Elementary Math Parent Resources

Introduction

Recent math research has focused a great deal on developing a thorough understanding of math. There has also been a great deal of brain research on the appropriate mindset when interacting with math. Twenty-first century skills require that all students be able to solve real-world complex problems. In shifting towards that goal, Common Core Math was developed. In Pennsylvania, we have adopted our own PA Core Math; however, there is a great deal of overlap between both.

Each grade has its own expectations in terms of the concepts and ideas which should be mastered. We have links for each grade level with resources to help further develop your child's understanding of the topics in class.

The one thing that all grades have in common in math is the development of mathematical practice. Common Core has eight underlying principles for mathematical practice. They are the following:

Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision.
Look for and make use of structure.
Look for and express regularity in repeated reasoning.

Our curriculum in K-5 is based upon the Eureka Math. Eureka Math is aligned to the PA core standards and focuses on helping students develop the appropriate skills at each level as well as the principles for mathematical practice.

Eureka Math helps students develop a concrete, pictorial, and abstract understanding of math. Research has shown that students who develop mathematical connections between concrete, pictorial, and abstract concepts are able to solve more complex math problems. The National Council for Teachers of Math argue that students should develop the following mathematical connections.

Developing Math Connections

Students who are able to make all five connections in any given area are better mathematical students.

When students are starting to understand a concept, for enrichment they should not be expected to just do more of the same concept. Instead, students should think about being able to do the following:

Draw a picture explaining your solution.
Make a physical model using manipulatives or other objects explaining your solution.
Write a note to a friend explaining your solution.
Turn to a partner and explain your solution.
Create a real-world problem which is similar to your problem. Attempt to solve your problem using a different method.

All five techniques can be used on the same problem and help develop students' further understanding of a math concept.

Eureka Math has at least four basic concepts:

Lessons need to link the following ideas in students' heads: the concrete, pictorial, and abstract approaches to a mathematical concept.
Students need to be able to visualize a problem.
Students should all be engaged in thinking about problem solving.
Utilizes Read, Draw, Write as the foundation for problem solving.

For further information about your specific grade, please click on your link. Below are universal math options that the district uses to help students practice the math skills learned in their classes.

Math Online Options

Reflex Math
- Students work independently on basic math facts. For this database, contact Dr. Nesbitt and ask to be invited as a teacher. You will set up your class by selecting your students. Once students are in your class, they can work at their own pace to work on basic math skills.
- Students log in to this by typing their teacher's username, selecting themselves in the class, and using their password, which is fords followed by their student number. For example, if their student number is 12345, their password would be fords12345.

Kindergarten

For parent tips on how to support your student during the units of study in Kindergarten, click on a link below. In Kindergarten, we follow the recommended modules for building number sense.

Module 1 - Topic A Attributes of Two Related Objects
Module 1 - Topic B Classify to Make Categories and Count
Module 1 - Topic C Numbers to 5 in different Configurations
Module 1 - Topic D The Concept of Zero and Numbers 0-5
Module 1 - Topic E Working with numbers 6-8
Module 1 - Topic F Working with numbers 9-10
Module 1 - Topic G - One More with numbers 0-10
Module 1 - Topic H - One Less with numbers 0-10

Module 4 - Topic A Composition and Decomposition of 2, 3, 4 and 5
Module 4 - Topic B Decomposition of 6, 7 and 8 into number pairs
Module 4 - Topic C Addition with totals 6, 7 and 8
Module 4 - Topic D Subtraction From numbers to 8
Module 4 - Topic E Decomposition of 9 and 10 into number pairs
Module 4 - Topic F Addition with totals of 9 and 10
Module 4 - Topic G Subtraction from 9 and 10
Module 4 - Topic H Patterns with adding 0 and 1 and making 10

Module 5 - Topic A Count 10 Ones and Some Ones
Module 5 - Topic B Compose Numbers 11-20 From 10 Ones and Some Ones; Represent and Write Teen Numbers
Module 5 - Topic C Decompose Numbers 11-20, and Count and Answer :How Many?" Questions in Varied Configurations
Module 5 - Topic D Extend the Say 10 and Regular Count Sequence to 100
Module 5 - Topic E Represent and Apply Compositions and Decompositions of Teen Numbers

