Grade 6 Maths Term 3

Transcription

1 1 Grade 6 Maths Term 3 Contents Unit 1: Mass... 3 Activity Working with units of mass... 3 Activity Reading scales... 4 Activity Kilograms (kg) and grams (g)... 5 Activity 1.4 Reading recipes... 7 Activity Problem solving... 7 Unit 2: Whole Numbers - Addition and Subtraction of 6 digit numbers... 8 Activity Whole numbers... 8 Activity Working with big numbers... 9 Activity Add and subtract Activity Round off, estimate and calculate (5 digit numbers) Addition Subtraction Unit 3: Addition and Subtraction Activity Fun with big numbers Activity Addition of 6 digit numbers Activity Adding 6 digit numbers Activity Subtracting 6 digit numbers Activity Addition and subtraction word problems Unit 4: Viewing Objects Activity Views of geometric objects Activity Stacks of cubes Activity Collections of objects Informal Assessment Unit 5: Properties of 2-D shapes Activity Circles Activity Revision of 2-D shapes... 19

2 2 Activity Angles Unit 6: Transformations and Temperature Activity Translate (slide) Activity Reflect (flip) Activity Rotate (turn) Activity Measuring temperature Activity Estimating temperature Unit 7: Percentages Activity Fractions, percentages and decimals Activity Calculating percentages Informal Assessment Unit 8: Data handling Activity Recording information Activity Finding the mode and median Activity Data cycle Unit 9: Data handling Activity Analysing data Informal Assessment Unit 10: Numeric patterns Activity Flow diagrams Activity Input and output tables Activity Number sequences Unit 11: Length Activity Measurement: Units and instruments Activity Estimating and measuring length Activity Length conversions Activity Kilometres Activity Calculating with measurement Informal Assessment... 51

3 3 Unit 1: Mass Activity Working with units of mass Remember: The standard (SI) units used to measure mass are kilograms and grams. I can write kilograms as kg and grams as g. 1 kg = 1 000g 1. Converting and adding. Copy and complete. a. 1 kg = g 4 b. 500g = kg c. 3 kg = g 4 d. 1kg = g e. 1 1 kg = g f g = kg 2 I hope Mr Brown will like my snails. I don t think the snails will like him. Super Snails Recipe: 750g snails. 200g cheese. 225g butter 100g garlic. 320g chopped onion. 50g chopped parsley. g. What is the total mass of all the ingredients? Write your answer in kilograms. h. What is double the mass of all the ingredients?

4 4 2. Increasing kilograms and grams. 250g flour 300ml milk 2 eggs 1 pinch salt a. Convert this pancake recipe for 4 people to a recipe for 6 people. b. Convert this pancake recipe to a recipe for 12 people. c. Convert this recipe to a recipe for 24 people. Activity Reading scales 5kg 5,25 5,5 5,75 6kg 6,25 Each interval line represents 250g or 0,25kg. 5kg 5,1 5,2 5,3 5,4 5,5 5,6 5,7 5,8 5,9 6kg 6,1 Each interval line represents 100 g or 0,1kg. Look at the scales on the following page and write the mass indicated by the letters A Z. Use decimal form. Write just the letter and the mass in your book. Remember to write kg or g after your answers.

5 5 Activity Kilograms (kg) and grams (g) A teaspoon holds approximately 5 ml. 1. Appropriate units of measurement. Choose the correct unit of measurement for each food item. Write the letter and the best estimate.

6 6 2. Calculate the total mass of the groceries. Copy and complete the table. Food g kg peas 410g 0,410 kg jam margarine cheese flour sugar Total mass g kg 3. Conversions. Copy and complete the table. g kg and g kg kg Example: 1 265g 1kg 265g 1,265kg 1kg a. 7,321kg b. 39kg 18g c 426 d e. 12,514kg f. 8kg 706g g. 13kg 3g h i. 9,016kg 4. Copy and complete the table. Colour the blocks so that their sum equals the amount in green. Example: 1kg 300g 0,2kg 0,1kg 250g 350g 450g 500g 550g a. 1kg 250g 0,4kg 150g 50g 0,3kg 550g 0,2kg 100g b. 2kg 0,3kg 500g 50g 700g 0,25kg 150g 0,6kg 100g c. 3kg 1,5kg 400g 350g 500g 0,6kg 0,2kg 300g 0,1 d. 5kg 0,3kg 1kg 0,25kg 2,5kg 300g 600g 0,4kg 200g e. 8kg 3,25kg 500g 2kg 800g 0,75kg 700g 1,5kg 50g

