Yearly Lesson Plan_form2

7/27/2019 Yearly Lesson Plan_form2

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2010 YEARLY LESSON PLAN (MATHEMATICS FORM TWO)WEEK LEARNING OBJECTIVES LEARNING OUTCOMES CCTS VOCABULARY

CHAPTER 1:DIRECTED NUMBERS

1.1 Perform computations involvingmultiplication and division ofintegers to solve problems.

i. Multiply integers.ii. Solve problems involving

multiplication of integers.iii. Divide integers.iv. Solve problems involving

division of integers.

identifyingrelationships

problem solving working mentally identifying patterns

- directed number- integer- positive- negative- like sign- unlike sign- undefined

1.2 Perform computations involvingcombined operations of addition,

subtraction, multiplication anddivision of integers to solveproblems.

i. Perform computationsinvolving combined operations

of addition, subtraction,multiplication and division ofintegers.

ii. Solve problems involvingcombined operations ofaddition, subtraction,multiplication and division ofintegers including the use ofbrackets.

- mixed operations- order of

operations

1.3 Extend the concept of integers tofractions to solve problems.

i. Compare and order fractions.ii. Perform addition, subtraction,

multiplication or division onfractions.

- fraction- compare- order- greater than- less than

1.4 Extend the concept of integers todecimals to solve problems.

i. Compare and order decimals.ii. Perform addition, subtraction,

multiplication or division ondecimals.

- decimal- sum- difference

1.5 Perform computations involvingdirected numbers (integers,fractions and decimals).

i. Perform addition, subtraction,multiplication or divisioninvolving two directednumbers.

ii. Perform computationsinvolving combination of two or

- plus- minus- multiply- divide- positive- negative


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more operations on directednumbers including the use ofbrackets.

iii. Pose and solve problemsinvolving directed numbers.

CHAPTER 2:SQUARES, SQUARE ROOTS,CUBES AND CUBE ROOTS2.1 Understand and use the concept

of squares of numbers.i. State a number multiplied by

itself as a number to the powerof two and vice-versa.

ii. Determine the squares ofnumbers without usingcalculators.

iii. Estimate the squares ofnumbers.

iv. Determine the squares ofnumbers using calculators.

v. List perfect squares.vi. Determine if a number is a

perfect square.vii. Pose and solve problems

involving squares of numbers.

working outmentally

estimate

classifying

problem solving

identifyingrelationships

evaluating

- square- product- power- expand- expanded form- reasonable- estimate- approximation

2.2 Understand and use theconceptof square roots of positivenumbers.

i. State the square root of apositive number as the numbermultiplied by itself equals to thegiven number.

ii. Determine the square roots ofperfect squares without usingcalculator.

iii. Determine the square roots ofnumbers without usingcalculators.

iv. Multiply two square roots.v. Estimate square roots of

numbers.vi. Find the square roots of

numbers using calculators.vii. Pose and solve problems

involving squares and squareroots.

- square- perfect square- square root- fraction

- decimal- denominator- numerator


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2.3 Understand and use the conceptof cube of numbers.

i. State a number multiplied byitself twice as a number to thepower of three and vice versa.

ii. Determine cubes of numberswithout using calculators.

iii. Estimate cubes of numbers.iv. Determine cubes of numbersusing calculators.

v. Pose and solve problemsinvolving cubes of numbers.

- cube- power- negative

number

2.4 Understand and use the conceptof cube roots of numbers.

i. State the cube root of anumber as the numbermultiplied by itself twice equalsto the given number.

ii. Determine the cube roots ofintegers without using

calculators.iii. Determine the cube roots ofnumbers without usingcalculators.

iv. Estimate cube roots ofnumbers.

v. Determine cube roots ofnumbers using calculators.

vi. Pose and solve problemsinvolving cubes and cuberoots.

vi. Perform computations

involving addition, subtraction,multiplication, division andmixed operations on squares,square roots, cubes and cuberoots.

