Maths Standard Year 11 - Module 1 - Lesson 1

Algebraic Language, Variables and Substitution

Practise writing what variables mean, substituting values, and interpreting answers with units.

Name
Date
Class

1. Key Ideas

  • A variable represents a quantity that can change.
  • Substitution means replacing a variable with a known value.
  • A final answer should include units and a short interpretation.

2. Success Criteria

  • I can identify variables, constants and coefficients.
  • I can substitute values into formulas in the correct order.
  • I can explain what a calculated value means in context.

3. Key Terms

VariableA letter or symbol representing a quantity that can change.
ConstantA value that stays fixed.
CoefficientThe number multiplying a variable.
SubstitutionReplacing a variable with a known value.

4. Short Answer Questions

1. In $C = 8 + 1.50k$, identify the variable, the fixed cost and the rate per kilometre. 3 marks

2. Use $d = st$ to find the distance travelled at 72 km/h for 2.5 hours. Include units. 2 marks

3. Use $P = 2l + 2w$ to find the perimeter when $l = 13$ m and $w = 6$ m. 2 marks

4. Explain why $3x$ means $3 \times x$, not $3 + x$. 2 marks

5. Explain the error: if $x = -4$, a student writes $x^2 = -16$. 2 marks

5. Success Criteria Proof

Create your own formula with one fixed value and one variable rate. Define each variable, substitute a value, and interpret the answer. 4 marks

HSCScience - Printable lesson worksheet - Maths Standard Year 11 - Module 1 - Lesson 1

Classification Tree A hierarchical classification tree branching from a root concept into categories and subcategories. ROOT CONCEPT CATEGORY A CATEGORY B CATEGORY C Sub-type A1 Sub-type A2 Sub-type B1 Sub-type B2 Sub-type C1 Sub-type C2 Edit root, categories and sub-types to match your classification.