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Grade 7:  The Learning Equation Math

12.04 Adding Integers

Number Operations

Exploring Integers - Optional
Refresher pp 28-9
Activity 12.04
Refresther pp 30-1
Learning Objectives:

The student will:

  • add integers concretely, pictorially, and symbolically.

    Drag the appropiate number of tiles to each side of the + sign to model the question. When your model matches the question, move all of the tiles to the left of the + sign. If you have yellow and red tiles, try placing a red tile on top of the yellow tile to show a zero pair. Repeat with all of the zero pairs to see the integer sum modelled by each set of tiles.

Adding Integers Explanation
tile_pos_1.gif (852 bytes) tile_pos_1.gif (852 bytes) tile_pos_1.gif (852 bytes)           tile_pos_1.gif (852 bytes) tile_pos_1.gif (852 bytes) tile_pos_1.gif (852 bytes) tile_pos_1.gif (852 bytes)
3 + 4 = 7
tile_pos_1.gif (852 bytes) tile_pos_1.gif (852 bytes) tile_pos_1.gif (852 bytes)           tile_pos_1.gif (852 bytes) tile_pos_1.gif (852 bytes) tile_pos_1.gif (852 bytes) tile_pos_1.gif (852 bytes)
tile_pos_1.gif (852 bytes) tile_pos_1.gif (852 bytes) tile_pos_1.gif (852 bytes)           tile_pos_1.gif (852 bytes) tile_pos_1.gif (852 bytes) tile_pos_1.gif (852 bytes)      
6 + 7 = 13
tile_neg_1.gif (852 bytes) tile_neg_1.gif (852 bytes) tile_neg_1.gif (852 bytes)         tile_neg_1.gif (852 bytes) tile_neg_1.gif (852 bytes) tile_neg_1.gif (852 bytes) tile_neg_1.gif (852 bytes) -3 + -4 = -7
tile_neg_1.gif (852 bytes) tile_neg_1.gif (852 bytes) tile_neg_1.gif (852 bytes)          tile_neg_1.gif (852 bytes) tile_neg_1.gif (852 bytes) tile_neg_1.gif (852 bytes) tile_neg_1.gif (852 bytes)
tile_neg_1.gif (852 bytes) tile_neg_1.gif (852 bytes) tile_neg_1.gif (852 bytes)          tile_neg_1.gif (852 bytes) tile_neg_1.gif (852 bytes) tile_neg_1.gif (852 bytes)     
-6 + -7 = -13
tile_neg_1.gif (852 bytes)         tile_pos_1.gif (852 bytes) tile_pos_1.gif (852 bytes) tile_pos_1.gif (852 bytes) -1 + 3 = 2    1 positive tile cancels the negative tile.
tile_neg_1.gif (852 bytes) tile_neg_1.gif (852 bytes)         tile_pos_1.gif (852 bytes) tile_pos_1.gif (852 bytes) tile_pos_1.gif (852 bytes) tile_pos_1.gif (852 bytes) -2 + 4 = 2    2 positive tiles cancel the 2 negative tiles.
tile_neg_1.gif (852 bytes) tile_neg_1.gif (852 bytes) tile_neg_1.gif (852 bytes)         tile_pos_1.gif (852 bytes) tile_pos_1.gif (852 bytes) tile_pos_1.gif (852 bytes) tile_pos_1.gif (852 bytes) tile_pos_1.gif (852 bytes) -3 + 5 = 2    3 positive tiles cancel the 3 negative tiles.
tile_neg_1.gif (852 bytes) tile_neg_1.gif (852 bytes) tile_neg_1.gif (852 bytes)         tile_pos_1.gif (852 bytes) -3 + 1 = -2    1 negative tile cancels the positive tile.
tile_neg_1.gif (852 bytes) tile_neg_1.gif (852 bytes) tile_neg_1.gif (852 bytes) tile_neg_1.gif (852 bytes)         tile_pos_1.gif (852 bytes) tile_pos_1.gif (852 bytes) -4 + 2 = -2    2 negative tiles cancel the 2 positive tiles.
tile_neg_1.gif (852 bytes) tile_neg_1.gif (852 bytes) tile_neg_1.gif (852 bytes) tile_neg_1.gif (852 bytes) tile_neg_1.gif (852 bytes)         tile_pos_1.gif (852 bytes) tile_pos_1.gif (852 bytes) tile_pos_1.gif (852 bytes) -5 + 3 = -2    3 negative tiles cancel the 3 positive tiles.

Adding with Algebra Tiles

FUNBRAIN - Number Line

Adding and Subtracting and Positive and Negative Numbers

Adding Integers Slide Rule

Integer Bars: Learning Fractions and more with On-line Manipulatives

Integer Calulator

Lesson on Addition of Integers

Integer Sum Calculator

This applet adds numbers up.  Input numbers into the text field, then click "enter". 

source:  An Addition Applet

 

 

Adding Integers

Range

-10 to 10

-100 to 100

Hold down Shift and click the Reload button on your browser to try again.

source:  Subtraction 2

 

Adding Integer Calculations

You can calculate integer sums on a scientific calculator.  Use this calculator to check the chart on the right and learn the patterns, then try it out for yourself. 

Press Reload/Refresh if the calculator does not show properly.

Product/ Quotient Calculator Imput Standard Name
8 + 4 8 wpe81.jpg (785 bytes) 4 equal.jpg (782 bytes) 12
-8 + 4 8 wpe71.jpg (803 bytes) wpe82.jpg (785 bytes) 4 equal.jpg (782 bytes) -4
8 + -4 8 wpe83.jpg (785 bytes) 4 wpe72.jpg (803 bytes) equal.jpg (782 bytes) 4
-8 + -4 8 wpe73.jpg (803 bytes) wpe84.jpg (785 bytes) 4 wpe74.jpg (803 bytes) equal.jpg (782 bytes) -12
4 + 8 4 wpe85.jpg (785 bytes) 8 equal.jpg (782 bytes) 12
-4 + 8 4 wpe75.jpg (803 bytes) wpe86.jpg (785 bytes) 8 equal.jpg (782 bytes) 4
4 + -8 4 wpe87.jpg (785 bytes) 8 wpe76.jpg (803 bytes) equal.jpg (782 bytes) -4
-4 + -8 4 wpe77.jpg (803 bytes) wpe88.jpg (785 bytes) 8 wpe78.jpg (803 bytes) equal.jpg (782 bytes) -12

 

 

Review:

A+ Math Flash Cards - Choose adding only

Lesson on Operations with Integers

 

Enrichment:

 

integer, positive, negative, signed number, magnitude, direction, addend, sum, difference, zero model, absolute value

Prerequisite Skills:

Introduction to Integers:  Grade 7:   Lesson 11.09

Introduction to Integers:  Grade 7 Lesson 11.09

Introduction to Integers:  Grade 7 Lesson 11.09

Introduction to Integers:  Grade 7 Lesson 11.09

Introduction to Integers:  Grade 7 Lesson 11.09

 

 

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