7 7 Activity 1.4 Reading recipes Read the recipes. Each recipe is for 4 people. 1. Which recipe uses the most: a. flour? b. butter? c. sugar? 2. Which recipe uses the least: a. chocolate? b. sugar? c. flour? 3. Rewrite the measurements to make each recipe for twelve people. Activity Problem solving 1. A shopkeeper sold 15,216kg of flour on Monday, 17, 742kg on Tuesday and 2,907kg on Wednesday. He took the flour from a 50kg bag. How much flour was left in the bag? 2. A tin of fruit jam has a mass of 440g. There are 48 tins in a box. What will the mass of the box be? Write your answer as a decimal. 3. Lindi bought a packet of sweets with a mass of 3kg and paid R30,75. How much would a 2kg bag of sweets cost? 4. A crate of apples has a mass of 56kg. If 3 of the apples are bruised, how many kg can 8 still be sold?

8 8 Unit 2: Whole Numbers - Addition and Subtraction of 6 digit numbers Activity Whole numbers 1. Copy and complete each number pattern. a b c. 51 kg 51,2kg 51,8kg d e Write these words as numbers. a. Five hundred and twenty one thousand one hundred and eight. b. One hundred and nineteen thousand six hundred and thirty two. c. Six hundred and forty two thousand one hundred and seventy. d. Eight hundred and seventy three thousand and thirteen. 3. Copy and complete the table. Number. Expanded Notation. The no. in words. Example: Thirty one thousand five hundred and four. a b c d e f g h i j What is the place value of the 9 in each of these numbers? a b c d e f g h

9 9 5. Arrange these numbers from biggest to smallest. a b c d e Round off to the nearest 5, 10, 100 and Copy and complete the table Example: a b c d e Use the numbers in the block. Use each digit only once. 8; 7; 0; 3; 5; 6; 1; 2; 4 a. Make the smallest 9 digit number. b. Make the biggest 9 digit number. You can use 1 digit twice. 8. Prime numbers. a. Write down the prime numbers between 10 and 30. b. Write the prime numbers between 50 and 70. Activity Working with big numbers Millions Hundred Ten Thousands Hundreds Tens Units Thousands Thousands M HTH TTH TH H T U

10 10 Copy and complete the number sentences. 1. a. 905+?=1 000 b. 775+?=1 000 c. 145+?=1 000 d. 575+?=1 000 e. 622+?=1 000 f. 354+?= a ?=850 b ?=444 c ?=175 d ?=903 e ?=629 f ?= a ?= b ?= c ?= d ?= e ?= f ?= a ?=1 690 b ?=900 c ?=4 345 d ?=6 825 e ?=2 815 f ?= A soccer stadium holds people. There are spectators at the match. How many empty seats are there? Activity Add and subtract Copy and complete the tables. 1. Number Add 10 Add 100 Add Add Add a b c d e Number a b c d e Subtract 10 Subtract 100 Subtract Subtract Subtract Word Problems. There were pine trees in a forest. A fire destroyed trees. How many trees were left? Three new plantations were planted with , and trees. How many new pine trees were planted altogether?

11 11 Activity Round off, estimate and calculate (5 digit numbers) The easiest way to estimate an answer is to round off each number to the nearest 10, 100, 1 000, or Addition Use the examples below to complete each addition calculation. Number =? nearest = nearest = nearest = Work out a b c d e f Subtraction Use the examples below to complete each subtraction calculation. Number nearest = nearest = nearest = Work out a b c d e f

12 12 Unit 3: Addition and Subtraction Activity Fun with big numbers 1. Write each number in expanded notation and in words. a b c d e Five hundred and ninety eight thousand three hundred and four. f g h i j Write the number sentences. Example: = How quickly can you do these? 4. a. Add and a. Decrease by b. Subtract from b. Increase by c plus c. Subtract from d. The sum of and d. The sum of and e. Take from e. Round off to nearest Activity Addition of 6 digit numbers 6 digit numbers are very large numbers and it is important to write them correctly. M HTH TTH TH H T U Always leave a gap between millions and hundred thousands. Always leave a gap between thousands and hundreds.

