Grade 10 week 1 and 2

1. Answer Sheet for Module 1 and 2
Name: ______________________________________ Score: ____________
Year and Sec: _______________________________ Date: ______________
Lesson – Sequence
Learning Task 1: Fill out the table below to get the answer.
Week 1 2 3 4 5
Kilos
Learning Task 2: A Write F if the sequence is finite or I if the sequence is infinite before the number.
1. _______ 4. ________ 7. ________ 10. _________
2. _______ 5. ________ 8. ________
3. _______ 6. ________ 9. ________
Learning Task 2: B Find the next three terms of the given sequences.
1. 2, 5, 8, 11, ______,______,______ 6. 2, 4, 8, 16, ______,______,______
2. 1, -3, -7, -11, ______,______,______ 7. 2, 6, 18, 54, ______,______,______
3. 1, 4, 16, 64, ______,______,______ 8. 3.2, 4.3, 5.4, ______,______,______
4. 60, 48, 36, 24, ______,______,______ 9. -7,-9, -11, -13, ______,______,______
5. 1, 4, 9, 16, 25, ______,______,______ 10. ,, , , __,__,__ do not answe
Learning Task 2: C Write the first four terms of the sequence whose nth term is given by the rule.
1. ______, _______,_______, _______ 4. ______,_______, _______, _______
2. ______, _______,_______, _______ 5. ______,_______, _______, _______
3. ______, _______,_______, _______
Learning Task 3
1. ______________________________________________________________________________________
2. ______________________________________________________________________________________
3. ______________________________________________________________________________________
4. ______________________________________________________________________________________
Lesson – Arithmetic Sequence
Learning Task 1: Each item below shows a pattern. Determine the next term in the sequence.
1. __________ 3. __________ 5. __________
2. __________ 4. __________
Learning Task 2: A Determine whether the sequence is arithmetic or not. If it is, find the common difference and the
next three terms.
Common difference Next 3 terms
1. ________________ _________, _________,__________
2. ________________ _________,_________,__________
3. ________________ _________,_________,__________
4. ________________ _________,_________,__________
5. ________________ _________,_________,__________

2. Learning Task 2: B After familiarizing yourself on finding the nth term of an arithmetic sequence,let us try to answer
the exercises below.
Find the term indicated in each of the following arithmetic sequences.
1. 15th term = ___________
2. 25th term = ___________
3. 18th term = ___________
4. 20th term = ___________
5. 12th term = ___________
Learning Task 2: C Solve what is asked:
1. Insert four arithmetic means between -1 and 14. _________,__________,_________,_________
2. Insert five arithmetic means between 14 and 86. _________,__________,_________,_________,_________
3. Insert three arithmetic means between -16 and 4. _________,__________,_________
Learning Task 3
1. ______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
2. ______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
Reminder
If computation is needed use the extra paper and write your final answer on the space provided in each item.

3. Answer Sheet for Module 3 and 4
Name: ______________________________________ Score: ____________
Year and Sec: _______________________________ Date: October 12 - 16, 2020
Lesson – Geometric Sequence
Learning Task 1: Determine if the pattern illustrates Geometric Sequence or not.
1. __________ 2. __________ 3. __________ 4__________ 5. __________
Learning Task 2: A Determinethe commonratioandthe next3 termsof the followinggeometricsequence.Write
your answeronthe space provided.Itemnumber1is done foryou...
Given Common Ratio Next 3 Terms
1. 4, 8, 16, … 2 32, 64, 128
2. 972, 324, 108, …
3. -3, 12, -48, …
4. 0.1, 0.5, 2.5, …
5. 10 000, 1 000, 100, ..
Learning Task 2: B Translate the word “I love you very much!” in French by determining and matching the
common ratio or common difference of the following and then placing each letter on the spaces below the
decoder:
JE’
1, 4, 7, 10, …
EA
1, 4, 16, 64, …
P
-7, -56, -392, …
IM
2, -5, -12, -19, …
EB
88, 83, 78, 73, …
OU
250, 50, 10, 2, …
TA
1
2
,1, 1
1
2
, 2…
UC
-3, 6, -12, 24, …
Write your answer on the decoder below:
d = 3 d =
1
2
d=-7 d=-5 r= 4 r = -2 r =
1
5
r = 8
And the French word for “I love you very much!” is ….
Learning Task 2: C Find the 10th term of the geometric progression.
1. __________ 2. __________ 3. __________
Learning Task 3
1. ______________________________________________________________________________________
2. ______________________________________________________________________________________
3. ______________________________________________________________________________________
______________________________________________________________________________________

4. Answer Sheet for Module 5 and 6
Name: ______________________________________ Score: ____________
Year and Sec: _______________________________ Date: October 19 - 23, 2020
Lesson – Application of Sequences
Learning Task 1: Write the letter before the number. The letters will spell out the Khmer greeting.
1 2 3 4 5 6 7 8
Learning Task 2: Solve the following problems.
a. How many trees will they plant during the fifth year? Answer: ____________
b. How many trees will they have planted by the end of the tenth year? Answer: _____________
Solution: Complete the table.
No. of Years 1 2 3 4 5 6 7 8 9 10
No. of Trees 100 150 200
Learning Task 3
1. ______________________________________________________________________________________
______________________________________________________________________________________
2. ______________________________________________________________________________________
______________________________________________________________________________________
Solve:
The logs are piled such that each row is 2 less than the one below. If the there are 30 logs at bottom and the
top most is 2, how many logs are there in all? Answer: _______________
Lesson – Division of Polynomials
Learning Task 1:On the chart below, the long division method is shown in Column A with missing expressions.
You are to complete the division process by finding the correct expressions for each box in Column B.
Reminder
If computation is needed use the area at back and write your final answer on the space provided in each item.

