THINKING SKILLS: INTEGRATING LIBRARY RESOURCES WITH LEARNING OBJECTIVESKeeley Library Revised August 21, 2000 


NUMBER 
OBJECTIVES 
Keeley Library Resources : Click on the Internet Links in the First Column on the Left.  
Mathematics

1H1
1M11

CONTENT:
Operations with Exponents :
Students apply
operations with powers and roots, including fractional and negative exponents,
to the solution of problems. Apply powers and roots to solution of problems.
Extend the order of operations to include exponents.
PERFORMANCE: Problem Solving: Apply the rules of exponents to various problems. Short answer 
Collaborative Work

1H2
1M5 1M9

CONTENT:
Estimating
Skills :
Use Estimation to judge the reasonableness
of results of computations and of solutions to problems involving real
numbers. Estimate results of computations with whole numbers., fractions,
decimals, and percentages. Estimate and compute with fractions, decimals,
percentages, and integers.
PERFORMANCE: Problem Solving Students work in groups tocompare electronically generated answers to answers generated by mental math. True/ False 

2H1
1M7 1M11

CONTENT:
Order of Operations Demonstrate
facility in transforming polynomial expressions by rearranging and collecting
terms, factoring, and applying and applying the properties of exponents
in order to solve problems. Apply the order of operations, including parentheses.
Apply the powers and roots to the solution of problems. Extend the order
of operations to include exponents.
PERFORMANCE: Explanation Students look at completed computations and determine which are correct. Short answer 
Collaborative Work

2H2
2M2 2M7

CONTENT:
Solving Word Problems:
Students identify
problem situations that lead to linear, quadratic, or exponential equations
and solve by applying appropriate graphical, tabular, or symbolic methods.
Students describe strategies for solving linear equations using concrete
models, tables, graphs, and paperpencil methods. Students analyze and
extract information from graphs.
PERFORMANCE: Problem Solving Students work in groups to read problems and formulate equations. short answer 
Collaborative Work

2H3
2M2

CONTENT:
Solving Word Problems
Use Algebra and
graphical methods to solve systems of linear equations and
inequalities, and describe relationships between different solution
methods. Describe strategies for solving linear equations using concrete
models, tables, graphs, and paper pencil methods.
PERFORMANCE: Problem Solving Students will work in groups to solve word problems. Short answers 
Collaborative Work

2H4
1M16

CONTENT:
Working with Matrices Use systems of equations
or inequalities to represent mathematical relationships and to solve
problems. Identify the properties of operations on integers and rational
numbers, including closure, associativity, commutativiity, distributivity,
identity and inverse. Represent and solve singlevariable inequalities
using symbols and graphs.
PERFORMANCE: Explanation of Matrices Students will work in groups to solve various matrices problems Short answer 
The following guide may also be useful for students who need to locate statistics for projects. 
2H5
2M4

CONTENT:
Students describe similarities and differences
among the families of linear, quadratic, and exponential functions using
graphs, tables, formulas and verbal descriptions Describe the graphical
significance of parameters.
PERFORMANCE: Produce a Graph from a Linear Equation Students work in groups to produce tables and graphs. Produce a graph 
Collaborative Work

2H6
2M11

CONTENT:
Direct and Inverse Variation Students
will solve problems involving direct and inverse variation. Explain and
generalize how a change in one variable results in a change in another
variable in functional relationships...
PERFORMANCE: Solve Problems Involving Direct and Inverse Variation Students will work in groups to solve problems involving real world direct and inverse variations.. Short answer 
Collaborative Work

3H1
1M16 4M8

CONTENT
Sum of the Angles of a Polygon 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: Explanation Students work in pairs to find the sum of angles in various polygons. Short answer 

3H2
4M1 3M10 3M11

CONTENT:
Geometric Constructions: Students construct
congruent and similar figures using a compass, straightedge, manipulaitves
and other tools.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. Classify figures in terms of congruence
and similarity, and apply these relationships to the solution of problems
PERFORMANCE Problem solving and Diagrams: Students will demonstrate a proficient use of geometric tools and problem solving Fill in the blanks, Geometric construction 
Preparing for Oral Presentations, Posters, etc.

