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Transcript
Exploring Our World through Geometry
Planning Calendar
Each Day represents a 45-minute class period
Day 1
Day 2
Day 3
Day 4
Lesson 1: For Bigger or Smaller
Lesson 1: For Bigger or Smaller
Lesson 1: For Bigger or Smaller
Lesson 1: For Bigger or Smaller
F.Q. What occurs mathematically
F.Q. What occurs mathematically
F.Q. What occurs mathematically
F.Q. What occurs mathematically
when something is enlarged or
reduced on a copy machine?
How do architects draw things
that are very large or very small
so construction companies can
build them accurately? Do
architects use the same scale
factor for every blueprint they
create? Why are scale drawings
necessary?
when something is enlarged or
reduced on a copy machine?
How do architects draw things
that are very large or very small
so construction companies can
build them accurately? Do
architects use the same scale
factor for every blueprint they
create? Why are scale drawings
necessary?
when something is enlarged or
reduced on a copy machine?
How do architects draw things
that are very large or very small
so construction companies can
build them accurately? Do
architects use the same scale
factor for every blueprint they
create? Why are scale drawings
necessary?
when something is enlarged or
reduced on a copy machine?
How do architects draw things
that are very large or very small
so construction companies can
build them accurately? Do
architects use the same scale
factor for every blueprint they
create? Why are scale drawings
necessary?
Mathematical Practices: 1, 4, 8
Mathematical Practices: 1, 4, 8
Mathematical Practices: 1, 4, 8
Mathematical Practices: 1, 4, 8
Day 5
Lesson 1: For Bigger or Smaller
Day 6
Day 7
Lesson 2: How Many Triangles?
Day 8
Lesson 2: How Many Triangles?
Lesson 2: How Many Triangles?
F.Q. What occurs mathematically
F.Q.: Why is it possible that some
when something is enlarged or
reduced on a copy machine?
How do architects draw things
groups of three segments form a
triangle, while other groups of
three segments do not form a
F.Q.: Why is it possible that some
F.Q.: Why is it possible that some
groups of three segments form a
triangle, while other groups of
groups of three segments form a
triangle, while other groups of
three segments do not form a
that are very large or very small
so construction companies can
build them accurately? Do
architects use the same scale
factor for every blueprint they
create? Why are scale drawings
necessary?
triangle? How can you construct
a triangle with given conditions?
What is the relationship between
angles and sides of a triangle?
three segments do not form a
triangle? How can you construct
a triangle with given conditions?
What is the relationship between
angles and sides of a triangle?
Mathematical Practices:1, 2, 3, 8
triangle? How can you construct
a triangle with given conditions?
What is the relationship between
angles and sides of a triangle?
Mathematical Practices:1, 2, 3, 8
Mathematical Practices:1, 2, 3, 8
Mathematical Practices: 1, 4, 8
Day 9
Day 10
Day 11
Day 12
Lesson 2: How Many Triangles?
Lesson 2: How Many Triangles?
Lesson 2: How Many Triangles?
Lesson 2: How Many Triangles?
F.Q.: Why is it possible that some
F.Q.: Why is it possible that some
F.Q.: Why is it possible that some
F.Q.: Why is it possible that some
groups of three segments form a
triangle, while other groups of
three segments do not form a
triangle? How can you construct
a triangle with given conditions?
What is the relationship between
angles and sides of a triangle?
groups of three segments form a
triangle, while other groups of
three segments do not form a
triangle? How can you construct
a triangle with given conditions?
What is the relationship between
angles and sides of a triangle?
groups of three segments form a
triangle, while other groups of
three segments do not form a
triangle? How can you construct
a triangle with given conditions?
What is the relationship between
angles and sides of a triangle?
groups of three segments form a
triangle, while other groups of
three segments do not form a
triangle? How can you construct
a triangle with given conditions?
What is the relationship between
angles and sides of a triangle?
Mathematical Practices:1, 2, 3, 8
Mathematical Practices:1, 2, 3, 8
Mathematical Practices:1, 2, 3, 8
Mathematical Practices:1, 2, 3, 8
Day 13
Day 14
Day 15
Day 16
Lesson 2: How Many Triangles?
F.Q.: Why is it possible that some
groups of three segments form a
triangle, while other groups of
three segments do not form a
triangle? How can you construct
a triangle with given conditions?