- cube root- equal factors

CHAPTER 3:ALGEBRAIC EXPRESSIONS II3.1 Understand the concept of

algebraic terms in two or moreunknowns.

i. Identify unknowns in algebraicterms in two or moreunknowns.

ii. Identify algebraic terms in twoor more unknowns as theproduct of the unknowns with anumber.

working outmentally

conceptualizing

classifying

identify patterns problem solving

- algebraic term- algebraic

expression- coefficient

- unknown- like terms- unlike terms


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iii. Identify coefficients in givenalgebraic terms in two ormore unknowns.

iv. Identify like and unlikealgebraic terms in two or more

unknowns.v. State like terms for a givenalgebraic term.

identifyingrelationship

evaluating

3.2 Perform computations involvingmultiplication and division of twoor more terms.

i. Find the product of twoalgebraic terms.

i. Find the quotient of twoalgebraic terms.

ii. Perform multiplication anddivision involving algebraicterms.

- product- unknown- quotient

3.3 Understand the concept ofalgebraic expressions. i. Write algebraic expressions forgiven situations using lettersymbols.

ii. Recognise algebraicexpressions in two or moreunknowns.

iii. Determine the number of termsin given algebraicexpressions in two or moreunknowns.

iv. Simplify algebraic expressionsby collecting like terms.

v. Evaluate expressions bysubstituting numbers forletters.

- algebraicexpression- letter symbols- simplify- substitute- evaluate- like terms

3.4 Perform computations involvingalgebraic expressions.

i. Multiply and divide algebraicexpressions by a number.

ii. Perform:a) additionb) subtractioninvolving two algebraicexpressions.

iii. Simplify algebraic expressions.

- multiply- divide- add- subtract- simplify- like terms


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CHAPTER 4:LINEAR EQUATIONS4.1 Understand and use the concept

of equality.i. State the relationship between

two quantities by using thesymbols = or .

comparing andcontrasting

classifying

conceptualizing identifying

relationship

making inferences

problem solving

- equality- equals to

4.2 Understand and use the conceptof linear equations in oneunknown.

i. Recognise linear algebraicterms.

ii. Recognise linear algebraicexpressions.

iii. Determine if a given equationis:a) a linear equationb) a linear equation in one

unknown.iv. Write linear equations in one

unknown for given statements

and vice versa.

- linear algebraicterms

- algebraicexpression

4.3 Understand the concept ofsolutions of linear equations inone unknown.

i. Determine if a numerical valueis a solution of a given linearequation in one unknown.

ii. Determine the solution of alinear equation in one unknownby trial and improvementmethod.

iii. Solve equations in the form of:a) x + a = bb) x a = b

c) ax = bd) = b where a, b, c areintegers andx is anunknown.

iv. Solve equations in the forma) of ax + b = c, where a, b, c

are integers and x is anunknown.

v. Solve linear equations in oneunknown.

vi. Pose and solve problemsinvolving linear equations inone unknown.

- solution- root of- equation- numerical value


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CHAPTER 5:RATIOS, RATES ANDPROPORTIONS5.1 Understand the concept of ratio

of two quantities.

i. Compare two quantities in theform a : b or b/a .

ii. Determine whether given ratios

are equivalent ratios.iii. Simplify ratios to the lowestterms.

iv. State ratios related to a givenratio.

evaluating



problem solving

working mentally

- ratio- quantity- equivalent

- sum- difference- lowest terms- compare- part

5.2 Understand the concept ofproportion to solve problems.

i. State whether two pairs ofquantities is a proportion.

ii. Determine if a quantity isproportional to another quantitygiven two values of eachquantity.

iii. Find the value of a quantitygiven the ratio of the twoquantities and the value ofanother quantity.

iv. Find the value of a quantitygiven the ratio and the sum ofthe two quantities.

v. Find the sum of two quantitiesgiven the ratio of the quantitiesand the difference between thequantities.

vi. Pose and solve problems

involving ratios andproportions.

- proportion- ratio- sum- difference- proportional- cross multiplication

5.3 Understand and use the conceptof ratio of three quantities tosolve problems.

i. Compare three quantities inthe form a : b : c.

i. Determine whether given ratiosare equivalent ratios.

ii. Simplify ratio of threequantities to the lowest terms.

v. State the ratio of any twoquantities given ratio of threequantities.

vi. Find the ratio of a : b : c giventhe ratio of a : b and b : c.

vii. Find the value of the other

- Simplify- equivalent- lowest terms- value- sum- difference


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quantities, given the ratio ofthree quantities and the valueof one of the quantities.

viii. Find the value of each of thethree quantities given:

a) the ratio and the sum ofthree quantitiesb) the ratio and the difference

between two of the threequantities.

vii. Find the sum of threequantities given the ratio andthe difference between two ofthe three quantities.

viii. Pose and solve problemsinvolving ratio of threequantities.

