Download Fifth Grade Mathematics Geometry/Algebra

FIFTH GRADE
MATHEMATICS
GEOMETRY
Parent Workshop
Tuesday, October 26, 2010
Presented by J. Jove & N. Smith
C A L I F O R N I A M AT H S TA N D A R D S
FOR FIFTH GRADE
Measurement and Geometry (MG)
 Derive & use the formula for the area of a triangle and of a
parallelogram by comparing it with the formula for the area of a
rectangle (MG 1.1).
 Understand the concept of volume and use the appropriate
units in measuring systems -- cm³, m, in, yd (MG1.3).
BACK TO THE BASICS…
In order for fifth grade students
to be successful in fifth grade
math and higher math levels, they
must be proficient in multiplying
and dividing. This includes
486
and dividing
large
xmultiplying
21
38,209
÷ 24
numbers.
Geometry Terms & Symbols
 Perpendicular  (lines that intersect each other at right angles)-B & C/B & D
A
 Parallel ‖ (lines that never cross) – C & D
 Intersecting Lines (lines that cross; not perpendicular)-A & C
C
 Ray → (a line that goes in one direction from a point)
 Line Segment − (the part of a line set off by points)
 Line ↔ (a line that goes on in either direction)-A/B/C/D
 Congruency  (having the same shape and size)
D
B
Measure And Draw Angles
Classifying Angles
2
1. Right Angle = 90°
2. Acute Angle = less than 90°
3. Obtuse Angle = larger than 90°,
3
but less than 180°
4. Straight Angle = 180°
4
1
Triangles
(The sum of all angles in a triangle equals 180º)
Here are 4 kinds of triangles:
1) Isosceles-two congruent sides
and angles.
2) Equilateral-all angles and sides
congruent.
3) Right-one angle equals 90°.
4) Obtuse-one angle larger than
90°.
Equilateral
Obtuse
Right
Isosceles
Triangles Continued…
(Triangles have more than one name)
Scalene/Obtuse
Acute/
Equilateral
The scalene triangle has no equal sides or
angles; the angles in an acute triangle are all
less than 90°; the right triangle has one
angle equal to 90°; the isosceles triangle has
two congruent sides and angles;
Right/
Isosceles
Quadrilaterals
(Four-sided shapes)
Angles in any quadrilateral totals to 360. Here are the names
of quadrilaterals your child should know:
SQUARE (all sides and angles congruent, four right angles)
RECTANGLE (opposite sides congruent, four right angles)
RHOMBUS (four congruent sides and four congruent
angles)
TRAPEZOID (top and bottom line are parallel; top angles
congruent, bottom angles congruent)
PARALLELOGRAM (opposite sides and opposite angles
are equal)
QUADRILATERAL (four sides, no angles and sides have
the same length)
Quadrilaterals Continued…
(Quadrilaterals also have more than one name)
A SQUARE is also a RHOMBUS,
a RECTANGLE, a
PARRALLELOGRAM,
and a QUADRILATERAL
==========================
A RECTANGLE is also a
PARALLELOGRAM
(What else can it be?)
=========================
A TRAPEZOID is also a
QUADRILATERAL
Congruency
When shapes are congruent, they have the same shape and same size. Dashes are
used to show congruent sides and angles.
(
D is  to
E)
Circles And Angles
G
 Diameter (AC)
 Radius (BC or BG)
 Chord (DE)
A
 Center (B)
 Central Angle (GBC or
E
D
ABG or B)
 Point (B)
C
B
Area of a Circle:
Symmetry
Rotational & Line Symmetry
Rotational Symmetry
Line Symmetry
Working With Formulas
1) Perimeter = length + length + width + width (the distance
around a figure)
2) Area = length x width
3) Area of a Triangle = base x height ÷ 2
4) Area of a Parallelogram = base x height
5) Circumference of a Circle = 3.14 x diameter
or 22/7 x diameter ( = 3.14)
Volume & Surface Area
4
1
3
2
1) Rectangular Prism
2) Cube
3) Cylinder
4) Triangular Prism or
Pyramid
Making Connections
Did you know that multiplication and division are
simply opposites that you can use to check for
accuracy? They are related…
One Half
12 x 2 = 24
24 ÷ 2 = 12
*In each chapter, students are
required to use the four
operations: +, −, x, ÷
(Ex. 7x = 49)
1/2
.50 50%
…In that same way, fractions, decimals, and
percentages are all the same; they are just
written in different ways.
H e l p f u l We b s i t e s & R e s o u r c e s
If your child continues to struggle, here are some helpful
websites:
www.eduplace.com
www.mrholshoe.com
www.themathworksheetsite.com
www.ixl.com
www.cde.ca.gov
www.softschools.com/grades/5thgrade.jsp
www.tlsbooks.com/mathworksheets.htm
*PARENTS:
The State of
California website
has test released
questions that you
can use as well!
The Importance Of…
Homework
Believe it or not, teachers do understand that homework is not
always easy. But to become better at something, you must
practice. We know and believe strongly that parent involvement,
support, and a structured environment is essential in helping a
student improve and be successful in their classwork, homework,
and his/her academic future. That is why we stress that
homework be done each night. Students are never given work
that they have not been taught. We teach good note-taking skills
so that your child can have the tools needed to assist them with
their homework. You can help by asking your child to show you
his/her notes and homework each day.