MathLinks: Essentials Packets are composed of an opening problem, three multi-day lessons, practice pages, review activities, and student resources. You can view all packets here.

Would you like to try a portion of a dynamic, interactive
MathLinks: Essentials lesson with your students?
Just follow these 3 easy steps!

  1. Choose a lesson excerpt (from the list below) that you would like to trial.
  2. Complete this form with contact information and your lesson request.
  3. Cynthia Raff ( will contact you to arrange delivery of the files you’ll need; student pages*, teacher lesson notes, answer keys, “reproducibles” pages, and slide decks. She will also arrange a follow up debrief call.

*Student pages are copyrighted. As an authorized pilot teacher, you have permission to print or upload student pages.

Standards cited are from the Common Core. TE and SP refer to the Teacher Edition and Student Packet pages you’ll receive to pilot.

Lesson Excerpt


MathLinks Essentials Pages

(NBT1) Whole Number Multiplication and Division

Lesson excerpt:
Division Strategies
Students use repeated subtraction and a chunking strategy to make sense of division prior to tackling the standard long division algorithm.TE: 9, 9ab, 10
SP: 9, 10
SD: NBT1.2a
(FR1) Fraction Concepts

Lesson excerpt:
Fraction Strips 1
Students create fraction strips (a linear model) for halves, fourths, and eighths, and they explore relationships between these fractions.TE: 3, 3a, 4
SP: 3, 4
SD: FR1.1a
Reproducible: R1
(FR 2) Fraction Addition and Subtraction

Lesson excerpt:
Adding Fractions Using Mental Math
Students begin the study of fraction operations by using contexts, pictures, and mental math to perform fraction addition.TE: 4, 4a
SP: 4
SD: FR2.1a
(IN1) Introduction to Integers

Lesson excerpt:
Temperature Change
Students use a temperature context and number lines to make sense of temperature changes involving signed numbers.TE: 4, 4ab, 5
SP: 4,5
SD: IN1.1
(IN2) Integers 2

Lesson excerpt:
A Counter Model
Students use counters to represent positive and negative numbers, an important step in leading up to using counters for operations on signed numbers. TE: 3, 3ab, 4
SP: 3, 4
SD: INT2.1
Reproducible: R7
(EE1) Variables and Balance

Lesson excerpt:
Variables and Expressions
Students define and use variables to write and evaluate expressions in a menu context.TE: 9, 9a, 10
SP: 9, 10
SD: EE1.2a
(EE2) Expressions and Balance

Lesson excerpt:
The Hundred Chart Puzzle
Students use 7th grade level equation solving skills to solve number problems based on the hundred chart.TE: 18, 19, 19ab
SP: 18, 19
SD: EE2.3
Reproducible: R4
(PR1) Ratio Representations

Lesson excerpt:
Paint Mixtures
In this introduction to tape diagrams, students use cards depicting paint mixtures to reason intuitively in a proportional context.TE: 3, 4, 5
SP: 3, 4, 5
Reproducible: R1
(PR3) Proportional Reasoning Applications

Lesson excerpt:
Art Supplies
Students represent costs and quantities using tables and double number lines.TE 3, 3a, 4
SP 3, 4
SD: RP3.1
(FUN1) Introduction to Linear Functions

Lesson excerpt:
Saving for a Bicycle
Students represent input-output rules using equations, tables and graphs. TE 3, 3ab, 4, 5
SP: 3, 4, 5
SD: FUN1.1