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MATHEMATICS FACILITATOR’S GUIDE
Grade 5
A member of the FUTURELEARN group
Mathematics Facilitator’s guide
1805-E-MAM-FG01
Í2%È-E-MAM-FG01!Î
Grade 5
CAPS aligned
Facilitator’s Guide G05 ~ Mathematics
CONTENTS YEAR PLAN ...................................................................................................................... 10 UNIT 1 ............................................................................................................................... 19 Lesson 1: Where do numbers and digits come from? .............................................. 19 Lesson 2: Place values ................................................................................................ 21 Mental maths .......................................................................................................... 21 Activity 2.1 .................................................................................................................. 22 Activity 2.2 .................................................................................................................. 24 Lesson 3: Introduction to ten thousands ................................................................... 25 Mental maths .......................................................................................................... 25 Activity 3.1 .................................................................................................................. 26 Activity 3.2 .................................................................................................................. 27 Lesson 4: Numbers greater than ten thousands ....................................................... 28 Mental maths .......................................................................................................... 28 Activity 4.1 .................................................................................................................. 29 Activity 4.2 .................................................................................................................. 30 Activity 4.3 .................................................................................................................. 32 Lesson 5: Expanded notation ..................................................................................... 36 Mental maths .......................................................................................................... 37 Activity 5.1 .................................................................................................................. 37 Lesson 6: Comparing, arranging and rounding numbers ........................................ 38 Mental maths .......................................................................................................... 39 Activity 6.1 .................................................................................................................. 39 Activity 6.2 .................................................................................................................. 41 Lesson 7: Multiples ...................................................................................................... 42 Activity 7.1 .................................................................................................................. 42 Activity 7.2 .................................................................................................................. 44 Lesson 8: Add and subtract ........................................................................................ 46 Activity 8.1 .................................................................................................................. 46 Activity 8.2 .................................................................................................................. 47 Mental maths .......................................................................................................... 49 Activity 8.3 .................................................................................................................. 49 Activity 8.4 .................................................................................................................. 50 Lesson 9: Money .......................................................................................................... 52 Mental maths .......................................................................................................... 52 Activity 9.1 .................................................................................................................. 53 Activity 9.2 .................................................................................................................. 54 Lesson 10: Multiplication ............................................................................................ 57 Mental maths .......................................................................................................... 58 Activity 10.1 ................................................................................................................ 59 Activity 10.2 ................................................................................................................ 61 Activity 10.3 ................................................................................................................ 62 Activity 10.4 ................................................................................................................ 64 1
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Facilitator’s Guide G05 ~ Mathematics
Activity 10.5 ................................................................................................................ 66 Lesson 11: Division...................................................................................................... 71 Activity 11.1 ................................................................................................................ 72 Lesson 12: Division...................................................................................................... 75 Mental maths .......................................................................................................... 75 Activity 12.1 ................................................................................................................ 76 Activity 12.2 ................................................................................................................ 80 Lesson 13: Fun patterns .............................................................................................. 81 Activity 13.1 ................................................................................................................ 81 Activity 13.2 ................................................................................................................ 81 Activity 13.3 ................................................................................................................ 83 Lesson 14: Special patterns ........................................................................................ 84 Activity 14.1 ................................................................................................................ 86 Activity 14.2 ................................................................................................................ 87 Lesson 15: Ratio and rate............................................................................................ 87 Activity 15.1 ................................................................................................................ 88 Activity 15.2 ................................................................................................................ 89 Lesson 16: Data ............................................................................................................ 90 Lesson 17: Time ........................................................................................................... 91 Activity 17.1 ................................................................................................................ 92 Activity 17.2 ................................................................................................................ 93 Lesson 18: Summary ................................................................................................... 94 UNIT 2 ............................................................................................................................... 99 Lesson 19: Number concepts ......................................................................................... 99 Mental maths ........................................................................................................... 99 Activity 19.1 ............................................................................................................... 99 Activity 19.2 ............................................................................................................. 102 Activity 19.3 ............................................................................................................. 