Math 10 - Q2 - Weeks 3-5
Math 10 - Q2 - Weeks 3-5
Math 10 - Q2 - Weeks 3-5
Mathematics
Second Quarter – SLHT
WEEK 3-4-5
SELF-LEARNING HOME TASK (SLHT)
Subject: Mathematics Grade: 10 Level ________ Quarter: 2_ Week: 3_
inscribed angles
A circle is a set of all points in a plane that are equidistant from a fixed point called the
center. It is denoted by the symbol ⨀. It is named by its center. Thus, the circle below is
called circle Z (⨀ Z) since Z is the center.
A radius (plural radii) of a circle is a line segment from the center to any point on the circle.
̅̅̅̅, 𝑍𝑄
In ⨀ Z, the 3 radii are 𝑍𝑇 ̅̅̅̅ and 𝑍𝑆
̅̅̅̅.
A chord is a line segment joining any two points on the circle. The two chords in ⨀ 𝑍 are ̅̅̅̅
𝑄𝑆
̅̅̅̅ and 𝑄𝑅
or 𝑆𝑄 ̅̅̅̅ or 𝑅𝑄
̅̅̅̅.
A diameter is a line segment that passes through the center of the circle. It is also a chord
containing the center and it is considered the longest. It divides the circle into two equal parts.
In ⨀ Z the diameter is ̅̅̅̅
𝑄𝑆 or ̅̅̅̅
𝑆𝑄 . All diameters are chords, but not all chords are diameters. The
length of a diameter is twice the length of the radius and the length of a radius is one-half the
length of the diameter. For example, if the length of a radius is 5 cm then the length of a
diameter is 10 cm because it is twice the radius. If the length of a diameter is 50 cm then the
length of the radius is 25 cm since it is half of a diameter.
1
An arc (symbol: ⌒) is a part or portion of a circle. Example: In ⨀ Z below, the curve from
̂ or
point Q to T is an arc. It is part of the circle and is named arc QT or arc TQ. In symbol 𝑄𝑇
̂.
𝑇𝑄
Figure 1 Figure 2
In figure 1, the central angle is ∠ BAC or ∠ CAB and its intercepted arc is 𝐵𝐶
̂ or 𝐶𝐵
̂.
In figure 2, the inscribed angle is ∠ DEF or ∠ FED and its intercepted arc is 𝐷𝐹
̂ or 𝐹𝐷
̂.
Sum of Central Angles
The sum of the measures of the central angles of a circle with no common interior points is
360 degrees.
2
In the figure at the right, m∠1 + m∠2 + m∠3 + m∠4 + m∠5 = 360.
Also, 𝑚𝐴𝐵̂ + 𝑚𝐵𝐶
̂ + 𝑚𝐶𝐷
̂ + 𝑚𝐷𝐸̂ + 𝑚𝐸𝐴̂ = 360.
(Note: All measures of angles and arcs are in degrees.)
Solutions:
̂ = 50 because it is the intercepted arc of ∠AOB and the
1. 𝑚𝐴𝐵
degree measure of the minor arc is equal to the degree measure of the central
angle which intercepts the arc
2. 𝑚 ∠ DOC = 50 because the degree measure of its intercepted arc 𝐷𝐶̂ is 50 and they are
equal
3. 𝑚𝐵𝐶̂ = 80
̂ is a semicircle so it measures 180°
𝐴𝐵𝐷
𝑚𝐴𝐵̂ + 𝑚 𝐵𝐶 ̂ + 𝑚𝐶𝐷 ̂ = 𝑚𝐴𝐵𝐷
̂
50 + 𝑚𝐵𝐶 ̂ + 50 = 180
100 + 𝑚𝐵𝐶 ̂ = 180
̂ = 180 – 100
𝐵𝐶
̂ = 80
𝑚 𝐵𝐶
4. 𝑚 ∠ AOC = 130
𝑚 ∠ AOC = 𝑚 ∠ AOB + 𝑚 ∠ BOC
𝑚 ∠ AOC = 50 + 80
𝑚 ∠ AOC = 130
̂
5. 𝑚𝐴𝐷𝐵 = 310
̂ is a major arc and its measure is 360 minus the degree measure of the minor arc
𝐴𝐷𝐵
𝑚̂ 𝐴𝐷𝐵 = 360 - ̂ 𝐴𝐵
̂
𝑚𝐴𝐷𝐵 = 360 – 50
̂ = 310
𝑚𝐴𝐷𝐵
Congruent circles are circles with congruent radii.
