Manipulating Formulae Demonstration This resource provides animated demonstrations
- Slides: 33
Manipulating Formulae – Demonstration This resource provides animated demonstrations of the mathematical method. Check animations and delete slides not needed for your class.
Which of these equations are correct? How has each side of the starting equation been changed? × 2 − 4 ÷ 2
Which of these formulae are correct? How has the starting formula been changed each time? × 3
How has the starting equation been changed each time? − 4 × 2 ÷ 2
The diagrams show water containers & weights on balance scales. Can you explain how they are all balanced? 3 kg 8 kg 16 kg 4 kg
We can add, divide & multiply (& subtract) from both sides of an equation to keep it balanced. 3 kg 8 kg 16 kg 4 kg
If we perform the same operation to both sides of an equation, it will remain true. ÷ 5 + 2 − 6
If we perform the same operation to both sides of an equation, it will remain true. ÷ 3 + 4 − 3
If we perform the same operation to both sides of an equation, it will remain true. ÷ 2 + 6 − 4
It is a very useful skill to be able to manipulate equations & formulae. 7 cm Area = 15 cm 2 18 cm 5 cm Solving equations (finding the unknown value). Rearranging formula before inputting values.
What operation (+, −, ×, ÷) has been performed to both sides of this formula?
What operation (+, −, ×, ÷) has been performed to both sides of this formula? − 4
What operation (+, −, ×, ÷) has been performed to both sides of this formula? × 2
What operation (+, −, ×, ÷) has been performed to both sides of this formula?
What operation (+, −, ×, ÷) has been performed to both sides of this formula? ÷ 3
For each rearrangement, what operation (+, −, ×, ÷) has been performed to both sides? − 6 + 10 ÷ 4 × 3
When solving equations & rearranging formula we want a single variable, by itself, on one side of the equals sign. − 6
When solving equations & rearranging formula we want a single variable, by itself, on one side of the equals sign.
When solving equations & rearranging formula we want a single variable, by itself, on one side of the equals sign. ÷ 3
When solving equations & rearranging formula we want a single variable, by itself, on one side of the equals sign. × 4
When solving equations & rearranging formula we want a single variable, by itself, on one side of the equals sign.
If we multiply or divide an expression (one side of the formula), we must multiply and divide all the terms. × 3 ÷ 3 OR × 4
If we multiply or divide an expression (one side of the formula), we must multiply and divide all the terms. × 6
When solving equations & rearranging formula we want a single variable, by itself, on one side of the equals sign. × 2 − 5
When solving equations & rearranging formula we want a single variable, by itself, on one side of the equals sign. + 2 + 4 × 3
When solving equations & rearranging formula we want a single variable, by itself, on one side of the equals sign. − 8 ÷ 2
When solving equations & rearranging formula we want a single variable, by itself, on one side of the equals sign.
When solving equations & rearranging formula we want a single variable, by itself, on one side of the equals sign. ÷ 3 OR ÷ 3
When solving equations & rearranging formula we want a single variable, by itself, on one side of the equals sign. − 9 ÷ 4 OR ÷ 4
True or False? Is it possible to rearrange the 1 st formula to make the 2 nd formula?
Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths. co. uk