G-8 Math Q1 Week 2 Activity 3 up to Activity 6

A square with an area of (𝑥²+2𝑥+1) 𝑖𝑛2

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A square with an area of (4𝑥²+4𝑥+1) 𝑖𝑛²

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A rectangle with an area of (𝑥²+5𝑥+6) 𝑖𝑛²

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How did you find the dimensions of square and rectangle using algebra tiles?

1. Always remember that x²-tiles should be placed first, followed by x-tiles, and the last the 1-tiles

2. Arrange these tiles in such a way they form rectangle or square

3. Count the number of x²-tiles, x-tiles, and 1-tiles

• 1, 2, 3

• 3, 2, 1

• 3, 1, 2

• . 2, 1, 3

Do you have other ways in finding the measure of the sides without using algebra tiles?

Yes or No? and How?

• Yes, by factoring the first term and last term

  then multiplying these factors and add them to determine the middle term

• Yes, by factoring the first term only

  then multiplying this factor and add this to determine the middle term

• No, because algebra tiles is the only way to factor a polynomial

• Yes, by factoring the last term only

  then multiplying these factors and add them to determine the middle term

Angelo has a rectangular garden at home with an area of (𝑥²+4𝑥+3) 𝑚². If the length is (𝑥+3) m, what is the width of the garden?

• x+2

• x-1

• x+1

• 3x-1

Write the formula of area of a rectangle and substitute the given.

Area = (length)(width)

𝑥²+4𝑥+3 = (𝑥+3) (_______)

Find the width of the garden

• x-1

• x+1

• 2x+1

• x+2

Lala has a square shaped picture frame measuring (𝑥²+4𝑥+4) 𝑖𝑛². Find its side.

• 2x+2

• x-2

• 2x-2

• x+2

Andrea used a 10 in. by 10 in. paper for the poster making contest. She placed a small square with side x at the right corner below for her name and signature. Find the dimensions of the paper allotted for her drawings.

• (10+x)(10-x)

• (x-10)(x-10)

• (10x-1)(10x-1)

• (10-2x)(x-10)

A 7 m by 7 m landscaping is to be done in one corner of a big square field with side x m. Find the area and dimensions of the field which is not affected by the project.

• Area: 64-x² dimension: (8-x)(8+x)

• Area: 49-x² dimension: (7-x)(7+x)

• Area: 36-x² dimension: (6-x)(6+x)

• Area: 25-x² dimension: (5-x)(5+x)