Algebra, Equations and Lines
Relationships between different quantities can be analyzed using models.
The MYP criteria this unit is marked against.
- Knowing and Understanding
- Investigating Patterns
- Communicating
- Applying Mathematics in Real-life Contexts
What this unit covers
The sub-topics taught, in the order the department teaches them.
- Formulae
- Solving equations
- Expansion
- Indices
- Transformations
- Straight Lines
- Simultaneous Equations
Learning objectives
What students should be able to do by the end of this unit.
Coordinate Geometry
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- Understand gradient as angles and ratios.
- Calculate the gradient of a line through two points.
- Calculate the distance between two points on a Cartesian plane.
- Calculate the midpoint between two points.
- Understand the properties of parallel and perpendicular lines.
- Determine the equation of a line in slope-intercept form (y = mx + c).
- Graph lines from given equations and read intercepts.
- Find the equation of a line given a point and gradient or two points.
- Discuss the rate of change of one variable in relation to another.
Simultaneous Equations
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- Solve simultaneous equations graphically.
- Solve simultaneous equations numerically using tables.
- Solve simultaneous equations algebraically using the equal value (y = y) method.
- Solve simultaneous equations by substitution.
- Solve simultaneous equations by elimination.
- Recognise systems with no solution or infinitely many solutions.
- Model real-world word problems with a pair of simultaneous equations and solve them.
Indices
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- Evaluate numerical expressions involving positive integer indices.
- Apply the index laws for multiplication, division and power of a power.
- Evaluate expressions with zero and negative integer indices.
- Evaluate expressions with fractional indices (e.g. a^(1/2), a^(1/3)).
- Simplify algebraic expressions using the index laws.
Scientific Notation
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- Convert between ordinary numbers and scientific (standard) form.
- Multiply and divide numbers in standard form.
- Apply compound percentage change to numbers in standard form.
Transformations
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- Perform translations, rotations and reflections of shapes.
- Perform enlargements from a given centre with a positive whole-number or fractional scale factor.
- Transform individual coordinates and rigid figures on the Cartesian plane.
- Describe transformations fully (type + parameters).
- Perform and describe compound transformations.
Congruence and Similarity
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- Understand definitions and notation for congruence (≡) and similarity (∼).
- Identify congruent figures using SSS, SAS, ASA and RHS.
- Identify similar figures using matching angle criteria.
- Find missing sides or angles in similar figures using the linear scale factor.
- Understand that area scales by the square of the scale factor (k²).
- Understand that volume scales by the cube of the scale factor (k³).
Curated revision materials parents and students can download.
A review pack for this unit is being prepared.
MYP framing
- Focus ATLs
- Communication – I. Communication skills
- Social – II. Collaboration skills
- Key concepts
- Relationships are the connections and associations between properties, objects, people and ideas – including the human community's connections with the world in which we live.
- Global context
- Globalization and sustainability