RATIONALIZED GRADE 10 MATHEMATICS SCHEMES OF WORK TERM 1
| WK | LSN | STRAND | SUBSTRAND | SPECIFIC LEARNING OUTCOME | LEARNING EXPERIENCES | KEY INQUIRY QUESTION
|
LEARNING RESOURCES | ASSESSMENT METHODS | REFL |
| 1 | 1 | NUMBERS AND ALGEBRA | Numbers
Classification of numbers Reciprocal of numbers
|
By the end of the lesson the learner should be able to:-
-identify the meaning of real numbers -classify whole numbers as odd,even,prime and composite in different situations -promote the use of real numbers in day to day activities |
The learner is guided to:-
-identify the meaning of real numbers -classify whole numbers as odd,even,prime and composite in different situations
|
what are odd numbers? | Grade 10 Mathematics Curriculum design | oral questions
written questions |
|
| 2 | NUMBERS AND ALGEBRA | Numbers
Classification of numbers Reciprocal of numbers
|
-identify rational and irrational numbers
-classify real numbers as rational and irrational in different situations -promote the use of real numbers in day to day activities |
-identify rational and irrational numbers
-classify real numbers as rational and irrational in different situations
|
what is the difference between rational and irrational numbers?
|
Grade 10 Mathematics Curriculum design | oral questions
written questions |
||
| 3 | NUMBERS AND ALGEBRA | Numbers
Classification of numbers Reciprocal of numbers
|
-identify rational and irrational numbers
-classify real numbers as rational and irrational in different situations -promote the use of real numbers in day to day activities |
-identify rational and irrational numbers
-classify real numbers as rational and irrational in different situations
|
give 3 examples of rational numbers? | Grade 10 Mathematics Curriculum design | oral questions
written questions |
||
| 4 | NUMBERS AND ALGEBRA | Numbers
Classification of numbers Reciprocal of numbers
|
-identify real numbers
-work out the reciprocal of real numbers by division -promote the use of real numbers in day to day activities |
-identify real numbers
-work out the reciprocal of real numbers by division
|
how do we use real numbers in day to day activities? | Grade 10 Mathematics Curriculum design | oral questions
written questions |
||
| 5 | NUMBERS AND ALGEBRA | Numbers
Classification of numbers Reciprocal of numbers
|
-identify real numbers
-work out the reciprocal of real numbers by division -promote the use of real numbers in day to day activities |
-identify real numbers
-work out the reciprocal of real numbers by division
|
how do we use real numbers in day to day activities? | Grade 10 Mathematics Curriculum design | oral questions
written questions |
||
| 2 | 1 | NUMBERS AND ALGEBRA | Numbers
Classification of numbers Reciprocal of numbers
|
-determine the reciprocal of real numbers by use of mathematical tables and calculators
-apply reciprocal of real numbers in mathematical computations -promote the use of real numbers in day to day activities |
-determine the reciprocal of real numbers by use of mathematical tables and calculators
-apply reciprocal of real numbers in mathematical computations
|
what is reciprocal of a number? | Grade 10 Mathematics Curriculum design | oral questions
written questions |
|
| 2 | NUMBERS AND ALGEBRA | Numbers
Classification of numbers Reciprocal of numbers
|
-determine the reciprocal of real numbers by use of mathematical tables and calculators
-apply reciprocal of real numbers in mathematical computations -promote the use of real numbers in day to day activities |
-determine the reciprocal of real numbers by use of mathematical tables and calculators
-apply reciprocal of real numbers in mathematical computations
|
how do we get the reciprocal of a number?
