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Your Name Date Algebra 1B

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Presentation on theme: "Your Name Date Algebra 1B"— Presentation transcript:

1 Your Name Date Algebra 1B
Instructions: TRUE or FALSE. Justify. (Hint: True and False = False) When x = 10 and y = 8 then X + Y = 18 AND X – Y = 2 When x = 2 and y = -1 then 3x + 2y = 4 -x + 3y = -5 When x = 23 and y = 15 then Xy = 345 AND X2 – Y = 9

2 Agenda Notes: 8-1 What’s a System? TRUE or FALSE Example.
Homework: pg. 360 #’s , 32, 33, Monday Tuesday Wednesday Thursday Friday No School Graphing: X marks the spot. Which is the better plan? No Class

3 Objective: IWBAT identify the three different
types of systems of equations and check their solutions. Definition: A system is two or more equations that are related. Concept : 1) A solution make BOTH equations true. 2) The intersection is the solution.

4 There are three types of systems :
Discuss: TRUE or FALSE: a system with two linear equations with the same slope and Different y - intercepts will never have a solution. TRUE or FALSE: a system with two linear equations with different slopes will always have A solution. TRUE or FALSE: a system with one linear equation and a quadratic equation sometimes Has two solutions.

5 Example: Show that 1, -3 is the solution to the system below.

6 Justify using substitution.
Instructions: Find & Check the solution to the system of equations using the graph below. Justify using substitution. Exit Ticket

7 The system below has infinite numbers of solutions
TRUE FALSE

8 The system below has Infinitely Many solutions.
TRUE FALSE

9 The system below has No Solutions.
TRUE FALSE

10 The solution to the system below is (2,2)
TRUE FALSE

11 Your Name Date Algebra 1B
Instructions: Calculate your percentage achievement in each standard by Dividing the numerator by denominator. Multiply by 100. Set Operations: Union & Intersection Estimate and order Real Numbers Solutions to inequality One and multi-step inequalities Two-variable inequalities Compound inequalities and absolute value Total Standard A1.N.6. A1.N.4. A1.P.2. A1.P.13. A1.P.15 Points 3/4 2/2 6/8 4/9 2/4 6/9 23/36 Percentage 75% 100% 87% 44% 50% 67% 63%

12 Agenda Test Review 24-hour sale. Stations: .
Station 1: Beating the Average. Station 2: Standard Tracker Station 3: Project Entry Slip Homework: Test Corrections!!

13 24 Hour SALE! 100 % Possible Objective: For every student to pass the quiz. Rules: (0) Each correction is worth 100% of original points. (1) The Test must be corrected within 24 hours. (2) The corrections must have a complete sentence explaining the mistake. (3) Ask 3 other teachers, friends, brothers or sisters before me. .

14 Example of Test Corrections
Name Date Algebra 1 Unit 6: Test Corrections 4) 3.333… is rational because it can be Written as the fraction 10/3.

15 Station Expectations Everyone does Everything. Stay Focused
Work Independently (as a group.) Rotate every 10 minutes. Station 1: Beating the Average Station 2: Standard Trackers Station 3: Portfolio & Entry Slip.

16 Standards Tracker for Unit 6
Watch As You Grow. Instructions: Copy the standard onto your standard tracker. Shade the bar graph to the appropriate standard. Staple tracker to the front of the test.

17 Beating the Average Objective: SWBAT calculate the mean of the grades and predict the grade needed for a target grade. Materials: How to find the mean: Sum all the scores(+) Divide by the number of tests

18 Your Name Date Algebra 1B
Instructions: Answer in complete sentences. Thursday Exit Ticket What was your strongest skill on the test? Which area will you work the most on? How will you improve your grade for next unit? Do Now Participation Homework

19 Wednesday TRUE or FALSE
Instructions: Circle the intersection. Substitute the intersection into the equation. Simplify. TRUE or FALSE Wednesday Exit Ticket Do Now Participation Homework

20 Agenda Homework Review (5 min.)
Stations: Review of Systems Definition. Notes: Solving Systems by Graphing: CLICK Practice: Real World Problem Homework: Pg. 401, #’s 17-22, 35, Pg. 403, #’s 47, 49, 50. Monday Tuesday Wednesday Thursday Friday No School Unit 7: Working the System Graphing: X marks the spot. Which is the better plan? GRASP: The Cell Phone Conspiracy

21 Station Expectations. Review: Level 0, #’s 1, 2 & 3
Everyone does Everything. Stay Focused Work Independently (as a group.) Rotate every 10 minutes. Review: Level 0, #’s 1, 2 & 3

22 Date Algebra 1B Unit 7: Solving by Graphing
Objective: IWBAT solve a system of equations By graphing. Procedure: Choose a Method Lines, Graph Intersection, Find. ChecK by substitution.

23 Level 1: Guided Practice
X = 6 Y = -2 6 = 6 -2 = -2 Procedure: Choose a Method Lines, Graph Intersection, Find. ChecK by substitution. (6, -2)

24 Level 1: Guided Practice
Y = x - 2 Y = -x + 4 1 = 3- 2 1 = (3, 1) Procedure: Choose a Method Lines, Graph Intersection, Find. ChecK by substitution.

