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MIP2601 Assessment 3 Formative Test 2026

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MIP2601 Assessment 3 Formative Test 2026; 100 % TRUSTED workings, Expert Solved, Explanations and Solutions. For assistance call or W.h.a.t.s.a.p.p us on ...(.+.2.5.4.7.7.9.5.4.0.1.3.2)........... Question 1: Deductive and inductive reasoning Consider the diagram A below and then answer the questions that follow. Diagram A 1.1 Discourses on the nature of two types of mathematical reasoning, namely, inductive and deductive, are well known. 1.1.1 Referring to Diagram A, approach the teaching of the concept: the sum of the angles of a triangle is 180°, discuss how you will teach first through deductive reasoning, and then inductive reasoning. (5) 1.2 Study diagram B below and then answer the questions that follow. ABC is a triangle with angle C = 90° and angle B= 30° . Diagram B Find the value of sin 30° using the sides of the triangle. (Show all your workings) (5) 1.3 Consider the scenario below and then answer the questions that follow. Given a right-angled triangle XYZ with X = 90° and Y = 35°, use the triangle to express the following trigonometric functions in terms of its sides. Show all your workings. 1.3.1 cos 35° (5) 1.3.2 tan 55° (5) Question 2: Application of trigonometry concepts 2.1 Study the scenario below and answer the questions that follow. From a balcony on the third floor of a building, Jon looked up to a church tower on the other side of the street. He measures the angle of elevation to the top of the tower to be 54°, and the angle of depression to the foot of the tower to be 34°. The two buildings are 534 m apart. 2.1.1 Illustrate the information above using a diagram with appropriate labels 2.1.2 Calculate the height of the tower. 2.2 Solve the problems in each of the scenarios below. Show ALL the calculations (5) (5) 2.2.1 Given that the scale on a map is 5cm = 2km, what would be the actual length of a line segment shown on a map as 24cm? (5) 2.2.2 Calculate the value of � in the diagram below. (5) Question 3: Ethnomathematics Read the following statement, and then answer the questions that follow: According to the Curriculum and Assessment Policy Statement, the elements of pattern, precision and beauty in cultural artefacts often use concepts that are present in transformation geometry. 3.1 Illustrate and explain mathematical aspects of any cultural artefact where a reflection is used to develop the pattern 3.2 Illustrate and explain mathematical aspects of any cultural artefact where a rotation is used to develop the pattern (2) (2) 3.3 Illustrate and explain mathematical aspects of any cultural artefact where a translation is used to develop the pattern (2) 3.4 Illustrate and explain mathematical aspects of any cultural artefact where a glide reflection is used to develop the pattern or artistic effect involved GRANDTOTAL=50

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MIP2601
ASSIGNMENT 3 2026

UNIQUE NO.
DUE DATE: 2026

, Mathematics for Intermediate Phase teachers III - MIP2601

Formative Assessment 3 Test 2026

Question 1: Deductive and Inductive Reasoning

1.1.1 Referring to Diagram A, explain how you would teach the concept "the sum
of the angles of a triangle is 180°" first through deductive reasoning and then
through inductive reasoning. (5)

Deductive reasoning approach

Deductive reasoning begins with a known mathematical theorem and applies it to a
specific case. Using Diagram A (an equilateral triangle), I would first explain that one
of the fundamental properties of triangles is that the sum of the interior angles of
every triangle is 180°.

Learners are shown that Diagram A is an equilateral triangle, meaning:

 All three sides are equal (labelled a).
 All three interior angles are equal.

Since the three angles are equal and the total of the interior angles of a triangle is
180°, each angle is:

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