|
Grade 10 Mathematics Curriculum design | oral questions
written questions |
||
| 3 | NUMBERS AND ALGEBRA | Indices and Logarithms to base 10
Applications of indices and logarithms
|
-express numbers in index form
-derive the laws of indices using factors -appreciate the use of indices and common logarithms in mathematical computations |
-express numbers in index form
-derive the laws of indices using factors
|
which are the laws of indices? | Grade 10 Mathematics Curriculum design | oral questions
written questions |
||
| 4 | NUMBERS AND ALGEBRA | Indices and Logarithms to base 10
Applications of indices and logarithms
|
-express numbers in index form
-derive the laws of indices using factors -appreciate the use of indices and common logarithms in mathematical computations |
-express numbers in index form
-derive the laws of indices using factors
|
which are the laws of indices? | Grade 10 Mathematics Curriculum design | oral questions
written questions |
||
| 5 | NUMBERS AND ALGEBRA | Indices and Logarithms to base 10
Applications of indices and logarithms
|
-generate laws of indices
-use laws of indices to work out mathematical computations -appreciate the use of indices and common logarithms in mathematical computations |
-generate laws of indices
-use laws of indices to work out mathematical computations
|
how do we work out mathematical computation using laws of indices? | Grade 10 Mathematics Curriculum design | oral questions
written questions |
||
| 3 | 1 | NUMBERS AND ALGEBRA | Indices and Logarithms to base 10
Applications of indices and logarithms
|
-generate laws of indices
-use laws of indices to work out mathematical computations -appreciate the use of indices and common logarithms in mathematical computations |
-generate laws of indices
-use laws of indices to work out mathematical computations
|
how do we work out mathematical computation using laws of indices? | Grade 10 Mathematics Curriculum design | oral questions
written questions |
|
| 2 | NUMBERS AND ALGEBRA | Indices and Logarithms to base 10
Applications of indices and logarithms
|
-relate index notation to logarithm notation to base 10
-determine common logarithms of numbers from mathematical tables and calculators -appreciate the use of indices and common logarithms in mathematical computations |
-relate index notation to logarithm notation to base 10
-determine common logarithms of numbers from mathematical tables and calculators
|
why do we use indices and logarithms? | Grade 10 Mathematics Curriculum design | oral questions
written questions |
||
| 3 | NUMBERS AND ALGEBRA | Indices and Logarithms to base 10
Applications of indices and logarithms
|
-relate index notation to logarithm notation to base 10
-determine common logarithms of numbers from mathematical tables and calculators -appreciate the use of indices and common logarithms in mathematical computations |
-relate index notation to logarithm notation to base 10
-determine common logarithms of numbers from mathematical tables and calculators
|
why do we use indices and logarithms? | Grade 10 Mathematics Curriculum design | oral questions
written questions |
||
| 4 | NUMBERS AND ALGEBRA | Indices and Logarithms to base 10
Applications of indices and logarithms
|
-apply common logarithms in multiplication,
division, powers and roots of numbers -use digital devices or other resources to work out mathematical tasks involving common logarithms -appreciate the use of indices and common logarithms in mathematical computations |
-apply common logarithms in multiplication,division,powers and roots of numbers
-use digital devices or other resources to work out mathematical tasks involving common logarithms
|
which digital devices can we use to work out logarithms? | Grade 10 Mathematics Curriculum design | oral questions
written questions |
||
| 5 | NUMBERS AND ALGEBRA | Indices and Logarithms to base 10
Applications of indices and logarithms
|
-apply common logarithms in multiplication,division,powers and roots of numbers
-use digital devices or other resources to work out mathematical tasks involving common logarithms -appreciate the use of indices and common logarithms in mathematical computations |
-apply common logarithms in multiplication,division,powers and roots of numbers
-use digital devices or other resources to work out mathematical tasks involving common logarithms
|
which digital devices can we use to work out logarithms? | Grade 10 Mathematics Curriculum design | oral questions
written questions |
||
| 4 | 1 | NUMBERS AND
ALGEBRA |
Quadratic Expressions and Equations
|
-form quadratic expressions from different situations
-derive the quadratic identities from the concept of area -appreciate the use of quadratic equations in real life |
-form quadratic expressions from different situations
