轨迹标题

起始代数

信用

4

渐变模式

标准字母等级

总联系时数

40码

讲课时

40码

推荐准备

TH015或更高或最小定位数学7级

课程描述

引入代数、整数、理性和实数、代数表达式、一二变量线性方程和以建模应用为重点的图形表示式

课程学习结果

开工多步计算需要运算实数
二叉简化代数表达式
3级代数解决一或二变量线性方程
4级翻译语句、数字、代数和图形表达式之间的关系
5级模型解决现实世界和理论数学问题需要解决一二变量线性方程
6级函数符号对上下文作出估计和预测

内容轮廓

运算表达式 学生执行多步计算 需要顺序运算实数o Perform simple sign number and fraction computations without a calculator o Evaluate expressions for given values o Simplify expressions containing absolute value, exponents, fractions, and signed numbers o Know that division by zero is undefined o Find the prime factorization of a number o Know the meaning of equivalent expressions and be able to express fractions in simplified form Simplifying Expressions and Solving Equations • Students will simplify algebraic expressions o Use the commutative, associative, and distributive properties to simplify algebraic expressions o Simplify algebraic expressions containing exponents, fractions, and signed numbers o Translate narrative expressions to and from mathematical expressions • Students will algebraically solve linear equations of one or two variables o Use the commutative, associative, and distributive properties to solve linear equations o Solve linear equations containing fractions and signed numbers o Translate narrative expressions to and from mathematical equations o Solve multivariable linear equations in terms of a specific variables o Distinguish between simplifying expressions and solving equations o Solve a system of two equations algebraically Graphical Representations • Students will translate relationships between narrative, numeric, algebraic, and graphical representations (specifically lines) o Create scattergrams from data sets or ordered pairs o Know the meaning of, and how to calculate, the slope of a nonvertical line o Know that the slope of a horizontal line is zero and the slope of a vertical line is undefined o Recognize slope as a rate of change o Know the meaning of x, y, m, and b in an equation written in y=mx+b form.o Graph a linear equation written in y=mx+b form o Graph a linear equation written in standard form o Graph a linear equation by finding the intercepts o Find an equation of a line from its graph o Find an equation of a line by using the slope and a point o Find an equation of a line by using two points o Use the slope formula to generate the point-slope form of a linear equation o Know the relationship between slopes of parallel lines o Know the relationship between slopes of perpendicular lines o Use the terms independent variable and dependent variable as they relate to applications represented graphically o Solve systems of two equations with two unknowns graphically o Know the three types of linear systems of two equations Modeling, Applications, and Functions • Students will model and solve real-world, and theoretical mathematical problems requiring solving linear equations in one and two variables o Know the meanings of independent variable, dependent variable o Relate word problems to their graphical representations o Create a scattergram and determine whether the data appears linear o Find and interpret the slope and intercepts of a line and of a linear model o Find an equation of a linear model and make predictions • Students will use function notation to make estimates and predictions in context.o 使用函数表示查找函数O使用函数用线性模型表示

所需材料

学生需持有网络软件许可证,该软件将包括电子文本论文拷贝教科书任选