Example: ̅̅̅̅̅
𝐴𝑀 is a radius of ⨀A
̅̅̅̅
𝑇𝐻 is a radius of ⨀T
̅̅̅̅̅ ≅ 𝑇𝐻
If 𝐴𝑀 ̅̅̅̅, then ⨀A ≅ ⨀T.
3
B. Exercises
Exercise 1
1. 2 minor arcs
2. a major arc
3. a semicircle
4. a chord (not a diameter)
5. an inscribed angle
Exercise 2
Directions: In ⨀ M, ̅̅̅̅
𝑅𝐸 and ̅̅̅
𝐼𝑂 are diameters and 𝑚𝐼𝐸 ̂ = 680.
Find the following measure of an angle or an arc:
1. 𝑚𝑅𝐼̂
2. 𝑚 ∠𝑅𝑀𝑂
̂
3. 𝑚𝑂𝐸𝐼
4. 𝑚 ̂
𝑅𝐸𝑂
5. 𝑚 ∠𝑂𝑀𝐸
C. Assessment/Application/Outputs
Directions: Choose the letter of the correct answer. Write it in your answer sheet.
4
Refer to circle I to answer numbers 11-15. Write your
answer in your answer sheet.
In ⨀I, ̅̅̅̅
𝐿𝑂 and ̅̅̅̅
𝑉𝐸 are diameters and ∠ OIU is a right angle.
Find the measure of the following angle or arc:
11.𝑚 ∠ VIU
12. 𝑚 ̂𝐿𝑉𝐸
13. 𝑚 ∠ LIE
14 𝑚 ∠ EIU.
̂
15. 𝑚 𝐿𝑂𝑉
References:
For the Teacher: Advise the students to read the reading and discussion portion before they
attempt to answer the practice exercises. Going through the parts sequentially will help them
understand easily the topic.
For the Learner: Read through the self-learning home task from the first part to the last part.
Doing so, will help you understand better the topic.
For the Parent/Home Tutor: Assist your child and make sure that he/she reads the self-
learning home task from beginning to end to ensure proper understanding of the concepts.
5
SELF-LEARNING HOME TASK (SLHT)
Theorem 1. In a circle or in congruent circles, two minor arcs are congruent if and only if
their corresponding central angles are congruent.
Proof of the Theorem
The proof has two parts. Part 1. Given are two congruent circles and a central angle from
each circle which are congruent. The two- column proof below shows that their
corresponding intercepted arcs are congruent.
B
D
Given: ⨀o ⨀U
C A
m COD mAUB
O U
̂ 𝐴𝐵
Prove: 𝐶𝐷 ̂
Proof:
Statements Reasons
1. ⨀𝑂 ⨀𝑈 Given
m COD mAUB
2. In ⊙ 𝑂, m COD= m 𝐶𝐷
̂ The degree measure of a minor arc is
̂
In ⊙ 𝑈 mAUB = m 𝐴𝐵 the measure of the central angle which
intercepts the arc.
̂ = m 𝐴𝐵
4. m 𝐶𝐷 ̂ From 2 & 3, substitution
5. ̂ 𝐴𝐵
𝐶𝐷 ̂ From 4, definition of congruent arcs
Part 2. Given are two congruent circles and intercepted arcs from each circle which are
congruent. The two- column proof below shows that their corresponding angles are
congruent.
6
Given: ⨀o ⨀U D B
̂ 𝐴𝐵
𝐶𝐷 ̂ C A
Prove: CODAUB O U
Proof:
Statements Reasons
1. ⨀𝑂 ⨀ 𝑈 Given
̂ 𝐴𝐵
𝐶𝐷 ̂
̂ = m COD
2. 𝐼𝑛 ⨀𝑂, m 𝐶𝐷 The degree measure of a minor arc is
the measure of the central angle which
̂ = mAUB
𝐼𝑛 ⨀𝑈, m 𝐴𝐵 intercepts the arc.
̂ =m 𝐴𝐵
3. m 𝐶𝐷 ̂ From 1, definition of congruent arcs
Theorem 2. In a circle or in congruent circles, two minor arcs are congruent if and only if
their corresponding chords are congruent.
