Start at 5, count on 6 more, what is the number? Count on 2 more, what is the number? Count on 10 more, what is the number? Count on 4 more, what is the number? Repeat this 15 and 25 .. what do you notice?

It's a hot summer day, and Eric the Sheep is at the end of a line of sheep waiting to be shorn. There are 50 sheep in front of him. Being an impatient sort of sheep, though, every time the shearer takes a sheep from the front of the line to be shorn, Eric sneaks up two places in line.

Task: Kerri is a contestant in a school spell-a-thon. A contestant receives 3 points for every word spelled correctly. Because of a technical penalty, Kerri loses 5 points. She now has 19 points. How many words has Kerri spelled correctly? Model the problem with algebra tiles and then use the tiles to solve the problem. How can you use the algebra tiles to verify your solution?
(Source: Mike Fulton - Instructional Video)
Practice:

Show using alge-tiles the following problem:
x + 3 = 7
r + 5 = -2
3x – 4 = 5
(Source: Mike Fulton - Instructional Video)

Create models for integer operations e.g. show that (-4) + (+1) = -3; show that 2(-3) = -6
Build algebra tile models for and use your models to explain why expressions are not equivalent.

"Today we are going to experiment with the Tables and Chairs applet and see if we can identify any patterns. Describe any patterns we find both and mathematically. "* answer the question "How do you describe a pattern mathematically?"

Using Virtual Manipulatives to Solve Problems & to Explore ConceptsPatterns & RelationsGrade## Pattern & Relations

Problem or ExplorationVirtual ManipulativePattern of the day Credit: jmeacham.com

Could use Kidspiration: Example

or the virtual manipulative

## There are 20 children in Mrs. Muir's class. Can her students make a pyramid with 6 children on the bottom row?

## Prove your answer with a representation of your work.

## Be prepared to explain to the class how you solved this problem.

Interactive Linking Cubes

88,83,78. What rule matches the number pattern .ie (add 5)

Task: Kerri is a contestant in a school spell-a-thon. A contestant receives 3 points for every word spelled correctly. Because of a technical penalty, Kerri loses 5 points. She now has 19 points. How many words has Kerri spelled correctly? Model the problem with algebra tiles and then use the tiles to solve the problem. How can you use the algebra tiles to verify your solution?

(Source: Mike Fulton - Instructional Video)

Practice:

Alge-Tiles

Algebra tile review

Show using alge-tiles the following problem:

x + 3 = 7

r + 5 = -2

3x – 4 = 5

(Source: Mike Fulton - Instructional Video)

Create models for integer operations e.g. show that (-4) + (+1) = -3; show that 2(-3) = -6

Build algebra tile models for and use your models to explain why expressions are not equivalent.