8th Grade
Lesson
Core Connections 3
MS-CCRS Taught
Preparation for 8.EE.C.8b
Solving and graphing systems of equations.
5.1.1
8.EE.C.7b
5.1.2
Solve linear equations in one variable.
b) Solve linear equations with rational number coefficients,
including equations whose solutions require expanding
expressions using the distributive property and collecting like
terms.
8.EE.C.7b
----
Solve linear equations in one variable.
c) Solve linear equations with rational number coefficients,
including equations whose solutions require expanding
expressions using the distributive property and collecting like
terms.
8.EE.C.8a
5.2.1
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.
College Preparatory Mathematics
Focus for Lesson
Chapter 5
MS-CCRS
Specific
Problem(s)
This lesson serves as a
foundation for getting
students prepared for solving
systems of equations.
(5-2 and 5-3)
None
The lesson introduces the
fraction buster method and
how to rewrite equations
without rational number
coefficients.
(5-11, 5-12, and 5-13)
5-22 (8.EE.7b)
This lesson serves as
additional practice for solving
multi-step equations that
include distributive property
and rational number
coefficients.
NA
The focus of this lesson is that
students understand that the
point of intersection of two
lines is the solution of the
system.
(5-24)
5-28 (8.EE.8a)
5-29
(8.EE.6; 8.F.4)
Optional
Supplements and
Adjustments
Pre-requisite
standards and
skills
7.EE.B.4a
Solve equations from
real-world problems
6.EE.B.5
Which values make an
equation true?
7.EE.A.1
Add, subtract, and
factor polynomials.
7.EE.B.4a
Solve equations from
real-world problems
An additional lesson has
been added to ensure
thorough understanding of
solving these types of
equations.
7.EE.A.1
Add, subtract, and
factor polynomials.
7.EE.B.4a
Solve equations from
real-world problems
7.EE.B.4a
Solve equations from
real-world problems
6.EE.B.5
Which values make an
equation true?
Desoto County Schools
8th Grade
Lesson
Core Connections 3
MS-CCRS Taught
8.EE.C.8c
5.2.2
Analyze and solve pairs of simultaneous linear equations.
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.
8.EE.C.8b and 8c
5.2.3
Analyze and solve pairs of simultaneous linear equations.
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.
8.EE.C.8b and 8c
5.2.4
Lesson
Analyze and solve pairs of simultaneous linear equations.
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.
MS-CCRS Taught
College Preparatory Mathematics
Focus for Lesson
Chapter 5
MS-CCRS
Specific
Problem(s)
The focus of this lesson is to
give students additional
practice with both real-world
and mathematical tasks.
(5-32 and 5-35
5-36(8.EE.8abc)
The focus of the lesson is for
students to write a system
from a word problem. Also to
solve systems both
graphically and algebraically.
(5-44)
5-47 (8.EE.8a)
5-48 (8.EE.8b)
There are three main pieces
to this lesson: (1) changing
the equations to be in the
same form; (2) choosing an
appropriate method to solve;
(3) number of possible
solutions in a system.
(5-53 and 5-54)
5-57 (8.EE.8b)
Focus for Lesson
Optional
Supplements and
Adjustments
Pre-requisite
standards and
skills
7.EE.B.4a
Solve equations from
real-world problems
6.EE.B.5
Which values make an
equation true?
7.EE.B.4a
Solve equations from
real-world problems
6.EE.B.5
Which values make an
equation true?
7.EE.B.4a
Solve equations from
real-world problems
5-65 (8.F.4)
5-66 (8.EE.8ab)
5-67 (8.EE.8c)
MS-CCRS
Specific
Problem(s)
6.EE.B.5
Which values make an
equation true?
Optional
Supplements and
Adjustments
Pre-requisite
standards and
skills
Desoto County Schools
8th Grade
8.EE.C.8
Analyze and solve pairs of simultaneous linear equations.
----
College Preparatory Mathematics
Core Connections 3
The focus is to give students
more practice on setting up
and solving real-world
systems of equations to
mirror the released PARCC
sample items.
Chapter 5
NA
This is an added lesson to
ensure students are
prepared for the PARCC
assessment.
7.EE.B.4a
Solve equations from
real-world problems
6.EE.B.5
Which values make an
equation true?
Desoto County Schools
8th Grade
Core Connections 3
Chapter 5
Assessment Understanding According to PARCC (Section Quiz and Chapter Assessment)
MS-CCRS
EOY or
PBA
Math
Practice
Clarifications

8.EE.C.7b
Solve linear equations in one variable.
b) Solve linear equations with rational number
coefficients, including equations whose solutions
require expanding expressions using the distributive
property and collecting like terms.
Calculator or
No
Calculator
Tasks do not have context.
PBA ONLY
8.C.2 – Given an equation or system of equations, present
the solution steps as a logical argument that concludes
with the set of solutions (if any).

