Topic 8 and 12

Let’s learn!

AMP 4th Grade

BY:JOSE CARLOS, SANTIAGO ORTIZ, LEANDRO MAURICIO AND JIMENA ZAPATA.

Topic 8

8 - 1 Basic Geometric Ideas

8 - 2 Measuring and Classifying Angles

8 - 3 Polygons

8 - 4 Triangles

8 - 5 Quadrilaterals

8 - 6 Problem Solving: Make and Test Generalizations

8 - 2 Measuring and Classifying Angles

8 - 3 Polygons

8 - 4 Triangles

8 - 5 Quadrilaterals

8 - 6 Problem Solving: Make and Test Generalizations

8 - 1 Basic Geometric Ideas

Points and lines are basic geometric ideas. Lines are sometimes

described by relationships to other lines.

described by relationships to other lines.

If you see a line crossing another line it means they intersect.

In this example you can se line U intersects line P.

In this example you can se line U intersects line P.

If you see this time a dot it means it is point (a letter or number).

In this example point J.

In this example point J.

Parallel lines can’t intersect because parallel means extending in the same direction, but without meeting.

8-2

Measuring and Classifying Angles

Measuring and Classifying Angles

Right

In geometry and trigonometry, a right angle is an angle of exactly 90 degrees or \pi /2 radians corresponding to a quarter turn. If a ray is placed so that its endpoint is on a line and the adjacent angles are equal, then they are right angles.

Acute

An acute angle is an angle that is

**less than 90°**, and these angles can be measured using a protractor.Obtuse

In Mathematics, “an obtuse angle is an angle which is greater than 90° and less than 180°”. In other words, an obtuse angle is between a right angle and a straight angle.

Straight

A straight angle is a 180° angle.

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8-3 polygonsLoading...

A polygon is a closed plane figure made up of line segments. Common polygons have names that tell

the number of sides the polygon has.

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Examples:Loading...

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Quadrilateral Loading...

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Octagon Loading...

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HexagonLoading...

8-4 trianglesLoading...

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Examples:Loading...

equilateral triangleLoading...

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Scalene triangleLoading...

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Acute triangle Loading...

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Right triangleLoading...

8-5 quadrilaterals

Parallelogram: a quadrilateral with both pairs of opposite sides parallel and equal in length.

Rectangle: a parallelogram with four right angles.

Rhombus: a parallelogram with all sides the same

length.

square: a rectangle with all sides the same length.

trapezoid: a quadrilateral with only one pair of parallel sides.

Rectangle: a parallelogram with four right angles.

Rhombus: a parallelogram with all sides the same

length.

square: a rectangle with all sides the same length.

trapezoid: a quadrilateral with only one pair of parallel sides.

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8-6 make and test generalizations

Say that triangles u,a,c and d,b,k are congruent?

Both triangles are congruent because each is a half of a square and squares have 4 congruent sides and angles.

Topic 12

12 - 1 Using Customary Units of Length

12 - 2 Using Metric Units of Length

12 - 3 Perimeter

12 - 4 Area of Squares and Triangles

12 - 5 Area of Parallelograms

12 - 6 Area of Triangles

12 - 7 Circles and Circumference

12 - 8 Problem Solving: Draw a Picture and Make an Organized List

12 - 2 Using Metric Units of Length

12 - 3 Perimeter

12 - 4 Area of Squares and Triangles

12 - 5 Area of Parallelograms

12 - 6 Area of Triangles

12 - 7 Circles and Circumference

12 - 8 Problem Solving: Draw a Picture and Make an Organized List

12-1

MEASURING OBJECTS

12-2

Reading & Marking Ruler