KSP Алгебра 7 grade: Формульный способ задания функции

Introduction

This short-term lesson plan for 7th grade algebra focuses on introducing the formula method of defining functions. It guides teachers on how to organize the lesson to help students understand functions through formulas.

Main material

The lesson’s goal is to familiarize students with the concept of functions using the formula method and teach them how to express functions this way. By the end, students should explain what a function is, calculate values from a formula like y = 2x + 3, and plot basic graphs. The lesson begins with an overview of function concepts, then introduces formula-based function representation through examples. Students practice calculating function values for various x and creating value tables. Teaching methods include visual aids, pair work for algorithm explanation, and class discussion. Tasks range from calculations to creative exercises, like forming formulas to describe plant growth. Through practice and discussion, students consolidate their understanding. Assessment is done unobtrusively via reflection and peer feedback at lesson’s end.

Frequently Asked Questions

— What is the formula method of defining a function?
A rule expressed by a formula to find function values from inputs.
— What does the variable x represent?
The independent variable or input value.
— What tasks help reinforce the topic?
Calculations, table building, simple formula analysis.
— Is use of technology necessary?
Recommended for clarity but not mandatory.
— How is final assessment conducted?
Through class discussion and reflection without formal tests.

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