Presented by Keith Smith Pacent Learning Solutions, Inc. Geometry Across the Grades & Standards.
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Presented by Keith Smith Pacent Learning Solutions, Inc. Geometry Across the Grades & Standards
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Transcript of Presented by Keith Smith Pacent Learning Solutions, Inc. Geometry Across the Grades & Standards.
Presented byKeith Smith
Pacent Learning Solutions, Inc.
Geometry Across the Grades & Standards
AgendaIntroductionBackground of PresentationCross Curricular Matrix: Area and
PerimeterGrade 3 Sample LessonsGrade 4 Sample LessonsGrade 5 Sample Lessons
Activity: Cross Curricular Matrix: Angles
Wrap-Up
BackgroundTwo teachers with the same problem
A = L ● W
P = 2L ● 2W
UNITS? Inches or square inches
3rd Grade &
Algebra Readiness
BackgroundTime and Creativity
No Time to Re-teach!No Time for favorite
activities!
BackgroundTeaching choices are often 25% - 40% off
standardOften add levels of difficulty that go beyond
standard.
Whole lessons and/or concepts are not grade level.**
** 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.
Instead of extending “concept development” we extend
“difficulty”. (Ex. Equivalent Fractions)
Instead of backward planning from a good assessment we cover
the lessons.
Background
BackgroundGoals
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
Estimate Area of Rectangles
Find Area of Rectangles w/Formula
Surface Area & Area of
Parallelogram & Triangle
Cross Curricular Matrix - Horizontal
Estimate Area of Rectangles
Find Area of Rectangles w/Formula
Surface Area & Area of
Parallelogram & Triangle
Pre-teachAdding &
Estimating
Pre-Teach Patterns &
Multiplication
Embedded Multiplication
Facts
Embedded Order of
Operations
Embedded Evaluating
Expressions
4 in
3 in
5 in
12 in
•Students are focused on addition•Perimeter is introduced as a tool to practice addition.•The triangle and rectangle have been covered since K.
Linear Measurement
New Polygons
•Addition Strategies5 + 6 + 4 + 5 + 6 + 45 + 10 + 5 + 105 + 5 + 10 + 1010 + 2030 ft
5 ft
5 ft
6 ft
6 ft
4 ft
4 ft
30 ft
Addition Properties
Extension:1 digit – 2 digit – 3 digitMissing sides (subtraction)Explicit word problemsStrategic word problems
7 ft 7 ft
7 ft
3 7 ft 21 ft
No units?Why feet?
9 ft
9 ft
9 ft
9 ft4 9 ft 36 ft
6 squares
8 squares
12 squares
10 squares
• Estimates are more common than “exact answers”
• Estimates reveal understanding and/or gaps in conceptual understanding.
4 4 1 4 square
s4 2 2 4
squares
5 5 1 5 square
s 6 6 1 6
squares
6 2 3 6 square
s7 7 1 7
squares
8 8 1 8 square
s8 2 4 8
squares
24 24 1 24 squares24 12 2
24 8 3
24 6 4
50 lines28 lines22 lines20 lines
24 squares24 squares24 squares
Area = L x WArea = (4) x (3)Area = 12 Squares
3
4
1 26
5
6
4 A = A1 + A2
A = (L1 x W1) + (L2 x W2)A = (5 x 6) + (4 x 6)A = 30 + 24A = 54 Squares
ActivityUse:
Standard MapGrade Level StandardsTemplate for Curriculum Matrix
ToDevelop curriculum matrix for angles.
4.1
4.1
4.1
4.1
4.1
4.1
4.1
4.1
4.2
4.2
