Still Confused?

Try reviewing these fundamentals first

Still Confused?

Try reviewing these fundamentals first

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Start now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started Now- Intro Lesson: a2:08
- Intro Lesson: b11:33
- Intro Lesson: c2:58
- Intro Lesson: d2:46
- Lesson: 1a1:06
- Lesson: 1b1:33
- Lesson: 2a1:43
- Lesson: 2b2:07
- Lesson: 3a3:23
- Lesson: 3b5:09
- Lesson: 4a3:28
- Lesson: 4b3:11
- Lesson: 4c5:46
- Lesson: 4d2:56

In this lesson, we will learn:

- T-table are tools for keeping track of patterns and can help you predict the next terms in the pattern
- There are growing patterns and shrinking patterns involving figures and blocks/line segments/shapes or more realistic problems involving time and money

- A T-table is a table with 2 columns (or more) that keeps track of patterns.

- A
**T-table**is a table with 2 columns (or more) that keeps track of patterns. - The second column (right) keeps track of the number of things being counted (ex. blocks, line segments, dollars, etc.)

- The two types of patterns you will see in T-tables are:
**growing patterns**where the numbers in the pattern are*getting bigger*(increasing) in each successive line of the T-table**shrinking patterns**where the numbers in the pattern are*getting smaller*(decreasing) in each successive line of the T-table

Example: a growing pattern with blocks starts with a 4-block figure and adds 2 each time to make the next figure has a T-table filled out like this:

- T-tables allow you to
**predict**and calculate the next**terms**in the pattern - Using the previous block example, you can continue the pattern even if you don’t have pictures of the next figures (4
^{th}and 5^{th}figures):

- The same idea will apply for a shrinking pattern, but the relationship between each row will be subtracting an amount instead of adding.

- IntroductionIntroduction to Showing Patterns in T-tables:a)What is a T-table?b)How do you show a growing pattern in a T-table?c)How do you show a shrinking pattern in a T-table?d)Summary of patterns in T-tables
- 1.
**T-table block patterns: addition**

The T-table shows a growing pattern of blocks. How many blocks are added to make a new figure each time?a)Fill in the circles

b)Fill in the circles

- 2.
**T-table block patterns: extending a growing pattern**

Extend the number pattern in the T-table. How many blocks are in the 5^{th}figure?a)

b)

- 3.
**T-table line segment patterns**

Complete the growing pattern by drawing line segments. Complete the next figures and fill in the rest of the T-table.a)

b)

- 4.
**T-table patterns: word problems**

Complete the T-table for the scenario and answer:a)If Jamie makes $11 every hour that he works at a hot dog stand, how much will he earn for 5 hours of work?

b)Anna is buying trading card packs. She really wants to find a rare card! After buying her first pack, she has $37 left in her wallet. If every card pack is $5, how much money will she have left over after buying the 5th pack?

c)Garrett makes a bracelet design using trapezoids and triangles. At each stage, two triangles and a trapezoid are added. If there are 12 triangles, how many trapezoids were used?

d)Kiera makes an increasing pattern with blocks. The figures in sequence use: 4 blocks, 7 blocks, 10 blocks, and then 13 blocks. After making the fourth figure, she has 15 blocks left. Does Kiera have enough blocks to make the 5^{th}figure?