Equation. Basics

Objective:

  • To become familiar with the concept of an equation;
  • To learn how to make and solve an equation

This virtual activity is designed for use in math lessons on the following topics:

  • Grade 1. “Equation”.
  • Grade 1. “Expressions. Equations”
  • Grade 2. “More complex form of equations and their solution”

Theoretical part

Equation is an equality with an unknown. To find the unknown is to solve the equation. The unknown is labeled with a letter. The goal of solving an equation: to find the unknown number when solving an equation. For example:

x+3=7

x=4

4 is the root of the equation.

You can find the root of the equation, or you can use knowledge about the relationship between addition and subtraction. The solution of the equation must be checked.

  • If you subtract one summand from the value of the sum, you get another summand. 
  • If you add a subtractor to the value of the difference, you get a diminutive. 
  • If you subtract the difference from the decreasing sum, you get the subtracted sum.

Virtual experiment

The simulation “Equation. Basics” allows students to explore the concept of equations, inequalities, and variables. On the “basics” screen, students can compose equations and create functional definitions of equality and inequality. On the lab screen, students can change the values of objects and create unique equations.

Progression:

Section 1: Basics

Step 1. Start the simulation: you will be given 2 different modes, “Basics” and “Lab”. Open the “Basics” section.

Step 2. You are given: 

  • A board on which equation is displayed (1);
  • Scales to plot the equation with things aligned (2);
  • An eraser to remove the items on the scales (3);
  • Button to correctly position the items above the scales (4);
  • Things to build the equation (5);
  • You can save the created equations in the image panel by clicking the camera button (6);
  • Refresh and cart buttons (7);
  • Types of item groups to build the equation (8);
  • Reload button (9).

Step 3. Perform a reciprocal comparison by placing items one on either side of the scales. 

Step 4. Construct the first equation.

Step 5. Click the camera button and save to the image panel.

Step 6. Make the next equation. If necessary, you can use the eraser and button to position the items on the scales correctly. 

Step 7. Click the camera button and save to the image panel.

Step 8. Create multiple equations and fill in the image panel.

Section 2: Lab

Step 9. Open the “Lab” section. You are given: 

  • A board on which to display the equation (1);
  • A scale to plot the equation with things aligned (2);
  • An eraser to remove the items on the scales (3);
  • Button to correctly position the items above the scales (4);
  • Things to build the equation (5);
  • A board to change the value of things (6);
  • You can save the created equations in the image panel by clicking the camera button (7);
  • Buttons to refresh, cart and display the value of items (8);
  • Reload button (9).

Step 10. Make the equation by looking at the values of each item on the board and balancing things on the scales.

Step 11. Click the camera button and save to the image panel.

Step 12. Change the values of the things. 

Step 13. Align things on the scales and make an equation. 

Step 14. Click the camera button and save to the image panel.

Step 15. By changing the values of the items, create multiple equations and populate the image panel.

Conclusion

The virtual simulation “Equation. Basics” allowed students to gain a deeper understanding of the topic of equations. The objects had different values and balanced them on scales, students were comfortable with visual perception and learned how to make different equations.