Ch. 1 - Problem Solving
A pattern with numbers showing common difference (adding/subtracting).
What is Arithmetic sequence?
A collection of objects called elements
What is a set?
This is a type of rounding that involves the leading digit of each number ONLY.
What is Front-End Approximation?
What is a prime number?
These are positive and negative whole numbers.
What are integers?
A pattern with numbers showing common ratio (multiplying/dividing).
What is Geometric sequence?
This is under/smaller than the set, shown as ⊂.
What is a subset?
This is a numeration system with base 60's.
What is the Babylonian Numeration system?
What is Relatively prime?
This is where the numerator is greater or equal to the denominator.
What is an improper fraction?
Three of the seven problem-solving strategies.
What are...
1. Making a drawing
2. Guessing and checking
3. Making a table
4. Using a model
5. Working backwards
6. Finding a pattern
7. Solving a simpler problem
If the converse and conditional statement are both true, then you can create an 'if & only if' statement.
What is a biconditional statement?
Property of addition problems that shows two numbers can be interchanged.
What is commutative property?
This number is the largest number that divides two or more integers without leaving a remainder. To find, you compute the prime factorization of each number and multiply the numbers that they share with the lowest power shown.
What is Greatest Common Factor?
We use the cross method on two fractions to check to see which fraction is smaller or bigger, or if they're equal.
What is the test for inequality of fractions?
These are Polya's four steps.
1. Understanding the problem
2. Devising a plan
3. Carrying out the plan
4. Looking back
Given: 1. If p, then q. 2. Not q.
Conclusion: Not p is valid ✔️
What is the law of contraposition?
In addition and subtraction, both numbers are increased/decreased by the same amount
What is Equal Differences?
Every composite whole number can be expressed as the product of primes in exactly one way except for the order of the factors in the product.
What is the Fundamental Theorem of Arithmetic?
There is always a fraction between any two fractions.
What is Density of Fractions?