The Junior Measurement topic is all about giving young people a set of maths and logic skills so they can solve real world problems.
estimate, calculate, and represent accurately measurements using significant figures
derive and use the formula for the perimeter or circumference and area of polygons and circles
find the surface area and volume or capacity of prisms and cylinders
scale a shape by a factor and derive the scale factor for the scaled shape’s area or volume.
The following page covers each of these skills.
Students should know how to estimate, calculate, and represent accurately measurements using significant figures.
To learn to do this, watch this video here.
Students should know how to derive and use the formula for the perimeter or circumference and area of polygons and circles.
To learn to do this, watch these videos here.
Perimeter Introduced
Perimeter and Area of Composite Shape
Circumference and Area of Circles
Examples of Area and Perimeter of Irregular Shapes
Students should know how to find the surface area and volume or capacity of prisms and cylinders.
To learn to do this, watch these videos here.
Area and Volume Introduced
Volume and Surface Area of Cylinder
Calculating Volumes of Irregular Shapes
Surface Area and Volume of Irregular Shapes
Students should know how to scale a shape by a factor and derive the scale factor for the scaled shape’s area or volume.
To learn to do this, watch these videos here.
Length, Area, and Volume Scale Factors
Similar Shapes
The following are other measurement skills that are good to know.
Students should also know the formulas that exist in the Year 11 exam so they are better prepared for next year.
Students should be familiar with the formulas shown in this sheet.
This is the formula sheet for NCEA Level 1 Maths 1.4 and will be available to students in their Year 11 Maths Exam.
These formulas include those for Perimeter (Circumference) and Area, for Circles, Triangles, Quadrilaterals.
The sheet also contains information on Surface Area and Volume of Prisms, Cylinders, Spheres, Pyramids, Cones, and Rectangles.
You can check your understanding of the Measurement topic with the task below.