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Area

Compose

Cone

Cube

The area of a figure is the number of square units it encloses.

To compose two geometric figures, you join them together to m…

A cone is a three-dimensional figure with one circular base a…

A cube is a rectangular prism whose faces are all squares.

Area

The area of a figure is the number of square units it encloses.

Compose

To compose two geometric figures, you join them together to m…

angle

ray

line

segment

the space between two lines that cross each other or come tog…

can only have an arrow on one end- the line starts at the poi…

has an arrow on both ends because the line can go in both dir…

a segment is just a small line with a beginning point and an…

angle

the space between two lines that cross each other or come tog…

ray

can only have an arrow on one end- the line starts at the poi…

Equilateral Triangle

Formula to find the measures of each i…

Formula to find the sum of the measure…

Square

3 Sides or Angles

180 (n-2) divided by n

180 (n-2) divided by n times n

4

Equilateral Triangle

3 Sides or Angles

Formula to find the measures of each i…

180 (n-2) divided by n

Define Mathematics

Define Concept

Define Skill

Define Strategy

A universal language that uses words and symbols to create me…

metacognitive understanding that is developed with student la…

demonstrated ability using concepts ... e.g accurately measurin…

processing info effectively ... e.g sin cos tan - using sac a t…

Define Mathematics

A universal language that uses words and symbols to create me…

Define Concept

metacognitive understanding that is developed with student la…

Altitude of a triangle

Concurrent

Orthocenter of a Triangle

Median of a Triangle

a line segment drawn from one vertex perpendicular to the opp…

Lines that intersect at one point

the point of concurrency of the altitudes of a triangle

a line segment drawn from one vertex to the midpoint of the o…

Altitude of a triangle

a line segment drawn from one vertex perpendicular to the opp…

Concurrent

Lines that intersect at one point

Area

Compose

Cone

Cube

The area of a figure is the number of square units it encloses.

To compose two geometric figures, you join them together to m…

A cone is a three-dimensional figure with one circular base a…

A cube is a rectangular prism whose faces are all squares.

Area

The area of a figure is the number of square units it encloses.

Compose

To compose two geometric figures, you join them together to m…

Reflection

Translation

Vector

Rotation

Isometric transformation where the original shape is mirrored…

Shift of every point on an object in a given direction and by…

Describes the distance and direction of a translation

Isometric transformation of an object about a centre point an…

Reflection

Isometric transformation where the original shape is mirrored…

Translation

Shift of every point on an object in a given direction and by…

Van Hiele Theory

Straight line

Planes

Line segment

stage theory, set out in levels (geometry)... 5 stages (level 0-…

through any 2 pints... is one-dimensional

two dimensional... infinite length and width

two points on that line... Ex: Point A to Point B

Van Hiele Theory

stage theory, set out in levels (geometry)... 5 stages (level 0-…

Straight line

through any 2 pints... is one-dimensional

polygon

Parallelogram

Shape

2D (2 dimensional)

A shape with three or more straight sides.

A shape with opposite sides parallel and of equal length and…

A shape is a closed line, shapes can be geometric like a squa…

polygon

A shape with three or more straight sides.

Parallelogram

A shape with opposite sides parallel and of equal length and…

What shapes can Tessellate?

Oiler's Formula

Central Angle Formula

Sum of Interior Angles

Triangle, square, hexagon

Used for hedrons only. ... vertices + faces - edges = 2

360/n

180(n-2)

What shapes can Tessellate?

