MIP1502 Assignment 3
Unique number:164948
Unique number:164948 7/5/22 UNISA
, MIP1502 Assignment 3
Copy right 2022
Question 1
1.1 Give the meaning of
1.1.1 Term: Is a constant or the product of a constant and one or more variables.
E.g., 2 (5x + 2y), 3x, 6y and – 10
1.1.2 Pattern: Is a repeated sequence of shapes, pictures or numbers that are
arranged according to a rule
1.1.3 Function: A function describes how a dependent variable changes with
respect to an independent variable. When there are only two variables, we
often summarise them as an ordered pair with the independent variable first:
(Independent variable; dependent variable)
1.2
Numerical Pattern Geometrical Pattern
• Has a constant difference (d) • Has a common ratio (r).
• We subtract term 1 from term 2 to • We divide term 1 by term 2 to get (r).
get (d) • We multiply or divide by (r) term 1 to
• We add or subtract (d) to term 1 to get term 2.
get term 2, or term 4 to get term 5 • We can make a few important
observations about this pattern:
• 4, 7, 10, 13… is a numerical pattern
or a number sequence. Each term of • They alternate their orientation
the sequence has its own position. • They are combined to share one side
The sequence forms a pattern, • The number of trapezoids
because all terms keep to the rule of corresponds with the term number.
this specific pattern, in this case • The number of sides
increasing by 3. Term 1 (T1 or a) is increasesby3eachtime.
important because it is where the • The number sequence emerging it is
pattern starts. Each term’s position 4, 7,10,13…
is
important, but also its value, as well
as the rule of the pattern.
• Term 1 has a value of 4
Luandri Grobler
Copyright 2022
Unique number:164948
Unique number:164948 7/5/22 UNISA
, MIP1502 Assignment 3
Copy right 2022
Question 1
1.1 Give the meaning of
1.1.1 Term: Is a constant or the product of a constant and one or more variables.
E.g., 2 (5x + 2y), 3x, 6y and – 10
1.1.2 Pattern: Is a repeated sequence of shapes, pictures or numbers that are
arranged according to a rule
1.1.3 Function: A function describes how a dependent variable changes with
respect to an independent variable. When there are only two variables, we
often summarise them as an ordered pair with the independent variable first:
(Independent variable; dependent variable)
1.2
Numerical Pattern Geometrical Pattern
• Has a constant difference (d) • Has a common ratio (r).
• We subtract term 1 from term 2 to • We divide term 1 by term 2 to get (r).
get (d) • We multiply or divide by (r) term 1 to
• We add or subtract (d) to term 1 to get term 2.
get term 2, or term 4 to get term 5 • We can make a few important
observations about this pattern:
• 4, 7, 10, 13… is a numerical pattern
or a number sequence. Each term of • They alternate their orientation
the sequence has its own position. • They are combined to share one side
The sequence forms a pattern, • The number of trapezoids
because all terms keep to the rule of corresponds with the term number.
this specific pattern, in this case • The number of sides
increasing by 3. Term 1 (T1 or a) is increasesby3eachtime.
important because it is where the • The number sequence emerging it is
pattern starts. Each term’s position 4, 7,10,13…
is
important, but also its value, as well
as the rule of the pattern.
• Term 1 has a value of 4
Luandri Grobler
Copyright 2022