This booklet, one of a series, has been developed for the project, A Program for Mathematically Underdeveloped Pupils. A project team, including inservice teachers, is being used to write and develop the materials for this program. The materials developed in this booklet include (1) the addition and subtraction of whole numbers on the number line, (2) the addition and subtraction of integers on the number line, and (3) the idea of inequality. Accompanying these booklets will be a "Teaching Strategy Booklet" which will include a description of teacher techniques, methods, suggested sequences, academic games, and suggested visual materials. (RP)
Authors
- Laws Policies and Programs
- Elementary and Secondary Education Act Title III
- Peer Reviewed
- F
- Published in
- United States of America
Table of Contents
- Graduate and Student Assistants 3
- Jeanne Hullihan 3
- Connie Speaker Ambie Vought 3
- Donnie Anderson Dale McClung 3
- Dianah M. Hills Juanita Wyne 3
- Do Not Reproduce Without Permission 3
- September 1967 3
- For information write 3
- Bldg. S-503 School Annex West Palm Beach Florida 3
- TITLE III MATH. PROJECT 4
- Dr. Jack L. Foley 4
- Administrative Assistant 4
- Miss Elizabeth Basten 4
- Mrs. Ruth Bower 4
- Schools 4
- Belle Glade Junior High School 4
- Boynton Beach Junior High School 4
- Holy Name School 4
- North Shore Jr.-Sr. High School Roosevelt Jr.-Sr. High School 4
- Poinciana School Saint Ann School 4
- Mr. Clinton Butler Jr. 4
- A number line is often used to illustrate number relationships and 5
- For example the operations of addition and subtraction 5
- 11 13 5
- To show this first move three spaces and then six more 5
- 3 9 5
- 0 4 6
- 9 10 11 12 13 6
- 9 10 11 12 13 14 6
- 9 10 11 121314 6
- 9 10 11 12 13 14 15 16 17 18 6
- 2 3 7
- 3 m 7
- What do you notice about your answers to a and b 7
- What do you notice about your answers to c and d 7
- Do you think this is true for 7
- The numbers we have been working with 7
- 0 1 2 3 4 7
- Each point below represents one 8
- They 8
- These numbers are sometime called signed numbers or directed 8
- The numbers to the left of zero are called neRativtlintegers and 8
- The numbers ere read as 8
- Does zero have an 9
- This makes every integer have 9
- On the number line a number to the right of another number 10
- -5 -4 -3 -2 2 5 10
- Remember the relation symbols is greater than and is less 10
- Now we can write 10
- Rearrange the following integers so that they will be in order from 11
- 0 -8 4 -2 -9 6 11
- 6 8 0 -2 3 -8 11
- It looked like the picture below 11
- In August Mr. Blacks stake looked like this 12
- Feet 13
- Rocket Firing 13
- After firing 13
- Sea Level 13
- City B is 350 below sea level. 13
- City C is 100 above city B. 13
- Locate the cities. 13
- How long is it from 10 seconds 13
- How long is it from 7 seconds 13
- 7 seconds after firing is how 13
- 12 No. Line 14
- This no. line represents the floors 14
- The ground floor is 14
- Player A starts at 50 yard line 14
- Where would he be 14
- Player B starts at the 30 yard line 14
- Where 14
- Player C starting at 50 yards gains 14
- Where 14
- 13 No. line 15
- Show the landing of Columbus 15
- Operations--Addition and Subtraction 16
- Follow the activity below as an introduction to adding and subtracting 16
- Activities 16
- Cut out two long stripe of paper and number them like the examples 16
- Slide number 1. moves. 16
- Consider the problem -4 16
- 0 1 16
- Slide number 2 stays still ane we move slide number 1. so that the 17
- What is the 17
- Yes -4 17
- Now try 17
- Try -6 17
- No. 2 17
- 74-lo -9 75 17
- You can also add integers by simply counting 18
- Bere is how you do it. 18
- -4 3 18
- Start with the first number LI 18
- If the 7 had been a positive number 18
- When you are adding a positive numberLou count to the ri 18
- The line 19
- The three problems are 19
- 61 make a move of -3. 19
- Notice that a move to the left is a negative move and a move to the 19
- The problem below can be shown by multiple moves more than one 21
- -9 0 21
- -16 21
- Since you have learned to add integers you can solve any subtraction 23
- The 23
- See the examples below. 23
- Activities 23
- - 14 23
- The problem below can be rewritten 24
- Activities 24
- . 10 24
- - - 24
- - -24 24