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# Unit Overview: Collecting, Indices, Expand and Simplify, Solving Equations 1

## Lessons:

16 lessons

### Simplify Expressions by Collecting Like Terms

In this lesson, we will introduce the vocabulary 'like terms' and group numbers and algebraic terms together in expressions to make them simpler.

• 1 Quiz
• 7m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Simplify Expressions by Multiplying Terms

In this lesson, we will simplify the appearance of an expression that uses multiplication of algebraic terms. We will also investigate how we can multiply two algebraic terms.

• 2 Quizzes
• 6m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Expand a Term over a Single Bracket

In this lesson, we will rewrite an expression by multiplying out brackets that involve algebraic terms. We will also look at generating algebraic expressions using area models.

• 2 Quizzes
• 8m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Expand a Term over a Single Bracket including Powers

In this lesson, we will rewrite an expression by multiplying out brackets that involve algebraic terms. We will look at cases where we are multiplying two algebraic terms together, requiring the use of indices. We will also look at generating algebraic expressions using area models.

• 2 Quizzes
• 8m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Expand 2 brackets and simplify expressions (Part 1)

Expand 2 brackets using algebra tiles and/or a grid e.g. where n≥1 4(nx±5)+6(nx±3).

• 2 Quizzes
• 6m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Expand 2 brackets and simplify expressions (Part 2)

In this lesson, we will expand 2 brackets using algebra tiles and/or a grid e.g. where n≥1 4(nx±5)+6(nx±3).

• 2 Quizzes
• 4m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Expand and simplify double brackets

In this lesson, we will expand and simplify double brackets using a grid or other method e.g. (x + 2)(x + 3).

• 2 Quizzes
• 6m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Expand and Simplify Double Brackets (Coefficient of x Greater than 1)

In this lesson, we will expand and simplify double brackets. We will look at specific cases where the coefficient of x is greater than 1.

• 2 Quizzes
• 5m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Multiplication Law for indices

In this lesson, we will investigate the Multiplication Law for indices. We will derive this law and use it to simplify expressions.

• 2 Quizzes
• 8m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Division Law for indices

In this lesson, we will investigate the Division Law for indices. We will derive this law and use it to simplify expressions.

• 2 Quizzes
• 9m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Power Law for Indices

In this lesson, we will investigate the Power Law for indices. We will derive this law and use it to simplify expressions.

• 2 Quizzes
• 10m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Combining Index Laws

In this lesson, we will be applying all three Index Laws to help us simplify more complicated expressions.

• 2 Quizzes
• 7m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Solving one-step equations

In this lesson, we will solve one step equations including those that first need to be formed from a word problem.

• 2 Quizzes
• 4m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Solving two-step equations

In this lesson, we will solve two step equations including those that first need to be formed from a word problem.

• 2 Quizzes
• 4m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Solving equations with brackets

In this lesson, we will solve equations with brackets including those that first need to be formed from a word problem.

• 2 Quizzes
• 5m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Solving equations with unknown on both sides

In this lesson, we will solve equations with an unknown on both sides including those that first need to be formed from a word problem.

• 2 Quizzes
• 5m Video
• Presentation(PPT)
• Worksheet
• Transcript