+ All Categories
Home > Documents > Lesson 12.1

Lesson 12.1

Date post: 28-Feb-2023
Category:
Upload: khangminh22
View: 0 times
Download: 0 times
Share this document with a friend
32
point endpoints Unlock the Problem Unlock the Problem Name Chapter 12 697 © Houghton Mifflin Harcourt Publishing Company Some plane shapes are made by connecting line segments at their endpoints. One example is a square. Describe a square using math words. A square has _ line segments. The line segments meet only at their ___. Think: How many line segments and endpoints does a square have? Describe Plane Shapes Essential Question What are some ways to describe two-dimensional shapes? An architect draws plans for houses, stores, offices, and other buildings. Look at the shapes in the drawing at the right. A plane shape is a shape on a flat surface. It is formed by points that make curved paths, line segments, or both. point is an exact position or location endpoints points that are used to show segments of lines line • is a straight path continues in both directions • does not end line segment • is straight • is part of a line has 2 endpoints Lesson 12.1 ray • is straight • is part of a line • has 1 endpoint continues in one direction Math Talk Math Processes and Practices 3 Apply Why can you not measure the length of a line? Learning Objective You will describe the attributes of two-dimensional shapes and write whether a shape is open or closed.
Transcript

point

endpoints

Unlock the ProblemUnlock the Problem

Name

Chapter 12 697

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Some plane shapes are made by connecting line segments at their endpoints. One example is a square. Describe a square using math words.

A square has _ line segments. The line

segments meet only at their ___.

Think: How many line segments and endpoints does a square have?

Describe Plane ShapesEssential Question What are some ways to describe two-dimensional shapes?

An architect draws plans for houses, stores, offices, and other buildings. Look at the shapes in the drawing at the right.

A plane shape is a shape on a flat surface. It is formed by points that make curved paths, line segments, or both.

point• is an exact position

or location

endpoints• points that are used

to show segments of lines

line• is a straight path

• continues in both directions

• does not end

line segment• is straight

• is part of a line

• has 2 endpoints

Lesson 12.1

ray• is straight • is part of a line • has 1 endpoint • continues in one direction

MathTalk Math Processes and Practices 3

Apply Why can you not measure the length of a line?

Learning Objective You will describe the attributes of two-dimensional shapes and write whether a shape is open or closed.

DO NOT EDIT--Changes must be made through “File info” CorrectionKey=A

width

length

HandsOn

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

698

•   Is the plane shape at the right a closed shape or an open shape? Explain how you know.

Plane shapes have length and width  but no thickness, so they are also called  two-dimensional shapes. 

Try This!  Draw plane shapes. 

A closed shape starts and ends at the same point.

In the space below, draw more examples of closed shapes.

An open shape does not start and end at the same point.

In the space below, draw more examples of open shapes.

Plane shapes can be open or closed.

MathTalk Math Processes and Practices 6

Explain whether a shape with a curved path must be a closed shape, an open shape, or can be either.

DO NOT EDIT--Changes must be made through “File info” CorrectionKey=A

On Your OwnOn Your Own

Share and ShowShare and Show MATHBOARDMATHBOARD

Name©

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Chapter 12 • Lesson 1 699

1. Writehowmanylinesegments

theshapehas.___

Circle all the words that describe the shape.

Write whether the shape is open or closed.

Write how many line segments the shape has.

Write whether the shape is open or closed.

2.

ray

point

3.

openshape

closedshape

4.

openshape

closedshape

5.

line

linesegment

6. 7. 8. 9.

10.

__ linesegments

11.

__ linesegments

12.

__ linesegments

13.

__ linesegments

14.

15.

16.

17.

MathTalk Math Processes and Practices 1

Describe  How do you know whether a shape is open or closed?

DO NOT EDIT--Changes must be made through “File info” CorrectionKey=A

Problem SolvingProblem Solving

Name©

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

nyLesson 12.1

Practice and Homework

Describe Plane Shapes

Write how many line segments the shape has.

Write whether the shape is open or closed.

5. Carlwantstoshowaclosedshapeinhisdrawing.Showandexplainhowtomakethedrawingaclosedshape.

6. Theshapeofafishpondataparkisshownbelow.Istheshapeopenorclosed?

_______

Chapter 12 701

1.

_ linesegments

2.

_ linesegments

3.

_____

4.

_____

4

7. WRITE Math Drawanopenshapeandaclosedshape.Labelyourshapes.

Learning Objective You will describe the attributes of two-dimensional shapes and write whether a shape is open or closed.

DO NOT EDIT--Changes must be made through “File info” CorrectionKey=A

Vocabulary

1

You can identify shapes.

sphere cube cylinder

All of these shapes are spheres.

