Consecutive integers
Download
1 / 14

Consecutive Integers - PowerPoint PPT Presentation


  • 273 Views
  • Uploaded on
  • Presentation posted in: General

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, …

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha

Download Presentation

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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


Consecutive integers

Objective: Students will be able to solve consecutive integers problems.

Consecutive Integers

Linear Problems


Two cases for consecutive numbers
Two Cases for Consecutive Numbers integers problems.

  • 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, …


Read and solve
Read and solve integers problems.

  • The sum of two consecutive even numbers is -14. What are the two numbers.


Step 1
Step 1: integers problems.

  • Define the unknown.

    • Let x = 1st consecutive number.

    • Let x + 2 = 2nd consecutive number.


Step 2
Step 2: integers problems.

  • Setup the Equation.

    • (x) + (x + 2) = -14


Step 3
Step 3: integers problems.

  • Solve the equation.

    (x) + (x + 2) = -14

    x + x + 2 = -14

    2x + 2 = - 14

    - 2 - 2

    2x = -16

    2 2

    x = - 8


Step 4
Step 4 integers problems.

  • Answer the question

    x = –8

    x + 2 =

  • Check

    –8 + (–6) = –14

-6


Speed distance time
Speed, Distance & Time integers problems.

Speed, Distance, Time Calculations


Consecutive integers

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


Consecutive integers

Reminder: How to change minutes into a decimal formulas to calculate speed, distance or time

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


Consecutive integers

Distance formulas to calculate speed, distance or time

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:


Consecutive integers

Distance formulas to calculate speed, distance or time

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


Consecutive integers

D formulas to calculate speed, distance or time

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


Consecutive integers

Distance formulas to calculate speed, distance or time

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


ad
  • Login