B7.2.1 · Strand 2, sub-strand 1

Patterns and Relations

Finding rules for patterns, tables of values, mappings and simple straight-line graphs.

1. Lesson 1 · B7.2.1.1.1 · about 45 min

   Extending Patterns and Relations

   Patterns are everywhere in Ghana: in the repeating blocks of a kente strip, in the rows of chairs set out for a school durbar and in the way a taxi fare climbs with every kilometre. In this lesson you will learn to continue (extend) a pattern made with matchsticks or numbers, fill in tables, and explain exactly how each term differs from the one before it.

2. Lesson 2 · B7.2.1.1.2 · about 45 min

   Describing the Rule of a Relation in Words

   A rule is only useful if you can tell someone else what it is. In this lesson you will learn the language mathematicians use to describe relations — *one more than*, *twice*, *thrice*, *one more than twice* — and use it to describe tables such as the cost of breakfast for workers on a trip or the fare for a taxi ride.

3. Lesson 3 · B7.2.1.1.3 · about 50 min

   Finding the Rule of a Pattern or Mapping and Predicting Terms

   Adding the difference again and again works for the next few terms, but what about the 50th term or the 100th? In this lesson you will find a rule that links each term to its position (the nth term), use mapping rules such as $x \rightarrow 2x + 3$, and work backwards to find a missing input. These skills let you predict any term without listing all the ones before it.

4. Lesson 4 · B7.2.1.1.4 · about 50 min

   The Number Plane: Tables of Values and Straight-Line Graphs

   A rule can be shown as words, as a table and as a picture. The picture is a graph on the number plane, and it lets you see a whole relation at a glance. In this lesson you will locate points using coordinates, build a table of values from a rule such as $y = 2x + 1$, plot the points, join them with a straight line, and read answers from your graph — the same skills used to read maps and fare charts.