Middle school track and field sports meeting schedule 1 1, date and place of competition
Time: 65438+1October 13- 14 Venue: School Track and Field.
Second, the competition events
Track events: 100 m 200 m 400 m 800 m 1500 m (female) 3000 m (male) 4× 100 m.
Field events: high jump, long jump and triple jump (men's) shot put
Interesting events: one-minute shooting competition, three-minute figure-eight skipping competition.
Two-legged running football fixed-point shooting
Third, the participating units
Group a: senior three classes; Group b: senior two classes; Group c: senior one class
Fourth, the registration method
1. The number of athletes in each class is limited to 18 (excluding interesting events), regardless of gender.
2. Each person is limited to 2 items (excluding relay), and each item is limited to 2 people.
3. 1500M project, girls in each class must apply for 2 people; For the 3000M project, boys in each class must apply for 2 people.
The triple jump is a men's event.
5. Fun activities will be held separately.
6. Each class will upload the registration form (one for men and one for women) and class introduction, named after the class, to the resource pool/sports group/43rd school sports meeting/folder in the form of word.
Verb (abbreviation of verb) competition method
1. Adopt the latest track and field rules.
2. If the number of sprinters in track events does not exceed 6 (100M does not exceed 8), they will directly participate in the finals.
3. Track middle and long distance running events (800M, 1500M, 3000M) will directly participate in the finals, and the ranking will be determined according to the results.
4. In the field events (except high jump), 8 finalists will participate in the finals and 6 will be selected.
5. For the100m, 200M, 400M and 4× 100M events, if the preliminaries are divided into two groups, the top two and the remaining two in each group will participate in the finals with the best results; If the preliminary round is divided into three groups, the first place in each group and the remaining three best results will participate in the final.
In the 6.4× 100M event, the preliminaries are divided into two groups, with the top two and the remaining two entering the finals with the best results.
7. Fun Competition Mode: See Fun Competition for details.
Sixth, the scoring method
1. Take the top six for each project and score according to 7, 5, 4, 3, 2, 1 For projects with no more than 6 people (or 6 people), the admission score will be reduced by one point; Double the score in relay race.
2. Take the top six interesting competitions according to the results and record them in the total score of the group.
3. Score 5 points for breaking grade records, 7 points for breaking school records, and 10 points for breaking district records, with the highest score included in the total score of each class. (There is no record of the fun competition)
4. For those who have completed the1500m and 3000m races, add 2 points.
VII. Incentives
1. Group: the top three in each group.
2. Take the top six and give appropriate rewards. Breaking the record above the school level (including the school level) will be rewarded separately.
3. Award a "moral fashion" award (group) every year.
8. Date of registration:
20xx expires on September 25th.
Rules of fun competition
(1) Jump the long rope around the word "∞" in 3 minutes.
1. Participation mode: each unit has 12 players (6 males and 6 females);
2. Competition method
(1) The referee announces the preparation for the competition, the athletes start to shake the rope, and the referee blows the whistle to start the timing;
(2) Players must follow the word "∞", otherwise the result will be invalid;
(3) After the start of the game, the players are not allowed to change positions, but must be carried out in turn, and the team order is arranged by themselves;
(4) Players must jump in turn, and each rope swing can only jump by one person, and each person can only jump once. Repetition does not accumulate, and the dead rope does not count;
(5) The dead rope keeps shaking, and the next player tries to jump again;
(6) A team member successfully jumps once, counting a successful attempt, and accumulating the times of the whole team in turn;
(7) The time is 3 minutes;
(8) Within the specified time, the team with more successful times wins. If the number of times is equal, the team with fewer failures (dead rope) wins. If it is equal again, it is 1 minute. If it is the same, draw lots.
3. Site and equipment
(1) Equipment: The rope length is 5m, provided by each team, and the distance between two rope rockers is not less than 3m.
(2) Site: 6m× 6m.
The organizing committee shall be responsible for the interpretation of these provisions.
(2) Individual 1 minute fixed-point shooting
1. Participation method: each team is limited to two men and two women;
2. Competition method
(1) Set the center of the lens as the projection point of the center of the iron ring, and draw an arc with the projection point as the center. High school boys draw an arc at 5 meters, and high school girls draw an arc at 4 meters. Each arc has five shooting points, two at about 0 degrees, two at about 45 degrees and one at 90 degrees.