104 Activity 19.4 ............................................................................................................. 104 Activity 19.5 ............................................................................................................. 108 Lesson 20: Fractions ..................................................................................................... 110 Activity 20.1 ............................................................................................................. 110 Activity 20.2 ............................................................................................................. 113 Activity 20.3 ............................................................................................................. 116 Activity 20.4 ............................................................................................................. 119 Activity 20.5 ............................................................................................................. 124 Activity 20.6 ............................................................................................................. 126 Lesson 21: Geometry .................................................................................................... 128 Mental maths ......................................................................................................... 128 Activity 21.1 ............................................................................................................. 128 Activity 21.2 ............................................................................................................. 131 Activity 21.3 ............................................................................................................. 132 Activity 21.4 ............................................................................................................. 134 Mental maths ......................................................................................................... 134 Š 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Facilitator’s Guide G05 ~ Mathematics
Activity 21.5 ............................................................................................................. 136 Activity 21.6 ............................................................................................................. 138 Activity 21.7 ............................................................................................................. 140 Activity 21.8 ............................................................................................................. 143 Lesson 22: Volume ........................................................................................................ 144 Mental maths ......................................................................................................... 144 Activity 22.1 ............................................................................................................. 145 Activity 22.2 ............................................................................................................. 146 Activity 22.3 ............................................................................................................. 147 Activity 23.1 ............................................................................................................. 149 Mental maths ......................................................................................................... 149 Activity 23.2 ............................................................................................................. 152 Activity 23.3 ............................................................................................................. 153 Lesson 24: Calculator games ....................................................................................... 154 Mental maths ......................................................................................................... 154 Activity 24.1 ............................................................................................................. 154 Lesson 25: Measuring time throughout the centuries................................................ 156 Mental maths ......................................................................................................... 156 Activity 25.1 ............................................................................................................. 156 Activity 25.2 ............................................................................................................. 157 Activity 25.3 ............................................................................................................. 158 Activity 25.4 ............................................................................................................. 159 Lesson 26: Grids ............................................................................................................ 162 Mental maths ......................................................................................................... 162 Activity 26.1 ............................................................................................................. 163 Activity 26.2 ............................................................................................................. 165 Activity 26.3 ............................................................................................................. 166 Lesson 27: Money .......................................................................................................... 168 Mental maths ......................................................................................................... 168 Activity 27.1 ............................................................................................................. 168 Lesson 28: 2D shapes and 3D objects ......................................................................... 170 Mental maths ......................................................................................................... 170 Activity 28.1 ............................................................................................................. 171 Activity 28.2 ............................................................................................................. 175 Lesson 29: Views ........................................................................................................... 176 Mental maths ......................................................................................................... 176 Activity 29.1 ............................................................................................................. 177 Lesson 30: Symmetry .................................................................................................... 178 Activity 30.1 ............................................................................................................. 178 Activity 30.2 ............................................................................................................. 179 Activity 30.3 ............................................................................................................. 181 Lesson 31: Revision ...................................................................................................... 183 Activity 31.2 ............................................................................................................. 186 Activity 31.3 ............................................................................................................. 188 Lesson 32: Revision tests ............................................................................................. 191 3
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Facilitator’s Guide G05 ~ Mathematics
Activity 32.1 ............................................................................................................. 191 Revision Test 1 ............................................................................................... 191 Activity 32.2 ............................................................................................................. 193 Revision Test 2 ............................................................................................... 193 Activity 32.3 ............................................................................................................. 194 Revision Test 3 ............................................................................................... 194 Revision Test 4 ............................................................................................... 196 Revision Test 5 ............................................................................................... 197 UNIT 3 ............................................................................................................................. 199 Lesson 33: Shapes in my environment........................................................................ 199 Mental maths ......................................................................................................... 199 Lesson 34: 2D shapes ................................................................................................... 