Measurement
Area and Volume
Grade 7 Learning Goals: I will be able to...
-solve problems involving the estimation and calculation of the area of a trapezoid;
-estimate and calculate the area of composite two-dimensional shapes by decomposing into shapes with known area relationships (e.g., rectangle, parallelogram, triangle)
-determine, through investigation using a variety of tools (e.g., nets, concrete materials, dynamic geometry software, Polydrons), the surface area of right prisms
-solve problems that involve the surface area and volume of right prisms and that require conversion between metric measures of capacity and volume
Grade 8 Learning Goals: I will be able to... (all of the above in addition to what is listed below)
– measure the circumference, radius, and diameter of circular objects, using concrete materials
– solve problems involving the estimation and calculation of the circumference and the area of a circle; (Hot chocolate investigation)
– determine, through investigation using concrete materials, the surface area of a cylinder
Minds On...
5. Complete each blank.
a. 3 decades = ___________ years = ________ months
b. 1 millennium = ________ years = ________ centuries
c. 200 years = ___________ decades = ______ centuries
Action...
Two towns are 76 000 m apart. Josephine wants to drive from one town to the other in exactly one hour.
For the first 20 minutes she drives at a constant speed of 66 km/h. At what constant rate must she drive for the remainder of the hour to accomplish her goal?
Consolidate...
a. 7 cm + 9 mm =___________ mm b. 1300 mL + 4 L =_________ L
c. 12 m + 87 cm = __________ cm d. 4 g + 800 mg = _________ mg
e. 0.4 km + 400 m = ________ cm f. 1.1 L + 14 mL = _________ mL
g. 69 g + 0.4 kg = __________ mg h. 70 cm + 0.01 km =_______ m
Grade 7:
Determine the relationship between the area of a parallelogram and the area of a trapezoid
by composing a parallelogram from congruent trapezoids.
Grade 8:
Use string to measure the circumferences and the diameters of a variety of cylindrical cans, and investigate the ratio of the circumference to the diameter.);
Measuring Volume
Minds On...
Action...
Grade 7: Henry is a sculptor. He wishes to make a clay block that has a shape of a rectangular prism. After making a small model, he is satisfied and decides to make a larger version. The new clay block has edges twice as long as the ones of the small model. How many times larger will the volume of the new block be compared to the small model?
Grade 8: A rectangular house that measures 20 m by 10 m has an outside electrical outlet at a corner of the house. An electric mower, connected by a cord to the outlet, can reach a maximum distance of 15 m. What is the largest area of lawn that can be cut?
Exit Tickets...
Grade 7: Calculate the area of the irregular shape.
Grade 8: Calculate the area of the shaded area. The radius of the large circle is 8cm.