Conditional Statements
I.SectionObjectives
- Recognize if- then statements
- Identify the hypothesis and conclusion of an if-then statement
- Write the converse, inverse and contrapositive of an if-then statement
- Understand a biconditional statement
II.MultipleIntelligences
- Students need to develop a good understanding of conditional statements and related statements in this section.
Because of this, teach all of the material in the lesson and then you can use the following activity to expand
student understanding. - Divide students into four groups. Assign each group one of the following: converse, inverse, contrapositive
and biconditional. - Then write a conditional statement on the board/overhead.
- Each group needs to work together to write a related statement for the given conditional statement.
- When finished, go over the student answer as a class. Use other peers in the class to do any correcting that is
needed. - Intelligences- linguistic, logical- mathematical, bodily- kinesthetic, visual- spatial, interpersonal, intrapersonal
III.SpecialNeeds/Modifications
- This is a difficult lesson for special needs students to understand because the language and symbols are so
verbal. Many students with language based learning disabilities will find this challenging. Here is one option
on how to scaffold the information in this text. - Alter these definitions and provide an example (in words not symbols) for each.
- Converse- switch the hypothesis and the conclusion of the conditional statement.
- Inverse- add not to the conditional statement to negate it.
- Contrapositive- add not to the converse to negate it.
- Biconditional statement- combine the conditional statement and its converse together.
- Allow time for the students to work with these definitions and to copy them into their notebooks.
IV.AlternativeAssessment
- Use the answers from each group to assess student learning.
- If the students are having difficulty with the activity, then after the first example add another example.
- Repeat as necessary until the students have a good grasp of the information.
Deductive Reasoning
I.SectionObjectives
- Recognize and apply some basic rules of logic
- Understand the different parts that inductive reasoning and deductive reasoning play in logical reasoning
- Use truth tables to analyze patterns of reasoning
Chapter 4. Geometry TE - Differentiated Instruction