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What are the ideas in the first book of sixth grade mathematics? ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !
Unit 1 Fractional Multiplication

Infiltrate the idea of combining numbers and shapes, inductive thinking, deductive thinking, model thinking, comparative thinking and reductive thinking.

For example, the meaning of fractional multiplication is permeated with the idea of combining numbers with shapes: fractional multiplication is represented by graphs; Switch thinking to switch thinking: first, express the fraction in the form of addition, and then convert it into multiplication formula to simplify the complicated formula; Comparative thinking and inductive thinking: compare the significance of fractional multiplication and integer multiplication, and summarize the calculation rules of fractional multiplication and integer multiplication.

Unit 2 Fractional Division

Infiltrate the combination of numbers and shapes, induction, deduction, transfer analogy, comparison, transformation, system and function.

Unit 3 Fractional Elementary Arithmetic and Application Problems

Infiltrate the combination of numbers and shapes, systematic thinking, inductive thinking, deductive thinking, comparative thinking, optimization thinking, functional thinking and so on.

For example, when teaching engineering problems, the idea of combining numbers with shapes 1 is infiltrated: draw line segments to understand the meaning of the questions; 2 optimization thought 3 comparison thought: two different methods; 4 system thought: total workload ÷ work efficiency = working hours; 5 deductive thinking: when solving problems with the first method, start with the problem.

Unit 4 circle

Infiltration reduction thought, limit thought, induction thought, system thought, transformation thought, classification thought, etc.

For example, when you know a circle, you can feel that there are countless diameters and radii in the same circle, which is permeated with the idea of limit; When exploring the circumference of a circle, infiltration is simplified as an idea: turning a curve into a straight line; Changing ideas: When teaching the area of a circle, divide the circle into several approximate isosceles triangles, put them together to form an approximate rectangle, transform the circle into a rectangle, and calculate its area.

Unit 5 Percentage

Infiltration transformation thinking, comparative thinking, inductive thinking, combination of number and shape thinking, analogy thinking, etc.

Unit 6 General Review

Infiltrate inductive thinking, classified thinking, comparative thinking, systematic thinking, etc.

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