Wednesday, June 3, 2009

YEARLY LESSON PLAN MATHEMATICS FORM ONE

Learning Area/
Week Learning Objectives Learning Outcomes Teaching Aids / generic skills


1. Whole
Numbers


( 2 week )

Student will be taught to :

1. Understand the concept of whole numbers.



2. Perform computations involving addition and subtraction of whole numbers to solve problems.



3. Perform computations involving multiplication and division of whole numbers to solve problems.




4. Perform computations involving combined operations of addition, subtraction, multiplication and division of whole numbers to solve problems. Student will be able to

i. Count, read, and write whole numbers.
ii. Identify place value and value of each digit in whole numbers.
iii. Round off whole numbers.

i. Add whole numbers.
ii. Solve problems involving addition of whole numbers.
iii. Subtract whole numbers.
iv. Solve problems involving subtraction of whole numbers.

i. Multiply two or more numbers.
ii. Solve problems involving multiplication of whole numbers.
iii. Divide a whole number by a smaller whole numbers.
iv. Solve problems involving division of whole numbers.

i. Perform computations involving any combinations involving any combination of addition, subtraction, multiplication and division of whole numbers, including the use of brackets.
ii. Solve problems involving combined operations of addition, subtraction, multiplication and division of whole numbers, including the use of brackets.
i. Mastery
Learning
ii. Constructivism
iii. Thinking Skill


Learning Area/
Week Learning Objectives Learning Outcomes Teaching Aids / generic skills


2. Number
Patterns and
Sequences



(3 week) Student will be taught to :

1. Recognize and extend number patterns and sequences formed by counting on and counting back in.


2. Recognize odd and even numbers and make general statement about them.

3. Understand the characteristic of prime numbers.


4. Understand and use the knowledge of multiples of whole number.

5. Understand the characteristics use the knowledge of common multiples and Lowest Common Multiple (LCM) of whole numbers. Student will be able to:-

i. Describe the pattern of given number
sequence.
ii. Extend number sequence.
iii. Complete missing terms in given number sequence
iv. Construct number sequence base on given patterns.

i. Identify and describe odd and even numbers.
ii. Make general statements about odd and even
numbers.

i. Identify the characteristics of prime number.
ii. Determine whether a given number is a prime number.
iii. Determine all the prime numbers less then 100.

i. List the multiples of whole numbers.
ii. Determine whether a number is the multiple of
another number.

i. Find the common multiples of two or three whole numbers.
ii. Determine whether a number is the common multiple of two or three given numbers.
iii. Determine the LCM of two or three given numbers.

Learning Area/
Week Learning Objectives Learning Outcomes Teaching Aids / generic skills


2. Number Patterns and Sequences.
Student will be taught to :

6. Understand the characteristics and use the knowledge of whole numbers.

7. Understand the characteristics and use the knowledge of prime factor of whole numbers.

8. Understand and use the knowledge of common factors and Highest Common Factors (HCF) of whole numbers.
Student will be able to:

i. List factors of whole numbers.
ii. Determine whether a number is a factor of
another whole numbers.


i. Identify prime factors from a list of factors.
ii. Find prime factor(s) of whole numbers.
iii. Determine whether a number is a prime factor a another whole number.

i. Find common factors of two or three whole numbers.
ii. Determine whether a number is a common factor of two or three given whole numbers.
iii. Determine the HCF of two or three given numbers.













Learning Area/
Week Learning Objectives Learning Outcomes Teaching Aids / generic skills

3. Fractions


( 4 Weeks )
Student will be taught to;-

1. Understand and knowledge
of fraction as part of a
whole.


2. Understand and use knowledge of equivalent fractions.




3. Understand the concept of mixed numbers and their representations.




4. Understand the concept of proper fractions and improper fractions.

Student will be able to:-

i. Read fractions.
ii. Describe fractions as part of a whole.
iii. Represent fractions with diagrams.
iv. Write fraction for given diagrams.

i. Find equivalent fractions for given fraction.
ii. Determine whether two given fractions are
equivalent.
iii. Compare the values of two given fractions.
iv. Arrange fractions in order.
v. Simplify fractions to the lowest term.

i. Recognize mixed numbers.
ii Represent mixed numbers with diagrams.
iii. Write missed numbers based on given
diagrams.
iv. Compare and order mixed numbers on number
lines.

i. Recognize proper and improper fractions from
given fractions.
ii. Change mixed numbers into improper fractions.
iii. Change improper fractions into mixed numbers.





