**New eCourse supplement!
**Need more visual input? Starting for the 2016-2017 school year, an optional eCourse component will be available. The eCourse features short videos to go with each lesson.

**Welcome!**

This is an online webpage designed to go along with Book 1 of *Principles of Mathematics*.

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

**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.

http://www.online-calculator.com/online-abacus/

http://www.online-calculator.com/scientific-calculator/

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:

While we worked hard to avoid errors, a few slipped through. Below is the corrected information for your reference.

**Page 6 – General Notes to Students**

Currently: “This includes writing mixed numbers as improper fractions.”

Should be: “This includes writing improper fractions as mixed numbers.”

**Page 193
**In the example, 1/2 • $3.30 is currently listed as equaling $1.15. The correct amount is $1.65, making the approximation of 15% of $32.50 $4.

**Page 283
**In the gray box at the top, the circles are crossing out the correct proportions. The first proportions on the page are the ones that should be crossed out as incorrect instead.

**Page 330**

Betelgeuse is roughly 650 light years away, or 3,821,350,000,000,000 miles (or 3.82135 x 10e15 miles), not 1,400 light years. However, there are stars 1,400 light years away (our own galaxy is about 100,000 light years across[1]), so the point remains.

**Page 359**

Currently: 16 fl oz = 1 quart (qt)

Should be: 16 fl oz = **1 pint (pt)**

**Instructions on Listing Fractional Answers (pp. 5 and 392)
**Currently: “This includes writing mixed numbers as improper fractions.”

Should be: “This includes writing improper fractions as mixed numbers.”

**Worksheet 6.5, Problem 6a**

a. 650 = 2 x 5 x 5 x 13

130 = 2 x 5 x 13

b. LCM = 2 x 5 x 5 x 13 = 650

c. 180/650 – 65/650

d. 115/650 = 23/130

e. GCF = 2 x 5 x 13 = 130

**Worksheet 8.1, Problem 3**

Rather than comparing the seeds in a spiral, the worksheet should more technically compare the number of spirals in each direction. The concluding paragraph would then read: “What do you notice from exploring the spirals in sunflowers? Each of the sunflowers had a different number of seeds. Yet, when we divided the number of spirals in one direction by the number of spirals in the other, we came up with approximately the same answer every time. Regardless of the number of seeds in a sunflower, the relationship, or ratio, between the two spirals did not significantly change.”

**Worksheet 10.1, Problem 2
**Students should graph -25%, not -0.25%.

**Worksheet 19.2, Problem 4
**The instruction to “use your ruler and compass” should be “use your ruler and protractor.”

**Worksheet 20.7, Problem 7a
**Currently:

0.42(3.14 • 2 • 3.5 cm) + 4.8 cm + 4.8 cm = 9.23 cm

Should read:

0.42(3.14 • 2 • 3.5 cm) + **9 cm** + **9 cm** = **27.23 cm
**

**Page 409, Answer to Worksheet 9.3, problem 2b**

Currently: My rate was 12.5%.

Should be: My rate was 12%.

**Page 421, Answer to Worksheet 15.3, problem 1a
**Currently: 7 ft(7 ft) = 49 sq ft

Should be: 7 in(7 in) = 49 sq in

(inches instead of feet)

**Page 422, Answer to Worksheet 16.4, problem 6a**

The answer should then show the conversion of inches into feet.

450 in x 1 ft/12 in = 37.5 ft

**Page 447
**Currently:

10 decameters / 1,000 meters = 1 hectometer (hm)

10 hectometers = 1 kilometer (km)

Should be:

10 decameters = 1 hectometer (hm)

10 hectometers /** 1,000 meters** = 1 kilometer (km)