200 Mental maths ......................................................................................................... 200 Lesson 35: Create your own 2D shapes ...................................................................... 201 Mental maths ......................................................................................................... 201 Lesson 36: Transformation ........................................................................................... 203 Mental maths ......................................................................................................... 203 Activity 36.1 ..................................................................................................................... 203 Lesson 37: Symmetry .................................................................................................... 204 Mental maths ......................................................................................................... 204 Activity 37.1 ..................................................................................................................... 205 Lesson 38: 3D objects ................................................................................................... 206 Mental maths ......................................................................................................... 206 Activity 38.1 ............................................................................................................. 207 Activity 38.2 ............................................................................................................. 207 Lesson 39: Different views of 3D objects .................................................................... 208 Mental maths ......................................................................................................... 208 Activity 39.1 ............................................................................................................. 209 Lesson 40: Perimeter and area ..................................................................................... 210 Mental maths ......................................................................................................... 210 Activity 40.1 ............................................................................................................. 210 Activity 40.2 ............................................................................................................. 210 Activity 40.3 ............................................................................................................. 211 Activity 40.4 ............................................................................................................. 211 Activity 40.5 ............................................................................................................. 213 Activity 40.6 ............................................................................................................. 216 Lesson 41: Shapes and patterns in nature .................................................................. 217 Lesson 42: I am an entrepreneur .................................................................................. 217 Mental maths ......................................................................................................... 217 Activity 42.1 ............................................................................................................. 218 Activity 42.2 ............................................................................................................. 218 Lesson 43: My Tuck shop ............................................................................................. 220 Mental maths ......................................................................................................... 220 Activity 43.1 ............................................................................................................. 221 Š Impaq
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Facilitator’s Guide G05 ~ Mathematics
Activity 43.2 ............................................................................................................. 222 Lesson 44: entrepreneur’s day ..................................................................................... 222 Mental maths ......................................................................................................... 222 Activity 44.1 ............................................................................................................. 223 Activity 44.2 ............................................................................................................. 224 Lesson 45: Temperature ............................................................................................... 225 Mental maths ......................................................................................................... 225 Activity 45.1 ............................................................................................................. 225 Activity 45.2 ............................................................................................................. 225 Activity 45.3 ............................................................................................................. 226 Activity 45.4 ............................................................................................................. 227 Lesson 46: Revision ...................................................................................................... 227 Mental maths ......................................................................................................... 227 Lesson 47: Decimal numbers ....................................................................................... 229 Mental maths ......................................................................................................... 229 Activity 47.1 ............................................................................................................. 230 Activity 47.2 ............................................................................................................. 230 Lesson 48: Conversion ................................................................................................. 231 Mental maths ......................................................................................................... 231 Activity 48.1 ............................................................................................................. 231 Activity 48.2 ............................................................................................................. 232 Activity 48.3 ............................................................................................................. 232 Lesson 49: Decimal numbers ....................................................................................... 233 Mental maths ......................................................................................................... 233 Activity 49.1 ............................................................................................................. 233 Activity 49.2 ............................................................................................................. 234 Activity 49.3 ............................................................................................................. 235 Lesson 50: Money as decimal numbers ...................................................................... 239 Mental maths ......................................................................................................... 239 Activity 50.1 ............................................................................................................. 239 Activity 50.2 ............................................................................................................. 239 Activity 50.3 ............................................................................................................. 240 Lesson 51: Approximation of money ........................................................................... 241 Mental maths ......................................................................................................... 241 Activity 51.1 ............................................................................................................. 241 Activity 51.2 ............................................................................................................. 241 Lesson 52: Shopping without a calculator .................................................................. 242 Mental maths ......................................................................................................... 242 Activity 52.1 ............................................................................................................. 242 Activity 52.2 ............................................................................................................. 243 Lesson 53: Common fractions ..................................................................................... 244 Mental maths ......................................................................................................... 244 Activity 53.1 ............................................................................................................. 244 Activity 53.2 ............................................................................................................. 244 Activity 53.3 ............................................................................................................. 245 5
