Like terms
I can identify like terms in an expression, generalising an understanding of unitising (equality).
- Year 7
Like terms
I can identify like terms in an expression, generalising an understanding of unitising (equality).
Lesson details
Key learning points
- Bar models can be used to represent an expression.
- Each term can be unitised just like numbers when using place value.
- Like terms can be identified and described.
- Coefficients help us describe terms.
Keywords
Unitising - Unitising means treating groups that contain, or represent, the same numbers of things as ‘ones’ or ‘units’.
Like terms - Like terms are terms that have the same set of variables and corresponding exponents.
Common misconception
2y and 3y are not like terms because they have different coefficients.
Think of 'Unitising'. 3cm and 8cm. What are the units? 8mg and 10mg. What are the units? 2y and 3y. What are we 'unitising' here?
Licence
Prior knowledge starter quiz
6 Questions
Q1.In the expression $$x^2+7x+10$$ the $$x^2$$, the $$7x$$ and the $$10$$ are all known as what?
Q2.How do you write $$7\times a$$ using correct algebraic notation?
Q3.Which of these show a correctly written identity?
Q4.Match the expressions to their simplified form.
$$3 \times x$$ -Â $$3x$$
$$2 \times x$$ -Â $$2x$$
$$x \times x$$ -Â $$x^2$$
$$x \times x \times x$$ -Â $$x^3$$
Q5.Which of the below simplifies to $$a^3b$$?
Q6.Match the expressions to their simplified form.
$$x \times y$$ -Â $$xy$$
$$x \times y \times z$$ -Â $$xyz$$
$$y \times z$$ -Â $$yz$$
$$y \times z \times z$$ -Â $$yz^2$$
$$y \times y \times z$$ -Â $$y^2z$$
$$y \times z \times 2$$ -Â $$2yz$$
Assessment exit quiz
6 Questions
Q1.Which of these show pairs of like terms?
Q2.$$3a, 10a, {{1} \over {3}}a, 0.5a,$$ and $$a$$ are all examples of what in algebra?
Q3.Match each term with a like term.
$$2xy$$ -Â $$-xy$$
$$5xyz$$ -Â $${{1} \over {2}}xyz$$
$$-xz$$ -Â $$0.1xz$$
$${{1} \over {2}}yz$$ -Â $$2yz$$
$$0.1y$$ -Â $$5y$$
Q4.$$5x$$ and $$5x^2$$ are not like terms because the variables do not have corresponding .
Q5.Select all of the like terms.
Q6.Match each term with a like term.
$$-a^2b$$ -Â $$5a^2b$$
$$ab^2$$ -Â $$-ab^2$$
$$2ab^2c$$ -Â $$ab^2c$$
$$3a^2b^2$$ -Â $$2a^2b^2$$
$$4a^2bc$$ -Â $$3a^2bc$$
$$5a^2bc^2$$ -Â $$4a^2bc^2$$