Chapter 7.1 and 7.7 Ratios and Proportions and Scale Models and Drawings.

Slides:

Advertisements

Similar presentations

Review Chapter 4.

Advertisements

New Mexico Standards: AFG.D.2, GT.B.4

7-1 Ratios and Proportions

Chapter 5 Ratios, Rates, Proportions

2.5 Solving Proportions Write and use ratios, rates, and unit rates. Write and solve proportions.

You used scale factors to solve problems with similar polygons. Interpret scale models. Use scale factors to solve problems.

Algebra I Vocabulary Chapter 2. Equations that have the same solution(s) are called.

Changes for 2 nd Semester: 1.Two separate interactive notebooks (Notes & Scholar Work) 2.No intervention/reteach week 3.Retakes will be taken after school.

Objectives: To solve proportions and write ratios.

3-6 Ratios and Proportions Objective: Students will determine whether two ratios are proportional and solve proportions. S. Calahan 2008.

Algebra 1 Notes 3.6 Warm Up Vocabulary 3.6 Ratio: Comparison of two numbers by division. Can be expressed 3 ways. Proportion: Equation stating.

1/29/13. Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve each equation x + 5 x + 6 x =

Find Actual Measurements

Ratio, Rate, Proportion, and Percent. Ratio  Comparison of two numbers by division  Can be written three different ways 4 to 9 4 :

Over Chapter 6 5-Minute Check 1 Complete the statement about parallelogram LMNO. Ch 9.1  OLM  ____ Find the measure of each interior angle. ON LO y =

Example 1 Write and Simplify Ratios SCHOOL The total number of students who participate in sports programs at Central High School is 520. The total number.

CCSS Content Standards G.MG.3 Apply geometric methods to solve problems (e.g., designing an object or structure to satisfy physical constraints or minimize.

Example 1 Use a Scale Drawing MAPS The distance between Boston and Chicago on a map is 9 inches. If the scale of the map is 1 inch: 95 miles, what is the.

A scale model or scale drawing is an object or drawing with lengths proportional to the object it represents. The scale of a model or drawing is the ratio.

A ratio is a comparison of two quantities using division. The ratio of quantities a and b can be expressed as a to b, a : b, or, where b ≠ 0. Ratios are.

RATIOS AND PROPORTIONS

Unit 5 – Similarity and Dilations Lesson One Proportion and Similarity

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 7–6) CCSS Then/Now New Vocabulary Example 1:Use a Scale Drawing Example 2:Find the Scale Example.

3-9 Proportions Warm-up Problems Simplify

Splash Screen. Lesson Menu Five-Minute Check (over Chapter 6) Then/Now New Vocabulary Example 1:Real-World Example: Write and Simplify Ratios Example.

Ratios, Rates, and Conversions Section 2-6. Goals Goal To find ratios and rates. To convert units and rates. Rubric Level 1 – Know the goals. Level 2.

HONORS GEOMETRY 7.1. Ratios and Proportions. Schedule: Tuesday: Ratio and Proportions Wednesday: Similar Polygons Thursday + Friday: Similar Triangles.

Lesson 6-1 Proportions. Objectives Write ratios Use properties of proportions.

Ratios and Proportions Section 7.1 Objective  Use ratios and proportions.

Chapter 3 – Solving Linear Equations Algebra I A - Meeting 16 Section 3.5 – Write Ratios and Proportions Ratio – uses division to compare to quantities.

Ratios and Proportions LESSON 7–1. Lesson Menu Five-Minute Check (over Chapter 6) TEKS Then/Now New Vocabulary Example 1:Real-World Example: Write and.

6.1 Ratios, Proportions and Geometric Mean. Objectives WWWWrite ratios UUUUse properties of proportions FFFFind the geometric mean between.

2.1 Rates, Ratios, and Proportions EQ: How can I use units to understand problems and guide the solution of proportions?

Entry task…. 1) The table below gives the wins and losses of a baseball team. In which year did the team have the best record? Explain. YearWinsLoses

Rates, Ratios, and Proportions

Scale Drawing and Models

Seating Chart /New Students Second Semester Policies

7.1 OBJ: Use ratios and proportions.

Scale Drawing/Scale Models

7.7 Notes Scale Drawing and Models

A ratio compares two numbers by division

Chapter 7-1: Proportions

Rates, Ratios, and Proportions

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

2-6 Ratios and Proportions

Section 7-1 Ratios and Proportions

7-1 Ratio and Proportion Warm Up Lesson Presentation Lesson Quiz

7-1 Vocabulary Ratio Proportion Extremes Means Cross products.

