Unit

Overarching Question

Essential Questions

Big Ideas

Full Objectives

Unit 0: 

Growth Mindset

1. Math is about learning, not about performing.
2. Math is about making sense.
3. Math is filled with conjectures, creativity, and uncertainty.
4. Mistakes are beautiful things.

• Develop a deep and flexible conceptual understanding
• Develop accurate and appropriate procedural fluency
• Develop strategies for problem solving
• Develop mathematical reasoning
• Develop a productive mathematical disposition
• Develop the ability to make conjectures, model, and generalize
• Develop the ability to communicate mathematically 

Unit 1: Developing Place Value Concepts

Timing

5-6 weeks

Objectives

2.N.1.1

2.N.1.2

2.N.1.3

2.N.1.4

2.N.1.5

2.N.1.6

2.N.1.7

How does place value help us understand number relationships?

1. Why is the position of a digit important?

2. What is the relationship between the place of a digit and its value?

3. What are ways numbers can be represented?

4. How do numbers relate to one another?

1. Our number system is based on ten.

2. Numbers can be represented in many ways.

3. Place value helps compare and order numbers.

4. Compatible numbers aid in problem solving.

2.N.1.1 Read, write, discuss, and represent whole numbers up to 1,000. Representations should include, but are not limited to, numerals, words, pictures, tally marks, number lines, and manipulatives.

2.N.1.2 Use knowledge of number relationships to locate the position of a given whole number, up to 100, on an open number line.  

2.N.1.3 Use place value to describe whole numbers between 10 and 1,000 in terms of hundreds, tens, and ones, including written, standard, and expanded forms. Know that 10 is equivalent to 10 ones and 100 is equivalent to 10 tens. 

2.N.1.4 Find 10 more or 10 less than a given three-digit number. Find 100 more or 100 less than a given three-digit number. 

2.N.1.5 Use objects to determine whether a number is even or odd.  

2.N.1.6 Use place value understanding to round numbers to the nearest ten and nearest hundred (up to 1,000). Recognize when to round in real-world situations. 

2.N.1.7  Use place value to compare and order whole numbers up to 1,000 using comparative language, numbers, and symbols (e.g., 425 > 276, 73 < 107, page 351 comes after page 350, 753 is between 700 and 800).  

Unit 2: Applying Place Value to Patterns and Data

Timing

3-4 weeks

Objectives

2.A.1.1

2.A.1.2

2.D.1.1

2.D.1.2

2.D.1.3

2.D.1.4

How do patterns and graphs explain real-world situations?

1. What are the many ways to do amazing things with adding, subtracting, and multiplying

2. How can math be used in my world?

3. What can I contribute to math

4. How do you know when an answer is reasonable?

1. Patterns can be used to describe our world.

2. Patterns can repeat, grow, and shrink.

3. Patterns can be used to solve problems and predict what comes next.

4. Graphs represent and understand real-world data.

5. Graphs can be used to solve problems, predict what comes next, and make interpretations.

2.A.1.1 Represent, create, describe, complete, and extend increasing and decreasing patterns with quantity and numbers in a variety of contexts. 

2.A.1.2 Represent and describe repeating patterns involving shapes in a variety of contexts

2.D.1.1 Explain that the length of a bar in a bar graph and the number of objects in a pictograph represents the number of data points for a given category.

2.D.1.2 Organize a collection of data with up to four categories using pictographs and bar graphs in intervals of 1s, 2s, 5s or 10s.

2.D.1.3 Write and solve one-step word problems involving addition or subtraction using data represented within pictographs and bar graphs with intervals of one.

Unit 3:  Developing Place Value in Operations

Timing

5-6 weeks

Objectives

2.N.2.1

2.N.2.2

2.N.2.3

2.N.2.4

2.N.2.5

2.N.2.6

How does understanding place value aid in whole number operations?

1. What are the many ways to do amazing things with adding, subtracting, and multiplying?

2. How can math be used in my world?

3. What can I contribute to math?

4. How do you know when an answer is reasonable?

1. There are a variety of strategies for adding and subtracting numbers.

2. Real-world problems can have solutions based on addition and subtraction.

3. There are a variety of ways to represent multiplication.

4. Estimation is a strategy for solving problems.

2.N.2.1 Use the relationship between addition and subtraction to generate basic facts with sums and minuends of up to 20.