Additional Resources

Number Sense
Subitizing One
Subitizing Two
Subitizing Three
1-20 Number Path
Missing Parts Cards
Number Sense Activities
Rekenrek Activities

Other Resources:
Math Ten Frame Cards

Greg Tang Games:
How much - How many - comparing numbers
NumTanga - associating numbers with objects
Ten Frame Mania - associating numbers in a ten frame picture

1st Grade

For parent tips on how to support your student during the units of study in first grade, please click below.

Module 1 - Topic A: Embedded Numbers and Decompositions
Module 1 - Topic B: Counting On from Embedded Numbers
Module 1 - Topic C: Addition Word Problems
Module 1 - Topic D: Strategies for Counting On
Module 1 - Topic E: The Commutative Property of Addition and the Equal Sign
Module 1 - Topic F: Development of Addition Fluency Within 10
Module 1 - Topic G: Subtraction as an Unknown Addend Problem
Module 1 - Topic H: Subtraction Word Problems
Module 1 - Topic I: Decomposition Strategies for Subtraction
Module 1 - Topic J: Development of Subtraction Fluency Within 10

Module 2 - Topic A: Counting On or Making Ten to Solve Result Unknown and Total Unknown Problems
Module 2 - Topic B: Counting On or Taking from Ten to Solve Result Unknown and Total Unknown Problems
Module 2 - Topic C: Strategies for Solving Change or Addend Unknown Problems
Module 2 - Topic D: Varied Problems with Decompositions of Teen Numbers as 1 Ten and Some Ones

Module 3 - Topic A: Indirect Comparison in Length Measurement
Module 3 - Topic B: Standard Length Units
Module 3 - Topic C: Non-Standard and Standard Length Units
Module 3 - Topic D: Data Interpretation

Module 4 - Topic A: Tens and Ones
Module 4 - Topic B: Comparison of Pairs of Two-Digit Numbers
Module 4 - Topic C: Addition and Subtraction of Tens
Module 4 - Topic D: Addition of Tens or Ones to a Two-Digit Number
Module 4 - Topic E: Varied Problem Types Within 20
Module 4 - Topic F: Addition of Tens and Ones to a Two-Digit Number

Module 5 - Topic A: Attributes of Shapes
Module 5 - Topic B: Part–Whole Relationships Within Composite Shapes
Module 5 - Topic C: Halves and Quarters of Rectangles and Circles
Module 5 - Topic D: Application of Halves to Tell Time

Module 6 - Topic A: Comparison Word Problems
Module 6 - Topic B: Numbers to 120
Module 6 - Topic C: Addition to 100 Using Place Value Understanding
Module 6 - Topic D: Varied Place Value Strategies for Addition to 100
Module 6 - Topic E: Coins and Their Values
Module 6 - Topic F: Varied Problem Types Within 20
Module 6 - Topic G: Culminating Experience

Additional Resources

Number Sense
Subitizing One
Subitizing Two
Subitizing Three
1-20 Number Path
Missing Parts Cards
Number Sense Activities
Rekenrek Activities

Other Resources
Math Ten Frame Cards

Greg Tang Games
How much - How many  - comparing numbers
NumTanga  - associating numbers with objects
Ten Frame Mania - associating numbers in a ten frame picture
Math Limbo - addition and understanding number relationships
Coin Bubble - understanding money

2nd Grade

For parent tips on how to support your student during the units of study in second grade, please click below.

