Download Essential Question:

Name: Math Unit 3, 5th grade
KUD
Unit: Geometry Explorations – Oct 20-Nov. 20, 2010
U.E.Q.
How can I compare properties of basic figures?
Which standards/anchors are students learning in this unit?
M5.A.1.2; M5.C.1.1; M5.C.1.2; M5.C.2.1
By the end of this unit, students will be able to…..
Know:
I Understand THAT:
*types of angles
*place value to billion
*subtraction of whole numbers
and decimals
*types of triangles and properties
*properties of polygons
* relationships between angle
measures
*tessellations
*Types of charts
Do:
*determine angle measures
*identify place value to billions
* an angle determines the
properties of polygons
*Charts help organize data
* Compare place value
*compare properties of polygons
*draw tessellations
Key vocabulary
*read a chart
acute angle
adjacent
congruent
diameter
*identify types of angles
equilateral triangle
obtuse angle
radius
right angle
tessellation
vertical (opposite) angles
* use and review statistical
landmarks
*draw types of triangles
Lesson 1 – Data Collection and Organization 3.1, 3.2
Unit Essential Question: How can I compare properties of basic figures?
UEQ Answer: An angle determines the properties of polygons and helps me know if the
shapes are similar or different.
Lesson Essential Question:
Why is it important to collect data?
Answer: Collecting data gives me a more accurate amount of information.
What do students need to learn to be able to answer the Essential Question?
Assessment Prompt #1: Why does the US take a census?
Assessment Prompt #2: Why do we need to know past populations?
Assessment Prompt #3: Data interpretation from a chart?
Activating Strategy: Have the students complete the sample of the US Census
Questions.
-----------------------------------------------------------------------------------------------------------Key vocabulary to preview: census
Teaching Strategies: active instruction, pair/share, journal work, think/ink
Graphic Organizer: Vocabulary Chart
-----------------------------------------------------------------------------------------------------------Instruction:
Do activating strategy and then ask AP#1
AP #1: Why does the US take a census?
Have students begin to fill out student learning map with LEQ question.
Continue using your teacher’s guide and student journal pages 60-65. for lesson 3.1-3.2
AP #2: Why do we need to know past populations?
Go over data interpretation Math journal pages
Summarizing Strategy:
Answer LEQ
Lesson 2 – Exploring Angle Measures 3.3,
Unit Essential Question: How can I compare properties of basic figures?
Lesson Essential Question: How can I determine angle measures?
Answer: I can determine angle measures by using all the angles in a shape or knowing
the measure of a complete circle or straight angle.
What do students need to learn to be able to answer the Essential Question?
Assessment Prompt #1: demonstrate types of angles using one arm
Assessment Prompt #2: draw 3 types of angles
Assessment Prompt #3: try to find types of angles without protractor
Activating Strategy: Math Message
-----------------------------------------------------------------------------------------------------------Key vocabulary to preview: acute, obtuse, right, straight, and reflex angle, geometry
template, vertical and adjacent angles
Teaching Strategies: active instruction, pair/share, journal work
Graphic Organizer: Vocabulary Chart
-----------------------------------------------------------------------------------------------------------Instruction:
Begin the class by doing math message and then discuss using think/pair/share.
AP #1 – demonstrate right, acute, obtuse and straight angles using students arm.
Continue using your teacher’s guide and student journal pages 66-67 for lesson 3.3
AP #2: draw 3 types of angles
Have the students review their graphic organizer and make sure they complete them.
Continue with lesson
AP#3: try to find types of angles without protractor
Summarizing Strategy:
Answer the LEQ
Lesson 3 – Using a Protractor 3.4, 3.5
Unit Essential Question: How can I compare properties of basic figures?
Lesson Essential Question: How do I use a protractor to measure angles?
Answer: line up the center of the protractor with the vertex and the edge with the
bottom line and find the number the opposite line runs through based on if it is acute or
obtuse.
What do students need to learn to be able to answer the Essential Question?
