Research Article

Math and Science Integrated Curriculum: Pedagogical Knowledge-Based Education Framework

Table 2

Details of activities to be carried out.

Week SubjectsTopicsObjectivesIntegrated objectives

Stage 1: week 1MathematicsAlgebraic expressionsDescribe the terms: variables and constantsDefine motion by identifying constants (frame of reference) and variables
ScienceMotion & forceDefine motion with respect to still objects based on its direction
MathematicsVenn diagramsUse Venn diagrams to group items according to their propertiesCompare the effect of push/pull using Venn diagram
ScienceMotion & forceDefine force by explaining the effect of push/pull on displacement of objects
MathematicsRatio & proportionDescribe proportional reasoningInvestigate various types of forces
ScienceNewton’s second law of motionAnalyse and interpret relationship between net-force on an object and its change in motion as summarised by Newton’s second law of motion (F = ma)
MathematicsIntegersPerform calculations involving integersCalculate net-force using integers (signed numbers)
Science(i) Balanced and unbalanced forces(i) Distinguish between the effects of balanced and unbalanced force applied on an object and calculate net-force
(ii) Newton’s first law of motion(ii) Apply Newton’s first law of motion in daily life
MathematicsIntegersPerform calculations involving integersExplore Newton’s first law of motion
Science(i) Balanced and unbalanced forces(i) Distinguish between the effects of balanced and unbalanced force applied on an object and calculate net-force
(ii) Newton’s first law of motion(ii) Apply Newton’s first law of motion in daily life
MathematicsGraphs/CoordinatesDraw and interpret graphsDraw and interpret distance-time graph
ScienceDistance-time graphSketch the movement of the object using distance-time graph

Stage 2: week 2MathematicsGraphs/CoordinatesDraw and interpret graphsCalculate the speed by measuring distance and time
ScienceDistance-time graphSketch the movement of the object using distance-time graph
MathematicsRatio & proportionDescribe proportional reasoningDescribe velocity by identifying direction of motion
ScienceSpeed and velocity(i) Identify speed(s) as the distance(d) an object travels in a given amount of time(t), and calculate speed using the formula (s = d/t)
(ii) Identify that velocity is described by both speed and direction
MathematicsGraphs/CoordinatesDraw and interpret graphsConstruct velocity-time graph
ScienceVelocity-time graphConstruct velocity-time graph
MathematicsRatio & proportionDescribe proportional reasoningCalculate acceleration
ScienceAccelerationDefine acceleration and calculate it using the formula and classify it as positive, negative, and zero
MathematicsRatio and proportionDescribe proportional reasoningInvestigate the relationship between force, mass, and acceleration by Newton’s second law of motion
ScienceNewton’s second law of motionAnalyse and interpret relationship between net-force on an object and its change in motion as summarised by Newton’s second law of motion (F = ma)
MathematicsLinear equationsBalancing equations using appropriate operationsDescribe Newton’s third law of motion with the help of balancing linear equations
ScienceNewton’s third law of motionDescribe Newton’s third law of motion

Stage 3: common assessmentMathematicsAll the above mathematics topicsConduct measurement (distance, time), unit conversions, calculations (velocity, acceleration) and graphing skillsDemonstrate applicable mathematics skills and scientific investigation skills
ScienceAll the above science topicsInvestigate the effect of different types of forces on the movement of the three cars