Wednesday, April 1, 2020

2020 Levels of Attainment - Maths: Grade 3


SUGGESTED LEVELS OF ATTAINMENT IN MATHEMATICS FOR GRADE THREE


NB:         Consideration is given to loss of time due to the Corona Virus.  However, The curriculum guide is spiral i.e. key concepts are introduced to students at a young age and repeatedly covered with increasing degrees of difficulty. G2  indicates what the student should be able to do upon completing Grade 2. In a normal school year there are about 200 school days (minus public holidays, school related breaks and breaks caused by natural disasters and pandemics)
The ninety five learning outcomes below represent minimum standards at this level, as with the exception of perimeter, the third term outcomes are not included.

Number Concepts

1.     Read numbers up to 999 written in words and symbols (Grade 2 – up to 99)
2.     Write numerals up to up to 999 using words and symbols. (Grade 2 – up to 99)
3.     Read and write ordinals up to 31st thirty-first
4.     Identify the ordinal position of an object in an arranged set
5.     Identify the object that is in a given ordinal position in an arranged set
6.     Count by 2’s, 5’s, 10’s, 20’s, 25’s, and 100’s. (Grade 2 - by 2’s, 5’s, 10’s, 20’s and 25’s)
7.     Identify the pattern in a sequence of numbers.
8.     Complete sequences in numbers. (Grade 2 – which involve counting by 2’s, 5’s, 10’s, 20’s, 25’s,)
9.     Identify the place value and total value of any digit in two- and three-digit numbers. (G2)
10.  Explain the difference between place value and total value.
11.  Write numbers with up to three digits in expanded notation. (Grade 2 – two digit numbers)
12.  Order two- and three-digit numbers (Grade 2 – two digit numbers)

13.  Explain the concepts of ‘even number’ and ‘odd number’.
14.  Classify odd and even numbers.
15.  Describe relationships between odd and even numbers.

16.  Round off two-digit numbers to the nearest ten
17.  Round off three-digit numbers to the nearest ten or hundred.

18.  Represent fractions of a whole or group, using concrete objects, pictures/diagrams, and numerals.
19.  Identify fraction of a whole or group. (Grade 2 - ½, 1/3, ¼, 1/5, 1/8, 2/3, 3/4)
20.  Explain the concept of a fraction.
21.  Explain the concepts of ‘numerator’ and denominator.
22.  Identify the numerator and denominator in a fraction.
23.  Compare unit fractions using the symbols ‘<’ and ‘>’. (Grade 2 compare pairs of two-digit numbers)
24.  Compare fractions with like denominators using the symbols ‘<’ and ‘>’.

Statistics
           
  1. Identify and describe situations in everyday life that involve data collection and data representation.
  2. State reasons why people collect data.
  3. Describe how to collect data using (a) observation and (b) interviewing. (G2)
  4. Explain when it is appropriate to use observation and interviews to collect data.
  5. Plan for data collection activities.
  6. Display data in simple pictograph, bar graphs (G2 – complete graphs)
  7.  Describe the characteristics of pictographs in which one picture represents one unit of data.
  8. Describe the characteristics of pictographs in which one picture represents more than one unit of data.
  9. Explain the concept of ‘tally chart’.
  10. Use tallies to construct a table.
  11. Use tally charts and tables to organize collected data.
  12. Read data presented in: tables, pictographs and bar graphs (G2)
  13. Interpret data presented in: tables, pictographs and bar graphs (G2)

Geometry

  1. Recognise / Identify  and name single 3D shapes – cone, sphere, cylinder, cube, cuboid
  2. Identify the faces, edges, and vertices of three-dimensional shapes. (G2)
  3. Recognise / Identify and name single 2D shapes – circle, square, rectangle, triangle (G2)
  4. Describe 2D shapes (squares, rectangles, and triangles) in terms of the number and length of their sides. (G2)
  5. Identify the plane figures (2D shapes) as seen in the faces of 3D shapes (cubes, cuboids, cylinders) (G2)
  6. Describe 3-D shapes in terms of the number of edges, vertices, and the number and type of faces.
  7. Sort examples of the cube, cuboid, cylinder, cone, and sphere.
  8. Identify and name examples of cubes, cuboids, cylinders, cones, and spheres. (G2)
  9. Identify similarities and differences between (a) the cube and the cuboid (b) the cylinder and the cone.

  1. Draw and label line segments e.g. line segment AB. (G2 – Draw curves and straight lines)
  2. Identify (a) curves and (b) straight line segments
  3. Explain the concept of (a) ‘open curve’ (b) ‘closed curve’.
  4. Identify and draw (a) open curves and (b) closed curves.


