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==Concept #3 The Number Line :Level 1-2 ==
==Concept #3 The Number Line :Level 1-2 ==
The number line is not just a school object. It is as much a mathematical idea as functions.
The number line is not just a school object. It is as much a mathematical idea as functions.
The number line is a geometric “model” of all numbers -- including 0 1, 2, 25, 374 trillion, and -5, Unlike counters, which model only counters, the number line models measurement, which is why it must start with zero. (When we count, the first object we touch is called "one." When we measur using a ruler, we line one end of the object we’re measuring against the zero mark on the ruler. <br>
The number line is a geometric “model” of all numbers -- including 0 1, 2, 25, 374 trillion, and -5, Unlike counters, which model only counters, the number line models measurement, which is why it must start with zero. (When we count, the first object we touch is called "one." When we measur using a ruler, we line one end of the object we’re measuring against the zero mark on the ruler.
[[File:Number system -Resource material_html_1de463c.jpg|400px]]<br>
<br>[[File:Number system -Resource material_html_1de463c.jpg|400px]]<br>
Part of the power of addition and subtraction is that these operations work with both counting and measuring. Therefore, to understand basic operations like addition and subtraction, we need a number line model as well as counters.
===Objectives===
===Objectives===
#Numbers can be represented on a continuum called a number line
#Numbers can be represented on a continuum called a number line
===Activities===
===Activities===
#Activity 1 - [[Hopping_on_number_line|To introduce Number line]]<br>
#Activity 1 - [[Hopping_on_number_line|To introduce Number line]]
#Activity 2 - [[Operations_on_number_lines_1|Sum of numbers]]
#Activity 2 - [[Operations_on_number_lines_1|Sum of numbers]]
#Activity 3 - [[Building_the_number_line|Classroom number line]]
#Activity 3 - [[Building_the_number_line|Classroom number line]]