Module 7 Lesson 5Draw polygons with specified attributes to solve

problems.

Equivalent CountingWith Units of 7

1 2 3 4 5 6 7 8 9 10

1 seven 2 sevens

3 sevens

4 sevens

5 sevens

6 sevens

7 sevens

8 sevens

9 sevens

10 sevens

7 14 21 28 35 42 49 56 63 70

1 seven 14 3 sevens 28 5

sevens 42 7 sevens 56 9

sevens 70

7 2 sevens 21 4

sevens 35 6 sevens 49 8

sevens 63 10 sevens

First let’s count to 10 by ones.Now let’s count up to 10 groups of 7, or 10 sevens.Now skip count to 70 by 7.And for a challenge, let’s alternate between numbers and units of 7.Start with units of 7

And now alternate starting with numbers.

Classify the Polygon

How many sides does this polygon have?4Polygons with four sides are called:

quadrilateralsHow many sets of parallel

lines does this quadrilateral have? 1

Quadrilaterals with one set of parallel lines are called: Trapezoids

!

Classify the Polygon

Is this polygon a quadrilateral?Yes, because it has 4 sides

and 4 angles.

How many right angles does this particular quadrilateral have?Zer

oIs this quadrilateral a trapezoid?Ye

sWhy?

It has at least one set of parallel lines.

Classify the Polygon

How many sets of parallel lines does it have?

Two What do we call all quadrilaterals that have two sets of parallel sides?Parallelograms.

Classify the Polygon

Is this polygon a quadrilateral?

Yes

How many right angles does this quadrilateral have?

Four.

Classify the Polygon

Is this polygon a trapezoid?Yes

Why? It has at least one set of parallel lines.

Classify the Polygon

Is this trapezoid also a parallelogram?

Yes

Why? It has two sets of parallel lines.

Classify the Polygon

Is this parallelogram also a rectangle?

Yes

Why? It has two sets of parallel lines and four right angles.

Classify the Polygon

Is this polygon a quadrilateral?

This is a SQUARE.

☐Is this polygon a trapezoid?☐Is this polygon a parallelogram?☐Is this polygon a rectangle?☐Does this polygon have 4 sides of the same length?

☐

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✔✔✔

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Physiometry

Stand Up!

Stretch one arm directly toward the ceiling.

Stretch the other toward a wall, parallel to the

floor.

What type of angle am I modeling the my arms?

Right Angle

Physiometry

Stretch both arms straight up toward the

ceiling.

What type of lines are we modeling with our

arms?

Parallel Lines

Physiometry

How many sides does a triangle have?

Three

Use your arms to model a triangle with

the person next to you.

Physiometry

What do we call a four-sided figure?

Quadrilateral

Use your hands to model a quadrilateral.

Application Problem

Frankie says that all squares are rectangles, but not all rectangles are squares. Do you agree with this statement? Why or why not? Draw diagrams to support your statement.

Has 4 sidesHas 2 sets of parallel lines

Sides don’t have to be the same lengths.

Has 4 sidesHas 2 sets of parallel lines

Sides are the same lengths.

I agree with Frankie.

Concept Development

Analyze this shape.

List as many of its attributes as you

can.

Quadrilateral.One set of

parallel lines.No right angles.Two angles

greater than a right angle.

Two angles smaller than a right angle.

Polygon Game

We are going to play a game.

I will project a game board with three columns.

Each column has an attribute:Angle type, polygon type, side

type.

We will reveal three attributes, and you will draw a polygon that has those attributes.

Polygon Game

Problem Set