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| title | published | routable | visible |
|---|---|---|---|
| Brainstorming on the mathematical tools required at each level | true | true | false |
Define the mathematical tools required at level 1
with a first classification to sort out the brainstorming (counting, geometry, etc.). It does not presage chapter titles.
Feel free to create a new classification if necessary.
! Numeration and operations !
(CME-FR) Good mastery, with exercises to develop automatisms:
- Digits and numbers (base 10)
- Whole numbers, positive and negative
- Real numbers
- The four operations: $
+, -, ×, ÷$
and therefore the sign $=$ - Power of 10 $
(10^p)$, power of any integer n $(n^p)$ - $
n^p \times n^q = n^{\,p + q}$
RESPOND: (XXX-YY) ...
(CME-FR) Good mastery, with exercises to develop automatisms:
- The fractions (related to the Pythagorean theorem in the right-angled triangle, and the cross-multiplication's rule)
RESPOND: (XXX-YY) ...
(CME-FR) Good mastery, with exercises to develop automatisms:
- Comparison of numbers: $
\ lt, \ gt, \ le, \ ge$
RESPOND: ... (XXX-YY)
(CME-FR) Simply discovered, or more if it is useful to explain the number system, and better understand base 10? It can be very fun with animated figures
- The numerical bases (in connection with the sets)
Idea: this can be very useful in physics, to introduce ideas very early on counting and large numbers.
RESPOND: ... (XXX-YY)
(XXX-YY) ...
RESPOND: ... (XXX-YY)
! Sets !
(CME-FR) Whatever our level, all our life we characterize, classify in categories and sets. A first approach seems essential to me from this level 1 (with the idea of learning not to be binary and to relativize). And it can be very visual and very fun, with thousands of possible examples in everyday life.
_It seems useful to understand: _ - base 10 numbering (and the others). - what is an equation (and therefore later a correlation or a physical law of cause and effect).
RESPOND: ... (XXX-YY)
(CME-FR)
- Elements, characterize elements
- Indistinguishable or distinct elements
- Sets and subsets.
- Union $
\cup$ and intersection $\cap$
RESPOND: ... (XXX-YY)
(XXX-YY) ...
RESPOND: ... (XXX-YY)
! Geometry !
(CME-FR) Good mastery, with exercises to develop automatisms:
- Pytahgore's theorem / the cross-multiplication's rule (in relation to fractions and the right-angled triangle)
RESPOND: ... (XXX-YY)
! The equations !
(CME-FR)
- equality $
=$ - write an equality, maybe true or false.
- equation in mathematics.
- equation in physics (members of the same nature, in the same units)
(XXX-YY) ...
RESPOND: ... (XXX-YY)