2nd Grade Unit 5: Geometry, Partitioning, and Time

Unit Driving Question

Why would we divide something into equal parts?

Essential Questions

1. How do we compare different shapes?

2. Why would we divide something into equal parts?

3. What is measured when we tell time?

Big Ideas

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 the time of day.

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

Technology Resources

The following apps, websites, and smartboard lessons can be used throughout the unit, as needed, during small groups, lessons, to reinforce standards.  They are also useful for students who may need reinforcement, remediation, or differentiation.

Matherpiece Find the correct array!

Snappy Math - Multiplication with Arrays Learn to read an array and link the array with a multiplication and division equation.

Carl's Cookie Capers Build multiplication fluency with problem solving and models.

Curious George and Fair Shares Practice early division by dividing the treats fairly with the dogs.

Sharing Practice fair sharing.

Bedtime Bandits Students build fluency telling time on an analog clock to the hour, half hour, and quarter hour.

Analog Clock

Virtual Geoboard

Virtual Pattern Blocks

Slice Geometry Students use reasoning to partition shapes in equal pieces.

Online Angle Maker Compare angles with this virtual tool.

Launch Task

1 Lesson

• Would You Rather…?  Which bowl of grapes would you pick?  Explain your thinking.

Big Ideas for Development Lessons

4 Weeks (approximately 1 week per big idea)

Big Idea 1: Shapes are defined by their attributes.

Collaborative Engagement 

1. Which One Doesn’t Belong? - (Shapes 1, 2, and 3) I could see this as the beginning of a task, followed by inviting students to make their own WODB using shapes. When students are finished, look for student examples that could have more than one answer, and invite the class to find another solution.

Key Resources 

1. Constructing Rectangles- Students problem solve to create as many rectangles they can out of squares.
2. Classifying Shape- Students will problem solve to identify shape attributes with toothpicks and geoboards.
3. My Shape Riddle- Students will create shapes and describe their attributes to create a riddle. 

Big Idea Formative Assessment

1.  Classifying Quadrilaterals Assessment--This assessment has students identify and explain the attributes of shapes that classify the shape as a quadrilateral. Student Resource

Evidence of Understanding

• Describe the basic attributes of plane shapes

• Identify trapezoids and hexagons

• Compose larger shapes with squares, triangles, rhombi, trapezoids, and hexagons

   

Big Idea 2: Sets and shapes can be portioned into equal shares.

Collaborative Engagement 

1. Paper Cuts - “I Notice, I Wonder…” Students observe two rectangles being folded. Use the “I notice...I wonder to create a math conversation about fractions.

Key Resources 

1. Sharing Brownies Fairly - A lesson on fair sharing where students develop problem a conceptual understanding of fractions with a hands-on activity.
2.  Geoboard Fractions -Students create shapes and discover ways to create halves.
3. Name Fractions - This lesson is designed to introduce and give students practice with the concept of fractions as part of a set. 

This lesson is designed to introduce and give students practice with the concept of fractions as part of a set. 

Big Idea Formative Assessment

    1. What's Equal? - Students will examine squares and identify and explain which squares are portioned into equal parts. Student Resource

Evidence of Understanding

• Identify the parts of a set that represent the fractions of halves, thirds, and fourths.

• Identify the parts of an area that represent the fractions of halves, thirds, and fourths.

• Construct equal-sized portions through fair sharing.
  

   

Big Idea 3: Analog and digital clocks are used to tell the time of day.

Collaborative Engagement 

1. Grouchy Lessons of Time - Students explore the attributes of time using real clocks, both analog and digital.

Key Resources 

1. TV Shows - Students explore elapsed time.
2. Time Barrier Game -  Students practice using appropriate vocabulary to describe analog and digital clocks with a partner.

     3. Ordering Time - Students create a number line using clocks.

Big Idea Formative Assessment

    1. Measuring Time Task - Assessment on telling time on analog and digital clocks.          Resource

Evidence of Understanding

• Read time to the quarter hour on an analog and digital clock.

• Write time to the quarter hour using an analog and digital clock.

• Explain the difference between a.m. and p.m.
  

   

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

Collaborative Engagement 

1. Constructing Right Angles - Students will construct right angles using paper folding by creating perpendicular lines and examining the relationship between lines and angles.

Key Resources 

1. Find the Right Angle- Students will observe a picture and identify objects with right angles.
2. Right Angle Sorting- Students will sort objects into two groups, items with right angles and items without right angles. 
3. Right Angle Challenge- Using two lines, how many right angles can you make? One? Two? Is three possible? How many lines could do I need to use to make nine right angles?

Big Idea Formative Assessment

1. What creates a right angle?  How do we measure a right angle? Which angles are less than a right angle? Which angles are greater than a right angle? Right Angles Visual Assessment Right Angle Individual Assessment

Evidence of Understanding

• Identify a right angle

• Classify angles as larger or smaller than a right angle 

Unit Closure

1 Week (includes time for probes, re-engagement, and assessment)

• Field Day- Students will create a model of their school’s playground using shapes, angles, and constructing equal-sized portions through fair sharing