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What is Junior Algebra about?
What is Junior Algebra about?
The Junior Algebra topic is all about giving young people a set of maths and logic skills so they can solve real world problems.
By the end of the Algebra topic, students should know how to:
By the end of the Algebra topic, students should know how to:
operate on numbers with whole-number exponents and develop the rule for multiplying or dividing numbers with exponents and the same base
express functions arising from linear and simple quadratic patterns
graph linear functions and interpret the gradient, x-intercept, and y-intercept in relation to the function or the practical situation represented
substitute into, rearrange, and simplify expressions, combining like terms as needed
create or use a formula, rule, equation, or inequality, solve for unknowns, and evaluate by substitution
identify how sequence, selection, and iteration are used in algorithms for generating patterns.
solve algebraic equations using the zero-product property (where several expressions multiply to be zero, then one of them must be zero)
determine the nature of the roots of a quadratic equation
operate on algebraic fractions
The following page covers each of these skills.
Whole-Number Exponents
Whole-Number Exponents
Students should know how to operate on numbers with whole-number exponents.
To learn to do this, watch these videos here.
Indices Power Laws 1
Incides Power Laws 2
Incides Power Laws 3
Multiplying/ Dividing Numbers with Same Power
Multiplying/ Dividing Numbers with Same Power
Students should know how to develop the rule for multiplying or dividing numbers with exponents and the same base.
To learn to do this, watch this video here.
Linear Patterns
Linear Patterns
Students should know how to express functions arising from linear patterns.
To learn to do this, watch this video here.
Quadratic Patterns
Quadratic Patterns
Students should know how to express functions arising from simple quadratic patterns.
To learn to do this, watch this video here.
Linear Graphing
Linear Graphing
Students should know how to graph linear functions.
To learn to do this, watch this video here.
Linear Graph: Slope (M) and Y-Intercept (C)
Linear Graph: Slope (M) and Y-Intercept (C)
Students should know how to interpret and find the gradient and the y-intercept of a linear equation.
To learn to do this, watch this video here.
Linear Graph: x and y intercepts
Linear Graph: x and y intercepts
Students should know how to interpret and find the x-intercept and y-intercept of a linear equation.
To learn to do this, watch this video here.
y = Mx + C IRL
y = Mx + C IRL
Students should know how to find the gradient, x-intercept, and y-intercept in a practical situation represented by a linear equation.
To learn to do this, watch this video here.
Algebra - Substitution and Re-Arranging
Algebra - Substitution and Re-Arranging
Students should know how to substitute into and rearrange as needed.
To learn to do this, watch these videos from Mr Heuser here.
Algebra Intro 1
Algebra Intro 2
Algebra Intro 3
Algebra Intro 4
Algebra - Combing Like Terms
Algebra - Combing Like Terms
Students should know how to simplify expressions and combining like terms as needed.
To learn to do this, watch these videos from Mr Heuser here.
Gathering Like Terms 1
Gathering Like Terms 2
Gathering Like Terms 3
Expand and Simplify
Expand and Simplify
Students should know how to expand, rearrange, and simplify expressions as needed.
To learn to do this, watch these videos from Mr Heuser here.
Expand and Simplify 1
Expand and Simplify 2
Expand and Simplify 3
Factorising
Factorising
Students should know how to factorise and simplify expressions as needed.
To learn to do this, watch these videos from Mr Heuser here.
Factorising Single Brackets 1
Factorising Single Brackets 2
Factorising Single Brackets 3
Factorising Double Brackets 1
Factorising Double Brackets 2
Factorising Double Brackets 3
Factorising with x coefficient >1 #1
Factorising with x coefficient >1 #2
Factorising with x coefficient >1 #3
Substitution
Substitution
Students should know how to evaluate by substitution.
To learn to do this, watch this video here.
Solving
Solving
Students should know how to solve for unknowns.
To learn to do this, watch these videos here.
Algebra Solving 1
Algebra Solving 2
Algebra Solving 3
Algebra Solving 4
Inequalities
Inequalities
Students should know how to create or use inequalities (<, >, ≤, ≥).
To learn to do this, watch these videos here.
Introducing Inequalities
Solving with Inequalities
Algorithms
Algorithms
Students should know how to identify how sequence, selection, and iteration are used in algorithms for generating patterns.
To learn to do this, watch this video here.
Roots
Roots
Students should know how to determine the nature of the roots of a quadratic equation.
To learn to do this, watch this video here.
=0 Problems
=0 Problems
Students should know how to solve algebraic equations using the zero-product property (where several expressions multiply to be zero, then one of them must be zero).
To learn to do this, watch this video here.
Zero Product Property
Solving using the Zero Product Property
Advanced Solving with the Zero Product Property
Other Algebra Skills
Other Algebra Skills
The following are other algebra skills that are good to know.
Students should also know how:
exponentials work
the quadratic formula works in principle
Both concepts come up more in Year 11 and beyond.
Exponentials
Exponentials
Students should know how exponentials work.
To learn to do this, watch this video here.
The Quadratic Formula
The Quadratic Formula
Students should know how how the quadratic formula works.
To learn to do this, watch this video here.
Check Your Understanding
Check Your Understanding
You can check your understanding of Algebra with the checklist below.
Year 10 Algebra Skills Checklist.pdfPage updated
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