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Transcript

GSE PreCalculus Unit 1: Matrices Unit Essential Question: How do I use matrices to represent and manipulate data? Day Lesson Assignment Day 1 How do I add and subtract matrices? How do I Class intro/syllabus Monday multiply matrices by a scalar? Keeper PPT 1.1p Standard: MGSE9-12.N.VM.7, MGSE9-12.N.VM.8 8-1-16 Notes Add, Subtract, Add, Subtract matrices of appropriate dimensions. Multiply matrices by a scalar to produce a new matrix. multiply by scalar Instruction: Discussion & Group Practice Classwork: Differentiation: Individual pacing/questions WS 1.1 #1-10 Homework: WS 1.1a #1-14 Day 2 Tuesday 8-2-16 Day 3 Wednesday 8-3-16 How do I multiply matrices? Standard: MGSE9-12.N.VM.7, MGSE9-12.N.VM.8 Add, Subtract, and multiply matrices of appropriate dimensions. Multiply matrices by a scalar to produce a new matrix. Instruction: Discussion & Group Practice Differentiation: Individual pacing/questions Class meetings – SLO Pre-test How do I find determinants and inverses (2x2 only)? Standard: MGSE9-12.N.VM.10 Understand that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1 in the real numbers. The determinant of a square matrix is a nonzero if and only if the matrix has a multiplicative inverse Instruction: Discussion & Group Practice Differentiation: Individual pacing/questions Keeper: Finish PPT Question on Solving, Additive inverse/identity WS 1.1 #11-17 Keeper: PPT 1.2p Notes on Matrix Multiplication Homework: WS 1.2 Classwork: Daily Skill Check #1 +,-,x, Slo Pre-Test Homework: Catch up on first two days WS 1.2a Day 4 Thursday 8-4-16 Day 5 Friday 8-5-16 How do I find determinants and inverses (2x2 only)? Standard: MGSE9-12.N.VM.10 Understand that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1 in the real numbers. The determinant of a square matrix is a nonzero if and only if the matrix has a multiplicative inverse Instruction: Discussion & Group Practice Differentiation: Individual pacing/questions Quiz 1 How do I complete matrix operations using a calculator? Standard: MGSE9-12.N.VM.7, MGSE9-12.N.VM.8 Add, Subtract, and multiply matrices of appropriate dimensions. Multiply matrices by a scalar to produce a new matrix. Instruction: Discussion & Group Practice Differentiation: Individual pacing/questions Keeper: Notes PPT 1.3p on Determinant and Inverses. Classwork: WS 1.3 Homework: Study for Quiz Classwork: Quiz 1 WS 1.4 Matrix Ops with Calculator Homework: Purchase a Calculator Day 6 Monday 8-8-16 How do I solve systems of equations using matrices? Standard: MMGSE9-12.A.REI.8, MMGSE9-12.A.REI.9 Represent a system of linear equations as a single matrix equation. Find the inverse of a matrix if it exists and use to solve systems of linear equations Instruction: Go over homework, Discussion, & Group Practice Differentiation: Individual pacing/questions. Keeper: Notes PPT 1.5p on Solving Systems w/ Matrices Classwork: WS 1.5 Homework: WS 1.5a Day 7 Tuesday 8-9-16 Day 8 Wednesday 8-10-16 Day 9 Thursday 8-11-16 How do I solve systems of equations using matrices? How do I find the area of a triangle given 3 vertices? Standard: MMGSE9-12.A.REI.8, MMGSE9-12.A.REI.9, MMGSE9-12N.VM.12 Represent a system of linear equations as a single matrix equation. Find the inverse of a matrix if it exists and use to solve systems of linear equations Interpret the absolute value of the determinant in terms of area. Instruction: Go over homework, Discussion, & Group Practice Differentiation: Individual pacing/questions. Daily Skills Check #2 – Solving Systems Keeper: Notes PPT 1.6 Find the area of Triangle using Matrices. Applications with Matrices Classwork: Quads Application Activity WS 1.6 Test 1 Review Classwork: Review Sheet Quads Test 1: Matrices Test 1 - Matrices