Triangle, square, hexagon

Oiler's Formula

Used for hedrons only. ... vertices + faces - edges = 2

Point

Line

Plane

Line Segment

an undefined term thought of as a location with no size or di…

determine by 2 distinct points

determine by 3 non-collinear points make a plane ... a line

two points and all the points between them that are collinear…

Point

an undefined term thought of as a location with no size or di…

Line

determine by 2 distinct points

Children's experience in geometry shou…

The Van Hiele Theory

Van Hiele's Level 0: Visualization

Van Hiele's Level 1: Analysis

Direction, shape, size, symmetry, congruence, and similarity…

A stage theory, set out in levels... *"Stages of learning": the…

Learners develop a mental picture of each shape

Learners begin to talk and notice the properties of the shapes

Children's experience in geometry shou…

Direction, shape, size, symmetry, congruence, and similarity…

The Van Hiele Theory

A stage theory, set out in levels... *"Stages of learning": the…

geometry

angle

acute angle

right angle

the study of shapes and the relationship among them

formed by an endpoint, or vertex and two rays

an angle that measures less than 90 degrees

an angle that measures exactly 90 degrees

geometry

the study of shapes and the relationship among them

angle

formed by an endpoint, or vertex and two rays

Tetrahedron

Cube

Octahedron

Dodecahedron

A platonic solid that has four triangular faces, six edges, a…

A platonic solid that has six square faces, twelve edges, and…

A platonic solid that has eight triangular faces, twelve edge…

A platonic solid that has twelve pentagonal faces, thirty edg…

Tetrahedron

A platonic solid that has four triangular faces, six edges, a…

Cube

A platonic solid that has six square faces, twelve edges, and…

Vertical angles are

Angles that add up to 180 degrees are

Angles that add up to 90 degrees are

Properties of an equilateral triangle

Congruent

Supplementary

Complementary

1. all sides are equal... 2. all angles are equal... 3. all angles…

Vertical angles are

Congruent

Angles that add up to 180 degrees are

Supplementary

cube

pyramid

prism

cone

A box-shaped solid object that has six identical square faces

a solid object with a polygon for a base and triangles for si…

A solid object that has two identical ends and all flat sides

A solid (3-dimensional) object that has a circular base and o…

cube

A box-shaped solid object that has six identical square faces

pyramid

a solid object with a polygon for a base and triangles for si…

Vertical angles are

Angles that add up to 180 degrees are

Angles that add up to 90 degrees are

Properties of an equilateral triangle

Congruent

Supplementary

Complementary

1. all sides are equal... 2. all angles are equal... 3. all angles…

Vertical angles are

Congruent

Angles that add up to 180 degrees are

Supplementary

geometry

measure

circumference

area

: a branch of mathematics that deals with points, lines, angl…

: an amount or degree of something... : something (such as a cu…

: the length of a line that goes around something or that mak…

(n)面積. 表面或身上的一個區域... : a section of space within a building, roo…

geometry

: a branch of mathematics that deals with points, lines, angl…

measure

: an amount or degree of something... : something (such as a cu…

Vertical angles are

Angles that add up to 180 degrees are

Angles that add up to 90 degrees are

Properties of an equilateral triangle

Congruent

Supplementary

Complementary

1. all sides are equal... 2. all angles are equal... 3. all angles…

Vertical angles are

Congruent

Angles that add up to 180 degrees are

Supplementary

Net

Congruent Figure

Perimeter

Area

a two-dimensional figure that can be cut out and folded up to…

figures that have the same size and shape

the sum of the lengths of the sides of the figure

the number of square units covered by the figure

Net

a two-dimensional figure that can be cut out and folded up to…

Congruent Figure

figures that have the same size and shape

Is this an example of volume, perimete…

Is this an example of volume, perimete…

Is this an example of volume, perimete…

Is this an example of volume, perimete…

Perimeter

Area

Volume

Volume

Is this an example of volume, perimete…

Perimeter

Is this an example of volume, perimete…

Area

net

area

volume

surface area

an arrangement of two-dimensional figures that can be folded…

the number of square units needed to cover a given surface

the number of cubic units needed to fill a given space

the sum of the areas of the faces, or surfaces, of a three-di…

net

an arrangement of two-dimensional figures that can be folded…

area

the number of square units needed to cover a given surface

Acute

Angle

Angle congruency marks

Area

an angle that measures less than 90°

two rays with a common endpoint (the vertex)

angle marks indicating angles of the same measure

the measurement attribute that describes the number of square…

Acute

an angle that measures less than 90°

Angle

two rays with a common endpoint (the vertex)

Grade to begin using correct terminolo…

def. line

def. ray

Squares are _____

2nd

straight, 1D figure, no thickness, infinite on both ends

Line with one endpoint, infinite in the other

_____ a special type of rectangle with four equal sides

Grade to begin using correct terminolo…

2nd

def. line

straight, 1D figure, no thickness, infinite on both ends

parallel

perpendicular

right triangle

parallelogram

two or more lines that are always remain an equal distance ap…

lines that come together at a 90 degree angle

a 90 degree angle

a quadrilateral with two pairs of parallel sides. Opposite si…

parallel

two or more lines that are always remain an equal distance ap…

perpendicular

lines that come together at a 90 degree angle

Customary System

Foot (ft)

Gallon (gal)

Gram (g)

The system of units used to measure in the United States

A customary unit for measuring length; 1 of these is equal to…

A customary unit for measuring capacity; 1 of these is equal…

A metric unit for measuring mass; 1,000 of these is equal to…

Customary System

The system of units used to measure in the United States

Foot (ft)

A customary unit for measuring length; 1 of these is equal to…

parallel lines

acute angle

acute triangle

angle

lines in a plane that never intersect

angle that measures less than 90'

a triangle with 3 acute angles

a figure formed by 2 rays that have a common endpoint

parallel lines

lines in a plane that never intersect

acute angle

angle that measures less than 90'

Line

Midpoint of a line segment

Vertical angles

Supplementary angles

A straight path that extends without end in opposite directions

The point that divides a line segment into two equal segments

A pair of opposite congruent angles formed by intersecting li…

Two angles whose sum is 180 degrees

Line

A straight path that extends without end in opposite directions

Midpoint of a line segment

The point that divides a line segment into two equal segments

Points and Lines

Angles in a plane

Equilateral Triangle

Isosceles Triangle

Primary purpose of surveying is to determine the relative pos…

adjacent angles. vertical and supplementary angles, parallel…

A triangle with three congruent sides

a triangle with two congruent sides

Points and Lines

Primary purpose of surveying is to determine the relative pos…

Angles in a plane

adjacent angles. vertical and supplementary angles, parallel…

Special right triangles

Arc of a circle (length)

