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Thursday Do Now

CHAMPS C – SILENT (Level 0) H – RAISE HAND A – COMPLETE ALL QUESTIONS. M – REMAIN SEATED P - SLANT. Thursday Do Now. Homework. Solving systems by graphing DAY 2. Check your HW. How will I meet the objective today? .

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Thursday Do Now

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  1. CHAMPS C – SILENT (Level 0) H – RAISE HAND A – COMPLETE ALL QUESTIONS. M – REMAIN SEATED P - SLANT Thursday Do Now

  2. Homework Solving systems by graphing DAY 2

  3. Check your HW

  4. How will I meet the objective today? By the end of today’s lesson, I will meet the objective by solving systems of linear equations by graphing with 80% accuracy. Rate Yourself on the objective! 4 - I can teach today’s lesson 3 - I understand most of today’s lesson. 2 - I only understand some of today’s lesson. 1 – I don’t understand today’s lesson.

  5. Notebook Set Up • Page 61 • Title: Solving Systems by Graphing Day 2 • Update your table of contents

  6. What is the solution of the system graphed below? • (2, -2) • (-2, 2) • No solution • Infinitely many solutions

  7. Solving a system of equations by graphing. Step 1: Graph both equations. Step 2: Do the graphs intersect? Step 3: Check your solution.

  8. TODAY • Today we will be graphing equations in standard form • How do we graph equations that are in standard form?

  9. Ex 1 Find the solution to the following system: 2x + y = 4 x - y = 2 Graph the ordered pairs. 2x + y = 4 (0, 4) and (2, 0) x – y = 2 (0, -2) and (2, 0)

  10. Graph the equations. 2x + y = 4 (0, 4) and (2, 0) x - y = 2 (0, -2) and (2, 0) Where do the lines intersect? (2, 0) 2x + y = 4 x – y = 2

  11. Check your answer! To check your answer, plug the point back into both equations. 2x + y = 4 2(2) + (0) = 4 x - y = 2 (2) – (0) = 2 Nice job…let’s try another!

  12. Previously, we have dealt with systems with one solution • Now we will look at our SPECIAL CASES

  13. Parallel Lines • These lines never intersect! • Since the lines never cross, there is NO SOLUTION! • Parallel lines have the same slope with different y-intercepts.

  14. Coinciding Lines • These lines are the same! • Since the lines are on top of each other, there are INFINITELY MANY SOLUTIONS! • Coinciding lines have the same slope and y-intercepts.

  15. Summary • When equations are in ________ form, your should … • The three types of solutions for linear equations are … • One special case is …

  16. CHAMPS C – Level 2 (Conversation) H – Check Notes, Ask 1 Before Me! A – COMPLETE ALL Problems. M – Remain seated, raise hand first P - SLANT Partners • You will work together with your partners to complete the practice problems (# 1-10). • You have 10 seconds to turn to your partner. Norms Be Polite Be Productive!

  17. CHAMPS RED Exit Slip Solve the system Check your work

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