Algebra II
Standard
|
| Skills (Note:
none listed for science standards)
|
Teacher
Strategy
|
Student
Tasks or Scientific Investigation/Experimentation
|
Assessment
or Scientific Application/Assessment
|
Resources
and Technology
|
|
The CaliforniaMathematics Content Standards -Grade8 9 10 11 12
Algebra II
Standard
2. Students solve systems of linear
equations and inequalities (in two or
three variables) simultaneously, by
substitution, graphically, or with
matrices.
Skills (Note: none listed for science standards)
Teacher Strategy
Use a large area such as a cafeteria to mark off the coordinate plane,using masking tape.You might also want to mark off from x =–6 to 6 and y =–6 to 6 on this plane.Have five students at a time go to different points on x –y plane.Five students at a time who state their coordinates can take their places.This way all students are familiar with the plane. After student task 1,have students devise quick ways they can graph a line.Have them graph two lines and find the point of intersection.
Teach students how to solve equations with two variables by substitution,addition and subtraction.
Assign various word problems that involve two variables and have students work in groups to solve them.Have them put their solutions on the board and explain them.
Repeat the previous exercise but with three variables and have students devise a way of solving them.
Teach what a matrix is and show students how to solve equations with two and three variables using matrices.The matrix equation
Student Tasks or Scientific Investigation/Experimentation
Give students tables with x and y values partially
written.They have to figure out the missing
values and determine the general equation.
Students can use the same coordinate plane to
determine the missing values and general
equation of the lines.Assign students various equations to determine
the solutions.Assign word problems different from those
discussed in class,for homework.See if students
can set up simultaneous equations and solve
them.Assign students equations to solve using
matrices.Give the class three different systems of
equations.Have students number off by threes
(1,2,3,1,2,3 …)Have #1s work together to
solve each system by graphing;#2s work
together to solve by substitution;and #3s solve
using matrices.After at least two systems are
solved,have students return to their original seats
where they can work in groups of three (one
each from #1,#2,and #3 groups)sharing how
each solved the systems using a different
method.
Assessment or Scientific Application/Assessment
Have an assessment that makes sure students
know how to solve equations by addition,
subtraction and graphing.Assess various word problems discussed in class.
Give students a graph of two intersecting lines
and see if they can determine the equation of
each line and check if their equations are correct
by plotting points.
Resources and Technology
Resource:“Meadows and Malls ” unit from the
third year textbook of the Interactive
Mathematics Program ™ ((IMP ™)has matrix
activities.Contact Key Curriculum Press at 1-
800-995-MATH for ordering information.Technology:Students can write a BASIC
program to solve for x and y given two
equations.
This page is taken from the Santa Clara Office of Education.