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Parent Academy

Equip parents to better assist in their child's math education, leading to better understanding of concepts, improved test scores, better class schedules, and a more confident young adult. Covers CFA policy, TN READY breakdown, prerequisite skills, vocabulary, and lessons 14-17.

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Parent Academy

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  1. January 2019 7th Grade Parent Academy Parent Academy Unit 3- Expressions and Equations

  2. Agenda & Objective • Objective – To better equip parents to assist in their child’s math education; Results will be better understanding of concepts, better test scores, better class schedules for high school courses, and a more confident self sufficient young adult. • NEW Schoolwide CFA Policy • TN READY Standard Breakdown by unit • Prerequisites for Unit 3 • Vocabulary • Unit 3 – Lessons 14 – 17 • Questions

  3. CFA Policy – Effective January 2019 • All students may retake a CFA one time for a replacement grade. • Students who plan on retaking a CFA will receive a remediation assignment to review, complete and master before CFA will be retaken. • Student will receive higher grade received on the two CFAs. • Student will ask his/her teacher about scheduling a time to retake. His/Her teacher will not pull them automatically. • This is the student’s responsibility to initiate.

  4. TN READY TEST Breakdown by standard These sections will overlap some. For example, the length of a rectangle is 8cm more than the width. If the perimeter is 26, what is the area of the rectangle? Geometry – perimeter & area Expressions & Equations – write and solve equation using variable

  5. Prerequisites for Unit 3 • Perform all operations with fractions & decimals • Mastery of Lesson 12 (discounts) • Solve multi-step equations with rational numbers (rational numbers include negatives, fractions, and decimals) • Use distributive property with rational numbers • Understand clue words – sum, each, additional, how much more, every, no more than, no less than, at least…. • Utilize appropriate inequality symbols >, <, >, <

  6. Unit 3 – Expressions & Equations – Vocabulary • Like Terms – Terms that have the same variable raised to the same exponent Examples – 3x 9x 0.6 y ½ y 4x -12 x 19y -2.7y • Equivalent Expression – Expressions that have the same value for all values of your variable. (simplify to the same expression) Examples x + x + x 3x ½y + 2y + 3y 5.5y • Perimeter – distance around an object • Equilateral, Isosceles, & Scalene Triangles – all sides equal , 2 sides equal, no sides equal • Expression – a group of terms (no equal sign) 2x + 3 6+ x + 8 • Distributive Property – 3(x +8) = 3x + 24 Means x + 8 + x + 8 + x + 8

  7. Lesson 14 – Finding Equivalent Expressions Students use properties of operations to solve equivalent expression problems. Simplify expressions to determine equivalency • To simplify this expression we will use the distributive property. Multiply ¼ by each term inside parentheses. ¼ * 8y = 2y ¼ * 12 = 3 2y – 3 which is not equivalent to 2y - 12 - 2y 3

  8. Lesson 14 – Finding Equivalent Expressions • Things we discuss: • DRAW IT. • Create a concrete example.  • What do we use when we do not know something?   • What does it mean 3 times its width? • How do I represent that in a term? • Many students do not take the time to draw a picture.   .

  9. Lesson 14 – Finding Equivalent Expressions Possible Expressions: 3w + w + 3w + w 3w + 3w + w + w 2(3w + w) 8w 2(4w) w+w+w+w+w+w+w+w

  10. Lesson 15 – Writing Equivalent Expressions Students will extend their knowledge about HOW to solve a problem and create expressions using variables. 100% is $40.90 While we had this question in lesson 12, we are focusing on the expression not just the answer. 30% 70% Sale price= original price – discount Sale price = original price – 30% of the original price = 40.90 - 0.30(40.90) Sale price = amount paying Sale price = 70% of the original price = 0.70(40.90)

  11. Lesson 15 – Writing Equivalent Expressions  Two groups of students will struggle with this question: Students who are advanced and can answer questions but can’t tell you what they did. And the second student who has a very difficult time with abstract concepts.

  12. Lesson 15 – Writing Equivalent Expressions Strategy #1 - Ignore the answers and write your own expression so the given answers do not confuse you. Then compare your answer with the options. Strategy #2– create a concrete amount and see which expressions will correctly answer the question.

  13. Lesson 15 – Writing Equivalent Expressions Level 5 question X adds tax before discount X adds 15% instead of discounting it and figures tax on the original amount Takes 85% of original and then adds 108% to that amount which adds the tax Takes 85% of original and then figures 8% of the 85% then adds it to the sale price X finds the tax of the original price

  14. Lesson 16 – Solving problems with Equations Students will write and solve equations using knowledge previously learned.  . Students that struggle  may be unwilling to DRAWthe picture.  Understanding will be much greater if students will draw a picture.  

  15. Lesson 16 – Solving problems with Equations w meters 9 meters 9 meters 9 meters w meters No fencing is needed on this side. It’s against the house. w + w + 9 = 21.5 2w + 9 = 21.5

  16. Lesson 16 – solving problems with Equations

  17. Lesson 16 – solving problems with Equations ( ) x 3/4 -12 = + 8 Use Clue words to write your equation. Take it one word and one step at a time.

  18. Lesson 17 – Solve problems with Inequalities Words/phrases to help indicate which sign. • At most < • No more than < • At least > • No fewer than > • More than > • Less than < • Solve these inequalities as you would equations with one exception: If you have a negative coefficient that you must divide by, you must switch the inequality. For example, • -3x < 18 Becomes x > -6 -3 -3 • Graphing - • <, > OPEN Circle • <, > CLOSED Circle

  19. Lesson 17 – Solving problems with inequalities Students will use similar strategies learned in writing equations to write and solve inequalities.  .00 -18.60 -18.60 0.8 x<6.4 0.8 0.8 x < 8 No more than 8 balloons

  20. Lesson 17 – Solving problems with inequalities Some students will want to write this equation: (25.00-18.6)/ 0.8 = x While this is accurate, we want them to incorporate “x” into the equation in order to see the relationship “x” is playing in the story. Talking points for this: Why is the graph a set of dots instead of a line with open or closed circles? - Because in this story, you cannot purchase ½ of a balloon or a -3 balloons. So the only solutions are 1,2,3,4,5,6,7,8

  21. Questions & DiscussionEmail addresses for 7th grade math faculty7A – vaughanc@rcschools.net7B – wismar@rcschools.net7C – allenm@rcschools.net

  22. TN READY TEST Breakdown by standard

  23. TN READY TEST Breakdown by standard

  24. TN READY TEST Breakdown by standard

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