13 13 1. Write the numbers like the example given below. Remember to leave gaps in the correct places. Example: Four million three hundred and seven thousand and forty two = Drawing columns with the headings M, HTH, TTH, TH, H, T and U might help you. a. two million four hundred and eighty seven. b. five million two hundred thousand and fifty. c. one million fifty five thousand two hundred and forty. d. eight million three hundred and twenty one thousand and six. e. six million twenty one thousand and nine. 2. a ? = b ? = c ? = d ? = e ? = f ? = Activity Adding 6 digit numbers To which hundred thousand is each number closest? a b c

14 14 a is closer to than b is halfway between and c is closer to than Round off each number to the nearest a b c d Look at the example below and then complete each addition calculation. Number Nearest Work out = a b c d e f g h i Activity Subtracting 6 digit numbers Look at the example below and complete each subtraction calculation. Number. Round off to nearest = Work out Check with inverse operation a b c d e f g h i Activity Addition and subtraction word problems 1. The Sibisi family bought a house for R They paid a deposit of R How much do they still owe? 2. What is the difference between R and the sum of and R ?

15 3. A shoe factory produced pairs of black school shoes and pairs of brown school shoes. How many pairs of shoes did they produce altogether? Write an interesting word problem of your own for: and Solve the problem. 15 Unit 4: Viewing Objects Remember, objects can be viewed from the side. or from above or from in front/back of the object. Activity Views of geometric objects 1. Draw the shape you will see from the view indicated.

16 16 Activity Stacks of cubes We drew this stack of blocks looking at it from the side, front and top and this is what we drew 1. Draw the top, front and side views of each stack. Activity Collections of objects

17 17 1. Identify whether the view is from the side, top or front. Write only the letter and the correct view. Informal Assessment Mass 1. Copy and complete the table. 2. g kg and g kg nearest kg a g b. 6,273 kg c. 13kg 91g d g e. 20,036kg 2. Solve the word problems. a. A book has a mass of 363g. What will the mass of 12 books be? b. A shop sells potatoes at a cost of R9,50 a kg. How much did Dad pay if he bought 8 kg? Whole numbers 3. Copy and complete the number patterns. a ; 9 000; ; ; 9 375; ; ; b. 67,8; 67,6; ; 67,2; ; ; ;

18 18 4. Ordering: Arrange the numbers from biggest to smallest: Underline the even numbers in green and the odd numbers in blue. 5. Copy and complete the table. Number Expanded notation No. in words. a b c Round off. Copy and complete the table. a b c Addition and subtraction 7. Copy and complete the number sentences. a ? = b ? = 555 c ? = d ? = e ? = f =? 8. Add. Check your answer by using subtraction. a b c d Viewing objects 9. Draw the top, side and front view of the stack of cubes below.

19 Match each picture with the correct view. Write only the letter and the correct view. Unit 5: Properties of 2-D shapes Activity Circles A circle is a 2-D closed shape. The circumference is always the same distance from the centre. circumference Centre diameter Radius circumference is the distance around a circle. diameter is a line segment that connects 2 points on the circumference and passes through the centre. radius is a line segment from the centre of the circle to any point on the circumference. 1. Draw and label circles in your book. a. Measure a length of 3 cm on your ruler with your pair of compasses. Now draw a circle with a radius of 3 cm. Fill in the labels circumference, radius, centre and diameter. b. Draw circles with a radius of: a. 4 cm b. 4,7 cm c. 5,2 cm d. 3,6 cm Activity Revision of 2-D shapes 1. Use your knowledge of 2-D shapes to label each shape.

20 2. Draw 2 columns in your book and write True and False at the top. Write only the letters a to j and next to each letter write whether the statements are True or False. Statement True False a. The opposite sides of a square are equal in length. b. A triangle can have 2 sides of equal length. c. A circle has only 1 side. d. The distance from the centre of a circle to the circumference of a circle is not always the same. e. A triangle can have 2 right angles. f. A parallelogram has opposite sides equal and parallel. g. A pentagon has 7 straight sides. h. A rectangle is a quadrilateral. i. A circle is twice as big as a semi-circle. j. A circle can have more than 1 centre. Activity Angles The angle between 2 lines is how much you have turned 1 of the lines Label these angles, using the correct angle names.

