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
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
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
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
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
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
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.
Action steps
1. Add two or three 3-digits binary numbers
Action steps
1. Subtract two or three 3-digits binary numbers
Action steps
1. Multiply two or three 3-digits binary numbers
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
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
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
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
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
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
Action steps
1. Construct various parallel lines
2. Construct various perpendicular lines
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
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
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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