Solving Quadratics by Factoring – Matching Sheet

- Year levels
- Years 8–9
- File type
- Preparation
- Print ready
- Subject
- Algebra, Maths
- Topic
- Quadratic Equations, Factoring
- Resource types
- Worksheets
- Preparation
- Print ready
- Australian Curriculum content descriptions
- AC9M9A04 — identify
From the author
About this resource
Solving Quadratic Equations by Factoring Matching Worksheet
The Solving Quadratic Equations by Factoring Matching Worksheet is a high-performing teaching tool for Year 8 and 8 students. It has been resourcefully constructed to provide reinforcement in solving quadratic equations through factoring.
Features:
- It comprises of 13 meticulously-crafted algebra problems.
- Serves as an effective instrument for classroom engagement during whole group instruction or cooperative group learning sessions.
- Possibility of serving as individualised homework assignments, ensuring the continuation of learning even outside the classroom.
The Matching Concept:
A unique matching concept which helps students to revisit their calculations if they do not find their answers, fostering independent problem-solving skills and self-correction opportunities.
Benefits For Teachers:
- Makes review sessions quicker due to the matching concept and note-making layout. Makes marking simple while providing visibility into each student's work.
Option Bank:
An 'option bank' makes guesswork difficult due to a wide range of possibilities – thus promoting methodical problem-solving approaches over arbitrary selection.
In the classroom
Teaching tips & learning objectives
Learning objectives
Factor quadratic expressions set equal to zero
Apply the zero-product property
Match an equation with its complete solution set
Teaching tips
Have students check each root by substitution before recording a match.
Review equations with a repeated solution separately from those with two roots.
Skills covered
Quadratic factoring
Zero-product reasoning
Solution-set matching
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Australian Curriculum (Version 9.0)
Australian Curriculum content descriptions
Australian Curriculum content descriptions
- AC9M9A04 — identify and graph quadratic functions, solve quadratic equations graphically and numerically, and solve monic quadratic equations with integer roots algebraically, using graphing software and digital tools as appropriate
Core concepts
Quadratic equations
Factoring
Roots
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