21 21 Unit 6: Transformations and Temperature Transforming a shape or object means changing its appearance by moving it. We have names for the different ways we move shapes. Translation (slide) Reflection (flip) Rotation (turn) Activity Translate (slide) Translation is when a shape slides from 1 place to another without rotating or flipping over. Example: The rectangle has moved 4 squares to the right. 1. Look at the patterns below and complete the sentences.

22 22 Activity Reflect (flip) Reflection is a mirror image of a shape or object. The shape or object is flipped equally over a line of symmetry. 1. Copy the shape onto square paper. Draw the line of symmetry (reflection line) of each pair of shapes. Activity Rotate (turn) Rotation is when a shape is turned around a fixed point. Look at this example.

23 23 1. Say if the following shapes have a half turn or quarter turn. a. b. 2. Describe the rotation of each picture. a. b. c. d. Activity Measuring temperature The metric unit for measuring temperature is degrees Celcius ( C). These are analogue thermometers. The temperature is marked on the thermometer and the liquid inside the tube expands when the temperature rises. A comfortable body temperature for humans is 37 C. This is an example of a digital thermometer. The temperature is shown in numbers/digits. The temperature reading is taken by sensors that are sometimes made out of metal wires.

24 24 Jack George Siya Copy and complete. 39,8 C 37 C 38,1 C 1. a. Based on temperature, is very ill. b. Based on temperature, is healthy. c. Based on temperature, is getting better. d. Write down 3 temperatures that children may have when they are not feeling well. Write the temperatures from lowest to highest. 2. a. The classroom is 7,4 C warmer than the playground. It is 13,5 C inside the What is the temperature outside? b. Yesterday it was 14,3 C outside. It has dropped 5 C today. What is the temperature today? Activity Estimating temperature 0 C: ice 10 C cold 20 C: warm 30 C: hot 1. Choose the correct temperature. a. normal body temperature 25 C 32 C 37 C b. hot coffee 40 C 80 C 110 C c. boiling water 60 C 100 C 80 C d. bath water 10 C 40 C 80 C e. ice lolly 10 C 0 C 20 C f. sick child 39 C 37 C 42 C g. inside a refrigerator 5 C 20 C 30 C h. hot oven for baking 180 C 100 C 250 C i. cold winter day 25 C 18 C 12 C j. hot summer day 10 C 15 C 30 C

25 25 2. Write each temperature and the season you think it represents. summer winter autumn spring Challenge 3. a. The temperature rises by 4 C from -2 C. What is the new temperature? b. The temperature has fallen from 10 c to -5 C. How far has it fallen? Unit 7: Percentages Percentage means per hundred. Percentage is a fraction and the denominator is always whole = 100% 35 = 35% 10 = 10% = 25% 7 = 7% Activity Fractions, percentages and decimals 1. Write the fraction and percentage of each blue area. Write the fraction and percentage of each red area. Example: blue: = 96% red: = 4%

26 26 b. c. d. 2. Copy and complete the table. Percentage Fraction Decimal Example: 20% 20 0, a. 35% b. 82% c. 18% d. 44% e. 67% f. 73% g. 99% 3. 1 whole = 100% % 50% 75% 100%

27 27 Copy and complete. Example: 100% means all of the whole. a. means 1 of the whole. 2 b. 25% means of the whole. c. means 3 of the whole Copy and complete. 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% a. 10% means of the whole. b. 30% means of the whole. c. means 7 of the whole. 10 d. means all of the whole. 5. Write the fraction and percentage of each blue shaded area. Write the fraction and percentage of each red shaded area. Example: 4 = 40 = 40% = 60 = 60% a. b. c. d. e.

