Problem Solving
One of our first problem-solving strategies was to organize information into this.
What is a table?
Evaluate: 4x − 1 when x = 3
What is 11?
Find the next number: 4, 7, 10, 13, ___
What is 16?
The point (0,0) is called this
What is the origin?
Six cats kill six rats in six minutes. How many rats does one cat kill in six minutes?
What is 1 rat?
In a room of 5 people, everyone shakes hands with everyone else once. How many handshakes occur?
What is 10?
Simplify: 5x + 2x
What is 7x?
Find the next number: -2, 3, 8, 13, ___
What is 18?
In y = 3x + 2, the slope is
What is 3?
Solve 2x + 5 = 17
What is x = 6?
When a problem is complicated, we often use the strategy called ______ small.
What is starting small?
Solve: 5x + 3 = 18
What is x = 3?
Is this pattern linear or quadratic? 1, 4, 9, 16, 25...
What is quadratic?
In y = -2x + 5, the y-intercept is
What is 5?
Evaluate 3² + 4²
What is 25?
The Painted Cubes and Checkerboard problems focused heavily on finding these.
What are patterns?
Solve: 3(x − 2) = 12
What is x = 6?
The sequence 1, 3, 6, 10, 15, ... is known by this name.
What are triangular numbers?
A graph that goes uphill from left to right has this type of slope.
What is a positive slope?
What is the next term in 1, 4, 9, 16, 25?
What is 36?
An 8×8 checkerboard contains more than 64 squares. The total number is:
What is 204?
What is the Golden Rule of Algebra?
What algebra rule says that whatever you do to one side of an equation, you must do to the other?
One of our class norms was that mistakes are expected, respected, and ______.
inspected
If y = 2x + 1, what is y when x = 4?
What is 9?
How many red border tiles would a 15 × 15 square have?
What is 56?
(4 × 15) − 4 = 60 − 4 = 56