All of these shapes are cubes.

All of these shapes are cylinders.

1. Color each red.

2. Color each green.

Name

Identify Three-Dimensional Shapes

Skill 26

sphere

cube

cylinder

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Response to Intervention • Tier 2 IN111

Skill 26

1. Color each yellow.

How many did you color? cylinders

2. Color each blue.

3. Color each orange.

4. Color each brown.

5. Find a in the classroom. Draw the object you found.

RememberDecide which objects look like each three-dimensional shape.

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

IN112 Response to Intervention • Tier 2

Unlock the ProblemUnlock the Problem

Name

Chapter 12 709

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

Lesson 12.3

Try This!

Fill in the blanks with sometimes, always, or never.

Identify PolygonsEssential Question How can you use line segments and angles to make polygons?

connect In earlier lessons, you learned about line segments and angles. In this lesson, you will see how line segments and angles make polygons.

A polygon is a closed plane shape that is made up of line segments that meet only at their endpoints. Each line segment in a polygon is a side.

A

plane shape

open shape

closed shape

curved paths

line segments

polygon

B

plane shape

open shape

closed shape

curved paths

line segments

polygon

C

plane shape

open shape

closed shape

curved paths

line segments

polygon

D

plane shape

open shape

closed shape

curved paths

line segments

polygon

All polygons are closed shapes. Not all closed shapes are polygons.

Polygons are __ plane shapes.

Polygons are __ closed shapes.

Polygons are __ open shapes.

Plane shapes are ___ polygons.

Circle all the words that describe the shape.

MathTalk Math Processes and Practices 2

Reason Abstractly Why are not all closed shapes polygons?

Learning Objective You will use line segments and angles to name and describe polygons by telling the number of sides and the number of angles a shape has.

DO NOT EDIT--Changes must be made through “File info” CorrectionKey=A

angle

side

Share and ShowShare and Show MATHBOARDMATHBOARD

© H

ough

ton

Miff

lin H

arco

urt P

ublis

hing

Com

pany

710

Name Polygons  Polygons are named by the number of sides and angles they have.

How many sides does the stop sign have? __

How many angles? __

So, a stop sign is in the shape of an __.

Some traffic signs are in the shape of polygons. A stop sign is in the shape of which polygon?

Count the number of sides and angles.

triangle

3 sides

3 angles

quadrilateral

4 sides

_ angles

pentagon

_ sides

5 angles

hexagon

_ sides

6 angles

octagon

8 sides

_ angles

decagon

_ sides

10 angles

1.  The shape at the right is a polygon. Circle all the words that describe the shape.

plane shape       open shape      closed shape    pentagon

curved paths    line segments       hexagon    quadrilateral

MathTalk Math Processes and Practices 8

Generalize Compare the number of sides and angles. What is a true statement about all polygons?

DO NOT EDIT--Changes must be made through “File info” CorrectionKey=A

On Your OwnOn Your Own

Name©

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

ny

Chapter 12 • Lesson 3 711

Is the shape a polygon? Write yes or no.

Is the shape a polygon? Write yes or no.

Write the number of sides and the number of angles. Then name the polygon.

Write the number of sides and the number of angles. Then name the polygon.

2.

___

3.

___

4.

___

8.

___

9.

___

10.

___

5.

_sides

_angles

___

6.

_sides

_angles

___

7.

_sides

_angles

___

11.

_sides

_angles

___

12.

_sides

_angles

___

13.

_sides

_angles

___

MathTalk Math Processes and Practices 3

Apply  How can you change the shape in Exercise 4 to make it a polygon?

DO NOT EDIT--Changes must be made through “File info” CorrectionKey=A

Problem SolvingProblem Solving

Name©

Hou

ghto

n M

ifflin

Har

cour

t Pub

lishi

ng C

ompa

nyLesson 12.3

Practice and Homework

Identify Polygons

Is the shape a polygon? Write yes or no.

Write the number of sides and the number of angles. Then name the polygon.

5. Mr.Murphyhasanoldcointhathastensides.Ifitsshapeisapolygon,howmanyanglesdoestheoldcoinhave?

6. Linsaysthatanoctagonhassixsides.Chrissaysthatithaseightsides.Whosestatementiscorrect?

1.

_

2.

_

3.

_sides

_angles

_____

4.

_sides

_angles

_____

Chapter 12 713

no

7. WRITE Math Drawapentagon.Explainhowyouknewthenumberofsidesandanglestodraw.

Learning Objective You will use line segments and angles to name and describe polygons by telling the number of sides and the number of angles a shape has.

