Mathematics overview: Stage 10 (Modified) Unit
Hours
Calculate with roots and integer indices
•
Manipulate algebraic expressions by expanding the product of two binomials
• 7
Manipulate algebraic expressions by factorising a quadratic expression of the form x² + bx + c
•
Understand and use the gradient of a straight line to solve problems
7
• •
Plot and interpret graphs of quadratic functions Solve problems involving similar shapes
•
Calculate exactly with multiples of π
•
Apply Pythagoras’ theorem in two dimensions
•
Use geometrical reasoning to construct simple proofs
•
Use tree diagrams to list outcomes
12
Constructions
6
Assessment 1 Calculating Space (Segments and Sectors) Calculating Space (trigonometry) Proportional reasoning Assessment 2 Algebraic Proficiency - Visualising
7
Understanding Risk
4
Assessment 3
Calculations, Checking & Rounding Indices, Roots, Reciprocals, Hierarchy Factors, Multiples, Primes, Std Form & Surds Algebra:basics,setting up,rearranging,solving EOY exams Further consolidation of topics needed
BAM indicators •
Algebraic Proficiency I and II
Essential knowledge • Know how to interpret the display on a scientific calculator when working with standard form • Know the difference between direct and inverse proportion • Know how to represent an inequality on a number line • Know that the point of intersection of two lines represents the solution to the corresponding simultaneous equations • Know the meaning of a quadratic sequence • Know Pythagoras’ theorem • Know the definitions of arc, sector, tangent and segment • Know the conditions for congruent triangles