A
H
T N
B E
O
C
The proof has two parts. Part 1. Given two congruent circles ⊙ 𝑇 ⊙ 𝑁 and two congruent
corresponding chords ̅̅̅̅𝐴𝐵 and ̅̅̅̅
𝑂𝐸 , the two-column proof below shows that the
̂ and 𝑂𝐸
corresponding minor arcs 𝐴𝐵 ̂ are congruent.
A E
Given: ⊙ 𝑇 ⊙ 𝑁
T N
𝐴𝐵 ̅̅̅̅
̅̅̅̅ 𝑂𝐸
̂ 𝑂𝐸
Prove: 𝐴𝐵 ̂ B O
7
One way to show that two segments are congruent is to show that they are parts of
congruent figures. If the radii joining points T and N to the endpoints of the given chords
are drawn, two triangles, ATB and ONE are formed.
Proof:
Statements Reasons
1. ⊙ 𝑇 ⊙ 𝑁 1. Given
̅̅̅̅ ̅̅̅̅
𝐴𝐵 𝑂𝐸
̅̅̅̅ 𝑇𝐵
2. 𝑇𝐴 ̅̅̅̅ 𝑁𝑂
̅̅̅̅ 𝑁𝐸
̅̅̅̅ 2. Radii of the same circle or of congruent
circles are congruent.
̂ and
Part 2. Given two congruent circles ⊙ 𝑇 and ⊙ 𝑁 and two congruent minor arcs 𝐴𝐵
̂ the two-column proof below shows that the corresponding chords 𝐴𝐵
𝑂𝐸, ̅̅̅̅ and ̅̅̅̅
𝑂𝐸 are
congruent.
Given: ⊙ 𝑇 ⊙ 𝑁
A E
̂ 𝑂𝐸
𝐴𝐵 ̂
̅̅̅̅ ̅̅̅̅
Prove: 𝐴𝐵 𝑂𝐸 T N
B O
Proof:
Statements Reasons
1. ⊙ T ⊙ N 1. Given
̂ OE
AB ̂
̂ m OE
2.m AB ̂ 2. Definition of congruent arcs
̂
4. mATB = m BA 4.The degree measure of a minor arc is the
measure of the central angle which
̂
m OE intercepts the arc.
TA ̅̅̅̅
6. ̅̅̅̅ TB NO
̅̅̅̅NE
̅̅̅̅ 6. Radii of the same circle or of congruent
circles are congruent.
8
7. ATB ONE 7. SAS Postulate
AB ̅̅̅̅
8. ̅̅̅̅ OE 8. Corresponding Parts of Congruent
Triangles are Congruent (CPCTC)
Remember
Congruent arcs are arcs of the same circle or of congruent circles with equal
measures.
Arc Addition Postulate. The measure of an arc formed by two adjacent arcs is the
sum of the measures of the two arcs.
SAS Congruence Postulate. If two sides and the included angle of one
triangle are congruent respectively to two sides and the included angle of
another triangle, then the two triangles are congruent.
If an angle is inscribed in a circle, then the measure of the angle equals one-half the
measure of its intercepted arc (or the measure of the intercepted arc is twice the measure
of the inscribed angle.
Q
Given PQR inscribed in ⊙ 𝑆 and ̅̅̅̅ 𝑃𝑄 is a diameter
X
1
Prove: m PQR = m 𝑃𝑅 ̂ S
2
Proof:
Statements Reasons
̅̅̅̅ 𝑅𝑆
2. 𝑄𝑆 ̅̅̅̅ Radii of a circle are congruent.
9
4. PQR QRS The base angles of an isosceles
triangle are congruent.
5. m PQR mQRS The measures of congruent angles are
equal.
6. mQRS = X Transitive Property
̂
8. mPSR = m 𝑃𝑅 The measure of a central angle is equal
to the measure of its intercepted arc.
̂ = 2x
9. m 𝑃𝑅 Transitive Property
̂ = 2(m PQR)
10. m 𝑃𝑅 Substitution
1
̂
11. mQRS = m 𝑃𝑅 Multiplication Property of Equality
2
Remember: Supplementary angles are two angles whose measures have a sum of 180
degrees.
