Math Resources



Math Resources 

Grade 4 Vocabulary/ Representation This link is an excellent math vocabulary resource.

Grade 4 Module 7 Lessons
Exploring Measurement with Multiplication
Tips for Parents link
In this 20-day module, students build their competencies in measurement as they relate multiplication to the conversion of measurement units.  Throughout the module, students will explore multiple strategies for solving measurement problems involving unit conversion.
New or Recently Introduced Terms   Customary system of measurement (measurement system commonly used in the United States that includes such units as yards, pounds, and gallons)

  •   Customary unit (e.g., foot, ounce, quart)
    §   Cup (c) (customary unit of measure for liquid volume)
    §   Gallon (gal) (customary unit of measure for liquid volume)
    §   Metric system of measurement (base ten system of measurement used internationally that includes such units as meters, kilograms, and liters)
    §   Metric unit (e.g., kilometer, gram, milliliter)
    §   Ounce (oz) (customary unit of measure for weight)
    §   Pint (pt) (customary unit of measure for liquid volume)
    §   Pound (lb) (customary unit of measure for weight)
    §   Quart (qt) (customary unit of measure for liquid volume)
    Familiar Terms and Symbols[1]
    §   Capacity (the maximum amount that a container can hold)
    §   Convert (to express a measurement in a different unit)
    §   Distance (the length of the line segment joining two points)
    §   Equivalent (the same)
    §   Foot (ft) (customary unit of measure for length)
    §   Hour (hr) (unit of measure for time)
    §   Inch (customary unit of measure for length, 12 inches = 1 foot)
    §   Interval (time passed or a segment on the number line) 
    §   Gram (g), kilogram (kg) (metric units of measure for mass, not distinguished from weight at this time)
    §   Length (the measurement of something from end to end)
    §   Liter (L), milliliter (mL) (metric units of measure for liquid volume)
    §   Measurement (dimensions, quantity, or capacity as determined by comparison with a standard)
    §   Meter (m), centimeter (cm), kilometer (km), (metric units of measure for length)
    §   Minute (min) (unit of measure for time)
    §   Mixed units (e.g., 3 m 43 cm)
    §   Second (sec) (unit of measure for time)
    §   Table (used to represent data)
    §   Weight (the measurement of how heavy something is)
    §   Yard (yd) (customary unit of measure for length)



    [1] These are terms and symbols students have seen previously.

C.  Investigation of Measurement Expressed as Mixed Numbers
A.  Measurement Conversion Tables


Grade 4 Module 6:
Decimal Fractions
Grade 4 Module 6: Decimal Fractions  This 20-day module gives students their first opportunity to explore decimal numbers via their relationship to decimal fractions, expressing a given quantity in both fraction and decimal forms.  Utilizing the understanding of fractions developed throughout Module 5, students apply the same reasoning to decimal numbers, building a solid foundation for Grade 5 work with decimal operations. 
E.  Money Amounts as Decimal Numbers
D.  Addition with Tenths and Hundredths
C.  Decimal Comparison
B.  Tenths and Hundredths
Newsletter Module 6B
A.  Exploration of Tenths

Module 5:

Learning Objective  Fraction Equivalence, Ordering, and Operations
In this 40-day module, students build on their Grade 3 work with unit fractions as they explore fraction equivalence and extend this understanding to mixed numbers. This leads to the comparison of fractions and mixed numbers and the representation of both in a variety of models. Benchmark fractions play an important part in students’ ability to generalize and reason about relative fraction and mixed number sizes. Students then have the opportunity to apply what they know to be true for whole number operations to the new concepts of fraction and mixed number operations.
H.  Exploring a Fraction Pattern


G.  Repeated Addition of Fractions as Multiplication 

E.  Extending Fraction Equivalence to Fractions Greater Than 1 

D. 
 Fraction Addition and Subtraction

A.  Decomposition and Fraction Equivalence 

Module 4: 
Angle Measure and Plane Figures 
This 20-day module introduces points, lines, line segments, rays, and angles, as well as the relationships between them. Students construct, recognize, and define these geometric objects before using their new knowledge and understanding to classify figures and solve problems. With angle measure playing a key role in their work throughout the module, students learn how to create and measure angles, as well as create and solve equations to find unknown angle measures. In these problems, where the unknown angle is represented by a letter, students explore both measuring the unknown angle with a protractor and reasoning through the solving of an equation. Through decomposition and composition activities as well as an exploration of symmetry, students recognize specific attributes present in two-dimensional figures. They further develop their understanding of these attributes as they classify two-dimensional figures based on them.

