كتاب الطالب Interactive الرياضيات Reveal الصف السابع منهج انجليزي الفصل الثالث 2021 2022

**Reveal Math Accelerated Brings Math to Life in Every Lesson**

Reveal Math Accelerated is a blended print and digital program that supports access on the go. Yu'll find the Interactive Student Edition aligns to the Student Digital Center so you can record your digital observations in class and reference your notes later or access just the digital center , or a combination of both ! The Student Digital Center provides access to the interactive lessons , interactive content , animations , videos , and technology - enhanced practice questions

Write down yur username and password her

Password

#### Understand Proportional

I Can …… use models and ratio reasoning to understand how a proportional relationship can exist quantities

Learn Proportional Relationships When baking. the ratio(s) of ingredients is important to maintain. The table shows a common recipe for pizza dough. Too much or tCx little of any one ingredient will not create a dough

In this the ratio of cups of flour to cups of water is 3 : I. Suppose you wanted to make two batches of dough. Is the ratio of Ingredient flour to water the same ? What if you wanted to make three batches ? The bar diagrams show the relationship between flour and water for different batches of dough. In each batch. 3 equal - size sections represent cups of flour , and 1 section of the same size represents cups of water

One Batch

For one batch. the ratio iS 3 cups of flour to 1 cup of water

For two batches , the ratio is 6 cups of flour to 2 cups of water. For every 3 cups of flour. you need 1 cup of water. The ratio 3 : 1 iS maintained

For three batches , the ratio is 9 cups of flour to 3 cups of water. For every 3 cups of flour. you need 1 cup of water. The ratio 3 : 1 is maintained

The ratio of cups of flour to cups of water is maintained regardless of how many batches of pizza dough you make. In each batch. there are 3 cups of flour for every 1 cup of water

Two quantities are in a proportional relationship if the two quantities vary and have a constant ratio between them. For example. if a recipe calls for 2 cups of flour for every 1 cup of sugar. the ingredients are in a relationship while the number of cups of flour or sugar can vary, the ratio of cups of flour to sugar is constant. 2 : 1

Some relationships are not proportional relationships. In these cases. a ratio is not maintained. For example , suppose that Pedro is 14 years old and his little brother is 7 years old. The ratio between their current ages is 14 : 7. Pedro is currently twice as old as his brother. Will he always twice as old ? The bar diagram represents this relationship. Because Pedro is currently twice as old as his brother , the diagram representing Pedro's age has twice as many sections as the bar diagram representing his brother's age

The ratio Pedro's age and his brother's age is 14 : 7 This ratio is equivalent to 2 : 1 14 is twice as great as 7 In five years. Pedro will 14 + 5 , or 19 years old and his brother will 7 + 5. or 12 years old. Add a section to each bar diagram to represent the additional 5 years

Age in Five Years

The ratio Pedro's age and his brother's age in 5 years is 19 : 12

The bar diagram representing their ages in 5 years shows that the ratio 19 : 12 is not equivalent to 14 : 7 or 2 : 1. In 5 years , Pedro will not twice as old as his brother because 19 2 ( 12 ) . Because Pedro will

not always be twice as old as his brother and the ratio 14 : 7 or 2 : 1 is not maintained , the relationship is not proportional

#### Apply Construction

Christine is building a deck in her In order to place the posts. she will make concrete using a mixture. The mix requires I part water to 2 parts cement to 3 parts sand. The relationship between water, cement, and sand is proportional. If she has 25 pounds of cement and will use it all, how many gxunds of sand will she need One gallon of water weighs about 8.34 pounds. How many gallons of water will she need ? RcRJnd to the nearest tenth

**1 What is the task**

Make sure you understand exactly what question to answer or problem to solve. You may want to the problem three times Discuss these questions with a partner

First Time Describe the context of the gyoblem , in your own words

Second Time What mathematics do you see in the problem

Third Time What are you wondering

2 How can you approach the task ? What strategies can you 3 What is your solution use your strategy to solve the problem

4 How can you show your solution is reasonable

Write It ! Write an argument that can be used to defend your solution

#### Apply Movies

The first known motion picture was filmed in 1888 and lasted for only 2 .11 seconds. Today, we watch movies that last an average of about two hours. What is the of change in the times from 1888 to today ? Round your answer to the nearest whole percent if necessary

I **What is the task**

Make sure you understand exactly what question to answer or problem to solve. You may want to read the problem three times

Discuss these questions with a partner First Time Describe the context of the problem , in your own words. Second Time What mathematics do you see in the problem Third Time What are you wondering about

2 How can you approach the task ? What strategies can you

3 What is your solution use your strategy to solve the problem