Slides are the simplest transformation-just moving something from one place to another. In higher grades, it is usually called a translation. In primary grades, moving a shape without turning or flipping it is usually called as slide. To learn more about rotations in middle grades, check out Math is Fun: Paying attention to the fixed point as well as the angle of rotation means that depending on the fixed point, the rotated image might be in a different place, even if it was turned through the same angle Also, in middle grades, we introduce the idea of positive and negative angle measures, so the turn is identified with a positive or negative angle, rather than the words "clockwise" and "counterclockwise". In middle grades, we are more specific about our rotations, so a rotation has a number of degrees that the shape is rotated through, and there's a "center" or a "fixed point" that the object is rotated around. Primary grades children are often asked to identify from a pair of figures whether the transformation was a turn or not, and are sometimes asked to show what a figure would look like after it has been turned.
In primary grades, we usually describe a turn by how much it has turned, and we describe those turns as a fraction of a whole turn-so you might see a shape that has been turned by 1/2 turn, or by 1/4 turn either clockwise or counterclockwise.
The usual primary-grades vocabulary is a "turn" and the usual middle-grades vocabulary is "rotation". If you'd like to learn more about reflections in grades 5-9, check out the Math is Fun web sites:Ī turn or a rotation describes the motion of turning a shape as if it were drawn on a piece of paper, and you turned the whole piece of paper. To find a reflected image by measuring, you need to draw lines that are perpendicular to the reflection line, and measure the distances so that the distance from the original triangle to the line is the same as the distance from the reflected triangle to the line. In grades 5-9, these are usually called reflections, and students learn properties that help them draw reflections by measuring. In upper elementary/middle school, children see flips again. We say that images with a vertical mirror line have "vertical line symmetry", but when we reflect across a vertical line, we usually say we are flipping or reflecting it to the right (or left), and if the line is horizontal we usually say that we are flipping the shape up (or down).Ĭhildren in primary grades are often asked to identify a transformation as a flip, or are asked to draw a flip. Often, when children are asked to draw a flip a horizontal or vertical reflection line is shown The vocabulary we use in flipping a shape is a bit different from the what we use when describing reflections. When we flip or reflect a shape, we usually describe it as being flipped or reflected across a line-the mirror line. If you draw a shape on tracing paper, and then turn (flip) the paper over, you can see that the shape is still drawn on the opposite side of the paper, and the image you can see has been flipped: This is easiest to see with tracing paper. The word flip comes from the idea of making the movement using a shape drawn on a piece of paper. You can see the result of a flip or a reflection in a shape that has line symmetry, so line symmetry is related to the movement that is a reflection or a flip. Flips (Reflections):Ī flip is also called a reflection. Transformations describe how a movement is made from one place to another. In kindergarten and pre-K, children learn to describe relative position using words like: above, below and between. Flips, turns and slides are position changes you make to a shape-they describe motions and/or the result of a motion. Transformations are changes that are made to a shape. Flips Turns and Slides Lesson 7.6: Transformations: Flips, Turns and Slides
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