diff --git a/00.brainstorming-pedagogical-teams/45.synthesis-structuring/10.math-tools/10.n1/12.en/textbook.fr.md b/00.brainstorming-pedagogical-teams/45.synthesis-structuring/10.math-tools/10.n1/12.en/textbook.fr.md index 727f14d02..9fe9a8845 100644 --- a/00.brainstorming-pedagogical-teams/45.synthesis-structuring/10.math-tools/10.n1/12.en/textbook.fr.md +++ b/00.brainstorming-pedagogical-teams/45.synthesis-structuring/10.math-tools/10.n1/12.en/textbook.fr.md @@ -10,4 +10,126 @@ lessons: #### Brainstorming on the mathematical tools required at level 1 --------------------------------- \ No newline at end of file +-------------------------------- + +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 triangle, and the rule of three 3) + +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 / rule of three* (in relation to fractions and the right 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) + +------------------ \ No newline at end of file