Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
N 406. Add two matrices that have whole number entries
N 505. Add and subtract matrices that have integer entries
N 607. Use relations involving addition, subtraction, and scalar multiplication of vectors and of matrices
N 705. Multiply matrices
N 706. Apply properties of matrices and properties of matrices as a number system
Note: A matrix as a representation of data is treated here as a basic table.
A 604. Solve systems of two linear equations
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N 406. Add two matrices that have whole number entries
N 505. Add and subtract matrices that have integer entries
N 607. Use relations involving addition, subtraction, and scalar multiplication of vectors and of matrices
N 705. Multiply matrices
N 706. Apply properties of matrices and properties of matrices as a number system
Note: A matrix as a representation of data is treated here as a basic table.
A 604. Solve systems of two linear equations
What you'll learn
- Write a system of two linear equations as the matrix equation `AX = B`, identifying the coefficient, variable, and constant matrices, and verify the rewrite by expanding `AX`
- Compute the determinant of a 2×2 coefficient matrix and interpret a nonzero value as guaranteeing a unique solution
- Apply the 2×2 inverse formula (recalled from `act-nq-vecmat-det`) to solve a system as `X = A⁻¹B`
- Solve a 2×2 system using Cramer's rule, constructing the column-replacement matrices correctly
- Interpret a zero determinant as the system having no unique solution (none or infinitely many)
- Decide when the matrix route is the efficient choice on an ACT item, and when it is not
Slides
Step through the lesson, or watch it as a narrated video
Slides
In development
Not yet available • Check back soon!