-derive the quadratic identities from the concept of area
|
how do we form quadratic equations? | Grade 10 Mathematics Curriculum design | oral questions
written questions |
|
| 2 | NUMBERS AND
ALGEBRA |
Quadratic Expressions and Equations
|
-form quadratic expressions from different situations
-derive the quadratic identities from the concept of area -appreciate the use of quadratic equations in real life |
-form quadratic expressions from different situations
-derive the quadratic identities from the concept of area
|
how do we apply the concept of quadratic equations? | Grade 10 Mathematics Curriculum design | oral questions
written questions |
||
| 3 | NUMBERS AND
ALGEBRA |
Quadratic Expressions and Equations
|
-apply quadratic expressions in numerical cases
-factorise quadratic expressions in different situations -appreciate the use of quadratic equations in real life |
-apply quadratic expressions in numerical cases
-factorise quadratic expressions in different situations life |
how do we apply the concept of quadratic equations? | Grade 10 Mathematics Curriculum design | oral questions
written questions |
||
| 4 | NUMBERS AND
ALGEBRA |
Quadratic Expressions and Equations
|
-apply quadratic expressions in numerical cases
-factorise quadratic expressions in different situations -appreciate the use of quadratic equations in real life |
-apply quadratic expressions in numerical cases
-factorise quadratic expressions in different situations life |
how do we apply the concept of quadratic equations? | Grade 10 Mathematics Curriculum design | oral questions
written questions |
||
| 5 | NUMBERS AND
ALGEBRA |
Quadratic Expressions and Equations
|
-form quadratic equations in different situations
-solve quadratic equation by factorization -appreciate the use of quadratic equations in real life |
-form quadratic equations in different situations
-solve quadratic equation by factorization
|
how do we form quadratic equations? | Grade 10 Mathematics Curriculum design | oral questions
written questions |
||
| 5 | 1 | NUMBERS AND
ALGEBRA |
Quadratic Expressions and Equations
|
-form quadratic equations in different situations
-solve quadratic equation by factorization -appreciate the use of quadratic equations in real life |
-form quadratic equations in different situations
-solve quadratic equation by factorization
|
how do we form quadratic equations? | Grade 10 Mathematics Curriculum design | oral questions
written questions |
|
| 2 | NUMBERS AND
ALGEBRA |
Quadratic Expressions and Equations
|
-form quadratic equations in different situations
-solve quadratic equation by factorization -appreciate the use of quadratic equations in real life |
-form quadratic equations in different situations
-solve quadratic equation by factorization
|
how do we form quadratic equations? | Grade 10 Mathematics Curriculum design | oral questions
written exercise |
||
| 3 | NUMBERS AND
ALGEBRA |
Quadratic Expressions and Equations
|
-factorise quadratic expressions
-form quadratic equations in different situations -appreciate the use of quadratic equations in real life |
-factorise quadratic expressions
-form quadratic equations in different situations
|
how do we factorise quadratic equations? | Grade 10 Mathematics Curriculum design | oral questions
written exercise |
||
| 4 | NUMBERS AND
ALGEBRA |
Quadratic Expressions and Equations
|
-factorise quadratic expressions
-form quadratic equations in different situations -appreciate the use of quadratic equations in real life |
-factorise quadratic expressions
-form quadratic equations in different situations
|
how do we factorise quadratic equations? | Grade 10 Mathematics Curriculum design | oral questions
written exercise |
||
| 5 | MEASUREMENTS AND GEOMETRY | Similarity and enlargement
Similarity Enlargement Scale Application of similarity and enlargement
|
-identify the properties of similar figures and enlargement
-determine the center of enlargement and the linear scale factor for similar figures -appreciate the use of similarity and enlargement in real life situation |
-identify the properties of similar figures and enlargement
-determine the center of enlargement and the linear scale factor for similar figures
|
what are the properties of similar figures? | Grade 10 Mathematics Curriculum design | oral questions
written exercise |
||
| 6 | 1 | MEASUREMENTS AND GEOMETRY | Similarity and enlargement
Similarity Enlargement Scale Application of similarity and enlargement
|
-identify the properties of similar figures and enlargement
-determine the center of enlargement and the linear scale factor for similar figures -appreciate the use of similarity and enlargement in real life situation |
-identify the properties of similar figures and enlargement
-determine the center of enlargement and the linear scale factor for similar figures
