# Year 8

## Outcomes

• Number and Algebra
• Number and place value
• VCMNA272
Use index notation with numbers to establish the index laws with positive integral indices and the zero index
18
Examples
• VCMNA273
Carry out the four operations with rational numbers and integers, using efficient mental and written strategies and appropriate digital technologies and make estimates for these computations
262
Examples
• Real numbers
• VCMNA275
Investigate the concept of irrational numbers, including pi
1
Examples
• VCMNA276
Solve problems involving the use of percentages, including percentage increases and decreases, with and without digital technologies
16
Examples
• VCMNA277
Solve a range of problems involving rates and ratios, including distance-time problems for travel at a constant speed, with and without digital technologies
113
Examples
• Money and financial mathematics
• VCMNA278
Solve problems involving profit and loss, with and without digital technologies
4
Examples
• Patterns and algebra
• VCMNA279
Extend and apply the distributive law to the expansion of algebraic expressions
15
Examples
• VCMNA281
Simplify algebraic expressions involving the four operations
22
Examples
• Linear and non-linear relationships
• VCMNA283
Plot linear relationships on the Cartesian plane with and without the use of digital technologies
20
Examples
• VCMNA284
Solve linear equations using algebraic and graphical techniques. Verify solutions by substitution
36
Examples
• Measurement and Geometry
• Using units of measurement
• VCMMG286
Choose appropriate units of measurement for area and volume and convert from one unit to another
31
Examples
• VCMMG287
Find perimeters and areas of parallelograms, trapeziums, rhombuses and kites
26
Examples
• VCMMG288
Investigate the relationship between features of circles such as circumference, area, radius and diameter. Use formulas to solve problems involving determining radius, diameter, circumference and area from each other
23
Examples
• VCMMG289
Develop the formulas for volumes of rectangular and triangular prisms and prisms in general. Use formulas to solve problems involving volume
9
Examples
• Geometric reasoning
• VCMMG292
Develop the conditions for congruence of triangles
5
Examples
• VCMMG293
Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related numerical problems using reasoning
10
Examples
• Statistics and Probability