LESSON 1. FRACTION

A. GLOSSARY1. Fraction2. Numerator3. Denominator4. Mixed number5. Improper fraction6. Convert … into/to …7. Express … as …

B. PRACTICE1. Convert the mixed number into an improper fraction. What is the numerator?2. Dave was asked to find the sum of the two mixed numbers below and express

his answer as an improper fraction. What is the missing numerator?3. Express …….as improper fractions and find the sum of the numerators.

LESSON 2. FRACTIONS

A. GLOSSARY

1. The simplest form 2. Unlike fractions 3. Like fractions (Like fractions are fractions with same denominator)4. Halves/ thirds/ quarters/ fifths 5. Least common denominator

B. PRACTICE1. Addition of like fractions

- STEP: Add up the numerators- Put the answer over the denominator- Simplify the fraction (if needed)

2. Addition of unlike fractions - Make fractions have the same denominators (Find a least common

denominator)- Add the numerators, and put the answer over the denominator- Simplify the fraction (if needed)

3. Express 40/60 in its simplest form

4. How many fifths are there in 2/1/5?

5. Find the numerator of the mixed number above. - Convert the fractions such that the denominators are all the same.- The numerator is ……….

6. Find the value of…………

7. Find the sum of …………

LESSON 3: STRAIGHT LINE

A. GLOSSARY

1. Straight line2. Point3. Segment4. Angle5. Intersect at ( the straight lines a and b intersect at O)6. Perpendicular lines 7. Angle 8. Right angle ( a and b are perpendicular lines, a is perpendicular to b)9. Parallel lines ( c and d are parallel lines, c is parallel to d)10. Pair(s) of

- EF // GH is a pair of parallel lines- There are 2 pair of parallel lines

B. PRACTICE

1. Identify the parallel line

2. Name a pair of parallel lines

3. How many pair(s) of parallel lines are/is there in the figure below?

4. How many letter(s) in the following word has/have at least 1 pair of perpendicular lines?- Answer: 2 letters have at least 1 pair of perpendicular lines

5. Does the letter above contain perpendicular lines?

LESSON 4. ANGLES

A. GLOSSARY

1. Degree (the angle < aOb is 30 degrees)2. Acute angle3. Right angle4. Obtuse angle (An angle is greater than 90 degrees but less than 180 degrees )5. Straight angle ( an angle is 180 degrees exactly)6. Reflex angle (an angle is greater than 180 degrees but less than 360 degrees)7. Full angle (an angle is 360 degrees exactly)

B. PRACTICE

1. Find <h if <a = 620

2. Look at the figure below. How many angle(s) inside the figure are greater than a right angle?

- There are ……. Angles inside the figure are greater than a right angle

3. In the figure, which angle is smaller than a right angle?

4. AD is a straight line. Find < y

LESSON 5. TURN

A. GLOSSARY1. 1 turn = 360 degrees

Convert degree(s) into turn(s)270 degrees = ¾ turnsA straight angle is ½ turn

2. Direction- Anti-clockwise direction- Clockwise direction- Minute hand- Hour hand

B. PRACTICE

1. How many 30 degrees angles are there in 1/6 of a complete turn?- There are two 30 degrees angles

2. What is the sum of 1/12 of a turn and 5 right angles?- The sum is ……….

3. How many right angles will the minute hand form when it moves from 1.14 am to 4.44 pm?

4. Peter is facing east. He will be facing north-west after turning_______ degrees in the clockwise direction.

LESSON 7. ANGLES

A. GLOSSARY1. Consecutive interior angles 2. Alternate interior angles 3. Corresponding angles4. Quadrilaterals 5. Rectangle

6. Square7. Opposite sides8. Adjacent sides9. Side

B. PRACTICE

1. The straight lines AB and CD are not parallel because the two given alternate interior angles are not equal

2. AB and CD are parallel lines. What is the value of angle DGH? …….degree3. ST and UV are parallel lines. d and h are: corresponding angles 4. ABCD is a rectangle. What is the value of angle BDA

- Solution: Since ABCD is a rectangle then ∠𝐴𝐷𝐶 is a right angle. That means ∠𝐴𝐷𝐶 = 90° In addition, ∠𝐴𝐷𝐵 + ∠𝐵𝐷𝐶 = ∠𝐴𝐷𝐶 →∠𝐴𝐷𝐵+ 35° = 90° →∠𝐴𝐷𝐵 = 55°

- (Hỏi thêm về số đo ∠𝐴𝐵𝐷. Nhiều hs sẽ trả lời là bằng 35° vì là góc so le trong với ∠𝐵𝐷𝐶.Tuy nhiên, câu trả lời đó chưa chính xác, gv cần sửa lại là: Vì ABCD là hcn nên hai cạnh đối nhau song song, mà 2 góc ABD và BDC là 2 góc so le trong ~> Chúng bằng nhau và bằng 35° GV có thể viết câu trả lời mẫu lên bảng: Since (Because ~> ít dùng) ABCD is a rectangle then opposite sides are parallel (That means) 𝐴𝐵//𝐶𝐷 In addition, ∠𝐴𝐵𝐷 and ∠𝐵𝐷𝐶 are alternate interior angles.It implies that ∠𝐴𝐵𝐷=∠𝐵𝐷𝐶=35° )