Assessment Prompt #1: Identify types of protractors
Assessment Prompt #2: Measure angles using protractor
Assessment Prompt #3: solve for radius when given a diameter
Activating Strategy: Math Message
-----------------------------------------------------------------------------------------------------------Key vocabulary to preview: diameter, radius, protractor, compass
Teaching Strategies: active instruction, pair/share, journal work
Graphic Organizer: Vocabulary Chart
-----------------------------------------------------------------------------------------------------------Instruction:
Begin the class by doing math message and then discuss using think/pair/share.
AP #1 – Identify types of protractors
Continue using your teacher’s guide and student journal pages 68-71 for lesson 3.4
AP #2: Measure angles using protractor
Continue with lesson 3.5 pages 72-74.
Have the students review their graphic organizer and make sure they complete them.
AP#3: solve for radius when given a diameter
Summarizing Strategy:
Answer the LEQ
Lesson 4 – Properties of polygons 3.6, 3.7, 3.8
Unit Essential Question: How can I compare properties of basic figures?
Lesson Essential Question: How can I determine the name of a polygon?
Answer: The properties or characteristics of a polygon tell me which polygon it is.
What do students need to learn to be able to answer the Essential Question?
Assessment Prompt #1: identify 3 types of triangles
Assessment Prompt #2: How do I know a triangle is congruent
Assessment Prompt #3: Choose a polygon and list 2 of its properties
AP#4 – How do I know a polygon will tessellate?
Activating Strategy: Math Message
-----------------------------------------------------------------------------------------------------------Key vocabulary to preview: scalene, isosceles, equilateral, right, acute, obtuse,
tessellation, polygon, regular polygon.
Teaching Strategies: active instruction, pair/share, journal work
Graphic Organizer: Vocabulary Chart
-----------------------------------------------------------------------------------------------------------Instruction:
Begin the class by doing math message and then discuss using think/pair/share.
AP #1 – identify 3 types of triangles
Continue using your teacher’s guide and student journal pages 75-79 for lesson 3.6
AP #2: How do I know a triangle is congruent or similar to another triangle?
Continue using your teacher’s guide and student journal pages 80-81 for lesson 3.7 and
play polygon capture as EXTENDED THINKING ACTIVITY.
AP#3 – Choose a polygon and list 2 of its properties.
Have the students review their graphic organizer and make sure they complete them.
Continue with lesson 3.8 on journal pages 82-84.
AP#4 – How do I know a polygon will tessellate?
Extended Thinking Lesson
Continue with lesson 3.9 on journal pages 85-91 with finding measures of angles in
polygons without a protractor but using the sum of a polygons angles.
Continue with lesson 3.10 – using journal pages 92-97 reviewing polygon attributes.
Summarizing Strategy:
Answer the LEQ
Word/Vocabulary
census
Polygon
Acute angle
Obtuse angle
Straight angle
Reflex angle
Right angle
radius
diameter
Vertical angle
Adjacent angle
Acute triangle
Example/Picture
Explain
Properties or
attributes
Obtuse triangle
Right triangle
Equilateral
triangle
Scalene triangle
Isosceles triangle
Tessellation
Regular polygon
Topic: Angles and Polygons
Concept #3: Using a protractor
Unit Essential Question: How can I compare properties of basic figures?
Concept #1:
LEQ: How do I use a protractor to measure angles?
Answer: I can determine angle measures
by using all the angles in a shape or
knowing the measure of a complete circle
or straight angle.
Concept #2: Angle Measures
LEQ: Why is it important to collect data? LEQ: How can I determine angle
measures?
Answer: Collecting data helps me get
more accurate information – helps me
remember history.
Vocabulary: acute, obtuse, right, straight, Vocabulary:
and reflex angle, geometry template,
diameter, radius, protractor, compass
vertical and adjacent angles
Answer: line up the center of the protractor with the
vertex and the edge with the bottom line and find
the number the opposite line runs through based on
if it is acute or obtuse.
Vocabulary:
census
Concept #6
UEQ Answer: An angle determines the properties of polygons and helps me know if the shapes are similar or different.
Concept #4: Properties of polygons
LEQ
Concept #5:
LEQ: How can I determine the name of a LEQ:
polygon?
Answer
Vocabulary:
Vocabulary
Answer: The properties or characteristics Answer:
of a polygon tell me which polygon it is.
Vocabulary: scalene, isosceles,
equilateral, right, acute, obtuse,
tessellation, polygon, regular polygon.