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Term: A number, a variable, or a product of numbers and variables.

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Presentation on theme: "Term: A number, a variable, or a product of numbers and variables."— Presentation transcript:

1 Term: A number, a variable, or a product of numbers and variables.
Agenda Message: Weekly Basics #5 Due Friday 9/11/ Unit 1 Math Folder Project Due Thursday 9/10/15 Complete any unfinished classwork. 9/9/15 EQ: How are mathematical expressions, equations, and inequalities used to represent and solve real-world and mathematical problems?M7CC.EE1 M7CC.EE2 Activating Strategy: Copy Vocab. terms and definitions Unit 2 List 1 Vocabulary Quiz next Thurs. 9/17/15. Term:  A number, a variable, or a product of numbers and variables. Algebraic Expression: A mathematical phrase involving at least one variable and sometimes numbers and operation symbols.. Coefficient: A number multiplied by a variable in an algebraic expression. Variable: A letter or symbol used to represent a number. Evaluate: To find the value of an expression by replacing each variable in an expression with numbers. Constant: A quantity or term that does not change its value. It does not have a variable. Teaching Strategy: Review vocabulary Unit 2 List Preview SLM for Unit Complete SLM for unit 2 Summarizing Strategy: Review Activating Strategy. H.O.T. 321; From the Unit 2 SLM identify 3 things you already know, 2 things you have seen before but don’t fully understand, and 1 thing you have never seen or heard of before.

2 Activating Strategy: 1. Solve 3m + 6 = 21 2. 5k – 4 = 36
Agenda Message: Weekly Basics #5 Due tomorrow! Complete any unfinished classwork. 9/10/15 EQ: What properties do I need to understand to add and subtract algebraic expressions ? M7CC.EE M7CC.EE2 Activating Strategy: Solve m + 6 = k – 4 = 36 3. Solve (-7x )-5x = = 4 + 3r – 7r Teaching Strategy: Review Activating Strategy. Ch.3 L 1 p Summarizing Strategy: H.O.T. Ch. 3 L 1 p.168 #16-19

3 Activating Strategy: Distribute -6(-3m + 6) 5(7k – 4)
Agenda Message: Unit 2 List 1 Vocabulary Quiz on Thursday. 9/17/15 Unit 2 List 1 Vocabulary Graphic Organizer Due on Thursday. 9/17/15 Weekly Basics #6 Due Friday 9/18/15 (Show all your work!) 9/14/15 EQ: What properties do I need to understand to add and subtract algebraic expressions ? M7CC.EE M7CC.EE2 Activating Strategy: Distribute (-3m + 6) (7k – 4) Factor n q – 500f Teaching Strategy: Review Activating Strategy. Ch.3 L 3 p Summarizing Strategy: H.O.T. Ch. 3 L 3 p.186 #13 Find the error. Find the mistake and fix it.

4 Teaching Strategy: Review Activating Strategy. Ch.3 L 4 p.193-194
Agenda Message: Unit 2 List 1 Vocabulary Quiz on Thursday. 9/17/15 Unit 1 List 1 Vocabulary Graphic Organizer Due on Thursday. 9/17/15 Weekly Basics #6 Due Friday 9/18/15 (Show all your work!) 9/15/15 EQ: What properties do I need to understand to add and subtract algebraic expressions ? M7CC.EE M7CC.EE2 Activating Strategy: Teaching Strategy: Review Activating Strategy. Ch.3 L 4 p Summarizing Strategy: H.O.T. Ch. 3 L 4 p.194 #21 Reason Abstractly: Write an expression, that when using the distributive property, can be simplified to 12a + 18b - 6c. 1) Distribute -4(10f - 11) 2) Factor q - 30 3) Solve (-51) =5w w 4) justify each step taken to solve the equation in #4

5 Agenda Message: Unit 2 List 1 Vocabulary Quiz tomorrow
Agenda Message: Unit 2 List 1 Vocabulary Quiz tomorrow. Unit 1 List 1 Vocabulary Graphic Organizer Due tomorrow. Weekly Basics #6 Due Friday 9/18/15 (Show all your work!) 9/1615 EQ: What properties do I need to understand to add and subtract algebraic expressions ? M7CC.EE M7CC.EE2 Activating Strategy: Teaching Strategy: Review Activating Strategy. Ch.3 L 5 p Summarizing Strategy: H.O.T. Ch. 3 L 5 p.206 #16 Which one doesn’t belong? Explain your reasoning. x-2+3x 4(x-2) x-3x 4x-2 1) Distribute -7(10z – 5g) 2) Factor r - 36 3) Solve (-111) =9w w 4) justify each step taken to solve the equation in #4 1 4 (𝑥−20) 1 4 𝑥−5  1 4 x  = -2  -2  3 12 

