THINKING SKILLS: INTEGRATING LIBRARY RESOURCES WITH LEARNING OBJECTIVES
Keeley Library Revised August 21, 2000
THINKING SKILLS: INTEGRATING LIBRARY RESOURCES WITH LEARNING OBJECTIVESKeeley Library Revised August 21, 2000 |
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| COURSE: 10101, 10122, ALGEBRA I |
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OBJECTIVES |
| Note: Page numbers below refer to Glenco Algebra I Standard numbers with M= assumptions of prior knowledge | ||
| Keeley Library Resources : Click on the Internet Links in the First Column on the Left. | ||
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1H1
1M11
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CONTENT:
Operations with Monomials :
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, Explanation: Students will work in groups to solve a compound interest problem on how to save for college (p553). Essay, Open Ended |
| Mathematics
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1H2
1M5 1M9
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CONTENT:
Estimating: :
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, Explanation The consumerism task on page 136, Problem 59 (Glenco) Short answer. |
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2H1
1M7 1M11
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CONTENT:
Evaluation with Formulas:
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: Diagram, Computation, Problem Solving: Students will work in groups to write polynomials which represent areas of shaded regions. Short answer |
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The following guide may also be useful for students who need to locate statistics for projects.
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2H2
2M2 2M7
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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 paper-pencil methods. Students analyze and
extract information from graphs.
PERFORMANCE: Problem Solving, Explanations, Interpret Graphs : Cooperative activity on Population Growth on page 647, #13/ (Glenco) |
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The following guide may also be useful for students who need to locate statistics for projects.
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2H3
2M2
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CONTENT:
Systems of Equations:
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: Graphing, Problem Solving: Business problem: Balzoe Balloon Balls - find profits, losses, and analyzing graphs. |
| Mathematics
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2H4
1M16 2M9
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CONTENT:
Solve Systems of Equations:
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 single-variable
inequalities using symbols and graphs.
PERFORMANCE: Problem Solving: The Geography, page 489, #44: Find coordinates of points, solve equations. Short answer |
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The following guide may also be useful for students who need to locate statistics for projects. Note: We would like to add links for online tutorials here to cover items assumed to be already learned, and to help students who missed learning concepts because of illness, etc. Microsoft has a number of tutorials. We will place them in the file, Using Computers for Assignments, as we find them. |
2H5
2M4
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CONTENT:
Equations as Relations: :
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.Students will be able
to analyze graphs, and solve linear equations.
PERFORMANCE: Graphs, Charts: Students demonstrate the skills needed for the productive use of technology. page 274, # 7 solving a linear equation by completing the chart. Short answer, fill-in-the- blank |
| Mathematics
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2H6
2M11
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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: Problem solving : Page 277, #53 solving a problem with direct variation. Short answer |
| Mathematics
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3H5
3M7 3M8
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CONTENT:
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: Produce a Hyposometer and Use it to Measure a Building: Page 209, Making a Hyposometer Open Response |
| Mathematics
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3H7
1M11
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CONTENT:
Patterns and Sequences:
Describe characteristics
of Discrete Geometry (graph theory) and apply the solution to problems.
Apply powers and roots to solution of problems. Extend the order of operations
to include exponents.
PERFORMANCE: Producing a List of Numbers Which Follow a Pattern.: Students will work alone on page 500, #39 to find the number of parts that it breaks. Short answer |
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4H1
3M7
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CONTENT:
Formulas and Equations 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: Diagram, Problem Solving: Students will work in groups to find perimeter, area, length, and width. Page 130, #13 Open-ended, short answer. |
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4H2
4M6
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CONTENT:
Simple Constructions:
Use simple tools
(such as a clinometer) to solve indirect measurement problems. use proportions
to model and solve indirect measurement problems.
PERFORMANCE: Building a Hyposometer: Students will construct a hyposometer. Page 209 Open-ended |
| Mathematics
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4H3
4M1
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CONTENT:
Using Proportional Reasoning:
Apply the
ratio of similarity including the geometric means and the relationships
of special triangles.S olve problems involving proportional relationships
and units of measurement. e.g. scale models, maps and speed.
PERFORMANCE: Diagrams, Problem Solving: Playing billiards. Page 205, #32 Open-ended |
| Mathematics
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4H4
prior knowledge: Estimate Results of Computations |
CONTENT:
Solving Word Problems:
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 and Explanation: Students find how many dozen of cookies were sold. page 236, #5 Short answer |
| Mathematics
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4H5
4M9
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CONTENT:
Math Modeling
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: Diagram, Problem Solving, Explanation and Model Surface area, math modeling problem, page 128 Short answer and open-ended. |
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Collaborative Work
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5H1
5M1
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CONTENT:
Ordered Pair: :
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 Graphing, Diagram: Students will work together on page 343, #9. Open ended. |
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Collaborative Work
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5H2
2M7
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CONTENT
Line of Best Fit:
Find the "line of best
fit" from a series of data. Use tables and graphs to compare linear, quadratic,
and exponential growth patterns.
PERFORMANCE: Graph, Problem Solving, Explanation: Students will work together to solve problem #10 on page 343 Open-ended, short answer |
| Mathematics
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5H3
5M5 5M10
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CONTENT:
Statistical Analysis:
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
box-and-whisker plots to represent data sets and ;identify outliers.
PERFORMANCE: Problem Solving: Students will solve problem #25 on page 311 Short answer |
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Collaborative Work
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5H4
5M8 5M4
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CONTENT:
Design a Fair Game :
Describe the effects
of sample size and population size on the validity of predictions from
a set of data. Design a "fair game" and provide a 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: Diagram, Problem Solving Students will work together on page 415, #6 Open-ended |
| Mathematics
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5H5
5M8
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CONTENT:
Probability of Earned Team Points 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: Interpret Graphs, Problem Solving: Sports problem, finding the chances of an event. p.232, #41 Short answer, open ended |