Junior Secondary 1 | Mathematics

First Term

Objective: Read and write whole numbers

Action steps

1. Review previous lessons on counting and writing in millions and billions

2. Write and read in millions and billions

3. Use counting charts to count in trillions

4. Solve problems in quantitative aptitude reasoning using large numbers

Objective: Understand fractions

Action steps

1. Identify equivalent fractions of any given fraction

2. Apply the concept of equivalent fractions to sharing of commodities, e.g., food, money, etc.

3. Solve problems in quantitative aptitude reasoning using equivalent fractions

4. Arrange given fractions either in ascending or descending order

5. Convert fractions to decimals and decimals to fractions

6. Covert fractions to percentages and percentages to fractions

Objective: Understand the concept of least common multiples (LCM)

Action steps

1. Bring a LCM chart to class

2. Review how prime numbers are obtained

3. Find the LCM of some of the whole numbers

Objective: Understand the concept of highest common factor (HCF)

Action steps

1. Bring a HCF chart to class

2. Use prime factorization to express a given number as the product of its prime factors

3. Find the HCF of some of the whole numbers

4. Solve problems on quantitative aptitude reasoning involving LCM and HCF

5. Describe the difference between LCM and HCF

Objective: Develop a practical understanding on using the concept of estimation

Action steps

1. Name objects in the class and elsewhere around the school

2. Use your hand span and walking stride to measure the lengths and widths of these objects and distances to various points around the school

3. Estimate the volume of given objects

4. Estimate the mass of given objects

5. Solve problems using quantitative reasoning in estimation

6. Demonstrate how to apply estimation on things in day-to-day activities

Objective: Apply the concept of approximation in solving problems

Action steps

1. Demonstrate the application of approximation to some addition problems

2. Carry out the actual addition and compare the answers with the approximated ones

3. Apply approximation when solving some subtraction problems

4. Carry out the actual subtraction and compare the answers with the approximated values

5. Apply approximation when solving some multiplication and division problems

6. Carry out the actual multiplication and compare the answers with the approximated values

7. Demonstrate how to round up some given numbers to their nearest values (nearest ten, hundred, etc.)

8. Solve problems using quantitative reasoning in approximation

9. Demonstrate how to apply approximation on things in day-to-day activities

Second Term

Objective: Understand how to count using numbers in base 2

Action steps

1. Count in base 2 using the aids of sticks and match sticks

2. Prepare a collection of different small objects in bundles of twos that are used in base 2 counting.

Objective: Carry out addition of numbers using base 2 numbers

Action steps

1. Add two or three 3-digits binary numbers

Objective: Carry out subtraction of numbers using base 2 numbers

Action steps

1. Subtract two or three 3-digits binary numbers

Objective: Carry out multiplication of numbers using base 2 numbers

Action steps

1. Multiply two or three 3-digits binary numbers

Objective: Solve problems using addition and subtraction

Action steps

1. Demonstrate how to add any two numbers up to 4- digits

2. Demonstrate how to find the difference of two given numbers

3. Draw and use number line to illustrate directed numbers

4. Interpret and relate negative numbers to everyday activities

5. Demonstrate the operations of addition and subtraction of integers using the number line

6. Demonstrate to add decimal fractions correctly

7. Demonstrate to subtract decimal fractions correctly

8. Demonstrate how to solve addition and subtraction problems using quantitative reasoning

Objective: Apply the concept of using to solve problems

Action steps

1. Demonstrate how to solve problems that are expressed in open sentences

2. Describe the relationships between addition and subtraction

3. Describe the relationships between multiplication and division

4. Use letters to represent symbols or shapes in open sentences

5. Solve open sentence problems involving two arithmetic operations

6. Solve word problems involving the use of symbols

7. Demonstrate how symbols can be used to represent real life objects

8. Solve quantitative problems using symbols

Third Term

Objective: Understand how to simplify algebraic expressions

Action steps

1. Identify the coefficient of a letter (an unknown quantity)in an algebraic expression

2. Demonstrate that positive terms have positive coefficients while negative terms have negative coefficients

3. Perform basic arithmetic operations on algebraic expressions of similar terms

4. Demonstrate that only similar objects can be added or subtracted in real life situations

5. Demonstrate how to collect like terms and simplify the expression

6. Explain why expression of the form 2x +3y cannot be simplified further

7. Demonstrate how to insert or remove brackets to simplify expressions

8. Solve quantitative problems using brackets to simplify expressions

9. Use letters and figures to represent word problems and solve them

10. Demonstrate that some events/situations are better represented in symbols than words

Objective: Translate words into simple equations

Action steps

1. Translate word sentences into mathematical statements

2. Use mathematical statements to represent word problems

3. Describe simple equations and state their meaning using words

4. Use the equality sign in mathematical statements

5. Use a scale balance to demonstrate a simple equation

6. Solve simple equations

7. Confirm that the two sides of a simple equation are equal by checking

Objective: Draw and interpret plane shapes

Action steps

1. Measure around each shape to determine its perimeter

2. Derive the formula for finding the perimeter of various shapes

3. Use the formula to find the perimeter of these shapes

4. Find the perimeter of irregular shapes

5. Relate the concept of a perimeter to real life situations

6. Find the area of regular and irregular shapes

7. Relate the concept of an area to real life situations

Objective: Interpret three dimensional figures

Action steps

1. Identify the properties of cubes and cuboids

2. Identify the properties of pyramids and cones

3. Identity the properties of cylinders and spheres

4. Find volume of a cube and a cuboid

Objective: Demonstrate how to construct various types of lines

Action steps

1. Construct various parallel lines

2. Construct various perpendicular lines

Objective: Demonstrate how to measure and calculate angles

Action steps

1. Measure various angles

2. Identify vertically opposite, adjacent, alternate and corresponding angles

3. State the properties of an angle

4. Apply angles to real life situations

5. Identify angles at a point and angles on a straight line

6. Find the sum of angles in a triangle

Objective: Participate in the study of statistics

Action steps

1. Participate in the discussion of the purposes of statistics

2. State the meaning of drug abuse, voter education, and environmental education

3. Participate in discussing the usefulness of statistics for planning purposes

4. Participate in discussing the usefulness of data in voter education, HIV/AIDS education, environmental education etc. for planning purposes

5. Participate in discussing a general situation where analysis of data is useful

6. Demonstrate the usefulness of statistics for prediction purposes

Objective: Collect data for use in a presentation

Action steps

1. Collect data for a class experiment

2. Define the median of the collected data

3. Use the data to calculate the median point of the data

4. Use the data to calculate the mean (average) of the data

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