22
2
1
No of Weeks
Inequalities
Equations and
Numbers and patterns
Topic
6. Solve linear inequalities (and show solution graphically). Interval notation must be known.
5. Solve literal equations (changing the subject of a formula).
4. Solve word problems involving linear, quadratic or simultaneous linear equations.
3. Solve simultaneous linear equations in two unknowns.
2. Solve quadratic equations (by factorisation).
1. Revise the solution of linear equations.
Patterns: Investigate number patterns leading to those where there is a constant difference between consecutive terms, and the general term (without using a formula-see content overview) is therefore linear.
Curriculum statement
Clarification
is not used in th
=1
(C)
(C)
2
y
5. Solve for x: -1 ≤ 2 - 3x ≤ 8
+
(R)
(R)
(R)
3
x
(P)
(R)
4. Solve for r in terms of V, ∏ and h: V =∏r2h
3. Solve for x and y: x + 2y = 1;
2. Solve for m: 2m2 - m = 1
1. Solve for x:
Examples:
2. If the pattern MATHSMATHSMATHS… is continued in this way, what will the 267 letter be? It is not immediately obvious how one should proceed, unless similar questions have been tackled.
1. Determine the 5th and the nth terms of the number pattern 10; 7; 4; 1; …. There is an algorithmic approach to answering such questions.
Examples:
• Arithmetic sequence is done in Grade 12, hence Grade 10.
Comment:
GRADE 10: TERM 1
MATHEMATICS GRADES 10-12
CURRICULUM AND ASSESSMENT POLICY STATEMENT (CAPS)