A calculator may be used here.
EOY
and
PBA
Chapter
Mastery
Now
Full mastery is
expected.
No
Calculator
6 and 7
Future
No further lessons in
the text.

8.EE.C.8a
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.
Tasks do not have context.
PBA ONLY
EOY
and
PBA
2, 5, 6,
and 7
8.C.1.2 – Base reasoning on the principle that the graph
of an equation is two variables is the set of all its solutions
plotted in the coordinate plane.
 A calculator may be used here.
Now
Full mastery is
expected.
No
Calculator
Future
No further lessons in
the text.
College Preparatory Mathematics
Desoto County Schools
8th Grade
Core Connections 3
MS-CCRS
EOY or
PBA
Math
Practice
Clarifications
8.EE.C.8b – 1

Analyze and solve pairs of simultaneous linear equations.
b) Solve systems of two linear equations in two
variables algebraically.
20% of tasks have a zero coefficient, e.g., as in the
3
system – 𝑠 + 𝑡 = 2, 𝑡 = 6.

20% of tasks have non-zero whole-number
coefficients, and whole-number solutions.
20% of tasks have non-zero whole-number
coefficients, and at least one fraction among the
solutions.
20% of the tasks have non-zero integer coefficients
(with at least one coefficient negative).
20% of tasks have non-zero rational coefficients
(with at least one coefficient negative and at least
one coefficient a non-integer).
Tasks present students with technology that allows
them to (1) graph a point based on coordinates of
their choosing; (2) graph a line based on the
equation; (3) zoom in if the student wishes to do so,
rescaling the axes automatically.
20% of tasks have a zero coefficient, e.g., as in the
3
system – 𝑠 + 𝑡 = 2, 𝑡 = 6.
EOY
1, 6,
and 7




8.EE.C.8b – 2
Analyze and solve pairs of simultaneous linear equations.
b) Estimate solutions by graphing the equations.

EOY
5, 6,
and 7




College Preparatory Mathematics
Chapter 5
Calculator or
No
Calculator
4
Now
Full mastery is
expected.
No
Calculator
Future
No further lessons in
the text.
Now
Full mastery is
expected.
4
20% of tasks have non-zero whole-number
coefficients, and whole-number solutions.
20% of tasks have non-zero whole-number
coefficients, and at least one fraction among the
solutions.
20% of the tasks have non-zero integer coefficients
(with at least one coefficient negative).
20% of tasks have non-zero rational coefficients
(with at least one coefficient negative and at least
one coefficient a non-integer).
Chapter
Mastery
No
Calculator
Future
No further lessons in
the text.
Desoto County Schools
8th Grade
Core Connections 3
MS-CCRS
EOY or
PBA
Math
Practice
Clarifications
8.EE.C.8b – 3

Analyze and solve pairs of simultaneous linear equations.
b) 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.


EOY
7




8.EE.C.8c
Analyze and solve pairs of simultaneous linear equations.
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.
College Preparatory Mathematics
EOY
1, 5, 6,
and 7
Tasks have whole-number or integer coefficients, one
coefficient in either or both equations possibly zero.
One-third of tasks involve inconsistent systems, where the
inconsistency is plausibly visible by inspection as in the
italicized example given in the standard 8.EE.8b.
One-third of tasks involve degenerate systems (infinitely
many solutions), where the degeneracy is plausibly visible
by inspection, as for example in 3𝑥 + 3𝑦 = 1, 6𝑥 + 6𝑦 = 2.
One-third of the tasks involve systems with a unique
solution and one coefficient zero, where the solution is
plausibly visible by inspection, as for example in 𝑦 =
1, 3𝑥 + 𝑦 = 1.
Tasks assess solving by inspection, for example by listing
several systems and asking the student for the solution of
any freely chosen one of hem by inspection.
Mixture of problems are no more than 20% of tasks.
For an example of an illustrative task, see ITN Appendix F,
section A, “Illustrations of innovative task characteristics,”
sub-section 6, “Expressing mathematical reasoning,” subsection “Illustrative tasks that require students to express
mathematical reasoning,” the problem of the two
shepherds.
PBA ONLY
8.C.4.1 - Present solutions to multi-step problems in the form of
valid chains of reasoning, using symbols such as equals signs
appropriately (for example, rubrics award less than full credit for
the presence of nonsense statements such as 1 + 4 = 5 + 7 =
12, even if the final answer is correct), or identify or describe
errors in solutions to multi-step problems and present corrected
solutions.
Chapter 5
Calculator or
No Calculator
Chapter
Mastery
Now
Full mastery is
expected.
No
Calculator
Future
No further lessons in
the text.
Now
Full mastery is
expected.
Calculator
Future
No further lessons in
the text.
Desoto County Schools