Investigations Into Mathematics (IM) | Unit 1 2 3 4 5 6 7
Measurement in Two and Three Dimensions
The Common Core State Standards require a balance of three fundamental components that result in rigorous mathematics acquisition: deep conceptual understanding, procedural skill, and mathematical applications and modeling.
Draw (freehand, with
ruler, and with technology) geometric shapes with given conditions.
a segment AB 1 cm. in length. Draw a circle whose radius is segment AB.
two-dimensional figures that result from slicing three-dimensional figures, as
in plane sections of right rectangular prisms and right rectangular pyramids.
Know the formulas for
the area and circumference of a circle and use them to solve problems; give an
informal derivation of the relationship between the circumference and area of a
how the two illustrations can be used to describe the relationship between the
area and circumference of a circle.
Solve real-world and
mathematical problems involving area, volume and surface area of two- and
three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes,
and right prisms.
Solve real-world and
mathematical problems involving surface area of two-dimensional
objects composed of triangles, quadrilaterals, polygons, and circles.
For example, examine the shape of a landscaped flowerbed.
Determine the shapes that compose the figure. Discuss the strategy that can be
used to determine the area of the flowerbed.
*Additional Practice links support C2.0 content, but may use vocabulary or strategies not emphasized by MCPS.
*Instructional videos in the hyperlinks above are meant to support C2.0 content, but may use vocabulary or strategies not emphasized by MCPS.
Draw (freehand, with ruler and protractor, and with technology)
geometric shapes with given conditions. Focus on constructing triangles from
three measures of angles or sides, noticing when the conditions determine a
unique triangle, more than one triangle, or no triangle.
protractor to measure the angles of triangles A and B. Use your ruler to measure the side lengths of
triangles A and B (in cm). Label the
angle measures and side lengths.
Use facts about supplementary, complementary, vertical,
and adjacent angles in a multi-step problem to write and solve simple equations
for an unknown angle in a figure.
Write and solve equations to determine the unknown angle
Investigate a local street system
design using a street map or by visiting Google© maps.
Angle Relationships: complementary and supplementary angles (online matching game)