(2) Put four balls at each shooting point. The first three balls are rubber balls, and each ball is scored 1 point. The fourth ball is a bull ball, and each ball is scored 2 points. Wrong order, 65438 +0 points each;
(3) Step on the line when shooting without scoring;
(4) The time taken for five shooting points is 1 min, and the last 5 seconds are counted;
(5) The person with the highest score ranks first. If the points are equal and tied, the ranking will be decided within the play-off 1 minute; if they are the same, the draw will be made;
(6) Match according to the order in the order book.
3. Site and equipment
(1) Equipment: provided by the General Assembly, and practice balls are provided by yourself;
(2) venue: half of the basketball court.
The organizing committee shall be responsible for the interpretation of these provisions.
(3) Two people and three feet
1. entry method: each team is limited to two groups of men and women;
2. Competition method:
The contestants stand side by side behind the starting line and tie their inner legs with ropes (tied to the ankles, the two joints are tight and cannot be separated). At the beginning of the game, the two men ran forward, returned after reaching the turning point, and ran to the finish line at the fastest speed, and the team that reached the finish line the fastest won. If the binding belt falls off in the middle, it is judged that the players in this group violate the rules and the scores of the players in this group are cancelled.
3. Site and equipment
(1) Equipment: each team should bring their own straps;
(2) Runway: 2m× 25m plastic runway or grass.
The organizing committee shall be responsible for the interpretation of these provisions.
(4) Football shooting
1. Participation method: each team is limited to two men and two women;
2. Competition method:
Athletes stand behind the football, and the football is placed at a designated point (8 meters for women) at a distance of 10 meters, and the game is played under the command of the referee; The shooting action must be completed continuously at one time. The ball gets 1 minute, and there are 10 shooting opportunities. It will be completed within 2 minutes, and the game will be stopped immediately when the time comes. Athletes rank first with the highest total score. If the scores are equal, those who spend less time rank first. If the score is equal to the time spent, and it is not the first place, the ranking is tied. If tied for the first place, play overtime, 1 minute, 5 shots.
3. Competition equipment:
Small goal (1.8m× 5m), No.4 football, wooden board (6m× 0.2m) and equipment provided by the conference.
4. Location:
On the grass or concrete floor of half a basketball court, the goal is 0.2 meters from the ground.
Middle school track and field meeting activity plan 2 According to the work plan, our school decided to hold the 22nd spring track and field meeting in mid-May. The specific activity plan is as follows:
I. Guiding ideology and objectives:
1, establish the guiding ideology of "health first", take "facing all students, developing sports and strengthening physical fitness" as the activity purpose, take student development as the center, stimulate students' interest, cultivate students' lifelong sports consciousness, create an education full of wisdom, build a new concept of school sports, carry out colorful sports activities in depth, activate campus cultural life, promote the construction of campus spiritual civilization, and cultivate students' comprehensive quality and team.
2. Objectives:
Mass sports activities: show the class spirit, school spirit, study style, teaching style and the results of physical education curriculum reform; Select and train sports talents, enrich the school team and prepare for the track and field games for middle school students in the district.
3. Sports slogan:
"I participate, I am healthy, I am happy."
Second, the Organizational Committee:
Publicity group, competition group, inspection group, venue equipment group, security group, logistics group, recording group and recording group. (Personnel arrangement will be arranged by the Sports Group)
Three. Activities and projects
The main events are: competition events (10 events) and fun sports events (3 events).
Competition events-single event:
(1) Sprint: (1)100m (2) 200m (3) 400m (Note: both men and women sprint at a standing start. )
(2) Middle and long distance running: (1) 800m (2)1500m (note: women's 800m, men's1500m). )
(3) Jumping category: (1) High jump (2) Long jump (Note: both men and women use jumping action in high jump; Long jump adopts run-up long jump. )
(4) Throwing category: throwing solid balls (Note: Men and women throw solid balls forward with their hands at the same position, and run-up throwing is not allowed. )
(5) Traditional events: double skipping, crossing one's legs and kicking shuttlecock. (Note: The duet and shuttlecock kicking competition lasts for two minutes. )
Competition team:
(6) Relay running: 4×100m relay and 4× 400m relay. (Note: There are two men and two women in the mixed relay. The first two bars in each group are female athletes, and the last two bars are male athletes. )
Note: Individual events are limited to 2 people, and each athlete can report 2 events (except team events). The students marked their date of birth on the registration form.
