## Rational expressions

Objective: This virtual activity is designed to be used in math lessons in the next chapter: Theoretical part Definition and representation Examples: Operations on positive and negative numbers Addition: For example, -12+(-3)=-15; -7+9=2. Subtraction: For example, 18-(-23)=41. Virtual Experiment In this virtual experiment, students learn how to reduce an expression. Create complex expressions that may involve subtraction and negative variable values. Creates expressions that match the tasks in the Games section. Plays with variables in Levels 5-8. Levels 7-8 include division problems. Workflow: Step 1. Launch the simulation. There are 4 different modes. “Basics”, “Explore”, “Negatives” and “Game”. You will work in the “Negatives” and “Game” sections. Open the “Negatives” section. Step 2. In the workspace you are provided with: Step 3. Create the expression x2 – 2×2 + 3y in the workspace. If you place the second -x2 on top of the -x2 variable, you will see a yellow circle and the variables will be joined together to get – 2×2. Assemble each element in this way. Step 4. If you keep the elements in the same row, the part of the screen where the pattern is will be light, making a sum. You can see the sum on the board where the value of the expression is displayed. Step 5. Change the x and y values in the Variables panel. Try to calculate the expression yourself and compare it with the value of the expression shown on the board. Step 6. To display the values and coefficients of the variables, run the simplify operation button (-) and calculate the expression. Step 7. Build the next expression. Create several expressions using variables. Step 8. Open the “Game” section. You are given 8 levels. In this lesson, you will work on levels 5-8. Step 9. Open Level 5. In the work area, you are given: Step 10. Build the templates by looking at the expression bar provided for assembly and drag them into the empty space below the expression. Step 11. Once you have completed all the expressions on the board, you can move to the next level by clicking the “Next” button. Conclusion Students, working on the simulator, performed calculations on the topic of summing expressions by similar terms, addition, subtraction of rational numbers.

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