Equal Sign
Inequalities
Balance & Equivalence
Properties of Operations
Generalized Arithmetic
100

What does the equal sign actually mean?

Answer: What is “is the same as”?

100

The symbol “<” means what?

Answer: What is less than?


100

A level balance shows what?

Answer: What is both sides are equal?


100

Which property says changing order doesn’t change the sum?

Answer: What is the commutative property of addition?


100

Even numbers have how many leftovers when paired?

Answer: What is zero?


200

Students who see the equal sign as “do something” are showing which view?

Answer: What is the operational view?


200

“You must be at least 42 inches tall” means height must be…

Answer: What is ≥ 42?


200

If one orange weighs the same as two apples, what balances one orange?

Answer: What are two apples?


200

Which property says (a + b) + c = a + (b + c)?

Answer: What is the associative property of addition?


200

Is the statement “1/2 is greater than 1/4” always true?

Answer: What is yes (always true)?


300

True or false: 7 + 8 = 10 + 5.

Answer: What is true? (both equal 15)


300

Ernesto has more than 6 cousins. Name one possible number.

Answer: What is any number greater than 6, such as 7?


300

Does 14 + 1 balance with 10 + 5?

Answer: What is yes? (both equal 15)


300

What is the identity property of addition?

Answer: What is adding 0 gives the same number?


300

Adding three consecutive numbers equals 3 times which number?

Answer: What is the middle number?


400

Fill in the blank: 6 + 9 = 10 + ___.

Answer: What is 5?


400

If both sides of an inequality subtract the same number, does the inequality stay true?

Answer: What is yes?


400

Fill in the blank: 21 + 5 = 19 + ___.

Answer: What is 7?


400

Name the property: 6 × (3 + 2) = 6×3 + 6×2.

Answer: What is the distributive property?


400

If you know 4 × 7 = 28, how can you quickly find 7 × 4?

Answer: What is use the commutative property—they're the same?


500

A student who treats the equation like a balance and uses structure is showing which view?

Answer: What is the relational–structural view?

500

Write an inequality for: “5 gift cards and $3 for holders must cost no more than $25.”

Answer: What is 5x + 3 ≤ 25?

500

If one side of an equation is greater and you add the same number to both sides, what happens?

Answer: What is the greater side stays greater?

500

If a student uses 6 is “twice as big” as 3 to solve facts, what are they using?

Answer: What is generalized arithmetic/structure?

500

If the “even keys” (0, 2, 4, 6, 8) don’t work on a calculator, can you still make an even number?

Answer: What is yes, for example 3 + 3 = 6?

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