Interesting sports events
(1) Tug of War
Each class reported that 15 students (male 10, female 5) participated in the competition. The head teacher concentrated on randomly drawing lots to select the corresponding class opponents, and used them to compete in the physical education class. The best of three sets was adopted in the competition, and the top four students in the grade were finally decided to participate in the final of the sports meeting. The final was randomly drawn, and the first, second and third place were decided by a knockout. The time of each game is one minute and thirty seconds. If you can't tell the winner within the game time, it's a draw. If there is no winner twice, the organizing Committee will draw lots to decide. The competition is divided into grade groups for drawing lots and elimination.
(2) 25m kangaroo jump
Put your legs in the bag, hold the top of the bag with your hands and stand behind the pullover. After listening to the signal, the feet of the portable bag jumped forward. If you fall down on the way, you should stand up where you fell and continue the game. Touch or jump the finish line with your feet to reach the finish line. The competition adopts face-to-face relay, with 3 men and 3 women in each class and 3 people standing in groups. At the beginning of the game, after a person arrives at the opposite side, he quickly gives the bag to his oncoming companion to help him prepare, so that the game can continue to the end. The distance of the race is 25 meters, and the result is measured by time.
Teachers' sports meeting: 4x 100 relay.
The grouping is as follows: senior one Chinese group, senior one math group, senior one English group, senior two Chinese group, senior two math group, senior two English group, and other subjects in senior one and senior two are merged into one group. (Note: Please select a team leader from each group and register with the grade director. )
Attention: participating teachers should actively exercise and create a good campus exercise atmosphere. The number of relay race teachers is not limited to men and women. The top three in the competition will be awarded certificates and prizes. Contestants will receive corresponding prizes.
Four. Activity time and requirements
1. Activity time: May 22nd-May 27th.
2. Activity requirements: Every student should fully strengthen the practice in physical education class, choose their own sports, actively participate in activities, practice seriously, and strive for good results.
3. The deadline for registration is May 10.
Verb (abbreviation for verb) rules of the game
1, the staff must arrive at their posts on time and work conscientiously, fairly and accurately. The judges of each group must strictly abide by the agenda of the conference and shall not change or advance the competition at will. Field events must be carried out as required.
2. The audience must strictly abide by the discipline of the conference, watch the game in an orderly manner, and must not enter the venue at will, and keep the venue quiet. They must not make any noise, boo, play or litter.
3. Athletes must abide by the competition discipline, participate in the competition according to the style and level of the competition, and are not allowed to replace or move. Offenders will immediately cancel the competition results once verified, and will be deducted twice from the class group points and informed criticism.
4. In the competition, if you have any questions or opinions about the referee, they should be solved through the organizing committee, and no one can interfere with the smooth progress of the competition.
This year, all the school projects will keep data, and this year's achievements will become the first school record of "Sunshine Sports Festival".
Six, input method:
1, taking classes as units, forming 22 teams in Grade One and Grade Two.
2. Number of participants: Only two people can be submitted for individual events, and each athlete can submit two events (except team events).
3. The head teacher of each class is the team leader, responsible for the whole process of registration, student safety, venue order and competition. The PE teacher is in charge of training.
4. Students' union members actively participate in the order of the meeting place and the health assessment of each class, and the total score of 5 points will be deducted for the classes that fail to pass the health examination.
5. After the registration deadline, the reported items shall not be changed. In order to encourage participation, students in this class can take part in the competition.
VII. Incentives
1. Competition: The top eight players will be graded with scores of 9, 7, 6, 5, 4, 3, 2, 1, and the top three players will be awarded certificates and prizes. (Note: If the number of people is less than 8, the score will be calculated from high to low. )
2. Team competition and fun competition: The results of team competition and fun competition are calculated by twice the results of the competition, and the top three players will receive certificates and prizes.
3. The total score of the group is ranked according to the sum of individual scores of men and women and scores of groups and interesting projects, with the top eight in each grade and the highest score in the front. If the points are equal, it depends on getting the scores of groups and interesting projects.
4. The school will issue certificates and prizes to the top eight in all individual events.
Middle school students' track and field sports meeting schedule 3 I. Date and place of the competition:
20xx March 29th, school track and field (team events will be held during the fourth, fifth and sixth weeks).
Second, the organizer:
Sponsored by the sports group, assisted by the Political and Educational Affairs Office, the General Affairs Office and the Academic Affairs Office.
Third, participants:
All classes in the school.
Fourth, the competition group:
First grade, second grade, third grade.
Verb (abbreviation for verb) competition:
In order to implement the requirements of the "student sports competition reform" experiment of the Ministry of Education, combined with the setting of the competition events in the 20xx industrial development zone along the Yangtze River, the contents of the spring sports meeting of our school are divided into two parts:
Part I: Team sports.
Team events: Group I, Group II and Group III.
2-minute long rope jump
Each class 15 students, including 2 rope-rocking students and no less than 4 boys or girls. Encourage the class teacher to participate.
Throw a solid ball in place
pull-up
Part II: Track and Field Events
Number of participants in the first, second and third groups of team events
100 m
Track events are limited to 2 people per class, field events 1 person, and each person is limited to two events (relay is not limited).
400 meters
800 (female)1000m (male)
4× 250m relay
high jump
long jump
Six, athlete qualification:
1, the team members must be students with good ideological and moral character, good health and in line with the regulations on student status management.
2. Athletes who do not obey the arrangement of the school and actively participate in competitions at or above the district level of 20xx are not eligible for the competition.
3. Players must sign up, the class teacher should strictly examine the qualifications of athletes, and the registration form should be signed by the class teacher.
4. Anyone who is found to have fraud, impersonation and other violations of the rules of the competition will be disqualified, ranked and scored (including the ranked and scored after the competition) according to the seriousness of the case after investigation.
Seven. Competition method
1, long-distance running and track and field events in team competitions adopt the latest national track and field competition rules. Supplementary rules for other projects are as follows:
(1), all students are not allowed to wear spikes.
(2) You must wear numbered cloth to participate in track and field events (please refer to the order book for the number of athletes in each class).
Eight, ranking admission, scoring and reward
1, 20 points for admission (6 first prizes), 15 points (10 second prizes), 12 points (the rest are third prizes), and 20 points for classes convened by the school. The admission team is unified into four vertical, four horizontal and six rows, and students with one-stop class cards are set in the first two meters of the class team.
2, 2 minutes to jump the long rope, each group takes the top 6, with 2 1, 15, 12, 9, 6, 3 included in the total score of each team.
All participating teams will be counted into the total team score with 5 points.
3. For the solid ball, pull-ups and relay events, the top 6 players in each group are selected, and 14, 10, 8, 6, 4 and 2 are included in the team scores of each team, in which the sum of the scores of three players in the solid ball and pull-ups is taken as the final team score.
4. Track and field events rank in the top 6 in each category, with scores of 7, 5, 4, 3, 2,1; The relay race was scored twice, breaking the district record by 9 points and the school record by 5 points, and individual award certificates and bonuses were awarded.
5. Each class is divided into admission, team sports (each group's achievements) and track and field events (each group's achievements), and the top six students in each grade will be awarded group awards. In the case of the same total score, the ranking of the group is determined by the number of first and second places.
Nine. Registration date and requirements:
1. The class teacher should sign the registration form before March 8 (Friday) after each class has examined the qualifications of athletes in strict accordance with these regulations.
2. At the time of registration, each class should upload a class profile at the same time, which should not exceed 100 words.
3.2-minute long rope jump is a compulsory item for all classes, and there is no need to fill in the list on the registration form. Athletes' names are not required for 4× 250m relay events, but for solid balls and pull-ups.
Procedures of middle school track and field sports meeting 4. Time: 20xx September 29-30.
2. Location: School Stadium
3. Participating units: various departments and offices at all levels.
4. Competition groups: staff men's group A, staff women's group A, staff men's group B, staff women's group B, junior one men's group A, junior two men's group A, junior two women's group A, junior three men's group A and junior three women's group A..
5. Registration method: The teaching staff will register in the offices of departments at all levels, and the number of applicants is not limited. Each student group takes the class as the unit to register, 6 men and 6 women, and each student applies for two events (except relay). All units should fill in the registration form clearly before September 22, and submit it to the sports group after being signed by the class teacher.
Qualifications of athletes: Athletes must be healthy and fit for strenuous exercise.