Learning Area/
Week Learning Objectives Learning Outcomes Teaching Aids / generic skills

3. Fractions
Student will be taught to:

5. Understand the concept of addition and subtraction of fractions to solve problems









6. Understand the concept of multiplication and division of fractions to solve problems.
Student will be able to :

i. Perform addition involving:
a) Fraction with common denominators.
b) Fraction with different denominators.
c) Whole numbers and fractions
d) Fractions and mixed numbers.

ii. Perform subtraction involving:
a) Fraction with common denominators
b) Fraction with different denominators.
c) Whole numbers and fractions.
d) Fractions and mixed numbers.
e) Mixed numbers

i. Multiply :
a) A whole number by a fraction or mixed number.
b) A fraction by a whole number.
c) A fraction by a fraction (include mixed numbers)
ii. Solve problem involving multiplication of fraction.
iii. Divide :
a) A fraction by a whole number.
b) A fraction by a fraction.
c) A whole number by fraction.
d) A mixed number by mixed numbers.
iv. Solve problems involving division of fractions.

Learning Area/
Week Learning Objectives Learning Outcomes Teaching Aids / generic skills

3. Fractions
Student will be taught to :

7. Perform computations involving combined operations of addition, subtraction, multiplication and division of fractions to solve problems.
Student will be able to :

i. Perform computation involving combined operations of addition, subtraction, multiplication and division of fractions including the use of brackets.

ii. Solve problem involving combined operations of addition, subtraction, multiplication and division of fractions, including the use of brackets.





















Learning Area/
Week Learning Objectives Learning Outcomes Teaching Aids / generic skills

4. Decimals

( 2 Weeks )
Student will be taught to :

1. Understand the relationship between decimals and fraction.






2. Understand the concept of place value and value of digit in decimals.



3. Understand the concept of addition and subtraction of decimals to solve problems.
Student will be able to :

i. Represent fraction 1 and 1 as decimals and
10 100
vise - versa.
ii. Represent fractions with denominators 10, 100 and 1000 as decimals.
iii. Read and write decimals to thousandths.
iv. Change fraction to decimals and vise- versa.

i. State the place value and value of each digit in decimals.
ii. Compare the values of two given decimals.
iii. Arrange decimals in order.
iv. Round decimals to the nearest whole number or up to three decimal places.

i. Add decimals.
ii. Solve problems involving addition of decimals.
iii. Subtract decimals.
iv. Solve problems involving subtraction of
decimals.






Learning Area/
Week Learning Objectives Learning Outcomes Teaching Aids / generic skills

4. Decimals

( 2 weeks )
Student will be taught to :

4. Understand the concept of multiplication and division of decimals to solve problems.






5. Perform computations involving combined operations of addition, subtraction, multiplication and division of decimals to solve problems.
Student will be able to :

i. Multiply two or more decimals.
ii. Solve problems involving multiplications of decimals.
iii. Divide :
a) A decimals by a whole number.
b) A decimals by decimals.
c) A decimals by fraction.
iv. Solve problems involving division of decimals.


i. Perform computations involving combined operations of addition, subtraction, multiplication and division of decimals, including the use of brackets.
ii. Solve problems involving combined operations of addition, subtraction, multiplication and division of decimals, including the use of brackets.










Learning Area/
Week Learning Objectives Learning Outcomes Teaching Aids / generic skills

5. Percentages

(3 Weeks)












6. Integers


( 2 week )
Student will be taught to:-

1. Understand the concept of percentages and investigate the relationship between percentages and fraction or decimals.

2. Perform computations and solve problems involving percentages.



Student will be taught to:-

1. Understand and use the knowledge of integers.




2. Perform computations involving addition and subtraction of integers to solve problems.
Student will be taught to:-

i. Express percentages as the number of part in every 100.
ii. Change fractions and decimals to percentages and vise-versa.



i. Find the percentage of a quantity.
ii. Find the percentage one number is of another.
iii. Find the number given the percentage.
iv. Find the percentage of increase or decrease.
v. Solve problems involving percentages.

Student will be able to:-

i. Read and write integers.
ii. Represent integers on number lines.
iii. Compare the values of two integers.
iv. Arrange integers in order.
v. Write positive or negative numbers to
represent.

i. Add integers.
ii. Solve problems involving addition of integers.
iii. Subtract integers.
iv. Solve problems involving subtraction of integers.

Learning Area/
Week Learning Objectives Learning Outcomes Teaching Aids / generic skills

7. Algebraic Expressions

( 4 weeks )
Student will be taught to:-

1. Understand the concept of unknowns.


2. Understand the concept of algebraic terms.





3. Understand the concept of algebraic expression.
Student will be able to:-

i. Use alphabets to represent unknown numbers.
ii. Identify unknowns in given situations.


i. Identify algebraic terms with one unknown.
ii. Identify coefficients in given algebraic terms with one unknown.
iii. Identify like and unlike algebraic terms with one unknown.
iv. State like terms for a given term.

i Recognize algebraic expressions.
ii. Determine the number of terms in given algebraic expressions.
iii. Simplify algebraic expressions by combining the like terms.












Learning Area/
Week Learning Objectives Learning Outcomes Teaching Aids / generic skills
8. Basic
Measurements

(2 weeks) Student will be taught to:-
1. Understand the concept of length to solve problems.




