Securing understanding of equality
I can appreciate how to maintain equality between two statements.
Securing understanding of equality
I can appreciate how to maintain equality between two statements.
Lesson details
Key learning points
- Bar models can be used to compare expressions.
- If the expressions are equal the bars will be the same length.
- Operations can be performed on the bars that maintain equality.
- This can be extended to operations on statements expressed algebraically.
Common misconception
Trying to double an expression and only doubling one term.
Use the numerical examples to show why this does not work. Use of brackets in working out is also helpful.
Keywords
Equation - An equation is used to show two expressions that are equal to each other.
Variable - A variable is a quantity that can take on a range of values, often denoted by a letter.
Constant - A constant is a term that does not change; it contains no variables.
Like terms - Like terms are terms that have the same set of variables and corresponding exponents.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
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Starter quiz
6 Questions
$$2(3x - 4)$$ -
$$6x - 8$$
$$2(4 - 3x)$$ -
$$-6x + 8$$
$$2(3x - 2)$$ -
$$6x - 4$$
$$2(2 - 3x)$$ -
$$-6x + 4$$
$$-2(-3x - 4)$$ -
$$6x + 8$$
$$-2(4 + 3x)$$ -
$$-6x - 8$$
Exit quiz
6 Questions
A -
$$2(x + 9)= 2(22)$$
B -
$$x + 9 + x + 9 = 22 + x + 9$$
C -
$$x + 9 + 2x + 18= 22 + 2x + 18$$
D -
$$3(x + 9) = 3(22) $$
E -
$$x + 9 + 22 = 22 + 22$$