Lesson 1 – Rules/Negatives and Fractions

WARM UP #1 – Write the solution to each goal using the given resources.

RESOURCES
9 √ 1 2 − / RESOURCES
2 7 + 0 ^
FORBIDDEN / PERMITTED
2 / REQUIRED
+ / FORBIDDEN / PERMITTED
× / REQUIRED
7
= √√256
SOLUTION GOAL / = 42 ÷ 3
SOLUTION GOAL
RESOURCES
6 8 2 ÷ 3 / RESOURCES
5 2 ^ 2 + − ×
FORBIDDEN / PERMITTED
+ / REQUIRED
^ / FORBIDDEN / PERMITTED / REQUIRED
2 ^ 6
SOLUTION = GOAL / 3 ^ 3
SOLUTION = GOAL

Here are some key rules that you must always keep in mind:

  1. The goal setter gets 2 minutes to set their goal. Use this time to try to figure what they are doing and come up with a solution. If you are the goal setter, create your goal on your paper. Don’t touch the cubes.
  2. The first mover after the goal setter gets 2 minutes. One to write a solution and one to make a move.
  3. Each mover after the first mover gets 1 minute to make a move.
  4. CREATE A SOLUTION before moving any cubes.
  5. You do not want to create any challenges. Instead, you want to be the one to call the challenges. You do not want to create Nows or Impossibles. You want to be the one to call them correctly.
  6. You may not CHALLENGE YOURSELF.
  7. You MUST use every cube in REQUIRED.
  8. Place checks on cubes that are in REQUIRED. Also place checks on cubes in PERMITTED if you are using them. If you need two checks, start bonus cubes away that you think your opponent needs.
  9. You may not call NOW when there is only one more cube in resources. You may challenge IMPOSSIBLE if you feel there is no solution possible.
  10. Anyone who challenges correctly gets a 6. Anyone agree with a correct challenge gets 4. Anyone challenged and the challenged is proven correct, they receive 2.
  11. Anyone who challenges incorrectly gets a 2. Anyone who agrees with a wrong challenge gets a 2. The person who is challenged and the challenge is incorrect gets a 6. The person who disagrees with an incorrect challenge gets a 6.
  12. All players who write a correct solution at last cube procedure gets a 4. Incorrect solutions get a 2.
  13. If no parenthesis are present in the goal or solution, order of operations is used PPRMDAS (1st: Parenthesis, 2nd: Roots and Powers left to right, 3rd: Multiplication and Division left to right, 4th: Addition and Subtraction left to right).
  14. Fractions in this game are written as = a ÷ b
  15. In this game, √a is the same as 2 √ a =
  16. In this game, b √ a is the same as
  17. If you have a – b and a < b, then the difference is negative.

Lesson 1

How do we set negative goals in Equations?

Ex 1

-1 = 1 – 2 = 6 – 7 = 9 – (5 + 5)

Ex 2

What will -3 equal?

-3 =

Write a solution for each equation. Do not repeat the goal.

  1. 0 – 6 =
/
  1. (2 ^ 3) – 16 =
/
  1. 7 – (5 + 6) =

  1. 2 – 5 =
/
  1. (√49) – 9 =
/
  1. 1 – (9 ÷ 3) =

How do we set fractional goals?

Ex 1

= 1 ÷ 2 = 3 ÷ 6 = 8 ÷ (9 + 7)

Ex 2

=

Write a solution for each goal. Do not repeat the goal.

  1. 1 ÷ 4 =
/
  1. (2 ^ 3) – 16 =
/
  1. 19 ÷ 57 =

  1. 2 ÷ 6 =
/
  1. (√49) – 9 =
/
  1. 9 ÷ 45 =