Use a balanced equation to calculate unknown parts
You can use a balanced equation to calculate unknown parts.
- Year 6
Use a balanced equation to calculate unknown parts
You can use a balanced equation to calculate unknown parts.
Lesson details
Key learning points
- I've added __ to this part so I need to subtract __ from the other part to keep the sum the same.
- I've subtracted __ from this part so I need to add __ to this part to keep the sum the same.
- A balance beam can represent equivalent expressions.
Keywords
Equation - An equation is used to show that one number, calculation or expression is equal to another.
Expression - An expression contains one or more values, where each value is separated by an operator. Two or more expressions with the same value can be separated by an equals sign to create an equation.
Whole - The whole is all the parts or everything, the total amount.
Part - A part is some of the whole.
Common misconception
Often, pupils understand the equals symbol to be a big reveal or a 'ta-da!' rather than a symbol denoting equivalence. This can make the idea of a balanced equation tricky.
Explore pupils' understanding of the equal sign at the start of the lesson. For children who still find it a tricky concept, make use of bucket scales and plasticine to explore equivalence.
Licence
Prior knowledge starter quiz
6 Questions
Q1.What is the missing part in this bar model?

Q2.327 − 98 =
Complete this mentally.
Q3.Jun buys two rugby balls which cost £7.98 each. How much does he spend altogether? Jun spends £
Q4.Sofia has £15 to spend. She buys a bat and ball set for £12.98 so how much change should she receive? Sofia should receive £ change.
Q5.Sam thinks of a 3-digit number and then adds 7 before dividing it by 4 to finish with the number 30
What was her starting number?
Q6.What is the missing whole in this bar model?

Assessment exit quiz
6 Questions
Q1.Which symbol can you insert between two expressions to show that they have the same value?
Q2.Which of the following are equations?
Q3.What is the mass of the plasticine part on the balance scales? g