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Facilitator’s Guide G05 ~ Mathematics
Lesson 54: Operations with fractions .......................................................................... 246 Mental maths ......................................................................................................... 246 Activity 54.1 ............................................................................................................. 246 Activity 54.2 ............................................................................................................. 247 Activity 54.3 ............................................................................................................. 247 Activity 54.4 ............................................................................................................. 248 Lesson 55: Revision tests ............................................................................................. 249 Revision test: 1 ............................................................................................... 249 Revision test 2 ................................................................................................ 251 UNIT 4 ............................................................................................................................. 253 Lesson 56: Data handling ............................................................................................. 253 Activity 56.1 ............................................................................................................. 253 Activity 56.2 ............................................................................................................. 254 Activity 56.3 ............................................................................................................. 255 Activity 56.4 ............................................................................................................. 256 Lesson 57: Probability................................................................................................... 257 Activity 57.1 ............................................................................................................. 257 Activity 57.2 ............................................................................................................. 259 Revision 1: Mental maths ................................................................................ 260 Revision 2: Fill in >, < or =. ............................................................................. 261 Revision 3: Even and odd numbers ................................................................ 262 Revision 4: Number concepts ......................................................................... 263 Revision 5: Mental maths ................................................................................ 264 Revision 6: Number concepts ......................................................................... 265 Revision 7: Multiplication ................................................................................ 266 Revision 8: Multiplication and division ............................................................. 267 Revision 9: Division......................................................................................... 267 Revision 10: Common fractions ...................................................................... 268 Revision 11: Common fractions ...................................................................... 269 Revision 12: Blitz test! ..................................................................................... 269 Revision 13: Decimal numbers ....................................................................... 271 Revision 14: Order of operations .................................................................... 272 Revision 15: Time ........................................................................................... 273 Revision 16: Units ........................................................................................... 274 Revision 17: Money ........................................................................................ 275 Revision 18: Blitz test! ..................................................................................... 276 Revision 19: Blitz test! ..................................................................................... 277 Revision 20: Complete .................................................................................... 278 Revision 21: Complete .................................................................................... 279 Revision 22: Complete .................................................................................... 280 Mental maths ......................................................................................................... 280 Revision 23: Complete .................................................................................... 285 Additional exercises ...................................................................................................... 288 Mental maths 1 ...................................................................................................... 288 Š Impaq
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Facilitatorâ&#x20AC;&#x2122;s Guide G05 ~ Mathematics
Mental maths 2 ...................................................................................................... 288 Mental maths 3 ...................................................................................................... 289 Mental maths 4 ...................................................................................................... 289 Mental maths 5 ...................................................................................................... 290 Mental maths 6 ...................................................................................................... 290 Mental maths 7 ...................................................................................................... 291 Mental maths 8 ...................................................................................................... 291 Mental maths 9 ...................................................................................................... 292 Mental maths 10 .................................................................................................... 292 Mental maths 11 .................................................................................................... 293 Mental maths 12 .................................................................................................... 293 Mental maths 13 .................................................................................................... 294 Mental maths 14 .................................................................................................... 294 Mental maths 15 .................................................................................................... 295 Mental maths 16 .................................................................................................... 295 Mental maths 17 .................................................................................................... 296 Mental maths 18 .................................................................................................... 296 Mental maths 19 .................................................................................................... 297 Mental maths 20 .................................................................................................... 297 Mental maths 21 .................................................................................................... 298 Mental maths 22 .................................................................................................... 298 Mental maths 23 .................................................................................................... 299 Mental maths 24 .................................................................................................... 299 Mental maths 25 .................................................................................................... 300 Mental maths 26 .................................................................................................... 300 Mental maths 27 .................................................................................................... 301 Mental maths 28 .................................................................................................... 301 Mental maths 29 .................................................................................................... 