To understands what scale drawings are. To be able to draw scale drawings.

Slides:

Advertisements

Similar presentations

Scale Factor & Scale Drawings.

Advertisements

5.7 Scale Drawings and Models

Lesson 6.5 Scale Drawings Students will be able to understand ratios and proportions in scale drawings.

2-8 Proportions and Similar Figures

Scale Drawings.

To understands what scale drawings are. To be able to draw scale drawings To understand scale drawings.

Proportions and Scale Drawings Textbook Pages

RATIOS OF SCALE DRAWINGS. SCALE DRAWINGS SCALE DRAWINGS: A scale drawing is a drawing that represents a real object. The scale of the drawing is the ratio.

Problem of the Day 1) Find the Length of the missing side.

Map Scale & Distance L.O: Identify distances on maps of varying scales – Local, national, global. Starter: Draw a quick (really quick) map of the classroom.

Proportions and Scale Drawings Textbook Pages

.. Objectives: Students will be able to:  Understand what scale drawings are.  Find the scale of a drawing  Convert map distances to actual disctances.

Maps and Scale Drawings

Scale Drawings & Scale Models

All scale drawings must have a scale written on them. Scales are usually expressed as ratios. Normally for maps and buildings the ratio: Drawing length:

Shape and Space Dilations The aim of this unit is to teach pupils to:

Surface Area and Volume

= = Proportions A proportion is an equation that states

Find Actual Measurements

Lesson 17 Using Scale Drawings. Scale Drawings Scale drawings and scale models make it possible to show objects accurately that are either too large or.

All scale drawings must have a scale written on them. Scales are usually expressed as ratios. Normally for maps and buildings the ratio: Drawing length:

7-2 Similar Polygons.

Scale Drawing and Models

7.2 Similar Polygons Similar figures – have the same shape but not necessarily the same size. You can abbreviate is similar to with the symbol ~ . Two.

Scale drawings. Scale drawings are used when it is unrealistic to think about drawing an object in its actual size; so we need to “scale” them down Observe…

Extension 3.6 Proportions and Similar Figures A.What do you know about similar triangles and congruent triangles? B.Definitions 1.Similar triangles – have.

7-2 Similar Polygons. Similar Figures: have the same shape but not necessarily the same size. You can abbreviate is similar to with the symbol ~

7-2 Similar Polygons Objective To identify and apply similar polygons.

 Two figures are similar if…  1.) Their corresponding angles are congruent  2.) The corresponding sides are PROPORTIONAL!!! 5 in A B C D 4 in 10 in.

USING MAP SCALES. Map Scale  A scale is a statement of the relationship between distances on a map and distances in real life.  A drawing that is made.

Welcome to Math 6 Scale Factors. The Connector… OBJECTIVES: Each student will: 1.Explain the meaning of the term scale factor. 2.Understand ratios and.

Similar Figures and Scale Drawings

Unit Goals – 1. Solve proportions and simplify ratios. 2. Apply ratios and proportions to solve word problems. 3. Recognize, determine, and apply scale.

Scale Drawings and Models SWBAT use proportions to solve scale- drawing and scale-model problems; use a map scale; use a scale factor to make a scale model.

Section 6.6 Scale Drawings

Scale Drawings. Scale – The ratio that compares the measurements of the real object and its model. EX: 1 in = 6 ft Scale factor – written as a ratio without.

Unit 6 Similarity.

Ms. Drake 7th grade Math Fractions Lesson 46 Scale Drawings and Scale Models.

2.4 Applications of Ratios Mme DiMarco.  Learning Goal: Use ratios to solve problems Learning Goal.

All scale drawings must have a scale on them. Scales are usually expressed as a ratio. Normally, for buildings and models, the ratio is : Drawing Length.

Scale Drawings To understands what scale drawings are.

Objective To identify and apply similar polygons

Scale Factor & Scale Drawings.

Similar Polygons.

7-2 Similar Polygons.

7-2 Similar Polygons.

Starter Write down as many examples as you can where we would use a scale.

Agenda: Ratio Notes/Practice Proportions Notes/Practice Applications

Maps and scale drawings are:

= Divide each measure by the GCF, 3. drawing length actual length

Geometric Representations 1.8 AS Credits

Scale Factor & Scale Drawings.

ALGEBRA I - SECTION 2-8 (Proportions and Similar Figures)

Rates, Ratios and Proportions

AIM 7-5: How can we use ratios to make indirect measurements?

Similarity and Congruence

Scale Drawings L.O. All pupils understand what a scale does

Unit 9. Day 17..

7.2 Similar Polygons Two polygons are similar (~) if and only if their

Scale Drawings L.O. All pupils understand what a scale does

Scale: Is it an accurate representation?

(-) + (-) = ? (+) x (+)= ? (-)+(+)= ? Ticket in the Door

Scale factor, scale, area, perimeter, and redrawing figures

Similar triangles: Missing sides

Proportions and Similar Figures

Rates, Ratios and Proportions

Presentation transcript:

To understands what scale drawings are. To be able to draw scale drawings

What are scale drawings? Scale drawings are everywhere! Scale Drawings On Maps Footprints of houses Vehicle design Can you think of any more?

Scale drawings are SIMILAR to the original. Same shape, different size. Similar - same angles and the sides must be in the same ratio. Example: Are these two shapes similar? Angles the same x2 Sides have the same ratio – x2 The two shapes are similar

Are these pairs of shapes similar ? 3cm 9cm 2cm 6cm 40° 50° 5m 6m 4m 10m 2m 3m 1m 1.5m 50° 60° 70°

All scale drawings must have a scale written on them. Scales are usually expressed as ratios. Normally for drawings and building plans the ratio: Drawing length: Actual length For maps the ratio is normally in the ratio: Map distance: Actual Distance Example: 1cm : 100cm The ratio 1cm:100cm means that for every 1cm on the scale drawing the length will be 100cm in real life Example: 1:10000 The ratio 1:10000 means that the real distance is times the length of one unit on the map or drawing.

When you write a scale you must make sure that the units are the same. Example Simplify the scale 5cm to 1m 5cm:1m 5cm:100cm 1cm:20cm Convert to the same units Simplify Questions – Simplify the following scales 1) 10cm: 2m 2) 5mm:10cm 3) 1cm:1km 1cm:20cm 1mm:20mm 1cm:100000cm