Mathematics-Grade 4
Objectives:
Preparation:
Students must be taught the four problem solving
strategies listed above. They must get several days practice in using
the strategies to become confident and fluent in using the strategies.
Activities:
1. Students are put into heterogeneous groups
of 4 or 5 students. The students are given a math word problem.
The word problems are constructed by the teacher ahead of time to insure
that one of the strategies taught would be appropriate in solving the problem.
2. The students solve the problem as a group discussing the strategy to use and showing all their work.
3. Once the group has successfully solved the problem they break down the steps necessary in solving the problem and list on chart paper.
4. As a whole group the teacher leads a discussion on movies and the use of cue cards. Students are instructed that they will be using cue cards to create an instructional video for their problem solving strategy. The teacher models the creation and use of cue cards.
5. Back in their groups, for each step listed
on the chart paper the group must write a script for modeling the strategy.
For each step the script is written on one piece of construction paper
to act as a cue card. The group creates one cue card for each step
in their problem solving
strategy model.
6. The students practice following the cue cards with each student getting a turn in front of the pretend camera. The students evaluate and edit their cue cards until they are satisfied that they have a complete model of the problem solving strategy they used.
7. In a whole class setting the students practice their problem solving procedure using the cue cards for the whole class. The class offers constructive criticism.
8. Back in their groups the students do the final editing of their instructional video script.
9. The whole class is given instruction in the proper use of the digital video camera.
10. For filming, the teacher supervises one group at a time to ensure success in filming.
11. The teacher helps each group load their digital video to the eMac computer. The teacher then instructs the group on how to put in titles and transitions and assists in editing using I Movie.
12. The teacher assists each group in burning the I Movie to a CD or DVD.
13. The I Movies are shown to the class in a showcase event. The I Movies can be kept on CD as a modeling tool for future students undertaking this project.
Michigan Mathematics Content Standards and Benchmarks covered by this lesson:
I. Patterns, Relationships, and Functions
Content Standard 1 - Patterns
Benchmark 1. Recognize, describe, and extend numerical
and
geometric patterns.
Benchmark 2. Represent and record patterns and relationships in a
variety of ways including tables, charts, and pictures.
Benchmark 3. Apply experiences with patterns to help solve problems
and explore new content.
IV. Number Sense and Numeration
Content Standard 1 - Concepts and Properties of Numbers
Benchmark 4. Apply understanding of number systems to model and
solve problems.
Content Standard 2 - Representation and Uses of Numbers
Benchmark 1. Represent whole numbers, fractions, and decimals using
concrete, pictorial, and symbolic representations.
Benchmark 4. Develop strategies for estimating quantity and evaluate
the reasonableness of estimates.
Benchmark 5. Select appropriate numbers and representations in order
to solve problems.
Content Standard 3 - Number Relationships
Benchmark 5. Apply understanding of number relationships in solving
problems.
V. Numerical and Algebraic Operations and Analytical Thinking
Content Standard 1 - Operations and Their Properties
Benchmark 2. Develop and apply the appropriate method of
computation from among mental computation, estimation, paper and
pencil or calculators; explain why they are choosing a method and how
they know which operations to perform in a given situation.
Benchmark 4. Apply operations efficiently and accurately in solving
problems.
Content Standard 2 - Algebraic and Analytical Thinking
Benchmark 3. Find replacements for the variable(s) in open sentences.
Benchmark 4. Use analytical thinking to describe situations and solve
problems.
VI. Probability and Discrete Mathematics
Content Standard 2 - Discrete Mathematics
Benchmark 1. Use manipulatives and diagrams to explore problems
involving counting and arranging objects.
NETS Standards for Students Grade 3 – 5
Performance Indicators covered by this lesson:
1. Use keyboards and other common input and output devices
efficiently and effectively.
2. Discuss common uses of technology in daily life and the
advantages and disadvantages those uses provide.
3. Discuss basic issues related to responsible use of
technology and information and describe personal consequences of
inappropriate use.
4. Use general purpose productivity tools and peripherals to
support personal productivity, remediate skill deficits, and facilitate
learning throughout the curriculum.
5. Use technology tools for individual and collaborative
writing, communication, and publishing activities to create knowledge
products for audiences inside and outside the classroom.
8. use technology resources for problem solving, self directed
learning, and extended learning activities.