GrandyGSMS - Unit 4: Patterns and Relations

UNIT INTRO AND REVIEW

Skills to know from grade 6 for this unit:

Order of operations (so so important!) - click here for a video

Here is a game to practice
Here is a worksheet with answers

Plotting coordinates/ordered pairs on a coordinate plane - Click here for a video

Here is a game for practice
Here is a worksheet with answers

Parts of Algebraic Expressions

Students have learned and practiced the following vocabulary:

Variable
Coefficient
Constant
Term (the different parts of an expression, separated by addition and subtraction symbols)

Here is a video that explains this vocabulary

Click Here for some practice

Evaluating Algebraic Expressions

This week we are learning to evaluate algebraic expressions. Students are given one or two-step expressions with one variable, and given the value of the variable. They must replace the variable in the expression with the given value and follow order of operations to solve. A large emphasis is put on showing your work for every single step, as this sets a foundational skill that will serve them well in future math courses (where they are solving much more complex expressions and equations).

I ask them to follow the following steps when evaluating any type of expression:

1) re-write the expression

2) write the value of the variable

3) replace the variable with the given value and solve by following order of operations (making sure to show one-step at a time).

Here is a video that explains this topic

Here is some online practice

Here is some worksheet practice (including some more challenging problems)

Here is some videos/practice on Khan Academy for students looking for a bit more of a challenge (solving expressions with two variables, including expressions using fractions an decimals)

Patterns and Relationships in Expressions, Tables, and Graphs

The next topic we are exploring and identifying patterns and relationships (relations) in patterns. We will be exploring patterns and relations in images, table of values, and graphs.

Here are a few workbook lessons that walk through writing relationships in patterns, representing them in tables, and graphing them. Unfortunately I do not have answer keys for these lessons, but they are great practice!

Here's some extra resources:

Here is a really cool TEDTalk about the magic of patterns

Here's a great website that discusses Pascal's Triangle.

Here is some practice exploring and identifying patterns and writing pattern rules & Answers

Here is a quick video showing how to graph data from a table of values (created from an algebraic pattern)

Here is a quick Khan Academy lesson on working with tables of values, expressions, and graphs

Here is the answer key to the practice quiz!