**MATHEMATICS JS II FIRST TERM**

**THEME: NUMBERS AND NUMERATION**

**SUB-THEME: WHOLE NUMBERS**

**Week 1. Whole Numbers**

Students should be able to:

1. express any whole number in

standard form.

2. express decimal numbers in standard form.

**Contents**

1. Whole numbers in standard form.

2. Decimal numbers in standard form.

**Teacher**: 1. Leads student to express any given whole number in standard form i.e. a ×10n , 1≤ a < 10 n ≥ 0.

2. Leads student to express decimal

numbers in standard form i.e. a × 10n, 1 ≤ a < 10, n ≤ 0.

**Students:** 1. Express whole numbers in standard form.

2. Express decimal numbers in standard form.

**Week 2: Whole Numbers**

Students should be able to:

1. find the prime factors of numbers

not greater than 200.

2. express numbers as products of its

prime factors.

**Contents**

1. Prime factors.

2. Prime factorization.

**Teacher**: 1. Guides student to find prime factor of numbers.

2. Guides students to express numbers as products of its prime factors.

3. Differentiate a prime factor from odd numbers.

**Students**: 1. Find prime factors of numbers.

2. Express numbers as products of its

prime factors.

**Week 3 & 4 : Whole Numbers**

Students should be able to:

1. find the Lowest Common Multiples

(LCM) of numbers.

2. find the Highest Common Factor

(HCF) of numbers.

**Contents**

1. LCM

2. HCF

**Teacher**: 1. Guides student to find

the LCM of numbers.

2. Leads students to find the Highest Common Factor of numbers.

**Students**: 1. Find the LCM of numbers.

2. Find the Highest Common Factor

(HCF) of any given whole number.

**Week 5: Whole Numbers**

Students should be able to:

1. identify numbers that are perfect

squares.

2. find the squares of any given numbers.

3. find the square root of perfect squares using factor method.

4. find the square root of any given number.

5. solve quantitative reasoning problems related to contents above.

**Teacher**: 1. Squares and square roots.

1. Guides student to identify numbers that are perfect squares.

2. Guides student to find the squares of any given numbers.

3. Guides student to find square roots of perfect squares by factor method.

4. Leads student to find square roots of any given number.

5. Guides student on how to solve quantitative reasoning problems

related on contents above.

**Students**: 1. Identify numbers that are perfect squares.

2. Find the squares of any given

numbers.

3. Find square root of perfect squares by factor method.

4. Find square root of any given number.

5. Solve problems on quantitative

reasoning relating to content above.

**Week 6: Fractions**

Students should be able to:

1. convert simple fractions to ratios,

decimals and percentages and vice

versa.

1. Expressing fractions as ratios,

decimals and percentages.

2. Quantitative reasoning on fractions, ratios and percentages.

**Teacher**: 1. Guides student to convert fractions to ratios, decimals and percentages and vice versa.

2. Guides student to solve quantitative

reasoning problems related to conversion of fractions to ratios, decimals and percentages and vice

versa.

**Students**: 1. Convert fractions to ratios, decimals and percentages and vice versa.

2. Solve quantitative reasoning problems related to conversion of fractions, ratios, decimals and

percentages.

1. Squared paper or graph sheet.

2. Flash cards Students to:

1. convert given fractions to ratios,

decimals and percentages.

2. solve given problems on

quantitative reasoning problems

related to the content.

**Week 7: Basic Operation Derived**

**Operation**

Transactions in the homes and

offices

Students should be able to:

1. solve problems relating to office and household arithmetic.

2. solve simple commercial arithmetic relating to profit, interest, discount and commission.

**Contents**

1. Household arithmetic.

2. Commercial arithmetic.

**Teacher**: 1. Leads student to solve common home and office problems e.g. electricity bills, water rates and family budget.

2. Guides student to solve simple

commercial arithmetic relating to profit, interest, discount and

commission.

**Students**: 1. Solve problems on electricity bills, water rates and family budget.

2. Solve given simple commercial

arithmetic.

**Instructional Resources**: Electricity bills, water rate bills.

**Week 8. Approximation **

Students should be able to:

1. approximate numbers to any given degree of accuracy.

2. solve quantitative reasoning problems related to approximation of numbers.

