Thurs., March 8, 2018

MATH – Measurement & Geometry

We followed up yesterday’s grade 5 review of Volume of a rectangular prism with 3D drawings of prisms. Using triangular dot paper, we learned to draw the prisms that we made with linking cubes. ALL the rectangular prisms had a volume of 12 cm cubed.

We discovered that there are 4 rectangular prisms with a volume of 12 cm cubed.

V =  x w x h

V = 1 x 1 x 12

= 12 cm cubed

OR

V = 2 x 2 x 3

= 12 cm cubed

OR

V = 1 x 3 x 4

= 12 cm cubed

OR

V = 1 x 2 x 6

= 12 cm cubed

Mon., March 5th, 2018 – Area of a Triangle

AREA OF A TRIANGLE
We first began to learn about the area of a triangle mid-February. Tomorrow we have a test! Students need to
  • calculate the area of a triangle when the base and height are given
  • find the base or height when the area and other dimension (height or base) are given
  • show an understanding of the relationship between the area of a triangle and a parallelogram or rectangle that has the same base and height
For practice, students can
  • review questions already completed (notebooks came home today)
  •  Calculate the area of any triangle they sketch (just make sure you have a base and height labelled)…and use the formula!
    • try to sketch all sorts of triangles
      • some with acute angles (height labelled with dotted lines inside the triangle)
      • some with one right angle (the height is one of the sides!)
      • some with one obtuse angle (you have to label the height with dotted lines outside the triangle)
  • Draw a variety of rectangles and/or parallelograms, label the height and base…calculate the area
    • …….and then cut them in half from one corner to another to show that the triangle with same height and base has half the area (prove it by calculating the area of the rectangle or parallelogram AND the area of the triangle)

 

BE ABLE TO ANSWER THIS:

What is the relationship between the area of a triangle, and the area of a parallelogram with the same base & height?

What is the relationship between the area of a parallelogram, and the area of a triangle with the same base & height?

 

Other Sample question from class:

How many triangles can you sketch that have an area of 12 cm2?

 

Incorrect – but a try!

 

Correct answer:

 

Are we able to calculate this area? — No….there is no height. The 12cm is a label for the adjacent side (beside the base….but NOT at right angles to the base….height must be at right angles to the base)

 

What if the height is 10cm? Does the triangle have an area of 12 cm2?  — No

A =   b   x h   ÷  2

=  1    x 10  ÷ 2

=  10   ÷   2

=  5 cm2     (NOT 12 cm2)

 

LEVEL 4 strategy for solving for a missing base or height (from previous blog post)

 

Thurs., Feb. 25, 2018 – point form research, area of a triangle

LITERACY – Writing 

Students are writing speeches over the next week and a half. Students have chosen one of the follow:

  • Competitive Speech (Reading/Research mark + Writing mark + Oral Communication mark…….follows HWDSB Oral Communication Festival guidelines —- research is mandatory & ALL WORK IS DONE IN THE CLASSROOM)
  • Non-Competitive Speech – optional research  (Writing mark + Oral Communication mark) follows regular Ministry’s guidelines for assessment & evaluation —— anything marked is done in the classroom…….Reading/Research can be done at home as long as the end result is a point form list of facts/no sentences or organization….ALL ORGANIZATION/WRITING OF SENTENCES/PARAGRAPHS IS DONE IN THE CLASSROOM
  • Non-Competitive Speech – no research/just use background information  (Writing mark + Oral Communication mark) follows regular Ministry’s guidelines for assessment & evaluation —— anything marked is done in the classroom….ALL ORGANIZATION/WRITING OF SENTENCES/PARAGRAPHS IS DONE IN THE CLASSROOM

These excellent examples of point form notes were created by students at home who are researching & writing NON-COMPETITIVE SPEECHES. [Non-competitive speech writers who want to know more about their topic may read articles & books at home, bring back a list of unorganized facts (words & phrases, NOT sentences). They will earn a mark for writing in class (= organizing their facts into subtopics, writing a rough draft, revising and then editing their rough draft, publishing a good copy of their speech) & will earn a mark for their Oral Communication of that speech (oral communication practised in class & at home).]

 

MATH – Area of a Triangle