Unit News
| Standards |
Transformations
Textbook Pages: 470-494
M7G2
a.Demonstrate understanding of
translations, dilations, rotations,
reflections, and relate symmetry to
appropriate transformation.
b. Given a figure in the coordinate plane,
determine the coordinates resulting from
a translation, dilation, rotation, or
reflection.
M7A3
a. Plot points on a coordinate plane
(testing from Unit 1 teaching).
M7P3
c. Analyze and evaluate the mathematical
thinking and strategies of others.
d. Use the language of mathematics to
express mathematical ideas precisely.
Textbook Pages: 470-494
M7G2
a.Demonstrate understanding of
translations, dilations, rotations,
reflections, and relate symmetry to
appropriate transformation.
b. Given a figure in the coordinate plane,
determine the coordinates resulting from
a translation, dilation, rotation, or
reflection.
M7A3
a. Plot points on a coordinate plane
(testing from Unit 1 teaching).
M7P3
c. Analyze and evaluate the mathematical
thinking and strategies of others.
d. Use the language of mathematics to
express mathematical ideas precisely.
Sandtown Middle School
7th Grade Mathematics
7th Grade Mathematics
7th Grade Mathematics
Newsletter
Newsletter
Dear Parents and Friends,
We had a successful completion of unit five where students actively learned
about data, data collection, analysis and presentation. Welcome to a our sixth
unit in Math! We are eager to work with you and your student as we learn new
mathematical concepts. Our students will be actively engaged in learning to
transform figures on the coordinate plane. Student will understand that a plane
figure can be moved through space without changing shape by dilations,
rotations, reflections, and translations. They will also understand that there are
two types of symmetry; and, that different combinations of transformations can
result in the same image. They learn that translating a two-dimensional figure
conserves shape but not necessarily the size of the figure and they will
communicate and analyze the problem solving strategies used by themselves
as well as others.
In the classroom, students will frequently work on tasks and activities to
discover and apply mathematical thinking. Sometimes, students will be working
with a partner or group; other times, students will work independently.
Frequently, students will be asked to explain or justify their answers. Students
will be expected to write clearly and properly.
We had a successful completion of unit five where students actively learned
about data, data collection, analysis and presentation. Welcome to a our sixth
unit in Math! We are eager to work with you and your student as we learn new
mathematical concepts. Our students will be actively engaged in learning to
transform figures on the coordinate plane. Student will understand that a plane
figure can be moved through space without changing shape by dilations,
rotations, reflections, and translations. They will also understand that there are
two types of symmetry; and, that different combinations of transformations can
result in the same image. They learn that translating a two-dimensional figure
conserves shape but not necessarily the size of the figure and they will
communicate and analyze the problem solving strategies used by themselves
as well as others.
In the classroom, students will frequently work on tasks and activities to
discover and apply mathematical thinking. Sometimes, students will be working
with a partner or group; other times, students will work independently.
Frequently, students will be asked to explain or justify their answers. Students
will be expected to write clearly and properly.
VOCABULARY
Graphing in a Four Quadrant Plane
x-axis – horizontal axis
y-axis – vertical axis
Quadrant – a section of the coordinate plane
Ordered pairs– pairs of points that signify a location in the coordinate plane (x,y)
Relation – a set of ordered pairs
Domain – the first coordinate
Range – the second coordinate
Function – each member of the domain is paired with exactly one member of
the range
Mapping diagram – drawing arrows from listed domain values to listed range
values to see if the relation is a function; only 1 domain value can be matched
to 1 range value to be a function
Vertical-line test – a way to see if a relation is a function; if a vertical line
passes through two points on a graph, then the relation is not a function
Linear equation – an equation whose graph is a line
Transformations
Transformation – Movements of figures on a plane. A transformation can be a
translation, reflection or rotation.
Translation – slide
Reflection – flip
Line of Reflection – a line over which a figure is reflected
Rotation – turns a figure about a fixed point
Center of Rotation – the fixed point for rotating a figure
Rotational Symmetry – when an image after a rotation of 180° or less fits
exactly on the original figure.
Image – a point, line or figure that has been transformed to a new set of
coordinates
Prime Notation – a mark used to identify an image point
Arrow Notation – an arrow used to show a transformation
Graphing in a Four Quadrant Plane
x-axis – horizontal axis
y-axis – vertical axis
Quadrant – a section of the coordinate plane
Ordered pairs– pairs of points that signify a location in the coordinate plane (x,y)
Relation – a set of ordered pairs
Domain – the first coordinate
Range – the second coordinate
Function – each member of the domain is paired with exactly one member of
the range
Mapping diagram – drawing arrows from listed domain values to listed range
values to see if the relation is a function; only 1 domain value can be matched
to 1 range value to be a function
Vertical-line test – a way to see if a relation is a function; if a vertical line
passes through two points on a graph, then the relation is not a function
Linear equation – an equation whose graph is a line
Transformations
Transformation – Movements of figures on a plane. A transformation can be a
translation, reflection or rotation.
Translation – slide
Reflection – flip
Line of Reflection – a line over which a figure is reflected
Rotation – turns a figure about a fixed point
Center of Rotation – the fixed point for rotating a figure
Rotational Symmetry – when an image after a rotation of 180° or less fits
exactly on the original figure.
Image – a point, line or figure that has been transformed to a new set of
coordinates
Prime Notation – a mark used to identify an image point
Arrow Notation – an arrow used to show a transformation
Suggested Websites
Properties of Numbers:
http://www.eyepleezers.com/aaamath/grade7.htm#topic88
Combine Like Terms and Translate and evaluate algebraic expressions:
http://www.eyepleezers.com/aaamath/grade7.htm#topic57
Computation with Fractions and Decimals:
http://www.eyepleezers.com/aaamath/grade7.htm#topic57
Solving equations
http://www.internet4classrooms.com/skills_7th_math.htm
http://www.hawaii.edu/suremath/intro_algebra.html#PROBLIST
http://www.321know.com/grade7.htm#topic201
Properties of Numbers:
http://www.eyepleezers.com/aaamath/grade7.htm#topic88
Combine Like Terms and Translate and evaluate algebraic expressions:
http://www.eyepleezers.com/aaamath/grade7.htm#topic57
Computation with Fractions and Decimals:
http://www.eyepleezers.com/aaamath/grade7.htm#topic57
Solving equations
http://www.internet4classrooms.com/skills_7th_math.htm
http://www.hawaii.edu/suremath/intro_algebra.html#PROBLIST
http://www.321know.com/grade7.htm#topic201
Your child has a copy of their password and username and the web site is:
http://riverdeep1.fultonstudents.org
http://riverdeep1.fultonstudents.org
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math·e·mat·ics
"math-'ma-tiks
The science of numbers.
The science of number operations.
The science of interrelations.
The science of combinations.
The science of generalizations.
The science of abstractions.
The science of space configurations.
The science of structure.
The science of measurement.
The science of transformations.
The language of .....
"math-'ma-tiks
The science of numbers.
The science of number operations.
The science of interrelations.
The science of combinations.
The science of generalizations.
The science of abstractions.
The science of space configurations.
The science of structure.
The science of measurement.
The science of transformations.
The language of .....