__Day 5- Differentiated Instruction , Measurement and Geometry__Today we discussed quite a bit on being a Teacher of Mathematics.

*: to ENRICH learning through different methods with regards to a single concept.*

**This promotes and develops higher order thinking in the process.**

**Great take-home points for me to think about too:**

**Do we compromise ACCELERATION**

**with higher order thinking?**

**Do we rob children of opportunities to think deeper as we push them**

**to learning one new concept after another?**

**Do we overteach our children that we stifle their learning unknowingly?**

Also, we talked about 3 ways we can help a child understand a concept when cannot do so...

1. By Scaffolding

2. By role modelling

3. By changing the task to a less complicated situation

**Many a times, we have to make sure the terms and words**

**we use are clear and specific to avoid confusion!**

__Problem 18__
Find Out: How many different sizes of squares can we make with a set of 7 tangrams?

These are some ways our group explored with and because of the sizes of the tangrams,

the relation of the original square to the largest square is as such:

__Problem 19__
Find Out: Can all types of triangles form 180 degrees?

**Method 1: Through folding, we can clearly see that 3corners: 45+ 45+ 90 = 180 degrees**

**Method 2: By cutting and shifting the parts, 3 corners form a straight line= 180 degrees**

There are probably many more different ways to solve this problem through cutting and folding!

__Problem 20__

Find Out: Can congruent triangles make rectangles?

Also, find the area of a triangle.

By using 3 different folding methods, the triangles can be made in rectangles.

**The formula of area of a triangle : 1/2 X Base X Height**

**is explicitly explained when I saw how**

**2 congruent triangles form a rectangle!**

**1/2 a rectangle X Base X Height!**

**I really feel happy that a mere memorized formula I know**

**actually makes sense and is understood today! :D**

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