Elaboration ACMNA214
investigating graphical and algebraic techniques for finding distance between two points
Elaboration | ACMNA214 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum
Elaboration (1) ACMNA214
using Pythagoras' theorem to calculate distance between two points
Elaboration (1) | ACMNA214 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum
Elaboration ACMNA294
investigating graphical and algebraic techniques for finding midpoint and gradient
Elaboration | ACMNA294 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum
Elaboration (1) ACMNA294
recognising that the gradient of a line is the same as the gradient of any line segment on that line
Elaboration (1) | ACMNA294 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum
Elaboration ACMNA215
determining linear rules from suitable diagrams, tables of values and graphs and describing them using both words and algebra
Elaboration | ACMNA215 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum
Elaboration ACMNA296
graphing parabolas, and circles connecting x-intercepts of a graph to a related equation
Elaboration | ACMNA296 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum
Elaboration ACMMG216
understanding that partitioning composite shapes into rectangles and triangles is a strategy for solving problems involving area
Elaboration | ACMMG216 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum
Elaboration ACMMG217
analysing nets of cylinders to establish formulas for surface area
Elaboration | ACMMG217 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum
Elaboration (1) ACMMG217
connecting the volume and capacity of a cylinder to solve authentic problems
Elaboration (1) | ACMMG217 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum
Elaboration ACMMG218
solving practical problems involving surface area and volume of right prisms
Elaboration | ACMMG218 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum
Elaboration ACMMG219
investigating the usefulness of scientific notation in representing very large and very small numbers
Elaboration | ACMMG219 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum
Elaboration ACMMG220
establishing the conditions for similarity of two triangles and comparing this to the conditions for congruence
Elaboration | ACMMG220 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum
Elaboration (1) ACMMG220
using the properties of similarity and ratio, and correct mathematical notation and language, to solve problems involving enlargement (for example, scale diagrams)
Elaboration (1) | ACMMG220 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum
Elaboration (2) ACMMG220
using the enlargement transformation to establish similarity, understanding that similarity and congruence help describe relationships between geometrical shapes and are important elements of reasoning and proof
Elaboration (2) | ACMMG220 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum
Elaboration ACMMG221
establishing the relationship between areas of similar figures and the ratio of corresponding sides (scale factor)
Elaboration | ACMMG221 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum
Elaboration ACMMG222
understanding that Pythagoras' Theorem is a useful tool in determining unknown lengths in right-angled triangles and has widespread applications
Elaboration | ACMMG222 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum
Elaboration (1) ACMMG222
recognising that right-angled triangle calculations may generate results that can be integers, fractions or irrational numbers
Elaboration (1) | ACMMG222 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum
Elaboration ACMMG223
developing understanding of the relationship between the corresponding sides of similar right-angled triangles
Elaboration | ACMMG223 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum
Elaboration ACMMG224
understanding the terms 'adjacent' and 'opposite' sides in a right-angled triangle
Elaboration | ACMMG224 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum
Elaboration (1) ACMMG224
selecting and accurately using the correct trigonometric ratio to find unknown sides (adjacent, opposite and hypotenuse) and angles in right-angled triangles
Elaboration (1) | ACMMG224 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum