Algebra 1 1-4 Guided Practice: Properties of Real Numbers

2

Solve It! Tell whether the pair of expressions is equal.

2

Solve It! Tell whether the pair of expressions is equal.

2

Solve It! Tell whether the pair of expressions is equal.

2

Solve It! Tell whether the pair of expressions is equal.

2

Solve It! Tell whether the pair of expressions is equal.

2

Solve It! Tell whether the pair of expressions is equal.

10

Take Note: Define equivalent expressions.

10

Take Note: Provide an example of two equivalent expressions.

10

Take Note: Describe the commutative properties of addition and multiplication.

10

Take Note: Describe the associative properties of addition and multiplication.

10

Take Note: Describe the identity properties of addition and multiplication.

10

Take Note: Describe the zero property of multiplication.

10

Problem 1 Got It?

10

Problem 1 Got It?

10

Problem 2 Got It?

10

Problem 3 Got It?

10

Problem 3 Got It?

10

Problem 3 Got It?

10

Take Note: What is deductive reasoning?

10

Take Note: What is a counterexample?

10

Problem 4 Got It? Reasoning: Is the statement true or false? If it is false, give a counterexample. If true, use properties of real numbers to show the expressions are equivalent.

For all real numbers j and k, j⋅k = (k + 0) ⋅ j.

10

Problem 4 Got It? Reasoning: Is the statement true or false? If it is false, give a counterexample. If true, use properties of real numbers to show the expressions are equivalent.

For all real numbers m and n, m(n + 1) = mn + 1.

10

Solve It! Tell whether the pair of expressions is equal.

Solve It! Tell whether the pair of expressions is equal.

Solve It! Tell whether the pair of expressions is equal.

Solve It! Tell whether the pair of expressions is equal.

Solve It! Tell whether the pair of expressions is equal.

Solve It! Tell whether the pair of expressions is equal.

Take Note: Define equivalent expressions.

Take Note: Provide an example of two equivalent expressions.

Take Note: Describe the commutative properties of addition and multiplication.

Take Note: Describe the associative properties of addition and multiplication.

Take Note: Describe the identity properties of addition and multiplication.

Take Note: Describe the zero property of multiplication.

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Take Note: What is deductive reasoning?

Take Note: What is a counterexample?

Problem 4 Got It? Reasoning: Is the statement true or false? If it is false, give a counterexample. If true, use properties of real numbers to show the expressions are equivalent.For all real numbers j and k, j⋅k = (k + 0) ⋅ j.

Problem 4 Got It? Reasoning: Is the statement true or false? If it is false, give a counterexample. If true, use properties of real numbers to show the expressions are equivalent.For all real numbers m and n, m(n + 1) = mn + 1.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Problem 4 Got It? Reasoning: Is the statement true or false? If it is false, give a counterexample. If true, use properties of real numbers to show the expressions are equivalent.

For all real numbers j and k, j⋅k = (k + 0) ⋅ j.

Problem 4 Got It? Reasoning: Is the statement true or false? If it is false, give a counterexample. If true, use properties of real numbers to show the expressions are equivalent.

For all real numbers m and n, m(n + 1) = mn + 1.