1/24

ALGEBRA II UPDATED 3/24 UNIT 5 – Inequalities (3 Weeks)

Period 1-2

Period 4-6

Assignments

3/20 W

3/22 Fri

Homework: � None Due

Classwork:

� Graphing Linear Equations review (y intercept, plotting slope, etc)

3/25 M

3/26 Tu

Homework Due: � Watch video and take notes on C1 and C2 – Graphing and Writing Linear Inequalities

Classwork:

� IXL C1 to 80% � IXL C2 to 80% � Watch video and take notes on C4 and C5 - Solve and Graph Linear Inequalities

REDO – Unit 4 Assessment Tutoring and Support at Lunch 3/25 and 3/26. No test redo these days.

3/27

W 3/26 Th

Homework Due: � Watch video and take notes on C4 and C5 - Solve and Graph Linear Inequalities

Classwork:

� IXL C4 to 80% � IXL C5 TO 80%

REDO – Unit 4 Assessment – In Class on 3/27 or 3/28. Lunch or 7:30am on 3/27 only.

SPRING BREAK Friday, March 29 – Sunday, April 7

4/8 M

And

4/10 W

And 4/12

4/9 Tu

And

4/11 Th

And 4/16

Homework Due: � None

Classwork:

� Review Activity – IXL C1 – C5 � Watch Video/Notes for IXL C6 and C7 – Solve and Graph Absolute Value Inequalities � IXL C6 to 80%

REDO – Unit 4 Assessment – Lunch 4/8, 4/9, 4/10, 4/11 from 12:45pm – 1:15pm (1-2 assessments is max per day you will have time to make up). Not in class!

11th Graders – CAASP Assessment Mon to Thurs.

2/24

4/15 M

4/18 Th

Homework Due: � Watch Video/Notes for IXL C8 – Graph a two variable inequality

Classwork:

� In Class Review – Graphing Inequalities � IXL C7 to 80% � IXL C8 to 80%

4/17 W

4/19 F

Homework Due: � Watch Video/Notes for IXL C9 – Graph Solutions to two variable inequalities

Classwork:

� IXL C9 to 80%

DELETED Notes and IXL for C3 on Linear Inequality Word Problems. We will move this to next Unit.

4/22

M

4/23 Tu

Homework Due: � Complete any Missing IXL or Notes for Unit 4

Classwork:

� Assessment Review – Unit 4 Assessment

4/23 W

4/24 Th

Homework Due: � Study for Assessment

Classwork: Unit 5 Assessment

� #13 - Solve and Graph Linear Inequalities and Word Problems (IXL C1, C2, C4, C5) � #14 – Solve and Graph Absolute Value Inequalities (IXL C6 – C7) � #15 – Solve and Graph Two Variable Inequalities (IXL C8-C9)

3/24

REVIEW - Graphing Linear EQUATIONS

4/24

Notes C.1 Graph a linear inequality in one variable C.2 Write inequalities from graphs Graphing inequalities – symbols Example 1: Graph x ≤ 7 Practice 1A: Graph x > −3 Practice 1B: What inequality does the number line show?

5/24

6/24

Example 2 Graph x < 2 or x > 4 Practice 2A Graph x ≤ −6 or x > −2 Example 3A Graph 0≤ 𝑥 ≤ 4 Example 3B Graph 0> 𝑥 ≤ 3

7/24

Example 3C Graph -2 ≤ 𝑥 ≤ 7 Practice 3A Graph -4 > 𝑥 ≤ 2 Practice 3B Graph 𝑥 ≥ 5𝑜𝑟𝑥 ≤ 0

8/24

Practice 3C What compound inequality does the graph describe?

Practice 3D What compound inequality describes the graph?