302 Mental maths 30 .................................................................................................... 302 Mental maths 31 .................................................................................................... 303 Additional Mental maths ............................................................................................... 304 Mental maths 1 ...................................................................................................... 304 Mental maths 2 ...................................................................................................... 304 Mental maths 3 ...................................................................................................... 304 Mental maths 4 ...................................................................................................... 305 Mental maths 5 ...................................................................................................... 305 Mental maths 6 ...................................................................................................... 305 Mental maths 7 ...................................................................................................... 305 Mental maths 8 ...................................................................................................... 306 Mental maths 9 ...................................................................................................... 306 Mental maths 10 .................................................................................................... 306 Mental maths 11 .................................................................................................... 306 Mental maths 12 .................................................................................................... 307 Mental maths 13 .................................................................................................... 307 Mental maths 14 .................................................................................................... 307 7
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Facilitatorâ&#x20AC;&#x2122;s Guide G05 ~ Mathematics
Mental maths 15 .................................................................................................... 307 Mental maths 16 .................................................................................................... 308 Mental maths 17 .................................................................................................... 308 Mental maths 18 .................................................................................................... 308 Mental maths 19 .................................................................................................... 308 Mental maths 20 .................................................................................................... 309 Mental maths 21 .................................................................................................... 309 Mental maths 22 .................................................................................................... 309 Mental maths 23 .................................................................................................... 309 Mental maths 24 .................................................................................................... 310 Mental maths 25 .................................................................................................... 310 Mental maths 26 .................................................................................................... 310 Mental maths 27 .................................................................................................... 310 Mental maths 28 .................................................................................................... 311 Mental maths 29 .................................................................................................... 311 Mental maths 30 .................................................................................................... 311 Unit 1 ............................................................................................................................... 312 Additional exercise 1 ............................................................................................. 312 Additional exercise 2 ............................................................................................. 313 Additional exercise 3 ............................................................................................. 314 Additional exercise 4 ............................................................................................. 315 Additional exercise 5 ............................................................................................. 316 Unit 2 ............................................................................................................................... 317 Additional exercise 1 ............................................................................................. 317 Additional exercise 2 ............................................................................................. 319 Additional exercise 3 ............................................................................................. 320 Additional exercise 4 ............................................................................................. 320 Additional exercise 5 ............................................................................................. 321 Additional exercise 6 ............................................................................................. 322 Additional exercise 7 ............................................................................................. 322 Additional exercise 8 ............................................................................................. 323 Additional exercise 9 ............................................................................................. 324 Additional exercise 10 ........................................................................................... 324 Unit 3 ............................................................................................................................... 326 Additional exercise 1 ............................................................................................. 326 Additional exercise 2 ............................................................................................. 326 Additional exercise 3 ............................................................................................. 327 Additional exercise 4 ............................................................................................. 328 Additional exercise 5 ............................................................................................. 328 Additional exercise 6 ............................................................................................. 329 Additional exercise 7 ............................................................................................. 329 Additional exercise 8 ............................................................................................. 330 Additional exercise 9 ............................................................................................. 330
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Facilitatorâ&#x20AC;&#x2122;s Guide G05 ~ Mathematics
YEAR PLAN UNIT 1 2 3 4 5 6
1
2
3
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DATE STARTED
LESSON
7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37
Where do numbers and digits come from? Place values Introduction to ten thousands Numbers greater than ten thousands Expanded notation Comparing, arranging and rounding numbers Multiples Addition and subtraction Money Multiplication Division Division Fun patterns Special patterns Rate and ration Data Time Summary Number concepts Fractions Geometry Volume Mass and weight Calculator games Measuring time throughout the centuries Grids Money 2D shapes and 3D objects Views Symmetry Revision Revision tests Shapes in my surroundings 2D shapes Make your own 2D shapes Transformation Symmetry 10
DATE COMPLETED
Facilitator’s Guide G05 ~ Mathematics
UNIT
3
4
DATE STARTED
LESSON 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57
DATE COMPLETED
3D objects Different views of 3D objects Area and perimeter Shapes and patterns in nature I am an entrepreneur My tuck shop Entrepreneur’s day Temperature Revision Decimal numbers Conversion Decimal numbers Money as decimal numbers Approximation of money Shopping without a calculator Common fractions Operations with fractions Revision tests Data handling Probability Revision activities Additional exercises
11
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Facilitator’s Guide G05 ~ Mathematics
Unit
1
UNIT 1 Lesson 1: Where do numbers and digits come from?
1.
Roman
I
1
IV
4
IX
9
∩
X
10
∩
XV
15
∩∩
XX
20
∩∩∩
XXX
30
∩∩∩∩∩
L
50
C
100
D
500
M
1 000
Mayan
Write the following Egyptian numbers as we would write them today: Example: ∩ = 10 + 3 = 13 ∩ = 100 + 10 + 3 = 113
a)
∩∩∩∩ = 200 + 40 + 8 = 248
b)
= 1 000 + 300 + 5 = 1 305
c) 2.
