Formulas and Equations

algebra year11 standard

Formulas and Equations | NSW Curriculum Website

• MST-11-01 selects and applies algebraic techniques to solve problems involving equations and formulas

📖 Prior Knowledge

Content	Prerequisite relationships
Non-spatial Measure B	- Represent time intervals as decimals → Convert between decimal hours and hours–minutes–seconds
Computation with Integers	- Apply the order of operations to integers → Substitute values into algebraic expressions
Ratios and Rates	- Convert between units for rates → Calculate distance, speed and time - Convert between decimal hours and hours–minutes–seconds (revisited content) - Calculate distance, speed and time (revisited content)
Algebraic Techniques	- Use algebraic notation conventions → Substitute values into algebraic expressions - Translate between words and algebraic expressions → Model word problems with equations - Substitute values into algebraic expressions (revisited content)
Equations	- Solve 2-step linear equations → Model word problems with equations - Solve 2-step linear equations → Solve equations from formulas - Solve equations with the pronumeral on both sides → Model word problems with equations - Model word problems with equations (revisited content) - Solve equations from formulas (revisited content) - Solve quadratic equations of the form $a{x}^2=c$ → Solve quadratics from formulas - Solve quadratics from formulas (revisited content)
Equations A	- Solve 3-step linear equations → Change the subject of a formula
Equations C	- Change the subject of a formula (revisited content)

Formulas and equations

• Substitute numbers into linear and non-linear algebraic expressions, equations and formulas
• Evaluate the subject of a formula, given the value of other pronumerals in the formula
• Calculate distance, speed and time (with change of units of measurement as required) and stopping distances of vehicles using $speed=\frac{distance}{time}$ and $stoppingdistance=reactiondistance+brakingdistance$
• Apply the formulas $BA{C}_{\text{male}}=\frac{10N-7.5H}{6.8M}$ and $BA{C}_{\text{female}}=\frac{10N-7.5H}{5.5M}$ to calculate and interpret blood alcohol content (BAC) based on drink consumption and body weight, where $N$ is the number of standard drinks consumed, $H$ is the number of hours drinking and $M$ is the person’s weight in kilograms.
• Apply the formula $Time=\frac{BAC}{0.015}$ to determine the number of hours required for a person to stop consuming alcohol in order to reach zero BAC
• Identify and explain the limitations of methods used to estimate BAC
• Calculate the required medication dosages for children and adults given age or weight, using Fried’s, Young’s and Clark’s formula as appropriate
• Apply given formulas to solve problems in a variety of contexts
• Change the subject of linear and non-linear formulas limited to quadratics of the form $y=a{x}^2+c$ to solve problems and make decisions about solutions in the context of the problem
• Represent a word problem as a linear equation, solve the equation and interpret the solution in the context of the problem
• Use a spreadsheet to perform calculations involving formulas