1 / 14

Consecutive Integers

Objective: Students will be able to solve consecutive integers problems. Consecutive Integers. Linear Problems. Two Cases for Consecutive Numbers. Case one: Consecutive numbers like 4, 5, 6,7, … x, x + 1, x + 2, x + 3, … Case Two: Consecutive odd numbers like –5, –3, –1, 1, 3, …

domani
Télécharger la présentation

Consecutive Integers

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Objective: Students will be able to solve consecutive integers problems. Consecutive Integers Linear Problems

  2. Two Cases for Consecutive Numbers • Case one: • Consecutive numbers like 4, 5, 6,7, … • x, x + 1, x + 2, x + 3, … • Case Two: • Consecutive odd numbers like –5, –3, –1, 1, 3, … • x, x + 2, x + 4, x + 6, … • Consecutive even numbers like –4, –2, 0, 2, 4, … • x, x + 2, x + 4, x + 6, …

  3. Read and solve • The sum of two consecutive even numbers is -14. What are the two numbers.

  4. Step 1: • Define the unknown. • Let x = 1st consecutive number. • Let x + 2 = 2nd consecutive number.

  5. Step 2: • Setup the Equation. • (x) + (x + 2) = -14

  6. Step 3: • Solve the equation. (x) + (x + 2) = -14 x + x + 2 = -14 2x + 2 = - 14 - 2 - 2 2x = -16 2 2 x = - 8

  7. Step 4 • Answer the question x = –8 x + 2 = • Check –8 + (–6) = –14 -6

  8. Speed, Distance & Time Speed, Distance, Time Calculations

  9. The aim of this lesson is to be able to use the correct formulas to calculate speed, distance or time

  10. Reminder: How to change minutes into a decimal 15 mins = 0•25 hour So: 3 hours 15 mins = 3•25hours 30 mins = 0•5 hour So: 7 hours 30 mins = 7•5hours 45 mins = 0•75 hour So: 2 hours 45 mins = 2•75hours

  11. Distance Distance = Speed x Time Speed = Time Distance Time = Speed D S T The 3 formulas for Speed, Time & Distance: Solving for Speed Solving for Time Solving for Distance Remember them from this triangle:

  12. Distance Time 28 = 1•75 D S T A windsurfer travelled 28 km in 1 hour 45 mins. Calculate his speed. Speed = 1 hour 45 mins = 16 km/h Answer: His speed was 16 km / hour

  13. D S T A salesman travelled at an average speed of 50 km/h for 2 hours 30 mins. How far did he travel? Distance = Speed x Time = 50 x 2•5 2 hour 30 mins = 125 km Answer: He travelled 125 km

  14. Distance Speed 555 = 60 D S T A train travelled 555 miles at an average speed of 60 mph. How long did the journey take? Time = = 9•25 hours = 9 hours 15 mins Answer: It took 9 hours 15 minutes

More Related