CHAPTER 6:PYTHAGORAS THEOREM6.1 Understand the relationship

between the sides of a rightangled triangle.

i. Identify the hypotenuse ofright-angled triangles.

ii. Determine the relationshipbetween the lengths of thesides of a right-angled triangle.

iii. Find the length of the missingside of a right-angled triangleusing the Pythagoras theorem.

iv. Find the length of sides ofgeometric shapes usingPythagoras theorem.

v. Solve problems using thePythagoras theorem.


classifying

problem solving

- Pythagorastheorem

- hypotenuse- right-angled- triangle- side- missing side- Pythagorean- Triples- combined

geometric- shape

6.2. Understand and use theconverse

of the Pythagoras theorem.

i. Determine whether a triangle isa right-angled triangle.

ii. Solve problems involving theconverse Pythagoras theorem.

- obtuse angle- acute angle- converse

CHAPTER 7:GEOMETRICALCONSTRUCTIONS7.1 Perform constructions using

straight edge (ruler and set

i. Construct a line segment ofgiven length.

ii. Construct a triangle given the

construction

- construct- ruler- straight edge- set square


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square) and compass. length of the sides.iii. Construct:

a) perpendicular bisector of agiven line segment

b) perpendicular to a line

passing through a point onthe linec) perpendicular to a line

passing through a point noton the line.

iv. Construct:a) angle of 60and 120b) bisector of an angle.

v. Construct triangles given:a) one side and two anglesb) two sides and one angle.

vi. Construct:

a) parallel linesb) parallelogram given itssides and an angle.

- protractor- point- line segments- compass- side

- perpendicular- bisector- triangle- right-angled

triangle- equilateral triangle- isosceles triangle- scalene triangle- protractor- angle- equilateral- bisector

- compass- set square- parallel lines- parallelogram

CHAPTER 8:COORDINATES8.1 Understand and use the concept

of coordinates.i. Identify thex-axis, y-axis and

the origin on a Cartesian plane.ii. Plot points and state the

coordinates of the points givendistances from the y-axis and

x-axis.iii. Plot points and state the

distances of the points from they-axis andx-axis givencoordinates of the points.

iv. State the coordinates of pointson Cartesian plane.

characterizing making inferences visualizing identifying

relationship working out

mentally

- Cartesian plane- origin- x-axis- y-axis- coordinate- distance- position- square grid- plot- points- quadrant- horizontal- vertical- x-coordinate- y-coordinate

8.2 Understand and use the conceptof scales for the coordinateaxes.

i. Mark the values on both axesby extending the sequence ofgiven values on the axes.

ii. State the scales used in givencoordinate axes w here:

- scale- mark- extend- sequence- axes


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a) scales for axes are thesame

b) scales for axes aredifferent.

iii. Mark the values on both axes,

with reference to the scalesgiven.iv. State the coordinates of a

given point with reference tothe scales given.

v. Plot points, given thecoordinates, with reference tothe scales given.

vi. Pose and solve problemsinvolving coordinates.

- coordinate- plot- uniform- vertex

8.3 Understand and use the concept

of distance between two pointson a Cartesian plane.

i. Find the distance between two

points with:a) common y-coordinatesb) commonx-coordinates.

ii. Find the distance between twopoints using Pythagorastheorem.

iii. Pose and solve problemsinvolving distance between twopoints.

- distance

- point- common- positive- negative- parallel

- y-coordinate

- x-coordinate- Pythagoras

theorem.

8.4 Understand and use the conceptof midpoints.

i. Identify the midpoint of astraight line joining two points.

ii. Find the coordinates of themidpoint of a straight line

joining two points with:

a) common y-coordinates

b) common x-coordinates.

iv. Find the coordinates of themidpoint of the line joining twopoints.

v. Pose and solve problemsinvolving midpoints.

