Slope and Intercept Grapher

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دربارهٔ این شبیه‌سازی

In y = mx + b the two numbers have two separate jobs: m decides how steeply the line tilts, and b decides where it crosses the y-axis. Changing one at a time makes that split visible, and the rise-over-run staircase turns the definition of slope into something you can count off the grid — one step across, m steps up, from wherever you start. Students can change slope and y-intercept 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.EE.B.6, CCSS.MATH.CONTENT.8.F.A.3

دانش‌آموزان چه چیزهایی را می‌توانند کاوش کنند

Change m alone and watch the line pivot about its y-intercept
Change b alone and watch the whole line slide without tilting
Make m negative and see the line fall instead of rise
Set m to zero and find out why a flat line has no x-intercept
Drag the two points instead, and read the equation the line writes back

اهداف یادگیری

1Predict how changing slope will affect the crosses x at, then test the prediction.
2Use evidence from the live calculation and visual to explain the result.

پرسش‌هایی که معلم‌ها می‌پرسند

Is the Slope and Intercept Grapher simulation free?

Yes. Open the Slope and Intercept 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.

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کاوش را ادامه دهید

Type any function and see its shape straight away. Plot up to three at once in three colours to compare them, drag the trace point to read a value off a curve, and see where each one crosses zero.

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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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پیش‌نمایش Two-Body, Three-Body & N-Body Gravity

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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پیش‌نمایش Riemann Sums and the Integral Simulation

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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پیش‌نمایش Fractions Visualizer Simulation

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

پس از کاوش دانش‌آموزان، از یک کاربرگ برای ثبت پیش‌بینی‌ها، مشاهدات و توضیح‌ها استفاده کنید.