The fields of "1" and "number and algebra" are mainly the most basic numbers, formulas, equations (and inequalities) and functions.
(1) Under the premise of taking into account the vertical logical structure of knowledge, focus on key points and streamline and integrate appropriately.
⑵ Presenting important concepts and ideas in a spiral way to deepen our understanding of them, such as making equations and functions appear alternately, that is, spiraling up in the order of linear equation "group", linear function, quadratic equation and quadratic function.
⑶ Connecting with practice, reflecting the formation and application process of knowledge, and highlighting the idea of establishing mathematical models.
2. The content of "space and graphics" includes "graphics understanding", "graphics and transformation", "graphics and coordinates" and "graphics and reasoning".
(1) Strengthen the infiltration of the idea of combining numbers and shapes, and reflect the horizontal connection between various parts of knowledge.
⑵ Cultivate reasoning ability step by step, and make a good transition from experimental geometry to demonstration geometry. The cultivation of reasoning ability should be arranged step by step according to different levels such as "say something", "reason", "simple reasoning" and "symbolic reasoning".
⑶ From perceptual to rational, from static to dynamic, improve the cognitive ability of graphics.
3. The content of "Statistics and Probability".
(1) focus on the basic ideas contained in statistics and probability.
(2) Pay attention to actual cases.
(3) Pay attention to the connection with the previous paragraphs and continue to develop and improve.
4. The content of "practice and comprehensive application" is closely related to the first three fields, with strong comprehensiveness.
"Practice and comprehensive application" is not an independent piece of content, but is combined with the closest knowledge content, arranged in various chapters in various forms such as "subject learning" and "mathematical activities", so that practice and application can be carried out in various forms, broken into parts, regularized and lived.