|
what are the properties of similar figures? | Grade 10 Mathematics Curriculum design | oral questions
written exercise |
|
| 2 | MEASUREMENTS AND GEOMETRY | Similarity and enlargement
Similarity Enlargement Scale Application of similarity and enlargement
|
-construct the image of an object under an enlargement given the centre and linear the linear scale factor
-draw on the Cartesian plane the images of objects under enlargement given the centres and linear scale factors -appreciate the use of similarity and enlargement in real-life situations |
-construct the image of an object under an enlargement given the centre and linear the linear scale factor
-draw on the Cartesian plane the images of objects under enlargement given the centres and linear scale factors
|
how is similarity and enlargement applied in day to day life? | Grade 10 Mathematics Curriculum design | oral questions
written exercise |
||
| 3 | MEASUREMENTS AND GEOMETRY | Similarity and enlargement
Similarity Enlargement Scale Application of similarity and enlargement
|
-construct the image of an object under an enlargement given the centre and linear the linear scale factor
-draw on the Cartesian plane the images of objects under enlargement given the centres and linear scale factors -appreciate the use of similarity and enlargement in real-life situations |
-construct the image of an object under an enlargement given the centre and linear the linear scale factor
-draw on the Cartesian plane the images of objects under enlargement given the centres and linear scale factors
|
how is similarity and enlargement applied in day to day life? | Grade 10 Mathematics Curriculum design | oral questions
written exercise |
||
| 4 | MEASUREMENTS AND GEOMETRY | Similarity and enlargement
Similarity Enlargement Scale Application of similarity and enlargement
|
-determine the area and volume scale factor of different figures and solids
-relate linear scale factor,area scale factor and volume scale factor in enlargements -appreciate the use of similarity and enlargement in real-life situations |
-determine the area and volume scale factor of different figures and solids
-relate linear scale factor,area scale factor and volume scale factor in enlargements
|
how do linear scale factor relate to area scale factor? | Grade 10 Mathematics Curriculum design | oral questions
written exercise |
||
| 5 | MEASUREMENTS AND GEOMETRY | Similarity and enlargement
Similarity Enlargement Scale Application of similarity and enlargement
|
-determine the area and volume scale factor of different figures and solids
-relate linear scale factor,area scale factor and volume scale factor in enlargements -appreciate the use of similarity and enlargement in real-life situations |
-determine the area and volume scale factor of different figures and solids
-relate linear scale factor,area scale factor and volume scale factor in enlargements
|
what is the formula of linear scale factor? | Grade 10 Mathematics Curriculum design | oral questions
written questions |
||
| 7 | 1 | MEASUREMENTS AND GEOMETRY | Similarity and enlargement
Similarity Enlargement Scale Application of similarity and enlargement
|
-work out the ratio of volume of similar solids
-apply similarity and enlargement to real life situations -appreciate the use of similarity and enlargement in real-life situations |
-work out the ratio of volume of similar solids
-apply similarity and enlargement to real life situations
|
where do we apply similarity and enlargement to real life situations?
|
Grade 10 Mathematics Curriculum design | oral questions
written questions |
|
| 2 | MEASUREMENTS AND GEOMETRY | Similarity and enlargement
Similarity Enlargement Scale Application of similarity and enlargement
|
-work out the ratio of volume of similar solids
-apply similarity and enlargement to real life situations -appreciate the use of similarity and enlargement in real-life situations |
-work out the ratio of volume of similar solids
-apply similarity and enlargement to real life situations
|
where do we apply similarity and enlargement to real life situations?
|
Grade 10 Mathematics Curriculum design | oral questions
written questions |
||
| 3 | MEASUREMENTS AND GEOMETRY | Similarity and enlargement
Similarity Enlargement Scale Application of similarity and enlargement
|
-work out tasks involving similarity and enlargement in real life situations
-use digital devices to learn more on the use and application of similarity and enlargement -appreciate the use of similarity and enlargement in real-life situations |
-work out tasks involving similarity and enlargement in real life situations
-use digital devices to learn more on the use and application of similarity and enlargement
|
where do we apply similarity and enlargement to real life situations?
