Fifth Grade Fractions & Freehand Geometry
updated March 29, 2020
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This site records my journey. I hope my honesty is encouraging and helps break down some barriers that may prevent people from trying Waldorf methods. Because this is an ongoing site documenting my curriculum planning and ideas, some materials are more Waldorf-y than others. Please feel free to take what you like and leave the rest.
Fractions & Freehand Geometry
for Class 5
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For mathematics I do like Jamie York's materials best. This topic, "Freehand Geometry and Fifth Grade
Fractions" is his recommended Main Lesson Block #1 of 3 for the fifth grade year.
You can also purchase Schuberth's book or download it (above).
Making Math Meaningful:
A Source Book for Teaching Math in Grades One Through Five
Other Helpful Links
Mathematical progression of skills for this year in the following areas:
Jamie York - Fractions
The students should become fluent when working with common and unlike denominators.
Division of fractions is introduced.
All four processes with fractions and mixed numbers should be practiced regularly.
Ernst Schuberth - Freehand Geometry
Ernst Schuberth has written wonderful books on the teaching of geometry, but one should note that they are out of step with the progression
of math skills recommended by Jamie York.
Jamie writes on page 83 of his Making Math Meaningful: A Source Book for Teaching Math in Grades One Through Five, "We recommend
freehand geometry in fifth grade, and geometric drawing (with compass and straightedge) for sixth grade, whereas Schuberth
lists both of these for a year earlier."
Thus, Schuberth's grade 4 & 5 book can be seen as a grade 5 & 6 book. Here are his grade 4 skills notes regarding lessons in Geometric Drawing,
which we may use for this block:
"Every teacher can decide for himself where an appropriate place for geometric form drawing is in the lesson plan. For example, as a part of a form drawing block or tacked onto the end of an arithmetic block would certainly be suitable. Taking the seasons into consideration, I always found that the winter is the best time for geometry main lessons."
"Geometry in the fifth grade is similar to that in the fourth grade in as far as it is still free-hand geometry and viewed as an extension of form drawing. The construction descriptions suggested here belong, in a narrower sense, to the mathematics lessons." (page 43)
NOTE: students are NOT given a straight edge or a compass until 6th grade
from the circle to the ellipse
points of a circle
acute, obtuse, right, straight, and full angles
vertical, straight, and supplementary angles
from the circle to the triangle
from the circle to the square
square, rectangle, rhombus, parallelogram, trapezoid, deltoid
light and shadow around a sphere
Fraction Finders from Mindware:
reducing fractions to whole numbers
Puzzles #2 - 3
Puzzles #4 - 5
reducing fractions to lowest terms
converting improper fractions to mixed numbers
converting mixed numbers to improper fractions
adding fractions with like denominators
Puzzles # 9 - 10
adding fractions with like denominators, reducing answers
Puzzles #11 - 13
adding fractions with unlike denominators
subtracting fractions with like denominators
Puzzles # 15 - 16
subtracting fractions with like denominators, reducing answers
Puzzles #17 - 19
subtracting fractions with unlike denominators
multiplying fractions by whole numbers, reducing answers
Puzzles #21 - 22
multiplying fractions by fractions
Puzzles #23 - 25
multiplying fractions by fractions, reducing answers
Puzzles #26 - 27
dividing fractions by fractions
Puzzles #28 - 30
(cross cancelling should wait until sixth grade)
Traditional Materials from TpT for practice / review / assessment:
I've moved this list to inside the blog post Skills Progression in Fractions
My blog posts from teaching this topic: