 Β· 12 3 Β· 44 12Example 23 12 , then 3 Β· 32 12 Β· 88 324.Cross products provide one way to solve for an unknown value in the proportionc 20 3 12c Β· 12 20 Β· 312c 6012c 60 1212c 5Tasks:1. Review the Things to Know above and make sure you understand the examples2. Watch the following video, take any notes you find helpful in understanding the concept of solvingproportions. The video highlights a few ways to solve a proportion. You only need to understandone way that works well for eproportions/v/find-an-unknown-in-a-proportion
4. Watch the following video, take any notes you find helpful in understanding how to set up aproportion from a word problem. This video only shows how to set up a proportion that could beused to solve a variety of -solveproportions/v/writing-proportions5. Complete the odd number problems from the proportion practice I provided to you for this lesson. Ifyou do not have a printer, complete your work on notebook paper. I will provide feedback on thisassignment and ask you to correct any problems you did not get correct.6. EXTRA β Only complete if you want more practice.Complete the even number problems from the practice sheet.How is this assignment turned in to the teacher: (Teacher completes this section based on the tool theyare using with their class.)
6th Grade Prealgebra Distance Learning Activity, Day 10: MathOverview: This lesson provides an opportunity to review applications incorporating algebraicexpressions, ratio, rates, and proportion.Estimated Time: Approximately 30 minutesExplanation: This is an opportunity to apply what you have reviewed over the last 4 lessons tocomplete application problems. Print the practice sheet I provided, or you can write your work onpaper and send it to me for review.Things to know:1. Do your best on each problem.2. Complete the problems on notebook paper.3. You do not need to write the entire word problem down, but you do need to show all of your work.Tasks:1. Review the things to know.2. Complete the practice sheet.3. Submit to me to review.How is this assignment turned in to the teacher: (Teacher completes this section based on the tool theyare using with their class.)
6th Grade Prealgebra Distance Learning Activity, Day 11: MathOverview: You will complete a review of the work you have done during the first 3 weeks of theDistance Learning Plan.Estimated Time: Approximately 30 minutesExplanation: This is an opportunity think about, and then to show how well you know the content ofthe first 10 days of work you have completed.Things to know:1. Do your best on each problem.2. You do not need to print the practice. You can write it on notebook paper. Write the problem andshow your work.3. You do not need to write any word problems down, but you do need to show all of your work.Tasks:1. Start by reflecting on what you completed over the last 10 days of work you completed. What was the hardest for you to do? Are you better at it now than you were before you started? What have you learned about yourself through the work you have done that will help you aswe enter the next part of distance learning?2. Share your answers to #1 above with me through email.3. Complete the practice sheet I sent to you for Day 11.How is this assignment turned in to the teacher: (Teacher completes this section based on the tool theyare using with their class.)
6th Grade Prealgebra Distance Learning Activity, Day 5: Math Overview: You will complete application problems from the last 4 review lessons. Estimated Time: Approximately 30 minutes Explanation: This is an opportunity to apply what you have reviewed over the last 4 lessons to complete application problems. You will write your work on paper and send it to me for review.
