The Math Path
Student Activity Booklet
Answers
Math Match
Match the math class to the description by writing the correct letter in the shape next to the word.1. Calculus – E.
A math class where students study the rate of change over periods of time and intervals. Example: City planners use this method to study traffic flow through busy intersections over periods of time to decide where to place traffic lights.
2. Algebra I –C.
A math class where students learn to record their thinking using symbols. Students also develop general rules for patterns of ideas. Example: when engineers are planning the layout of streets in a brand new housing addition, they use their knowledge of slopes and linear equations to know which streets are intersecting, parallel or perpendicular.
3. Algebra II – M.
A math class where students learn to describe data sets with graphs using graphing calculators. Example: pilots use these mathematical concepts to program their flight guiding systems to control paths for approaching and landing on particular runways.
4. Geometry – A.
A math class where students learn about the world using two-dimensional and three-dimensional shapes. Students discover the relationships of shapes to many careers. Example: Fashion designers create their latest runway collections by cutting fabric at specific angles in order to put together garments.
5. Trigonometry – G.
A math class where students learn about triangular relationships. Example: astronauts use this method to determine distances between planets and to chart their paths through the solar system.
6. Physics – J.
A class where students learn how to use math and science to discover the effects of change on machines and other moveable objects. Example: when building a dam, an electrical engineer uses this method to control water flow to supply electric power to a city.
7. Statistics – B.
A math class where students learn to use algebraic thinking and calculus to manipulate data. Example: general managers and baseball scouts study player statistics in order to make decisions on the abilities of players. Managers, catchers, pitchers -- they all study statistics of batters on opposing teams to figure out how best to pitch to them and position the players on the field.
8. Degree – D.
What you earn from a college, university or professional school upon completion of a program of study
9. Bachelor’s degree – L.
Next level up from an associate degree. Requires two more years of study at a four-year college or university.
10. Doctoral degree – F.
Graduate degree – next level up from a master’s degree – requires very specialized coursework and a lot of research and writing.
11. Associate degree – I.
Degree earned by students after completing two years of study in a specific program at a two-year or community college.
12. Space math – H.
A math class very similar to Earth math, except students not only have to learn fractions, they have to herd them, too.
13. Master’s degree – K.
Graduate degree – next level up from a bachelor’s degree. Requires two more years of study at a university
Fill in the Blank
In the DVD, Mr. Math describes different Math Paths for each of our characters. Fill in the blanks with what you learned.
List the six high school math courses Mr. Math describes in the DVD.
1. Calculus
2. Algebra I
3. Algebra II
4. Geometry
5. Trigonometry
6. Statistics
7. Physics (Uses math and science together to study the effects of change on machines and moveable objects.)
There are numerous choices along The Math Path. List some of the math classes the “future” characters needed to be successful in their careers.
Any three of the following:
1. Data analysis
2. Statistics
3. Probability
4. Algebra
5. Calculus or Analytical Calculus
6. Geometry
7. Trigonometry
8. Physics (Uses math and science together to study the effects of change on machines and moveable objects.)
List three of the many college degrees mentioned in the DVD.
Any three of the following:
1. Bachelor’s of Science in Environmental Science
2. Bachelor’s of Science in Engineering
3. A.A.S. in Environmental Science or Associate in Applied Science in Environmental Safety
4. Bachelor of Science degree in multimedia design
5. Associate in Applied Science in digital media animation and design
6. Bachelor’s degree in animal science
7. Doctorate of veterinary medicine
8. Bachelor’s degree in business management
9. Associate degree
10. Associate degree in applied science.
11. Bachelor’s degree
12. Master’s Degree
13. Graduate degree
14. Juris doctorate
15. Doctorate
You Do the Math
Simplify each of the following math expressions using the order of operations. Then write the corresponding letter on the line in front of the expression. The letters will spell out a message.
Order of Operations
Rule 1: First perform any calculations inside parentheses.
Rule 2: Next perform all multiplications and divisions, working from left to right.
Rule 3: Lastly, perform all additions and subtractions, working from left to right.
1st Word
10 x (8-4) = 40 (S)
20 - (3+3) = 14 (T)
15 + 6 x 2 = 27 (A)
15 + 2 x 5 = 25 (R)
20 ÷ 2 + 4 = 14 (T)
2nd Word
72 – 5 x 4 = 52 (Y)
30 ÷ (8 + 7) = 2 (O)
11 x 5 - 11 = 44 (U)
8 x 2 + 9 = 25 (R)
3rd Word
3 x (3 + 2) = 15 (J)
(10 – 6) ÷ 2 = 2 (O)
12 + 8 x 4 = 44 (U)
40 – (10 + 5) = 25 (R)
11 + 9 x 5 = 56 (N)
26 – 6 ÷ 3 = 24 (E)
(20 + 6) x 2 = 52 (Y)
4th Word
4 ÷ (9 – 7) = 2 (O)
(4 + 3) x 8 = 56 (N)
5th Word
4 x 4 -2 = 14 (T)
18 + 3 - 4 = 17 (H)
6 x (3 + 1) = 24 (E)
6th Word
40 ÷ 2 + 11 = 31 (M)
8 x 4 – 5 = 27 (A)
5 x 2 + 4 = 14 (T)
27 + 7 ÷ 2 = 17 (H)
7th Word
100 ÷ (14 – 4) = 10 (P)
33 – 3 x 2 = 27 (A)
(5 + 2) x 2 = 14 (T)
9 + 16 ÷ 2 = 17 (H)
8th Word
103 – (6 x 14) = 19 (I)
(50 – 43) x 2 = 14 (T)
(12 x 10) – 80 = 40 (S)
9th Word
10 x 5 + 2 = 52 (Y)
6 x 3 - 16 = 2 (O)
12 x 3 + 8 = 44 (U)
(8 – 3) x 5 = 25 (R)
10th Word
40 ÷ 2 + 5 = 25 (R)
7 x 2 - 12 = 2 (O)
3 x (6 + 3) = 27 (A)
18 x 6 ÷ 2 = 54 (D)
11th Word
25 ÷ 5 + 9 = 14 (T)
(32 – 6) ÷ 13 = 2 (O)
12th Word
4 x 8 + 8 = 40 (S)
2 x (34 – 12) = 44 (U)
5 x 5 - 3 = 22 (C)
54 ÷ 3 + 4 = 22 (C)
3 x (16 – 8) = 24 (E)
2 x 15 + 10 = 40 (S)
32 ÷ 4 x 5 = 40 (S)
Solve: Start your journey on the math path. It’s your road to success!
Find The Math Path
Draw a continuous line that goes through all the circles. Start on any circle and move horizontally or vertically. Your line cannot go diagonally. Your line cannot cross over any part of the line you have already drawn. When you go through a white circle, the line cannot turn in that square. The line MUST turn either in the square before or the square after the white circle (or both quares). When you go through a black circle, it MUST turn in that square. The line cannot turn in the square before or the square after a black circle.