- midpoint

- x-coordinate

- y-coordinate- straight line

CHAPTER 9:LOCI IN TWO DIMENSIONS

9.1 Understand the concept of twodimensional loci. i. Describe and sketch the locusof a moving object.ii. Determine the locus of points

conceptualizing construction

- accuracy- route- locus


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that are of:a) constant distance from a

fixed pointb) equidistant from two fixed

points

c) constant distance from astraight lined) equidistant from two

intersecting lines.iii. Construct the locus of a set of

all points that satisfies thecondition:a) the point is at a constant

distance from a fixed pointb) the point is at equidistant

from two fixed pointsc) the point is at a constant

distance from a straightline

d) the point is at equidistantfrom two intersecting lines.

- loci- moving object- equidistant- points- fixed point

- straight line- perpendicular- distance- constant- intersecting lines- parallel lines- condition- set of points

9.2 Understand the concept of theintersection of two loci.

i. Determine the intersections oftwo loci by drawing the loci andlocating the points that satisfythe conditions of the two loci.

- ocate- satisfy- intersection

CHAPTER 10:CIRCLES10.1 Recognise and draw parts of a

circle.i. Identify circle as a set of points

equidistant from a fixed point.ii. Identify parts of a circle:

a) centerb) circumferencec) radiusd) diametere) chordf) arcg) sectorh) segment

iii. Draw :a) a circle given the radius

and centreb) a circle given the diameterc) a diameter passing through

construction

classifying identifying

relationship

problem solving

- circle- centre- circumference- radius- diameter- chord- sector- arc- segment- equidistant- point- fixed point


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a specific point in a circlegiven the centre.

d) a chord of a given lengthpassing through a point onthe circumference

e) sector given the size of theangle at the centre andradius of the circle.

iv. Determine the:a) centerb) radiusof a given circle byconstruction.

10.2 Understand and use theconcept

of circumference to solveproblems.

i. Estimate the value of .ii. Derive the formula of the

circumference of a circle.iii. Find the circumference of a

circle, given its:a) diameterb) radius.

iv. Find the:c) diameterd) radiusgiven the circumference of acircle.

v. Solve problems involvingcircumference of circles.

- radius- formula- ratio- constant

- pi- approximate- estimate- derive- circular object


of arc of a circle to solveproblems.

i. Derive the formula of thelength of an arc.

ii. Find the length of arc given theangle at the centre and theradius.

iii. Find the angle at the centregiven the length of the arc andthe radius of a circle.

iv. Find the length of radius of acircle given the length of thearc and the angle at the centre.

v. Solve problems involving arcsof a circle.

- arc- angle at thecentre- proportional- radius- circumference

10.4 Understand and use theconcept of area of a circle to

iv. Derive the formula of the areaof a circle.

- area- annulus


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solve problems. v. Find the area of a circle giventhe:a) radiusb) diameter.

vi. Find:

a) radiusb) diametergiven the area of a circle.

vii. Find the area of a circle giventhe circumference and viceversa.

viii. Solve problems involving areaof circles.

- radius


of area of sector of a circle to

solve problems.

i. Derive the formula of the areaof a sector.

ii. Find the area of a sector given

the radius and angle at thecentre.iii. Find the angle at the centre

given the radius and area of asector.

iv. Find the radius given the areaof a sector and the angle at thecentre.

v. Solve problems involving areaof sectors and area of circles.

- area- sector- angle at the

- centre- radius- circle- arc

CHAPTER 11:TRANSFORMATIONS11.1 Understand the concept of

transformations.i. Identify a transformation as a

one-to-one correspondencebetween points in a plane.

ii. Identify the object and itsimage in a giventransformation.

analyzing

constructing

drawing diagram

working outmentally

working backwards



interpreting

- transformation- plane- object- image- map- one-to-one

correspondence

11.2 Understand and use theconcept of translations.

i. Identify a translation.ii. Determine the image of an

object under a giventranslation.

iii. Describe a translation:a) by stating the direction and

distance of the movement

- translation- orientation- parallel- direction- distance- movement- properties


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c) in the form

iv. Determine the properties oftranslation.

v. Determine the coordinates of:

a) the image, given thecoordinates of the objectb) the object, given the

coordinates of the imageunder a translation.

vi. Solve problems involvingtranslations.

