# Level Five

## Plasers

**Plasers** provides practice in the use of cartesian coordinates and operating with integers.

Plasers: choose coordinates (+)

Plasers: choose coordinates (+/-)

Plasers: enter an equation (+)

Plasers: enter an equation (+/-)

Plasers: place bubbles (+)

Plasers: place bubbles (+/-)

## Rice Crisp Machine

**Rice Crisp Machine** is designed to help students understand how to construct and interpret boxplots.

Rice crisp machine: take a sample

Rice crisp machine: plot the variation

Rice crisp machine

## Matchbox Machine

**Matchbox Machine** is designed to help students understand how to construct and interpret boxplots.

Matchbox machine: take a sample

Matchbox machine: plot the variation

Matchbox machine

Matchbox machine: varying scoop size and speed

Matchbox machine: varying scoop size

Matchbox machine: varying speed

## Squirt

**Squirt** helps users explore and express proportional relationships.

Squirt: three containers: complex proportional relationships

## Drive

**Drive** helps users solve proportional problems with distance and time.

Drive: hard problems

## Biscuit Factory

**Biscuit Factory** explores ratio relationships in the context of gears.

Biscuit factory: ratios

Biscuit factory: complex ratios

Biscuit factory: directions

Biscuit factory: create a two-gear system

Biscuit factory: create a three-gear system

Biscuit factory: gears and speed

## Area of Triangles

**Area of Triangles** helps users to find the area of triangles.

Area of triangles: triangles with a right angle

Area of triangles: height intersects with the base inside the triangle

Area of triangles: height intersects with the base outside the triangle

Area of triangles: triangles without vertical or horizontal sides

Area of triangles

## Area of Compound Shapes

**Area of Compound Shapes** helps users to find the area of compound shapes by breaking them into rectangles and triangles.

Compound shapes: small shapes

Compound shapes: medium-sized shapes

Compound shapes: large shapes

Compound shapes

## Trigonometry

**Trigonometry** develops the concept of trigonometry from simple comparisons to more formal approaches.

Trigonometry: measuring with triangles

Trigonometry: similar triangles

Trigonometry: cosine

Trigonometry: sine

Trigonometry: tan

Trigonometry: using sine

Trigonometry: using cosine

Trigonometry: using tan

Trigonometry: find hypotenuse

Trigonometry: find angles