Year 7 Lockdown Math

Learning Intention: Develop Algebraic skills and understanding.

find and represent relationships in spatial and number patterns, using:
- tables and graphs
- general rules for linear relationships.

Algebraic Patterns

Transum Matchstick Patterns
- Constant Difference = the number of matches added to get the next pattern.
  - Linear patterns always have a constant difference.
  - This constant difference is used in the equation which describes the sequence.
- Zero Term = the number of matches in the first pattern less the constant difference.
- n = the nth term. This is where algebra comes in. We describe the pattern with an equation.
  - If the constant difference is "a" and the Zero Term is "b" then equation will be "an+b"
  - Note that in algebra "an" means "a multiplied by n"
- We can then use this equation to calculate the number of matches of any term in the sequence without having to start from the beginning.
- Level 1 - Linear sequences of matchstick patterns
  - Desmos Graph of the first matchstick pattern.
- Level 2 - Linear sequences of chairs and tables
  - Desmos Graph of the first table and chair pattern.
- When you have done those why not progress to:
- Sequences Level 2 - Find the nth term of linear sequences
- Sequences Level 3 - Find a given term of linear sequences
- Extra for experts
- Geometric Sequences - These are NOT linear, they do NOT have a constant difference.

Algebraic Notation

Collecting Like Terms - This is where you would start. It is important to know which terms are 'like' and can be combined into one term.
Level 1 - Simplify simple expressions by writing them in a more compact form
Level 2 - Simplify some slightly more difficult expressions
Transum Missing Lengths

Remember the aim of 1 to 2 hours per week. The above is expected to be 2 weeks work. If you have completed it all in under 3 hours please proceed to Year 8 Lockdown Maths.

Linear Graphs

See the Year 8 page for the exercises on this.

Rm 26 Math - Term 2 Week 5

Learning Intention: To build fluency and flexibility applying number knowledge and skills.

Monday: Estimate Powers & Roots
Tuesday: Number Puzzle
Wednesday: Math Word Search
Thursday: Solve Algebraic Equations
Friday: Try some extra levels of any of the tasks or find yourself a new task to explore.

Recreational Math

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