Knowledge points of "understanding graphics" in senior one mathematics
A, graphics can be divided into (1) plane graphics; (2) Three-dimensional graphics
1. Plane graphics: square, rectangle, triangle, circle, parallelogram.
2, three-dimensional graphics: cuboid, cube, cylinder, sphere.
Second, the combination of graphics.
1, two identical triangles can be combined into a parallelogram; Two identical triangles can be combined into a parallelogram, a rectangle or a large triangle.
2. It takes at least 4 small cubes to form a big cube, and at least 8 small cubes to form a big cube.
3. Two rectangles can form a big rectangle. (Two special rectangles can form a big square), and four cuboids can form a big cuboid.
learning process
1. Teachers lead students to recall the characteristics of three-dimensional graphics.
2. Play the micro video to the students.
(Courseware shows cuboid, cube, cylinder, sphere and triangular prism, and plays the process of "unfolding" plane graphics from three-dimensional graphics)
3. Organize students to draw, draw, print and unfold plane graphics in the exercise book by using learning tools with different shapes prepared before class. Students who draw well and quickly can share his works with Mr. Mai.
4. Know rectangle, square, circle and triangle.
5. Know the parallelogram (guide students to observe the parallelogram composed of two identical triangles)
Teacher: Can you fold a square, rectangle or parallelogram paper into the same two parts? How many folding methods are there? Who wants to tell us how they are folded? What graphics are folded out? Please do it yourself. Students who are prepared can even join Mr. Mai.
6, finishing
(1) courseware presents multiple graphics. Ask the students to tell their parents what each number is.
(2) Say: How do you remember what each figure looks like?
Knowledge points of mathematics in the first grade of primary school
Synthesis and decomposition of 10 nursery rhymes
You shoot one, I shoot one, we love learning since childhood. 1+9= 10, 10 can be divided into 9 and 1.
You shoot two, I shoot two, common friends and hobbies. 2+8= 10, 10 can be divided into 8 and 2.
You shoot three, I shoot three, and form a good habit of talking about hygiene. 3+7= 10, and 10 can be divided into 7 and 3.
You shoot four, I shoot four, and I'm on duty after school. 4+6= 10, and 10 can be divided into 6 and 4.
You clap five, I clap five, raise your hand when you ask and answer questions. 5+5= 10, 10 can be divided into 5 and 5.
You shoot six, I shoot six, and strive for the upper reaches. 6+4= 10, and 10 can be divided into 4 and 6.
You shoot seven, I shoot seven, and build an advanced class group. 7+3= 10, 10 can be divided into 3 and 7.
You clap eight, I clap eight, and everyone praises all-round development. 2+8= 10, 10 can be divided into 2 and 8.
You shoot nine, I shoot nine, and it's not sloppy to check again and again. 9+ 1= 10, 10 can be divided into 9 and 1.
You shoot ten, I shoot ten, and do things honestly. 10+0= 10, which can be divided into 0 and 10.
Mathematics learning methods and skills
(A) let students gain common sense of mathematics through their own research.
For example, when teaching "the beginning of three-dimensional graphics", prepare various shapes for students before class, so that students can rely on the experience of shape perception to inquire and communicate what the shape of objects is, and put objects with the same shape together. Then talk about "what are the similarities between these items" and understand the characteristics of the shape of the items ... Students make an in-depth investigation according to the accumulation experience in daily life and their feelings about the actual situation, further summarize the rational experience and open up the concept of space.
(B) Let students gain common sense of mathematics through hands-on operation.
The thinking of first-year students is inseparable from images and movements, and hands-on operation is an important way and method for students to learn mathematics. For example, when teaching "9 plus several", on the basis of students' communication with different algorithms, students are required to introduce their ideas to students by the operation of "putting 1 box making 10", so that students can intuitively understand the process of making 10. Then, arrange activities such as "pendulum, calculation", "circle, calculation" and do accounting while practicing operations. The detailed and vivid operation process corresponds to the general bookkeeping process one by one. Explicit actions drive connotative ideological activities, and students feel and understand new accounting methods in the process of operation.
(c) Let students acquire common mathematics knowledge through cooperation and communication.
For example, when math is "9 plus a few", after putting forward math problems in the detailed situation of "campus sports meeting", give the "task" of solving problems to each group to complete. Let the students think independently first, and discuss ways to communicate and solve problems in groups. Every student thinks in his own way according to his own life experience, and there will be many accounting methods such as "counting one number", "next number" and "complement 10". Then, please introduce each group to the class to show its research role. Let students know the different methods found by others and themselves, so as to understand that there are different ways to deal with the same problem. Together, in the communication, students appreciate their own discoveries, the role of the group, the various methods discovered by the whole class, and constantly experience the joy of success. It is helpful to cultivate students' basic knowledge and love and enhance their knowledge of cooperative learning.
New North Normal University Edition, Grade One Mathematics, Book Two, Articles on Knowledge Points;
★ Beijing Normal University Edition Senior One Mathematics Knowledge Points
★ Beijing Normal University Edition Senior One Mathematics Volume II Addition and subtraction and summary of interesting graphic knowledge points
★ Encyclopedia of Mathematics Learning Methods in Different Grades
★ Beijing Normal University Edition Primary School Grade One Volume II Mathematics Teaching Objectives (Teachers' View)
★ Beijing Normal University Edition Senior One Mathematics Volume II Final Examination Paper
★ Encyclopedia of Mathematics Learning Methods in Different Grades
★ Mathematics examination questions and answers in the second volume of Grade One of Beijing Normal University
★ Beijing Normal University Edition Senior One Mathematics Volume II Final Application Problem Training
★ Beijing Normal University Edition Primary School Grade One Volume II Mathematics Final Examination Paper
★ Guidance of mathematics learning methods in the first grade of primary school