Module 1:
Counting, Place Value, & Meaningful Number Sense

Module 2:
Addition &  Subtraction – Concepts, Strategies, and Algorithms

Module 3:
Multiplication & Division – Meaning Before Procedure

  • Equal Groups and Sharing

  • Building Multiplication from Known Facts

  • Understanding the Standard Algorithm

  • Sharing vs Measuring Division

  • Reasoning Through Division

  • Why Long Division Works

Module 4:
Fractions, Factors, & Number Structure

  • Fractions as Quantities

  • Different Names for the Same Amount

  • Which Fraction is Bigger – and Why

  • Combining Fractional Quantities

  • Scaling and Fraction of a Fraction

  • Why “Invert and Multiply” Works

  • Connecting Fraction and Decimal Representations

  • Breaking Numbers Apart

  • The Building Blocks of Numbers

  • Quick Tests for Dividing Evenly

  • Finding Shared Structure

  • Finding Common Timing

Module 5:
Geometry & Measurement

  • Understanding Rotation

  • How Lines Intersect

  • Angle Relationships in Shapes

  • Describing Shapes Precisely

  • Classifying Many-Sided Shapes

  • Special Four-Sided Shapes

  • The Most Important Shape

  • Distance from a Center

  • Measuring Length and Coverage

  • Three-Dimensional Shapes

  • Covering 3D Shapes

  • How Much Space a Shape Holds

  • Congruency and Similarity

  • Transformations and Symmetry

Module 6:
Ratio, Proportion, Percent, & Algebraic Thinking

  • Percent as a Ratio

  • Growing and Shrinking Quantities

  • Scaling Up and Down

  • Comparing Quantities

  • Finding Equivalent Ratios

  • Comparisons Per One

  • From Numbers to Symbols

  • Keeping Both Sides Balanced

Module 7:
Patterns, Functions, & Mathematical Structure

  • Finding Rules in Repetition

  • Inputs, Outputs, and Rules

  • Visualizing Relationships

  • Constant Rate of Change

  • Beyond Linear Relationships

  • Solving Problems with Shape

  • Using Precise Mathematical Language

Module 8:
Probability, Data, & Statistical Reasoning

  • Understanding Chance

  • Combining Chances

  • How Data are Collected

  • Categorical vs Numerical Data

  • Modeling Randomness

  • Bar Charts and Pie Charts

  • Histograms and Dotplots

  • Mean, Median, and Mode

  • When Values Don’t Count Equally

  • Visualizing Spread and Outliers

  • Measuring Variability