Number And Operation Objectives

 Students will be able to:

• read and write numbers using scientific notation
• read and write numbers using negative exponents
• interpret and display scientific notation on a calculator
• calculate the value of a number with a negative exponent
• demonstrate a mastery in addition, subtraction, multiplication, and division of integers

Honors Geometry Objectives

Students will be able to:

• identify and describe the attributes of similar plane figures
• compute the ratio of similitude (ratio of all corresponding sides)
• use proportions to determine the lengths of sides of similar figures
• use appropriate terminology to provide written justification for observed and discovered geometric relationships
• identify, apply and explain angle relationships (e.g. vertical, alternate interior/exterior, corresponding, supplementary, complementary, triangle-sum property)
• describe and draw figures on a coordinate graph under transformations: reflection, rotation, and magnification
• apply transformations to create and investigate tessellations
• define and apply knowledge of rotational symmetry to investigate properties of regular polygons (as mathematically defined)
• apply knowledge of transformations to determine if figures are congruent
• apply knowledge of transformations to determine if figures are similar
• visualize and draw three-dimensional objects in two dimensions using perspective representations using isometric representations
• create two-dimensional patterns (nets) to construct three-dimensional objects
• define, identify, locate and graph ordered pairs in the four quadrants of the Cartesian coordinate system
• calculate the perimeter and area of plane figures: triangles, circles, and quadrilaterals
• calculate the surface area and volume of three-dimensional figures: prisms, cylinders and pyramids
• calculate the perimeter and area of composite plane figures (e.g. semi-circles connected with a rectangle)
• calculate the surface area and volume of composite solid figures (e.g. cylinder with a cone attached)
• use proportions to solve problems (similar figures, scale drawings and maps, indirect measurement)
• solve geometric problems using the following strategies: create a model, draw a picture, create a table, apply transformations, find a pattern, or use technology (geometry software)
• demonstrate an understanding of the relationships between geometry and other academic areas such as the physical sciences and biological sciences
• demonstrate an understanding of the relationships between geometry and non-academic situations such as architecture, art, life sciences, and building trades
• demonstrate an understanding of the relationships between geometry and other mathematical concepts

Honors Measurement Objectives:

Students will be able to:

• use an appropriate unit when measuring  a desired attribute
• use the appropriate labels for perimeter and area of circles, quadrilaterals, and triangles
• express time as minutes or as fractional or decimal parts of an hour
• use a protractor to measure and draw angles to the nearest degree
• use a ruler to measure and draw segments to the nearest sixteenth of an inch or tenth of a centimeter (millimeter)
• convert units within the metric system
• convert units within the customary system
• compare relationships between the metric and the customary systems
• understand the relationships between linear, square, and cubic units
• select and use the appropriate unit to estimate perimeter and area of squares, rectangles, and triangles
• calculate distance using map scales
• calculate dimensions using scale drawings
• determine an appropriate scale to represent measurements of an actual figure
• create scale drawings and models
• understand the relationship between units of different measures to calculate rates

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