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Angle Maker

Turn a ray around an on-screen protractor to make and measure angles, name them acute, right, obtuse or reflex, then estimate angles in a game.

FreeGrades 4–7MathStudent-facingTeacher tool
Try:

    How to use it

    Drag the round handle, or click anywhere on the protractor, to turn the ray. The angle is measured counterclockwise from the fixed ray pointing right. With the keyboard, tab to the handle and use the arrow keys (hold Shift for 10° steps, Home for 0° and End for 360°). The angle's type and its partner angles update as you turn.

    In the Estimation game the protractor is hidden and the angle is turned to a random position. Type your best guess. The closer you are, the more points you get: within 2° scores 10, within 5° scores 8, within 10° scores 5 and within 20° scores 2. A game is ten angles.

    The math: an angle is an amount of turn

    An angle measures how far one ray has turned from another around a shared point, the vertex. A full turn is 360°, a half turn is a straight angle of 180° and a quarter turn is a right angle of 90°. The length of the rays does not matter, only the turn.

    • Acute: more than 0° and less than 90°.
    • Right: exactly 90°, marked with a small square.
    • Obtuse: more than 90° and less than 180°.
    • Straight: exactly 180°.
    • Reflex: more than 180° and less than 360°.

    Two angles that add to 90° are complementary; two that add to 180° are supplementary. Good estimators use benchmarks: is it more or less than a right angle? More or less than halfway to the next benchmark? Ask students to explain which benchmark they started from.

    Free to use, no account needed. It runs in your browser: nothing you type, and no sound from your microphone, is sent to Fieldbook.

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