Babylonian
HinduArabic
Egyptian
How would the Mayans have written the following numbers? a)
9=
b)
14 =
c)
27 =
+ +
+
19
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Unit
Facilitator’s Guide G05 ~ Mathematics
1
3.
Do the following sum using all five different numbers systems.
17 + 3 = 20 a) b)
Egyptian: ∩ + = ∩∩ Roman: XVlI + III = XX
c)
Babylonian:
d) e)
Mayan: + = Hindu-Arabic (our number system): 17 + 3 = 20
+
=
4.
Which number system do you think is the easiest to use? Why? Hindu-Arabic, because it is the same as our number system and we are used to it.
5.
Look at the Egyptian numbers below and use it to make any 5-digit number. Egyptian number
Expanded notation
Number
3 323
3 000 + 300 + 20 + 3
3 149
3 000 + 100 + 40 + 9
2 332
2 000 + 300 + 30 + 2
4 222
4 000 + 200 + 20 + 2
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Facilitatorâ&#x20AC;&#x2122;s Guide G05 ~ Mathematics
Unit
1
Lesson 2: Place values Mental maths 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15.
2x2= 2 x 10 = 2 x 11 = 4x2= 3x9= 2x6= 2x3= 3x7= 2x8= 3x3= 2x4= 3 x 12 = 5x2= 3x2= 2 x 12 =
16. 17. 18. 19 20. 21. 22. 23. 24. 25. 26. 27. 28. 28. 30.
4 20 22 8 27 12 6 21 16 9 8 36 10 16 24
3x6= 2x8= 2 x 10 = 2x6= 2 x 12 = 2x7= 3x4= 3x8= 3x3= 2x9= 2x7= 2x9= 3x5= 3 x 11 = 3x9=
18 16 20 12 24 14 12 24 9 18 14 18 15 33 27
Before starting this lesson Write Ones on a paper and draw one dot. Write Tens on a paper and draw 10 dots. Write Hundreds on a paper and draw 100 dots. The learner must see the value of ones, tens and hundreds.
21
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Unit
Facilitatorâ&#x20AC;&#x2122;s Guide G05 ~ Mathematics
1
Activity 2.1 1.
Write down the number suggested by each diagram.
Th
H
T
U *
Th
1 034
T
U
Th c)
H
T
U
H
d)
2 530
3 417
2.
Write each of the following numbers in words. a) 474 = Four hundred and seventy-four b) 6 478 = Six thousand four hundred and seventy-eight c) 2 730 = Two thousand seven hundred and thirty d) 7 643 = Seven thousand six hundred and forty-three
3.
Write each of the following numbers in digits. a) Nine hundred and twenty-three = 923 b) Five thousand two hundred and fifty-three = 5 253 c) Six thousand five hundred and twenty-two = 6 522 d) Seven thousand = 7 000 e) One thousand two hundred and two = 1 202
4.
Fill in the correct relational symbol: >, < or =. a) 575 > 500 + 50 + 5 b) 5 062 = 5 000 + 60 + 2 c) 3 516 > 3 000 + 200 + 50 + 8 d) 8 437 > (8 x 1 000) + (3 x 100) + (4 x 10) + (8 x 1)
5.
Complete the following. a) 2 894; 2 895; 2 896; 2 897; 2 898; 2 899; 2 900; 2 901; 2 902 b) 3 200; 3 100; 3 000; 2 900; 2 800; 2 700; 2 600; 2 500; 2 400 c) 4 582; 4 592; 4 602; 4 6012; 4 622; 4 632; 4 642; 4 652; 4 662 d) 6 190; 6 195; 6 200; 6 205; 6 210; 6 215; 6 220; 6 225; 6 230
22
4 105
Th
a)
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b)
H
T
U
Facilitatorâ&#x20AC;&#x2122;s Guide G05 ~ Mathematics
6.
Unit
a.
Write each digit in the correct column: Thousands Hundreds 3 387
b.
704
c.
4 205
4
2
0
5
d.
8 390
8
3
9
0
e.
4 100
4
1
0
0
7.
