yearly lesson plan mm f2

8/7/2019 YEARLY LESSON PLAN MM F2

1/13

1

WEEK THEME/TITLE LEARNING AREA LEARNING OUTCOMES

1 & 2 CHAPTER 1 :

DIRECTEDNUMBERS

1.1Angles AssociatedWith Parellel Lines

1.2CombinedOperations

1.3Positive AndNegative Fractions

1.4Positive AndNegative Decimals

1.5ComputationsInvolving Directed

Numbers

Students will be able to:

i. Multiply integers.ii. Divide integersiii. Solve problems involving and division of integers.Students will be able to:

i. Perform combined operations of addition, subtraction, multiplication and division of integers.ii. Solve problems.Students will be able to:

i. Compare and order fractions.ii. Add, subtract, multiply and divide fractions.Students will be able to:

iii. Compare and order decimals.iv. Add, subtract, multiply and divide decimals.Students will be able to:

i. Add, subtract, multiply and divide two directed numbersii. Perform combined operations on directed numbers.iii. Pose and solve problems.


2/13

2


3 & 4 CHAPTER 2 :

SQUARES,

SQUARE ROOTS,

CUBES AND CUBE

ROOTS

2.1Square Of Numbers.

2.2 Square Roots OfPositive Numbers

2.3 Cube Of Numbers.

2.4Cube Roots OfNumbers.


i. State a number multiplied by itself as a number to the power of two and vice versa.ii. Determine and estimate the squares of numbers.iii. List and determine perfect squares.iv. Pose and solve problems involving squares of numbers.Students will be able to:

i. State the square root of a positive number.ii. Determine the square roots of perfect squares.iii. Multiply two square roots.iv. Estimate and find the square roots of numbers.v. Pose and solve problems involving squares and square roots.Students will be able to:

i. State the cube of a number as a number to the power of three and vice versa.ii. Determine cubes of numbers.iii. Estimate cubes of numbers.iv. Pose and solve problems involving cubes of numbers.Students will be able to:

i. State the cube root of a number as the number multiplied by itself twice equals to the givennumber.

ii. Determine the cube roots of numbers without using calculators.iii. Estimate cube roots of numbers.iv. Determine cube roots of numbers using calculators.v. Pose and solve problems involving cubes and cube roots.vi. Perform computations involving addition, subtraction, multiplication, division and mixed

operations on squares, square roots, cubes and cube roots.


3/13

3


5 & 6 CHAPTER 3 :

ALGEBRAIC

EXPRESSIONS II

3.1 Algebraic Terms InTwo Or More

Unknowns

3.2 Multiplication And

Division Of Two Or

More Algebraic Terms

3.3 Concept Of

Algebraic Terms

3.4 ComputationsInvolving Algebraic

Expressions


i. Identify unknow ns in algebraic terms in tw o or more unknowns.ii. Identify algebraic terms in two or more unknowns as the product of the unknowns with a

number.

iii. Identify coefficients in given algebraic terms in two or more unknowns.iv. Identify like and unlike algebraic terms in two or more unknowns.v. State like terms for a given algebraic term.Students will be able to:

i. Find the product of two algebraic terms.ii. Find the quotient of two algebraic terms.iii. Perform multiplication and division involving algebraic terms.Students will be able to:

i. Write algebraic expressions for given situations using letter symbols.ii. Recognise algebraic expressions in two or more unknowns.iii. Determine the number of terms in given algebraic expressions in two or more unknowns.iv. Simplify algebraic expressions by collecting like terms.v. Evaluate expressions by substituting numbers for letters.


i. Multiply and divide algebraic expressions by a number.ii. Perform addition and subtraction involving two algebraic expressions.iii. Simplify algebraic expressions.


4/13

4


7 & 8 CHAPTER 4 :

LINEAR

EQUATIONS

4.1 Equality

4.2 Linear Equations

4.3 Solutions of Linear

Equations


i. State the relationship between two quantities by using the symbols = or .Students will be able to:

i. Recognise linear algebraic terms and linear algebraic expressions.ii. Determine if a given equation linear equation.iii. Write linear equations in one unknown for given statements and vice versa.Students will be able to:

i. Determine if a numerical value is a solution of a given linear equation in one unknown.ii. Solve equations by trial and improvement method.iii. Solve linear equations in one unknown.iv. Pose and solve problems involving linear equations in one unknown.


