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Interactive Mathematics Program: Year 3

door Daniel M. Fendel

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Consists of textbook and individual teacher's guides to each unit ; includes single chapter, Fireworks, from textbook. In Fireworks, the first unit of Year 3, students continue algebraic investigations they began in the Year 2 unit Solve It!, focusing on quadratic expressions, equations, and functions. Studying a rockets parabolic trajectory, students utilize algebra to find the vertex of the graph, strengthening their understanding of the connections between algebra and geometry. - Back cover. In Orchard Hideout, the second Year 3 unit, students analyze how the trees in a circular orchard grow to form a hideout. Students apply relationships between the circumference, area, and radius of a circle, and they develop and combine a variety of skills from coordinate geometry, synthetic geometry, and trigonometry. They learn the general equation of a circle and how to find the radius and center of a circle when it is expressed as an equation in standard form. They also discover the existence of circumscribed and inscribed circles for triangles, and develop the distance and midpoint formulas. - Back cover. Meadows or Malls?, the third Year 3 unit, extends the concepts of linear programming problems with two variables introduced in the Year 2 unit Cookies. Students develop a strategy for solving linear programming problems in several variables and solve systems of linear equations using the elimination method and matrix algebra. The unit introduces the concepts of identity elements and inverses, and develops the understanding that inverses of matrices are the key to solving linear systems. - Back cover. In Small World, Isnt It?, the fourth Year 3 unit, students use world population data to study a variety of situations involving rates of growth. They develop the concept of slope and then generalize this to the idea of the derivative, the instantaneous rate of growth. Students study the derivatives of exponential functions and discover a property of exponential functions that makes them good choices to model population data. - Back cover. In Pennant Fever, the fifth and final Year 3 unit, two baseball teams contend for the pennant, and the central problem is to find the probability that the leading team will win. Students use area and tree diagrams to build a probability model, explore the principles of permutations and combinations, and come to see the role that combinatorial coefficients play in probability. The unit also introduces Pascals triangle and the application of the binomial theorem. - Back cover. The IMP Year 3 Calculator Guide for the TI-81, TI-2, and TI-83 requires no prior experience with graphing calculators. The guide is arranged in an easy-to-use format for quick reference by unit and by day. Notes to the teacher explain how graphing calculators augment or facilitate particular activities or homework assignments. Blackline master pages, with helpful tips on using the calculator with specific class activities or related concepts, are ready to photocopy for distribution to students. - Back cover.… (meer)
Onlangs toegevoegd doorChoiceAcademy, dzmeyer, swat.emc, chicago
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Consists of textbook and individual teacher's guides to each unit ; includes single chapter, Fireworks, from textbook. In Fireworks, the first unit of Year 3, students continue algebraic investigations they began in the Year 2 unit Solve It!, focusing on quadratic expressions, equations, and functions. Studying a rockets parabolic trajectory, students utilize algebra to find the vertex of the graph, strengthening their understanding of the connections between algebra and geometry. - Back cover. In Orchard Hideout, the second Year 3 unit, students analyze how the trees in a circular orchard grow to form a hideout. Students apply relationships between the circumference, area, and radius of a circle, and they develop and combine a variety of skills from coordinate geometry, synthetic geometry, and trigonometry. They learn the general equation of a circle and how to find the radius and center of a circle when it is expressed as an equation in standard form. They also discover the existence of circumscribed and inscribed circles for triangles, and develop the distance and midpoint formulas. - Back cover. Meadows or Malls?, the third Year 3 unit, extends the concepts of linear programming problems with two variables introduced in the Year 2 unit Cookies. Students develop a strategy for solving linear programming problems in several variables and solve systems of linear equations using the elimination method and matrix algebra. The unit introduces the concepts of identity elements and inverses, and develops the understanding that inverses of matrices are the key to solving linear systems. - Back cover. In Small World, Isnt It?, the fourth Year 3 unit, students use world population data to study a variety of situations involving rates of growth. They develop the concept of slope and then generalize this to the idea of the derivative, the instantaneous rate of growth. Students study the derivatives of exponential functions and discover a property of exponential functions that makes them good choices to model population data. - Back cover. In Pennant Fever, the fifth and final Year 3 unit, two baseball teams contend for the pennant, and the central problem is to find the probability that the leading team will win. Students use area and tree diagrams to build a probability model, explore the principles of permutations and combinations, and come to see the role that combinatorial coefficients play in probability. The unit also introduces Pascals triangle and the application of the binomial theorem. - Back cover. The IMP Year 3 Calculator Guide for the TI-81, TI-2, and TI-83 requires no prior experience with graphing calculators. The guide is arranged in an easy-to-use format for quick reference by unit and by day. Notes to the teacher explain how graphing calculators augment or facilitate particular activities or homework assignments. Blackline master pages, with helpful tips on using the calculator with specific class activities or related concepts, are ready to photocopy for distribution to students. - Back cover.

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