Transcript Slide 1

Geometry Across the Grades &
Standards
Presented by
Keith Smith
Pacent Learning Solutions, Inc.
Agenda
 Introduction
 Background of Presentation
 Cross Curricular Matrix: Area and Perimeter
 Grade 3 Sample Lessons
 Grade 4 Sample Lessons
 Grade 5 Sample Lessons
 Activity: Cross Curricular Matrix: Angles
 Wrap-Up
Background
Two teachers with the same problem
3rd Grade
&
Algebra Readiness
Background
 Time and Creativity
No Time to Re-teach!
No Time for favorite activities!
Background
 Teaching choices are often 25% - 40% off standard
 Often add levels of difficulty that go beyond standard.
Instead of extending “concept development” we
extend “difficulty”. (Ex. Equivalent Fractions)
 Whole lessons and/or concepts are not grade level.**
Instead of backward planning from a good
assessment we cover the lessons.
** This does not mean kids can’t do the math or that it’s not grade level
appropriate. It just might not be a priority.
Background
Background
 Goals
 Prioritize instruction (Focus on what’s most
important).
 Work to extend concept development on priorities.
 Look for opportunities to pre-teach and embed
concepts across the curriculum.
•Where does my teaching fit in the program?
•What can I rely on from previous instruction?
•What’s viewed most important by the next grade level?
Cross Curricular Matrix - Vertical
Surface Area &
Area of
Parallelogram &
Triangle
Find Area of
Rectangles
w/Formula
Estimate Area of
Rectangles
Cross Curricular Matrix - Horizontal
Surface Area &
Area of
Parallelogram &
Triangle
Pre-Teach
Patterns &
Multiplication
Find Area of
Rectangles
w/Formula
Pre-teach
Adding &
Estimating
Estimate Area of
Rectangles
Embedded
Evaluating
Expressions
Embedded
Order of
Operations
Embedded
Multiplication
Facts
Linear
Measurement
4 in
5 in
12 in
3 in
•Students are focused on addition
•Perimeter is introduced as a tool to practice addition.
•The triangle and rectangle have been covered since K.
New Polygons
6 ft
5 ft
4 ft
4 ft
5 ft
6 ft
Extension:
1 digit – 2 digit – 3 digit
Missing sides (subtraction)
Explicit word problems
Strategic word problems
30 ft
•Addition Strategies
5+6+4+5+6+4
5 + 10 + 5 + 10
5 + 5 + 10 + 10
10 + 20
Addition
30 ft
Properties
7 ft
7 ft
3
7 ft
7 ft
No units?
21 ft
Why feet?
9 ft
9 ft
9 ft
4
9 ft
9 ft
36 ft
6 squares
12 squares
8 squares
• Estimates are more common than “exact answers”
• Estimates reveal understanding and/or gaps in
10 squares
conceptual understanding.
4
4
4
2
1
2
4 squares
4 squares
5
5
1
5 squares
6
6
1
6 squares
6
2
3
6 squares
7
7
1
7 squares
8
8
8
2
1
4
8 squares
8 squares
24
24
24
12
1
2
24 squares
24 squares
50 lines
28 lines
24
8
3
24 squares
22 lines
24
6
4
24 squares
20 lines
4
3
Area = L x W
Area = (4) x (3)
Area = 12 Squares
5
6
1
4
6
2
A=
A1
+
A2
A = (L1 x W1) + (L2 x W2)
A = (5 x 6) + (4 x 6)
A=
30
+ 24
A = 54 Squares
Activity
 Use:
 Standard Map
 Grade Level Standards
 Template for Curriculum Matrix
 To
 Develop curriculum matrix for angles.
Thank You
Keith Smith
916-505-8835
[email protected]
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