Illustrative Math
Illustrative Math
1. Factors and Multiples
Factors, multiples, and factor pairs.
Prime vs. Composite numbers.
Area and side lengths of rectangles as factors.
Building fluency with multiplication.
2. Fraction Equivalence and Comparison
Area as a foundation: Multiples are made up of Factors
Factor Pairs within AREA
Multiples: Understanding that the area is a multiple of each of its side lengths
Prime & Composite Numbers: (prime has only two factors, composite has more).
3. Extending Operations to Fractions
Area & Factors: Using rectangles (area diagrams) to find all whole-number side lengths (factor pairs) for a given area (a multiple).
Multiples: Understanding that the area is a multiple of its side lengths.
Prime & Composite Numbers: Classifying numbers based on their number of factor pairs (one pair vs. multiple pairs).
4. From Hundredths to Hundred-thousands
Decimal Representation: Reading, writing, comparing, and ordering decimals to the hundredths, often on grids representing 1 whole.
Place Value: Understanding the relationship between places (e.g., 1 ten-thousand is 10 thousands) and representing numbers beyond 1,000.
Standard Algorithm: Adding and subtracting large whole numbers using the standard algorithm.
Number Lines: Locating and comparing decimals and large numbers on number lines.
Multiplicative Comparison and Measurement
Multiplicative Comparison: Understanding and solving problems like "How many times as many?" or "times as many," using diagrams and equations.
Measurement Conversion: Converting units within a system (e.g., meters to centimeters, liters to milliliters, kilograms to grams, pounds to ounces) by understanding their relationships.
Problem Solving: Tackling one-step and multi-step word problems that combine multiplicative comparisons and measurement conversions.
Multiplying and Dividing Multi-Digit Numbers
Angles and Angle Measurement
Properties of Two-Dimensional Shapes
Putting It All Together
Math Expressions
Unit 1: Place Value and Multi-Digit Addition and Subtraction
Unit 2: Multiplication with Whole Numbers
-For Parents: Area Model Method, Partial Products Method, Algebraic Notation Method
Unit 3: Division with Whole Numbers
-For Parents: Partial Quotients Method, Area Model Method for Division
Unit 4: Equations with Variables, Word Problems and Patterns
Unit 5: Measurement
Unit 6: Fraction Concepts and Operations
Unit 7: Fractions and Decimals
Unit 8: Geometry
Liquid Volume Units of Measurement
Mass and Weight Units of Measurement
Measuring Angles ONLINE with a PROTRACTOR
Measurement Videos
METRIC SYSTEM
LENGTH Meters : kilometers (km) meters (m) cm, mm)
*complete worksheet
MASS / WEIGHT: Grams (kg, g, mg)
*complete worksheet
CUSTOMARY SYSTEM
WEIGHT Tons,(t) Pounds, (lb) Ounces (oz)
*complete worksheet
Comparing Fractions Game: Common Denominators
Comparing Fractions Game: Common Numerators