Teachers:
Resources for Middle Grades (6-8)

The North Carolina Collaborative for Mathematics Learning (NC2ML) aims to support NC math educators in implementing the revised mathematics content standards in ways that align with what we know from research on students’ mathematical thinking, mathematics teaching, and teacher learning. To do so, we bring together mathematics educators to co-design research-based resources and professional learning opportunities.

Sequences of Tasks

The NC²ML team recognizes the importance of strong, high cognitive demand mathematical problems (also known as tasks). According to the Task Research-Practice brief, good problems are low-floor, high ceiling, wide wall tasks that allow everyone access, no matter ability. They also push all students to go beyond their current understanding. The team also recognized that one task, alone, cannot teach a concept at depth. Thus, files include a set of 3 or more tasks sequenced in such a way as to build understanding progressively. The sequence of tasks build students’ mathematical reasoning, procedural fluency and conceptual understanding.

 

GradeClusterSequence of Tasks
6thReasoning with Area and Surface AreaParts and Pieces
WORD | PDF

Creating a Triangular Flag
WORD | PDF
6thDivision of Fractions ConceptionsThis for That
WORD | PDF
6thReasoning with Factors and MultiplesReasoning with Factors and Multiples #1
WORD | PDF

Reasoning with Factors and Multiples #2
WORD | PDF
6thRatio ReasoningRatio Reasoning
WORD | PDF
7thReasoning with ExpressionsEquivalent Expressions
WORD | PDF
7thProportional RelationshipsGeometry Cluster
WORD | PDF

Ratios 1
WORD | PDF

Ratios 2
WORD | PDF
7thReasoning with Rational NumbersNumber Systems 1
WORD | PDF

Number Systems 2
WORD | PDF

Number Systems 3
WORD | PDF

Number Systems 4
WORD | PDF
7thProportional ReasoningRatios
WORD | PDF
7thProbabilityFoolish Fouls
WORD | PDF
8thReasoning About Equations and AnglesAngles
WORD | PDF

Solving Equations
WORD | PDF

Inequalities
WORD | PDF
8thFunctional Reasoning/System UnitComparing Functions
WORD | PDF

Systems of Equations
WORD | PDF
8thReasoning about Similarity and TransformationsCongruence
WORD | PDF

Similarity
WORD | PDF

Transformations
WORD | PDF
8thFunctional ReasoningInterpreting Slope and Y-Intercepts
WORD | PDF

Lines of Best Fit
WORD | PDF
8thStatistical ReasoningTwo-Way Tables
WORD | PDF

Scatterplots
WORD | PDF