Unit 4B – Foundations of Geometry

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Presentation transcript:

Unit 4B – Foundations of Geometry Day 1 – Syllogism & Word Proofs

Warm Up Day 1 Syllogism Cards

What is syllogism, really? Challenge – who can find the “best” definition? You have 3 minutes to search the internet When time is up, 1 volunteer per group shares at the front board

Word Proofs Me You try Share out / Compare Regroup / Q&A You create Swap with classmate

HW – 2-3 Practice Syllogisms & Proofs

Triangle Congruence Theorems Day 2 Triangle Congruence Theorems

Day 2 Warm ups Proof matching activity

HW check

What is congruence? “Identical in every way” What about identical twins?

Congruence Complete the practice sheet 4.1 congruence

Proving Triangles Congruent

Proving triangles congruent Complete puzzle wkst

HW – 1.13 in packet

Day 3 Theorems in Proofs

Day 3 Warm up

Geometry Theorems Use online resources, your flipbook, the textbook, your notes/packet/assessments, etc to fill in the super useful theorems sheet I will NOT help you fill this out. We already know this stuff. Again, if the wording sounds crazy, look it up!

Let’s practice proofs! Task cards

Proving Triangles Congruent Day 4 Proving Triangles Congruent

Day 4 Warm Up

Let’s review with a video! Proofs are done to prove that corresponding parts of congruent triangles are congruent. Also, the side-side-side postulate, the side-angle-side postulate, and the angle-side-angle postulate are used in proofs to prove that triangles are congruent. Watch me!

Practice time! Tiered lesson to earn >21 points!

HW for Day 4 Earn 9 additional points. You may write on your problem sheet.

Day 5 More Proofs & CPCTC

Warm Up Day 5

What is CPCTC? Go ahead and laugh…

CPCTC Corresponding Parts (of) Congruent Triangles (are)

To use CPCTC you must… FIRST: Prove triangles congruent THEN: Sat parts are congruent with CPCTC CPCTC says that: IF two triangles are congruent THEN their corresponding parts are congruent. Prove the "IF" first, Only then can you use the "THEN"

Practice time! Tiered lesson to earn >24 points!

Day 5 HW Pg 9 in packet “1.15 Examples” Don’t worry about flow proofs – just do what we have done in class.

Day 6 Wrap up & Quiz

Day 6 Warm Up Complete pg 14 in your packet

Let’s get ready for the quiz! Complete pg 13. Ignore the “flow” proof and do it the way we have done in class. You have 15 minutes. GO!