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

Slides:



Advertisements
Similar presentations
7-1 Ratios and Proportions
Advertisements

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–4) Then/Now New Vocabulary Example 1: Classify Polygons Key Concept: Interior Angles of a.
Splash Screen.
Triangle ABC is an isosceles triangle
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 10–4) Then/Now New Vocabulary Example 1:Identify Common Tangents Theorem Example 2:Identify.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–1) Then/Now New Vocabulary Key Concept: Addition Property of Equality Example 1: Solve by.
Splash Screen.
Over Lesson 11–3 A.A B.B C.C D.D 5-Minute Check 1 Find the measure of all angles on the drawing below if m
Over Lesson 11–5 A.A B.B C.C D.D 5-Minute Check 1 Find the measure of all angles. Over Lesson x 54 2x.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 7–4) Then/Now Theorems: Special Segments of Similar Triangles Proof: Theorem 7.8 Example 1:Use.
Splash Screen.
Welcome to Interactive Chalkboard Glencoe Geometry Interactive Chalkboard Copyright © by The McGraw-Hill Companies, Inc. Developed by FSCreations, Inc.,
Splash Screen. Lesson Menu Five-Minute Check (over Chapter 4) Then/Now New Vocabulary Theorems: Perpendicular Bisectors Example 1: Use the Perpendicular.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–4) CCSS Then/Now New Vocabulary Key Concept: Product Property of Radicals Example 1: Simplify.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 1–1) Then/Now New Vocabulary Example 1: Evaluate Expressions Key Concept: Order of Operations.
Splash Screen. Lesson Menu Five-Minute Check CCSS Then/Now New Vocabulary Key Concept: Order of Operations Example 1:Evaluate Algebraic Expressions Example.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–4) NGSSS Then/Now Theorem 11.1: Areas of Similar Polygons Example 1: Find Areas of Similar.
Splash Screen. Over Lesson 7–2 5-Minute Check 1 Over Lesson 7–2 5-Minute Check 2.
Over Lesson 7–2 A.A B.B C.C D.D 5-Minute Check 6 On her last math test, Nina answered 17 out of 20 questions correctly. Which fraction could not be the.
Splash Screen. Lesson Menu Five-Minute Check (over Chapter 3) Then/Now New Vocabulary Key Concept: Distributive Property Example 1: Evaluate Numerical.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 8–3) Then/Now New Vocabulary Example 1: Solve a Logarithmic Equation Key Concept: Property of.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–1) Then/Now New Vocabulary Theorems: Properties of Parallelograms Proof: Theorem 6.4 Example.
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 =
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 7–1) Then/Now New Vocabulary Key Concept: Similar Polygons Example 1:Use a Similarity Statement.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 8–5) NGSSS Then/Now New Vocabulary Theorem 8.10: Law of Sines Example 1: Law of Sines (AAS or.
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.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 1–3) CCSS Then/Now New Vocabulary Key Concept: Absolute Value Example 1:Evaluate an Expression.
Splash Screen. Lesson Menu Five-Minute Check (over Chapter 7) Then/Now New Vocabulary Key Concept: Geometric Mean Example 1:Geometric Mean Theorem 8.1.
Splash Screen.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 7–6) Then/Now New Vocabulary Key Concept: Solving Radical Equations Example 1:Solve Radical.
Chapter 7.1 and 7.7 Ratios and Proportions and Scale Models and Drawings.
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.
Splash Screen. Then/Now You have learned about angles before (previous course) Examine relationships between pairs of angles. Examine relationships of.
Unit 5 – Similarity and Dilations Lesson One Proportion and Similarity
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 9–5) Then/Now Key Concept: Power of a Power Property Example 1: Find the Power of a Power Key.
Splash Screen.
Over Lesson 10–2 A.A B.B C.C D.D 5-Minute Check 5 A.6.5 ft B.6.6 ft C.6.7 ft D.6.8 ft.
Splash Screen. Then/Now You have already solved real-world problems using the percent equations. (Lesson 7–5) Find percent of increase and decrease. Solve.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–2) Then/Now New Vocabulary Example 1:Solve Multi-Step Equations Example 2:Real-World Example:
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–3) Then/Now New Vocabulary Key Concept:Slope-Intercept Form Example 1:Write an Equation in.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 3–5) NGSSS Then/Now New Vocabulary Key Concept: Distance Between a Point and a Line Postulate.
Splash Screen. Lesson Menu Five-Minute Check (over Chapter 5) Then/Now New Vocabulary Theorem 6.1: Polygon Interior Angles Sum Example 1:Find the Interior.
Splash Screen. Lesson Menu Five-Minute Check Then/Now New Vocabulary Key Concept: Order of Operations Example 1:Evaluate Algebraic Expressions Example.
Over Chapter 3 A.A B.B C.C D.D 5-Minute Check 6 A.2 yardsB. C.D.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 10–4) NGSSS Then/Now New Vocabulary Example 1:Identify Common Tangents Theorem Example.
Splash Screen. Lesson Menu Five-Minute Check (over Chapter 10) Then/Now New Vocabulary Key Concept: Pairs of Angles Example 1: Find a Missing Angle Measure.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 1–3) Then/Now New Vocabulary Key Concept: Absolute Value Example 1:Evaluate an Expression with.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 8–2) Then/Now Theorem 8.8: 45°-45°-90° Triangle Theorem Example 1:Find the Hypotenuse Length.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 1–1) Then/Now New Vocabulary Example 1:Length in Metric Units Example 2:Length in Standard Units.
Lesson 6-1 Proportions. Objectives Write ratios Use properties of proportions.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 12–3) NGSSS Then/Now Key Concept : Volume of a Prism Example 1: Volume of a Prism Key Concept:
Areas of Similar Triangles LESSON 11–5. Lesson Menu Five-Minute Check (over Lesson 11–4) TEKS Then/Now Theorem 11.1: Areas of Similar Polygons Example.
Ratios and Proportions Section 7.1 Objective  Use ratios and proportions.
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.
Splash Screen. Then/Now You used trigonometric ratios to solve right triangles. Use the Law of Sines to solve triangles. Use the Law of Cosines to solve.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 4–4) NGSSS Then/Now New Vocabulary Example 1:Solve a Two-Step Equation Example 2:Solve a Two-Step.
Splash Screen.
Splash Screen.
Section 7-1 Ratios and Proportions
Splash Screen.
Warm-Up With your new neighbor, find:
Splash Screen.
Ratios and Proportions
You solved problems by writing and solving equations.
7.1 Notes Ratios and Proportions
Splash Screen.
Splash Screen.
Ratios and Proportions
Five-Minute Check (over Lesson 6) Mathematical Practices Then/Now
Presentation transcript:

Splash Screen

Lesson Menu Five-Minute Check (over Chapter 6) Then/Now New Vocabulary Example 1:Real-World Example: Write and Simplify Ratios Example 2:Use Extended Ratios Key Concept: Cross Products Property Example 3:Use Cross Products to Solve Proportions Example 4:Real-World Example: Use Proportions to Make Predictions Key Concept: Equivalent Proportions

Over Chapter 6 A.A B.B C.C D.D 5-Minute Check 1 Complete the statement about parallelogram LMNO. ? A. B. C. D.

Over Chapter 6 A.A B.B C.C D.D 5-Minute Check 2 A. B. C. D. Complete the statement about parallelogram LMNO. ?

Over Chapter 6 A.A B.B C.C D.D 5-Minute Check 3 A.  MNO B.  LON C.  MPN D.  MPL Complete the statement about parallelogram LMNO.  OLM  ____ ?

Over Chapter 6 A.A B.B C.C D.D 5-Minute Check 4 A. B. C. D. Complete the statement about parallelogram LMNO. ?

Over Chapter 6 A.A B.B C.C D.D 5-Minute Check 5 A.m  A = 60, m  B = 120, m  C = 60, m  D = 120 B.m  A = 65, m  B = 115, m  C = 65, m  D = 115 C.m  A = 65, m  B = 115, m  C = 60, m  D = 120 D.m  A = 70, m  B = 110, m  C = 70, m  D = 110 Find the measure of each interior angle.

Over Chapter 6 A.A B.B C.C D.D 5-Minute Check 6 A.The diagonals are congruent. B.Two sides are both congruent and parallel. C.Two pairs of base angles are congruent. D.One pair of sides are congruent. Which of the statements about an isosceles trapezoid is false?

Then/Now You solved problems by writing and solving equations. (Lesson 0–4) Write ratios. Write and solve proportions.

Vocabulary ratio extended ratios proportion extremes means cross products

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 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 can be written as

A.A B.B C.C D.D Example 1 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.)

Example 2 Use Extended Ratios In ΔEFG, the ratio of the measures of the angles is 5:12:13, and the perimeter is 90 centimeters. Find the measures of the angles. Just as the ratio or 5:12 is equivalent to or 5x:12x, the extended ratio 5:12:13 can be written as 5x:12x:13x. Write and solve an equation to find the value of x. ___ 5 12 ______ 5x5x 12x

Example 2 Use Extended Ratios Answer: So, the measures of the angles are 5(6) or 30, 12(6) or 72, and 13(6) or 78. 5x + 12x + 13x= 180Triangle Sum Theorem 30x= 180Combine like terms. x= 6Divide each side by 30.

A.A B.B C.C D.D Example 2 A.30, 50, 70 B.36, 60, 84 C.45, 60, 75 D.54, 90, 126 The ratios of the angles in ΔABC is 3:5:7. Find the measure of the angles.

Concept

Example 3 Use Cross Products to Solve Proportions A. Answer: y = 27.3 Original proportion Cross Products Multiply. Divide each side by 6. y = 27.3

Example 3 Use Cross Products to Solve Proportions B. Answer: x = –2 Original proportion Cross Products Simplify. Add 30 to each side. Divide each side by 24.

A.A B.B C.C D.D Example 3 A.b = 0.65 B.b = 4.5 C.b = –14.5 D.b = 147 A.

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

Example 4 Use Proportions to Make Predictions PETS Monique 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 Monique’s school, predict the total number of students with a dog or a cat. Write and solve a proportion that compares the number of students who have a pet to the number of students in the school.

Example 4 Use Proportions to Make Predictions 18 ● 870= 30xCross Products Property 15,660= 30xSimplify. 522= xDivide each side by 30. ←Students who have a pet ←total number of students Answer: Based on Monique's survey, about 522 students at her school have a dog or a cat for a pet.

A.A B.B C.C D.D Example 4 A.324 students B.344 students C.405 students D.486 students Brittany randomly surveyed 50 students and found that 20 had a part-time job. If there are 810 students in Brittany's school, predict the total number of students with a part-time job.

Concept

End of the Lesson