Building
upon knowledge and skills gained in preceding
grades,
by the end of Grade 6, students will:
Standard 4.3
(Patterns
and Algebra) All students will represent and
analyze
relationships among variable quantities and solve
problems involving patterns, functions, and
algebraic
concepts and processes.
Standard 4.3.6.A
Patterns
Standard 4.3.6.A.1
Recognize,
describe, extend, and create patterns involving
whole numbers and rational numbers.
· Descriptions using tables, verbal rules,
simple equations, and graphs
· Formal iterative formulas (e.g., NEXT =
NOW * 3)
· Recursive patterns, including Pascal’s
Triangle (where each entry is the sum of the entries
above it) and the Fibonacci Sequence: 1, 1, 2, 3,
5, 8, . . . (where NEXT = NOW + PREVIOUS)
Standard 4.3.6.B
Functions
and Relationships
Standard 4.3.6.B.1
Describe the general behavior of functions given
by formulas or verbal rules (e.g., graph to determine
whether increasing or decreasing, linear or not).
Standard 4.3.6.C
Modeling
Standard 4.3.6.C.1
Use
patterns, relations, and linear functions to model
situations.
· Using variables to represent unknown quantities
· Using concrete materials, tables, graphs,
verbal rules, algebraic expressions/equations/inequalities
Standard 4.3.6.C.2
Draw
freehand sketches of graphs that model real phenomena
and use such graphs to predict and interpret events.
· Changes over time
· Relations between quantities
· Rates of change (e.g., when is plant growing
slowly/rapidly, when is temperature dropping
most rapidly/slowly)
Standard 4.3.6.D
Procedures
Standard 4.3.6.D.1
Solve simple linear equations with manipulatives
and informally.
· Whole-number coefficients only, answers
also whole numbers
· Variables on one or both sides of equation
Standard 4.3.6.D.2
Understand
and apply the properties of operations and numbers.
· Distributive property
· The product of a number and its reciprocal
is 1
Standard 4.3.6.D.3
Evaluate
numerical expressions.
Standard 4.3.6.D.4
Extend
understanding and use of inequality.
· Symbols (≥, ≠ , ≤)