A
Task I. Given Isosceles CAR is inscribed in ⨀𝐸. If m 𝐶𝑅
̂ = 130 , find:
0
A. mCAR ̂
B. m𝐴𝐶 ̂
C. m𝐴𝑅 E
C
Solutions:
R
0
1
̂
The measure of the inscribed angle 130
A. mCAR = m 𝐶𝑅 is ½ of the measure of its
2 intercepted arc
1
= (1300)
2
mCAR = 650
10
̂ = 1150
B. m𝐴𝐶 Two minor arcs are congruent if and
only if their corresponding chords
̂ = 1150
C. m𝐴𝑅 are congruent
M 700
̅̅̅̅̅ is a diameter of ⨀𝑂. If m𝑀𝑅
̂ =70 , Find: 0 R
Task 2. 𝐷𝑅
1
= (700)
2
= 350
1
B. mDRM = ̂
m 𝑀𝐷
2
1
= (1100)
2
= 550
1
C. mDMR= ̂
m 𝐷𝑅
2
1
= (1800)
2
An angle inscribed in a semicircle is
= 900 a right angle
Task 3. Quadrilateral FAIT is inscribed in ⊙H. If m AFT = 750 and mFTI = 980, find:
A. m TIA B. FAI F
750 A
Solutions:
If a quadrilateral is inscribed in a H
A. m TIA = 1800- 750 circle, then its opposite angles are 980
supplementary.
= 1050 T
I
B. FAI = 1800- 980
= 820
B. Exercises
Exercise 1
Directions: Apply the theorems to solve the following special cases of inscribed
angles and central angles. B
A
1. Find the mABD, the inscribed angle of ⊙C.
A. 900 B. 1800 C. 2700 D. 3600 C
11
̂ if the measure of AOC is 1100. A
2. Find the measure of 𝐴𝐶 C
A. 61.50 B. 1100C. 2260 D. 2700 O
B
3. Given ABC whose vertex is at the center of the circle, then the measure
of the angle is equal to the measure of its intercepted arc.
A
Therefore, the measure of B is _____.
B 800
A. 200 B. 400 C. 800 D. 1200
M
4. If the measure of LMP = 470, then the measure of 𝐿𝑃
̂ is_______.
470
P
5. If two inscribed angles of a circle intercept the same arc then the angles are
congruent. What is the measure V when the measure of D = 2x-540
2x-540
D
F
Exercise 2
Four different string art star patterns are shown. If all of the inscribed angles of each star
shown are congruent, find the measure of each inscribed angle.
Note: The sum of the measures of the central angles of a circle with no interior points in
common is 360.
12
4. The measure of each inscribed angle in STAR 4 is _______.
A. 450 B. 500 C. 550 D. 600
̂ in the figure at the right.
5. Find the measure of 𝐸𝐹𝐶
Assume that lines which appear to be diameters are actual diameters. D
C
1260
F
C. Assessment/Application/Outputs
Directions: Answer the following questions: Choose the letter of the correct answer.
Write it in your answer sheet.
M P
L Q
A. 450 B. 900 C. 1350 D. 1800
S R
2. In the figure at the right points A, B, C are on ⊙O, and mACB = 690.
What is the mAOB? A
F
A. 2880 B. 1440 C. 720 D.33.50
4. Given the figure at the right,what is the value of X?
G 31x+3 1920
A. 1 B. 2 C. 3 D. 4
A B
13
B
Supply the missing statements/reasons in the two-column proof.
D
Statements Reasons
6. Addition Postulate
7. mABD = ½ m (𝐴𝐷
̂) 7.
mDBC = ½ m (𝐷𝐶
̂)
8. 8. Substitution
̂)
10. m∠ABC = ½ m (𝐴𝐶 10.
11. Quadrilateral VDCF is inscribed in circle O. If the measure of VDC = 960 and the
measure of DCF = 770, find the measure of VFC. D C
0
96 0 77
O
V
F
12. Zane designed a personalized pendant. She decided to have a six sided one. If the
opposite vertices are connected by line segments and meet at the center of the circle, what
is the measure of the angle formed at the center of the circle?
P
R
13. PQR is inscribed at ⊙ 𝑆, what is the measure of 𝑄𝑃
̂
S
if PQR = 50 0
Q T
14. If ACB is 34 , what is the measure of ADB?
0
A
B
14
15. Chord UN travels through the center of circle O which means it is a diameter. If the
measure of UOR = 200, what is the measure of NOR?
