MG Mathematics – Algebraic Thinking (Page 1 of 2)
Proficiency Quest
Core Content Version 4.1
Algebraic Thinking
Middle grade students extend pattern work to include arithmetic sequences. They use linear functions and linear equations. They plot rational number pairs
in the Cartesian plane. They simplify algebraic and numeric expressions. They explore the effects of change on related variables. They use and solve twostep single variable equations and inequalities.
Sixth Grade
Seventh Grade
PATTERNS, RELATIONS, AND FUNCTIONS
MA-06-5.1.1 DOK 3
Students will extend, describe rules for patterns
and find a missing term in a pattern from realworld and mathematical problems
MA-06-5.1.2 DOK 2
Students will create tables for functions and will
apply the tables to solve real-world problems.
MA-06-5.1.3
Students will describe, define, provide examples of,
and apply to real world and mathematical problems
functions using tables, graphs and verbal rules.
MA-06-5.1.4
Students will explain how tables and graphs and
patterns relate to each other.
MA-06-5.1.5
Students will explain how the change in one quantity
affects change in another quantity (e.g., in tables or
graphs, input/output tables).
Academic Expectation(s)
Program of Studies
MA-07-5.1.1 DOK 3
Students will extend, describe rules for
patterns and find a missing term in a pattern
from real-world and mathematical problems.
MA-07-5.1.2 DOK 2
Students will represent, analyze, and
generalize first degree relationships using
tables, graphs, and words, and will apply the
relationships to solve real-world and
mathematical problems.
MA-08-5.1.1
Students will use variables to describe
numerical patterns based on arithmetic
sequences in real world and/or mathematical
situations (i.e. ()= 2+3).
MA-08-5.1.2 DOK 2
Students will represent, analyze, and
generalize simple first and second degree
relationships using tables, graphs, words,
and algebraic notations, and will apply the
relationships to solve real-world and
mathematical problems.
MA-07-5.1.3
Students will explain how tables, graphs, patterns,
verbal rules, and equations relate to each other
MA-07-5.1.5 DOK 2
Students will explain how the change in one
quantity affects the change in another quantity
(e.g., in tables or graphs).
1.5-1.9 2.7 2.8 2.11 2.12
6th
7th
8th
Communication Skills 1.3 1.4 1.12
Eighth Grade
DOK 1
MA-08-5.1.5 DOK 2
Students will explain how the change in
one variable affects the change in another
variable (e.g., if rate remains constant, an
increase in time results in an increase in
distance).
Depth of Knowledge
DOK 2 DOK 3 DOK 4
Academic Expectations for all Content Areas
Problem Solving Skills 5.1 5.2 5.3 5.4 5.5 Connecting & Integrating Knowledge
6.1 6.2 6.3
Related
Assessments
M-DOK
M, M
M, M, M
O, O
MG Mathematics – Algebraic Thinking (Page 2 of 2)
Core Content Version 4.1
Sixth Grade
Seventh Grade
VARIABLES, EXPRESSIONS, AND OPERATIONS
MA-06-5.2.1 DOK 2
Students will substitute values for variables (up
to two different variables) and evaluate algebraic
expressions.
MA-06-5.2.2
Students will describe, define, and provide examples
of variables and expressions with a missing value
based on real-world and mathematical problems.
EQUATIONS AND INEQUALITIES
MA-06-5.3.1 DOK 2
Students will model and solve real-world and
mathematical problems with simple equations
and inequalities (e.g., 8x=4, x+2>5).
Academic Expectation(s) 1.5-1.9 2.7 2.8 2.11
Program of Studies
6th
7th
Additional Resources:
National Council of Teachers of Mathematics
Kentucky Department of Education (KDE)
Illuminations
Cool Math Sites
Communication Skills 1.3 1.4 1.12
Proficiency Quest
Eighth Grade
MA-07-5.2.1 DOK 2
Students will substitute values for variables
(up to three different variables) and evaluate
algebraic expressions.
MA-08-5.2.1 DOK 2
Students will evaluate and simplify
algebraic expressions applying the order
of operations.
MA-07-5.2.2
Students will describe, define, and provide
examples of variables and expressions with a
missing value based on real-world and
mathematical problems.
MA-08-5.2.2
Students will describe, define, and provide
examples of variables and expressions with a
missing value based on real-world and
mathematical problems.
MA-07-5.3.1 DOK 2
Students will model and solve real-world and
mathematical problems with one- or two-step
single variable, first degree equations or
inequalities (e.g., 2x+1=9, 3x+3<9).
(Statements and solutions use only nonnegative numbers.)
MA-08-5.3.1 DOK 2
Students will model and solve single
variable, first degree real-world and
mathematical problems (e.g., 5x+2=x+22,
x-4<-60).
2.12
Depth of Knowledge
8th
DOK 1 DOK 2 DOK 3 DOK 4
Bloom’s
Bloom’s & Williams
CPE’s
Academic Expectations for all Content Areas
Problem Solving Skills 5.1 5.2 5.3 5.4 5.5 Connecting & Integrating Knowledge
6.1 6.2 6.3
Related
Assessments
M-DOK
M, M
M