Spin a spinner, flip a coin or roll a die and watch two sets of bars: the chances the shapes predict, and the results you actually got. Ten spins prove nothing; a few hundred and the two are hard to tell apart.
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Function Grapher
دربارهٔ این شبیه‌سازی
A function is a rule, and its graph is the picture of that rule: every point on the curve is one input paired with the output the rule gives it. Typing the algebra and seeing the shape appear links the two directly, and changing one number at a time shows which part of the shape that number controls. Students can change x² coefficient and x coefficient and compare what happens. Use it for math inquiry with Middle School and High School on a projector or student device.
استانداردها: Common Core CCSS.MATH.CONTENT.8.F.A.3, CCSS.MATH.CONTENT.HSF.IF.C.7
دانش‌آموزان چه چیزهایی را می‌توانند کاوش کنند
- Type x^2 and then x^2 - 3, and see that subtracting three slides the whole curve down
- Plot two functions at once and find where they meet
- Type 1/x and look at what happens as x approaches zero from each side
- Use the trace point to read a value off the curve, then check it by hand
- Find the x-values where a curve crosses zero, and connect them to solving the equation
اهداف یادگیری
- 1Predict how changing x² coefficient will affect the value at the trace point, then test the prediction.
- 2Use evidence from the live calculation and visual to explain the result.
پرسش‌هایی که معلم‌ها می‌پرسند
Is the Function Grapher simulation free?
Yes. Open the Function Grapher simulation in a modern browser with no download or sign-up required.
Is it suitable for Middle School and High School?
The simulation includes learning-level presets spanning Middle School and High School. Choose the level that matches your class, then use it on a projector or student devices.
این شبیه‌سازی را جاسازی کنید
آن را در LMS، وبلاگ یا وب‌سایت کلاس خود قرار دهید — رایگان.
<iframe src="https://kiwibee.io/fa/simulations/function-grapher-simulation/embed" title="Function Grapher | KiwiBee" loading="lazy" allowfullscreen style="width:100%;height:min(70vh,620px);min-height:420px;border:0;border-radius:16px"></iframe>کاوش را ادامه دهید
مدل‌های تعاملی علمی بیشتر
Move m and watch the line tilt; move b and watch it slide. Or drag the two points on the line and read the equation it writes back. A rise-over-run staircase climbs the line so slope becomes something you can count.
—
Compare a two-body orbit with three-body figure-eight motion, then add up to twelve bodies. Change initial masses, velocities and positions; watch orbit trails and numerical energy error.
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Approximate the area under a curve with strips and choose how each takes its height: left edge, right edge, middle, or a sloping top. Push the strip count up and watch the error fall, with the running total plotted as its own curve.
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Pick two fractions and see them as bars, pies or jumps on a number line. Compare them, find equivalent fractions such as 1/2 = 2/4 = 3/6, and add fractions with unlike denominators: the picture shows why both must be cut into pieces of the same size before they can be counted together.
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از مدل تا شواهد
این شبیه‌سازی را با یک کاربرگ چاپی همراه کنید
پس از کاوش دانش‌آموزان، از یک کاربرگ برای ثبت پیش‌بینی‌ها، مشاهدات و توضیح‌ها استفاده کنید.
علم تعاملی را به کلاس خود بیاورید
فضای کاری رایگان معلمان KiwiBee برنامه‌ریزی درس، کاربرگ‌ها، ابزارهای کلاسی و دفتر نمره را یک‌جا گرد هم می‌آورد.
رایگان شروع کنید و اولین کلاس خود را بسازید
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