Details for problem "Slope triangle to be drawn for a given line"

Quickname: 8003

Suitable for K-12 grades: Grade 6 Grade 7 Grade 8

Elementary School, Primary School, Junior High School, Middle School, High School.

Summary

In a coordinate system with a given straight line a slope triangle is to be drawn.

Example

Description

A straight line is given in a coordinate system. Add a slope triangle to this drawing. The task can be extended by the labeling of the gradient triangle, and also by the derivation of the slope. The straight line equation and the dimensions of the coordinate system are designed in such a way that a gradient triangle can be drawn without any particular difficulty. The intersection of the line and the Y-axis can be chosen to lie on only full or also half coordinate plane squares (vertical divisions). With respect to the coordinate system, it can be set whether only quadrant one is to be covered with positive X and Y coordinates, or also the quadrants containing coordinates with negative signs. The coordinate system can be plotted in three different sizes. The slope is chosen randomly, but can also be restricted to be positive or negative. As an additional task a labeling of the gradient triangle can be requested, either with - "dx"="run" and "dy"="rise" or - with the actual lengths of dx and dy can be requested. If values are required, the derivation of the gradient via the corresponding fraction can also be requested.

Topics: Analysis Functions Rational Numbers

Tags: Coordinate system Drawing Fraction

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