Final Exam Review: Measurement and Trigonometry

Slides:

Advertisements

Similar presentations

Trigonometry Ratios.

Advertisements

Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent.

4.2 Using Similar Shapes How can you use similar shapes to find unknown measures?

I can use proportions to find missing measures in similar figures

DO NOW ft 4ft On a Sunny Day, a person who is 6ft tall casts a 4ft shadow. This is proportional to the height of a nearby flagpole which casts.

November 3, 2014 NEW SEATS!!. November 3, 2014 W ARM -U P : A scale drawing of a rectangular rug has dimensions 8 inches by 5 inches. The length of the.

 Old stuff will be used in this section › Triangle Sum Theorem  The sum of the measures of the angles in a triangle is 180° › Pythagorean Theorem 

6/10/2015 8:06 AM13.1 Right Triangle Trigonometry1 Right Triangle Trigonometry Section 13.1.

Proportions This PowerPoint was made to teach primarily 8th grade students proportions. This was in response to a DLC request (No. 228).

Answer: 18in/minute x 60min/1hour = 1080 inches/hour

MFM 2P Review for Quiz xy First Differences -310 Second Differences xy First Differences -316 Second Differences

Similar figures have exactly the same shape but not necessarily the same ______________. Corresponding sides of two figures are in the same relative position,

Chapter 8 Review. Write the formulas for finding the areas of each or the following: 1.Triangle ____________________ 2.Rectangle ____________________.

EXAMPLE 3 Standardized Test Practice.

EXAMPLE 3 Standardized Test Practice. EXAMPLE 3 Standardized Test Practice SOLUTION The flagpole and the woman form sides of two right triangles with.

Chapter 6: Trigonometry 6.2: Trigonometric Applications

Geometry Warm-Up Solve for the missing side (Solve for x): Set up ratio, last step, plug into calculator 52° 32 x 33° 8x 13° x11.

Warm-Up Make all units the same then solve for the missing side 32 in.

Geometry One is always a long way from solving a problem until one actually has the answer. Stephen Hawking Today: ACT VOCAB CHECK 8.4 Cont. Practice.

AREA OF A TRIANGLE. Given two sides and an included angle:

Unit 6 Trigonometry Right Triangles LG: I can use the Pythagorean theorem to solve for sides in right triangles.

1-9 applications of proportions

Similar figures have exactly the same shape but not necessarily the same size. Corresponding sides of two figures are in the same relative position, and.

Classifying Triangles By Angles Acute: all three angles are less than 90 ◦ Obtuse: one angle is greater than 90 ◦ Right: one angle measure is 90 ◦ By.

Trigonometry 2. Finding Sides Of Triangles. L Adj’ Hyp’ 21m 23 o …………….

AREA Remember: The perimeter of a shape is a measure of distance around the outside. The area of a shape is a measure of the surface/space contained.

2.8 – Proportions & Similar Figures “I can solve proportions using scale factors.” “I can find missing side lengths of similar figures.”

UNIT 5: TRIGONOMETRY Final Exam Review. TOPICS TO INCLUDE  Pythagorean Theorem  Trigonometry  Find a Missing Side Length  Find a Missing Angle Measure.

© 2010 Pearson Prentice Hall. All rights reserved. CHAPTER 10 Geometry.

Similar figures have the same shape but not necessarily the same size.

Rational and Irrational

Right Triangle Trigonometry

5.7 CONVERTING UNITS LO: CONVERT BETWEEN METRIC AND IMPERIAL UNITS OF MEASURE.

TRIGONOMETRY Lesson 2: Solving Right Triangles. Todays Objectives Students will be able to develop and apply the primary trigonometric ratios (sine, cosine,

Similar Triangles Application

When a 6-ft student casts a 17-ft shadow, a flagpole casts a shadow that is 51 ft long. Find the height of the flagpole. Similarity and Indirect Measurement.

Indirect Measurement Unit 7.5 Pages Warm Up Problems Fill in the missing value 1. 6 = 18 t k = = 42 8 n t = 15 k = 5 n =

Splash Screen. Then/Now You used the Pythagorean Theorem. Find trigonometric ratios of angles. Use trigonometry to solve triangles.

Groundhog Day A 16 inch tall groundhog emerges on Groundhog Day near a tree and sees its shadow. The length of the groundhog’s shadow is 5 inches, and.

A Quick Review ► We already know two methods for calculating unknown sides in triangles. ► We are now going to learn a 3 rd, that will also allow us to.

Review Quiz: 1. Maria is 4 ft 2 in. tall. To find the height of a flagpole, she measured her shadow and the pole’s shadow. What is the height h of the.