5. ABCD is a square. Find < x.- Solution:

Since ABCD is a square then ∠𝐴𝐷𝐶 is a right angle.That means ∠𝐴𝐷𝐶 = 90° In addition, ∠𝐴𝐷𝐸 + ∠𝐸𝐷𝐶 = ∠𝐴𝐷𝐶 → 77° + 𝑥° = 90° → 𝑥° = 13°

LESSON 8. TIME

A. GLOSSARY

1. Metric units of time2. Hour (h) 1 hour = 60 minutes3. Minute (m) (1 minute = 60 seconds)4. Second (s)5. In order to do st6. Punctually (on time, punctually)7. Time zone8. The actual time9. Kate’s watch shows

(Kate’s watch is 10 minutes faster than the actual time)10. Depart11. Arrive

B. How to express time?- It is 8 o’clock- It is 8 am- It is 8 pm- It is 20h00 (20:00, 20.00)- It is 08h00 (08:00, 08.00)

24-hour format- 5 am è 05h00- 5 pm è 17h00- am (or AM, A.M, a.m): before noon (between midnight, 0:00 & noon, 12:00)- pm (or PM, P.M, p.m): after noon (between noon, 12:00 & midnight, 0:00)

C. PRACTICE1. Doria's watch is 25 minutes slower than the actual time.

Doria wants to catch a movie at 7 pm.In order to get to the cinema, the bus ride takes 20 minutes.What time must Doria's watch show when leaving home in order for Doria to reach punctually for the movie?Leave your answer in 24-hour format.

ANSWER:Step 1: 20 minutes before 7 pm = 6.40 pm

Step 2: 25 minutes before 6.40 pm = 6.15 pmStep 3: 6.15 pm in 24-hour format = 18.15 hrs

2. It took me 20 minutes to complete my homework. Danny took 10 more minutes than me to do the same. If Danny completed his homework at 4.50 p.m, at what time did Danny started doing his homework?4.20 p.m 4.26 p.m 4.30 p.m 4.40 p.m

3. When it is 14.00 in Melbourne, it is 12.00 in Singapore. Mrs Lee took a flight from Singapore at 14.00 and flew to Melbourne. When it landed in Melbourne, a clock there showed 02.00 . How long did the flight actually take? 10 h13 h12 h11 h

4. Express time under 24-hour format and 12-hour format5. Convert time, construct timeline6. What time is shown on the clock?

LESSON 9. MONEY

A. GLOSSARY

1. How much do/does …… cost?2. Or What is the cost/price of … ? - Three textbooks cost $5. or The price of three textbooks is $5- I spend $5 on three textbooks. - I pay $5 for three textbooks. 3. Purchase st = buy st4. Dollar5. Cent6. Cap7. Jersey8. T-shirt9. To be short of- I am still short of 15.000 VND only… Anybody wants to help me???10. Towel11. Twice/thrice- The price of iPhone 6+ is twice as much as that of iPhone 5s and thrice as

much as that of Samsung A5

B. PRACTICE

1. Rosa has $386. After giving $39 to Eva, she has twice as much as Eva.How much money did Eva have at first?

ANSWER:Step 1: $386 - $39 = $347.00Step 2: $347.00 ÷ 2 = $173.50Step 3: $173.50 - $39 = $134.50Eva have $134.50 at first.

2. When Wilson spent $225 and Gina spent $137, each of them had the same amount of money left. If both of them had $845 altogether at first, how much did Gina have at first?ANSWER:Step 1: $845 - $137 - $225 = $483Step 2: $483 ÷ 2 = $241.50Step 3: $241.50 + $137 = $378.50Gina have $378.50 at first.

3.4. Usha and Janice had an equal amount of money.

After Usha spent $810, Janice had thrice as much money as Usha.How much did each of them have at first?

Answer:Step 1: 2 units = $810Step 2: 1 unit = $810 : 2 = $405Step 3: 3 units = $405 x 3 = $1215Each of them has $1215 at first

5.

LESSON 11. PERIMETER

A. GLOSSARY1. Length2. Width/breadth3. Perimeter 4. Circumference 5. Parallelogram 6. Rhombus 7. Trapezoid/ Trapezium 8. Triangle 9. Circle10. Identical ……11. Divided……….equally into12. Composite figure (A composite figure can be divided into basic figures)

- figure = hình vẽ.