28 28 7. Copy and complete the table. fraction tenths hundredths percent decimal Example: % 0, a. 1 2 b. 1 5 c. 3 5 d Copy and complete the table. fraction hundredths percent decimal Example: % 0, a. 1 4 b c d Write the fraction, percentage and decimal for the shaded areas. a. Fraction: Percentage: Decimal: b. Fraction; Percentage: Decimal: c. Fraction: Percentage: Decimal: 10. Match the fractions, percentages and decimals. Write them in your book. Fractions Percentages Decimals % 60% 75% 5% 50% 4% 25% 80% 40% 0,8 0,25 0,04 0,75 0,6 0,4 0,05 0,2 0,5

29 29 Activity Calculating percentages How do I calculate 50% of R1? You know that 50% = 1 so half of 100c is 50c. 2 How do I calculate 25% of R1? 1. Copy and complete. 25%= 25 = of 100c = 100c 4 = 25c. a. 50% of R1= b. 25% of R1= c. 75% of R1= d. 100% of R1= e. 20% of R1= f. 40% of R1= g. 60% of R1= h. 80% of R1= 4 2. Copy and complete the table. Item Cost Discount sale price Example: radio R300 20% / 1 of R300 R300- R60= 5 R240 = R60 a. soccer ball b. tennis racket c. paint d. T-shirt e. chocolates f. watch

30 30 3. Copy and complete. percentage fraction fraction in simplest form Example: 10% a. 20% b. 25% c. 30% d. 40% e. 50% f. 60% g. 70% h. 75% i. 80% j. 90% 4. Copy and complete. a. 25% of R260= b. 75% of R100 c. 50% of R600= d. 75% of R40= e. 10% of R65= f. 50% of R400= g. 20% of R50= h. 10% of R220= i. 10% of R250= j. 25% of R16= 5. Solve these word problems. There are 120 learners in Grade 6. a. 25% of the learners are boys. How many learners are boys? How many learners are girls? b. 20% of the learners are absent from school because of a bus strike. How many learners were present? How many learners were absent? c. 60% of the learners are in the school choir. How many learners are in the choir? d. 10% of the learners play in soccer matches on a Wednesday. How many learners play in soccer matches?

31 31 Informal Assessment 1. Transformations Look at the patterns below. Describe the pattern. a. b. c. 2. Describe the rotation of each picture. a. b. c D shapes. Write the name of each 2-D shape. a. b. c. d. e. f. g. h. i.

32 32 4. Name the angles. 5. Temperature Choose the correct temperature. a. Normal body temperature 35 C 37 C 39 C b. Bath water 10 C 40 C 80 C c. Cold winter day 12 C 20 C 30 C d. Hot oven for baking 90 C 180 C 280 C 6. The classroom temperature is 4,6 C warmer than outside. It is 16,8 C inside the classroom. What is the temperature outside? 7. Percentages Write the fraction and percentage of the shaded area of each block. a. b. 8. Copy and complete the table. fraction hundredths percent decimal a. 1 4 b. 2 5 c. 4 20

33 33 9. Work out: a. 25% of R200 b. 10% of R45 c. 50% of R118 d. 75% of There are 120 Grade 6 learners. 15% of the learners are absent from school because of the flu. How many learners were absent? Unit 8: Data handling Activity Recording information Can you remember the 3 important headings to be used when creating a tally? 1. Tally marks. Copy and complete the tally chart to record the information shown in the table. Key: Yes No x Do you have a sister? Are you a boy? Do you like apples? Do you like to read? Lizzy x x x Sipho x x Vuyo x x Lindi x x Joe x x Zorno x x Jill x Billy x Patricia x x Thabo x How are you going to set out your tally? Do you enjoy sport? Have a sister Am a boy Like apples Like to read Enjoy sport Tally marks Total Use the above information to answer the following questions: a. How many of the children are girls? b. How many of the children do not like apples? c. How many of the children like to read AND enjoy sport? d. How many of the children do not have a sister?

34 34 Activity Finding the mode and median Always remember to put the numbers in order before finding the mode and median. This list of numbers is not in order: This is the same list of numbers, in order: Mode: the number which appears the most = 13 Median: the number which is in the middle of the list = Find the mode and the median of these numbers. a Mode: Median: b Mode: Median: 2. Mass of 35 children in kilograms. Find the mode and the median Mode: Median: The data cycle steps: 1. Ask a question. 2. Collect and organise data. 3. Represent data. 4. Analyse and interpret data. 5. Report on data. Activity Data cycle

35 35 1. Ask a question: I want to find out which fruit is the most popular amongst the learners in my class. 2. Collect and organise data: Interview 25 learners. Each learner may only choose one type of fruit shown above. Draw up a tally chart to show which fruits are chosen. Record the choices under boys and girls. Example: Type of fruit Tally marks Total apples boys girls bananas boys girls oranges boys girls pears boys girls grapes boys girls 3. Represent the data: a. Use your data to draw a pictograph. Set out your pictograph like this: Type of fruit No. of boys No. of girls Total apples bananas oranges pears grapes Key: = 2 learners. b. Use your data to draw a double bar graph.!!! Besides the bars themselves, remember to fill in the other 5 pieces of information!!!

36 36 Set out your double bar graph like this: Key: Boys Girls 4. Analyse and interpret the data: Look at your double bar graph and answer the following questions: a. Which type of fruit was most popular amongst the boys? b. Which type of fruit was least popular amongst the girls? c. How many learners altogether liked apples the most? d. How many learners altogether liked grapes the most? e. How many more learners chose apples over oranges? f. Which type of fruit was the mode amongst the learners? g. Predict which type of fruit would be most popular if you interviewed 300 learners. Give a reason for your answer. h. If the school tuckshop sold apples for 50c each, how much money would they collect? 5. Report on your data: Write a paragraph on your data using the answers to the questions above. Set out your paragraph like this: The was the most popular type of fruit amongst the boys. Amongst the girls, was the least popular fruit. learners liked apples the most and learners liked grapes the most. learners preferred apples to oranges. The type of fruit which was the mode was. I think the most popular type of fruit if I interviewed 300 learners would be because. The tuckshop would collect if they sold apples to all the learners who liked them best.

37 37 Unit 9: Data handling Activity Analysing data 1. A double bar graph. Look at the double bar graph showing rainfall in Durban and Cape Town and answer the questions. a. In which month does Durban have the most rain? b. In which month does Cape Town have the most rain? c. In which month does Durban have the least rain? d. In which month does Cape Town have the least rain? e. Is Durban in a winter or summer rainfall region? Give a reason for your answer. f. Is Cape Town in a winter or summer rainfall region? Give a reason for your answer. g. Which city has the highest annual rainfall? h. What is the difference in the rainfall in March for these two cities? i. What is the difference in the rainfall in December for these two cities? j. Predict which city would have the most rain in May the following year. Why? k. What is the total annual rainfall for: Cape Town? Durban? 2. Look at the double bar graph showing cars passing my school and then answer the questions. a. On which day is the traffic the heaviest in the morning? b. On which day is the traffic the heaviest at lunch time? c. On which day is the traffic the lightest in the morning? d. On which day is the traffic the lightest at lunch time? e. How many more cars are there on a Monday morning than later on in the day?

38 f. How many more cars were counted on Wednesday morning than on Tuesday morning? g. How many cars were counted in the mornings? h. How many cars were counted at lunch time? i. What is the total number of cars counted in the week? j. Predict when you think the most number of cars would be counted in the following week. Give a reason for your answer. k. Why do you think there are fewer cars counted at lunch time than early in the morning? l. Give a reason for your answer. 3. A pie chart: Farming. Look at the pie chart and then answer the questions. The pie chart shows how Sizwe has divided the land on his farm. He uses his farm to grow crops and he keeps a few goats. 38 a. What percentage of the land is used to: grow mealies? grow wheat? grow apples? grow potatoes? farm goats? b. What fraction of the land is used to farm goats? c. What fraction of the land is used to grow crops? d. If Sizwe s farm is 4 000m, how many m does he use for: 2 2 the goats? the mealies? all the crops together? e. Do you think Sizwe makes more money from selling his mealies or his potatoes? Give a reason for your answer. f. If Sizwe decided to stop growing apples and planted more wheat, what percentage of his land would he then use for wheat?

39 39 4. A pie chart: population. Look at the pie chart and answer the questions. This pie chart shows how many people live in each province in South Africa. a. What percentage of the population lives in: KwaZulu Natal? Northern Cape? b. Which province has the highest population? Why do you think so many people live there? c. Why do you think so few people live in the Northern Cape? d. Which 3 provinces have a similar population? e. What percentage of our population lives in the Northern Cape, Western Cape, Eastern Cape and KwaZulu Natal altogether? f. If the total population is 50 million, approximately how many people live in: Limpopo, Free State, Northern Cape and North West altogether? Western Cape and Eastern Cape altogether? KwaZulu Natal?