Section 4-2: Proportions and Similar Figures SPI 12F: Select ratios and proportions to represent real-world problems Objective: use proportions to find.

37° x 3 y Find x and y using Trig Ratios. How do we use trig ratios to solve for missing sides and angles in right triangles? AGENDA: WARMUP – GO OVER.

1.Name the different types of triangles 2.What is the angle sum of a triangle rule? 3.What is Pythagorean Theorem and when can we use it? 4.What do you.

Indirect Measurement. Indirect Measurement: Allows you to use properties of similar polygons to find distances or lengths that are difficult to measure.

6.1 Law of Sines Objectives:

Calculating Sine, Cosine, & Tangent (5.9.1)

Jeopardy Slope Pythagorean Theorem Area & Perimeter Q $100 Q $100

Similarity and Indirect Measurement

7.7 Solve Right Triangles Obj: Students will be able to use trig ratios and their inverses to solve right triangles.

CHAPTER 10 Geometry.

Indirect Measurement and Trigonometry

Lesson 6.5 Similarity and Measurement

Similar triangles.

Other ways to solve the math.

Module 17: Lesson 3 Using Proportional Relations

Similar Figures Use a proportion to compare similar sides to solve for an unknown length. If each pair of figures is similar, find the length of x

Similar Figures To find an unknown side length in similar figures:

6.3 AA Similarity Geometry.

Right Triangle Trigonometry

Chapter 2 Similarity and Dilations

Geometry Topics Name: __________________________

Warm Up: Find the angle measurement for the labeled reference angle to the nearest degree. The reference angle is labeled with Theta. 9 ft. 17 cm 8 cm.

Similar Triangles Review

Similar Triangles and Ratios

Similarity and Indirect Measurement

Warm Up Find the slope of the line through each pair of points.

The Sine Rule. A B C ao bo co.

Unit 5: Trigonometry Final Exam Review.

Presentation transcript:

Final Exam Review: Measurement and Trigonometry MFM 2P Final Exam Review: Measurement and Trigonometry

Final Exam Review: Measurement MFM 2P Final Exam Review: Measurement Converting with the Metric System

Final Exam Review: Measurement MFM 2P Final Exam Review: Measurement Examples: 1km = m 45m = cm 4ml = kl km = 5432 cm

Final Exam Review: Measurement MFM 2P Final Exam Review: Measurement Converting between Metric and Imperial

Final Exam Review: Measurement MFM 2P Final Exam Review: Measurement Converting between Metric and Imperial Convert 22 inches to cm: Step one - Set up a ratio using the conversion chart 1 inch : 2.54 cm Step two – Multiply both sides of the ratio by the number you are given 1 inch X 22 : 2.54 X 22 Step Three – Solve 22 inches: 55.88 cm

Final Exam Review: Measurement MFM 2P Final Exam Review: Measurement Converting between Metric and Imperial Convert 7 metres to yards: Step one - Set up a ratio using the conversion chart 1.09 yard : 1 m Step two – Multiply both sides of the ratio by the number you are given 1.09 yard X 7 : 1 m X 7 Step Three – Solve 7.63 yards : 7 m

Final Exam Review: Measurement MFM 2P Final Exam Review: Measurement Converting between Metric and Imperial Convert 80 cm to feet:

Final Exam Review: Measurement MFM 2P Final Exam Review: Measurement Solving Proportions 9 8 = 𝑥 64

Final Exam Review: Measurement MFM 2P Final Exam Review: Measurement Solving Proportions 5 𝑥 = 4 6

Final Exam Review: Measurement MFM 2P Final Exam Review: Measurement Similar Triangles 5 6 x 15 y 20 𝜃 𝛽 𝜃 𝛽

Final Exam Review: Measurement MFM 2P Final Exam Review: Measurement Pythagorean Theorem – Calculate the length of the unknown side 8cm 4cm

Final Exam Review: Measurement MFM 2P Final Exam Review: Measurement Trigonometry – Label the triangle and state the 3 primary trig ratios 𝜽 Reference Angle

Final Exam Review: Measurement MFM 2P Final Exam Review: Measurement Solve for x 32° 12 m x

Final Exam Review: Measurement MFM 2P Final Exam Review: Measurement Solve for x x 7 m 5 m

Final Exam Review: Measurement MFM 2P Final Exam Review: Measurement A flagpole casts a shadow 25 m long at the same time that a person 1.7m tall casts a shadow 6 m long. Find the height of the flagpole.

Final Exam Review: Measurement MFM 2P Final Exam Review: Measurement A ramp goes from the main level of a stadium to the second floor. The ramp makes an angle of 15 with the ground. The second floor is 20 ft above the main floor. How long is the sloped part of the ramp?