THINKING SKILLS: INTEGRATING LIBRARY RESOURCES WITH LEARNING OBJECTIVESKeeley Library August 22, 2000 
Book 1A, 1B 
COURSE:
(10503)?
Book 1A,, 1B (Is this Tech Prep Math ? 
NUMBER 
OBJECTIVES 
Note: Standard numbers with M = assumptions of prior knowledge  
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 Students will apply the rules of exponents to various problems. Short Answer 
Collaborative Work

1H2
1M5 1M9

CONTENT:
Estimation 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 to compare electronically generated answers to answers generated by mental math. True/ False 
Mathematics

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 

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 2M9

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 
Need to create guide for producing a graph or link to Microsoft or other tutorals here.

2H5
2M4

CONTENT:
Graphing Equations 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. dentify 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: ExplanationStudents work in pairs to find the sum of angles in various polygons. Short answer 
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 
Collaborative Work

3H8
2M6

CONTENT: Finding
a PatternTriangular 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 
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 construct graphs 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.


5H5
5M8

CONTENT:
Plotting and Graphing Students design
a fair game and provide justification for fairness
PERFORMANCE Graph, Diagram and Explanation Students will present games they invented to their classmates Presentation 
Collaborative Work

5H6
5M6

CONTENT: Probability
:Describe the differences
between the theoretical probability of simple events and the experimental
probability from simulation. Use tree diagrams, tables and lists to describe
sample spaces and and to calculate probabilities of independent
and dependent events.
PERFORMANCE: Problem Solving: Students work in groups to formulate and compare experimental and theoretical probabilities. 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