3H3
3M8

CONTENT:
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: Students work in groups to construct posters involving circles. Multiple choice, true/false, cooperative activities 
Mathematics

3H4
3M4 2M10 2M8

CONTENT:
Parallel and Perpendiculars 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: Explanation : Student works alone to determine if a pair of lines are parallel, perpendicular, or neither. Short answer 

3H5
3M7 3M8

CONTENT:
Applying Trigonometric Ratios Apply trigonometric
ratios in right triangles to solve problems. Explain the meaning of the
Pythagorean Theorem, and apply the theorem to the solution of problems.
Describe angles formed by intersecting lines, and relationships among them.
PERFORMANCE: Problem Solving and Diagrams Student will solve similar triangles, problems with trig ratios, and percents. Short answer, True/ False, Fill in the blanks 
Collaborative Work

3H6
3M9 3M5 
CONTENT:
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: Students work in groups to scale objects. Graph/ Construction. 
Collaborative Work

3H7
1M11

CONTENT:
S Graph Theory Students describe characteristics
of discrete geometry and apply to the solution of problems. Apply powers
and roots to solution of problems. Extend the order of operations to include
exponents.
PERFORMANCE: Graph and Diagram: Students will work in groups to plot points, recognize patterns, and predict sequential figures Short answer 

4H1
3M7

CONTENT:
Equipment Forms Use deduction to
establish validity of geometric conjectures and to prove theorems in Euclidean
Geometry. Explain the meaning of the Pythagorean Theorem, and apply the
theorem to the solution of problems.
PERFORMANCE: Tables and Graphs Groups produce tables and graphs from equation Short answer/Essay 
Collaborative Work

4H2
4M6

CONTENT:
Measurement Skills Use simple tools (such
as a clinometer) to solve indirect measurement problems. Use proportions
to model and solve indirect measurement problems.
PERFORMANCE: Diagrams, Explanations Students will work in groups to construct models using various measurement tools. Group projects, Short Answers 

4H3
4M1

CONTENT:
Using Similar Triangles Apply the ratio
of similarity including the geometric means and the relationships of special
triangles. Solve problems involving proportional relationships and units
of measurement. e.g. scale models, maps and speed.
PERFORMANCE: Diagram and Solve a Similar Triangle Students work in groups to construct similar triangles. Short answers 
Collaborative Work

4H4
Estimate Results of computations

CONTENT:
Weighted Averages Describe the effect
of rounding on measurements and computed values from measurements. Estimate
results of computations with whole numbers, fractions, decimals and percents.
PERFORMANCE: Problem Solving Students solve problems in pairs. Short answers 
Mathematics

4H5
4M9

CONTENT:
Surface , Areas and Volume 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 and Explanation Students will find surface areas and volumes of real world shapes. Short answers 
Collaborative Work

5H1
5M1

CONTENT:
Plotting Points Represent data in
a scatter plot. Use the scatter plot to make predictions. Describe data
sets using the concepts of median, mean, mode, maximum and minimum, and
range.
PERFORMANCE: Graph Students work in pairs to plot points Short answers 
Collaborative Work

5H2
2M7

CONTENT:
Graphing Equations: Find the "Line of
Best Fit" from a set of data. Use tables an graphs to compare linear,
quadratic and exponential growth patterns.
PERFORMANCE: Graphs, Tables and Equations Students work in groups to produce graphs, ordered pairs, and equations. Graphs/Short answer 
Collaborative Work

5H3
5M5 5M10

CONTENT:
Plotting and Graphing Select an appropriate
graphical representation for a set of data and use appropriate statistics, (e.g. mean, median, range, quartile, or percentile distribution to communicate information about data. Choose and apply appropriate measures of central tendency (mean, median, and mode) to represent a set of data. Use boxandwhisker plots to represent data sets and identify outliers. PERFORMANCE Graph and Diagram Students will work in groups to and line plots that involve mean, median, mode. Short answers, Fill in the blanks, Group Activities 

5H4
5M8 5M4

CONTENT:
Experiments With Sample Data Students
describe the effect of sample size and population size on the validity
of predictions from a set of data. Design a fair game, and provide
justification for fairness. Make inferences about a
characteristic of a population from a well constructed sample. e.g. capture, recapture. Find probabilities of events with equally likely outcomes. PERFORMANCE: Explanations Students take surveys in groups to predict outcomes. Students demonstrate the ability to speak and write effectively.... Short Answer 

5H5
5M8

CONTENT:
Plotting and Graphing Students design
a fair game and provide justification for fairness. Make inferences about
a characteristic of a population from a well constructed
sample. e.g. capture, recapture PERFORMANCE Graph, Diagram and Explanation Students will present games they invented to their classmates 
Note.The
following guide may also be useful for students who need to locate statistics
for projects. Statistics
We would also like to add links for online tutorials to cover items assumed to be already learned, and to help students who missed learning these concepts because of illness, etc. Microsoft has a number of tutorials. As we locate this information, we will place it as links in the file, Using Computers for Assignments. Constructive criticism and suggestions are welcomed. 