Fourth Class
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Objective

Number

1. Place value. To explore and identify place value in whole numbers from 0 – 999.
Example 1:  342     Example 2:  913
2. To explore and identify place value in whole numbers, 0 – 9999
Example 1: 1078  ; Example 2: 6,789
3. To read, write and order three digit numbers.
Example 1: What is the next number after 499? ; Example 2: Put these numbers in ascending order – 421, 241, 142 and 214
4. To read, write and order four digit numbers and solve simple problems
Example 1: What is the largest number that can be made from 3,7, 0 6 ?
Example 2: Write 5683 in expanded form. (5,000 + 600 + 80 +3)
5. To round whole numbers to the nearest 10 or nearest hundred.
Example 1: 26, 13, 35; Example 2: 342, 258 and 850
6. Round whole numbers to the nearest thousand.
Example 1: Which number is nearer  to 5,000 ?  4328 or 5675?
Example 2: Which number is nearer to 1,000 ? 576 or 1564?
7. To explore and identify place value in decimals to one place of decimals.
Example 1: 0.3 ;  Example 2: 496.7
8. To explore and identify place value in decimals to two places of decimals
Example 1:  Value of 7 in 503.76  ; Example 2: Value of 9 in 500.09

Operations

9. Add and subtract without and with renaming within 999.
Example 1: 946 – 225;  400 + 120 + 366;  Example 2: 401 – 234 ; 713 + 94 + 109
10. Add and subtract without and with renaming within 9999
Example 1: 5,289 + 252 + 758
Example 2: 5,002 – 4,976
Importance of estimation, check answers with calculator
11. Know and recall addition and subtraction facts
Addition and subtraction tables to be taught; drills and patterns to be taught as oral work
12. Solve word problems involving addition and subtraction (single step and multi-step)
Example 1: A farmer had 104 sheep. He bought 69 sheep. How many has he then?
Example 2: A farmer had 230 hectares. He sold 95 hectares. How many hectares has he then?
Example 3: There are 157 boys attending a school. There are 16 more girls. How many pupils in the school?
Example 4: A milkman has 402 cartons, He sold 27 to one shop and 16 to another shop. How many has he left?
Teaching strategies for problem solving
13. Develop an understanding of multiplication as repeated addition and vice versa.
Example 1: 2 +2 +2 =    ; Example 2:  3 x 2 =
14. Explore, understand and apply the zero, commutative and distributive properties of multiplication.
Example 1: Tick the correct answer : 5 x 0 = 5, 1, 5.
Example 2: 5 x 2 =    ? x 5
Example 3: 5 x 4 = (3 x 4) + (___  x 4)
Example 4: 7 x 14 = (3 x 14) + ( ____  x 14)
15. Develop and / or recall multiplication facts within 1000 counting in 2’s, 3’s, 4’s etc
Assessment: Informal
16. Multiply a one digit or two digit number by 0 – 10.
Example 1: 13 x 3; Example 2: 25 x 6;  Example 3: 24 x 7; Example 4 : 99 x 9 
17. Multiply a two digit number or three digit number by a one or two digit number
Example 1:  25 x 36  ; Example 2:  127 x 27
18. Solve and complete practical tasks and problems involving multiplication of whole numbers.
Example 1: How many days in 9 weeks.  Example 2: There are 47 crayons in a box. How many in 8 boxes? Example 3: A farmer has 52 sheep. Another farmer has 4 times as many. How many sheep have they altogether?
19. 35 children buy  1 packet of sweets each per day. How many packets will they buy during the month of March

Division

20. To develop an understanding of division as sharing and as repeated subtraction, without and with remainders.
Informal assessment
21. To develop and / or recall division facts within 100
Informal assessment
22. To divide a one digit number or two digit number by a one digit number, with or without remainders.
Example 1: 20 ÷ 4; Example 2: 35 ÷ 5; Example 3: 28 ÷ 3
Example 4: 85 ÷ 4; Example 5: 97 ÷ 5; Example 6: 61 ÷ 3
23. To divide a three digit number by a one digit number with and without renaming.
Example 1: 396 ÷ 9; Example 2: 409 ÷ 8
24. Explore and apply the distributive property of division.
Example 1:  96 ÷ 8  =  (80 ÷ 8)  + (? ÷ 8)
25. Solve and complete practical tasks and problems involving division of whole numbers.
Example 1: 81 marbles were shared equally among 9 children. How many did each get?
Example 2: How many boxes each containing 6 eggs can be filled from a container that holds 5o eggs? How many eggs will be left over?
Example 3: How many bags containing 7 balloons can be made from 43 red balloons and 41 green balloons?

Strand Unit

Fractions

26. Identify fractions and equivalent forms of fractions with denominators 2, 4, 8 and 10.
27. Identify fractions and equivalent forms of fractions with denominators, 3, 5, 6. 9 and 12

Example 1: What part is shaded ?

Example 2: Shade 1/10 of this figure.

Example 3: Shade 5/8 of this figure.

Example 4: What fraction is shaded ?

Example 5: What fraction is shaded ?

28. To compare and order fractions with appropriate denominators and position on the number line.
29. To calculate a fraction of a set using concrete materials

30. To develop an understanding of the relationship between fractions and division
Example 1: ¼ of 32 = 
Example 2: 1/8 of 64 =
Example 3: 32 ÷ 4 =
Example 4: 64 ÷ 8 =
31. To calculate a unit fraction of a number and calculate a number, given a unit fraction of a number.
Example 1: ¼ of a number =3. What is the number?
Example 2: 1/10 of a number = 9. What is the number?
32. Calculate a number, given a multiple fraction of the number
Example 1: 4/5 of a number is 16.  What is the number?
Example 2: 5/9 of a number is 45. What is the number?
33. Express one number as a fraction of another number.
Example 1:  4 = ? of 16.
34. To solve and complete practical tasks and problems involving fractions.
Example 1: Find 1/5 of 2,500 metres.
Example 2: Find ¾ of 1 metre
Resources needed for practical tasks.

Strand Unit

Decimals

35. Identify 1/10’s and express in decimal form
36. Express hundredths as decimals and fractions
Example 1:   7/100 = 
Example 2:  ¼ = ?/100 = 
37. Order decimals on the number line

Example

38. Identify place value of whole numbers and decimals to two places and write in expanded form.
Example:  3.45 = 3 + ? + ? = 3  ? /100
39. Identify the number with the greatest value.
Example 1: 0.57, 0.10, 0.72, 0,25
Example 2: What value has the 6 in each of the following?
4.65, 2.76, 6.05
40. Add whole numbers and decimals up to two places.
Example 1: 2.56 + 2.4 + 3
Example 2: 5.98 + 7 + 0.3
41. Subtract whole numbers and decimals up to two places.
Example 1:  6.91 – 4. 75Example 2: 5.00 – 2.56
42. Multiply a decimal number up to two places by a single digit whole number.
Example 1: 4.5 x 9
Example 2: 4.67 x 4
43. Divide a decimal number up to two places by a single digit whole number.
Example 1: 2.5 ÷
5
Example 2: 15.47 ÷
7
44. Solve problems involving decimals
Example 1: 2 pieces of pipe were joined . One pipe was 15.4m and the other pipe was 16.7m. What was the length of the two pipes together?
Example 2:  A bag of apples weighs 2.86kg. What is the weight of 8 bags?

Algebra

Unit, Number Patterns and Squares

45. Explore, recognise and record patterns in number, 0 – 999
46. Explore, recognise and record patterns in number, 0 - 9999
47. To explore, extend and describe arithmetic and geometric sequences.
Example 1: 1, 5, 9, 13, __, ___.
Example 2:  81, 27, 9, __
48. Use patterns as an aid in the memorisation of number facts.
Resources: Excel number patterns; 100 squares
Assessment: Informal

Strand Unit

Number Sentences

49. Translate an addition or subtraction number sentence with a frame into a word problem.
Example 1: 3 + 7 = . Mary has three sweets. She gets seven more. How many has she now?
Example 2: 900 - ______ = 460. Make up a problem.
50. Translate a one step problem into a number sentence
Example: John has 24 cars. He wants to arrange them in rows of 8. Write the number sentence
51. Solve one step number sentences.
Example 1: 400 - _______ = 350
Example 2:  810 + 23 =
52. Discuss and record solutions for open number sentences.
Example 1:  3 +  ? < 9.
Example 2: 5 + ? > 8

Strand Unit

Shape and Space

53. Identify, describe and classify 2D shapes (square, rectangle, triangle, hexagon, circle, semi-circle, oval and irregular shapes.
Informal assessment – match word to shape
54. Identify, describe and classify 2 D shapes: Equilateral, isosceles, scalene triangles; parallelogram, rhombus, pentagon and octagon
55. Explore, describe and compare the properties (sides, angles, parallel and non-parallel) of 2D shapes.
Assessment: How many sides has a ______?
56. Construct and draw 2D shapes using templates, stencils, geo-strips and geo-boards
57. Construct and draw 2D shapes using ruler and set square
58. Combine, tessellate and make patterns with 2D shapes
Use computer software
59. Identify the use of 2D shapes in the environment.
Assessment: Draw house / signs
60. Solve and complete practical tasks and problems involving 2D shapes.

Strand Unit

3D Shapes

61. Identify, describe and classify 3D shapes, including cube, cuboid, cylinder, cone, sphere, triangular prism and pyramid.
62. Explore, describe and compare the properties of 3D shapes
63. Establish and appreciate that when prisms are sliced through each face in equal in shape and size.
Practical work using plasticine, food packages.
64. Explore and describe the relationship of 3D shapes with constituent 2D shapes.
65. Construct 3D shapes – trace around nets
66. Construct 3 D shapes from 2D shapes
67. Solve and complete practical tasks and problems using 2D and 3D shapes.
68. Identify the use of 3D shapes in the environment

Strand Unit

Symmetry

69. Identify line symmetry in the environment
70. Identify and draw lines of symmetry in 2 D shapes
71. Identify lines of symmetry as horizontal, vertical or diagonal.
Use examples from the environment – open book, window, gates
72. Use understanding of line symmetry to complete missing half of a shape, picture or picture.

Strand Unit

Lines and Angles

73. Identify, describe and classify vertical, horizontal and parallel lines
74. Identify, describe and classify oblique and perpendicular lines
75. Recognise an angle in terms of rotation
76. Draw, discuss and describe intersecting lines and angles – perpendicular and oblique lines; obtuse, acute and right angles.
Example 1: Which of these angles is obtuse?
Example 2: Which of these angles is acute?
77. Classify angles as greater than, less than or equal to a right angle
78. Solve problems involving lines and angles
Example 1: What is the smallest angle formed by the hands of the clock at 3.00 ?
Example 2: What is the smallest angle formed by the hands of the clock at twenty to three?

Strand Unit

Length

79. Estimate, compare, measure and record lengths of a wide variety of objects using appropriate metric units
80. Estimate, compare, measure and record lengths of doors, corridors, school yard, playing  field and drives  - use trundle wheel, tape measures
81. Re-name units of length in metres and centimetres
Example 1: 125 cm = 1m  25cm
Example 2: 2m 3 cm = 203 cms
82. Rename units of length using decimal or fraction form.
Example 1: 25 cm = 0.25m = ¼ m
Example 2: 2km 150m  = 2150m = 2.15 km
83. Understand, estimate and measure the perimeter of regular 2D shapes
84. Solve and complete practical tasks and problems involving the addition and subtraction of units of length (m and cm)
85. Solve and complete practical tasks and problems involving the addition, subtraction, multiplication and simple division of units (m, cm and km)

Strand Unit

Area

86. Estimate, compare and measure the area of regular and irregular shapes
87. Use standard square units : sq cm, sq m (m and cm)

Strand Unit

Weight

88. Estimate, compare, measure and record the weight of a wide variety of objects using appropriate metric units (kg and g)
Need to know:  1000g = 1kg
89. Become familiar with major and minor markings on scales – 100g, ½ kg, ¼ kg.
90. Rename units of weight in kg and g.
Example 1: 2kg 250 g = 2250g
91. Rename units of weight using decimal or fraction form.
Example 1: 500g = ½ kg = 0.5 kg
Confine examples to 2 places of decimals
92. Solve and complete practical tasks and problems involving the addition and subtraction of units of weight (kg and g)
Do not combine kg and g in same sum in 3rd Class
93. Solve and complete practical tasks and problems involving the addition, subtraction, multiplication and simple division of units of weight (kg and g)

Strand Unit

Capacity

94. Estimate, compare, measure and record the capacity of a wide variety of objects using appropriate metric units (litres, 250ml and 500ml).
95. Become familiar with the major and minor markings on measuring containers – 100ml, ½ l, ¾ l, ¼ l.
96. Rename units of capacity in litres and ml
Example 1: 1250ml = 1l  250m
97. Rename units of capacity using fraction and decimal form. (Confine to 2 places of decimals)
Example: 2 ¼ l = 2. 25 l = 2250 ml
98. Solve and complete practical tasks and problem involving the addition and subtraction of units of capacity,
Do not combine litres and ml in 3rd Class.
99. Solve and complete practical tasks and problems involving multiplication and simple division of units of capacity. (l and ml)

Strand Unit

Time

100. Consolidate and develop a sense of time passing
101. Read time in five minute intervals on analogue and digital clocks
102. Read time in one minute intervals on analogue and digital clocks
103. Read time in analogue and digital forms
104. Express digital time as analogue time and vice versa.
105. Read and interpret simple time tables
106. Rename minutes as hours and minutes
Example: 70 minutes = ?
Restrict to 1 hr 55 minutes in 3rd Class
107. Read dates from calendars and express weeks as days and vice versa
108. Solve and complete practical tasks and problems involving time
109. Solve and complete practical tasks and problems involving time and dates and the addition and subtraction of hours and minutes
Add hours and minutes separately
2 hours 40 minutes
+ 3 hours 30 minutes
5 hours 70 minutes
= 6 hours 10 minutes

Rename before subtraction

5 hours 20 minutes 

=

  4 hours 80 minutes
- 1 hour  40 minutes - 1 hour  40 minutes
  3 hours 40 minutes

Money

110. Rename amounts of money as euro and cent using € symbol and decimal point.
111. Solve and complete one step problems and tasks involving the addition and subtraction of money.
112. Solve and complete one step and two step problems involving the addition, subtraction, multiplication and division of money.

Representing and interpreting data

Data

113. Collect, organise and represent data using pictograms, block graphs and bar charts
114. Incorporate the scales 1:2, 1:5, 1:10 and 1: 100
115. Read and interpret tables, pictograms, block graphs and bar charts
116. Read pie charts using ½, 1/3 and ¼.
117. Use data sets to solve and complete practical tasks and problems

Chance

118. Use vocabulary of uncertainty and chance: possible, impossible, might, certain, not sure.
119. Use vocabulary of uncertainty and chance: chance, unlikely, likely, never and definitely.
120. Order events in terms of likelihood of occurrence.
121. Identify and record outcomes of simple random processes.

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