6 Agenda Message: Weekly Basics #6 Due tomorrow (Show all your work!)
9/1715 EQ: How are algebraic expressions evaluated? M7CC.EE M7CC.EE2 Activating Strategy: Teaching Strategy: 1) Unit 2 List 1 Vocabulary Quiz 2) Review Activating Strategy. 3) Complete independent practice page for chapter 3 lessons 1,3,4 and 5. Summarizing Strategy: H.O.T. Ch. 3 L 5 p.206 #16 Which one doesn’t belong? Explain your reasoning x-2+3x (x-2) x-3x x-2 1) Calculate (-49) - (- 17) 2) Evaluate 3q – When q = (-5) 3) Solve 2 - 5m +2 = (-34) 4) Simplify 4x+2.8y +2x +2.2y +5x+4x

7 Agenda Message: Chapter 3 test on Thursday. Study!
9/18/15 Computer Lab: Mobymax Go to progress. What was your starting grade level? ____ Goal 7th grade Go to time. How much have you spent on Mobymax at home (You should have 60 min )? _____ Continue working on your current level. Use the rest of this page for your calculations.

8 Agenda Message: 1. Chapter 3 Test on Thursday 9/24/15 2
Agenda Message: 1. Chapter 3 Test on Thursday 9/24/15 2. Weekly Basics #7 Due Friday 9/25/15 3. Unit 2 List 2 Vocabulary Quiz on Tuesday. 9/29/15 4. Unit 2 List 2 Vocabulary Graphic Organizer Due on Tuesday. 9/29/15 5. Get math grade reports signed! 9/21/15-9/22/15 EQ: How do we add and subtract linear expressions ? M7CC.EE M7CC.EE2 Activating Strategy: 1) The sum of 3 consecutive even numbers is 36. What is the smallest of these numbers? A) 9 B) C) D) 4 2) 7(2f -6c) + 9r A) 16fcr B) 14f-42c-63r C) 14f + 42c +9r D) 14f-42c +9r 3) Translate the verbal phrase “8 more than the quotient of a number and 7” A) 𝒏 𝟕 +𝟖 B ) 𝟕 𝒏 +𝟖 C) ) 𝟕+𝒏 𝟖 D) ) 𝒏+𝟖 𝟕 4) Translate the verbal phrase “4 less than twice a number” A) 𝟒−𝟐𝐱 B) 𝟐𝐱−𝟒 C) 𝟐−𝟒𝐱 D) 𝟒𝐱−𝟐 Teaching Strategy: Guided Practice Chapter 3 lessons 6 and 7 Equations Distributive Prop and Com Like Terms Summarizing Strategy: Review Activating Strategy

9 Distributive Property
A ( B + C ) Outside has to meet all the inside A(B) + A(C) Do not change any operation signs 5 ( B + 3 ) = 5B + 15 4 ( G – 2 ) = 4G - 8

10 Variation on the Distributive Property
(5B + 3V) + (4B + 6V) If there is an addition sign between the ( ) then you can just eliminate the ( ). Do not change any operational signs 5B + 3V + 4B + 6V Then combine (simplify) 9B + 9V

11 Another variation (5H + 2A ) – (3H + A)
If there is a subtraction sign between the ( ) then don’t change anything in the first ( ), BUT change everything inside the second ( ). 5H + 2A - 3H – A then combine (simplify) 2H + 1A or 2H + A

12 Agenda Message: 1. Chapter 3 Test on Thursday 9/24/15 2
Agenda Message: 1. Chapter 3 Test on Thursday 9/24/15 2. Weekly Basics #7 Due Friday 9/25/15 3. Unit 2 List 2 Vocabulary Quiz on Tuesday. 9/29/15 4. Unit 2 List 2 Vocabulary Graphic Organizer Due on Tuesday. 9/29/15 5. Get math grade reports signed! 9/23/15 EQ: How do we add and subtract linear expressions ? M7CC.EE M7CC.EE2 Activating Strategy: 1) The sum of 3 consecutive odd numbers is 15. What is the smallest of these numbers? A) 3 B) C) D) 4 2) Evaluate y+xy+y use x=6 and y=3 3) Solve (4n-5e) + (7n-10e) ) Solve (4n-5e) - (7n-10e) 5) The perimeter of a rectangle is 32cm. Then length is 11cm. What is the width? A) 17cm B) 10cm C) 5cm D) 30cm Teaching Strategy: Guided Practice Chapter 3 lessons 7 -8 Equations Distributive Prop and Com Like Terms Summarizing Strategy: Review Activating Strategy

