1.A 2.B 3.C 4.D 5Min 7-3 Triangle XYZ has vertices X(2, 2), Y(10, 4), and Z(8, 10). Find the vertices of triangle XYZ after a dilation with a scale factor.

Slides:

Advertisements

Similar presentations

Proportional Relationships

Advertisements

Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Identify Linear Relationships Example 2:Find a Constant Rate of Change Example 3:Identify Proportional.

Splash Screen Chapter 9 Lesson A 2.B 3.C 4.D Solve the inequality –2x ≤ 5. Then check your solution. (over Chapter 8) A. B. C. D.

Lesson 7 MI/Vocab parallel lines perpendicular lines Write an equation of the line that passes through a given point, parallel to a given line. Write an.

Topic A: Proportional Relationships

Splash Screen. Then/Now I CAN use rate of change to solve problems and find the slope of a line. Note Card 3-3A Define Rate of Change and copy the Key.

1.A 2.B 3.C 4.D A.d = 400t; 5 h B.d = 490t; 4 h C.d = 40t; 50 h D.d = 4t; 500 h A baggage train took 3.5 hours to travel 140 miles. Write a direct variation.

 A constant ratio in any proportional relationship  Really just another name for unit rate! Remember, to be constant means it never changes!

 A constant ratio in any proportional relationship  Really just another name for unit rate! Remember, to be constant means it never changes!

Write the equation of a line in point-slope form.

Graph quadratic functions.

Proportional Relationships

Find the rate of change for the linear function represented in the graph. A ski lift goes from the base of a mountain to a point near the top of the mountain.

Then/Now You recognized arithmetic sequences and related them to linear functions. (Lesson 3–5) Write an equation for a proportional relationship. Write.

Over Lesson 8–3 A.A B.B C.C D.D 5-Minute Check 1 The equation y = 23x describes the approximate number of miles y that a car can go on x gallons of gas.

Find the surface area of a rectangular prism with length of 6 inches, width of 5 inches, and height of 4.5 inches. Round to the nearest tenth. Find the.

Lesson 2 Menu Five-Minute Check (over Lesson 2-1) Main Idea Targeted TEKS Example 1:Compare Positive Rational Numbers Example 2:Compare Using Decimals.

Lesson 1 Menu Five-Minute Check (over Chapter 6) Main Ideas and Vocabulary Targeted TEKS Example 1: Identify Monomials Key Concept: Product of Powers Example.

Algebra 1 Mini-Lessons T = 20 − M T = M + 4 T + M = 4 T + 16 = 20M

1.A 2.B 3.C 4.D 5Min /6 Honors Algebra Warm-up Write an equation in function notation for the following relationship. What is the rate? Time walking.

Lesson 1 MI/Vocab ratio rate unit rate Express ratios as fractions in simplest form and determine unit rates.

Lesson 7 MI/Vocab scale drawing scale model scale Solve problems involving scale drawings.

Lesson 9 MI/Vocab negative numbers- numbers less than zero positive numbers- numbers greater than zero Opposites- numbers that are the same distance from.

Lesson 1 MI/Vocab rate of change slope Use rate of change to solve problems. Find the slope of a line.

Proportional vs. Non-Proportional If two quantities are proportional, then they have a constant ratio. –To have a constant ratio means two quantities.

Lesson Beats in 2 minutes = ? ---- Number of beats in 1 minute Number of beats in 1 minute -- minutes--

Over Lesson 6–4 A.A B.B 5-Minute Check 1 Determine whether the sets of numbers in the table are proportional. B. A deli sells 3 pounds of sliced meat for.

Graphing proportional

1.A 2.B 3.C 4.D 5Min 2-3 Determine the slope of the line that passes through the points (–3, 6) and (2, –6). 11/8 Honors Algebra Warm-up A. B. C.0 D.undefined.

