Download Unit 6 Learning Targets

Integrate 1 Unit 6 Patterns in Shape
IDENTIFYING STRENGTHS AND AREAS FOR IMPROVEMENT
Name:_______________________________ Test: __________________ Date: ____________
Step 1: As you take the test, mark whether you are “Confident” or “Unsure” of your answer to
each question.
Step 2: Please look at your corrected test and mark whether each problem is right or wrong. Then
look at the problems you got wrong and decide if you made a simple mistake. If you did, mark the
“Simple Mistake” column. For all the remaining problems you got wrong, mark the “Further
Study” column.
Question
Learning
Target #
Confident
Unsure
Right
Wrong
Simple
Mistake
Further
Study
Integrate 1 Unit 6 Patterns in Shape
STRENGTHS, REVIEW, AND FURTHER STUDY
Identify your areas of strength. Write down the learning target number and description. If the
question is not tied to a learning target, write down the problem numbers and problem description.
STRENGTHS:
Learning Target #
Learning Target or Question Number and Description
Identify your areas where you may have made simple mistakes. Write down the learning target
number and description. If the question is not tied to a learning target, write down the question
number and question description.
REVIEW:
Learning Target #
Learning Target or Question Number and Description
Identify the areas where you need to improve the most. These are problems you got wrong, but
not because of simple mistakes. Write down the learning target number and description. If the
question is not tied to a learning target, write down the question number and question description.
(limited to 3 areas)
HIGHEST PRIORITY FOR STUDYING:
Learning Target #
Learning Target or Problem Description
My Improvement Plan:
1. ___________________________________________________
2. ___________________________________________________
3. I will redo the problems I got wrong on my test.
Due: _______________
Integrate 1 Unit 6 Patterns in Shape
Target 1: Two-Dimensional Shapes
Key terms – you should be able to define and apply each key term:
Triangle Inequality Theorem – Triangle Sum Property – rigidity – triangles – quadrilaterals –
Pythagorean Theorem and converse – congruent – perpendicular bisector – opposite angles –
vertical angles
Properties and Formulas:
Pythagorean Theorem: a 2  b 2  c 2
c  a 2  b2
Triangle Inequality Theorem: Sum of two sides of a triangle must be greater than the 3rd side
Triangle Sum Property: The sum of the angles in a triangle equals 180 degrees
Congruence Theorems:
side-side-side (SSS)
side-angle-side (SAS)
angle-side-angle (ASA)
corresponding parts of congruent triangles are congruent (CPCTC)
Skills:
Learn and apply the Triangle Inequality Theorem and Triangle Sum Property and its relationship
to quadrilaterals
Investigate the rigidity of two-dimensional shapes
Use the congruence conditions (side-side-side, side-angle-side, side-angle-side, and angle-sideangle) to show two triangles are congruent (MS 9.3.2.4)
Use area and congruence relationships to justify why the Pythagorean Theorem and its converse
are true
Solve problems involving right triangles using the Pythagorean Theorem and other triangle
properties (MS 9.3.3.4 and MS 9.3.3.5)
Develop and use formulas to find areas of triangles and special quadrilaterals (MS 9.3.3.3)
Target 2: Polygons and Their Properties
Key Terms – you should be able to define and apply each key term:
Interior angles – exterior angles – central angels – line symmetry – rotational symmetry –
translational symmetry – regular polygons – pentagon – hexagon – tessellations – semiregular
tessellations – tilings
Formulas:
All Polygons:
Sum of Central angles = 360 degrees
Sum of exterior angles = 360 degrees
Sum of interior angles = (n  2) 180 , where n is the number of sides
Regular Polygons:
One central angle = 360/ n, where n is the number of sides
One exterior angle = 360/ n, where n is the number of sides
(n  2) 180
One interior angle =
, where n is the number of sides
n
Integrate 1 Unit 6 Patterns in Shape
Skills:
Discover and apply the properties of the interior, exterior, and central angles of polygons (MS
9.3.3.7)
Recognize and describe line and rotational symmetries of polygons and other two-dimensional
shapes (MS 9.3.3.7)
Determine if a polygon will tile a plane
Recognize and describe symmetries of tessellations including translation symmetry
Target 3: Three-Dimensional Shapes
Key Terms:
Polyhedra – rigid – vertices – edges – faces – convex – Descartes’ Theorem – Euler’s Formula for
Polyhedra - Non- convex – prisms – pyramids – apex – net - axis of symmetry – angle defect –
oblique – regular polyhedra
Formulas:
Angle of defect = 360 – m, where m is the measure of the interior angles that meet at that vertex
DesCartes’ Theorem = the sum of the defects of all of the vertices, is two full circles or 720°
Euler’s Formula for Polyhedra: V + F = E + 2
Skills:
Identify and describe important characteristics of common three-dimensional shapes including
prisms, pyramids, cones, and cylinders
Construct and sketch three-dimensional models and nets for these shapes
Recognize and describe the plane and rotational symmetries of polyhedra
Recognize whether a polyhedra is rigid and how to reinforce a polyhedra to produced one that is
rigid
Discover the Euler relationship involving the number of vertices, faces, and edges and Decartes’
Theorem concerning the face angles in any convex polyhedron
Explore the five regular polyhedra
Recall and use formulas for finding surface area and volume of common three-dimensional shapes
OYO #12-14. (MS 9.3.1.1 and MS 9.3.1.2)
Previously Learned Material
Pythagorean Theorem, Volume, Area, Surface Area, Permimeter, Definitions of special triangles
and quadrilaterals, tessellations, scale factors
Vocabulary Developed in this Unit
Triangle Inequality Theorem
Triangle Sum Property
Rigidity
Converse of the Pythagorean Theorem
Congruent
Perpendicular Bisector
opposite angles
vertical angles
line/plane symmetry
Interior Angles
Exterior Angles
Central Angles
Regular Polygons
Tiling a plane
Rotational symmetry
Vertices
Faces
Edges
Convex
Nonconvex
Apex
Midpoint