Block 2, Lesson 7, complete.pdf

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Title Page

Grade 9 Applied Block 2: Introduction to Algetiles

Lesson 7: Alge tiles Today's Learning Goal

Learning Goal 15: I can simplify algebraic expressions by collecting like terms. (NA)

Today's Agenda

Minds On

Notebook Lesson Self Check

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Algebra Tiles

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Sep 118:50 AM

When using algebra tiles, you must

remember the representation for

each of the following tiles:

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Nov 171:46 PM

Comparing Algebra Tiles to Integer Tiles

The width of the rectangle is 1 and the length can be represented by x.

The length and width of the large square are the same as x.

1

1 x

x

Therefore, represents x

and _{represents x}2

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Nov 171:46 PM

Representations of Algebraic Terms

4x

3x

2

2x

Action!

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Variable Tiles

What expression do these tiles

represent? Drag the images to the

rectangle for the answer.

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Unit Tiles

What number is represented by the

tiles? Use the to reveal the

answer.

3 ₄

₀

2x1

2 Example

1 Example

2 Example

3 Example

4

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Action Page 3 Action!

Like Terms

X2

X2 X X 1 1

Like algebra tiles must have the same shape.

Like terms must have the same variable and

the same exponent.

Identify each as like or unlike. X2 X X2 X X 1 1 1 and and and and and _X X2 x 2x 5 15 3x 6x and and and

3x and 12x

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Variable examples

Practice

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Variable and constant examples

Practice

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Nov 171:46 PM

Representing Polynomials

3x+1

2x

2

₃

X

2

_3x+2

Click and Drag to add a tile!

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Sep 118:57 AM

Write the algebraic expression that represents

each group of tiles.

Example 1:

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Sep 118:59 AM

Group A

Group B

_{Group A + B}

Combine groups A and B into one group:

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Nov 171:46 PM

Representations of Zero

1 = 0

x

–x

= 0

–x

2

x

2 = 0

Action!

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Sep 119:14 AM

The

Zero Principle

states that

opposite integers cancel each

other out.

Ex:

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Nov 171:46 PM

Multiple Representations of 4x

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Action Page 4

X2 + _X2 ₌

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Action Page 7 Action!

Use your knowledge of collecting like terms to move each

of the following to the TRUE or FALSE category.

TRUE

_{3x x = 2x}

FALSE

3x + x = 4x

x + x = 0

3 + 4 = 1

x + x + x + x = 4x

5x x 3 = x

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Aug 2111:53 AM

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Sep 119:27 AM

Simplify:

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Sep 119:28 AM

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Consolidate/ Debreif Page 2

Consolidate / Debrief

Let's start thinking....

Create 2 different expressions that simplify to 2x 1. You can use

algebraic terms or algebra tiles to illustrate your answer.

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Consolidate /Debrief Page 1

Collecting like terms

Consolidate / Debrief

Block 2, Lesson 7, complete.pdf

When using algebra tiles, you must

remember the representation for

each of the following tiles:

Comparing Algebra Tiles to Integer Tiles

1

1

1

x

x

x

Representations of Algebraic Terms

4x

3x

­2x

What expression do these tiles

represent? Drag the images to the

rectangle for the answer.

What number is represented by the

tiles? Use the to reveal the

answer.

3

­4

0

2x­1

­2

Example

1

Example

2

Example

3

Example

4

Like Terms

Like algebra tiles must have the same shape.

Like terms must have the same variable and

the same exponent.

Practice

Practice

Representing Polynomials

3x+1

­2x

­3

X

­3x+2

Write the algebraic expression that represents

each group of tiles.

Example 1:

Group A

Group B

Group A + B

Combine groups A and B into one group:

Representations of Zero

–x

x

The

Zero Principle

states that

opposite integers cancel each

other out.

Ex:

Multiple Representations of 4x

Use your knowledge of collecting like terms to move each

of the following to the TRUE or FALSE category.

3x ­ x = 2x

FALSE

­3x + x = ­4x

­x + x = 0

­3 + 4 = 1

x + x + x + x = 4x

5x ­ x ­ 3 = x

Simplify:

Let's start thinking....

Create 2 different expressions that simplify to 2x ­1. You can use

algebraic terms or algebra tiles to illustrate your answer.

Collecting like terms

rule

1. identify like terms

2. move or collect them together

2x

₄

₀

2x1

2

2x

₃

_3x+2

_{Group A + B}

_{3x x = 2x}

3x + x = 4x

x + x = 0

3 + 4 = 1

5x x 3 = x

Create 2 different expressions that simplify to 2x 1. You can use

3. add or subtract the numerical coefficient

6

5x

3

7x