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Course: Free Lessons
Linear Equations: Slope-Intercept Form

  • 8-12 grade
  • Beginner

Lesson Description:

NAO player is in the soccer practice session. Students need to figure out NAO's position and the angle to pass the ball successfully to his team member without being blocked by an opponent.

image description

Lesson Modules


Teaching Tips:

Show the picture to the students and have them observe the game situation thoroughly. 

Questions you can ask:

  • Who are the same team players?
  • Who are the opponents?
  • How to and where to pass the ball?

Share the poll results to the class and lead the discussion around the common words. Focus on the limited position of the player and the positions of the other players as well as which direction to pass the ball. The goal of this lesson is

  1. to use the slope-intercept form as defining a linear function
  2. to graph linear functions 

Look at the picture below. What situation is it in the soccer game? Observe the dynamics of the moment in the game and answer the question.





What information do you need for the player to pass the ball successfully to his team player without being blocked by the opponents? Type your answer in only ONE word.



Teaching Tips:

There are more than one answer to this challenge. Mark who is working on what strategies while the students are working on this module. 
Some considerations students can have are:

  • the opponents' position and if the opponent(s) is too close to the passing line, it can be blocked. 
  • the potential action after the ball passed successfully. Which of Nao's team member has a better position to conduct an action to lead a goal? 

Have students present their strategy to the class and explainn why. Make sure you make a connection between strategies. Focus on the cons & pros of each strategy. 

NAO is a soccer player and is currently at a team practice. The coach gave the direction as follows:

  • Nao can only move along the vertical line for the practice
  • Nao needs to carefully choose one of the team members to pass the ball successfully.
  • There are opponents on the field to block the pass as well. 


You need to help NAO. In order to help you have to...

1) consider the opponent's position

2) see how close the opponents positions are to the trajectory of the ball

Things to consider:

  • the opponents can also move around while NAO passes the ball and can block the pass
  • if the other team player can score the goal after you pass the ball.

Soccer requires team-work. The players should help each other to score the goals as a team. 

Use the interactive tool. Click on the box next to "Starting Position" and see what's appearing and continue to the next step.





Imagine where NAO should stand along the y-axis and how much she should turn to kick the ball.



Estimate the y-intercept.
 



Estimate the slope.
 



Write an equation of the line in slope-intercept form. Do not include a space in your answer.
 



Teaching Tips:

Use the activity materials for this module. You need to print out the soccer field (pdf or jpg) and connect each paper to create one soccer field. Place the paper field on a flat surface (on the floor or on a big table). Note that you want to avoid any bumps on the surface since it affects the robot's movement. 

Use a small ball for a replacement of the soccer ball in the scale. A tennis ball is recommended. 

Divide the class into groups. One group represents one player on the field. A group of 2 or 3 are recommended.

Decide which groups are NAO's team and which are opponents. You can switch the role as well.


The group creates a half-cup shape figure. You can use a paper/plastic cup. Students can decorate the cup as a soccer player or as they wish. 

The students place the cup on the field. If they are the same team players of Nao, they pace the cup facing NAO otherwise, make the cup face opposite side to block Nao's passing attempt.

 

Place NAO at (-50, 0), facing up (facing the origin). Open this Choregraphe file to run NAO robot.

 

Facilitate a game environment for the class to have FUN!

Use the activity materials for this module. You need to print out the soccer field (pdf or jpg) and connect each paper to create one soccer field. Place the paper field on a flat surface (on the floor or on a big table). Note that you want to avoid any bumps on the surface since it affects the robot's movement. 

Use a small ball for a replacement of the soccer ball in the scale. A tennis ball is recommended. 

Create a half-cup shape figure. You can use a paper/plastic cup. Each cup represents a player. To separate NAO's team and the opponents, you can decorate the cup with a different color.

Place the cup on the field. If they are the same team players of Nao, they pace the cup facing NAO otherwise, make the cup face opposite side to block Nao's passing attempt.

 

Place NAO at (-50, 0), facing up (facing the origin point). Open this Choregraphe file to run NAO robot.

 

Have FUN!

 

 


Teaching Tips:

Give the class quiet time and have students answer the questions individually. 


If time is allowed, have a quick discussion with the class about what went well and what could have done differently. Share the results with the class. You have access to other answers in the dashboard.

You've helped NAO to pass the ball with the slope-intercept form. You used the following concepts/skills in this lesson.


Your inputs will NOT be graded. Be honest so your teacher can have a better understanding of the learning outcomes. 


I understand the concept of y-intercept
  • Not at all
  • Not really
  • Kind of understood
  • Pretty much understood
  • Totally got it

Look at the picture below and explain where is the y-intercept of the line?



Where do you see the y-intercept in the equation?

How does y-intercept location on the field connect to the equation?



I understand the concept of Slope-intercept form
  • Not at all
  • Not really
  • Kind of understood
  • Pretty much understood
  • Totally got it

If a line has a slope of 4 and the y-intercept of (0,-3), what is the equation of the line?


Use this tool as needed. 

To create a point on the y-axis, click on the point icon and click on the grid-in plane. You can move the point to adjust the position. 

To create a line, you need another point. Use the slope to find the other point. Then click on the line icon then click on the two points to connect.