5.6. Para - algjebraPre-Algebra is NOT a category in the California Math Standards.
However, there seems to be a gap between the requirements of 7th grade mathematics and the requirements of Algebra I. It represents a significant step forward in combining the K-7 strands of Algebra &Functions with Mathematical Reasoning. This may make Algebra I somewhat overloaded for many students.
1.0* Students understand and use such operations as taking the opposite, finding the reciprocal.
1.1 They understand that 
is not the same as 
when calculating function values.
1.2 They can simplify "uneven fractions" and that care must be taken when writing these fractions, i.e. that : 
is not the same as 
.
2.0 Students move between radical expressions and rational exponents to simplify numeric values, e.g. can solve 
.
3.0 Students solve equations involving absolute values 
. Students understand the graph of y=|x|.
4.0 Students simplify expressions with variables over the rationals.
5.0 Students solve multistep problems over the integers, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step.
6.0 Students graph points and lines in a variety of scales and windows and understand the value of "thinking before graphing".
6.1 Students use a variety of graphs (centered graph, positive graphs, broken graphs) to graph points and lines.
6.2 Students use and understand how different scales on the x and y axis can visually affect the slope.
6.3* Student solve real problems involving graphing where the scales and window are important, e.g. Chris...
7.0 Given an equation of a line: Students graph the line using a variety of techniques and verify that a given point lies (or does not lie) on a line both algebraically and graphically.
8.0*
9.0* Given an equation of a line: Students find the y-value when given an x-value and vice-versa - both algebraically and graphically. They understand that the value of x given y=a is the x-value at the intersection of the horizontal line y=a with the graph of the line. They can solve problems such as "If the cost function is ...., how many...
From Mathematical Reasoning
10. Given a graph of y=f(x) of a real situation, can interpret the values on the graph with the framework of the problem
11. Students understands the relative positions of the graphs of: (y=x, y=-x), (y=x, y=x+2, y=x-2), (y=n2, y=-n2), (y=n2, y=n2+2, y=n2-2).
