Western Cape Education Department
MATHEMATICS
Grade 10 Winter School 2024
Learner Notes
, CONTENT PAGE
A LINE AND PARABOLA
A.1 Straight Line
A.1.1 Revision 3
A.1.2 Sketching the graphs 5
A.1.3 Determining the equation 6
A.2 Parabola
A.2.1 Basic Terminology 7
A.2.2 Sketching the parabola 8
A.2.3 Determine the equation of parabola 9
A.2.4 Interpreting the parabola 10
B. HYPERBOLA AND EXPONENTIAL
B.1 Hyperbola
B.1.1 Revision 11
B.1.2 Sketching the hyperbola 13
B.1.3 Determine the equation of hyperbola 14
C. C.1 Consolidation 15
D. D.1 Word Problems 18
D.2 Inequalities 20
D.3 Literal Equations 23
2024 BOT Grade 10 Winter School Material: Mathematics 2
, A.1.1 STRAIGHT LINE
QUESTION 1
Given: 𝑦𝑦 = 2𝑥𝑥 + 4
1.1 Complete the table:
𝑥𝑥 0
𝑦𝑦 0
1.2 Sketch the graph below:
1.3 Write down the domain?
QUESTION 2
Given: 𝑦𝑦 = −2𝑥𝑥 − 2
2.1 Complete the table:
𝑥𝑥 0
𝑦𝑦 0
2.2 Sketch the graph below:
2.3 Write down the range?
2024 BOT Grade 10 Winter School Material: Mathematics 3
MATHEMATICS
Grade 10 Winter School 2024
Learner Notes
, CONTENT PAGE
A LINE AND PARABOLA
A.1 Straight Line
A.1.1 Revision 3
A.1.2 Sketching the graphs 5
A.1.3 Determining the equation 6
A.2 Parabola
A.2.1 Basic Terminology 7
A.2.2 Sketching the parabola 8
A.2.3 Determine the equation of parabola 9
A.2.4 Interpreting the parabola 10
B. HYPERBOLA AND EXPONENTIAL
B.1 Hyperbola
B.1.1 Revision 11
B.1.2 Sketching the hyperbola 13
B.1.3 Determine the equation of hyperbola 14
C. C.1 Consolidation 15
D. D.1 Word Problems 18
D.2 Inequalities 20
D.3 Literal Equations 23
2024 BOT Grade 10 Winter School Material: Mathematics 2
, A.1.1 STRAIGHT LINE
QUESTION 1
Given: 𝑦𝑦 = 2𝑥𝑥 + 4
1.1 Complete the table:
𝑥𝑥 0
𝑦𝑦 0
1.2 Sketch the graph below:
1.3 Write down the domain?
QUESTION 2
Given: 𝑦𝑦 = −2𝑥𝑥 − 2
2.1 Complete the table:
𝑥𝑥 0
𝑦𝑦 0
2.2 Sketch the graph below:
2.3 Write down the range?
2024 BOT Grade 10 Winter School Material: Mathematics 3
