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 1Do:
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
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. 21-25
Do: pg. 26 # 1d, 2c, 3ab, 5ace, 6, 7

Online Practice

Thurs. Sept. 12th

   ↳ 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. 34-35
Dopg. 39 # 8, 11, 15
Andpg. 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. 57-58
Do: pg. 59 # 1, 3, 6

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


Thurs. Sept. 19th
 ➯  Review for the test

Test Date:  **  TUESDAY SEPT. 24th  **
I decided to move the test to Tuesday to give us an extra day to prepare.

Practice Test
Practice Test Solutions

Suggested after completing the test:
Read & Do:  Pg. 68-70  # 1-9
Review 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 Practice
EXTRA PRACTICE SHEETS

Determine the number of solutions for the following linear systems. Show your work and explain your answer.

Chapter Self-Test pg. 64 # 1-9    


Review
Friday Sept. 20th

&

Mon. Sept. 23rd