Grade 8: Instructional Focus Unit 10
Course:
Linear Algebra
Instructional Focus Unit(s):
10
Domain(s):
Expressions and Equations
Cluster(s):
8.EE.C Analyze and solve linear equations and pairs of simultaneous linear equations.
Standard(s):
8.EE.C.8 Analyze and solve pairs of simultaneous linear equations.
a.
Understand that solutions to a system of two linear equations in two variables correspond to points of
intersection of their graphs, because points of intersection satisfy both equations simultaneously.
b.
Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing
the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution
because 3x + 2y cannot simultaneously be 5 and 6.
c.
Solve real-world and mathematical problems leading to two linear equations in two variables. For
example, given coordinates for two pairs of points, determine whether the line through the first pair of
points intersects the line through the second pair.
Verbs
Analyze
Solve
Understand
Graphing
Estimate
Inspect
Student will be able to:
 Graph systems of linear systems
 Solve systems algebraically (substitution and
elimination)
 Interpret the solutions in terms of graphical &
contextual representations and the equations
they are comparing
 Make connections between algebraic and
graphical solutions
 Work with systems that include rational numbers
Revised 2/13/13
Noun (phrases)
Linear equations
Pairs of simultaneous linear equations
Solutions to a system
Two linear equations
Two variables
Points of intersection
Graphs
Equations simultaneously
Two variables algebraically
Solutions
Equations
Simple cases
Real-world problems
Mathematical problems
Student will understand:
1) the solution to a system of equations
2) a system can have zero, one, or infinite
solutions
3) non-solutions in a given context
4) system
Kyrene School District
Working Document

Compare equations to determine point of
intersection
 Identify point of intersection using tables and
graphs
 Write an equation from context
 identify parts of an equation
 estimate solutions graphically
 explore systems using graphing calculator
(optional)
 change forms of an equation (given to slope
intercept form)
 analyze systems of linear equations
Revised Learning Goal(s) :
The student will be able to analyze and solve linear equations and pairs of simultaneous linear equations in
context.
Learning Scale(s):
4
In addition to level
3.0 and above and
beyond what was
taught in class, I
may:



Make
connection
with other
concepts in
math
Make
connection
with other
content areas.
Justify most
efficient
method used
for solving a
system of
equations
Revised 2/13/13
3
The student will be
able to analyze and
solve linear
equations and
pairs of
simultaneous
linear equations in
context.
 Solve system of
equations by
using
substitution
and elimination
 Interpret the
solution to the
system
 Compare
algebraic and
graphical
solutions
2
The student will be
able to solve linear
equations and
systems of linear
equations in
context.
 Identify the
system of
equations
 Solve system of
equation by
creating a table
and graph
Kyrene School District
1
With help from the
teacher, I have
partial success
with systems of
equations.
0
Even with help, I
have no success
with the unit
content.
Working Document
Assessment Bank:
Attached
Sequencing of Learning Targets:
Throughout unit -Work with systems that include rational numbers
1) Understand a system
2) Write an equation from context
 identify parts of an equation
3) Identify point of intersection using
 tables and
 Graph systems of linear systems
 Graphs
 estimate solutions graphically
4) Interpret the solutions in terms of graphical & contextual representations and the equations they are
comparing
 the solution to a system of equations
 a system can have zero, one, or infinite solutions
5) understand non-solutions in a given context
6) Compare equations to determine point of intersection
Change forms of an equation (given to slope intercept form)
 Solve systems algebraically (substitution and elimination)
 Make connections between algebraic and graphical solutions
 explore systems using graphing calculator (optional)
Revised 2/13/13
Kyrene School District
Working Document