Florida B.E.S.T. MA.912.LT.4.3
The Standard
Identify and accurately interpret “if…then,” “if and only if,” “all” and “not” statements. Find the converse, inverse and contrapositive of a statement.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students interpret conditional, biconditional, universal, and negated statements in words and symbols. They form the converse, inverse, and contrapositive of a given conditional statement.
What Mastery Looks Like
- Students correctly label the hypothesis and conclusion and rewrite a conditional in all three related forms. They interpret biconditional, universal, and negated statements without changing the intended meaning.
Common Misconceptions
- Students often switch the hypothesis and conclusion when forming the inverse instead of the converse. They may treat a conditional as reversible, read “if and only if” as one direction, or negate “all” as “none.”
How to Assess It
- Use this exit ticket: “If a figure is a square, then it has four sides.” Write its converse, inverse, and contrapositive, then circle the equivalent statement.
Lesson moves
Ways to Teach It
Give pairs clause cards and operator cards, then have them build a statement, its converse, inverse, and contrapositive.
Ask students to explain why “if” does not mean “if and only if,” using a school rule as evidence.
Play a four-corner game where students move to converse, inverse, contrapositive, or negation after seeing each transformed statement.
Analyze a store refund policy and decide which conditional statements are promised, reversed, or unsupported.
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Printable MA.912.LT.4.3 Worksheet
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Related Standards
- MA.5.AR.2.3
Determine and explain whether an equation involving any of the four operations is true or false.
- MA.2.AR.2.1
Determine and explain whether equations involving addition and subtraction are true or false.
- MA.912.LT.4.4
Represent logic operations, such as AND, OR, NOT, NOR, and XOR, using logical symbolism to solve problems.
- MA.1.AR.2.2
Determine and explain if equations involving addition or subtraction are true or false.
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