13 Agenda Message: 1. Chapter 3 test tomorrow. 2
Agenda Message: 1. Chapter 3 test tomorrow Weekly Basics #7 due tomorrow. 3. Get math grade reports signed! 9/24/15 EQ: How do we add and subtract linear expressions ? M7CC.EE M7CC.EE2 Activating Strategy: Use my initials for variables and your age, with any two numbers to create an expression. Apply as many the unit 2 list 1 terms to your expression. Work with a partner (student A and student B). Add A’s expression to B’s expression. Subtract B’s expression from A’s expression. Review Activating Strategy (One pair of students) Teaching Strategy: H.O.T. 1. Chari’s cell phone company charges a flat monthly fee of $15. They charge an additional $0.10 for each text T that she sends. Write an expression that represents her total bill each month? If she sends 100 text messages, how much will it cost Chari? 2. Brian is going bowling. There is a $4. charge per game plus $2 for the shoe rental. Write an expression that represents the total cost for g games? If he bowls 3 games, how much will he pay? Continue working on Chapter 3 lessons 7 – 8 with a partner. Summarizing Strategy: Review Activating Strategy

14 Agenda Message: 1. Weekly Basics Due Friday 10/2/15 2
Agenda Message: 1. Weekly Basics Due Friday 10/2/15 2. Unit 2 List 2 Vocabulary Graphic Organizer Due on Thursday. 10/1/ Unit 2 List 2 Vocabulary Quiz on Tuesday. 10/6/15 4. Complete any unfinished classwork. 9/28/15 EQ: How do we solve equations with rational coefficients? M7CC.EE3 M7CC.EE4 M7CC.NS2 Activating Strategy: Copy Vocab. terms , definitions and examples for Unit 2 List 2 Vocabulary. 1. Equation: A mathematical sentence that contains an equal sign. Example: 3 𝑛 2 +9=55 2. Linear Equation: An equation whose solution is a straight line. Example: 20=4𝑚+5 3. Like Terms: Terms in an algebraic expression that have the same variable raised to the same power. Only the coefficients are different. Example: 6r and 3r and − 𝑛 2 𝑎𝑛𝑑 −4 𝑛 2 4. Inverse Operation: Pairs of operations that undo each other. Example: ÷ and x and + 5. Order of Operations: The rules to be followed when simplifying expressions. Example: 𝑃𝐸𝑀𝐷𝐴𝑆 () , 𝑛 2 , x/÷ , +/- 6. Exponent: The number of times a number or expression (called base) is used as a factor of repeated multiplication. It is also called the power. Example: 𝑛 Teaching Strategy: = 0.25n n= x = d =5 Chapter 4 Lesson 3 p Guided Review (copy solution to activating strategy) Summarizing Strategy: Work with a partner to complete p

15 Agenda Message: 1. Weekly Basics Due Friday 10/2/15 2
Agenda Message: 1. Weekly Basics Due Friday 10/2/15 2. Unit 2 List 2 Vocabulary Graphic Organizer Due on Thursday. 10/1/ Unit 2 List 2 Vocabulary Quiz on Tuesday. 10/6/15 4. Complete any unfinished classwork. 9/29/15 EQ: How do we solve equations with rational coefficients? M7CC.EE3 M7CC.EE4 M7CC.NS2 Activating Strategy: 3(x+5)= (n-2)= ( n+6) = (c-3) = -10 Teaching Strategy Review Chapter 3 test. Identify questions you missed. Chapter 4 Lesson 5 p Guided Review (copy solution to activating strategy) Summarizing Strategy: Explain how to solve one problem you missed on the Chapter 3 test. Students who made 100%; Identify a mistake your partner made on the test. How did you explain it to them?

