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Elaboration ACMNA230

using the distributive law and the index laws to factorise algebraic expressions

numeracy

Elaboration | ACMNA230 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

Elaboration (1) ACMNA232

using the index laws to simplify products and quotients of algebraic fractions

numeracy

Elaboration (1) | ACMNA232 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

Elaboration (2) ACMNA233

using the identities for perfect squares and the difference of squares to factorise quadratic expressions

numeracy

Elaboration (2) | ACMNA233 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

Elaboration ACMNA234

solving simple equations arising from formulas

numeracy

Elaboration | ACMNA234 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

Elaboration ACMNA239

sketching graphs of parabolas, and circles

numeracy

Elaboration | ACMNA239 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

Elaboration (2) ACMNA239

sketching the graphs of exponential functions using transformations

numeracy

Elaboration (2) | ACMNA239 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

Elaboration ACMNA231

applying knowledge of index laws to algebraic terms, and simplifying algebraic expressions using both positive and negative integral indices

numeracy critical-creative

Elaboration | ACMNA231 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

Elaboration ACMNA232

expressing the sum and difference of algebraic fractions with a common denominator

critical-creative numeracy

Elaboration | ACMNA232 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

Elaboration ACMNA233

exploring the method of completing the square to factorise quadratic expressions and solve quadratic equations

critical-creative numeracy

Elaboration | ACMNA233 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

Elaboration (1) ACMNA233

identifying and using common factors, including binomial expressions, to factorise algebraic expressions using the technique of grouping in pairs

numeracy critical-creative

Elaboration (1) | ACMNA233 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

Elaboration ACMNA237

associating the solution of simultaneous equations with the coordinates of the intersection of their corresponding graphs

critical-creative numeracy

Elaboration | ACMNA237 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

Elaboration (1) ACMNA239

applying translations, reflections and stretches to parabolas and circles

numeracy critical-creative

Elaboration (1) | ACMNA239 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

Elaboration ACMNA229

working with authentic information, data and interest rates to calculate compound interest and solve related problems

numeracy literacy information-communication critical-creative

Elaboration | ACMNA229 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

Elaboration (1) ACMNA230

understanding the relationship between factorisation and expansion

critical-creative numeracy

Elaboration (1) | ACMNA230 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

Elaboration ACMMG242

investigating and determining the volumes and surface areas of composite solids by considering the individual solids from which they are constructed

numeracy critical-creative

Elaboration | ACMMG242 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

Elaboration ACMMG243

applying an understanding of relationships to deduce properties of geometric figures (for example the base angles of an isosceles triangle are equal)

critical-creative numeracy

Elaboration | ACMMG243 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

Elaboration ACMMG244

distinguishing between a practical demonstration and a proof (for example demonstrating triangles are congruent by placing them on top of each other, as compared to using congruence tests to establish that triangles are congruent)

numeracy critical-creative

Elaboration | ACMMG244 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

Elaboration (1) ACMMG244

performing a sequence of steps to determine an unknown angle giving a justification in moving from one step to the next.

critical-creative numeracy

Elaboration (1) | ACMMG244 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

Elaboration ACMMG245

applying Pythagoras' Theorem and trigonometry to problems in surveying and design

numeracy critical-creative

Elaboration | ACMMG245 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

Elaboration ACMSP246

recognising that an event can be dependent on another event and that this will affect the way its probability is calculated

critical-creative numeracy

Elaboration | ACMSP246 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

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