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6th Grade Prealgebra Distance Learning Activity, Days 1-4: Math Overview: Add, Subtract, Multiply, and Divide Signed Numbers Estimated Time: Approximately 45 minutes each dayExplanation: You will simplify expressions with positive and negative numbers without a calculator. Things to know: 1. Absolute Value: The distance a number is from zero Example: |?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 numbers Addition o To add integers with the same sign, add their absolute values ? The sum is positive if both integers are positive ? The sum is negative if both integers are negative Example: 5 + 3 = 8 Example: - 5 + - 3 = -8 o To add integers with different signs, subtract their absolute values ? The sum is positive if the positive integer's absolute value is greater. ? The sum is negative if the negative integer's absolute value is greater. Example: 5 + - 3 = 2 Example: -5 + 3 = -2 Subtraction o To subtract an integer, add its additive inverse. Example 1: 2 - 7 is rewritten as 2 + (-7) which means 2 - 7 = 2 + (-7) = -5 Example 2: - 7 - 8 is rewritten as -7 + (-8) which means - 7 - 8 = -7 + (-8) = -15 Multiplication and Division o The product or quotient of two numbers with the same sign is positive. Example 1: 3 ?5=15 Example 2: ?3 ??5=15 Example 3: 15 ÷3=5 Example 4: ?15 ÷?3=5 o The product or quotient of two numbers with different signs is negative. Example 1: 3 ??5=?15 Example 2: ?3 ?5=?15 Example 3: 15 ÷?3=?5 Example 4: ?15 ÷3=?5 Tasks: 1. Review the Things to Know above and make sure you understand the examples 2. Watch the following videos for help on this topic. . Complete the practice problems in your packet.Day 1 – Adding and SubtractingDay 2 – Simplifying ExpressionsDay 3 – Dividing IntegersDay 4 – Multiplying IntegersHow is this assignment turned in to the teacher: Return your completed packet to school.6th Grade Prealgebra Distance Learning Activity, Day 5: Math Overview: Simplify Expressions Using the Order of Operations Estimated Time: Approximately 45 minutes Explanation: 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 operations 2. Key Concept: Order of Operations First: Parenthesis (or Grouping Symbols) Second: Exponents Third: Multiply and/or divide in order from left to right Fourth: Add and/or subtract in order from left to right 3. Common misconceptions: Sometimes students think you multiply before you divide. When you have 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 left to right. Tasks: 1. Review the Things to Know above 2. Watch these videos for more help: 3. Read the review and practice the problems in the review if you need more help/practice (you can skip this step if you are comfortable) : 4. Complete the Day 5 problems in your packet.How is this assignment turned in to the teacher: Return your completed packet to school.6th Grade Prealgebra Distance Learning Activity, Day 6-7: Math Overview: Multiplication and Division of Rational Numbers Estimated Time: Approximately 45 minutes Explanation: You will multiply and divide fractions without a calculator. Things to know: 1. Multiplication of Fractions 2. Division of Fractions 3. Tasks: 1. Review the Things to Know above and make sure you understand the examples 2. If you need more examples and support use the videos below to help you.Multiplying Fractions - Fractions - 3. Complete the practice problems in your packetDay 6 – Multiplying FractionsDay 7 – Dividing Fractions How is this assignment turned in to the teacher: Return your completed packet to school.6th Grade Prealgebra Distance Learning Activity, Day 8-9: Math Overview: Addition and Subtraction of Rational Numbers Estimated Time: Approximately 45 minutes Explanation: You will add and subtract fractions without a calculator. Things to know: 1. Addition of Fractions with Unlike Denominators 2. Subtraction of Fractions with Unlike Denominators 3. Tasks: 1. Review the Things to Know above and make sure you understand the examples 2. If you need more examples and support use the videos below to help you.Subtracting Fractions - Fractions - . Complete the practice problems in your packetDay 8 – Subtracting FractionsDay 9 – Adding Fractions How is this assignment turned in to the teacher: Return your completed packet to school.6th Grade Prealgebra Distance Learning Activity, Day 10: Math Overview: You will complete application problems from the last 4 review lessons. Estimated Time: Approximately 45 minutes Explanation: This is an opportunity to apply what you have reviewed over the last 4 lessons to complete application problems. Things to know: 1. Do your best on each problem. 2. Complete the problems on notebook paper or in the packet. 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 23 2. On page 89, complete problems 52 - 54 3. On page 90, complete problems 65 - 66 4. On page 133, complete problems 37, 38, 55 and 56 5. On page 134, complete problems 63 - 66 and 75 - 77 How is this assignment turned in to the teacher: Return your completed packet to school.6th Grade Prealgebra Distance Learning Activity, Day 11: Math Overview: You will complete a review of the work you have done during the first 3 weeks of the Distance Learning Plan and some of the material covered in class.Estimated Time: Approximately 30 minutes Explanation: This is an opportunity think about, and then to show how well you know the content of the 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 and show 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 as we enter the next part of distance learning? 2. Complete the practice sheet I sent to you for Day 11. How is this assignment turned in to the teacher: Hand in to me when we return to class. ................
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