In November 2024
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Decompose
(i)x^4-x^3-2x^2+4x+1/x(x-1)^2
(5)
into partial fractions (show all the steps)
A frog jumps and takes 2 seconds to land. The path of the frog’s flight is best modeled by the graph of f(x) = -x2 + 2x. What is the maximum height of the jump?
Sketch the graph of f: x->x+|x+2| where x€R
using the digits 1942. how can you make it equal 1
1. Discuss the benefits of teaching through problem solving.
2. Explain what is meant by "tasks or problems that can be used for teaching
mathematics".
3. Select an activity from any chapter in Section 2 of the book of Van de Walle et al. How
can the activity be used as a problem or a task for the purpose of teaching through
problem solving?
4. Teaching through problem solving is not only about finding suitable problems and
presenting them to learners. What is the role of the mathematics teacher in a problem
solving lesson?
5. Analyse the value of group work while solving problems.
1. Suppose you have to teach mathematics to a group of learners who have never learnt
mathematics in a problem solving environment. Most of these learners probably won't
know how to solve problems, how to work together in a group and how to take part in
class discussions about the solution of problems. Describe how you will meet these
challenges by paying special attention to the following:
1.1 The role of problem solving in the learning of mathematics. (10)
1.2 The creation of a learning environment (include group work and class discussions) that
should promote problem solving. (10)
1.3 The development of learners into good problem solvers. (10)
2. Write down a detailed lesson plan, using the lesson format for mathematics. You have
to attach copies of the study material used in the lesson. (15)
Suppose you have to teach mathematics to a group of learners who have never learnt
mathematics in a problem solving environment. Most of these learners probably won't
know how to solve problems, how to work together in a group and how to take part in
class discussions about the solution of problems. Describe how you will meet these
challenges by paying special attention to the following:
1.1 The role of problem solving in the learning of mathematics
4.Three women bought notebooks which was advertised to be P27.00 each. Each give P10.00 to the agent, and ask her to bring back P3.00. The agent returns to the desk. where she learns that the notebook is actually only P25.00 each. She gives P25.00 to the desk clerk, returns to the women, and gives back each P1.00, deciding not to tell them about the actual rate. Thus the agent has pocketed P2.00, while each guest has spent 10-1-P9, a total of 2+3-9-P29. What happened to the other peso?
John had 5 cookies and ate 2 how much more cookies does he have left?
Express the function g ,defined by g(x)=1/√x+√x,as a composition of three function
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#339914 on Dec 2023