40 40 A project: The Weather data cycle. 1. Ask a question: Informal Assessment I want to find out how many rainy, cloudy, sunny and windy days there are in 4 weeks. 2. Collect and organise data: Use these symbols to record your data. Only record one weather condition on a day. Copy and complete the weather calendar. Week 1 Week 2 Week 3 Week 4 My weather calendar for 4 weeks. Mon Tues Wed Thurs Fri Sat Sun 3. Represent data: Use the data from your calendar page to complete the tally chart. Example: Weather condition No. of days Total

41 Now, use your data to draw a bar graph: Remember to fill in your heading and label the axes Analyse and interpret the data: Write 6 questions and their answers from the data represented on your graph. Example: How many rainy days were there in 4 weeks? What was the most common weather condition over the 4 weeks? Which week had the most sunny days? 5. Report on your data: Use the answers to your questions to write a paragraph summarising the data you have collected.

42 42 Unit 10: Numeric patterns Activity Flow diagrams What does numeric mean? Numeric means number. 1. Write the correct rule for each flow diagram. a b ? Rule: ? Rule: c d. Rule: ?? Rule: These flow diagrams have a 2 stage rule. Write the correct rule for each diagram. a b. 4 X 7? ? Rule: Rule: c d. 80? ? Rule: Rule:

43 43 Try this! X 5 X 10? These flow diagrams have a 2 stage rule and both rules have been left out. Write the correct rules for each flow diagram. a b.???? Activity Input and output tables We can also write numeric patterns as an input and output table. 1. Copy and complete each table and write the rule. a. input output Rule: b. input output Rule: c. input output 2,5 3,5 4,5 Rule: d. input output Rule:

44 44 e. input output Rule: f. The rule for this table has 2 operations. Find the rules. input output Rule: Activity Number sequences 1. Copy and complete each number sequence and write the rule. a Rule: b Rule: c. 1; 6; 3; 8; 5; 10; 7; ; ; ; ; Rule: d ; 3 200; 1 600; 800; ; ; ; ; ; ; Rule: e. 2; 4; 8; 16; ; ; ; ; ; ; ; Rule: f. 8; 24; 72; 216; ; ; ; : : ; Rule:

45 45 Unit 11: Length Activity Measurement: Units and instruments 1 centimetre = 10 millimetres (mm) 1 metre = 100 centimetres (cm) 1 metre = millimetres (mm) 1 kilometre = metres (m) 1. a. Convert to cm: 1 m 1 m 1 m b. Convert to m: 1 2 km 1 4 km 1 10 km c. Convert to mm: 1 cm 1 2 cm 2. What unit of measurement would you use to measure the following? Say whether you would measure in kilometres, metres centimetres or millimetres.

46 46 Activity Estimating and measuring length 1. Choose the correct measurement. 2. Estimate and then measure the following. Activity Length conversions I must remember these!

47 47 I must remember this! 1m = 100cm 1m = 1 000mm 1cm = 10mm 1 m = 50cm 1 m = 500mm 1 cm = 5mm m = 25cm 1 m = 250mm 1 cm = 2,5mm m = 20cm 1 m = 200mm 1 cm = 2mm m = 10cm 1 m = 100mm 1 cm = 1mm Copy and complete the table. metres (m) centimetres (cm) millimetres (mm) metres and centimetres Example: 1, m 75cm a b. 3m 82cm c. 24,25 d. 724 e. 5m 10cm f g. 18,50 h The mothers at Pendla Primary are making a big school flag. They buy: m red 4 material, 1 1 m black material, 8 11m yellow material and 3 m green material. How many 8 4 metres and centimetres of material did they buy altogether? 3. Nomfundo uses 2 1 m of rope to make a basket. How many metres of rope will she need 5 to make 22 baskets?

