FIFTH GRADE MATHEMATICS

GEOMETRY

Parent Workshop

Tuesday, October 26, 2010

Presented by J. Jove & N. Smith

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).

CALIFORNIA MATH STANDARDS FOR FIFTH GRADE

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 multiplying and dividing large numbers.

4 8 6 x 2 1

38,209 ÷ 24

P

erpendicular (lines that intersect each other at right angles)-B & C/B & D

P

arallel ‖ (lines that never cross) – C & D

I

ntersecting Lines (lines that cross; not perpendicular)-A & C

R

ay → (a line that goes in one direction from a point)

L

ine Segment − (the part of a line set off by points)

L

ine ↔ (a line that goes on in either direction)-A/B/C/D

C

ongruency (having the same shape and size)

Geometry Terms & Symbols

A

B

C

D

1. Right Angle = 90°

2. Acute Angle = less than 90°

3. Obtuse Angle = larger than

90°,

but less than 180°

4. Straight Angle = 180°

Measure And Draw Angles

Classifying Angles

3

2

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°.

Right

ObtuseEquilateral

Isosceles

Triangles Continued…(Triangles have more than one name)

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;

Scalene/Obtuse

Right/Isosceles

Acute/Equilate

ral

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

D

iameter (AC)

R

adius (BC or BG)

C

hord (DE)

C

enter (B)

C

entral Angle (GBC or ABG or B)

P

oint (B)

A C

G

D E

B

Area of a Circle:

SymmetryRotational & 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 diameteror 22/7 x diameter ( = 3.14)

Volume & Surface Area

1) Rectangular Prism2) Cube3) Cylinder4) Triangular Prism or Pyramid

1

3 2

4

Making ConnectionsDid you know that multiplication and division are simply opposites that you can use to check for accuracy? They are related…

…In that same way, fractions, decimals, and percentages are all the same; they are just

written in different ways.

*In each chapter, students are required to use the four operations: +, −, x, ÷

(Ex. 7x = 49)

Helpful Websites & ResourcesIf 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…

HomeworkBelieve 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.