O
O
U N
R
D. Suggested Enrichment/Reinforcement Activity/ies
Edited by:
Reviewed by:
PAMELA A. RODEMIO
EPS, Mathematics
Division of Cebu Province
GUIDE
For the Teacher: Advise the students to read the reading and discussion portion before they
attempt to answer the practice exercises. Going through the parts sequentially will help them
easily understand the topic.
For the Learner: Read through the self- learning home task from the first part to the last
part. Doing so, will help you understand better the topic.
For the Parent/Home Tutor: Assist your child and make sure that he/she reads the self-
learning home task from beginning to end to ensure proper understanding of the concepts.
15
SELF-LEARNING HOME TASK (SLHT)
Second Formula: The area of a sector is half the product of its radius and the length of its arc.
𝟏
𝑨 = 𝒓𝑳
𝟐
Suppose the arc length of the sector is 4πcm and its radius is 10cm, then we can get the area using the second
formula. That is,
1
A = rL
2
1
A = 10(4π ) (Substitute r = 10 and L = 4𝜋)
2
𝐀 = 𝟐𝟎𝛑
Thus, the area of the shaded region is 20πcm2 .
𝒒
If an arc has measure q and radius r, then its length is 𝑳 = (𝝅𝒓).
𝟏𝟖𝟎
Side Note:
16
Example:
1. Find the area of the sector of the circle with a radius of 6cm and an arc measure of 900.
Solution:
q
A= (πr 2 )
360
90
A= (π(6)2 ) (Substitute the given arc measure and radius to the formula.)
360
1
A= (36π) (Simplify)
4
𝐀= 𝟗𝛑𝐜𝐦𝟐
2. In a circle of radius 6cm, a sector has an area 15πcm2 . What is the measure of the arc of the sector?
Solution: Since the radius and area of the sector is given and it is the measure of the arc that we need
to find, then we will use the first formula and substitute what is known in our problem.
q
A= (πr 2 ) (Let q be the measure of the arc of the sector.)
360
q
15π = (π(6)2 ) (Substitute the given area and radius to the formula.)
360
q
15π = (36π) (Simplify)
360
πq
15π = (Simplify)
10
10
150 = q (multiply both sides of the equation by )
π
The measure of the arc of the sector is 1500.
Task 2: A chord 11.76 cm long connects the ends of the arc of the sector forming a triangle with the radii.
The triangle has a height of 8.1 cm.
a. What do you call the region bounded by the arc and the chord
of the arc?
b. How do you get the area of the shaded region?
17
Example:
Find the area of a segment of a circle with an arc of 1200, a chord of 6√3 in, and a radius of 6 in.
Solution:
Finding the area of sector: Finding the area of the triangle:
q 1
A= (πr 2 ) A= (bh )
360 2
120 1 Using the special right triangle 60 -30-90, the
A= ((6)2 π) A= (6√3 x 3 ) height of the triangle is 3 in.
360 2
1
A= (36π) A = 6√3 𝑖𝑛2
3
A= 12𝜋𝑖𝑛2
Task 3: Two lines and a circle lie on the same plane. ⃡𝑁𝑉 intersects the circle at two points and ⃡𝐴𝑉 intersects
the circle at exactly one point.
⃡ ?
a. What do you call 𝑁𝑉
⃡ ?
b. What do you call 𝐴𝑉
Exercise 1
Directions: Answer the following items about the area of a segment and the area of a sector of a circle. Show
your complete and organize solution.
Exercise 2
Directions: Using the circles below, construct the following and label them correctly.
18
̅̅̅̅ and ̅̅̅̅
1. Chords 𝐻𝑌 𝐸𝑂 intersect at the center of⊙ 𝑁.
Shade the region bounded by 𝐻𝐸̂ when secant ⃡𝐻𝐸 intersects⊙ 𝑁 1.
at the points H and E.
C. Assessment/Application/Outputs
Directions: Encircle the letter of your answer for multiple choice items. Write your answer for those items that
don’t have choices. Show your solution on a clean sheet of paper to items that need solution.
1. What is the area of the sector of a circle if it has a radius 8cm and an arc measure of 60 0?
32 32 4 4
a. cm2 b. π cm2 c. cm2 d. π cm2
3 3 3 3
2. ⊙ 𝑅 has a radius of 20cm, a central angle of 800, and a chord of 25.71cm. What is the area of the segment
of the circle? Use 𝜋 = 3.1416.
a. 44.51 cm2 b.14.17 cm2 c. 233.75 cm2 d. 165.25 cm2
3. If the colors of the rainbow are to be placed evenly in a color wheel, what should each area be if the circle
has a radius 7in?