2.N.2.2 Demonstrate fluency with basic facts of addition and subtraction with sums and minuends of up to 20.

2.N.2.3 Estimate sums and differences up to 100.

2.N.2.4 Use strategies and algorithms based on knowledge of place value and equality to add and subtract two-digit numbers.

2.N.2.5 Solve addition and subtraction problems involving whole numbers up to two digits.

2.N.2.6 Use concrete models and structured arrangements, such as repeated addition, arrays, and ten frames to develop an understanding of multiplication.

Unit 4:  

Using Place Value in Algebraic Reasoning

Timing

3-4 weeks

Objectives

2.A.2.1

2.A.2.2

2.A.2.3

How do we use equivalence to describe our world?

1. How do we use math to describe our world?

2. How do numbers represent real-life situations?

3. How can we use patterns to understand properties in the number system?

1. A relationship exists between number sentences and other representations of numbers.

2. Number sentences represent real-world situations.

3. Properties help us find unknown values in number sentences.

2.A.2.1 Use objects and number lines to represent number sentences. 

2.A.2.2 Generate models and situations to represent number sentences and vice versa.

2.A.2.3 Apply the commutative property, identity property, and number sense to find values for unknowns that make addition and subtraction number sentences true or false.

Unit 5: Geometry, Partitioning, and Time

Timing

4 weeks

Objectives 

2.GM.1.1

2.GM.1.2

2.GM.1.3

2.GM.1.4

2.GM.1.5

2.GM.3.1

2.GM.3.2

2.N.3.1

2.N.3.2

Why would we divide something into equal parts?

1. How do we compare different shapes?

2. Why would we divide something into equal parts?

3. What is measured when we tell time?

1. Shapes are defined by their attributes.

2. Sets and shapes can be portioned into equal shares.

3. Analog and digital clocks are used to tell time of day.

4. Angles are varying sizes; some are smaller than right angles, and some are larger.

2.GM.1.1 Recognize regular and irregular trapezoids and hexagons.

2.GM.1.2 Describe, compare, and classify two-dimensional figures according to their geometric attributes.

2.GM.1.3 Compose and decompose two-dimensional shapes using triangles, squares, hexagons, trapezoids, and rhombi.

2.GM.1.4 Sort three-dimensional shapes based on attributes such as number of faces, vertices, and edges.

2.GM.1.5 Recognize right angles and classify angles as smaller or larger than a right angle.

2.GM.3.1 Distinguish between a.m. and p.m.

2.GM.3.2 Read and write time to the quarter hour on an analog and digital clock.

2.N.3.1 Identify the parts of a set and area that represent fractions for halves, thirds, and fourths.

2.N.3.2 Construct equal-sized portions through fair sharing (length, set, and area models for halves, thirds, and fourths).

Unit 6:

Money and Measurement

Timing

5-6 weeks

Objectives

2.N.4.1

2.N.4.2

2.GM.2.1

2.GM.2.2

2.GM.2.3 

How can we use multiple representations to make sense of the world?

1. How can we use multiple representations to make sense of the world?

2. How do we know if we have enough money to buy something?

3. What happens to measurement when you use a different unit?

4. How do containers of different size and shape hold the same amount?

1. Coins are part of a whole dollar.

2. Objects are measured in length.

3. Containers have capacity.

2.N.4.1 Determine the value of a collection of coins up to one dollar using the cent symbol.

2.N.4.2 Use a combination of coins to represent a given amount of money up to one dollar.

2.GM.2.1 Explain the relationship between the size of the unit of measurement and the number of units needed to measure the length of an object.

2.GM.2.2 Explain the relationship between length and the numbers on a ruler by using a ruler to measure lengths to the nearest whole unit.

2.GM.2.3 Explore how varying shapes and styles of containers can have the same capacity.

 Culminating Unit

Timing

2 weeks

How are multiplication and division related?

This unit is intended to stretch above second grade standards into third grade. Some of the tasks in this unit will use third grade standards to develop the connection between multiplication and division.  Each task will allow students to use manipulatives and models to problem solve.