C.  Problem Solving with the Addition of Angle Measures Newsletter Module 4 C


           Homework Module 4 Lesson 10

B.  Angle Measurement  Newsletter Module 4 B

Video Module 4 Lesson 8  Homework Module 4 Lesson 8
No Video for lesson 7       Homework Module 4 Lesson 7
Video Module 4 Lesson 6  Homework Module 4 Lesson 6
Video Module 4 Lesson 5  Homework Module 4 Lesson 5

A.  Lines and Angles  Newsletter Module 4 A

Video Module 4 Lesson 4  Homework Module 4 Lesson 4
Video Module 4 Lesson 3  Homework Module 4 Lesson 3

Video Module 4 Lesson 2  Homework Module 4 Lesson 2


Video Module 4 Lesson 1  Homework Module 4 Lesson 1

Module 3: Multi-Digit Multiplication and Division

In this 43-day module, students use place value understanding and visual representations to solve multiplication and division problems with multi-digit numbers. As a key area of focus for Grade 4, this module moves slowly but comprehensively to develop students’ ability to reason about the methods and models chosen to solve problems with multi-digit factors and dividends.
H.  Multiplication of Two-Digit by Two-Digit Numbers


G.  Division of Thousands, Hundreds, Tens and Ones  Newsletter G


C.  Multiplication of up to Four Digits by Single Digit Numbers Newsletter

Video Module 3 Lesson 11   Homework Module 3 Lesson 11  
Video Module 3 Lesson 9     Homework Module 3 Lesson 9 
Video Module 3 Lesson 8     Homework Module 3 Lesson 8
Video Module 3 Lesson 7     Homework Module 3 Lesson 7

Modules 3, Topic B Newsletter


New or Recently Introduced Terms for Module 3 
§   Associative property (e.g., 96 = 3 × (4 × 8) = (3 × 4) × 8)
§   Composite number (positive integer having three or more whole number factors)
§   Distributive property (e.g., 64 × 27 = (60 × 20) + (60 × 7) + (4 × 20) + (4 × 7))
§   Divisible
§   Divisor (the number by which another number is divided)
§   Formula (a mathematical rule expressed as an equation with numbers and/or variables)  
§   Long division (process of dividing a large dividend using several recorded steps)
§   Partial product (e.g., 24 × 6 = (20 × 6) + (4 × 6) = 120 + 24)
§   Prime number (positive integer greater than 1 having whole number factors of only 1 and itself)
§   Remainder (the number left over when one integer is divided by another)
Familiar Terms and Symbols for Module 3 
§   Algorithm (steps for base ten computations with the four operations)
§   Area (the amount of two-dimensional space in a bounded region)
§   Area model (a model for multiplication and division problems that relates rectangular arrays to area, in which the length and width of a rectangle represent the factors for multiplication, and for division the width represents the divisor and the length represents the quotient)
§   Array (a set of numbers or objects that follow a specific pattern, a matrix)
§   Bundling, grouping, renaming, changing (compose or decompose a 10, 100, etc.)
§   Compare (to find the similarity or dissimilarity between)
§   Distribute (decompose an unknown product in terms of two known products to solve)
§   Divide, division (e.g., 15 ÷ 5 = 3)
§   Equation (a statement that the values of two mathematical expressions are equal using the = sign)
§   Factors (numbers that can be multiplied together to get other numbers)
§   Mixed units (e.g., 1 ft 3 in, 4 lb 13 oz)
§   Multiple (product of a given number and any other whole number)
§   Multiply, multiplication (e.g., 5 × 3 = 15)
§   Perimeter (length of a continuous line forming the boundary of a closed geometric figure)
§   Place value (the numerical value that a digit has by virtue of its position in a number)
§   Product (the result of multiplication)
§   Quotient (the result of division)
§   Rectangular array (an arrangement of a set of objects into rows and columns)





Congratulations 4th Graders we have completed Module 2!
Grade 4 Module 2:  Unit Conversions and Problem Solving with Metric Measurement
Module 2 uses length, mass and capacity in the metric system to convert between units using place value knowledge.  Students recognize patterns of converting units on the place value chart, just as 1000 grams is equal 1 kilogram, 1000 ones is equal to 1 thousand.  Conversions are recorded in two-column tables and number lines and are applied in single- and multi-step word problems solved by the addition and subtraction algorithm or a special strategy.  Mixed unit practice prepares students for multi-digit operations and manipulating fractional units in future modules.
Learning Objective  Unit Conversions and Problem Solving with Metric    
Measurement
Math Terminology for Module 2
New or Recently Introduced Terms
  • Kilometer (km, a unit of measure for length)
  • Mass (the measure of the amount of matter in an object)
  • Milliliter (mL, a unit of measure for liquid volume)
  • Mixed units (e.g., 3 m 43 cm)
Familiar Terms and Symbols
  • =, <, > (equal, less than, greater than)
Congratulations 4th Graders we have completed Module1!

Module 1 Place Value, Rounding, and Algorithums for Addition and Subtraction

Math Terminology for Module 1
New or Recently Introduced Terms

Ten thousand, hundred thousand (as places on the place value chart)
One million, ten million, hundred million (as places on the place value chart)
Algorithm (a step-by-step procedure to solve a particular type of problem)
Variable (letters that stand for numbers and can be added, subtracted, multiplied,
and divided as numbers are)

Click on the link below for helpful tips for this math module.




Grade 4 Module 1: 
Overview Video of Module 1

Having trouble with math and need some extra support click on the lesson and check out these videos to help you along.

F. Addition and Subtraction Word Problems

E.  Multi-Digit Whole Number Subtraction
D.  Multi-Digit Whole Number Addition
C. Rounding Multi-Digit Whole Numbers
B. Comparing Multi-Digit Whole Numbers
A.  Place Value of Multi-Digit Whole Numbers