# The Great Wall – Challenge 1

**POISONOUS PENGUINS, BABBLING BABOONS, AND ****TERRIBLE TIGERS ARE ATTACKING YOUR SCHOOL!**

Poisonous penguins are waddling menacingly, squawking with their hard, pointed beaks, as they race toward your school. Babbling baboons are push and shove one another, talking nonsensically as they make their way to your school. And, terrible tigers make a deep guttural growl, as they stalk towards your school. But that’s not the worst of it: more animals are coming! You have just been told that there are 39 different animals attacking your school.

Lucky for you – your school architects have designed a wall that grows at the same rate that these animals are growing. Your job, as School Mathematician, is to discover how many bricks are needed to build your wall. If you solve these algebraic problems, you GREAT WALL will protect all the children within your school!

##### Challenge 1a – Watch Me

Draw your Growth Pattern

- Look at the above photo and then watch the video below. I will demonstrate how to copy the first three Sections of the GREAT WALL on your paper.
- Next, based on the pattern, I will demonstrate how to draw the 4th section of the wall.

Now – Press PLAY and watch the 1st step in the math tutorial video below. Then copy these strategies into your notes.

I like to give a special thanks to the photographers at freeimage.com for allowing me to use their pictures.

##### Challenge 1b – Watch Me

Create a T-Chart

- Create a T-Chart that shows the number of blocks needed to build the 7th section.
- Solve for the
**Iterative Function**, which is also the**Co-Efficient**. - Color the Co-Efficient
on each section that you drew.**blue** - Color the constant
on each section that you drew.**red**

Now – Press PLAY and watch the 2nd step in the math tutorial video below. Then copy these strategies into your notes.

##### Challenge 1c – Watch Me

Create a Formula

Use your **iterative function **and the **drawings** to create a formula that will work for any section number. Be sure to illustrate your formula on your drawings.

Test your formula against section 5, section 6, and section 7 to make sure that it agrees with your T-Chart!

Now – Press PLAY and watch the 3rd step in the math tutorial video below. Then copy these strategies into your notes.

##### Challenge 1d – Watch Me

Create a Formula

Your school scientists have just discovered more animals! There are 39 different types of animals attacking you school. You need a section for each animal.

How many blocks are needed to build the 39th section of wall?

Now – Press PLAY and watch the 4th and final step in the math tutorial video below. Then copy these strategies into your notes.