Well, the plan to post each day lasted exactly one day.* We have an excuse,** but we won’t make excuses. We’ll try to do better.
This A-Crash consists of two Content-Elaboration combos for Year 9 Algebra.
expand and factorise algebraic expressions including simple quadratic expressions
recognising the application of the distributive law to algebraic expressions
using manipulatives such as algebra tiles or an area model to expand or factorise algebraic expressions with readily identifiable binomial factors, for example, or
recognising the relationship between expansion and factorisation and identifying algebraic factors in algebraic expressions including the use of digital tools to systematically explore factorisation from where one of or is fixed and the other coefficient is systematically varied
exploring the connection between exponent form and expanded form for positive integer exponents using all of the exponent laws with constants and variables
applying the exponent laws to positive constants and variables using positive integer exponents
investigating factorising non-monic trinomials using algebra tiles or strategies such as the area model or pattern recognition
graph simple non-linear relations using graphing software where appropriate and solve linear and quadratic equations involving a single variable graphically, numerically and algebraically using inverse operations and digital tools as appropriate
graphing quadratic and other non-linear functions using digital tools and comparing what is the same and what is different between these different functions and their respective graphs
using graphs to determine the solutions to linear and quadratic equations
representing and solving linear and quadratic equations algebraically using a sequence of inverse operations and comparing these to graphical solutions
graphing percentages of illumination of moon phases in relationship with Aboriginal and Torres Strait Islander Peoples’ understandings that describe the different phases of the moon
*) Luckily, 1 is a Fibonacci number.
**) “Burkard, please put down the whip.”