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<loc>https://mathmotionai.com/examples/area-of-a-circle</loc>
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<video:title>Why is the area of a circle πr²?</video:title>
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<video:description>Why the area of a circle is πr²: cut the circle into slices, rearrange them into a near-rectangle of height r and width πr, and multiply.</video:description>
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<loc>https://mathmotionai.com/examples/add-fractions-with-different-denominators</loc>
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<video:title>How do I add 1/2 + 1/3?</video:title>
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<video:description>How to add fractions with different denominators: 1/2 + 1/3 shown with fraction bars, rewritten in sixths as 3/6 + 2/6 = 5/6.</video:description>
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<loc>https://mathmotionai.com/examples/solve-quadratic-equation-by-factoring</loc>
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<video:title>How do I solve x² − 5x + 6 = 0?</video:title>
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<video:description>How to solve x² − 5x + 6 = 0 by factoring into (x − 2)(x − 3) = 0, giving x = 2 or x = 3, and where those roots sit on the parabola.</video:description>
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<loc>https://mathmotionai.com/examples/pythagorean-theorem</loc>
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<video:title>What is the Pythagorean theorem?</video:title>
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<video:description>What the Pythagorean theorem a² + b² = c² means, shown with squares built on the three sides of a right triangle.</video:description>
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<loc>https://mathmotionai.com/examples/find-slope-between-two-points</loc>
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<video:title>What is the slope of the line through (1, 2) and (4, 8)?</video:title>
<video:thumbnail_loc>https://mathmotionai.com/samples/slope.jpg</video:thumbnail_loc>
<video:description>How to find the slope of the line through (1, 2) and (4, 8): draw the rise and run as a right triangle, then slope = rise ÷ run = 6 ÷ 3 = 2.</video:description>
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<video:duration>14</video:duration>
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<loc>https://mathmotionai.com/examples/solve-system-of-equations-by-graphing</loc>
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<video:title>How do I solve the system y = 2x + 1 and y = −x + 4?</video:title>
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<video:description>How to solve the system y = 2x + 1 and y = −x + 4: graph both lines, set them equal to get x = 1, and find the intersection point (1, 3).</video:description>
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<loc>https://mathmotionai.com/examples/solve-two-step-linear-equation</loc>
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<video:title>Solve 2x + 3 = 11 step by step.</video:title>
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<video:description>How to solve the two-step equation 2x + 3 = 11: subtract 3 from both sides to get 2x = 8, then divide by 2 to get x = 4.</video:description>
<video:content_loc>https://mathmotionai.com/samples/linear-equation.mp4</video:content_loc>
<video:duration>20</video:duration>
<video:publication_date>2026-10-01</video:publication_date>
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<loc>https://mathmotionai.com/examples/sine-cosine-tangent-sohcahtoa</loc>
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<video:title>What are sine, cosine and tangent in a right triangle?</video:title>
<video:thumbnail_loc>https://mathmotionai.com/samples/trig-ratios.jpg</video:thumbnail_loc>
<video:description>What sine, cosine and tangent mean in a right triangle: opposite, adjacent and hypotenuse, the three ratios, and the SOH CAH TOA memory trick.</video:description>
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<loc>https://mathmotionai.com/examples/unit-circle-and-sine-wave</loc>
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<video:title>How does the unit circle make the sine wave?</video:title>
<video:thumbnail_loc>https://mathmotionai.com/samples/unit-circle-sine.jpg</video:thumbnail_loc>
<video:description>How the unit circle makes the sine wave: a point's height on the circle is sin θ, and tracing that height against the angle draws the wave through π and 2π.</video:description>
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<loc>https://mathmotionai.com/examples/integral-of-2x-from-0-to-5</loc>
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<video:title>What is the integral of 2x from 0 to 5?</video:title>
<video:thumbnail_loc>https://mathmotionai.com/samples/definite-integral.jpg</video:thumbnail_loc>
<video:description>The definite integral of 2x from 0 to 5 as the area under the line y = 2x: the antiderivative x² gives 5² − 0² = 25, the area of a triangle with base 5 and height 10.</video:description>
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<loc>https://mathmotionai.com/examples/probability-of-rolling-a-7-with-two-dice</loc>
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<video:title>What is the probability of rolling a sum of 7 with two dice?</video:title>
<video:thumbnail_loc>https://mathmotionai.com/samples/dice-sum-seven.jpg</video:thumbnail_loc>
<video:description>The probability of rolling a sum of 7 with two dice: 6 of the 36 equally likely outcomes add up to 7, so the probability is 6/36 = 1/6.</video:description>
<video:content_loc>https://mathmotionai.com/samples/dice-sum-seven.mp4</video:content_loc>
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<loc>https://mathmotionai.com/examples/find-mean-and-median</loc>
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<video:title>How do I find the mean and median of 3, 7, 7, 2, 9?</video:title>
<video:thumbnail_loc>https://mathmotionai.com/samples/mean-median.jpg</video:thumbnail_loc>
<video:description>How to find the mean and median of 3, 7, 7, 2, 9: sort the numbers to find the middle value (median 7), then add them and divide by 5 (mean 28 ÷ 5 = 5.6).</video:description>
<video:content_loc>https://mathmotionai.com/samples/mean-median.mp4</video:content_loc>
<video:duration>20</video:duration>
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<loc>https://mathmotionai.com/examples/find-the-hypotenuse-3-4-5-triangle</loc>
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<video:title>How do I find the hypotenuse of a right triangle with legs 3 and 4?</video:title>
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<video:description>How to find the hypotenuse of a right triangle with legs 3 and 4 using the Pythagorean theorem: 3² + 4² = 9 + 16 = 25, so c = √25 = 5.</video:description>
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<loc>https://mathmotionai.com/examples/circumference-of-a-circle</loc>
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<video:title>How do I find the circumference of a circle?</video:title>
<video:thumbnail_loc>https://mathmotionai.com/samples/circumference.jpg</video:thumbnail_loc>
<video:description>How to find the circumference of a circle: the distance around it is π times the diameter, so C = πd = 2πr, shown by unrolling the circle into a line.</video:description>
<video:content_loc>https://mathmotionai.com/samples/circumference.mp4</video:content_loc>
<video:duration>20</video:duration>
<video:publication_date>2026-10-02</video:publication_date>
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<loc>https://mathmotionai.com/terms</loc>
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