2. Understand the concept of mass to solve problems.



3. Understand the concept of time in seconds, minutes, hours, days, weeks, months and years.





4. Understand and use times in the twelve-hour and twenty-four hour system to solve problem. Student will be able to:-
i. Measure the length of objects.
ii. Make conversions between metric units. (mm, cm, m, and km)
iii. Estimate lengths of objects in appropriate units.
iv. Use the four operations to solve problems involving length.

i. Measure the mass of objects.
ii. Make conversions between metric units. (mg, g, kg, tone)
iii. Estimate masses of objects in appropriate units.
iv. Use the four operations to solve problems involving mass.

i. Determine the appropriate measurement of time for certain even.
ii. Convert measurement of time in different unit (seconds, minutes, hours, days, weeks, month and years).
iii. Estimate the time intervals of events.
iv. Use the four operation to solve problems involving time.

i. Read and write times in twelve-hour system.
ii. Read and write times in twenty-four-hour system.
iii. Convert time in twelve-hour system to twenty-four-hour and vise-versa.
iv. Determine the interval between two given time.
v. Solve problems involving time.






























Learning Area/
Week Learning Objectives Learning Outcomes Teaching Aids / generic skills

9. Line and angles.

(4 weeks)
Student will be taught to:-


1. Understand the concept of angles.










2. Understand the concept of parallel and perpendicular lines.



3. Understand and use properties of angles associated with intersecting lines to solve problem.
Students should be able to:-


i. Recognize angles.
ii. Denote and label angles.
iii. Measure angles using protractors.
iv. Draw angles using protractor.
v. Recognize, compare and classify angles as acute, right and obtuse.
vi. Draw acute, right and obtuse angels using protractors.
vii. Determine angles on straight lines equal 180.
viii. Determine one whole turn is 360


i. Determine parallel lines.
ii. Determine perpendicular lines.
iii. State that angles formed by perpendicular line is 90.


i. Identify intersecting line.
ii. Determine the properties of vertical, complementary and supplementary angles.
iii. Determine the value of an angle on a line, given the adjacent angle.
iv. Solve problems involving angles formed by intersecting lines.


10. Polygons.

( 2 week ) Student will be taught to:-
1. Understand the
concept of polygons





2. Understand the concept of symmetry.




3. Identify and use the geometric properties of triangles to solve problem.





4. Identify and use the geometric properties of the quadrilaterals to solve problems.
Students should be able to:-
i. Recognize polygons.
ii. Name polygons (triangle, quadrilateral, pentagon, hexagon, heptagon and octagon)
iii. Determine the numbers of side, vertices and diagonals of given polygons.
iv. Sketch polygons.

i. Determine and draw the line(s) of symmetry of shapes.
ii. Complete shapes given part of the shapes and its line of symmetry.
iii. Draw designs using the concept of symmetry.

i. Determine and draw symmetry line(s) of given triangles.
ii. Draw triangles using protractors and rulers.
iii. State the geometric properties of the different types of triangles and name the triangles.
iv. Determine the sum of the angles of a triangle ins 180.
v. Solve problem involving triangles.

i. Determine and draw symmetry line(s) of given quadrilaterals.
ii. Draw a quadrilateral using protractors and rulers.
iii. State the geometric properties of the different types of quadrilaterals and name
quadrilaterals.
iv. Determine the sum of the angles of a quadrilateral is 360.
v. Solve problems involving quadrilaterals.
11. Perimeter and
Area.

( 2 weeks )
















12. Solid
Geometry

( 2 weeks ) Student will be taught to:-

1. Understand the concept of perimeter to solve problems.


2. Understand the concept of area of rectangles to solve problems.

3. Understand the concept of area of triangles, parallelograms and trapezium to solve problems.




1. Understand geometric properties of cube and cuboids.






2. Understand the
concept of volumes of
cuboids to solve
problems. Students should be able to:-

i. Identify the perimeter of a region.
ii. Find the perimeter of a region enclosed by straight lines.
iii. Solve problems involving perimeter.

i. Estimate the area of a shape.
ii. Find the area of a rectangle.
iii. Solve problems involving areas.

i. Identify the heights of triangles, parallelograms and trapezium.
ii. Find the areas of triangles, parallelograms and trapeziums.
iii. Find the areas of figures made up of triangles, parallelograms and trapeziums.
iv. Solve problems involving the area of triangles, parallelograms and trapeziums.

i. Identify geometric solids.
ii. State the geometric properties of cubes and cuboids.
iii. Draw cubes and cuboids on
a) Square grids
b) Blank papers
iv. Make models of cubes and cuboids by:
a) Combining given faces
b) Folding given layouts of solids.

i. Estimate the volume of cuboids.
ii. Find the volume of cuboids.
iii. Solve problems involving volume of cuboids.

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