Math Grade 4 Mrs. Ennis Parallel and Perpendicular Lines Lesson 35

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Math Grade 4Mrs. Ennis

Parallel and Perpendicular Lines

Lesson 35

1. 387,456 + A + 895 = 388,385

2. Find the difference between 8,695 and 29.

3. 149 x 20 = S

4. 37 ÷ M = 7 remainder 2

5. 156 ÷ 3 = F6. What is a polygon with

eight sides called?

7. 1 lb. = _________ oz.

8. Write >, <, or =. 53,914 53,941

9. Sodas cost $0.99 for one liter. How much change will you get from $5.00 if you buy 3 liters?

10. Nathan has $8.00 to spend on hot dogs and sodas. Hot dogs cost $0.75 each. If Nathan buys 7 hot dogs, how much money can he spend on sodas?

Review Plane Figures

Triangles

• Two-dimensional shape with three straight sides and three angles.

Types of Triangles

Scalene Triangle with

no sides equal

Types of Triangles

Isosceles Triangle with 2 sides equal

Types of Triangles

Equilateral

Triangle with

all sides equal

Types of Triangles

Right Triangle with a right angle

Quadrilaterals

• Two-dimensional shape with four straight sides and four angles.

Rectangle• A four sided

two-dimensional shape with two pairs of parallel sides that meet at right angles.

Types of Quadrilaterals:

Square • A two-dimensional four sided shape with opposite sides that are parallel and all the sides are the same length. Also has 4 right angles.

Types of Quadrilaterals:

Kite • A two-dimensional shape with two shorter sides of equal length and two longer sides of equal length.

Types of Quadrilaterals:

Rhombus• A two-dimensional four sided shape with opposite sides that are parallel and all the sides are the same length.

Types of Quadrilaterals:

Trapezoid • A two-dimensional shape with four sides and one pair of parallel sides with one side longer than the other.

Types of Quadrilaterals:

Pentagon

• A two-dimensional shape with five straight sides and five angles.

Hexagon

• A two-dimensional shape with 6 straight sides and 6 angles.

Octagon

• A two-dimensional shape with 8 straight sides and 8 angles.

Parallel Lines

Parallel lines are lines in a plane that never intersect.

Parallel lines are always an equal distance apart, therefore they will NEVER cross, or intersect.

A

DC

B

AB CD ( Line AB is parallel to line CD.)

Where are the parallel lines in this rhombus?

Where are the parallel lines in this hexagon?

Where are the parallel lines in this rectangle?

Where are the parallel lines in this trapezoid?

Perpendicular Lines

Perpendicular lines are lines that meet or cross to form right angles.

A

D

C

B

AB CD ( Line AB is perpendicular to line DC.)

Where are the perpendicular lines in this rectangle?

Where are the perpendicular lines in this square?

Where are the perpendicular lines in this right triangle?

Intersecting Lines

Intersecting lines are lines that meet or cross at any angle.

Where are the intersecting lines in this triangle?

Where are the intersecting lines in this square?

Where are the intersecting lines in this hexagon?

Use the following diagram to answer each question:

A

B

D

C

What is the relationship between line AC and line CD?

Use the following diagram to answer each question:

A

B

D

C

Intersecting

Use the following diagram to answer each question:

A

B

D

C

What is the relationship between line AB and line AC?

Use the following diagram to answer each question:

A

B

D

C

Perpendicular

Use the following diagram to answer each question:

A

B

D

C

What is the relationship between line CD and line BD?

Use the following diagram to answer each question:

A

B

D

C

Intersecting

Use the following diagram to answer each question:

A

B D

C

What is the relationship between line AC and line BD?

Use the following diagram to answer each question:

A

B D

C

Parallel

Math Fun:

Four students decide to throw a party. They plan to share the expenses equally. Sharon buys a cake for $12, Ricky buys $6 worth of ice cream. Ellen spends $5 on green and gold balloons. Justin gets $7 worth of soft drinks, and he pays $6 to rent a popcorn popper. To be fair, who owes money to whom?

Answer:

The total expense was $36, so each person should pay $9. Ricky gives Sharon $3, and Ellen gives Justin $4, then each person willhave paid their fair share.

http://mathlearnnc.sharpschool.com/UserFiles/Servers/Server_4507209/File/Instructional%20Resources/G4WW1-4.pdf

Resources:

http://www.ixl.com/math/grade-4/parallel-perpendicular-intersecting

http://pbskids.org/cyberchase/games/perimeterarea/perimeterarea.html

http://kidcourses.com/grade-4-math-game-4-geometry/

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