16 Translate each verbal expression.
Agenda Message: 1. Weekly Basics Due Friday 10/2/15 2. Unit 2 List 2 Vocabulary Graphic Organizer Due tomorrow. 3. Unit 2 List 2 Vocabulary Quiz on Tuesday. 10/6/15 4. Complete any unfinished classwork. 9/30/15 EQ: How do we solve equations with rational coefficients? M7CC.EE3 M7CC.EE4 M7CC.NS2 Activating Strategy: 5) (5r - 4q) - ( 2r+7q) ) Expand (Distribute) -10 (4m – 5) Translate each verbal expression. 11)  “ 6 more than the quotient of a number and 3” 12) “8 less than triple a number” Teaching Strategy Review Activating strategy (most missed questions from the chapter 3 test # 5, 6, 11,and 12) Continue reviewing Chapter 3 test (most missed based on each class results). Summarizing Strategy: Explain how to solve one problem you missed on the Chapter 3 test. Students who made 100%; Identify a mistake your partner made on the test. How did you explain it to them?

17 Teaching Strategy Review test correction opportunity
Agenda Message: 1. Weekly Basics #8 due tomorrow! 2. Unit 2 List 2 Vocabulary Quiz on Tuesday. 10/6/15 3. Complete any unfinished classwork. 10/1/15 EQ: How do we solve equations with rational coefficients? M7CC.EE3 M7CC.EE4 M7CC.NS2 Activating Strategy: 15 min. Complete vocabulary graphic organizer, review and complete notes, work on weekly basics #8 Teaching Strategy Review test correction opportunity Continue reviewing Chapter 3 test (most missed based on each class results). Summarizing Strategy: Explain how to solve one problem you missed on the Chapter 3 test. Students who made 100%; Identify a mistake your partner made on the test. How did you explain it to them?

18 Activating Strategy: Solve and Graph the solution to each inequality.
Agenda Message: 1. Weekly Basics/Unit 2 Study Guide Due Tuesday 10/13/15 2. Unit 2 List 2 Vocabulary Quiz tomorrow. 3. Chapter 4 test on Thursday 10/8/ Unit 2 List 3 Vocabulary Quiz on Wednesday. 10/14/15 5. Unit 2 CDA next Thursday 10/15/15. 10/5/15 EQ: How do we solve equations and inequalities with rational coefficients? M7CC.EE M7CC.EE4 M7CC.NS2 Activating Strategy: Solve and Graph the solution to each inequality. 1) 8x ≤ ) 𝑑 2 > ) -2g < ) 𝑥 −3 ≤ 4 Teaching Strategy: Chapter 4 Lesson 8 p (Read/Discuss Examples) Summarizing Strategy: Work with a partner to complete Chapter 4 Lessons 8 p Independent Practice.

19 Agenda Message: 1. Weekly Basics/Unit 2 Study Guide Due Tuesday 10/13/15 2. Chapter 4 test on Thursday 10/8/ Unit 2 List 3 Vocabulary Quiz on Wednesday. 10/14/15 4. Unit 2 CDA next Thursday 10/15/15. 10/6/15 EQ: How do we solve equations and inequalities with rational coefficients? M7CC.EE M7CC.EE4 M7CC.NS2 Activating Strategy: Quietly Review for Vocabulary quiz Unit 2 List 2. Take Quiz Teaching Strategy: Complete a graphic organizer for 7th Grade Unit 2 List 3 Vocabulary 1. Solution: A number (or ordered pair of numbers, or set of numbers) that produces a true statement when substituted for the variable(s) in an equation or inequality. 2. Inequality: Any mathematical sentence that contains the symbols >, <, ≥, ≤, or ≠ to compare two quantities 3. Multiplication Property of Equality - If you multiply each side of an equation by the same nonzero number, the two sides remain equal. 4. Multiplication Property of Inequality- When you multiply each side of an inequality by a negative number, the inequality symbol must be reversed for the inequality to remain true. 5. Division Property of Equality - If you divide each side of an equation by the same nonzero number, the two sides remain equal. 6. Division Property of Inequality- When you divide each side of an inequality by a negative number, the inequality symbol must be reversed for the inequality to remain true. Summarizing Strategy: Work with a partner to complete Chapter 4 Lessons 8 p Independent Practice.

