Geometry and Measurement Grades 6 to 8

Free online middle-school geometry course · 12 weeks

Grade: Grades 6 to 8
Ages: Ages 11 to 14
Price: Free
Format: Self-paced online course at learn.lanternlearn.com

About this course

Geometry and Measurement Grades 6 to 8 is a free 12-week online geometry course for middle schoolers that uses only things a family already has. Students set up a Blueprint Table in a garage corner and, week by week, design and build a cardboard model clubhouse: area by cutting and composing, polygons on the grid, nets and surface area, volume, scale drawings, triangles and slices, circles, angles, slides, flips and turns, dilations and similar figures, the Pythagorean theorem, round solids and irrational numbers. Every answer is computed and checked, and the course ends with a Build Day for the family.

Skills covered

· Find the area of triangles, quadrilaterals and polygons by composing and decomposing them, on paper and on the coordinate plane
· Represent boxes and pyramids with nets to find surface area, and find the volume of prisms, including ones with fractional edges
· Use scale drawings to find real lengths and areas, build triangles from given measures, and describe the slices of solids
· Use the formulas for the circumference and area of a circle, and write and solve equations for unknown angles
· Describe slides, flips, turns and dilations with coordinates, and tell when two figures are congruent or similar
· Explain and apply the Pythagorean theorem, find the volume of cylinders, cones and spheres, and place irrational numbers on a number line
· CCSS: 6.G.A, 7.G.A and 7.G.B, 8.G.A to 8.G.C, 8.NS.A

12-week list

Each week has short lessons Monday to Friday, a hands-on Build Lab, and a Build Day with the family on Saturday.

Week	Topic	Focus	CCSS
1	Area by Cutting and Composing	Cut a parallelogram and slide it into a rectangle	6.G.A.1
2	Polygons on the Grid	The floor plan on a taped coordinate grid	6.G.A.3
3	Nets and Surface Area	Unfold a box: how much cardboard do the walls need?	6.G.A.4
4	Volume	Pack the bin with cubes	6.G.A.2, 7.G.B.6
5	Scale Drawings	The garage at 1 cm to 50 cm	7.G.A.1
6	Triangles with Rules, and Slices	Three straws: does the triangle close?	7.G.A.2, 7.G.A.3
7	Circles	String around a can: a little more than three diameters	7.G.B.4
8	Angles	Equations for the roof frame	7.G.B.5, 8.G.A.5
9	Slides, Flips and Turns	Tile shapes that land on each other	8.G.A.1 to 8.G.A.3
10	Dilations and Similar Figures	The flashlight shadow	8.G.A.3 to 8.G.A.5
11	The Pythagorean Theorem	The ladder against the clubhouse wall	8.G.B.6 to 8.G.B.8
12	Round Solids, Irrational Numbers and Build Day	Cone roof, can tank, ball and the family Build Day	8.G.C.9, 8.NS.A.1, 8.NS.A.2

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