7
a. 49π in2 b. π in2 c. 7π in2 d. 10π in2
10
4. The minute hand of a large clock on the tower of public building measures 2.0m long. Find the distance
travelled by the tip of the minute hand in 15 minutes.
For items 5 and 6
A regular pizza is priced based on its diameter in inches. The price per inch of the diameter is Php15.
Suppose a slice has an area 30 in2 and an arc measuring 10 in,
5. What is the diameter of the pizza?
a.12 in b. 10 in c. 6 in d. 15 in
6. How much does the pizza cost?
a.Php150 b. Php180 c. Php90 d. Php 225
19
For items 7 and 8
A circle with radius 2 units has a sector with an area π u2 and a diameter 2√2units.
7. What is the measure of the arc of the sector?
a. 1800 b. 450 c. 900 d. 800
8. What is the area of the segment of the circle?
a. 2 u2 b. √2 u c. (π-2) u2 d. (π-√2) u2
9. Given the figure below, which statement/s is/are true?
I. ⃡ is secant line of ⊙ 𝑀
𝐴𝐶
II. ̅̅̅̅
𝐵𝐷 is the diameter of ⊙ 𝑀
III. ⃡ is also a secant line of ⊙ 𝑀
𝐸𝐹
IV. ̅̅̅̅̅
𝐺𝑀 is a radius of ⊙ 𝑀
a. I, II, & IV only b. I, III, & IV only c. I and IV only d. I , II, III, & IV
10. Which of the following line segments are secants to the circle?
a. ̅̅̅̅̅, 𝐶𝐷
𝐴𝐵 ̅̅̅̅ only
b. ̅̅̅̅̅
𝐴𝐵 , ̅̅̅̅
𝐶𝐷 , ̅̅̅̅
𝐸𝐹 only
c. ̅̅̅̅̅, 𝐸𝐹
𝐶𝐷 ̅̅̅̅ only
d. ̅̅̅̅̅
𝐴𝐵 , ̅̅̅𝐽𝐾 only
11. Given ⊙ 𝐽 below, construct the following lines and line segments and label them correctly.
⃡ is tangent to ⊙ 𝐽 at R.
𝑅𝐴
⃡𝑅𝑂 is a secant line of ⊙ 𝐽.
̅̅̅̅ ⃡ .
𝑅𝑁 is a chord of ⊙ 𝐽 contained in 𝑅𝑂
̅̅̅̅
𝐽𝑁 is a radius of ⊙ 𝐽.
12. An arc of a circle measures 600. If the circle has a radius 8 cm, what is the length of the arc?
13. A circle of radius 6 units has a sector with an area of 15 πu2. What is the length of the arc of the sector?
For items 14 and 15
Using the circle below, construct the given information. Find what is asked.
Secant ⃡𝐴𝑉 intersects secant ⃡𝑂𝑁 at R, the center of the circle, forming a sector of the circle with 𝐴𝑂 ̂
measuring 450, a chord 3.82 units, and a radius 5 units.
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D. Suggested Enrichment/Reinforcement Activity/ies
Find the area of the shaded region of the circle. Answer the questions that follow.
Questions:
a. How did you find the area of each shaded region?
b. What mathematics concepts or principles or principles did you apply to find the area of the shaded region?
Explain how you apply these concepts.
References:
1. Learner’s Material for Mathematics Grade 10, pp. 147 – 159, 178 – 198
2. Final-K-to-12-MELCS-with-CG-Codes, p.239
3. Sr. Ma. Mauricia L. Villarmil, R.V.M., Dr. Raymundo A. Favila, Ph.D., Edwin E. Moise, Floyd L. Downs, Jr.,
Geometry Metric Edition, pp. 535 -554
GUIDE
For the Teacher: Advise the students to read the reading and discussion portion before they attempt to answer the
practice exercises. Going through the parts sequentially will help them understand easily the topic.
For the Learner: Read through the self-learning home task from the first part to the last part. Doing so, will help you
understand better the topic.
For the Parent/Home Tutor: Assist your child and make sure that he/she reads the self-learning home task from
beginning to end to ensure proper understanding of the concepts.
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