Gr 7/8 Measurement Unit (Perimeter, Area, Volume, Surface Area of 2&3D Shapes)

This unit is aligned with the expectations of the NEW Ontario Mathematics Curriculum. This unit was designed during COVID-19,  to assist in curriculum delivery in the virtual environment.

The specific expectations that this packet addresses are listed by grade:

Grade 7

E2.2 solve problems involving perimeter, area, and volume that require converting from one metric unit of measurement to another 

E2.3 use the relationships between the radius, diameter, and circumference of a circle to explain the formula for finding the circumference and to solve related problems

E2.4 construct circles when given the radius, diameter, or circumference

E2.5 show the relationships between the radius, diameter, and area of a circle, and use these relationships to explain the formula for measuring the area of a circle and to solve related problems

E2.6 represent cylinders as nets and determine their surface area by adding the areas of their parts

E2.7 show that the volume of a prism or cylinder can be determined by multiplying the area of its base by its height and apply this relationship to find the area of the base, volume, and height of prisms and cylinders when given two of the three measurements

Grade 8

E2.3 solve problems involving the perimeter, circumference, area, volume, and surface area of composite two-dimensional shapes and three-dimensional objects, using appropriate formulas

Ways to use these resources in your classroom:

There are nine lessons in this unit.  Each lesson has a teacher’s instructional slide deck and a set of rule book notes that can be copied by your students.  Once the lesson has been completed, you have two different sets of practice questions.  One for your whole class, and the other has modifications made. These lessons have MOD Math in the title.  These modifications include step-by-step instructions and hints which will make it easier for IEP students.  Each lesson has similar questions, therefore taking up the practice work will be easier.  Once the practice questions have been completed, use the ANSWERS slide deck to take it up. 

Brief Lesson Overview:

Lesson # 1 ~ Reviewing what we know about perimeter and area of simple shapes.

Lesson # 2 ~ Finding the Perimeter and Area of Irregular Shapes

Lesson # 3 ~ Converting Units of Measure

Lesson # 4 ~ Finding the Surface Area

Lesson # 5 ~ Finding the Volume

Lesson # 6 ~ Word Problems

Lesson # 7 ~ Measuring Circle Circumference

Lesson # 8 ~ Measuring the Volume and Area of Circles

Lesson # 9 ~ Measuring Surface Area of Cylinders

At the end of the unit, use the Practice Test to review key concepts. Then test your students with the Final Unit Test.