5/13

5


9 & 10 CHAPTER 5 :

RATIOS, RATES

AND

PROPORTIONS

5.1 The Concept of

Ratio in Two Quantities

5.2 Concept of

Proportion to Solve

problems

5.3 Concept of Ratio of

Tree Quantities to Solve

Problems


i. Compare tw o quantities in the form a : b or a/bii. Determine whether given ratios are equivalent ratios.iii. Simplify ratios to the lowest terms.iv. State ratios related to a given ratio.Students will be able to:

i. State w hether two pairs of quantities is a proportion.ii. Determine if a quantity is proportional to another quantity given two values of each quantity.iii. Find the value of a quantity given the ratio of a quantity.iv. Find the sum of two quantities given the ratio of the quantities.v. Pose and solve problems involving ratios and proportions.

Students will be able to :

i. Compare three quantities in the form a : b : c.ii. Determine whether given ratios are equivalent ratios.iii. Simplify ratio of three quantities to the lowest terms.iv. Find the ratio ofa : b : c given the ratio ofa : b and b : c.v. Find the value of the quantities given the ratio and the sum of three quantitiesvi. Find the sum of three quantities given the ratio and the difference between two of the three

quantities.

vii. Pose and solve problems involving ratio of three quantities.


6/13

6


11 &

12

CHAPTER 6 :

PYTHAGORAS

THEOREM

6.1 The Relationship

Between the Sides of aRight-Angled Triangle

6.2 The Converse of

Pythagoras Theorem


i. Identify the hypotenuse of right-angled triangles.ii. Determine the relationship between the lengths of the sides of a right-angled triangle.iii. Find the length of the missing side of a right-angled triangle using the Pythagoras theorem.iv. Find the length of sides of geometric shapes using Pythagoras theorem.v. Solve problems using the Pythagoras theorem.Students will be able to:

i. Determine whether a triangle is a right-angled triangle.ii. Solve problems involving the converse Pythagoras theorem.


13 &

14

CHAPTER 7 :

GEOMETRICAL

CONSTRUCTIONS

7.1 Constructions Using

a Straight Edge and a

pair of Compasses


i. Construct a line segment of given length.ii. Construct a triangle given the length of the sides.iii. Construct the perpendicular bisector of a line segment perpendicular to a lineiv. Construct the angle of600 and 1200and bisector of an angle.v. Construct triangles given one side and two angles and two sides and one angle.vi. Construct parallel lines and parallelogram.


7/13

7


15 &

16

CHAPTER 8 :

COORDINATES

8.1 Coordinates

8.2 Scales for the

Coordinates Axes

8.3 Distance Between

Two Points in a

Cartesian Plane

8.4 Midpoint


i. Identify the x-axis, y-axis and the origin on a Cartesian plane.ii. Plot points and state the coordinates of the points given distances from the y-axis and x-axis.iii. Plot points and state the distances of the points from the y-axis and x-axis given coordinates of

the point.

iv. State the coordinates of points on Cartesian plane.Students will be able to:

i. Mark the values on both axes.ii. State the scales used.iii. Mark the values on both axes, with reference to the scales given.iv. State the coordinates of a given point with reference to the scales given.v. Plot points, given the coordinates, with reference to the scales given.vi. Pose and solve problems involving coordinates.Students will be able to:

i. Find the distance between two points with common y-coordinates or common x-coordinates.ii. Find the distance between two points using Pythagoras theorem.iii. Pose and solve problems involving distance between two points.Students will be able to:

i. Identify the midpoint of a straight line joining two points.ii. Find the coordinates of the midpoint of a straight line joining two points with common y-

coordinates or common x-coordinates.iii. Find the coordinates of the midpoint of the line joining two points.iv. Pose and solve problems involving midpoints.


8/13

8


17 &

18

CHAPTER 9 :

LOCI IN TWO

DIMENSIONS

9.1 Two-Dimensional

Loci

9.2 Intersection of Two

Loci


i. Describe and sketch the locus of a moving object.ii. Determine the locus of points that are of:

a) constant distance from a fixed pointb) equidistant from two fixed pointsc) constant distance from a straight lined) equidistant from two intersecting lines.

iii. Construct the locus of a set of all points that satisfies a given condition.Students will be able to:

i. Determine the intersections of two loci by drawing the loci.


