SDMAT04
Assignment number: 04
PORTFOLIO
Year: 2022
1.1 “Why is planning in the teaching of Mathematics important? Discuss by giving at
least 5 valid arguments.” One of the most essential talents you can develop is the
ability to organize lessons that are effective. A solid lesson plan is essential for a
variety of reasons, not the least of which is the hope that learning will occur during
the lesson. Not only Is this because well-planned lessons produce engaging,
difficult, and not only because planning is intimately related to the equally important
The difficult (but frequently more obvious) problem of efficient classroom
management.
• A successful lesson plan that actively engages the class will make you feel more
confident.
, • In the classroom and provides you with a sound basis for managing the class
successfully. A good lesson plan goes a long way towards preventing classroom
problems.
• It provides teachers with the chance to deliberate over the lesson they choose to
teach.
• It provides teachers with the chance to ponder over the course objectives,
• It provides teachers with the chance to carefully consider the lesson objectives they
select.
1.2 Using the seven essential elements that a teacher should consider when
planning a quality lesson for a mathematics class, describe how you would plan a
lesson on teaching ‘the hyperbolic graph, 7 essential elements for planning for
hyberbolic lesson
1. Begin with maths
• mention new ideas the learner must construct Based on the information provided,
the learner must consider how a hyperbolic graph should seem and how it differs
from other graphs. To visualize the relationship in terms of graphs, they must
consider hyperbolic functions.
2. Consider learners -accessible ideas but not straightforward.
• They must know how constant variable a and q affect the graph also the effect of p
and q on the graph.
3. Decide on a task
• Not too much detail Determine the shape of the graph when a change and showing
all the asymptotes. Write down the asymptotes and draw them on a set of axes.
• Determine the y-intercept: let x = 0 Determine the x-intercept:
• let y = 0
• Draw the newly formed graph Vertical asymptote: x + p = 0 Horizontal asymptote: y
=q
4. Predict what will happen
Predict difficulties and strategies to migrate.
• When a is higher or less than 1, leaners will struggle to determine the range of the
graph. They should be aware that the graph will lay further away from the axes. As a
result, learners must understand that if the supplied value of the constant an is
positive, the range will be different; nevertheless, when the constant an is negative,
the only thing that must be understood is how the constant an affects the graph.
5. Articulate learner responsibility. -Learners should report/discuss ideas.
• During the lesson presentation, learners will have the opportunity to contribute their
thoughts on how to approach the topic or answer the questions. The teacher also
Assignment number: 04
PORTFOLIO
Year: 2022
1.1 “Why is planning in the teaching of Mathematics important? Discuss by giving at
least 5 valid arguments.” One of the most essential talents you can develop is the
ability to organize lessons that are effective. A solid lesson plan is essential for a
variety of reasons, not the least of which is the hope that learning will occur during
the lesson. Not only Is this because well-planned lessons produce engaging,
difficult, and not only because planning is intimately related to the equally important
The difficult (but frequently more obvious) problem of efficient classroom
management.
• A successful lesson plan that actively engages the class will make you feel more
confident.
, • In the classroom and provides you with a sound basis for managing the class
successfully. A good lesson plan goes a long way towards preventing classroom
problems.
• It provides teachers with the chance to deliberate over the lesson they choose to
teach.
• It provides teachers with the chance to ponder over the course objectives,
• It provides teachers with the chance to carefully consider the lesson objectives they
select.
1.2 Using the seven essential elements that a teacher should consider when
planning a quality lesson for a mathematics class, describe how you would plan a
lesson on teaching ‘the hyperbolic graph, 7 essential elements for planning for
hyberbolic lesson
1. Begin with maths
• mention new ideas the learner must construct Based on the information provided,
the learner must consider how a hyperbolic graph should seem and how it differs
from other graphs. To visualize the relationship in terms of graphs, they must
consider hyperbolic functions.
2. Consider learners -accessible ideas but not straightforward.
• They must know how constant variable a and q affect the graph also the effect of p
and q on the graph.
3. Decide on a task
• Not too much detail Determine the shape of the graph when a change and showing
all the asymptotes. Write down the asymptotes and draw them on a set of axes.
• Determine the y-intercept: let x = 0 Determine the x-intercept:
• let y = 0
• Draw the newly formed graph Vertical asymptote: x + p = 0 Horizontal asymptote: y
=q
4. Predict what will happen
Predict difficulties and strategies to migrate.
• When a is higher or less than 1, leaners will struggle to determine the range of the
graph. They should be aware that the graph will lay further away from the axes. As a
result, learners must understand that if the supplied value of the constant an is
positive, the range will be different; nevertheless, when the constant an is negative,
the only thing that must be understood is how the constant an affects the graph.
5. Articulate learner responsibility. -Learners should report/discuss ideas.
• During the lesson presentation, learners will have the opportunity to contribute their
thoughts on how to approach the topic or answer the questions. The teacher also