|
Grade 10 Mathematics Curriculum design | oral questions
written questions |
||
| 4 | MEASUREMENTS AND GEOMETRY | Similarity and enlargement
Similarity Enlargement Scale Application of similarity and enlargement
|
-work out tasks involving similarity and enlargement in real life situations
-use digital devices to learn more on the use and application of similarity and enlargement -appreciate the use of similarity and enlargement in real-life situations |
-work out tasks involving similarity and enlargement in real life situations
-use digital devices to learn more on the use and application of similarity and enlargement
|
which digital devices can we use to learn about similarity and enlargement? | Grade 10 Mathematics Curriculum design | oral questions
written exercise |
||
| 5 | Measurements and Geometry
|
Reflection and Congruence
Symmetry Reflection Equation of mirror lines Congruence
|
-identify lines of symmetry in plane figures
-determine the properties of reflection in different situations -appreciate use of reflection and congruence in real-life situations |
-identify lines of symmetry in plane figures
-determine the properties of reflection in different situations
|
how do we use reflection in day to day life? | Grade 10 Mathematics Curriculum design | oral questions
written exercise |
||
| 8 | MID ASSESSMENTS/MID TERM | ||||||||
| 9 | 1 | Measurements and Geometry
|
Reflection and Congruence
Symmetry Reflection Equation of mirror lines Congruence
|
-identify lines of symmetry in plane figures
-determine the properties of reflection in different situations -appreciate use of reflection and congruence in real-life situations |
-identify lines of symmetry in plane figures
-determine the properties of reflection in different situations
|
what are the properties of reflection? | Grade 10 Mathematics Curriculum design | oral questions
written exercise |
|
| 2 | Measurements and Geometry
|
Reflection and Congruence
Symmetry Reflection Equation of mirror lines Congruence
|
-draw an image given an object and a mirror line on plane surface and Cartesian plane
-determine the equation of the mirror line given an object and its image -appreciate use of reflection and congruence in real-life situations |
-draw an image given an object and a mirror line on plane surface and Cartesian plane
-determine the equation of the mirror line given an object and its image
|
where do we use congruence in real life? | Grade 10 Mathematics Curriculum design | oral questions
written exercise |
||
| 3 | Measurements and Geometry
|
Reflection and Congruence
Symmetry Reflection Equation of mirror lines Congruence
|
-draw an image given an object and a mirror line on plane surface and Cartesian plane
-determine the equation of the mirror line given an object and its image -appreciate use of reflection and congruence in real-life situations |
-draw an image given an object and a mirror line on plane surface and Cartesian plane
-determine the equation of the mirror line given an object and its image
|
where do we use congruence in real life? | Grade 10 Mathematics Curriculum design | oral questions
written exercise |
||
| 4
|
Measurements and Geometry
|
Reflection and Congruence
Symmetry Reflection Equation of mirror lines Congruence
|
-outline use of congruence in day to day life
-carry out congruence tests for triangles -appreciate use of reflection and congruence in real-life situations |
-outline use of congruence in day to day life
-carry out congruence tests for triangles
|
where do we use congruence in real life?
|
Grade 10 Mathematics Curriculum design | oral questions
written exercise |
||
| 5 | Measurements and Geometry
|
Reflection and Congruence
Symmetry Reflection Equation of mirror lines Congruence
|
-outline use of congruence in day to day life
-carry out congruence tests for triangles -appreciate use of reflection and congruence in real-life situations |
-outline use of congruence in day to day life
-carry out congruence tests for triangles
|
where do we use congruence in real life?
