Algebra 1 ©2004 - Holt McDougal

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McDougal Littell ALGEBRA 1 correlated to the New Hampshire Mathematics Curriculum Framework • Use basic transformations to demonstrate similarity, symmetry, and congruence of figures. See McDougal Littell Geometry, pages: 395-443 • Explore relationships between synthetic and coordinate representations. See McDougal Littell Geometry, pages: 165-177, 243-249, 254, 343, 360, 426, 429, 646 • Apply principles of coordinate geometry, i.e., graph lines and circles and determine the slope and intercept of a line, mid-point of a line segment, the center and radius of a circle. TE: 203-255, 747-750 PE: 203-255, 747-750 • Understand the interrelationships between algebraic and geometric representations of the same mathematical concept. See McDougal Littell Geometry, pages: 166-176, 243-249 Proficiency Standards (4a): End of Grade 10: • Represent and solve problems using the properties of two- and three- dimensional geometric figures. See McDougal Littell Geometry, pages: 273, 277, 280, 285, 291, 298, 357, 378, 474, 478, 482, 487, 528, 532, 685, 688, 745 • Use technology, manipulatives, and/or coordinate geometry to deduce and explain the properties of and the relationships among geometric figures. See McDougal Littell Geometry, pages 39, 43, 228, 249, 270, 286, 291, 294, 326-317, 329, 354, 361, 547, 618, 628 • Translate between synthetic and coordinate representations. See McDougal Littell Geometry, pages: 165-177, 243-249, 254, 343, 360, 426, 429, 646 17
McDougal Littell ALGEBRA 1 correlated to the New Hampshire Mathematics Curriculum Framework 4b. K-12 Broad Goal: Students will develop spatial sense. PURPOSE: We live in a three dimensional world. To interpret, understand, and appreciate that world, students need to develop an understanding of space. Research suggests that there is a high correlation between spatial abilities and success in mathematics. Spatial skills include making and interpreting drawings, forming mental images, visualizing changes, and generalizing about perceptions in the environment. 7-12 Building upon the K-6 experiences, in grades 7-12: • Explore two-dimensional and three-dimensional geometry using shadows, perspectives, projections, and maps. See McDougal Little Geometry, pages: 15, 129, 132, 141, 188-189, 508, 512 • Explore the effects of reflections, translations, rotations, and dilations in the study of congruent and similar geometric shapes and tessellations. See McDougal Little Geometry, pages: 395-443 • Understand, model, describe, analyze, and apply patterns produced by processes of geometric change, formally connecting iteration, approximations, limits, self-similarity, and fractals. See McDougal Little Geometry, pages: 133, 291, 293, 556, 590-591 • Use manipulatives and computer graphics to enhance spatial sense and to increase understanding of geometry and to explore its connections to other parts of mathematics, science, and art. See McDougal Little Geometry, pages: 39, 43, 228, 249, 270, 286, 291, 294, 316-317, 329, 354, 361, 547, 618, 628 • Explore other geometries and their applications (for example, non-Euclidean geometries have significant applications in science). See McDougal Little Geometry, pages: 714-715 18
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Algebra 1 ©2004 - Holt McDougal

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