{"product_id":"the-e-function-and-exponential-growth-processes-teaching-resources","title":"The e-function and exponential growth processes","description":"\u003cp\u003eThe e-function and exponential growth processes is a ready-to-use Math teaching resource for Grades 10–12. This series introduces Euler's number e and the natural exponential function e^x step by step. Starting from a vivid approach via continuous compound interest, the properties of the e-function, its special derivative (e^x)' = e^x and the chain rule are developed.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eGuiding question:\u003c\/strong\u003e How do we describe and calculate exponential growth and decay with the e-function?\u003c\/p\u003e\u003ch3\u003eWhat's included\u003c\/h3\u003e\u003cul\u003e\n\u003cli\u003e5 differentiated worksheets with required and optional tasks\u003c\/li\u003e\n\u003cli\u003eFull answer keys with expected solutions\u003c\/li\u003e\n\u003cli\u003eA 7-slide colour presentation\u003c\/li\u003e\n\u003cli\u003eA detailed, step-by-step lesson plan\u003c\/li\u003e\n\u003cli\u003ePrint \u0026amp; digital — editable and ready to use, no prep required\u003c\/li\u003e\n\u003c\/ul\u003e\u003ch3\u003eLearning objectives\u003c\/h3\u003e\u003cul\u003e\n\u003cli\u003eDescribe Euler's number e and the natural exponential function e^x with its properties.\u003c\/li\u003e\n\u003cli\u003eApply the laws of powers to e-functions and use the special derivative (e^x)' = e^x and the chain rule.\u003c\/li\u003e\n\u003cli\u003eSet up exponential models N(t) = N0 · e^(k·t) for real situations and determine the parameters from data.\u003c\/li\u003e\n\u003cli\u003eCompute half-life and doubling time and investigate exponential processes quantitatively.\u003c\/li\u003e\n\u003cli\u003eInterpret results in context and evaluate the scope and limits of exponential models.\u003c\/li\u003e\n\u003c\/ul\u003e\u003ch3\u003eTopics covered (5 worksheets)\u003c\/h3\u003e\u003cul\u003e\n\u003cli\u003eGetting to know e and the natural exponential function\u003c\/li\u003e\n\u003cli\u003eCalculating and differentiating with e-functions\u003c\/li\u003e\n\u003cli\u003eSetting up growth and decay models\u003c\/li\u003e\n\u003cli\u003eAnalysing and interpreting models\u003c\/li\u003e\n\u003cli\u003eWord problems: half-life, doubling time and applications\u003c\/li\u003e\n\u003c\/ul\u003e\u003ch3\u003eHow to use it\u003c\/h3\u003e\u003cp\u003eTeach the full series in sequence or pull single worksheets as stand-alone lessons. Differentiation is built in through required and optional tasks, so you can meet a range of levels in the same class. The included lesson plan and complete answer keys make the resource ready to teach with no additional preparation.\u003c\/p\u003e\u003ch3\u003eFrequently asked questions\u003c\/h3\u003e\u003cp\u003e\u003cstrong\u003eWhat grade level is The e-function and exponential growth processes for?\u003c\/strong\u003e\u003cbr\u003eIt is designed for Grades 10–12 (Math), and the differentiated tasks let you adapt it up or down a level.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eWhat file formats are included?\u003c\/strong\u003e\u003cbr\u003eYou receive editable Microsoft Word worksheets and answer keys, an editable PowerPoint presentation, and a Word lesson plan — all print-ready and suitable for digital classrooms.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eIs it ready to use without preparation?\u003c\/strong\u003e\u003cbr\u003eYes. Everything is classroom-ready: print the worksheets or share them digitally, present the slides, and use the answer keys and lesson plan as-is.\u003c\/p\u003e\u003cp\u003e\u003cem\u003eCreated with support from ChatGPT (OpenAI) and Claude (Anthropic).\u003c\/em\u003e\u003c\/p\u003e\u003cscript type=\"application\/ld+json\"\u003e{\"@context\": \"https:\/\/schema.org\", \"@type\": \"FAQPage\", \"mainEntity\": [{\"@type\": \"Question\", \"name\": \"What grade level is The e-function and exponential growth processes for?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"It is designed for Grades 10–12 (Math), and the differentiated tasks let you adapt it up or down a level.\"}}, {\"@type\": \"Question\", \"name\": \"What file formats are included?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"You receive editable Microsoft Word worksheets and answer keys, an editable PowerPoint presentation, and a Word lesson plan — all print-ready and suitable for digital classrooms.\"}}, {\"@type\": \"Question\", \"name\": \"Is it ready to use without preparation?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"Yes. Everything is classroom-ready: print the worksheets or share them digitally, present the slides, and use the answer keys and lesson plan as-is.\"}}]}\u003c\/script\u003e","brand":"Teach Lessons","offers":[{"title":"Default Title","offer_id":57940442284376,"sku":null,"price":24.99,"currency_code":"USD","in_stock":true}],"url":"https:\/\/teachlessons.us\/products\/the-e-function-and-exponential-growth-processes-teaching-resources","provider":"Teach Lessons","version":"1.0","type":"link"}