Warwick School District

Course Description

---

Major Emphasis Clusters:
Operations and Algebraic Thinking
• Represent and solve problems involving addition and
subtraction.
• Add and subtract within 20.

Number and Operations in Base Ten
• Understand place value.
• Use place value understanding and properties of
operations to add and subtract.

Measurement and Data
• Measure and estimate lengths in standard units.
• Relate addition and subtraction to length.

Core Curriculum Content Standards

---

PA Common Core: Mathematics (2013)

• Numbers and Operations

• GRADE 2

• Use place value concepts to represent amounts of tens and ones and to compare three digit numbers.(2.1.2.B1)
• Use place value concepts to read, write, and skip count to 1000.(2.1.2.B2)
• Use place value understanding and properties of operations to add and subtract within 1000.(2.1.2.B3)

• Algebraic Concepts

• GRADE 2

• Represent and solve problems involving addition and subtraction within 100.(2.2.2.A1)
• Use mental strategies to add and subtract within 20.(2.2.2.A2)
• Work with equal groups of objects to gain foundations for multiplication.(2.2.2.A3)

• Geometry

• GRADE 2

• Analyze and draw two- and three-dimensional shapes having specified attributes.(2.3.2.A1)
• Use the understanding of fractions to partition shapes into halves, quarters, and thirds.(2.3.2.A2)

• Measurement, Data and Probability

• GRADE 2

• Measure and estimate lengths in standard units using appropriate tools.(2.4.2.A1)
• Tell and write time to the nearest five minutes.(2.4.2.A2)
• Solve problems using coins and paper currency.(2.4.2.A3)
• Represent and interpret data using line plots, picture graphs, and bar graphs.(2.4.2.A4)
• Extend the concepts of addition and subtraction to problems involving length.(2.4.2.A6)

PA Common Core Standards for Mathematical Practice

• Mathematical Practices

• Grade K-2

• Make sense of problems and persevere in solving them. (K2.1)
• Reason abstractly and quantitatively.(K2.2)
• Construct viable arguments and critique the reasoning of others. (K2.3)
• Model with mathematics. (K2.4)
• Use appropriate tools strategically. (K2.5)
• Attend to precision.(K2.6)
• Look for and make use of structure. (K2.7)
• Look for and express regularity in repeated reasoning. (K2.8)

Units

---

Unit #1 - M1: Sums & Differences to 100

Unit #2 - M2: Addition & Subtraction of Length Units

Unit #3 - M3: Place Value, Counting and Comparison of Numbers to 1,000

Unit #4 - M4:Addition & Subtraction Within 200 w/ Word Probs to 100

Unit #5 - M5: Addition & Subtraction Within 1,000 w/ Word Probs to 100

Unit #6 - M6: Foundations of Multiplication and Division

Unit #7 - M7: Problem Solving With Length, Money and Data

Unit #8 - M8: Time, Shapes, and Fractions as Equal Parts of Shapes

Course Resources

---

Eureka Math Module 1
100-bead Rekenrek
5-group column
Dice
Hide Zero cards (Lesson 2 Template 1)
Linking cubes
Number bond
Personal whiteboards
Place value chart
Quick ten (vertical line representing a unit of ten)
Ten-frame cards (Lesson 1 Fluency Template 1)

Eureka Math Module 2
Suggested Tools and Representations

Centimeter cubes
Centimeter rulers
Large and small paper clips
Meter sticks
Paper meter strips (Lesson 6 Template)
Personal white boards
Tape diagram

2 boxes of 1,000 straws per class of 25
Clock number line (details in Lesson 1 Fluency Practice)
Dice, 1 per pair
Dienes blocks
Hide Zero cards (also known as place value cards) showing numbers 1–5, 10–50, and 100—500 (1 small set per student) (Lesson 4 Template 1))
Hundreds place value chart (Lesson 4 Template 2)
Meter strip (Lesson 1 Template)
Number spelling activity sheet (Lesson 7 Activity Sheet)
Personal white boards
Place value box (details in Lesson 4 Concept Development)
Place value cards to 1,000, 1 large teacher set
Place value disks: suggested minimum of one set per pair (18 ones, 18 tens, 18 hundreds, and 1 one thousand)
Play money: $1, $5, $10, and $100 bills (10 ones, 1 five, 12 tens, and 10 hundreds per pair), and a single set of 16 pennies, 13 dimes
Rubber bands, 16 per pair
Small plastic bags (small resealable bags)

Arrow notation, arrow way
Chip model (pictured below)
Hide Zero cards
Number bond
Personal white boards
Place value charts (pictured above to the right)
Place value disk sets (19 ones, 19 tens, 10 hundreds, 1 one thousand per set)
Tape diagram

Eureka Math Module 5
Suggested Tools and Representations
Arrow notation, arrow way
Chip model (pictured below)
Hide Zero cards
Number bond
Personal white boards
Place value charts (pictured above to the right)
Place value disk sets (19 ones, 19 tens, 10 hundreds, 1 one thousand per set)
Tape diagram

Eureka Math Module 6
Suggested Tools and Representations
Counters
Number bond
Number path
Personal white board
Rectangular array
Square tiles

Eureka Math Module 7
Suggested Tools and Representations:
Bar graph (representation of data)
Centimeter cube
Centimeter ruler
Dice
Grid paper
Inch and centimeter ruler
Inch tiles
Line plot
Measuring tape
Meter stick
Money (i.e., dollars, coins)
Number bond
Number line
Personal white board
Picture graph
Table
Tape diagram
Yardstick

Eureka Math Module 8
Suggested Tools and Representations:

Cube: a three-dimensional shape (real-world examples such as a die, alphabet blocks, or a box)
Geoboards
Large instructional geared clock
Pattern blocks
Personal white boards
Rulers
Student clocks, preferably those with gears that can provide the appropriate hour-hand alignment
Tangrams
Toothpicks