- # picture vì figure là hình vẽ có số liệu, có thông tin. - Composite figure =hình hỗn hợp= tạo bởi nhiều hình. -> có thể chia được

thành nhiều hình cơ bản. - Hình cơ :hình vuông, hình chữ nhật, hình tam giác, hình thoi, hình bình hành,

hình thang, …)- (Perimeter = độ dài xung quanh của bất kì hình khép kín nào. - Circumference = một trường hợp đặc biệt của Perimeter. - Perimeter= chỉ chu vi của các đa giác, - Circumference = chu vi của đường tròn , đường cong khép kín. )

B. PRACTICE

1. What is the perimeter of a square if each side is 12 cm?2. The perimeter of the rectangle is 868 cm. the breadth of the rectangle is 12

cm. what is the length?3. A rectangular piece of land has a length of 52 m and a width of 16 m. what

is the sum of 6 times its length and 4 times its width?4. The figure is made up of 3 identical squares. Find its perimeter5. Square ABCD is divided into 4 equal parts as shown below. The area of

each part is 9 cm squared. Find the perimeter of square ABCD.6. The length of a rectangular field is 3 times the breadth of the field. The

perimeter of the field 672 m. what is the length of the field? What is the area of the field?

LESSON 12. AREA

A. GLOSSARY

1. Shaded figure2. Unshaded figure3. Rectangular………4. Area

5. Metric unit of area ( square meter, square centimeter)6. The total area of (The total area of a rectangle and a square is 96 cm2)7. Cardboard8. Border9. To be coverd by st (The wall is now covered by colorful paints )10. Assuming that 11. Based on

B. PRACTICE

1. A rectangle has a perimeter of 152 cm. The difference between its length and breadth is 26 cm. Find its area. Answer: 1275 cm2 Step 1: Perimeter of rectangle if length is the same as breadth → 152 - 26 - 26 = 100 cmStep 2: Breadth of rectangle → 100 ÷ 4 = 25 cmStep 3: Length of rectangle → 25 + 26 = 51 cmStep 4: Area of rectangle → 51 x 25 = 1275 cm2 Its area is 1275 cm 2 .

2. The length of a rectangular field is 5 times the breadth of the field.The perimeter of the field is 1092 m. What is the length of the field? What is the area of the field?Answer: L : B = 5 : 1

Step 1: Sum of length and breadth of rectangle: 1092 ÷ 2 = 546 m

Step 2: Breadth of rectangle: 546 ÷ 6 = 91 m

Step 3: Length of rectangle: 91 x 5 = 455 m

The length of the field is 455 m.

Step 4: Area of rectangle: 91 x 455 = 41405 m2

The area of the field is 41405 m 2 .

3. Dianne painted a rectangular picture on a cardboard measuring 67 cm and 57 cm.

A 4 cm border was left all around the picture. What is the area of the cardboard not covered by the picture? Answer:Step 1: 67 cm x 57 cm = 3819 cm2 Step 2: 67 - 4 - 4 = 59 cmStep 3: 57 - 4 - 4 = 49 cmStep 4: 59 cm x 49 cm = 2891 cm2 Step 5: 3819 cm2 - 2891 cm2 = 928 cm2 The area of the cardboard not covered by the picture 928 cm 2 .

4. The figure is formed by 3 squares. The side of each square is a whole number. If the total area of the figure is 125 cm2, find the perimeter of the figure.

Answer:Step 1:

List of whole numbers: 1  2  3  4  5   6  7  8  9  10  11List of corresponding square values:1    4    9     16    25    36   49   64   81    100   121Since the total area of the figure is formed by three squares, you look for three square values whose sum is equal to 125 cm2.From the list of square values, notice that, 25 + 36 + 64 = 125 cm2

Therefore, the area of the small square is 25 cm2, the area of the medium square is 36 cm2  and the area of the big square is 64cm2.Their corresponding sides are 5 cm, 6 cm and 8 cm respectively.

Step 2:5 + 5 + 5 + 6 + 6 + 6 + 8 + 8 + 3 + 2 = 54 cmThe perimeter of the figure is 54 cm.

5. 162 m of fencing is used to fence a rectangular garden. Based on this, what is the largest possible area of the garden? (Assuming that the length and width of the garden is a whole number.)The largest possible area of the garden is 1640 m2.

LESSON 13. MONOMIAL

A. GLOSSARY

1. Coefficient2. Exponent3. Variable4. Variable part5. Reduced monomial6. Similar monomial (The variable parts are the same )7. Degree ( the sum of exponents)

B. PRACTICE

LESSON 14. POLYNOMIALS

A. GLOSSARY1. Polynomial2. Term3. Denoted by4. Named as5. Simplify 6. Like terms7. Degree (the degree of a polynomial is the degree of term with highest degree)

B. PRACTICE 1. How many monomials are there in this polynomial?2. Calculate the degree of each monomial? 3. Find the degree of each polynomial- Solution:- Simplify the polynomials

a. 2x2 +3/2x +1The degrees of terms are 2, 1, 0

è The degree of polynomial is 2 b. 10x3

The degree of term is 3 -> the degree of polynomial is 3

4. Find the degree of the polynomials4x5y6 – 3x6z2 + 3x2yz2xy2 – 3x2y + 1Solution:

113

5. Expand the following:4)1( x