Gr. 10 Math (2D)‎ > ‎

### Ch. 1 - Systems of Linear Equations

By the end of this chapter, students will be able to:
• Solve a system of linear equations using a variety of strategies.
• Solve problems that are modelled by linear equations or systems of linear equations.
• Describe the relationship between the number of solutions to a system of linear equations and the coefficients of the equations.
The following outline is subject to change without noticeAttend class for the most up-to-date version.
 Topic Homework Note Getting Ready for Chapter 1 Do: Pg. 4 # 1, 2b, 3a, 5ace, 6ac, 10, 11bdf, 12 Tues. Sept. 10th 1.1 - Representing Linear Relations (connecting English with relations and lines)     Refreshers on Lines and Graphing Read: pg. 8-12 Do: pg. 13 # 4d, 5, 9, 10, 12 Wed. Sept. 11th (This is supplemental, do on your own if curious)     Equivalent Systems Part 2 (video)     Identifying Equivalent Systems (Khan)     Online Practice Determine the number of solutions for the following linear systems without technology. Show your work and explain your answer. a) y = 3x − 7 and 3x + y = 8 b) 2x − y = 5 and 6x − 3y − 18 = 0 c) x + 4y − 12 = 0 and 8y = −2x + 24 Own Time 1.3 - Graphically Solving Linear Systems   ↳ Solving a System of Equations by Graphing Read: pg. 21-25Do: pg. 26 # 1d, 2c, 3ab, 5ace, 6, 7Online Practice Thurs. Sept. 12th 1.4 - Solving with the Method of Substitution    ↳ Fantastic Playlist on Khan Academy Read: pg. 33-38 Do: pg. 39 #  3, 5>, 9 abcd Online Practice Fri. Sept. 13th { Quiz on 1.3 }1.6 - Solving with the Method of Elimination               ↳  Class Note (filled)     Example of Elimination (video)     Advanced Example of Elimination (video)     The King's Cupcakes Read: pg. 49-54 Do: pg. 54 # (4, 6, 11)> Online Practice Mon. Sept. 16th 1.4/1.6 - Solve Problems Using Linear Systems   ↳ Word Problems (whole playlist)   ↳ The King's Cupcakes (elimination)   ↳ The King's Potato Chips (elimination)   ↳ The King's Potato Chips Again (substitution) Read examples 2&3 on pgs. 34-35Do: pg. 39 # 8, 11, 15And: pg. 55 # 10, 11, 12, 16, 17* Quiz THURSDAY on Subst. & Elimin. Tues. Sept. 17th&Wed. Sept. 18th { Quiz on Substitution & Elimination }1.7 - Exploring Linear Systems         Start your review (below) as well - why not! Read: pg. 57-58Do: pg. 59 # 1, 3, 6Determine the number of solutions for the following linear systems without technology. Show your work and explain your answer.a) y = 3x − 7 and 3x + y = 8b) 2x − y = 5 and 6x − 3y − 18 = 0c) x + 4y − 12 = 0 and 8y = −2x + 24 Thurs. Sept. 19th ➯  Review for the testTest Date:  **  TUESDAY SEPT. 24th  **I decided to move the test to Tuesday to give us an extra day to prepare.Practice TestPractice Test SolutionsSuggested after completing the test:Read & Do:  Pg. 68-70  # 1-9Review slope, equations of lines, solving equations, and Pythagorean Theorem Review Pg. 62 # 2, 4, 5, 6, 7, 9, 12, 14, 15, 16, 18 Online Review PracticeEXTRA PRACTICE SHEETSDetermine the number of solutions for the following linear systems. Show your work and explain your answer. Chapter Self-Test pg. 64 # 1-9 ReviewFriday Sept. 20th&Mon. Sept. 23rd