Transparency 3 Click the mouse button or press the Space Bar to display the answers.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 3–2) CCSS Then/Now New Vocabulary Key Concept: Rate of Change Example 1: Real-World Example:

Splash Screen. 1.A 2.B 3.C Five Minute Check 5 Determine whether the following statement is sometimes, always, or never true. Explain by giving an example.

Welcome to Interactive Chalkboard

Write and graph linear equations in slope-intercept form.

Then/Now You graphed ordered pairs in the coordinate plane. (Lesson 1–6) Use rate of change to solve problems. Find the slope of a line.

What is best? 20oz popcorn for $4.50 or 32 oz popcorn for $7.00 ? $ 4.50 / 20 = $0.225 per oz so $0.23 Here is the Unit Cost: $7.00 / 32 = $ per.

Transparency 2 Click the mouse button or press the Space Bar to display the answers.

Lesson 5 Menu 1.Find the surface area of the regular pyramid shown. Round to the nearest tenth if necessary. 2.Find the surface area of the regular pyramid.

Then/Now You found rates of change of linear functions. (Lesson 3–3) Write and graph direct variation equations. Solve problems involving direct variation.

Modeling and Data Analysis Questions courtesy of the Smarter Balanced Assessment Consortium Item Specifications – Version 3.0 Slideshow organized by SMc.

Contents Lesson 7-1Solving Equations with Variables on Each Side Lesson 7-2Solving Equations with Grouping Symbols Lesson 7-3Inequalities Lesson 7-4Solving.

Lesson 5 MI/Vocab slope-intercept form y-intercept Graph linear equations using the slope and y-intercept.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 3–2) CCSS Then/Now New Vocabulary Key Concept: Rate of Change Example 1: Real-World Example:

Lesson 3 Menu 1.Find the lateral area of the prism shown. 2.Find the surface area of the prism shown. Round to the nearest tenth if necessary. 3.Find the.

Lesson Menu Main Idea and New Vocabulary Key Concept:Slope Example 1:Find Slope Example 2:Interpret Slope.

Rate of Change and Slope Lesson 3-3 Splash Screen.

Lesson 1 MI/Vocab radical expression radicand rationalizing the denominator conjugate Simplify radical expression using the Product Property of Square.

Key Concept 4a BrainPop: Multiplying and Dividing Fractions.

Lesson 5 MI/Vocab prism base height cylinder volume Find the volumes of prisms and cylinders. The volume of a solid is the number of cubic units contained.

Topic A: Proportional Relationships

Proportional and Non- Proportional Relationships using Tables Objective: I will determine proportional and non-proportional relationships using tables.

A proportion is an equation stating that two ratios are equal.

2.2 Constant Rates of Change

Constant Rate of Change

Lesson 13.3 – Graphing Proportional Relationships

Proportional Relationships

2/26 Honors Algebra Warm-up

Chapter 1.9 Direct Variation.

Lesson 4.3 Graphing Proportional Relationships

Constant Rate of change

Proportional and Non-Proportional Relationships

Identifying Proportional and Non-Proportional Relationships

Proportional Relationships

Bell-work 9/29/16 Triangle XYZ has vertices X(2, 2), Y(10, 4), and Z(8, 10). Find the vertices of triangle X’Y’Z’ after a dilation with a scale factor.

Main Idea and New Vocabulary NGSSS

Proportional Relationships

Main Idea and New Vocabulary Example 1: Identify Linear Relationships

Graph Proportional Relationships

Agenda Ticket in the Door Review of ticket in the Door

Presentation transcript:

1.A 2.B 3.C 4.D 5Min 7-3 Triangle XYZ has vertices X(2, 2), Y(10, 4), and Z(8, 10). Find the vertices of triangle XYZ after a dilation with a scale factor of 3. Bell-work 9/28/15 A student is making a model skeleton of the human body. The scale she is using is 0.5 inch = 1 foot. Find the model length for the height that has an actual length of 12 feet.

Lesson 9 MI/Vocab rate of change Find rates of change.

