Public learning track
Visual Growing Patterns, Numerical Sequences, and Function Machines
6th Grade · Math · Open Global Math
7 lessons
Goal
Generate and analyze arithmetic sequences and geometric visual patterns, express general rules with algebraic notation, and model rules using flowcharts.
Featured Diagrams
Analyzing Visual Growing Patterns and Spatial Arrays
7 lessons
0 of 7 done
- 1Analyzing Visual Growing Patterns and Spatial ArraysUp nextStart
- 2Finding the Rule for Linear Number SequencesPremiumNot started yet
- 3Distinguishing Recursive and Explicit Sequence RulesNot started yet
- 4Finding Position-to-Term Algebraic Formulas for SequencesNot started yet
- 5Using General Rules to Predict Far Terms in PatternsNot started yet
- 6Writing Algebraic Rules for Input-Output Tables Using VariablesNot started yet
- 7Modeling Algebraic Rules Using Flowcharts and Function MachinesNot started yet
Curriculum Framework
6th Grade · Math · Open Global Math
1
6 lessons
Algebraic Expressions and Mathematical Terminology
Read, write, and analyze algebraic expressions using precise vocabulary including terms, variables, coefficients, and operations.
2
6 lessons
Evaluating Algebraic Expressions with Rational Numbers
Evaluate one-step and multi-step algebraic expressions for specific whole number, decimal, and fractional values using the order of operations.
3
7 lessons
Properties of Operations and Combining Like Terms
Apply commutative, associative, identity, and inverse properties to identify and combine like terms and generate equivalent algebraic expressions.
4
7 lessons
The Distributive Property and Factoring Monomials
Expand algebraic expressions using the distributive property and factor out common numerical and monomial factors.
5
5 lessons
Foundations of Equations and Solution Sets
Understand equations as balanced mathematical statements, test candidate solutions from replacement sets, and represent solutions on number lines.
6
6 lessons
Solving One-Step Addition and Subtraction Equations
Solve one-step equations of the forms x + p = q and x - p = q involving nonnegative rational numbers using inverse operations and balance strategies.
7
7 lessons
Solving One-Step Multiplication and Division Equations
Solve one-step equations of the forms px = q and x/p = q involving nonnegative rational numbers using inverse operations and multiplicative inverses.
8
7 lessons
One-Variable Inequalities and Number Line Representations
Write, interpret, solve, and graph one-variable inequalities representing real-world constraints on number lines.
9
6 lessons
Independent and Dependent Variables in Real-World Contexts
Identify independent and dependent variables in relationships, distinguish cause from effect, and represent relationships with algebraic equations.
10
7 lessons
Multi-Representational Relationships: Tables, Equations, and Graphs
Translate dynamically between verbal rules, input-output tables, algebraic equations (y = kx and y = x + b), and Cartesian graphs.
11
7 lessons
Visual Growing Patterns, Numerical Sequences, and Function Machines
Generate and analyze arithmetic sequences and geometric visual patterns, express general rules with algebraic notation, and model rules using flowcharts.