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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 | ||||||||
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