Reviewing solving equations
In this lesson, we will review how to solve equations. We will then convert worded operations into algebraic terms to make them easier to solve.
Unit Overview: Solving linear simultaneous equations algebraically
Lessons:
16 lessons
Equivalent equations
In this lesson, we will explore equations and develop our ability to be able to idenitfy equivalent equations in a list.
Linear relationships
In this lesson, we will learn how to use relationships between linear sequences to find new sequences.
Combining algebraic relationships
In this lesson, we will learn to use equivalence to combine algebraic relationships.
Exploring expressions with two variables
In this lesson, we will explore expressions with two variables and how to interpret them. We will also look at examples involving spending money on combinations of pens and pencils.
Exploring systems of equations
In this lesson, we will explore systems of equations. We will also use arithmagons to derive a system of equations that can be solved.
Solving simultaneous equations
In this lesson, we will solve a word simultaneous equation. We will then interpret the problem and create two equations from it and model a solution.
Writing simultaneous equations algebraically
In this lesson, we will learn to write word simultaneous equations algebraically. We will then interpret worded problems and write two algebraic equations based on the information provided, then solve them.
Checking the solution of simultaneous equations
In this lesson, we will learn to check the solutions to simultaneous equations by a method of substitution.
Solving a simultaneous equation algebraically
In this lesson, we will learn to solve simultaneous equations algebraically. We will interpret pictorial representations of equations and write them as simultaneous algebraic equations.
Eliminating a variable
In this lesson, we will determine how to eliminate a variable by adding or subtracting one equation to or from the other.
Manipulating systems of equations
In this lesson, we will manipulate systems of equations in order to eliminate an unknown. We will look at cases where one equation can be altered to enable elimination by addition or subtraction.
Solving word problems
In this lesson, we will use the techniques learned in this unit using simultaneous equations to investigate and model solutions to word problems.
Using substitution to solve simultaneous equations
In this lesson, we will introduce solving simultaneous equations using the method of substitution.
Substitution or Elimination
In this lesson, we will compare the different ways to solve simultaneous equations. We will determine when and where to use different strategies, and develop a sense of the advantages and disadvantages of each method.
Simultaneous equations by trial and error
In this lesson, we will learn how to solve simultaneous equations by a method of trial and error.
Units in Maths
- Numbers and numerals
- Axioms and arrays
- Factors and multiples
- Order of operations
- Positive and negative numbers
- Expressions, equations and inequalities
- Angles
- Classifying 2-D shapes
- Constructing triangles and quadrilaterals
- Coordinates
- Area of 2-D shapes
- Transforming 2-D figures
- Prime factor decomposition
- Conceptualising and comparing fractions
- Manipulating and calculating with fractions
- Ratio
- Percentages
- Different number systems
- Sequences
- Forming and solving equations
- Forming and solving inequalities
- Linear graphs
- Accuracy and estimation
- Algebra and problem solving
- Ratio (8.6a)
- Ratio, real life graphs, and rates of change
- Direct and indirect proportion
- Univariate data
- Bivariate data
- Famous maths problems
- Angles and parallel lines
- Angles in polygons
- Bearings
- Volume and surface area of prisms
- Area review
- Circles
- FDP review (9.1a)
- Probability
- Sets and Venn Diagrams
- Solving linear simultaneous equations algebraically
- Solving linear simultaneous equations graphically
- Angle review (9.5a)
- Constructions, congruence, and loci
- Pythagoras's theorem
- Famous maths problems
- Ratio review (9.7a)
- Similarity and enlargement
- Surds and trigonometry
- Quadratic expressions (9.9)
- Quadratic equations (9.10)
- Indices and standard form
- Growth and decay
- Finance