- image- shape- size- length- angle

- coordinate

11.3 Understand and use theconcept of reflections.

i. Identify a reflection.ii. Determine the image of an

object under a reflection on agiven line.

iii. Determine the properties ofreflections.

iv. Determine:a) the image of an object,

given the axis of reflectionb) the axis of reflection, given

the object and its image.using the method ofconstruction

v. Determine the coordinates of:a) the image, given the

coordinates of the objectb) the object, given the

coordinates of the imageunder a reflection.

vi. Describe a reflection given theobject and image.

vii. Solve problems involvingreflections.

- reflection- axis of reflection- tracing paper- laterally- inverted- line

11.4 Understand and use theconcept of rotations.

i. Identify a rotation.ii. Determine the image of an

object under a rotation giventhe centre, the angle anddirection of rotation.

iii. Determine the properties ofrotations.

- rotation- centre of rotation- direction of rotation- angle of rotation- clockwise- anticlockwise- properties


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iv. Determine:a) image of an object, given

the centre, angle anddirection of rotation

b) the centre, angle and

direction of rotation, giventhe object and the image.using the method ofconstruction

v. Determine the coordinates ofa) the image, given the

coordinates of the object;b) the object, given the

coordinates of the imageunder a rotation.

vi. Describe a rotation given theobject and image.

vii. Solve problems involvingrotations.

- shape- size- object- image- coordinate

11.5 Understand and use theconcept of isometry.

i. Identify an isometry.ii. Determine whether a given

transformation is an isometry.iii. Construct patterns using

isometry.

- isometry

11.6 Understand and use theconcept of congruence.

i. Identify if two figures arecongruent.

ii. Identify congruency betweentwo figures as a property of anisometry.

iii. Solve problems involvingcongruence.

- congruence- congruent- congruency- shape- size- pattern- figure- property- orientation

11.7 Understand and use theproperties of quadrilateralsusing concept oftransformations.

i. Determine the properties ofquadrilaterals using reflectionsand rotations.

- quadrilateral- square- rectangle- rhombus- parallelogram- kite- diagonal- preserve


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CHAPTER 12:SOLID GEOMETRY II12.1 Understand geometric

properties of prisms, pyramids,cylinders, cones and spheres.

i. State the geometric propertiesof prisms, pyramids, cylinders,cones and spheres.


problem solving

- prism- pyramid- cylinder

- cone- sphere

12.2 Understand the concept of nets. i. Draw nets for prisms,pyramids, cylinders and cones.

ii. State the types of solids giventheir nets.

ii. Construct models of solidsgiven their nets.

- net- solid- cube- cuboid

12.3 Understand the concept ofsurface area.

i. State the surface areas ofprisms, pyramids, cylinders

and cones.ii. Find the surface area ofprisms, pyramids, cylindersand cones.

iii. Find the surface area ofspheres using the standardformula.

iv. Find dimensions:a) length of sidesb) heightc) slant heightd) radiuse) diameterof a solid given its surface areaand other relevant information.

v. Solve problems involvingsurface areas.

- surface area- dimension

- standardformula- similarities- differences- base- lateral side- vertex- edge- height- radius- diameter- slant height- curve surface- derive

CHAPTER 13:STATISTICS13.1 Understand theconcept of data.

i. Classify data according tothose that can be collected by:a) countingb) measuring.

ii. Collect and record datasystematically.

classifying

analyzing

interpreting

working out

mentally drawing diagrams

- data- count- measure- collection of- data- questionnaire- interview s


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- systematic- record- tally chart

13.2 Understand the

concept offrequency.

i. Determine the frequency of

data.ii. Determine the data with:a) the highest frequencyb) the lowest frequencyc) frequency of a specific

value.iii. Organise data by constructing:

a) tally chartsb) frequency tables.

iv. Obtain information fromfrequency tables.

- frequency

- horizontal- vertical- highest- lowest- frequency table- information

13.3 Represent and interpret data in:i. pictogramsii. bar chartsiii. line graphsto solve problems.

i. Construct pictograms torepresent data.

ii. Obtain information frompictograms.

iii. Solve problems involvingpictograms.

iv. Construct bar charts torepresent data.

v. Obtain information from barcharts.

vi. Solve problems involving barcharts.

vii. Represent data using linegraphs.

viii. Obtain information from linegraphs.

ix. Solve problems involving linegraphs.

- data- organise- pictogram- tally chart- column- row- obtain- key- legend- bar graph- line graph- horizontal- vertical

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