Algebraic Expressions · B6 Mathematics

Lesson notes

Learning Objectives

Indicator: B6.2.2.1.1 - Demonstrate understanding of algebraic expressions as mathematical phrases that can contain letters which represent ordinary numbers and operators (like add, subtract, multiply, and divide).

By the end of the lesson, learners can:

Translate word phrases such as “sum of 8 and s” into algebraic expressions like 8 + s.
Write algebraic expressions for the perimeter and area of given shapes.
Simplify algebraic expressions by grouping like terms.
Substitute given values for unknowns into algebraic expressions and calculate the result correctly.
Solve a simple word problem involving patterns and express the rule using letters.

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Curriculum details

Strand: Algebra (Strand 2)
Sub-strand: Algebraic Expressions (2.2)
Content standard: B6.2.2.1 - Demonstrate understanding of algebraic expressions
Indicator: B6.2.2.1.1 - Demonstrate understanding of algebraic expressions as mathematical phrases that can contain letters which represent ordinary numbers and operators (like add, subtract, multiply, and divide).
Suggested placement: Term 2, Week 11 (Week 23 of the year)
Our suggestion, laid out in curriculum order across three terms of twelve weeks. NaCCA does not fix the week, so follow your school's scheme of learning.
Curriculum reference: Mathematics Curriculum for Primary Schools (Basic 4-6), 2019, p. 141
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g. 1. Write algebraic expressions for word problems: 1) Sum of 8 and s 2) Take away 4 from m 3) 9 times the sum of 8 and q 4) Subtract 4 from 7 times g 5) One-sixth of n is added to the 6) Three-fourths of the sum of c product of 9 and y and 2 7) 8 divided by r 8) 8 times the sum of c and 7

Wide black-and-white mathematical teaching visual is organised as a table with horizontal divisions, vertical... — A wide black-and-white mathematical teaching visual is organised as a table with horizontal divisions, vertical divisions. Visible labels, values, and notation include: Dentainsterate snders represeof alrebraiy expressioand spattersice alrd ses that can; multiply, and divide).; E.g. I. Write algebraic expressions for word problems; 1) Sum of 8 and s; 3) 9 times the sum of 8 and q; 5) One-sixth of n is added to the;.

E.g. 2. Write algebraic expressions for the perimeter of the following shapes:

E.g. 3. Write algebraic expressions for the area of the following shapes:

E.g. 4. Simplify basic algebraic expressions by grouping like terms. E.g. 1) 5 + 4 z - 1 + 2 z 2) 10s - 1 + 3 - 5 s 3) -6t - 7 - 2 - 3 t 4) 2 - z - 1 + 4 z 5) -9 c + 7 c + 8 - 3 c 6) -5p + 3px - 7 - 5px + 10x
E.g. 5. Substitute a value for an unknown into an expression and correctly calculate the answer. E.g. Find the values of these algebraic expressions using the values given in the following: 1) z + 7d use z = 7 and d = 4 2) 8k + d use k = 2 and d = 3 3) 7(5f - 3n) - 8 use n = 3 and f = 7 4) 7d - 2f + 9 use d = 2 and f = 5 5) -5f + 8b + 4 - 9 use f = 9 and b = 3 6) -6(2x - 7h) use h = 2 and x = 4 (i) (ii) If Sena used 13 match sticks in making next pattern squares, (i) write a mathematical sentence that represents the matchsticks. (ii) how may match sticks will she need to make the pattern with 10 squares? how may squares did she make if she used 64 match sticks?