9/24

Notes C.4 Solve linear inequalities C.5 Graph solutions to linear inequalities Review When adding or subtracting the inequality sign will _________________________. When dividing by a positive number the inequality sign will __________________. When dividing by a negative number the inequality sign will __________________. Example 1 Solve for s – when you isolate the variable and divide by positive numbers 4(𝑠 + 15) + 6 < 14 Practice 1 Solve for y – when you isolate the variable and multiply or divide by positive numbers 12(𝑦 + 15) + 6 < 14

10/24

Example 2 Solve for p – when you isolate the variable and divide by negative numbers. Graph the solution. −16(𝑠 + 15) ≥ 16 Practice 2 Solve for x – when you isolate the variable and divide by negative numbers. Graph the solution. −5(𝑥 + 15) < 30

11/24

Practice 3 Solve for k – when a variable is on both sides of the equation. Graph the solution. −6(−8𝑘 + 20) ≥ −5(−10𝑘 + 20) − 2 Example 3 Solve for r – when a variable is on both sides of the equation. Graph the solution. −(−8𝑟 + 4) + 2 ≤ −5(−2𝑟 + 20)

12/24

Example 4 Solve for v – when one of the parts of the equation is a fraction. Draw the graph.

−6 <𝑣 − 193 ≤ 4

Practice 4 Solve for z – when one of the parts of the equation is a fraction. Draw the graph. 𝑔 + 192 ≤ 5𝑜𝑟𝑔 + 10 + 4𝑔 ≥ 10

13/24

Notes C.6 Solve absolute value inequalities C.7 Graph solutions to absolute value inequalities For each problem write a compound inequality. Example 1 Solve for t and write your solution as a compound inequality. Graph the compound inequality. −|𝑡| ≤ −1 Practice 1 Solve for r and write your solution as a compound inequality. Graph the compound inequality. −|𝑟 + 1| ≤ 5

14/24

Example 2 Solve for t and write your solution as a compound inequality. Graph the compound inequality. 5 − 3|𝑡 − 8| ≤ −1 Practice 2a Solve for v and write your solution as a compound inequality. Graph the compound inequality. −2|6𝑣| + 9 < −5

15/24

Practice 2b Solve for x and write your solution as a compound inequality. Graph the compound inequality. |4𝑥 + 7| + 8 < 12

16/24

Notes C.8 Graph a two-variable linear inequality Review When graphing inequalities when would you use a solid line? When graphing inequalities when would you use a shaded line?

17/24

Example 1 Graph the inequality. Select the line to switch between solid and dotted. Shade the appropriate region. 𝑥 ≥ 1

Practice 1 Graph the inequality. Select the line to switch between solid and dotted. Shade the appropriate region. 𝑦 > 2

18/24

Example 2 Graph the inequality. Select the line to switch between solid and dotted. Shade the appropriate region. 3𝑥 + 𝑦 < 7

Practice 2a Graph the inequality. Select the line to switch between solid and dotted. Shade the appropriate region. 5𝑥 + 𝑦 > 4

19/24

Practice 2b Graph the inequality. Select the line to switch between solid and dotted. Shade the appropriate region. 5𝑥 + 2𝑦 > 12

20/24

REVIEW - Graphing Linear INEQUALITIES

21/24

Notes C.9 Graph solutions to two-variable absolute value inequalities Example 1 Graph the inequality. Select the line to switch between solid and dotted. Shade the appropriate region. 𝑦 > |𝑥|

22/24

Practice 1 Graph the inequality. Select the line to switch between solid and dotted. Shade the appropriate region. 𝑦 ≤ |−4𝑥 + 4|

23/24

Example 2 Graph the inequality. Select the line to switch between solid and dotted. Shade the appropriate region.

𝑦 + 8 ≤16|𝑥| + 2

24/24

Practice 2 Graph the inequality. Select the line to switch between solid and dotted. Shade the appropriate region. 5𝑦 ≤ 15|𝑥| − 25

Note: Notes for C3 will be provided to you closer to when the Video Notes are due. If you are absent and need a copy be sure to check lachsa.net/cholko à SPRING H Algebra page for notes.