Grade 4 Mathematics

Major Topics and Concepts

Segment One

• using place value patterns
• reading and writing whole numbers in different ways
• plotting, ordering, and comparing multi-digit whole numbers
• rounding multi-digit whole numbers
• adding and subtracting multi-digit whole numbers
• factors and multiples
• determining prime and composite numbers
• multiplying multi-digit numbers using strategies and a standard algorithm
• dividing by a one-digit number
• using number patterns
• understanding equations and variables
• understanding perimeter and area relationships
• finding median, mode, and range of whole numbers
• stem-and-leaf plots of whole numbers
• line plots with whole numbers

Segment Two

• understanding mixed numbers
• finding equivalent fractions and mixed numbers using different strategies
• adding fractions and mixed numbers
• subtracting fractions and mixed numbers
• multiplying a fraction by a whole number
• understanding fraction and decimal relationships
• working with decimals to the hundredths place
• finding median, mode, and range of fractions and decimals
• stem-and-leaf plots with fractions and decimals
• line plots with fractions and decimals
• measuring units of measure in the metric and customary system
• converting units of measure in the metric and customary system
• measuring and drawing angles

Required Materials:

• printer
• cell phone or scanner
• headset or earbuds
• notebook
• pens
• pencils
• erasers
• scissors
• coloring materials (markers, crayons, colored pencils)
• glue
• tape
• stapler
• ruler
• printer paper
• lined paper
• colored paper
• protractor
• general household objects for activities

Syllabus:

Module 01: Place Value Understanding

• 01.00 Place Value Understanding: Pretest
• 01.01 Place Value Patterns
• 01.02 Reading and Writing Whole Numbers
• 01.03 Comparing and Ordering Whole Numbers
• 01.04 Rounding Whole Numbers
• 01.05 Adding Multi-Digit Whole Numbers
• 01.06 Subtracting Multi-Digit Whole Numbers

Module 02: Multiples and Factors

• 02.00 Multiples and Factors: Pretest
• 02.01 Multiplication Facts with Models
• 02.02 Multiplication Facts with Mental Math
• 02.03 Multiplying by 10s, 100s, and 1,000s:
• 02.04 Factor Pairs
• 02.05 Multiples and Factors: Review

Module 03: One-Digit Multiplication

• 03.00 One-Digit Multiplication: Pretest
• 03.01 Estimates with a One-Digit Factor
• 03.02 Area Models with a One-Digit Factor
• 03.03 Partial Products with a One-Digit Factor
• 03.04 A Standard Algorithm with a One-Digit Factor

Module 04: Multi-Digit Multiplication

• 04.00 Multi-Digit Multiplication: Pretest
• 04.01 Estimates with Multi-Digit Factors
• 04.02 Area Models with Multi-Digit Factors
• 04.03 Partial Products with Multi-Digit Factors
• 04.04 A Standard Algorithm with Multi-Digit Factors
• 04.05 Multi-Digit Multiplication: Review

Module 05: Dividing by a One-Digit Divisor

• 05.00 Dividing by a One-Digit Divisor: Pretest
• 05.01 Getting to Know Division
• 05.02 Estimating Quotients
• 05.03 Dividing with Area Models
• 05.04 Partial Quotients
• 05.05 Long Division
• 05.06 Problem Solving with Division

Module 06: Algebraic Thinking

• 06.00 Algebraic Thinking: Pretest
• 06.01 Prime or Composite
• 06.02 Number Patterns
• 06.03 Understanding Equations
• 06.04 Writing Equations
• 06.05 Perimeter and Area
• 06.06 Patterns with Perimeter and Area
• 06.07 Algebraic Thinking: Review

Module 07: Data with Whole Numbers

• 07.00 Data with Whole Numbers: Pretest
• 07.01 Median, Mode, and Range
• 07.02 Line Plots
• 07.03 Stem-and-Leaf Plots

Module 08: Equivalent Fractions and Mixed Numbers

• 08.00 Equivalent Fractions and Mixed Numbers: Pretest
• 08.01 Understanding Mixed Numbers
• 08.02 Equivalent Fractions with Models
• 08.03 Equivalent Fractions with Number Lines
• 08.04 Equivalent Fractions with Equations
• 08.05 Using Equivalent Fractions to Compare and Order
• 08.06 Using Benchmark Fractions to Compare and Order
• 08.07 Equivalent Fractions and Mixed Numbers: Review

Module 09: Working with Fractions and Mixed Numbers

• 09.00 Working with Fractions and Mixed Numbers: Pretest
• 09.01 Decomposing Fractions and Mixed Numbers
• 09.02 Adding and Subtracting Fractions with Models
• 09.03 Adding and Subtracting Fractions with a Number Line
• 09.04 Adding Fractions with A Standard Algorithm
• 09.05 Subtracting Fractions with A Standard Algorithm
• 09.06 Exploring Fraction Multiplication

Module 10: Decimal Numbers

• 10.00 Decimal Numbers: Pretest
• 10.01 Decimals Less Than 1
• 10.02 Decimals Greater Than 1
• 10.03 Comparing and Ordering Decimals
• 10.04 Adding and Subtracting Decimals
• 10.05 Solving Money Problems with Decimals
• 10.06 Decimal Numbers: Review

Module 11: Data with Fractions and Decimals

• 11.00 Data with Fractions and Decimals: Pretest
• 11.01 Interpreting Fraction and Decimal Data
• 11.02 Plotting with Fractions
• 11.03 Plotting with Decimals

Module 12: Measurement with Metric Units

• 12.00 Measurement with Metric Units: Pretest
• 12.01 Measuring Metric Lengths
• 12.02 Converting Metric Lengths
• 12.03 Metric Units of Volume
• 12.04 Metric Units of Mass
• 12.05 Measuring Temperature
• 12.06 Measurement with Metric Units: Review

Module 13: Measurement with Customary Units

• 13.00: Measurement with Customary Units: Pretest
• 13.01 Measuring Customary Lengths
• 13.02 Converting Customary Lengths
• 13.03 Customary Units of Volume
• 13.04 Customary Units of Weight
• 13.05 Converting Units of Time

Module 14: Measuring Angles

• 14.00: Measuring Angles: Pretest
• 14.01 Types of Angles
• 14.02 Measuring with a Protractor
• 14.03 Benchmark and Additive Angles
• 14.04 Drawing with a Protractor
• 14.05 Measuring Angles: Review