Learn mathematics more deeply using Explore feature

Students find answers in different ways.
For example, students can use either Graph, Equation, or Matrix function to solve the simultaneous equations below.

Example

1. Using Graph

• Icon display

• 

• Input Equations

• 

• Draw Graphs

• 

• Intersection coordinates

2. Using Equation calculations

• Icon display

• 

• Select equation

• 

• Input coefficient

• 

• Solution

3. Using Matrix calculations

• Icon display

• 

• Input matrix A

• 

• Input matrix B

• 

• Matrix calculation

Learn 3D Graphs more deeply using Explore feature

It’s difficult to understand 3D graphs used in textbooks.
The 3D Graph feature of the fx-CG50 makes it easy to draw and explore 3D graphs. This feature promotes mathematical understanding of 3D graphs and helps in learning solid figures.

1. Draw and display 3D Graph

3D graphs can be drawn in various ways.

1) Using templates

It’s easy to draw 3D graphs using templates. (*An industry-first feature)

4) Rotating body graphs (① around X-Axis, ② around Y-Axis) *An industry-first feature

Rotating body graphs can be drawn in two ways (rotating around X-Axis or Y-Axis).

2. Draw and display up to three 3D graphs

Recognize combinations of 3D graphs and interactive relationships between two or three graphs mathematically.

• Three expressions available

• Cylinder and lane expressions

• Three expressions available

3. Investigate the relationship between expressions and 3D graphs

• Expression

• 

• 3D Graph

Select EXPRESS, VECTOR, or POINTS format when inputting expressions of 3D graphs.

• EXPRESS format

• VECTOR format

• POINTS format

4. Explore 3D graphs mathematically

These functions are effective in exploring 3D Graphs geometrically.

1) Viewing from various directions

①Zoom in and zoom out ②Rotation vertically and horizontally ③Cross section ④X-axis, Y-axis, Z-axis view.
These functions are effective in exploring 3D graphs geometrically.

2) Tracing of graphs *An industry-first feature

3) Intersection between graphs *An industry-first feature

4) Relation between graphs *An industry-first feature

3D Graph Samples

Example 1

Examine intersections between lines, planes and spheres.

Effective learning with 3D Graph

1. Draw and display 3D Graph

Students get the possibility to visualize the most important intersections between lines, planes and spheres: The intersection point, line or circle. This can be very helpful for them to develop solution strategies.

Additionally different input methods are used in all these examples.

Definition by vector, definition by equation.

Definition by vector, definition by equation.

Students can view graphs from various angles, and explore the intersection between 2 objects visually by themselves.

Example 2

Examine the relationship between lines and planes and their intersections.

Teachers and pupils can study the relationship between lines and planes and can examine their intersections.
Intersection : Intersection point, intersection line or Not Found, etc.
Relation : Intersection, Parallel, Orthogonal, or Skewed lines etc.