Common Core Mathematics, Secondary II 07-08-0000-100
In the second year of the Common Core Math series, students will build upon knowledge of foundational math skills to learn to solve increasingly complex problems. This course begins with the introduction of exponents and covers key concepts such as polygon perimeter and area calculations, geometric theorems and postulates, techniques for solving quadratic equations and an introduction to basic trigonometry.
d apply similarity in right triangles to understand right triangle trigonometry, with particular attention to special right triangles and the Pythagorean theorem. Students will develop facility with geometric proof. They use what they know about congruence and similarity to prove theorems involving lines, angles, triangles, and other polygons. They explore a variety of formats for writing proofs. Students will prove basic theorems about circles, such as a tangent line is perpendicular to a radius, inscribed angle theorem, and theorems about chords, secants, and tangents dealing with segment lengths and angle measures. They will study relationships among segments on chords, secants, and tangents as an application of similarity. In the Cartesian coordinate system, students will use the distance formula to write the equation of a circle when given the radius and the coordinates of its center, and the equation of a parabola with vertical axis when given an equation of its directrix and the coordinates of its focus. Given an equation of a circle, they will draw the graph in the coordinate plane, and apply techniques for solving quadratic equations to determine intersections between lines and circles or a parabola and between two circles. Students will develop informal arguments justifying common formulas for circumference, area, and volume of geometric objects, especially those related to circles.
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Common Core Mathematics, Secondary II (CMC II) - Mwaka wa pili wa Common Core Math, wanafunzi watajenga juu ya ujuzi wa msingi wa hisabati kujifunza kutatua matatizo zaidi na zaidi tata. Kozi hii huanza na kuanzishwa kwa exponents na inashughulikia dhana muhimu kama vile polygon perimeter na eneo mahesabu, theorems kijiometri na postulates, mbinu kwa ajili ya kutatua equations quadratic na utangulizi wa trigonometry msingi. Kwa mfano, kwa mfano, katika trigonometry ya pembetatu ya haki, kuna uwezekano wa kuonekana kwa njia ya pythagorean. Wanafunzi watatengeneza vifaa kwa uthibitisho wa kijiometri. Wao hutumia yale wanayojua kuhusu upatano na kufanana ili kuthibitisha nadharia zinazohusisha mistari, pembe, pembetatu, na pembetatu nyingine. Wao kuchunguza aina mbalimbali ya muundo kwa ajili ya kuandika uthibitisho. Theorems kuhusu mviringo, kama vile tangent line is perpendicular to a radius, inscribed angle theorem, na theorems kuhusu chords, secants, and tangents dealing with segment lengths and angle measures. Wao kujifunza mahusiano kati ya sehemu juu ya chords, secants, na tangents kama matumizi ya kufanana. Katika mfumo wa kuratibu wa Cartesian, wanafunzi watatumia formula ya umbali kuandika equation ya mduara wakati radius na kuratibu za kituo chake zinapewa, na equation ya parabola na mhimili wa wima wakati equation ya directrix yake na kuratibu za lengo lake zinapewa. Kwa mfano, kwa mfano, unaweza kuchora mviringo katika ndege ya kuratibu na kutumia mbinu za kutatua equations za mraba ili kuamua makutano kati ya mstari na mviringo au parabola na kati ya mviringo. Wanafunzi watatengeneza hoja zisizo rasmi zinazounga mkono formula za kawaida za mduara, eneo, na kiasi cha vitu vya kijiometri, hasa zile zinazohusiana na duru. 30 siku ya muda wa kupumzika - Click hapa