DO NOT EDIT--Changes must be made through “File info” CorrectionKey=A

Name

Circle the objects that match the shape name.

cuberectangular prism

Three-Dimensional Shapes

Three-dimensional objects come in different shapes.

sphere cone cylinder

1. rectangular prism

2. cylinder

3. cone

Lesson 11.1Reteach

11-5 ReteachChapter Resources© Houghton Mifflin Harcourt Publishing Company

Two sides meetat an edge.

A vertex isa corner.

A face is a flat side.

Name

faces, edges, vertices

cube

8126

Attributes of Three-Dimensional Shapes

Write how many for each.

faces edges vertices

1.

2.

rectangular prism

Lesson 11.2Reteach

11-7 ReteachChapter Resources© Houghton Mifflin Harcourt Publishing Company

What is a Magnetic Field?

What is a magnetic field? How can we measure it and see its forces?

“A magnetic field is the area around a magnet, magnetic object, or an electric charge in

which magnetic force is exerted.”

Huh?

Let’s put it this way. The invisible area around a magnetic object that can pull or push

another object is called a magnetic field. It’s kind of like those invisible “force fields”

that surround an object with invisible power in movies.

Sounds like magic, right? So how does it work?

Retrieved and adapted by ELA Instructional Coaching Team (JPSD 86) on 11.16.17 from http://www.dowlingmagnets.com/blog/2015/what-is-a-magnetic-field/ (3-PS2-3)

What makes a magnetic field?

Magnetic fields are created by moving electric charge. When electrons, which have a

negative charge, move around in certain ways, a magnetic field can be created. These

fields can be created inside magnetic objects. This is called electromagnetism.

How do we measure a magnetic field?

We measure a magnetic field by its strength and by the direction it points.

Every magnetic field is a bit different. Some magnetic fields are large, some are strong,

some are small, and some are weak. For example, the Earth’s magnetic field is large,

but weak.

How close or far away an object is really counts in magnetism. The closer you stand to

a magnet, the stronger the magnetic field will be. The farther away you are from a

magnet, the weaker the magnetic field becomes. A magnetic field never ends. It

simply gets weaker and weaker the farther away you go!

Suppose you set a paperclip on a table. If you were to hold a magnet and stand on the

other side of the room from the table, the paperclip would respond to the magnetic field

around the magnet. The response would be very, very weak. However, if you were to

walk closer, place the magnet on the table, and slide it toward the paperclip, there

would be a point where the paperclip would jump off the table and fly through the air to

the magnet! At that point, the magnetic field would be strong enough to overcome the

forces of gravity and friction which were preventing the paperclip from moving before.

(This is also a great example of how magnetic forces can cause motion!)

Retrieved and adapted by ELA Instructional Coaching Team (JPSD 86) on 11.16.17 from http://www.dowlingmagnets.com/blog/2015/what-is-a-magnetic-field/ (3-PS2-3)

Giant Horseshoe Magnet attracting a paperclip

How can we “see” the forces in a magnetic field?

Sometimes we draw field lines to show the direction of the forces at different locations

within a magnetic field. Field lines exit the magnet at its north pole, travel around in the

air, and re-enter the magnet through its south pole. Field lines don’t start in one place

and stop in another; magnets travel in “closed paths,” which means they will continue to

travel the same path again and again.

Retrieved and adapted by ELA Instructional Coaching Team (JPSD 86) on 11.16.17 from http://www.dowlingmagnets.com/blog/2015/what-is-a-magnetic-field/ (3-PS2-3)

Magnetic field lines around a bar magnet

Retrieved and adapted by ELA Instructional Coaching Team (JPSD 86) on 11.16.17 from http://www.dowlingmagnets.com/blog/2015/what-is-a-magnetic-field/ (3-PS2-3)

Unbalanced Forces A game of tug-of-war can be fun! Both team’s members hold the rope tightly in their hands. The rope stays in one place as both teams pull with all their might. When the two teams pull in opposite directions with the same force, the net force is zero. The forces on the rope are balanced. Now the women on the right pull with more force than the men on the left. The rope is moved to the right, the direction in which the women are pulling. The forces on the rope are unbalanced. Unbalanced forces cause an object to move.

When forces are unbalanced, they no longer add up to zero. In this case, the net force is to the right, and the rope is moved to the right.

Text adapted from National Geographic Learning-Exploring Science

Text adapted from National Geographic Learning-Exploring Science

Types of Interactions

Changing Direction

Athletes use forces in games of all types. A skilled player can control every motion of the

ball. The player uses forces to start the ball moving, changing it’s direction and speed.

A strong force will cause the ball to move faster than a weak force. He uses just the right

force in the right direction to move the ball over the net.

