Unit 3 Objectives: Inequalities, Two Equations, Patterns and Angles

  • Solve systems of linear equations algebraically using substitution and elimination methods (Unit 2)
  • Solve and graph single variable inequalities  (Unit 2)
  • Solve and graph double variable inequalities
  • Develop the problem solving skills of making tables and systematic lists to solve patterns
  • Use knowledge of supplementary angles, complementary angles, vertical angles, and the triangle sum theorem to find missing angles in diagrams
  • Use theorems about corresponding angles and alternate interior angles to verify that lines are parallel and to find missing angles in diagrams
  • Graph parallel lines in y = mx + b form

Day 1

BP (Unit 2)

42, 43, 44, 45, 60 solving single variable inequalities   inequality

 

51  simplify and solve

57  midpoint (you may skip the graph if you wish)

Day 2

BP (Unit 2)

64, 65, 66, 68,  80 solving two equations using substitution

 

72  rate problem

78  equation for multiples

 

 

Day 3

BP (Unit 2)

86, 87, 100 solving two equations using the elimination method (also called the addition method)

 

88 Pythagorean thm.

89  inequality

93  area

103  area and perimeter          with Pythagorean thm. 

Day 4

PS (Unit 3)

2, 3, 4, 13,14 finding patterns

11 solving two equations

 

Day 5

PS (Unit 3)

19  two equations

20  solve

22, 23, 25, 32  making a table to solve a pattern

 

29  two equations

Day 6

PS (Unit 3)

34  protractor

39  angle calculation

43  pattern

49  angles (skip 49f & 49h)

51  supplementary angles

53  ratio/area problem

61  angles

63  triangle property (you will need graph paper)

Day 7

PS  (Unit 3)

67, 68, 71, 73 calculating angles

72  graphing lines and area (graph paper)

74  solve for y

75  two variable inequality

77 area dissection

 

Day 8

PS  (Unit 3)

82  graphing double variable inequalities

83, 85 graphing lines

89, 96, 98 angle calculation

99  sketch

100 solve

101 checking a solution

102 evaluate

Day 9

PS  (Unit 3)

104 angle calculation

105 graphing double variable inequalities

106 parallel lines

107 given area, solve for h

108, 116 angle calculation

119, 120 graphing lines