Vertical angles

Supplementary angles

45-45-90: Side lengths are; x, x, xrad2... 30-60-90: Side length…

(central angle/360) x circumference

A pair of opposite congruent angles formed by intersecting li…

Two angles whose sum is 180 degrees

Special right triangles

45-45-90: Side lengths are; x, x, xrad2... 30-60-90: Side length…

Arc of a circle (length)

(central angle/360) x circumference

Midpoint

Vertical Angles

Supplementary Angles

Parrallel lines

the point that divides a line into two segments of equal leng…

two opposite angles formed by two intersecting lines. they ar…

Two angles whose sum is 180 degrees

lines that never intersect

Midpoint

the point that divides a line into two segments of equal leng…

Vertical Angles

two opposite angles formed by two intersecting lines. they ar…

parallel

perpendicular

right triangle

parallelogram

two or more lines that are always remain an equal distance ap…

lines that come together at a 90 degree angle

a 90 degree angle

a quadrilateral with two pairs of parallel sides. Opposite si…

parallel

two or more lines that are always remain an equal distance ap…

perpendicular

lines that come together at a 90 degree angle

Geometric Notation

Points on a Line

Angles in the Plane

Equilateral Triangles

---> the way lines are written and understood using symbols

Consists of midpoints and uses distances between points to so…

Consist of supplementary angles, vertical angles, and straigh…

All three sides equal and therefore all angles equal to 60 de…

Geometric Notation

---> the way lines are written and understood using symbols

Points on a Line

Consists of midpoints and uses distances between points to so…

an Angle is formed when?

Opposite Rays?

A line is determined by?

Tessellations are figures that can be?

Two rays share the same endpoint

Form a line

Two points

Replicated to cover a surface without gaps

an Angle is formed when?

Two rays share the same endpoint

Opposite Rays?

Form a line

Geometric Notation

Points and Lines

Angles in the Plane

Equilateral Triangles

line <------>... line segment -----... ray ----->

Coplanar

vertical angles-two opposite angles formed by intersecting li…

Have three congruent sides and three congruent angles

Geometric Notation

line <------>... line segment -----... ray ----->

Points and Lines

Coplanar

acute angle

angle

congruent

obtuse angle

an angle that measures greater than 0° and less than 90°

a figure formed by two rays with a common endpoint called the…

having the same size and shape; the symbol for congruent is ≅

an angle whose measure is greater than 90° but less than 180°

acute angle

an angle that measures greater than 0° and less than 90°

angle

a figure formed by two rays with a common endpoint called the…

Vertical Angles

Supplementary Angles

Straight Angle

Right Angle

Angles opposite one another at the intersection of two lines.…

two angles whose measures have a sum of 180 degrees

An angle with a measure of 180 degrees

an angle with a measure of 90 degrees

Vertical Angles

Angles opposite one another at the intersection of two lines.…

Supplementary Angles

two angles whose measures have a sum of 180 degrees

line

line of symmetry

line plot

line segment

A set of connected points continuing without end ... in both dir…

A line that divides a figure into two congruent halves ... that…

A diagram showing frequency of data on a number line

A part of a line with two endpoints

line

A set of connected points continuing without end ... in both dir…

line of symmetry

A line that divides a figure into two congruent halves ... that…

parallel

perpendicular

right triangle

parallelogram

two or more lines that are always remain an equal distance ap…

lines that come together at a 90 degree angle

a 90 degree angle

a quadrilateral with two pairs of parallel sides. Opposite si…

parallel

two or more lines that are always remain an equal distance ap…

perpendicular

lines that come together at a 90 degree angle

unit

Acute Angle

obtuse angle

right angle

a standard division by which something is measured

An angle that is less than 90 degrees

An angle that measures more than 90 degrees but less than 180…

An angle that measures 90 degrees

unit

a standard division by which something is measured

Acute Angle

An angle that is less than 90 degrees

Negative Exponents

rational numbers

% increase and decrease

Area of a Circle

Ex: 10⁻³=1/10³

numbers that can be expressed as fractions

1) write the numerator as the difference... 2) denominator as th…

A=πr²

Negative Exponents

Ex: 10⁻³=1/10³

rational numbers

numbers that can be expressed as fractions

parallel

perpendicular

right triangle

parallelogram

two or more lines that are always remain an equal distance ap…

lines that come together at a 90 degree angle

a 90 degree angle

a quadrilateral with two pairs of parallel sides. Opposite si…

parallel

two or more lines that are always remain an equal distance ap…

perpendicular

lines that come together at a 90 degree angle

congruence

similarity

complimentary angles

supplementary angles

shapes that have same shape and size

shapes that have same shape

sum of their measures is 90 degrees

sum of their measures is 180 degrees

congruence

shapes that have same shape and size

similarity

shapes that have same shape