| Curriculum Map 2006-2007 | |||
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The Dwight School |
| Period | Content | Purpose/ Objectives | Activities & Resources | Areas of Interaction | Assessments | |
| (No Unit Name) | Introduction to Algebra. Operations and numbers. The study of algebraic techniques with knowledge of numbers , operations and their properties. |
To use variables when translating verbal expressions into mathematical expressions. To write equations using the basic operations. To solve equations with one operation, variables on each side of the equation, and fractional equations. To develop confidence in the use of algebraic methods in problem solving. |
Creating self developed algebra equations. |
How is algebra a vital part of scientific experimentation? |
Formative: Daily practice and Homework. Journal: questions analyzing formulas. Lab: Using counters to perform operations. Summative: Quiz and Test. Mental math practice to perform basic equations in their head. Portfolio: choose your favorite word problem and pace a note next to it detailing why. |
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| (No Unit Name) | Linear Functions. Equations involving inequalities. |
To use linear equations and their graphs to model real-life situations. To graph linear equations using a variety of techniques. To identify equations of vertical, horizontal and parallel lines. To identify the slope and y-intercept of a line from its equation and vice versa. To identify rate of change from graphs. To write, solve and graph linear inequalities in one variable, including compound inequalities. To solve absolute value equations and inequalities. |
Group work to solve problems. Mini-project to introduce functions and their graphs. |
How do you make sense of a linear relationship? What is the scope of understanding and interpreting rate of change in real-life situations? How is a linear equation graphed? |
Daily homework assignments to review and reinforce class work. Quiz to assess grasp of equations of straight lines. |
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| (No Unit Name) | Systems of linear equations and inequalities. Exponential growth and decay. Exponents and scientific notation. |
To solve a system of two linear equations by using graphing, substitution and linear combinations. To multiply and divide expressions with exponents, including zero and negative exponents. To use scientific notation to represent numbers and solve problems. To use exponential functions to solve real-life problems that involve exponential growth and decay. |
Group work to solve problems. |
Application of scientific notation and exponential growth and decay to many scientific problems. Why study systems? What are the real world applications of systems? What other disciplines use systems regularly? |
Daily homework assignments. Quiz to assess students' ability to use a variety of methods to solve systems of linear equations and inequalities, and their grasp of exponents and exponential growth and decay. |
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| (No Unit Name) | Scatter plots, mean, median, mode. Box and whisker plots. |
To learn to use the above to assess and interpret data. |
Group work to solve problems. Project involving collection and analysis of data. |
What constitutes the best fit line? What is the average length of a leaf? How normal are we? How are statistics useful in my life? Why study statistics? |
Formative: Quiz and test to assess grasp of term's material. |
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| (No Unit Name) | Quadratic Equations |
To evaluate and approximate square roots. To simplify radicals. To solve a quadratic equation using the most appropriate method. To sketch the graph of a quadratic function. |
Lab: Sketching graphs of quadratic functions. Partner work posing and solving quadratic equations. |
Where in life are polynomials used? Why study polynomials? How can the knowledge of polynomials enhance my understanding of real world problems and solutions? |
Formative: Daily Homework problems reinforcing class work. Summative: Quiz to assess grasp of square roots and radicals, quiz to assess quadratic equations and graphs of their functions. |
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| (No Unit Name) | Ratio and proportion. Factoring polynomials |
To use the distributive property to factor polynomials. To recognize the difference of two perfect squares. Factoring by grouping. Factoring quadratic trinomials. Solving quadratic equations by factoring. |
Practice problems in class. Speed problems for efficiency. Oral math contest problems for participation. Trading off self-created problems for mastery. |
Polynomials are essential in the world of space science....How do they impact this field? What is the role of polynomials in the classroom.....their importance to the development of the mathematical mind. |
Formative: Daily homework practice with timed problems. Summative: Quiz and test with written problems asking for the correct procedure to solve a problem. |
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| (No Unit Name) | Percentages, proportions, direct and inverse variation. |
To solve all kinds of percentage problems. To solve rational equations. To add, subtract, multiply and divide and simplify rational expressions. To use direct and inverse variation. |
Investigation: direct and inverse variation. Practice problems in class. Speed problems for efficiency. |
How do we use percentages in everyday life? Examples of direct and inverse variation from science. |
Formative: Daily practice problems and homework. Summative: Quiz to assess grasp of material. |
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| (No Unit Name) | Rational Expressions |
To express a rational expression in its simplest form. To solve more complex equations that involve fractions. To add/subtract rational expressions with unlike denominators |
Daily problems to solve in class. Daily homework assignments to reinforce the class work. Partner work to solve the more complex equations. Timed questions to develop a good pace. |
The ability to work competently and fluently with rational expressions is mathematically essential. What is meant by 'simplest form'? How will my knowledge of this unit help me understand more complex mathematics? |
Formative; Daily homework assignments. Summative: Quiz to assess ability to manipulate complex rational expressions. |
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| (No Unit Name) | Radical expressions. Review for Final |
To solve radical equations and graph radical functions. To add, subtract, multiply and divide radical expressions. To apply the Pythagorean theorem. To review the year's work in preparation for the final exam. |
Daily homework assignments to reinforce concepts covered in class. Investigation for Pythagoras's Theorem. Use radical equations to solve real-life problems, such as the speed of a pole-vaulter and the centripetal force a person experiences on a fairground ride. |
How do you compute basic operations involving radical expressions? How do you solve equations involving radical expressions? How do you apply your knowledge of radicals in solving problems involving distance? |
Formative: Homework problems Summative: Quiz to assess grasp of concepts. End of year final exam. |
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| (No Unit Name) | Final Exams |
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