Module 1 - Topic A: Foundations for Fluency with Sums and Differences Within 100
Module 1 - Topic B: Initiating Fluency with Addition and Subtraction Within 100

Module 2 - Topic A: Understand Concepts About the Ruler
Module 2 - Topic B: Measure and Estimate Length Using Different Measurement Tools
Module 2 - Topic C: Measure and Compare Lengths Using Different Length Units
Module 2 - Topic D: Relate Addition and Subtraction to Length

Module 3 - Topic A: Forming Base Ten Units of Ten, a Hundred, and a Thousand
Module 3 - Topic B: Understanding Place Value Units of One, Ten, and a Hundred
Module 3 - Topic C: Three-Digit Numbers in Unit, Standard, Expanded, and Word Forms
Module 3 - Topic D: Modeling Base Ten Numbers Within 1,000 with Money
Module 3 - Topic E: Modeling Numbers Within 1,000 with Place Value Disks
Module 3 - Topic F: Comparing Two Three-Digit Numbers
Module 3 - Topic G: Finding 1, 10, and 100 More or Less Than a Number

Module 4 - Topic A: Sums and Differences Within 100
Module 4 - Topic B: Strategies for Composing a Ten
Module 4 - Topic C: Strategies for Decomposing a Ten
Module 4 - Topic D: Strategies for Composing Tens and Hundreds
Module 4 - Topic E: Strategies for Decomposing Tens and Hundreds
Module 4 - Topic F: Student Explanations of Written Methods

Module 5 - Topic A: Strategies for Adding and Subtracting Within 1,000
Module 5 - Topic B: Strategies for Composing Tens and Hundreds Within 1,000
Module 5 - Topic C: Strategies for Decomposing Tens and Hundreds Within 1,000
Module 5 - Topic D: Student Explanations for Choice of Solution Methods

Module 6 - Topic A: Formation of Equal Groups
Module 6 - Topic B: Arrays and Equal Groups
Module 6 - Topic C: Rectangular Arrays as a Foundation for Multiplication and Division
Module 6 - Topic D: The Meaning of Even and Odd Numbers

Module 7 - Topic A: Problem Solving with Categorical Data
Module 7 - Topic B: Problem Solving with Coins and Bills
Module 7 - Topic C: Creating an Inch Ruler
Module 7 - Topic D: Measuring and Estimating Length Using Customary and Metric Units
Module 7 - Topic E: Problem Solving with Customary and Metric Units
Module 7 - Topic F: Displaying Measurement Data

Module 8 - Topic A: Attributes of Geometric Shapes
Module 8 - Topic B: Composite Shapes and Fraction Concepts
Module 8 - Topic C: Halves, Thirds, and Fourths of Circles and Rectangles
Module 8 - Topic D: Application of Fractions to Tell Time

Additional Resources

Number Sense
Subitizing One
Subitizing Two
Subitizing Three
1-20 Number Path
Missing Parts Cards
Number Sense Activities
Rekenrek Activities

3rd Grade

For parent tips on how to support your student during the units of study in third grade, please click below.

Module 1 - Topic A: Multiplication and the Meaning of the Factors
Module 1 - Topic B: Division as an Unknown Factor Problem
Module 1 - Topic C: Analyze Arrays to Multiply Using Units of 2 and 3
Module 1 - Topic D: Division Using Units of 2 and 3
Module 1 - Topic E: Multiplication and Division Using Units of 4
Module 1 - Topic F: Distributive Property and Problem Solving Using Units of 2–5 and 10

Module 2 - Topic A: Time Measurement and Problem Solving
Module 2 - Topic B: Measuring Weight and Liquid Volume in Metric Units
Module 2 - Topic C: Rounding to the Nearest Ten and Hundred
Module 2 - Topic D: Two- and Three-Digit Measurement Addition Using the Standard Algorithm
Module 2 - Topic E: Two- and Three-Digit Measurement Subtraction Using the Standard Algorithm

Module 3 - Topic A: The Properties of Multiplication and Division
Module 3 - Topic B: Multiplication and Division Using Units of 6 and 7
Module 3 - Topic C: Multiplication and Division Using Units up to 8
Module 3 - Topic D: Multiplication and Division Using Units of 9
Module 3 - Topic E: Analysis of Patterns and Problem Solving Including Units of 0 and 1
Module 3 - Topic F: Multiplication of Single-Digit Factors and Multiples of 10

Module 4 - Topic A: Foundations for Understanding Area
Module 4 - Topic B: Concepts of Area Measurement
Module 4 - Topic C: Arithmetic Properties Using Area Models
Module 4 - Topic D: Applications of Area Using Side Lengths of Figures