Warm-Up With your new neighbor, find:

Rates, Ratios, and Proportions

Ratios and Proportions

You solved problems by writing and solving equations.

7.1 Notes Ratios and Proportions

Proportions and Similar Polygons

Goal: The learner will use proportions to find measures of objects.

Scale Drawing and Models

Rates, Ratios, and Proportions

Do Now… AFTER all of that, at the end of your notes from yesterday

7.1 Ratio and Proportion.

Ratios and Proportions

Bellwork A scale model of the Statue of Liberty is 15 inches tall. If the Statue of Liberty is 305 feet tall, find the scale of the model. A map has.

Presentation transcript:

Chapter 7.1 and 7.7 Ratios and Proportions and Scale Models and Drawings

Definitions  Ratio – a comparison of two quantities using division  Proportion – an equation stating that two ratios are equal

Write and Simplify Ratios SCHOOL The number of students who participate in sports programs at Central High School is 520. The total number of students in the school is Find the athlete-to-student ratio to the nearest tenth. To find this ratio, divide the number of athletes by the total number of students. Answer: The athlete-to-student ratio is 0.3.

A.0.3 B.0.5 C.0.7 D.0.8 The country with the longest school year is China, with 251 days. Find the ratio of school days to total days in a year for China to the nearest tenth. (Use 365 as the number of days in a year.)

Use Extended Ratios In Δ EFG, the ratio of the measures of the angles is 5:12:13. Find the measures of the angles.

A.30, 50, 70 B.36, 60, 84 C.45, 60, 75 D.54, 90, 126 The ratios of the angles in Δ ABC is 3:5:7. Find the measure of the angles.

Concept

Use Cross Products to Solve Proportions Answer: y = 27.3

Use Cross Products to Solve Proportions B.

A.b = 0.65 B.b = 4.5 C.b = –14.5 D.b = 147 A.

A.n = 9 B.n = 8.9 C.n = 3 D.n = 1.8 B.

Use Proportions to Make Predictions PETS Hima randomly surveyed 30 students from her class and found that 18 had a dog or a cat for a pet. If there are 870 students in Hima’s school, predict the total number of students with a dog or a cat.

Recipes Suppose we are having a class party and Jess volunteers to bring guacamole. She has recipe that uses 4 avocadoes to make 10 servings. How many avocadoes does she need to make 25 servings?

Scale Models and Drawings  A scale model or a scale drawing is an object or drawing with lengths proportional to the object it represents. The scale of a model or drawing is the ratio of a length to the model or drawing to the actual length of the object being modeled or drawn.

Use a Scale Drawing MAPS The distance between Boston and Chicago on a map is 9 inches. If the scale of the map is 1 inch: 95 miles, what is the actual distance from Boston to Chicago?

A.800 miles B.900 miles C.630 miles D.720 miles MAPS The distance between Cheyenne, WY, and Tulsa, OK, on a map is 8 inches. If the scale of the map is 1 inch : 90 miles, what is the actual distance from Cheyenne to Tulsa?

Find the Scale A. SCALE MODEL A miniature replica of a fighter jet is 4 inches long. The actual length of the jet is 12.8 yards. What is the scale of the model? Answer: The scale of the model is 1 in. : 3.2 yd.

Find the Scale B. SCALE MODEL A miniature replica of a fighter jet is 4 inches long. The actual length of the jet is 12.8 yards. How many times as long as the actual is the model jet? Answer: The scale factor is : 1. That is, the actual jet is times as long as the model.

A.2 in. : 3 yd B.1 in. : 3 yd C.2 in. : 5 yd D.3 in. : 4 yd A. SCALE MODEL A miniature replica of a fire engine is 9 inches long. The actual length of the fire engine is 13.5 yards. What is the scale of the replica?

A.48 B.54 C.60 D.63 B. SCALE MODEL A miniature replica of a fire engine is 9 inches long. The actual length of the fire engine is 13.5 yards. How many times as long as the model is the actual fire engine?