Tens 8
Units 7
7
0
4
1
Write the correct number in the space provided.
111
311
146 8.
Write each number in expanded notation (use any method).
Example: Or Or a) b) c) d)
7 845 = 7 000 + 800 + 40 + 5 7 845 = 7Th + 8H + 4T + 5U 7 845 = (7 x1 000) + (8 x 100) + (4 x 10) + (5 x 1) 386 = 300 + 80 + 6 OR 3H + 8T + 6O OR (3 x 100) + (8 x 10) (6 x 1) 3 345 = 3 000 + 300 + 40 + 5 OR 3Th + 3H + 4T + 5U OR (3 x 1 000) + (3 x 100) + (4 x 10) (5 x 1) 4 766 = 4 000 + 700 + 60 + 6 OR 4Th + 7H + 6T + 6U OR (4 x 1 000) + (7 x 100) + (6 x 10) + (6 x 1) 9 583 = 9 000 + 500 + 80 + 3 OR 9Th + 5H + 8T + 3U OR (9 x 1 000) + (5 x 100) + (8 x 10) + (3 x 1)
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Unit
Facilitatorâ&#x20AC;&#x2122;s Guide G05 ~ Mathematics
1
Activity 2.2 1.
Count the cubes. a) 1 226 b) 3 496
2.
Count the place values and write down the total. a) 2 344 b) 3 553 c) 5 644 d) 6 534 e) 8 978
3.
Complete the following. a) 8 000 + 400 + 30 + 2 = 8 432 b) 3 000 + 800 + 50 + 6 = 3 856 c) 1 000 + 300 + 70 + 4 = 1 374 d) 6 000 + 4 = 6 004
4.
Complete the following. a) 8 163 = 8 thousands + 1 hundreds + 6 tens + 3 units b) 6 524 = 6 thousands + 5 hundreds + 2 tens and 4 units c) 7 865 = 7 thousands + 8 hundreds + 6 tens and 5 units d) 9 534 = 9 thousands + 5 hundreds + 3 tens and 4 units
5.
3 563
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Facilitator’s Guide G05 ~ Mathematics
Unit
1
Lesson 3: Introduction to ten thousands
Important The place value table currently looks like this: Th H T U What is the next place value to the left? TTh = ten thousand = 10 000 It is added to the left: TTh Th H T U This order ALWAYS remains the same. • • • •
10 units = 10 x 1 = 10 10 tens = 10 x 10 = 100 10 hundreds = 10 x 100 = 1 000 10 thousands = 10 x 1 000 = 10 000
Mental maths 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15.
2x3= 4 x 10 = 3 x 11 = 4x3= 3x6= 4x6= 8x3= 3x7= 5x8= 5x3= 4x4= 3x8= 6x4= 3x2= 4 x 12 =
16. 17. 18. 19 20. 21. 22. 23. 24. 25. 26. 27. 28. 28. 30.
6 40 33 12 18 24 24 21 40 15 16 24 24 6 48
25
3x6= 4x8= 4 x 10 = 3x3= 3x9= 2x7= 4x4= 3x8= 3x3= 2x9= 4x7= 3 x 10 = 4x5= 3 x 12 = 3x9=
18 32 40 9 27 14 16 24 9 18 28 30 20 36 27
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Unit
Facilitatorâ&#x20AC;&#x2122;s Guide G05 ~ Mathematics
1
Activity 3.1 1.
Answer the following questions (the learner may use a calculator). a) Which number is 1 more than 9 999? 10 000 b) Which number is 10 more than 9 990? 10 000 c) Which number is 100 more than 9 900? 10 000 d) Which number is 1 000 more than 9 000? 10 000
2.
Complete the table.
E.g. a) b) c) d) e) f) 3.
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TTh
Th
H
T
U
We write
7
3 3 2 4 9 7 0
2 8 0 2 6 8 0
7 2 0 2 0 5 2
6 6 0 5 3 6 0
73 276 3 826 42 000 94 225 29 603 47 856 80 020
4 9 2 4 8
Complete the pattern.