20 Agenda Message: 1. Weekly Basics/Unit 2 Study Guide Due Tuesday 10/13/15 2. Chapter 4 test tomorrow. 43. Unit 2 List 3 Vocabulary Quiz on Wednesday. 10/14/15 4. Unit 2 CDA next Thursday 10/15/15. 10/7/15 EQ: How are mathematical expressions, equations, and inequalities used to represent and solve real-world and mathematical problems? M7CC.EE1 M7CC.EE2 M7CC.EE3 M7CC.EE4 M7CC.NS2 Activating Strategy: Weekly Basics Monday # Graph the solution to each inequality Graph the solution to each inequality 1) 3(x+5) < ) 5(n-2) > ) 𝟐 𝟑 ( n+6) ≤ ) 0.2 (c-3) ≥ -10 Teaching Strategy: Clyde had $50 to spend on clothes at Old Navy.  After buying 3 t-shirts, he had $18.20 left.  How much did each t-shirt cost? Find the value of N   +  2N  =  3) Barney has $10 to spend at the fair.  After spending $3 on an ice cream cone, he wants to play as many games as possible.  Games cost $1.50 each.  Create an inequality for the situation. Solve and graph it. Summarizing Strategy: 3 2 1

21 Agenda Message: 1. Weekly Basics/Unit 2 Study Guide Due Tuesday 10/13/15 2. Unit 2 List 3 Vocabulary Quiz on Wednesday. 10/14/15 3. Unit 2 CDA next Thursday 10/15/15. 10/8/15 EQ: How are mathematical expressions, equations, and inequalities used to represent and solve real-world and mathematical problems? M7CC.EE1 M7CC.EE2 M7CC.EE3 M7CC.EE4 M7CC.NS2 Activating Strategy: Weekly Basics/Study Guide Review 1 problem. Mon #4, Wed #1-2, or Thurs #1-2 Clear your desk and quietly prepare for the Chapter 4 test. Teaching Strategy: Chapter 4 Test :Show all your work on the back of the test . Quietly read a book if you finish early. Summarizing Strategy: Reflect on how you prepared for this test. How do you think you did on the test? Do you feel you could have studied more? How will this affect the way you prepare for the Unit 2 CDA next Thursday?

22 Activating Strategy: Weekly Basics/Study Guide Review
Agenda Message: 1. Weekly Basics/Unit 2 Study Guide Due Thursday 10/15/15 (Parent signature 20 points!) 2. Unit 2 List 3 Vocabulary Quiz tomorrow. 10/14/15 3. Unit 2 CDA on Thursday 10/15/15. 10/13/15 EQ: How are mathematical expressions, equations, and inequalities used to represent and solve real-world and mathematical problems? M7CC.EE1 M7CC.EE2 M7CC.EE3 M7CC.EE4 M7CC.NS2 Activating Strategy: Weekly Basics/Study Guide Review Teaching Strategy: Weekly Basics/Study Guide Review Summarizing Strategy: Reflect on how you prepared for the chapter 3 and 4 tests. Do you feel you could have studied more? How will this affect the way you prepare for the Unit 2 CDA next Thursday?

23 Activating Strategy: Weekly Basics/Study Guide Review
Agenda Message: 1. Weekly Basics/Unit 2 Study Guide Due Thursday 10/15/15 (Parent signature 20 points!) 2. Unit 2 List 3 Vocabulary Quiz tomorrow. 10/14/15 3. Unit 2 CDA on Thursday 10/15/15. 10/14/15 EQ: How are mathematical expressions, equations, and inequalities used to represent and solve real-world and mathematical problems? M7CC.EE1 M7CC.EE2 M7CC.EE3 M7CC.EE4 M7CC.NS2 Activating Strategy: Weekly Basics/Study Guide Review Teaching Strategy: Review Chapter 4 test Review parts of Chapter 3 test . Summarizing Strategy: Reflect on how you prepared for the chapter 3 and 4 tests. Do you feel you could have studied more? How will this affect the way you prepare for the Unit 2 CDA next Thursday?

24 How can algebraic equations be solved?
Agenda Message: 1. Weekly Basics Quarter 2 # 2 Due Friday 10/23/ Unit 2 Folder Project Due Friday 10/23/ Unit 3 SLM Due Thursday 10/22/15. 10/19/15 EQ: How are mathematical expressions, equations, and inequalities used to represent and solve real-world and mathematical problems? M7CC.EE1 M7CC.EE2 M7CC.EE3 M7CC.EE4 M7CC.NS2 Activating Strategy: Review Unit 2 Folder Project Rubric. Do you have everything? What do you need to do next? Teaching Strategy: Give a complete answer and example for the EQ’s below. How can algebraic equations be solved? How are algebraic expressions evaluated? How do I solve and graph inequalities? Summarizing Strategy: H.O.T. Ch. 3 L 5 p.206 #16 Which one doesn’t belong? Explain your reasoning x-2+3x (x-2) x-3x x-2


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