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Unit 4B – Foundations of Geometry

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Presentation on theme: "Unit 4B – Foundations of Geometry"— Presentation transcript:

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

2 Warm Up Day 1 Syllogism Cards

3 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

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

5 HW – 2-3 Practice Syllogisms & Proofs

6 Triangle Congruence Theorems
Day 2 Triangle Congruence Theorems

7 Day 2 Warm ups Proof matching activity

8 HW check

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

10 Congruence Complete the practice sheet 4.1 congruence

11 Proving Triangles Congruent

12 Proving triangles congruent
Complete puzzle wkst

13 HW – 1.13 in packet

14 Day 3 Theorems in Proofs

15 Day 3 Warm up

16 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!

17 Let’s practice proofs! Task cards

18 Proving Triangles Congruent
Day 4 Proving Triangles Congruent

19 Day 4 Warm Up

20 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!

21 Practice time! Tiered lesson to earn >21 points!

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

23 Day 5 More Proofs & CPCTC

24 Warm Up Day 5

25 What is CPCTC? Go ahead and laugh…

26 CPCTC Corresponding Parts (of) Congruent Triangles (are)

27 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"

28 Practice time! Tiered lesson to earn >24 points!

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

30 Day 6 Wrap up & Quiz

31 Day 6 Warm Up Complete pg 14 in your packet

32 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!


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