|
Grade 10 Mathematics Curriculum design | oral questions
written exercise |
||
| 10 | 1 | Measurements and Geometry
|
Reflection and Congruence
Symmetry Reflection Equation of mirror lines Congruence
|
-identify lines of symmetry in plane figures
-determine the properties of reflection in different situations -appreciate use of reflection and congruence in real-life situations |
-identify lines of symmetry in plane figures
-determine the properties of reflection in different situations
|
how do we use reflection in day to day life? | Grade 10 Mathematics Curriculum design | oral questions
written exercise |
|
| 2 | Measurements and Geometry
|
Rotation
Properties of rotation Rotation on different planes Rotational symmetry Rotation and congruence |
-determine the properties of rotation in different situations
-rotate an object given the center and angle of rotation on a plane surface and the Cartesian plane -appreciate the application of rotation in real-life situation |
-determine the properties of rotation in different situations
-rotate an object given the center and angle of rotation on a plane surface and the Cartesian plane
|
how is rotation applied in real life situations? | Grade 10 Mathematics Curriculum design | oral questions
written exercise |
||
| 3 | Measurements and Geometry
|
Rotation
Properties of rotation Rotation on different planes Rotational symmetry Rotation and congruence |
-determine the properties of rotation in different situations
-rotate an object given the center and angle of rotation on a plane surface and the Cartesian plane -appreciate the application of rotation in real-life situation |
-determine the properties of rotation in different situations
-rotate an object given the center and angle of rotation on a plane surface and the Cartesian plane
|
how is rotation applied in real life situations? | Grade 10 Mathematics Curriculum design | oral questions
written exercise |
||
| 4 | Measurements and Geometry
|
Rotation
Properties of rotation Rotation on different planes Rotational symmetry Rotation and congruence |
-determine the center and angle of rotation given an object and its image
-determine the order of rotational symmetry of plane figures -appreciate the application of rotation in real-life situation |
-determine the center and angle of rotation given an object and its image
-determine the center and angle of rotation given an object and its image
|
how do you determine the centre and angle of rotation? | Grade 10 Mathematics Curriculum design | oral questions
written exercise |
||
| 5 | Measurements and Geometry
|
Rotation
Properties of rotation Rotation on different planes Rotational symmetry Rotation and congruence |
-determine the center and angle of rotation given an object and its image
-determine the order of rotational symmetry of plane figures -appreciate the application of rotation in real-life situation |
-determine the center and angle of rotation given an object and its image
-determine the center and angle of rotation given an object and its image
|
how do you determine the center and angle of rotation? | Grade 10 Mathematics Curriculum design | oral questions
written exercise |
||
| 11 | 1 | Measurements and Geometry
|
Rotation
Properties of rotation Rotation on different planes Rotational symmetry Rotation and congruence |
-determine the center and angle of rotation given an object and its image
-determine the order of rotational symmetry of plane figures -appreciate the application of rotation in real-life situations |
-determine the center and angle of rotation given an object and its image
-determine the order of rotational symmetry of plane figures
|
how do we get the order of rotation? | Grade 10 Mathematics Curriculum design | oral questions
written exercise |
|
| 2 | Measurements and Geometry
|
Rotation
Properties of rotation Rotation on different planes Rotational symmetry Rotation and congruence |
-determine the center and angle of rotation given an object and its image
-determine the order of rotational symmetry of plane figures -appreciate the application of rotation in real-life situations |
-determine the center and angle of rotation given an object and its image
-determine the order of rotational symmetry of plane figures
|
how do we get the order of rotation? | Grade 10 Mathematics Curriculum design | oral questions
written exercise |
||
| 3 | Measurements and Geometry
|
Rotation
Properties of rotation Rotation on different planes Rotational symmetry Rotation and congruence |
-determine the center and angle of rotation given an object and its image
-determine the order of rotational symmetry of plane figures -appreciate the application of rotation in real-life situations |
-determine the center and angle of rotation given an object and its image
-determine the order of rotational symmetry of plane figures
|
How do we get the order of rotation? | Grade 10 Mathematics Curriculum design | oral questions
written exercise |
||
| 4 | Measurements and Geometry
|
Rotation
Properties of rotation Rotation on different planes Rotational symmetry Rotation and congruence |
-determine the axis and order of rotational symmetry in solids
-deduce congruence from rotation -appreciate the application of rotation in real-life situations |
-determine the axis and order of rotational symmetry in solids
-deduce congruence from rotation
|
How do we get the order of rotation? | Grade 10 Mathematics Curriculum design | oral questions
written exercise |
||
| 5 | Measurements and Geometry
|
Rotation
Properties of rotation Rotation on different planes Rotational symmetry Rotation and congruence |
-determine the axis and order of rotational symmetry in solids
-deduce congruence from rotation -appreciate the application of rotation in real-life situations |
-determine the axis and order of rotational symmetry in solids
-deduce congruence from rotation
|
how do we determine the axis? | Grade 10 Mathematics Curriculum design | oral questions
written exercise |
||
| 12&13 | REVISION/END OF TERM 1 ASSESSMENTS | ||||||||
