SME
Grade 7 Math
Geometry
Scale drawings
Main lesson
Map distances in miles
Use this for “On a map, 1 inch represents 25 miles. Two towns are 3.5 inches apart. How far apart are they?”
Map distances in kilometers
Use this for “On a map, 1 cm represents 5 km. How far is a 7.2 cm route?”
Scaled copies on a grid
Use this for “A 4 by 3 picture is enlarged to 12 wide. How tall is it?”
Scale factor and area
Use this for “A triangle with base 4 and height 3 is copied at scale factor 2. What is the copy’s area?”
Scaled copy or not?
Use this for “Which figure is a scaled copy of the original?”
The same scale, said another way
Use this for “Which scale is the same as 1 cm to 50 m?”
Circumference and area of circles
Main lesson
Circumference and wheels
Use this for “A 28-inch wheel turns 25 times. How far does the bike go?”
A circle in a square
Use this for “A circle of radius 5 is inside a square. What area is left in the corners?”
Circumference is proportional to diameter
Use this for “A circle has diameter 4. What is its circumference, and where is it on the graph?”
Circumference or area?
Use this for “Is it circumference or area?” before choosing the formula.
Supplementary, complementary, vertical and adjacent angles
Main lesson
Complementary angles
Use this for “Two angles make a right angle. One is 35°. What is the other?”
Vertical angles
Use this for “Two lines cross. One angle is 50°. Find the other three.”
Unknown angles with an equation
Use this for “Two supplementary angles: one is twice the other. Find both.”
Angles in a triangle
Use this for “A triangle has angles of 54° and 71°. What is the third?” or “An exterior angle is 125° and one far angle is 54°. Find the other far angle.”
Parallel lines and a transversal
Use this for “Lines ℓ and m are parallel. Angle 1 is 50°. Which angles are 50° and which are 130°?”
Which kind of angle pair?
Use this for “Are these angles complementary, supplementary or vertical?”
Can the sides make a triangle?
Use this for “Can sticks of 2, 3 and 6 inches make a triangle?”
Volume and surface area of prisms
Main lesson
Triangular prism
Use this for “A prism stands on a right triangle with legs 9 and 12 and slanted side 15, and is 20 long. Find its volume and surface area.”
Tent-shaped prism
Use this for “A toy tent is a prism: its end is a triangle with base 16 cm, height 6 cm and two 10 cm sides, and it is 25 cm long.”
Prism on a trapezoid
Use this for “A wooden block is a prism on a trapezoid: parallel sides 14 cm and 6 cm, 9 cm apart, 4 cm thick. What is its volume?”
A base made of rectangles
Use this for “The base is an L shape, 8 by 6 with a 3 by 2 corner cut out. The prism is 4 cm tall. Find its volume and surface area.”
Slicing a solid
Use this for “What shape is the cross-section when the pyramid is cut parallel to its base?”
Prism or not?
Use this for “Which solids are prisms?” before using V = Bh.