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6-8 Accelerated 7 Unit 6

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IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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IM 6-8 Math v.360, an IM v.360 curriculum, is a derivative of IM 6-8 Math.

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Unit 6

Glossary

Accelerated 7

base (of a prism or pyramid)

A base is a specific face of a prism or pyramid.

A prism has 2 identical bases that are parallel. A pyramid has 1 base.

A prism or pyramid is named for the shape of its base.

A pentagonal prism. There are two identical pentagons on the top and bottom. Each vertex of a pentagon is connected by a vertical segment to the corresponding vertex of the other pentagons. The pengatons are each shaded, with the word base pointing to each.

A hexagonal pyramid. There is a hexagon on the bottom shaded green. From a point above the hexagon extend 6 segments, each connected to a vertex of the hexagon.

used in:

Lesson 8

cone

A cone is a three-dimensional figure like a pyramid, but the 1 base is a circle.

From an earlier course.

cross-section

A cross-section is the new face that is seen when a three-dimensional figure is sliced.

A rectangular pyramid is sliced parallel to the base. The cross-section is a smaller rectangle.

<p>A plane cuts the pyramid parallel to the base.</p>

used in:

cylinder

A cylinder is a three-dimensional figure like a prism, but with 2 bases that are circles.

From an earlier course.

dependent variable

A dependent variable represents the output of a function.

For example, someone needs to buy 20 pieces of fruit and decides to buy apples and bananas. If they select the number of apples first, the equation shows the number of bananas they can buy. The number of bananas is the dependent variable because it depends on the number of apples.

used in:

function

A function is a rule that has exactly 1 output for each possible input.

In the function , is the input and is the output. When is 5, has one value, 34.

used in:

independent variable

An independent variable represents the input of a function.

For example, suppose someone needs to buy 20 pieces of fruit and decides to buy some apples and bananas. If they select the number of apples first, the equation shows the number of bananas they can buy. The number of apples is the independent variable because any number can be chosen for it.

used in:

prism

A prism is a type of polyhedron with 2 bases that are identical and parallel. The bases are connected by parallelograms.

Here are some drawings of prisms.

A triangular prism. — triangular prism

A pentagonal prism. — pentagonal prism

A rectangular prism. — rectangular prism

used in:

pyramid

A pyramid is a type of polyhedron that has 1 base. All the other faces are triangles that meet at a single vertex.

Here are some drawings of pyramids.

A rectangular pyramid. — rectangular pyramid

A hexagonal pyramid. — hexagonal pyramid

A heptagonal pyramid. — heptagonal pyramid

used in:

radius

A radius is a line segment that goes from the center of a circle to any point on the circle. The length of this segment is also called the radius. Every radius of a circle is the same length.

For example, is the radius of this circle with center .

<p>a circle with a labeled radius</p>

From an earlier course.

sphere

A sphere is a three-dimensional figure where any cross-section is a circle.

From an earlier course.

surface area

The surface area of a polyhedron is the number of square units that covers all of its faces with no gaps or overlaps.

For example, the 6 faces of a cube each have an area of 9 cm². So, the surface area of the cube is , or 54 cm².

used in:

volume

Volume is the number of cubic units that fill a three-dimensional region with no gaps or overlaps.

This rectangular prism has 3 layers that are each 20 units³. So, the volume of the prism is 60 units³.

Two images. First, a prism made of cubes stacked 5 wide, 4 deep, 3 tall. Second, each of the layers of the prism is separated to show 3 prisms 5 wide, 4 deep, 1 tall.

used in: