Bell Work When given the equation: 2x + 3 > x +5 Solve for x. Explain how you got your answer.

Slides:



Advertisements
Similar presentations
Review Chapter 4.
Advertisements

Scale Factor & Scale Drawings.
What is a scale drawing?
Preview Warm Up California Standards Lesson Presentation.
Lesson 6.5 Scale Drawings Students will be able to understand ratios and proportions in scale drawings.
NM Standards: GT.A.7, GT.B.4. Similar Polygons Two or more polygons that have the same shape, but are different sizes. All corresponding angles are congruent.
Quiz Use the properties of similar figures to answer 1 and 2:
4.1.2 Scale Drawings, How can I use a scale drawing? p192
Scale Drawings and Scale Models
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.
Over Lesson 6–5 A.A B.B C.C D.D 5-Minute Check 1 Write a proportion. Then solve. 18 donuts in 3 boxes, 30 donuts in b boxes There are approximately 2.54.
CROSS-MULTIPLYING. NS 1.3 Use proportions to solve problems (e.g., determine the value of N if 4/7 = N/21, find the length of a side of a polygon similar.
Holt CA Course 1 5-8Scale Drawings and Scale Models Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.
UNIT 2 REVIEW CUSTOMARY LENGTH 12 inches (in) = 1 foot (ft) 36 inches = 3 feet or 1 yard (yd) 5,280 feet = 1 mile (mi) To change from a larger unit of.
Pre-Algebra 7-7 Scale Drawings Learn to make comparisons between and find dimensions of scale drawings and actual objects.
Warm Up Convert each measurement ft 3 in. to inches
Scale Drawings & Scale Models
Divide each side by 2. Write original equation. Write 3x + 2y = 8 so that y is a function of x. EXAMPLE 2 Rewrite an equation Subtract 3x from each side.
Scale Factor. Organizer What is it?Find a Scale Factor #1 RuleReal Word Problem Scale Factor.
Ratio 11/12 My bike’s fuel has a ratio of oil to gas 1 : 25.
7.5-Using Proportional Relationships
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:
3-6 Ratios and Proportions Objective: Students will determine whether two ratios are proportional and solve proportions. S. Calahan 2008.
Scale Drawings & Scale Factor
Surface Area and Volume
Unit 3, Lesson 7: Scale Drawings. Scale drawings are used to represent objects that are either too large or too small for a life size drawing to be useful.
= = Proportions A proportion is an equation that states
Find Actual Measurements
Do Now 10/11/11 In your notebook, consider the following: In your notebook, consider the following: On a bright sunny day, how can you determine the height.
Warm Up Solve each proportion. x = x6x = 2. x6x = x 3.5 = 4. x = 45x = 20 x = 2 x = 4.
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:
Holt CA Course 1 5-8Scale Drawings and Scale Models NS1.3 Use proportions to solve problems (e.g., determine the value of N if T =, find the length of.
Scale Drawing and Models
Chapter 7 Vocab Review. 1. Write the generic formula (proportion) for geometric mean (x) of two positive numbers a & b.
Warm Up Convert each measurement ft 3 in. to inches
 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.
Over Lesson 6–6 A.A B.B C.C D.D 5-Minute Check 1 On a floor plan for a new house, the scale is Find the actual length of the master bedroom which is 5.
Holt CA Course 1 5-8Scale Drawings and Scale Models Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.
Dilations. Transformation – a change in position, size, or shape of a figure Preimage – the original figure in the transformation Image – the shape that.
Section 6.6 Scale Drawings
Scale Drawings.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–6) Then/Now New Vocabulary Key Concept: Similar Triangles Example 1: Find Measures of Similar.
Unit 6 Similarity.
Holt McDougal Geometry 7-5 Using Proportional Relationships 7-5 Using Proportional Relationships Holt Geometry Warm Up Warm Up Lesson Presentation Lesson.
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.
Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Similar Polygons Example 1:Identify Similar Polygons Example 2:Find Missing Measures Key Concept:Ratios.
Holt Geometry 7-5 Using Proportional Relationships Warm Up Convert each measurement ft 3 in. to inches 2. 5 m 38 cm to centimeters Find the perimeter.
Similar Shapes and Scale Drawings
Unit 1: Proportional Reasoning
4-6 Scale Drawings and Scale Models Lesson Scale Drawings and Scale Models Warm Up Write the two requirements needed for two figures to be SIMILAR:
Scale Drawings and Scale Models
5-6 to 5-7 Using Similar Figures
Objective Today you will learn how to change a fraction to a decimal and a percent!
Scale Drawing/Scale Models
Learn to understand ratios and proportions in scale drawings
11/16 Scale Drawings and Scale Factor
REVIEW PROBLEMS = = • 102 = • 102 = Write in Standard Form.
Proportions.
= Divide each measure by the GCF, 3. drawing length actual length
Scale Drawings and Scale Models
LEARNING GOALS – LESSON 7:5
Scale Drawings and Scale Models
ALGEBRA I - SECTION 2-8 (Proportions and Similar Figures)
Similar Figures and SCALE
Lesson – Teacher Notes Standard: 7.G.A.1
Chapter 3: Solving Equations
AIM 7-5: How can we use ratios to make indirect measurements?
Similar Figures and Indirect Measurement
Scale Drawings Determine the rate for ratios of quantities with different units.
Presentation transcript:

Bell Work When given the equation: 2x + 3 > x +5 Solve for x. Explain how you got your answer.

Math notebook & pencil Scale Drawings

Scale Drawing A drawing that shows a real object with accurate sizes except they have all been reduced or enlarged by a certain amount (called the scale).

How to Write it The scale is shown as the length in the drawing, then a colon (":"), then the matching length on the real thing. Example: A drawing has a scale of "1:10", so anything drawn with the size of "1" would have a size of "10" in the real world, so a measurement of 150mm on the drawing would be 1500mm on the real horse.

Scale Factor The ratio of any two corresponding lengths in two similar geometric figures is called as Scale Factor. The ratio of the length of the scale drawing to the corresponding length of the actual object is called as Scale Factor. A scale factor is a number used as a multiplier in scaling. A scale factor is used to scale shapes in 1, 2, or 3 dimensions.

Scale Factors 1. Size Transformation: In size transformation, the scale factor is the ratio of expressing the amount of magnification. 2. Scale Drawing: In scale drawing, the scale factor is the ratio of measurement of the drawing compared to the measurement of the original figure. 3. Comparing Two Similar Geometric Figures: The scale factor when comparing two similar geometric figures, is the ratio of lengths of the corresponding sides.

Example Find the scale factor from the larger rectangle to the smaller rectangle, if the two rectangles are similar. Choices: A. 5:1 B. 5:6 C. 6:5 D. 6:7

Solution Step 1: If we multiply the length of one side of the larger rectangle by the scale factor we get the length of the corresponding side of the smaller rectangle. Step 2: Dimension of larger rectangle × scale factor = dimension of smaller rectangle Step 3: 24 × scale factor = 20 [Substitute the values.] Step 4: Scale factor = 20/24 [Divide each side by 24.] Step 5: Scale factor = = 5:6 [Simplify.] Therefore, scale factor from the larger rectangle to the smaller rectangle is 5:6.

Scale Factor How do you find a scale factor? Virtual Nerd

Example Theo is on a road trip. The next gas station on his route is 9 miles down the road. On a map with a scale of 1 inch = 3 miles, what is the distance between the two gas stations?

Example Leslie made a scale drawing of a city park. The soccer field is 14 millimeters long in the drawing. The actual field is 98 meters long. What is the scale of the drawing?

Example Terrence is an election officer. On election day, he travels from his home to the polling place, which appears 4 centimeters away on a map of the county. If the scale of the map is 1 centimeter = 2 kilometers, then what is the actual distance between Terrence's home and the polling place?

Dr. Noble, a marine biologist, is studying shark attacks on the coast of Lewis County. Two recent attacks took place at beaches separated by 10 inches on a map of the coastline; the beaches are 35 miles apart. What is the scale of the map?