48 48 Activity Kilometres Kilometres are used to measure long distances. 1. Look at the table below and calculate the distances. places km m Example: East London to Cape Town a. Nelspruit to Pretoria b. Johannesburg to Port Elizabeth c. Windhoek to Bloemfontein d. Durban to East London 2. The Singing Brothers tour of South Africa. a. Calculate the distance The Singing Brothers travel on their tour of South Africa. The route they travelled is: Cape Town George Port Elizabeth East London Durban Bloemfontein Johannesburg Cape Town. b. How much is this less than km?

49 49 Activity Calculating with measurement The Grade Six group held a long jump competition. These were the longest distances jumped. 1. Write these distances from shortest to longest. a. 3,67m 3,07m 3,70m b. 3,49m 3,06m 3,60m c. 3,50m 3,05m 3,69m 2. Copy and complete. a. 5m + 30cm + 7mm = m b. Double 99cm = m cm c. 450cm x 4 = m cm d. 3 1 km km km = km 2 10 e. 90mm + 80cm + 40m = mm f. 50m 300cm = m 3. Estimate and then measure the length of the lightning flash in mm. 4. A long distance truck driver travels from Pretoria to Cape Town. Each trip is 1 463km long. He has made 124 trips. What distance has he travelled altogether? 5. The distance to work and back is 124km. If I have travelled 7 440km, how many trips have I made? 6. I rent a car and travel 2 480km. a. How many km must I pay for? b. If I pay R2,50 per km, how much do I pay?

50 50 Mental Maths with Vocabulary How many grams in 2 1 kg? 2 2. Round off to the nearest Write the first 5 multiples of A half circle is called a. 5. Normal body temperature is about. 6.What is the total of 0,45kg and 1,8kg? 7. One fifth of R300 =. 8. What is the median: 10; 11; 12; 13; 15? less than =. 2. Write in expanded notation. 3. Write all the factors of Write 39m 18cm as centimetres. 5. Write 20% as a common fraction. 6. Write in words % of R1 = c. 8. Round off to the nearest Three eighths of 56m =. 2. Write all the factors of more than is. 4. Write the place value of the 7 in 35, Divide by Write the next 3 numbers: 1; 5; 10; One quarter of R180 =. 8. Round off to the nearest How many twelves in 108? 2. The boiling point of water is. 3. Write half as a percentage. 4. Twenty percent of R50 = divided by 7. What is the remainder? 6. Write seven multiples of nine after eighteen. 7. Write three hundredths as a decimal. 8. The smallest angle is a(n) A tin of baked beans has a mass of: 450g; 450kg or 45g? 2. Write the number seventy thousand and six. 3. Write the smallest six digit number using a 2; 6; 8; 0; 5; The distance around the outside of a circle is called the. 5. Write from heaviest to lightest: 1 kg; 100g; 250g; 1 kg. 2 5

51 51 6. True or false: a circle has only one side. 7. A number multiplied by nine gives seventy two. What is the number? 8. What is the value of the underlined digits in Write the next four numbers. 1 2 l 1l 11 2 l Informal Assessment 1. Data handling. Study the bar graph and answer the questions. a. How many learners were surveyed? b. Which career is most popular? c. Which career is least popular? d. What is the difference between the number of learners who want to be doctors and the number who want to be athletes? 2. Find the mode and the median of the following numbers: 12; 16; 22; 12; 8; 12; 16; 13; 15; 12; 19; 16; 12; 11; 10; 9; Numeric patterns. Write the correct rule for each flow diagram. a b. Rule: Rule:

52 52 3. Copy and complete. input output Rule: 4. Copy and complete. 2; 6; 18; 54; ; ; ; ; ; Rule:. 5. Length. Copy and complete the table. m cm mm m and cm a. 25,25 b. 410 c d. 6m 20cm 6. Word problems. The teacher bought material to school to make costumes for the concert. She bought: 2 1 m of blue material m of yellow material m of red material and 8 3 m of green material. 4 How many metres and centimetres of material did she buy altogether? 7. Use Table 1 to calculate the distances a. Bloemfontein to Durban. b. Kimberley to Cape Town. c. Johannesburg to Beaufort West. d. On holiday, John travelled from Colesburg to Beaufort West to Cape Town to Mossel Bay to East London and back to Colesburg. e. How many km did John travel altogether?

53 Table 1 53