Lesson 9 Ex1 Find a Positive Rate of Change DOGS The table below shows the weight of a dog in pounds between 4 and 12 months old. Use the information in the table to find the rate of change in the dog’s weight between 8 and 12 months of age.

Lesson 9 Ex1 Find a Positive Rate of Change Answer:The dog grew an average of 3.75 pounds per month. The dog grew from 28 to 43 pounds from ages 8 to 12 months. Subtract to find the change in weights and ages. Express this rate as a unit rate.

A.A B.B C.C D.D Lesson 9 CYP1 A.2 inches per year B.2.2 inches per year C.2.5 inches per year D.3 inches per year HEIGHTS The table below shows Julia’s height in inches between the ages of 6 and 11. Find the rate of change in her height between ages 6 and 9.

Lesson 9 Ex2 Find a Negative Rate of Change SCHOOLS The graph shows the number of students in the eighth grade between 2000 and Find the rate of change between 2002 and 2004.

Lesson 9 Ex2 Find a Negative Rate of Change Use the data to write a rate comparing the change in students to the change in time. The number of students changed from 485 to 459 from 2002 to Simplify. Express as a unit rate.

Lesson 9 Ex2 Find a Negative Rate of Change Answer: The rate of change is –13 students per year. The rate is negative because between 2000 and 2002, the number of students decreased. This is shown on the graph by a line slanting downward from left to right.

Lesson 9 Concept Summary 1

Lesson 10 MI/Vocab linear relationship constant rate of change Identify proportional and nonproportional linear relationships by finding a constant rate of change.

Lesson 10 Ex1 Identify Linear Relationships BABYSITTING The amount a babysitter charges is shown. Is the relationship between the number of hours and the amount charged linear? If so, find the constant rate of change. If not, explain your reasoning.

Lesson 10 Ex1 Identify Linear Relationships Examine the change in the number of hours worked and in the amount earned.

A.A B.B C.C D.D Lesson 10 CYP1 BABYSITTING The amount a babysitter charges is shown. Is the relationship between the number of hours and the amount charged linear? If so, find the constant rate of change.

Lesson 10 Ex2 Find a Constant Rate of Change TRAVEL Find the constant rate of change for the hours traveled and miles traveled. Interpret its meaning. Choose any two points on the line and find the rate of change between them.

Lesson 10 Ex2 Find a Constant Rate of Change Answer: The rate of speed is 30 miles per hour. The amount of miles changed from 60 to 120 between hours 2 and 4. Subtract to find the change in miles and the change in time. Express this rate as a unit rate.

Lesson 10 CYP2 1.A 2.B 3.C 4.D A.The rate of speed is 20 miles per hour. B.The rate of speed is 25 miles per hour. C.The rate of speed is 40 miles per hour. D.The rate of speed is 50 miles per hour. TRAVEL Find the constant rate of change for the hours traveled and miles traveled. Interpret its meaning.

Lesson 10 Ex3 Identify Proportional Relationships TAXIS Use the graph to determine if there is a proportional linear relationship between the miles driven and the charge for a ride. Explain your reasoning. Since the graph of the data forms a line, the relationship between the two scales is linear. This can also be seen in the table of values created using the points on the graph.

Lesson 10 Ex3 Identify Proportional Relationships To determine if the two scales are proportional, express the relationship between the charges for several miles as a ratio. Answer: Since the ratios are not all the same, the total charge is not proportional to the number of miles driven.

1.A 2.B Lesson 10 CYP3 MOVIES Use the graph to determine if there is a proportional linear relationship between the number of movies rented and the total cost. Explain your reasoning. A.The data lie in a straight line and the ratio of the number of movies rented to the total cost is always the same, so there is a proportional linear relationship. B.The data lie in a straight line but the ratio of the number of movies rented to the total cost is not always the same, so there is not a proportional linear relationship.

Lesson 10 Concept Summary 1

End of Lesson 10