26
500
600
700
1 400
1 200
1 000
2 000
2 500
3 000
1 500
1 800
2 100
3 800
3 400
3 000
Facilitatorâ&#x20AC;&#x2122;s Guide G05 ~ Mathematics
Unit
1
Activity 3.2 1.
Give the value of the underlined digit. a) 6 251 = 2 hundreds / 200 b) 24 173 = 4 thousands / 4 000 c) 83 623 = 8 ten thousands / 80 000 d) 72 073 = 7 tens / 70
2.
Look at the following numbers. Underline the hundreds in bold and the ten thousands in italics. a) 44 210 b) 62 295 c) 33 306 d) 84 732 e) 29 994
3.
4.
Give the value of the underlined digit. a) 7 438 = 8U b) 28 551 = 8Th c) 63 762 = 7H d) 98 319 = 9TTh Complete the table. Complete to the next 10
Complete to the next 100 52
6
36
1
51
4
24
2
2
27
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Unit
Facilitator’s Guide G05 ~ Mathematics
1
Lesson 4: Numbers greater than ten thousands
Important Four-digit numbers e.g. 2 683, 9 623 Five-digit numbers e.g. 23 762, 41 036 Know each one’s place value, e.g. 42 987 TTh Th H T U 4 2 9 8 7 Remember, when working with large numbers we form groups of three with a space in between. Example: 3 154 763
The digit before the first space tells us how many millions: 3 million The digits before the second space tells us how many thousands: 154 thousand Now we say: three million, one hundred and fifty-four thousand, seven hundred and sixtythree.
Mental maths 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15.
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2x5= 5 x 10 = 5 x 11 = 4x5= 3x6= 4x1= 8x5= 4x7= 5x5= 5x5= 4x6= 3x7= 6x5= 6x2= 6 x 12 =
10 50 55 20 18 4 40 28 25 25 24 21 30 12 72
16. 17. 18. 19 20. 21. 22. 23. 24. 25. 26. 27. 28. 28. 30.
3x6= 4x8= 4 x 10 = 3x5= 3x7= 2x7= 4x4= 3x9= 3x3= 5x9= 4x2= 6 x 10 = 6x5= 5 x 12 = 3x8=
28
18 32 40 15 21 14 45 8 60 45 8 60 30 60 24
Facilitatorâ&#x20AC;&#x2122;s Guide G05 ~ Mathematics
Unit
1
Activity 4.1 1.
Read the following numbers then write them in words. a) 237 845 Two hundred and thirty seven thousand eight hundred and forty-five b) 1 175 082 One million one hundred and seventy five thousand and eighty-two. c) 31 009 Thirty one thousand and nine d) 3 145 236 Three million one hundred and forty five thousand two hundred and thirty-six
2.
Complete the following. a) 7 000 + 300 + 50 + 2 = 7 352 b) 30 000 + 8 000 + 700 + 4 = 38 704 c) 1 000 000 + 600 000 + 90 000 + 3 000 + 500 + 80 + 8 = 1 693 588 d) 300 + 70 000 + 4 + 100 000 + 20 = 170 324 e) 500 000 + 3 + 9 000 + 70 + 2 000 000 = 2 509 073
3.
Fill in >, < or =. a) 2 001 > 2 000 b) 9 999 < 10 000 c) 77 400 > 47 800 d) 80 + 2 000 + 6 + 700 > 2 783 e) 16 572 < 40 + 700 + 9 000 + 7 000 f) 2 000 + 170 000 + 8 + 700 + 90 < 172 978
4.
Complete the following: a) 20 200; 30 200; 40 200; 50 200; 60 200; 70 200; 80 200 b) 47 843; 57 843; 67 843; 77 843; 87 843; 97 843; 107 843
5.
Count in hundred thousands: a) 100 500; 200 500; 300 500; 400 500; 500 500; 600 500; 700 500; 800 500; 900 500 b) 123 007; 223 007; 323 007; 423 007; 523 007; 623 007; 723 007
6.
Count in millions: a) 4 000 000; 5 000 000; 6 000 000, 7 000 000; 8 000 000 b) 3 216 875; 4 216 875; 5 216 875, 6 216 875, 7 216 875; 8 216 875
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