Seven. event
Staff group: 60m 100m high jump, long jump, shot put, standing long jump and softball throwing.
1 minute skipping rope 1 minute kicking shuttlecock 60m dribbling 4x 100 relay.
Student group: 100 m 200 m 400 m 800 m 1500 m 4x 100 m relay high jump triple jump shot put the softball far.
Eight, competition rules
1. The competition adopted the latest rules of track and field competition published by IAAF.
2. If there is cheating during the competition, after verification, all the competition results of the replaced and replaced athletes will be cancelled.
3. Faculty A (born before1974 65438+February 3 1) and faculty B (born after1974 65438+February 3/).
Nine, scoring and reward
1. The top 8 students in each event (including 4x 100 relay) will be scored according to 10, 8, 6, 5, 4, 3, 2, 1; Add 10 for each record breaking; Break the Z city record and add 20 points each time. The total score of the group is male and female, and the top eight are awarded prizes at all levels.
2. The faculty group won the top 6 respectively, 1-2 first prizes, 3-4 second prizes and 5 third prizes).
3. The General Assembly will establish the Spiritual Civilization Award.
X. Matters not covered will be notified separately.
Procedures for middle school students' track and field games 5 I. Competition date:
20xx65438+1October 23rd-25th.
2. Location:
School track and field sports
Three. Event:
1. senior one and senior two 100m, 200m, 400m, 800m, 1500m, 3000m (male), 4xkloc-0/00m relay, solid ball (throwing forward with both hands), high jump.
2. Senior three: 100m, 200m, 800m, 1500m, solid ball (throwing forward with both hands), high jump, long jump.
Four. Participation mode:
All students studying in our school who have improved their thinking and are in good health can sign up.
1. Project limitation: each person is limited to three projects (except relay), and each project is limited to three people.
2. Number of students: class limit 10 for boys and girls.
3. Each team takes the class as the unit, with the class teacher as the leader and the sports class committee as the coach.
4. All participants should first select their individual entries to the class sports committee, which will study them and send them to the sports group for arrangement after the head teacher agrees. Once arranged, no one is allowed to change or give up at will. If violations are found (except for seriously ill patients), the total score of the class group to which the student belongs will be deducted 1.
May, 65438+1October, 65438+March, each class shall fill in the registration form in duplicate as required and send it to the sports group.
Verb (abbreviation of verb) competition method:
1, with the top eight for each event (including relay). Score according to 9, 7, 6, 5, 4, 3, 2 and 1 If the scores are equal, the ranking will be equally divided, but there is no corresponding ranking below (if two people are tied for second place, there is no third place below), and the record breaker will be added with 9 points.
2, grade group ranking, calculated according to the single ranking of men and women in this class. The one with more total scores ranks first.
3. Adopt the latest rules of track and field competition approved by the State Sports Commission.
4. Any event of track separation, such as100m, 200m, 400m and 4×100m relay, will result in the cancellation of track athletes' scores and rankings.
Incentives for intransitive verbs:
1, the total score of each group is the top six. Take the top eight in each item and give rewards.
The person who breaks the record will be rewarded for breaking the record.
3. Three spiritual civilization teams were selected for each grade.
Middle school track and field meeting activity plan 6 In order to fully implement the party's educational policy and promote the school sports work to be carried out more extensively and deeply; Promote the whole society to pay more attention to the healthy growth of teenagers, encourage the majority of middle school students to actively participate in physical exercise, form a good habit of conscious exercise, make them develop healthily and harmoniously, and become qualified talents with all-round development in morality, intelligence, physique and beauty. It has promoted the development of extracurricular sports activities and extracurricular sports training for middle school students, especially extracurricular sports training and competitions, and played an important role in invigorating the extracurricular cultural life of young students. In order to train and transport a large number of outstanding sports talents to the country, the school decided to hold the 20xx Winter Comprehensive Interest Games.
I. Purpose of the event
1, develop sports and enhance people's physique
2. Promote the further popularization of mass physical exercise.
3. Improve the quality of teaching and training.
4, is conducive to the construction of socialist spiritual civilization.
5. Review the mental outlook of students of all grades and classes in the whole school, and show good school spirit and class spirit.
Second, the time and place of the competition
Competition time: 20xx 165438+ 10/2.
Venue: Taoyuan Middle School
Third, the participating units
Teams of all grades are divided into a group of boys and girls.
