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Our format is simple and engaging: students are asked a retrieval question, then shown corrective feedback and a multiple-choice mastery question to assess their understanding of the material. Assignments adapt to unique student needs and continue to draw questions until a student has demonstrated mastery.
Provide vocabulary terms for each of the following definitions:
> A. Positive and negative whole numbers, and zero ( … -3, -2, -1, 0, 1, 2, 3, …)
> B. Numbers that can be written as 2k+1, where k is an integer
> C. Numbers that can be written as k*n where k is some integer, and n is a non-zero integer
> D. Numbers that can be written as 2k, where k is an integer
Provide example numbers that are divisible by 3.
What is a proof by exhaustion?
What is a disproof by counterexample?
What is a proof by contradiction?
What is the contrapositive of the following statement:
> If you live in Arizona, then you do not practice daylight savings.
What's the contrapositive of the following claim:
> If your pet is a dog, then your pet is allergic to chocolate.
Translate the following sentence to a conditional statement:
> The sum of any two odd integers is even.
Translate the following sentence to a conditional statement:
> The sum of any two odd integers is even.
(Student response here)
Conditional statements are of the form "if P then Q".
"If x and y are odd integers, then x+y is even."
Translate the following sentence to a conditional statement:
> A rectangle with the same height and width is a square.
If a rectangle *r* has a width *w* and height *h* where *w* and *h* are equal, then *r* is a square.
If a rectangle *r* is a square, then *r* has a width *w* and height *h* where *w* and *h* are equal.
If a rectangle *r* has a width *w* and height *h* where *w* and *h* are not equal, then *r* is a square.
If a rectangle *r* is a square, then *r* has a width *w* and height *h* where *w* and *h* are not equal.
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