Module 5 - Topic A: Partitioning a Whole into Equal Parts
Module 5 - Topic B: Unit Fractions and their Relation to the Whole
Module 5 - Topic C: Comparing Unit Fractions and Specifying the Whole
Module 5 - Topic D: Fractions on the Number Line
Module 5 - Topic E: Equivalent Fractions
Module 5 - Topic F: Comparison, Order, and Size of Fractions

Module 6 - Topic A: Generate and Analyze Categorical Data
Module 6 - Topic B: Generate and Analyze Measurement Data

Module 7 - Topic A: Solving Word Problems
Module 7 - Topic B: Attributes of Two-Dimensional Figures
Module 7 - Topic C: Problem Solving with Perimeter
Module 7 - Topic D: Recording Perimeter and Area Data on Line Plots
Module 7 - Topic E: Problem Solving with Perimeter and Area
Module 7 - Topic F: Year in Review

Additional Resources

Greg Tang Games
How much - How many - comparing numbers
NumTanga - associating numbers with objects
Ten Frame Mania - associating numbers in a ten frame picture
Math Limbo - addition and understanding number relationships
Coin Bubble - understanding money
Kakooma - more complex math puzzles

4th Grade

For parent tips on how to support your student during the units of study in fourth grade, please click below.

Module 1 - Topic A: Place Value of Multi-Digit Whole Numbers
Module 1 - Topic B: Comparing Multi-Digit Whole Numbers
Module 1 - Topic C: Rounding Multi-Digit Whole Numbers
Module 1 - Topic D: Multi-Digit Whole Number Addition
Module 1 - Topic E: Multi-Digit Whole Number Subtraction
Module 1 - Topic F: Addition and Subtraction Word Problems

Module 2 - Topic A: Metric Unit Conversions
Module 2 - Topic B: Application of Metric Unit Conversions

Module 3 - Topic A: Multiplicative Comparison Word Problems
Module 3 - Topic B: Multiplication by 10, 100, and 1,000
Module 3 - Topic C: Multiplication of up to Four Digits by Single-Digit Numbers
Module 3 - Topic D: Multiplication Word Problems
Module 3 - Topic E: Division of Tens and Ones with Successive Remainders
Module 3 - Topic F: Reasoning with Divisibility
Module 3 - Topic G: Division of Thousands, Hundreds, Tens, and Ones
Module 3 - Topic H: Multiplication of Two-Digit by Two-Digit Numbers

Module 4 - Topic A: Lines and Angles
Module 4 - Topic B: Angle Measurement
Module 4 - Topic C: Problem Solving with the Addition of Angle Measures
Module 4 - Topic D: Two-Dimensional Figures and Symmetry

Module 5 - Topic A: Decomposition and Fraction Equivalence
Module 5 - Topic B: Fraction Equivalence Using Multiplication and Division
Module 5 - Topic C: Fraction Comparison
Module 5 - Topic D: Fraction Addition and Subtraction
Module 5 - Topic E: Extending Fraction Equivalence to Fractions Greater than 1
Module 5 - Topic F: Addition and Subtraction of Fractions by Decomposition
Module 5 - Topic G: Repeated Addition of Fractions as Multiplication
Module 5 - Topic H: Explore a Fraction Pattern

Module 6 - Topic A: Exploration of Tenths
Module 6 - Topic B: Tenths and Hundredths
Module 6 - Topic C: Decimal Comparison
Module 6 - Topic D: Addition with Tenths and Hundredths
Module 6 - Topic E: Money Amounts as Decimal Numbers

Module 7 - Topic A: Measurement Conversion Tables
Module 7 - Topic B: Problem Solving with Measurement
Module 7 - Topic C: Investigation of Measurements Expressed as Mixed Numbers
Module 7 - Topic D: Year in Review

Additional Resources

Greg Tang Games
How much - How many - comparing numbers
NumTanga - associating numbers with objects
Ten Frame Mania - associating numbers in a ten frame picture
Math Limbo - addition and understanding number relationships
Coin Bubble - understanding money
Kakooma - more complex math puzzles