Systems & Matrices: Mastering the Foundations of Linear Thinking
Systems & Matrices: Mastering the Foundations of Linear Thinking
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Click to see all 16 Lessons in Unit 4
Click to see all 16 Lessons in Unit 4
1.IDENTIFY VARIABLES AND WRITE EQUATIONS WITH x & y.
2.SOLVING 2D EQUATIONS USING GRAPH
3.SOLVING 2D EQUATIONS USING ELIMINATION
4.SOLVING 2D EQUATIONS USING SUBSTITUTION
5.INTERPRETING 2D SOLUTIONS GEOMETRICALLY
6.SOLVING 3D EQUATIONS USING GRAPHICS CALCULATOR
7.SOLVING 3D EQUATIONS USING ELIMINATION
8.SOLVING 3D EQUATIONS USING ROW REDUCTION
9.INCONSISTENT SYSTEMS
10.CONSISTENT SYSTEMS
11.INTRODUCING MATRICES FORMALLY
12.INVERSE OF A MATRIX USING ROW OPERATION
13.CALCULATING DETERMINANT OF A MATRIX
14.INVERSE MATRIX USING MINORS,COFACTORS AND ADJOINTS
15.USING DETERMINANT TO SOLVE
16.APPLYING DETERMINANATS IN GEOMETRY
The Unit 4 Resource Bundle Get your classroom time back with materials designed for the thinking process.
✅ 16 Printable Worksheets
✅ Complete Worked Solutions
✅ Delivered via Email (PDF)
A Note from the Creator: I’ve priced this bundle at $9.99, roughly the cost of two cups of coffee. While the caffeine keeps me fueled to build these courses between my own teaching shifts, these PDFs are here to help you stop racing the bell and start mentoring again.
Simultaneous Equations And Matrices
• Covers: This module provides an in-depth exploration of simultaneous equations, progressing from two-dimensional systems solved graphically, by elimination, and by substitution, to three-dimensional systems utilizing both calculator methods and advanced techniques like row reduction. It distinguishes between consistent and inconsistent systems. The module then introduces matrices, covering their formal definition, calculating determinants, finding inverse matrices using row operations, minors, cofactors, and adjoints, and applying determinants in geometric contexts.
• Outcomes: Solve 2D systems of simultaneous equations using graphical, elimination, and substitution methods. Solve 3D systems of simultaneous equations, including using a graphics calculator, elimination, and row reduction. Identify and interpret consistent and inconsistent systems of equations. Understand the formal introduction of matrices, including calculating determinants and inverse matrices. Apply determinants to solve various mathematical problems, including geometric applications.
TESTIMONIAL
"I enjoyed the structure of the questions and answers, and the quantity of questions that were available in order to practise the skills that I attained. I gained an understanding of algebra and calculus from a different angle than ways that I have been taught by previous teachers. Anyone who is looking to achieve in algebra and calculus and cannot attend school for any reason should definitely enroll in this course"
🎓 Q. C. – Year 12 Student
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