Think of the force you would need to move this ball over the net. Would you need a push

or a pull? How strong of a force would you need? In which direction would you apply the

force?

Patterns of Motion

Some motion is hard to predict. For instance, it is hard to know exactly where a leaf

blowing in the wind might land. But some motion follows a pattern.

When motion follows a pattern, it is easier to predict future motion. Regular motion has

a pattern of repeating over and over. A swing has regular motion. Swings move back and

forth, over and over.

Text adapted from National Geographic Learning- Exploring Science

Types of Interactions

Electric and Magnetic Forces

Magnets

Have you ever dipped a magnet into a pile of paper clips? If you have, you saw that the

paper clips stuck to the magnet. That’s because magnets pull on certain kinds of

metals. Magnets also pull on, or attract, other magnets. The pull a magnet exerts is

called magnetic force. A magnet doesn’t have to touch a paper clip to exert a magnetic

force on it. The magnet just has to be close enough to the clip for the magnetic force to

affect it.

The places on a magnet where the pull is strongest are called poles. There are two kinds

of poles-north (N) and south (S). The north pole of one magnet attracts the south pole of

another magnet. Two north poles or two south poles repel, or push each other apart.

The magnetic force of this

magnet is strong enough to

keep these objects from

falling.

Text adapted from National Geographic Learning- Exploring Science

Electric Forces

The tiny particles that make up matter can have an electric charge. Electric charges also

exert forces. There are two kinds of charges-positive and negative. In electric forces,

opposite charges attract and like charges repel. Like magnets, electrically charged

objects don’t have to touch other objects to act on them.

Some objects become charged after they contact certain materials. An electric charge

that builds up on an object is called static electricity. You might have experienced

static electricity when taking off a shirt made your hair crackle and stand on end!

The balloon and the cat’s fur

have opposite electric charges.

Name: _____________________ Date: ____________

Unbalanced Forces

Directions: Write 2 sentences about a push activity you did at

home and 2 sentences about a pull activity at home.

Example: I pushed in the chair at the dinner table.

Example: I pulled out the garbage cans and put them at the end of

the driveway.

_____________________________________________________

_____________________________________________________

_____________________________________________________

_____________________________________________________

_____________________________________________________

Name: _____________________ Date: ____________

Types of Interactions

Directions: Read the article “Types of Interactions” and fill in the

blanks.

1. Athletes use _____________ in games of all types.

2. Players use forces to ________ the ball ___________, changing

its __________ and ____________.

3. A ________ force will cause the ball to move _________ than a

weak force.

4. Motion follows a ____________________.

5. _________ motion has a pattern of repeating over and over.

6. A __________ has regular motion.

Name: _____________________ Date: ____________

Electric and Magnetic Forces

Directions: Write a prediction about how magnets can be used. Use

this sentence starter: Magnets can be used for _______.

_____________________________________________________

_____________________________________________________

_____________________________________________________

_____________________________________________________

_____________________________________________________

Name: _____________________ Date: ____________

What is A Magnetic Field?

Directions: Write a prediction about how you think magnets work.

Here is a sentence starter to use: I think magnets work by….

_____________________________________________________

_____________________________________________________

_____________________________________________________

_____________________________________________________

_____________________________________________________

The Magnet Maze Whether it is on a refrigerator in the kitchen, a toy at home, or a latch on a door, 

children love playing with magnets. Magnets provide young learners an 

opportunity to explore invisible forces in their world, such as attraction and 

repulsion, and ignite curiosity as they attempt to understand how they work. In 

this experiment, students will have an opportunity to explore some of the 

properties of magnets, and use their knowledge to guide a paper clip through a 

maze.  Materials

Magnets Paper clips Maze template (included below) Cardboard (8.5”x 11”) Glue Scissors Metal samples (i.e.: aluminum foil, stainless steel spoon, pennies, steel

pot, etc.) Non-metal samples (i.e.: wooden ruler, plastic container, Styrofoam cup,

rock, hand-held mirror, etc.) Directions

1) Print out a copy of the maze for each student. Each person should 

receive at least two magnets and one paper clip for the experiment.  

2) Cut out maze template and glue to cardboard base. 

3) Pass out metal and non‐metal samples to groups of students. Everyone 

can share the samples and take turns using them among the groups. 

4) Have each student test what kinds of materials magnets are attracted 

to by placing a magnet on the metal and non‐metal samples and 

investigating whether they attract to one another.  

 

 

 

 

 

5) Once students determine what kinds of materials magnets attract to 

(only certain metals), have them test magnets with other magnets. 

They should look for a way to bring the magnets together that will 

result in both a pushing and pulling force.  