Fourth, the open mode:
1, athletes enter the stadium
2. The headmaster made an opening speech.
3. Oath of the Chief Justice
4. Athletes take the oath
Verb (abbreviation of verb) competition item setting
1, single event: 50m, 200m, 800m, 1500m, long jump, bunker jump, solid ball, rope skipping, pull-ups (for boys), sit-ups (for girls) and high jump.
2. Comprehensive events: 4× 100m, table tennis buffer, dribbling shooting relay, fixed-point shooting, double rope skipping, tug-of-war, 6×50 m.
Six, the introduction method
1, graded, with classes as the unit, and men and women compete in groups (except comprehensive events).
2, each class is limited to 3-4 people, each item shall not be less than 3 people, each person is limited to 3 items, except for comprehensive projects.
3. The number of participants in the comprehensive event competition shall be the class with the least number of participants (the number of men and women in each team must be equal).
Seven. Activity security mechanism and camera shooting
1. Health and cleaning group: the head teacher and students are responsible for each area.
2. Medical Mutual Aid Group: Huang Jiahai 3. Public Security Patrol Team: Leader: Wang Yao.
Members: 4 class teachers in each class. Camera: Liang Shubo
Eight. Registration time and requirements
Registration time:1October 25th 20xx 10 to1October 27th 20xx 10.
Registration requirements: the registration form for each class is in duplicate, one for men and women, one for physical education teachers, and one for themselves (carefully check the items filled in); There is no limit to the total number of participants in each class, and each class is limited to 3 people. Once the application form is submitted, it cannot be changed.
Nine, the rules of the game
The latest rules promulgated by the State Sports Commission shall prevail.
Ten, the relevant provisions of the competition
1. Athletes participating in track events must call the roll at the record office before the competition and run according to the roll call. Those who have not been named twice will abstain.
2. Obey the requirements of the General Assembly and the referee. If there are any comments, the class teacher will reflect them to the relevant referees. Individuals or classes that make trouble will be disqualified according to the circumstances.
3. Do not resort to deceit; Any impostor will be disqualified. And deduct points in the total score of the group, one person will be deducted 0. Five points.
XI。 Competition schedule
1Wednesday, October 2nd 1 1- Thursday 1 1.
Twelve. Reward and scoring methods
Take the top 3 for each item; Players of all grades can add 5 points to the total class score if they win the first place, 3 points to the total class score for the second place and 1 point to the total class score for the third place. For the class that won the first place in each grade of the comprehensive project, the total score of the class will be increased by 5 points.
Thirteen, the referee group personnel arrangement is as follows
Referee: Referee: Korea Communication Group: Xu Launcher: Tax Circuit Audio Equipment Group: Track Referee: Venue Referee: Other Referees:
Venue Equipment Preparation: Jiang Hua Writing Template
Referee: Xu Jianghua.
Fourteen equipment
(2 packs of dry powder, 1 tape measure, 4 stopwatches, 10 rope, 6 tie flags, 2 solid balls, 2 sponge mats, a set of high jump equipment, 4 baton, 1 tug-of-war rope, several mineral water bottles, 6 cartons, 2 basketballs, 4 pairs of table tennis, class.
The activity plan of the 7th Middle School Track and Field Games aims to further enrich students' after-school life, let them feel the happiness brought by sports in their busy study, cultivate students' sense of collective honor of unity and cooperation, learn to take responsibility in sports, and cultivate excellent quality of hard work. Our school has decided to hold the xxxx Winter Term Sports Meeting. The details of the competition are hereby notified as follows:
1. Competition time:
Xx year 65438+February 65438+June (rain period postponed)
Second, the venue:
Xie Chang middle school track and field playground
Third, the competition object:
Students in grades six to nine
Four. Competition items and registration methods:
Individual events: 100m, 400m (level 6), 800m, 1000m, high jump, long jump, triple jump (levels 6 and 7 do not participate in the triple jump), shot put, (only three people are allowed in each event, and each person is limited to three events).
Team competition: 60m× 15 face-to-face relay (each class selects men and women 15).
Fixed-point shooting (3 boys and 3 girls in each class, divided into male and female groups. Count the total number of shots, one vote; They are 0 degrees, 45 degrees and 90 degrees respectively, and each point is cast twice, totaling 10 times. )