**Contents**

1. Approximation of numbers.

– Decimal places

– Significant figures

2. Quantitative reasoning.

**Teacher**: 1. Leads student to carry out simple approximation to a given degree of accuracy.

2. Guides student to solve quantitative reasoning problems related to approximation of numbers.

**Students**: 1. Carry out simple approximation to a given degree of accuracy.

2. Solve quantitative reasoning problems related to approximation of numbers.

**Week 9: Multiplication and Division of directed numbers**

Students should be able to:

1. obtain the squares and square roots of numbers.

2. interpret and use tables, charts, records and schedule.

**Contents**

1. Squares and square roots tables.

2. Charts, records and schedules.

**Teacher**: 1. Leads student to obtain the squares and square roots of numbers from the table.

2. Guides student to interpret and use tables, charts, records and schedules.

**Students**: 1. Obtain the square roots of given numbers from the table.

2. Interpret and use tables, charts, records and schedules.

**Instructional Resources**: 1. Squares and square root tables. Distance charts, flight schedule charts, etc.

**Week 10: Multiplication and Division** **of directed numbers**

Students should be able to:

1. carry out multiplication and division involving directed numbers.

**Contents**

1. Multiplication and division of directed numbers.

**Teacher**: 1. Leads student to multiply and divide directed numbers.

**Students**: 1. Multiply and divide directed numbers.

**Instructional Resources**: 1. Directed numbers multiplication and division charts.

**Week 11 & 12: REVISION AND EXAMINATION**

**SECOND TERM LOADING…..**

**MATHEMATICS JS II THIRD TERM**

**THEME: MEASURATION AND GEOMETRY**

**SUB-THEME: SHAPES **

**WK 1 Plane figures/shapes**

Students should be able to:

1. state the properties of parallelogram, rhombus and kite.

2. identify these shapes in their environments.

**Content**

1. Properties of parallelogram, rhombus and kite.

**Teacher**: 1. Guides student to identify the properties of parallelogram, rhombus and kite.

2. Leads student to identify these shapes in their environments.

**Students**: 1. Identify the properties of parallelogram, rhombus and kite.

2. Identify these shapes in the environments.

**Teaching aids: **

1. Models of parallelogram, rhombus and kite.

**WK 2 Plane figures/shapes**

1. draw plane objects to scale.

2. convert actual length to scale and

vice versa.

**Content**

1. Scale drawing 1. Guides students to

measure actual lengths of teachers table and their classroom.

2. Leads students to convert actual length to given scale and vice versa.

1. Measure the actual length of given objects and draw them to scale.

2. Convert actual length to scale and

vice versa.

Tape (steel and rolling), ruler, pencil, plain sheets.

1. Draw actual length to scale.

3 Plane figures/shapes

1. apply scale drawing to solve measurement problems.

2. solve problems on quantitative aptitude related to plane shapes/figure and scale drawing.

1. Scale drawing 1.

**Teacher**: Leads student to apply scale drawing to solve measurement problems.

2. Guides student to solve problems on quantitative aptitude related to plane shapes/figure and scale drawing.

**Students**: 1. Apply scale drawing to solve measurement problems.

2. Solve problems on quantitative aptitude related to plane shapes/figure and scale drawing.

**Teaching aids **

Tape (steel and rolling), ruler, pencil, plain sheets.

**WK 4 Angles **

Students should be able to:

1. find the sum of angles of a triangle.

2. find the sum of angle in a quadrilateral.

3. find the sum of the interior angles of a polygon.

**Content**

1. Sum of angles of a polygon

1. Guides students to find the sum of angles of a triangle.

2. Guides students to find the sum of angle in a quadrilateral.

3. Leads students to discover that the sum of interior angles of an n- sided convex polygon is 2n-4 right angles or (n- 2)180o.

**Students**: 1. Find the sum of angles

of a triangle.

2. Find the sum of angle in a quadrilateral.

3. Use the sum of interior angles to calculate any given related problem.

**Teaching aids **

Cut out shapes of triangles

Cut out shapes of quadrilateral

Cut out shapes of other polygon types

Rulers, tapes, protractor.

1. Find the sum of angles of a triangle.

2. Find the sum of angle in a quadrilateral.

3. Find the sum of interior angles of

a given convex polygon.