5. Learning Task 2 A. Divide each of the following: using the two methods (Use the attached extra paper for this Task)
1. (x2
– 7x + 10) ÷ (x – 5)
2. (x2
+ x -20) ÷ (x – 4)
3. (x3
+ 3x2
+ 5x + 3) ÷ (x + 1)
4. (2x3
– 18x – 45 + 5x2
) ÷ (x + 5)
5. (3x2
+ 7x3
+ 11x - 4) ÷ (x + 2)
B. Write the dividend, P(x) in P(x) = D(x)[Q(x)] + R of the above items.
Learning Task 3. This lesson was about performing division of polynomials using long method and synthetic division.
Based on your understanding about the lesson, make your own reflection by answering the following questions:
1. ___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
2. ___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
Lesson – Remainder and Factor Theorem
Learning Task 1. Perform what is asked. (Use the attached extra paper for this Task)
Answer
1. Evaluate 3x3
+ 2x2
- 5x + 1 when x = 32 (correction for given number 1) __________________________
2. What is the remainder if x3
+ 2x2
- 4x + 3 is divided by (x – 3)? __________________________
3. Given P(x) = 2x3
+ 5x2
– 3, find P(-1). __________________________
4. If f(x) = x3
+ 4x2
+ 3x – 2, what will be the value of f(x) at x = 3? __________________________
5. Use synthetic division to find the remainder when (5x2
– 2x + 1) is divided by (x + 2). ________________________
Learning Task 2. A. Use the Remainder Theorem to find the remainder R in each of the following. Then check using
synthetic division. (Use the attached extra paper for this Task) Answer
1. (x4
– x3
+ 2) ÷ (x + 2) _________________________
2. (x3
– 2x2
+ x + 6) ÷ (x – 3) _________________________
3. (x4
– 3x3
+ 4x2
– 6x + 4) ÷ (x – 2) __________________________
4. (x4
– 16x3
+ 18x2
– 128) ÷ (x + 2) __________________________
5. (3x2
+ 5x3
– 8) ÷ (x – 4) __________________________
B. Use the Factor Theorem to determine whether or not the first polynomial is a factor of the second. (Use the attached
extra paper for this Task)
Answer
1. (x – 1); (x2
+ 2x + 5) __________________________
2. (x + 1); (x3
– x – 2) __________________________
3. (x – 4); (2x3
– 9x2
+ 9x – 20) __________________________
4. (a – 1); (a3
– 2a2
+ a – 2) __________________________
5. (y + 3); (2y3
+ y2
– 13y +6) __________________________
Learning Task 3:
1. ______________________________________________________________________________________
2. ______________________________________________________________________________________

6. 3. ______________________________________________________________________________________
4. ______________________________________________________________________________________
Answer Sheet for Module 7 and 8
Name: ______________________________________ Score: ____________
Year and Sec: _______________________________ Date: October 26 - 30, 2020
Lesson – Factoring polynomial
Learning Task 1. On the chart below, find a factor in Column B of each of the given polynomials in Column A using the
Factor Theorem.
1. _______________ 2. __________________ 3. ________________
Learning Task 2 A. Determine the factors of the given polynomial.
1. ( )( )( )
2. ( )( )( )
3. ( )( )( )
B. Solve the following problems using factoring polynomials.
1. A . Length of a rectangular garden = __________________
B. Skip
2. Reams = __________________
Learning Task 3
A. Answer the following:
1. ____________________ 3. _______________________
2. ____________________ 4. _______________________
B. Answering the following questions.
1. ___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
2. ___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
Lesson – Polynomial Equations
Learning Task 1.
Identify if the given equation is a polynomial equation or not. Write P if polynomial equation and NP if not.
1. _______ 4. ________ 7. ________ 10. _________
2. _______ 5. ________ 8. ________
3. _______ 6. ________ 9. ________

7. Learning Task 2. Write the terms of expression in the descending order. Determine the degree,the leading coefficient
and the constant term.
Learning Task 3
1. How you to transform a polynomial equation in standard form? State some steps based on your understanding.
___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
Lesson – Polynomial Equations
Learning Task 1. Complete the table below by identifying the degree and real roots of polynomial equations (if a
root occurs twice then use multiplicity 2 or if it occurs thrice use multiplicity 3) Three problems are done for you
as example.
Learning Task 2. A. Find the roots of the following polynomial equations given one of its roots on the right side.
1. __________________ 4. __________________
2. __________________ 5. __________________
3. __________________
B. Find a polynomial equation with integer coefficients that has the following roots.
1. ____________________________ 4. ____________________________
2. ____________________________ 5. ____________________________
3. ____________________________
Learning Task 3. A. Perform as instructed
1. ____________________________ 3. ____________________________
2. ____________________________ 4. ____________________________

8. B. Answer the following questions.
1. ________________________________________________________________________________________
________________________________________________________________________________________
2. ________________________________________________________________________________________
________________________________________________________________________________________
3. ________________________________________________________________________________________
________________________________________________________________________________________