This is an online webpage designed to go along with Book 2 of *Principles of Mathematics*. (View Book 1 instead.)

Found a resource helpful that’s not listed here? Have a question about the curriculum? Send us an email at info@christianperspective.net.

Have a visual/auditory learner? Need a little more interaction or explanation of the concepts? We now offer a video supplement eCourse, where students can watch videos that go over the lessons and ask the author questions. **Learn more.**

**Chapter 4 – Math Witnessing Video**

**Note: All the links below go to external sights; we have no control over the content, nor is a listing here an endorsement. **Feel free to find other online resources instead–these are just listed here as a convenience.

Below are some sites that offer printable worksheets if your student needs extra practice or drill on a concept.

- http://www.math-drills.com
- http://www.ixl.com/math/grade-8
- http://www.mathmaster.org/worksheet/
- http://www.worksheetworks.com/

Percent problems:

- http://www.ixl.com/math/grade-8 (Look under “Percents.”)

Graphing problems:

**Textbook**

p. 81: “Subtract -3/8” should read “Subtract 3/8”.

p. 42 – Prime number wording should include the word “evenly.”

*“Whole numbers that can’t be evenly divided by any whole number but themselves and 1.”*

p. 50 – On both of the maps, -160^{o} should read -150^{o}.

p. 55 – In the first example, “Remember, UTC-0:300…” should be “Remember, UTC-03:00.”

p. 259 – In the words of the example, it should say “greater than 0” rather than “greater than or equal to 0.”

**Student Workbook/Teacher Guide**

*p. 76 (Worksheet 5.3B), problem 3b*

Question should say “travel 15 miles” as opposed to “travel 5 miles.”

**p. 164, question 5**

Questions b. and c. referring back to 4a should read to refer back to 5a.

**p. 381 (Answers for Worksheet 10.5), problem 1d**

Answer should be x < 55^{o } F.

**p. 381 (Answers for Worksheet 10.5), problem 2d**

Answer should be x ≤ 95.

**p. 398 (Answers for Worksheet 15.4, problem 3a)**

The graph should look like the photo shown here.

**p. 413 (Answers for Quiz 1, problem 3b)**

The answer should read 8,064 *cubic* inches, not *square* inches.

**p. 414 (Answers for Quiz 4, problem 2a)**

The answer should read 120 *cubic *feet, not *square* feet.

**p. 416 (Answers for Quiz 13, problem 3a)**

The answer should be *4*, not *2.*

**p. 418 (Answers to Test 1, problem g)**

The answer key addresses the question “How many cubit feet is the cylinder portion of these 4 silos if the cylinder portion of each one has a radius of 6 ft and a height of 32 ft?”

As the question is worded currently, the answer (p. 418) should include an additional step:

*Bushels in all 4 cylinders* = 14,469.12 ft^{3} • 12 in/1 ft • 12 in/1 ft • 12 in/1 ft • 1 bushel/2,150.42 in^{3} = 11,626.86 bushels

Alternately, the question can be modified to only ask for the volume in cubic feet.

*Note:* The conversion between bushels and cubic feet is found on p. 430.

**p. 420 (Answers for Test 5, problem 3a)**

The column in the table labeled *b* should be -600, 0, 600; the column in the table labeled *p* should be -300, 0, 300.

**Clarification on Quizzes and Tests:**

When students are told they can consult reference sheets, they are allowed to consult *any* reference sheet (p. 423-433) even if fewer page numbers are listed.

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