What is the relationship between
angles and sides of a triangle?
Lesson 3: Slicing It Up!
Lesson 3: Slicing It Up!
Lesson 3: Slicing It Up!
F.Q. What happens when we cut
F.Q. What happens when we cut
F.Q. What happens when we cut
horizontally and vertically
through sections of geometric
solids? What two – dimensional
shapes will develop from these
cross sections?
horizontally and vertically
through sections of geometric
solids? What two – dimensional
shapes will develop from these
cross sections?
horizontally and vertically
through sections of geometric
solids? What two – dimensional
shapes will develop from these
cross sections?
Mathematical Practices: 1, 7
Mathematical Practices: 1, 7
Mathematical Practices: 1, 7
Mathematical Practices:1, 2, 3, 8
Day 17
Lesson 4: Easy as Pie?
F.Q. How did mathematics from
long ago help to make new
discoveries? Can you use the
area of a circle to find the
circumference? Can you use the
circumference of a circle to find
the area?
Mathematical Practices: 1, 3, 5, 8
Day 18
Day 19
Lesson 4: Easy as Pie?
Lesson 4: Easy as Pie?
F.Q. How did mathematics from
F.Q. How did mathematics from
long ago help to make new
discoveries? Can you use the
area of a circle to find the
circumference? Can you use the
circumference of a circle to find
the area?
long ago help to make new
discoveries? Can you use the
area of a circle to find the
circumference? Can you use the
circumference of a circle to find
the area?
Mathematical Practices: 1, 3, 5, 8
Mathematical Practices: 1, 3, 5, 8
Day 20
Lesson 4: Easy as Pie?
F.Q. How did mathematics from
long ago help to make new
discoveries? Can you use the
area of a circle to find the
circumference? Can you use the
circumference of a circle to find
the area?
Mathematical Practices: 1, 3, 5, 8
Day 21
Day 22
Day 23
Day 24
Lesson 4: Easy as Pie?
Lesson 4: Easy as Pie?
Lesson 4: Easy as Pie?
Lesson 4: Easy as Pie?
F.Q. How did mathematics from
F.Q. How did mathematics from
F.Q. How did mathematics from
F.Q. How did mathematics from
long ago help to make new
discoveries? Can you use the
area of a circle to find the
circumference? Can you use the
circumference of a circle to find
the area?
long ago help to make new
discoveries? Can you use the
area of a circle to find the
circumference? Can you use the
circumference of a circle to find
the area?
long ago help to make new
discoveries? Can you use the
area of a circle to find the
circumference? Can you use the
circumference of a circle to find
the area?
long ago help to make new
discoveries? Can you use the
area of a circle to find the
circumference? Can you use the
circumference of a circle to find
the area?
Mathematical Practices: 1, 3, 5, 8
Mathematical Practices: 1, 3, 5, 8
Mathematical Practices: 1, 3, 5, 8
Mathematical Practices: 1, 3, 5, 8
Day 25
Day 26
Day 27
Day 28
Lesson 5: Tangled Up in Angles
Lesson 5: Tangled Up in Angles
Lesson 5: Tangled Up in Angles
Lesson 5: Tangled Up in Angles
F.Q. What relationships can be
F.Q. What relationships can be
F.Q. What relationships can be
F.Q. What relationships can be
determined by the angles formed
when parallel lines are cut by a
transversal?
determined by the angles formed
when parallel lines are cut by a
transversal?
determined by the angles formed
when parallel lines are cut by a
transversal?
determined by the angles formed
when parallel lines are cut by a
transversal?
Mathematical Practices: 1, 2, 6, 8
Mathematical Practices: 1, 2, 6, 8
Mathematical Practices: 1, 2, 6, 8
Mathematical Practices: 1, 2, 6, 8
Day 29
Day 30
Day 31
Day 32
Lesson 5: Tangled Up in Angles
Lesson 5: Tangled Up in Angles
F.Q. What relationships can be
F.Q. What relationships can be
determined by the angles formed
when parallel lines are cut by a
transversal?
determined by the angles formed
when parallel lines are cut by a
transversal?
Mathematical Practices: 1, 2, 6, 8
Mathematical Practices: 1, 2, 6, 8
Day 33
Day 34
Lesson 6: Many Faces of
Measurement
Lesson 6: Many Faces of
Measurement
F.Q. What is the difference
F.Q. What is the difference
between area and surface area?
