MYP 4Year 10Term 1–2
Algebra
Expanding · Factorising · Surds · Systems of equations
Algebra
15 objectives
Learning objectives
What students should be able to do by the end of this unit.
Expanding and Factorising
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- Expand single and double brackets, including $(a+b)(c+d)$ and special products $(a+b)^2$ and $(a-b)(a+b)$.
- Factorise expressions by taking out the highest common factor.
- Factorise quadratic expressions of the form $x^2 + bx + c$ (monic).
- Factorise quadratic expressions of the form $ax^2 + bx + c$ with $a > 1$ (non-monic).
- Factorise the difference of two squares, $a^2 - b^2$.
Solving Equations
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- Solve multi-step linear equations, including those with rational coefficients.
- Solve linear equations with variables on both sides and with brackets.
- Solve equations involving square and cube roots, recognising when both signs apply.
- Solve linear equations with irrational coefficients (e.g. coefficients involving $\sqrt{2}$).EXT
Algebraic Fractions and Systems
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- Simplify algebraic fractions where the numerator and denominator share a common factor.
- Simplify algebraic fractions that require factorising a quadratic first.
- Simplify algebraic fractions whose numerator or denominator contains surds.EXT
- Solve a system of two linear equations using substitution and elimination.
- Model a real-world problem with a system of equations and interpret the solution in context.
- Solve a system of three linear equations in three unknowns.EXT
Review pack
Curated revision materials parents and students can download.
A review pack for this unit is being prepared.