**WK 5 Angles **

Students should be able to:

**1. **distinguish between angles of elevation and angles of depression.

2. use angles of elevation and

depression in calculating distances

and heights using scale drawing.

3. identify angles of elevation and depression.

4. solve problems on quantitative aptitude related to angles.

**Content**

1. Angles of elevation and depression.

**Teacher**: 1. Leads student to identify what angles of elevation and depression means.

2. Guides student to use angles of elevation and depression in calculation using scale drawing.

3. Guides student to identify the relationship between angles of elevation and depression.

4. Leads student to solve problems on quantitative aptitude related to angles.

**Students**: 1. Identify what angles

of elevation and depression means.

2. Use angles of elevation and depression in calculation using scale

drawing.

3. Identify the relationship between

angles of elevation and depression.

4. Solve problems on quantitative aptitude related to angles.

**Teaching aids **

1. Rulers, tapes, protractor and pencil

**WK 6 Bearing **

Students should be able to:

1. identify the cardinal points.

2. locate the position of objects.

3. find distances between objects using scale drawing.

**Content**

Bearing

**Teacher**: 1. Guides student to identify the major and minor cardinal points.

2. Guides student to locate the position of objects using 3-digit bearing.

3. Guides student to find distances between objects using scale drawing.

1. Identify the major and minor cardinal points.

2. Locate the position of objects using 3. digit bearing.

**Teaching aids **

1.Protractor, Ruler, Compass 3600 –

(wooden, metal or plastic), clinometer

**WK 7 Construction 1. **

Students should be able to:

1. construct triangles given:

(a) 2 sides and a secluded angle

(b) 2 angles and a side between them.

2. bisect any given angle.

**Content**

1. Constructing triangles

2. Bisecting angles.

**Teacher**: 1. Guides student to construct triangles using a protractor

and ruler

2. Leads student to bisect any given angle using a pair of compasses ensuring that students follow the basic steps.

**Students**: 1. Construct triangles using

protractor and ruler.

2. Bisect any given angle following the

basic steps.

**Teaching aids **

Plain paper,

Protractor,

Ruler,

Pair of compasses and Mathematical set.

**WK 8 Everyday Statistics data**

**collection and presentation**

Students should be able to:

1. present data in an ordered form.

2. construct frequency tables from any given data.

1. Ordered presentation of

data.

2. Frequency table.

1. Guides student to arrange data in an ordered form.

2. Guides student to display any given data on frequency table.

1. Arrange data in an ordered form.

2. Display any given data on frequency table.

Source information 1. present data in an ordered form.

2. construct

frequency table from

a given data.

**WK 9. Data presentation**

1. draw pie charts.

2. read information from pie charts.

3. generate and use data for statistical

purposes.

4. interpret and use tables, charts, records and schedules.

**Content**

1. Pie charts.

2. Charts, records and schedules.

**Teacher**: 1. Guides student to draw pie charts.

2. Guides student to read information from pie charts.

3. Leads student to generate and use data for statistical purposes.

4. Guides student to interpret and use tables, charts, records and schedules.

1. Draw pie chart.

2. Read information from pie charts.

3. Generate and use data for statistical

purposes.

4. Interpret and use tables, charts, records and schedules.

1. Source information

Distance charts

Flight schedule, etc

**WK 10. Probability **

Students should be able to:

1. discuss the occurrence of chance events in everyday life.

2. determine the probability of certain events.

3. apply the occurrence of chance

events/probabilities in everyday life.

**Content**

1. Occurrence of chance events in everyday life.

2. Probability of chance events.

**Teacher**: 1. Leads student to give examples of chance events in everyday life e.g. the chance or event that rain will fall in

December.

2. Leads student to perform experiment using coin and die.

3. Guides student to calculate the probability of the resulting

experiments.

4. Guides student to analyze statistical data with the use of probability such as mortality rate, etc.

5. Guides student to apply the occurrence of chance events in everyday life.

**Students**: 1. Calculate the probability of the resulting experiments.

2. Analyze statistical data with the use of probability.

3. Mention the application of probability in everyday life.

**Teaching aids **

Source information sheet on events.

**11 REVISION**

**12 EXAMINATION**

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