What is the relationship between
surface area and volume?
between area and surface area?
What is the relationship between
surface area and volume?
Mathematical Practices: 1, 6, 8
Mathematical Practices: 1, 6, 8
Day 35
Day 36
Lesson 6: Many Faces of
Measurement
Lesson 6: Many Faces of
Measurement
Lesson 6: Many Faces of
Measurement
Lesson 6: Many Faces of
Measurement
F.Q. What is the difference
F.Q. What is the difference
F.Q. What is the difference
F.Q. What is the difference
between area and surface area?
What is the relationship between
surface area and volume?
between area and surface area?
What is the relationship between
surface area and volume?
between area and surface area?
What is the relationship between
surface area and volume?
between area and surface area?
What is the relationship between
surface area and volume?
Mathematical Practices: 1, 6, 8
Mathematical Practices: 1, 6, 8
Mathematical Practices: 1, 6, 8
Mathematical Practices: 1, 6, 8
Day 37
Day 38
Day 39
Day 40
Lesson 6: Many Faces of
Measurement
Lesson 6: Many Faces of
Measurement
Lesson 6: Many Faces of
Measurement
Lesson 6: Many Faces of
Measurement
F.Q. What is the difference
F.Q. What is the difference
F.Q. What is the difference
F.Q. What is the difference
between area and surface area?
What is the relationship between
surface area and volume?
between area and surface area?
What is the relationship between
surface area and volume?
between area and surface area?
What is the relationship between
surface area and volume?
between area and surface area?
What is the relationship between
surface area and volume?
Mathematical Practices: 1, 6, 8
Mathematical Practices: 1, 6, 8
Mathematical Practices: 1, 6, 8
Mathematical Practices: 1, 6, 8
Day 41
Lesson 6: Many Faces of
Measurement
Day 42
Day 43
Lesson 6: Many Faces of
Measurement
F.Q. What is the difference
F.Q. What is the difference
between area and surface area?
What is the relationship between
surface area and volume?
between area and surface area?
What is the relationship between
surface area and volume?
Capstone: Unit 4
Capstone: Unit 4
F.Q. How is geometry used
F.Q. How is geometry used
everyday? How is it useful to me? everyday? How is it useful to me?
Mathematical Practices: 1, 4, 6
Mathematical Practices: 1, 6, 8
Day 45
Day 44
Mathematical Practices: 1, 4, 6
Mathematical Practices: 1, 6, 8
Day 46
Day 47
Day 48
Capstone: Unit 4
Capstone: Unit 4
Capstone: Unit 4
Capstone: Unit 4
F.Q. How is geometry used
F.Q. How is geometry used
F.Q. How is geometry used
F.Q. How is geometry used
everyday? How is it useful to me? everyday? How is it useful to me?
everyday? How is it useful to me? everyday? How is it useful to me?
Mathematical Practices: 1, 4, 6
Mathematical Practices: 1, 4, 6
Day 49
Capstone: Unit 4
Mathematical Practices: 1, 4, 6
Day 50
Capstone: Unit 4
F.Q. How is geometry used
Day 51
Capstone: Unit 4
F.Q. How is geometry used
everyday? How is it useful to me? everyday? How is it useful to me?
F.Q. How is geometry used
Mathematical Practices: 1, 4, 6
Mathematical Practices: 1, 4, 6
Day 53
Mathematical Practices: 1, 4, 6
Day 54
Mathematical Practices: 1, 4, 6
Day 52
Capstone: Unit 4
F.Q. How is geometry used
everyday? How is it useful to me? everyday? How is it useful to me?
Day 55
Mathematical Practices: 1, 4, 6
Day 56
Capstone: Unit 4
Capstone: Unit 4
Capstone: Unit 4
Capstone: Unit 4
F.Q. How is geometry used
F.Q. How is geometry used
F.Q. How is geometry used
F.Q. How is geometry used
everyday? How is it useful to me? everyday? How is it useful to me?
everyday? How is it useful to me? everyday? How is it useful to me?
Mathematical Practices: 1, 4, 6
Mathematical Practices: 1, 4, 6
Mathematical Practices: 1, 4, 6
Mathematical Practices: 1, 4, 6