THINKING SKILLS: INTEGRATING LIBRARY RESOURCES WITH LEARNING OBJECTIVESKeeley Library June 14, 2000 

GEOMETRY 
NUMBER 

Keeley Library Resources : Click on the Internet Links in the First Column on the Left.  
Discussions, Debates, Persuasive Essays

3H1
1M16 4M8

CONTENT:
Inductive and Deductive Reasoning Students
use deduction to establish the validity of geometric conjectures, and to
prove theorems in Euclidean geometry. Identify the properties of operations
on integers and rational numbers, including closure, associativity, commutativiity,
distributivity, identity and inverse. Generalize the relationships between
the number of sides and the sums of the angle measures of polygons
PERFORMANCE: Proof Students organize and execute a formal proof alone. Proof 
Team Product/Collaborative Work

3H2
4M1 3M10

CONTENT:
Constructing Geometric Figures
Students
construct congruent and similar figures. Solve problems involving
proportional relationships and units of measurement. e.g. scale models,
maps and speed. Use technology, straightedge, compass or other tools to
formulate and test conjectures and to make geometric constructions. Use
technology, straightedge, compass or other tools to formulate and test
conjectures and to make geometric constructions.
PERFORMANCE: Construct Construct scale drawings in a group. Students demonstrate leadership and membership skills in a group. Group Projects 
Mathematics

3H3
3M8

CONTENT:
Angle Relationships Students derive
and apply properties of angles, arcs, chords, tangents, and secants to
solve problems involving circles. Describe angles formed by intersecting
lines, and relationships among them.
PERFORMANCE: Problem Solving Students identify and calculate angle sizes and relationships alone. Short Answers. 
Mathematics

3H4
3M4 2M10 2M8

CONTENT:
Parallel and Perpendicular Lines Apply
the geometry of linear graphs to parallel and perpendicular lines, and
perform and interrupt transformation of coordinates. Graph points on the
Cartesian coordinate plane and identify coordinates of points. Identify
the slope of a line as a constant rate of change from its table of
values ,equation and graph. Apply the concept of slope to the solution
of problems. Demonstrate proficiency in solving linear equations and their
applications using technology, graphs, and algebraic methods.
PERFORMANCE: Problem Solving: Students show and understand parallel and perpendicular lines and relationships of angles. Short Answer 
Related Engineering pages: 
3H5
1M2 2M5 3M1

CONTENT:
Trigonometric Ratios Apply trigonometric
ratios in right triangles to solve problems. Apply ratios and proportions
to the solution of problems. Model situations with proportional relationships
and solve problems. Identify properties of polygons.
PERFORMANCE: Problem Solving: Students solve real world problems by determining and applying the appropriate trig ratio. Problem Solving and Explanation 
Team Product/Collaborative Work

3H6
3M9 3M5

CONTENT:
Similarity :
Students apply and interpret
transformation on figures in the coordinate plane. Predict the results
of transformations of the new coordinate plane and draw the transformed
figure. Describe and perform transformations on shapes, e.g. translations,
rotations, and reflections
PERFORMANCE: Problem Solving, Diagram Students work in groups to scale objects. Graph/ Construction. 
The following guide may also be useful for students who need to locate statistics for projects. Statistics

3H7
5H7

CONTENT:
StatisticsLine of Best Fit Students describe
characteristics of discrete geometry and apply to the solution of problems.
Differentiate between continuous and discrete data and ways to represent
them.
PERFORMANCE: Graph : Students shall draw a line or graph of best fit based on statistical data. Graph 
Team Product/Collaborative Work

3H8
2M6

CONTENT:
Finding a Patterm: Triangular Numbers Identify
and describe geometric patterns of change using recursive notation. Describe,
complete, extend, analyze, generalize, and create a wide variety of patterns,
including iterative, and recursive (e.g. Pascal's triangle) and linear
and non linear functional relationships.
PERFORMANCE: Diagram, Problem Solving Students work in groups to recognize a pattern, then translate that pattern into a formula that will generate the 80th triangular number. Short answers 
Oral Presentations, Posters, etc.

4H1
4M9

CONTENT:
Students
relate changes in the measurement of one attribute of an object to changes
in other attributes. Apply formulas and procedures for determining measures,
including areas of polygons, and volumes and surface areas or prisms, cylinders,
and spheres.
PERFORMANCE: Using given dimensions and calculated areas of solid figures, students shall draw conclusions in a small group setting. Explanation of conclusions drawn in group work. 
Team Product/Collaborative Work

4H2
3M10

CONTENT:
Tools of Geometry Use simple tools (such
as a clinometer) to solve indirect measurement problems. Use technology,
straightedge, compass or other tools to formulate and test conjectures
and to make geometric constructions.
PERFORMANCE: Measure and Construct Angles Students will work in groups to construct models using various measurement tools. Short Answer and True/False 
Mathematics

4H3
3M11

CONTENT:
Similarity Apply the ratio of similarity
including the geometric means and the relationships of special triangles.
Classify figures in terms of congruence and similarity, and apply these
relationships to the solution of problems.
PERFORMANCE: Diagram & Problem Solving Students will use ratios & proportions to solve problems involving similar figures. . Short answers 
Need to add guide or links for generating a schematic

4H4
1M13

CONTENT:
Finding the Area of an Irregular Figure Describe
the effect of rounding on measurements and computed values from measurements.
Estimate results of computations with whole numbers, fractions, decimals
and percents.
PERFORMANCE: Graph, Diagram, Estimation Students working individually will generate a schematic on graph paper depicting both underestimations and overestimations for the area of an irregular figure, then use these estimations to find the "best approximate area" for the irregular figure. Graph 
Mathematics

4H5
4M9

CONTENT:
Volumes Apply formulas for surface
area and volume .Apply formulas and procedures for determining measures,
including areas of polygons, and volumes and surface areas or prisms, cylinders,
and spheres.
PERFORMANCE: Problem Solving Given radius, diameter and height, students will calculate volumes using appropriate formulas. . Short answer 
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Jane Constant, Reference Librarian
Keeley Library, B.M.C.Durfee High School
of Fall River
September, 1978 to June, 2001