6) Now that students have investigated some of the qualities of magnets, 

it is time for the magnet maze. Start by placing one paper clip at the 

“start” point. 

7) Working in pairs, have one student hold the maze level, while the 

other student holds a magnet underneath the maze and presses it flush 

against the cardboard where the paper clip is resting. 

8) Carefully slide the magnet across the bottom of the cardboard to help 

guide the paper clip through the maze. 

9) Once the students complete the maze, the pair can switch roles so that 

both students have an opportunity to solve the maze and feel the 

attractive force between the paper clip and the magnet through the 

cardboard.   

  Background Information All magnets have magnetic fields because the molecules in them have moving 

electrons, which create an electric current, and according to Maxwell’s Equations, 

moving electric charges will create a magnetic field. Basically, each atom acts like 

an electromagnet. Although this magnetic field is invisible, it can be detected by 

investigating the North and South poles of a magnet, which are produced when 

the magnetic fields align in the same way. When two like‐poles come into contact 

with one another, they repel. Conversely, when two unlike‐poles come into 

contact with one another, they attract. As a result, students will notice that when 

they bring their magnets close to one another, they will either push apart or pull 

towards one another, depending on how they orient the poles. 

 

Magnets will also attract to certain kinds of metals, such as iron, nickel, steel, and 

cobalt. These metals belong to a group called ferromagnetic metals, which can be 

made to act like a magnet when an actual magnet is brought near. Since the 

magnetic fields are often very strong, magnets will still attract to these metals 

even if they are separated by another material (i.e.: cardboard). The important 

thing is not that the magnet and ferromagnetic metal touch one another, but that 

their magnetic fields are close enough to come in contact with one another. 

 

As students work through this activity, they will be able to observe these 

characteristics of magnets and metals in action, but a more advanced 

understanding of what is going on the molecular level is better suited for older 

grades. The inclusion of the maze activity will help young learners combine their 

learning about magnets with the development of problem‐solving skills, as well 

as aid them in the development of hand muscles for their writing skills. 

Students will explore balanced and unbalanced 

forces using a cotton ball, straw and track. 

Students will draw a race track on a piece of paper. 

Using the straw, blow the cotton ball around their 

constructed/drawn track. (Students will determine 

that force is needed to make the cotton ball race 

around the track.) 

● Additional ideas for materials: bouncy ball, 

pencil, feather, marble, etc.   

VocabularyPractice these words with your child before or during the lesson:

• Nervous: alarmed or feeling worried

• Anxious: feeling worried or nervous, typically about something that might happen or something that is uncertain

• Handle: to deal with someone or something

• Manage: to handle calmly

• Recognize: to know someone or something from having seen that person or thing before

After the Lesson • Work with your child to complete the lesson Home Link.

• Notice when your child is having strong emotions and encourage them to notice how their body feels at that time.

Daily PracticeTry doing these activities with your child to help reinforce what they’ve learned:

• Play Frozen Feelings Factory with challenges.

• Review the hand-brain activity from the Home Link with your child.

• Have your child practice the “Calm It Down” dance.

GRADE

3Lesson 11: Introducing Emotion Management

What Is My Child Learning?Your child is learning to focus attention on their body for clues about how they’re feeling.

Why Is This Important?Thinking about feelings helps the thinking part of your child’s brain start to get back in control. This helps your child manage strong feelings.

1 G R A D E 3 L E S S O N 1 1 I N F O @ S E C O N D S T E P. O R G 2 0 2 0 C O M M I T T E E F O R C H I L D R E N # 1 2 4 1

Create a Second Step Account1. Go to www.secondstep.org

2. Under New Users, click “Create Account”

3. Complete the required fields

4. Add Program Activation Key: SSP3 FAMI LY73

The Second Step Family Resources (individually or together, the “Resource”) are for educational use only by parents, families, and teachers with students currently learning online due to the impact of COVID-19. Each Resource has been created by Committee for Children, and all intellectual property and other property rights, including copyright, are owned and controlled by Committee for Children. Your use of a Resource does not create any ownership interest or other rights in the Resource or any of its contents or elements. Neither the Resource nor its contents or elements may be copied, performed, modified, distributed, downloaded, posted, or shared with or given to sold to anyone else or used for any noneducational purpose. Additional terms and conditions may apply, as indicated for a particular resource. © Committee for Children 2020

Second Step is a registered trademark of Committee for Children

2 G R A D E 3 L E S S O N 1 1 I N F O @ S E C O N D S T E P. O R G 2 0 2 0 C O M M I T T E E F O R C H I L D R E N # 1 2 4 1


Recommended