Equation

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 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” 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. Numbers on the screen students can work with numbers and create unique equations.

Progression:

Section 1: Basics

Step 1. Start the simulation: you will be offered 4 different modes: “Basics”, “Numbers”, “Variables”, “Operations” and “Solve it”. You will work on this experiment in the “Basics”, “Numbers” sections. Open the “Basics” section.

Step 2. You are given: 

  • A board on which to display equation (1);
  • Scales for constructing the equation with things aligned (2);
  • Items to build the equation (3);
  • An eraser to remove the items on the scales (4);
  • Button to correctly position the items above the scales (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. Create multiple equations and fill the image panel.

Step 8. You can create and experiment with different equations by alternating the types of sets of items.

Section 2: Numbers

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

  • A board on which to display the equation (1);
  • Scales to construct the equation with the numbers aligned (2);
  • Numbers to build the equation (3);
  • An eraser to remove the numbers on the scales (4);
  • A button to correctly place the numbers above the scales (5);
  • You can set the same numbers on both scales by pressing the lock button (6);
  • You can save the created equations in the image panel by clicking the camera button (7);
  • Refresh and cart buttons (8);
  • Reset button (9).

Step 10. Make the first equation from the numbers. You can express the number 1 by adding and taking it several times.

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

Step 12. Make the following equation. Click the lock button and try to express both sides of the equation with the same numbers. If necessary, you can use the eraser and button to adjust the items above the Scales. 

Step 13. Create multiple equations and fill in the image panel.

Conclusion

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