Computation (Operation and Relations)

1.      Create and solve problems involving addition of whole numbers, with totals up to 999. (G2 99)
2.      Determine the reasonableness of answers obtained from any of the four operations.
3.      Explain the regrouping process for addition.
4.      Add numbers with up to 3 digits, without regrouping. (G2 - 2 one-digit numbers or a two-digit to a one-digit)
5.      Add numbers with up to 3 digits, with regrouping in one column/place only.
6.      Add numbers with up to 3 digits, with regrouping in two columns/places only.

7.      Create and solve problems involving subtraction of numbers with up to three digits.(G2)
8.      Recall the basic facts for subtraction. (G2)
9.      Carry out subtraction involving numbers with up to three digits with and without regrouping in one place/column (G2)
10.   Carry out subtraction involving numbers with up to three digits with regrouping in two places/columns.

11.  Build up multiplication tables (2 to 10)
12.  Multiply 2 digit numbers by 2, 3, 4, 5, 6, 7, 8, 9,10 and 100 without regrouping (G2 -1 digit numbers)
13.  Multiply 2 digit numbers by 2, 3, 4, 5, 6, 7, 8, 9,10 and 100 with regrouping
14.  Multiply 2 and 3 digit numbers by multiples of 10 (up to 90), 2, 3, 4, 5
15.   Create and solve problems involving multiplication by one-digit numbers.(G2)

16.  Divide a three-digit number by a one-digit number, 10 and 20 (without regrouping and remainder)
17.  Divide a three-digit number by a one-digit number (with regrouping and remainder)

18.   Add two (or more) proper fractions (½, ¼, ⅛; ⅓, 1/6, 1/12) with like denominators. (G2 totals up to 1)
19.   Subtract two proper fractions with like denominators using (½, ¼, ⅛; ⅓, 1/6, 1/12)
20.   Calculate a fraction of a group of objects, using concrete objects or pictures /diagrams
21.   Find ½, ¼, ⅛;  ⅓, 1/6, 1/12  of a set      
22.   Create and solve problems involving addition of fractions and fractions of a group of objects. (G2)




Measurement

Money
1.     Identify and describe the coins in circulation. (G2)
2.     Identify and describe the $5, $10, $20, and $50 notes. (G2)
3.     Read and write amounts of money up to $999
4.     Use appropriate vocabulary to describe situations involving money, e.g. change, total cost, cost per item etc.
5.     Give coins and notes of equivalent value for amounts up to $20 / Represent amounts of money up to $50 using various combinations of notes, $1 coins, and other coins as necessary. (G2)
6.     Create and solve problems involving money e.g. shop and make change.
·       Calculate the change from amounts up to $20, (Grade 2 -from a $1.00)
·       Calculate the cost of a set of similar items given the cost of 1 item,
·       Calculate the cost of a set of items, with totals up to $20. (G2 - up to the total of a $1.00)

Time
7.     Tell the time on the 12 hour clock. (G2 – on the hour, half hour, and quarter hour)
8.     Find the length of time in hours, hours and half hours, hours and quarter hours that would elapse between given times and leave (start) and arrive (end) times.
9.     State and write dates at weekly intervals and in a variety of ways.
10.  Use appropriate vocabulary in description of real life situations involving time, e.g. earlier, later, now, noon, next week, in a week’s time, in an hour.
11.  Represent time on the hour, half-hour, quarter hour and 5-minute intervals. (G2)



12.  Select, name and use appropriate instruments to measure and record length, height, mass, and capacity of objects.
13.  Identify and use (select) the most appropriate unit to measure the length, mass, or capacity of given objects and give reasons for selection. (G2)
14.  Create and solve problems involving linear measurement and measurement of mass, capacity, and temperature. (G2)
15.  Estimate and measure, distances, length and height using the metre or the centimetre as the unit of measure. (G2)
16.  Explain why there is a need for a smaller unit of measure.
17.  Estimate and measure the mass of objects in kilograms or grams / Use the scale of balance to determine the mass     (G2)             
18.  Identify / describe situations in everyday/real life where:
a.      the kilogram and gram are used as units of measure. (G2)
b.     the litre and the centilitre are used as units of measure
19.  Compare the mass of two or three objects in Kg or G, the linear measures of two or three objects measured in metres or centimetres. (G2 – using heavier, lightest; longer, highest etc, and for temperature hot, coldest…)
20.  Estimate, measure and record capacity of containers in litres and millilitres (G2)
  1. Explain the concept of perimeter. *
  2. Use measurement and addition to calculate the perimeter of objects e.g. a square *

Kindly attend to outcome 21 and 22 earlier.

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