9/13

9


19 &

20

CHAPTER 10 :

CIRCLES

10.1 Parts of a Circle

10.2 Understand and

Use the Concept of

Circumference

10.3 Arc of a Circle

10.4 Area of a Circle

10.5 Area of a Sector


i. Identify circle as a set of points equidistant from a fixed point.ii. Identify parts of a circle.iii. Draw the different parts of a circle.iv. Determine the center or radius of a circle by construction.


i. Estimate the value of.ii. Derive the formula of the circumference of a circle.iii. Find the circumference of a circle given its diamete or radiusiv. Find the diameter or radius of a circle.v. Solve problems involving circumference of circles.Students will be able to:

i. Derive the formula of the length of an arc.ii. Find the length of arc given the angle at the centre and the radius.iii. Find the angle at the centre given the length of the arc and the radius of a circle.iv. Find the length of radius of a circle given the length of the arc and the angle at the centre.v. Solve problems involving arcs of a circle.Students will be able to :

i. Derive the formula of the area of a circle.ii. Find the area of a circle given the radius or diameter.iii. Find the radius or diameterngiven the area of a circle.iv. Find the area of a circle given the circumference.v. Solve problems involving area of circles.Students will be able to:

i. Derive the formula of the area of a sector.ii. Find the area of a sector given the radius and angle at the centre.iii. Find the angle at the centre given the radius and area of a sector.iv. Find the radius given the area of a sector and the angle at the centre.v. Solve problems involving area of sectors and area of circles.


10/13

10


21 &

22

CHAPTER 11 :

TRANSFORMATIO

NS

11.1 Transformation

11.2 Translation

11.3 Reflection

11.4 Rotation

11.5 Isometry


i. Identify a transformation as a one-to-one correspondence between points in a plane.ii. Identify the object and its image in a given transformation.Students will be able to:

i. Identify a translation.ii. Determine the image of an object under a given translation.iii. Describe a translation and determine its properties.iv. Determine the coordinates of the image and the object under a translation.v. Solve problems involving translations.Students will be able to:

i. Identify a reflection.ii. Determine the image of an object under a reflection on a given line.iii. Determine the properties of reflections.iv. Determine the image of an object given the axis of reflection.v. Determine the coordinates of the image under a reflection.vi. Describe a reflection given the object and image.vii. Solve problems involving reflections.Students will be able to:

i. Identify a rotation and determine its propertiesii. Determine the image of an object under a rotationiii. Determine the centre, angle and direction of rotationiv. Determine the coordinates of the image and the object under a rotation.v. Describe a roration given the object and its image.vi. Solve problems involving rotationStudents will be able to:

i. Identify an isometry.ii. Determine w hether a given transformation is an isometry.iii. Construct patterns using isometry.


11/13

11

11.6 Congruence

11.7 Properties ofQuadrilaterals


i. Identify if two figures are congruent.ii. Identify congruency between two figures as a property of an isometry.iii. Solve problems involving congruence.Students will be able to:i. Determine the properties of quadrilaterals using reflections and rotations.


12/13

12


23 &

24

CHAPTER 12 :

SOLID GEOMETRYII

12.1 Properties of

Prisms, Pyramids,

Cylinders, Cones andSpheres.

12.2 Nets of Geometric

Solids

12.3 Surface Area


i. State the geometric properties of prisms, pyramids, cylinders, cones and spheres.Students will be able to:

i. Draw nets for prisms, pyramids, cylinders and cones.ii. State the types of solids given their nets.iii. Construct models of solidsgiven their nets.Students will be able to:

i. State the surface areas of prisms, pyramids, cylinders and cones.ii. Find dimensions of a solid given its surface area and other relevant information.iii. Solve problems involving surface areas.


13/13

13


25 &

26

CHAPTER 13 :

STATISTICS

13.1 Concept of Data

11.2 Concept of

Frequency

11.3 Representation

and Interpretation of

data


i. Classify data according to those that can be collectedii. Collect and record data systematically.Students will be able to:

i. Determine the frequency of data.ii. Determine the data with the highest frequency, the lowest frequency and the frequency of a

specific item.

iii. Organise data using tally charts and frequency tables.iv. Obtain information from frequency tables.Students will be able to:

i. Construct pictograms, bar charts and line graphs.ii. Obtain information from pictograms, bar charts and line graphs.iii. Solve problems involving pictograms, bar charts and line graphs.

yearly lesson plan mm f2

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