25 Practice on Your Own: #’s 7 - 9

26 Challenge: Can you write the equations for the graph below?

27 a. y = 3x + 4 and y = -5x + 4 b. y = 3x + 5 and y = 3x – 5
Instructions: Label each equations with numbers of solutions. One Solution No Solutions Infinite Solutions Different Slope Different Intercept Same Slope Different Intercept Same Intercept Wednesday a. y = 3x + 4 and y = -5x + 4 b. y = 3x + 5 and y = 3x – 5 c. y = 2/7 x + 5 and y = 2/7 x – 4

28 Find the intersection and check by substitution.
Thursday Do Now Participation Homework

29 Agenda Homework Review CLICK: Solving by Graphing.
Real Life Problem: DSL vs. FIOS. Homework: Pg. 402, #’s 23, 25, 29, 36, Your cell phone – cost per month, cost for overtime minutes, cost per text. Need to adapt HSA Item for Graphing. Monday Tuesday Wednesday Thursday Friday No School Unit 7: Working the System Graphing: X marks the spot. The Tortoise & The Hare. GRASP: The Cell Phone Conspiracy

30 Date Algebra 1B Unit 7: Solving by Graphing
Objective: IWBAT solve a system of equations By graphing. Procedure: Choose a Method Lines, Graph Intersection, Find. ChecK by substitution.

31 Level 1: Guided Practice
X = 6 Y = -2 6 = 6 -2 = -2 Procedure: Choose a Method Lines, Graph Intersection, Find. ChecK by substitution. (6, -2)

32 Level 1: Guided Practice
Y = 1x - 2 Y = -1x + 4 1 = 3- 2 1 = (3, 1) Procedure: Choose a Method Lines, Graph Intersection, Find. ChecK by substitution.

33 Level 2: Guided Practice
3x + y = 6 Y = x + 2 3(1) + 3 = 6 3 = 1 + 2 (1, 3) Procedure: Choose a Method Lines, Graph Intersection, Find. ChecK by substitution.

34 Level 2: #7

35 Practice on Your Own: #’s 6 - 9
Procedure: Choose a Method Lines, Graph Intersection, Find. ChecK by substitution.

36 Real Life Problem: DSL vs. FIOS
When do DSL and FIOS costs the same amount? DSL Access DSL costs $8.00 per month plus $3.00 per hour FIOS Access DSL costs $13.00 per month plus $2.00 per hour

37 DSL vs. FIOS When is each cheaper?
Time (Hours) Cost (Dollars) Access: $ h = c Network: $ h = c Hours Cost 4 8 35 30 25 20 15 10 5 Hours Cost 4 8

38 Challenge: How Many Dinosaurs in the Lake?

39 Challenge: Can you write the equations for the graph below?

40 Instructions: Answer the following questions in full sentences.
Exit Ticket Starting Amount Rate (per) Time Money Instructions: Answer the following questions in full sentences. Liam's mother promised to donate to the school $4 per mile that Liam walks, plus an additional $30. If Liam walk 15 miles, how much will his mom donate? Write a equation describing how much y money Liam’s mom will donate if Liam walks x miles.

41 Cost for Overtime Minutes: Cost per text:
Instructions: Write the following information about your cell phone plan below. Friday Monthly Cost: Number of Minutes: Cost for Overtime Minutes: Cost per text: Exit Ticket Do Now Participation Homework

42 Instructions: Use the model to write equation to describe the situation below.
Starting Cost Rate (per) Time Cost Friday A cell phone plan costs $39.99 a month and $0.45 per overtime minute. A mechanic costs $150 to fix a car and $60 per hour. A car costs $3000 down and then $450 per month. Do Now Participation Homework

43 Agenda Homework Review Portfolio Organization.
GRASP: The Cell Phone Conspiracy. Writing the Equations. Solving by Substitution (Newbie Level) Homework: Complete graph & check solution. Monday Tuesday Wednesday Thursday Friday No School Unit 7: Working the System Graphing: X marks the spot. GRASP: The Cell Phone Conspiracy

44 Portfolio Organization (10 min.)
Your Name: Algebra 1: Unit 1 Test & Corrections Unit 2 Test Unit 3 Test Unit 4 Test Final Exam. Tri-Triangles What’s the Best Deal? Bungee Jumping Conference Tables Words & Equations Number Calculations Can Straight Lines Curve? Standard Tracker Tests Projects Tasks Trackers

45 Standard Tracker & Portfolio Prep
Instructions: Organize your paper into the folders. Unit 6 Test & Standards Tracker Dirt Bike Project & Entry Slip. Tests Projects Tasks Trackers

46 Are you paying too much for your cell phone?
FCC announces that the average American cell phone plan is: $39.99 for 450 minutes with an overtime charge of $0.35 per minute

47 Date Algebra 1B Unit 7: Solving by Substitution
Objective: IWBAT solve systems of equations by substitution. Concept: 1)For every problem that you can’t solve, There’s an easier one that you can. FIND IT. Procedure: If A = B and B = C then A = C

48 Date Algebra 1B Unit 7: Solving by Substitution
Example 1: Solve the system below: y = 2x + 2 y = 3x + 4 2x + 2 = 3x ) Substitute for y. 2 = x ) Solve for x. -2 = x y = 2(-2) ) Substitute for x y = ) Solve for y.

49 Newbie Practice: In your sourcebook Solve for x & y.
y = 2x – 1 y = 3x + 6 B. Y = 5x + 17 Y = -2x + 3 C. 9 – 3x = y Y = -3x + 2 D. Y = 65 Y = x E. X = 3y X = 2y + 1 F. X = y + 3

50 DCBAS on Tuesday for all of 9th Grade & 10th Grade.
Upcoming & Incoming DCBAS on Tuesday for all of 9th Grade & 10th Grade. GO GREEN!! GO BLUE!!

51 Your Name Date Algebra 1B
Instructions: Answer in Complete Sentences. Friday Exit Ticket: What is the equation for the average cell phone plan? What is the equation for your cell phone plan? Do Now Participation Homework


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