#Free online geometer's sketchpad how to#

Since you already know that dilation corresponds to multiplication, and translation to addition, what kind of algebraic function is created by the composition `T(D(x))?` Source: This activity comes from the lesson Construct a Dynagraph.

Write a formula for the value of `T(D(x))` in terms of `x, s,` and `v.` Check your formula by varying `x` and adjusting `s` and `v.`.

Use pages 2 and 3 to construct more functions, and to show how different values of `s` and `v` affect the shape of the traces.

How can you tell from the traces whether `T(D(x))` is moving in the same direction or the opposite direction as `x?` Draw pictures to support your explanation.

Try different values of `s` and `v.` How can you tell from the traces whether `T(D(x))` is moving faster or slower than `x?` Draw pictures of your traces to explain your answer.

When you vary `x,` what do you notice about the traces of the connecting line?.

Connect `x` on the top number line to `T(D(x))` on the bottom line, and use the Trace Widget to turn tracing on for the connecting line.

As you vary `x`, how is the value of `T(D(x))` related to `D(x)` and `v?` Write both a description and a formula.

Translate the new `D(x)` on its number line.

Then use the Visibility Widget to hide the dashed lines.

Vary `x` to make sure the two `D(x)` variables always match.

Transfer both the origin and `D(x)` downward, and construct a new number line matching its origin to the transferred origin.

As you vary `x`, how is the value of `D(x)` related to `x` and `s?` Write both a description and a formula.

Construct `D(x)` with `x` restricted to a number line.As you work, practice the different ways of placing the given objects of the tools. Use the tools in the sketch below to construct a triangle and its orthocenter.

#Free online geometer's sketchpad how to#

After checking out the tool’s effect, tap the Undo arrow to undo.īecause all tools work this same way, it’s easy for you and your students to figure out how to use them with no need for additional documentation, explanation, or demonstration. To preview the results of any tool, choose it and then tap the green OK button.Until the tool is finished, you can drag any already-matched given object to reposition or rematch it.drag any given object, whether it’s glowing or not. Tap to position or match the glowing object, or.Everything the tool will produce is immediately visible, with the first object to be matched already glowing.