TFSD Unwrapped Standard Grade 7 - Math Grade 7 - Pre-Algebra (Skills specific to Pre-Algebra are noted in bold and underlined) Power Standard (s) Reference: Standard 4 - Geometry State Standard: 4.1 Apply concepts of size, shape, and spatial relationships 4.3 Apply graphing in two dimensions District Standard: 4.1 – 4.3 Understand and apply basic and advanced properties of the concepts of geometry and spatial sense 6.1 Understands the basics of the coordinate plane TFSD Power Standard: Students identify two and three-dimensional geometric figures. Students use the coordinate plane to plot points and graph lines and shapes Concepts: Need to know about (Nouns) • Coordinate Plane, Ordered Pairs • Translation/Slide, Rotation/Turn, Reflection/Flip • Two-dimensional figures: Triangle, Quadrilateral, Parallelogram, Rectangle, Rhombus, Square, Trapezoid, Circle, and other polygons up to ten sides • Three-dimensional figure: Rectangular Prism • Perimeter, Area, Surface Area, Circumference, Radius, Diameter, Base, Height, Depth, Volume, Faces, Vertices, Edges • Congruence, Similarity, Symmetry • Basic geometric constructions • Points, lines, angles, rays, line segment, plane • Acute, Right, Obtuse, Straight, Scalene, Isosceles, Equilateral Triangles • Measurement of segments and angles • Supplementary, Complementary angles • Parallel, Perpendicular, and Transversal lines, and Corresponding, Adjacent and Vertical Angles Skills: Be able to do (Verbs) • Recognize and identify the attributes of two and three-dimensional figures, especially: quadrilaterals, triangles, trapezoids, circles, rectangular prisms, pyramids, cylinders, and cones. • Apply area and perimeter concepts to irregular shapes, composite figures, and “region of a region” • Apply knowledge of ratio and proportion to solve relationships between similar and congruent geometric figures • Use coordinate graphs to plot points, lines, and simple shapes • Graph the translations, rotations, and reflections of simple shapes • Draw and measure various shapes using appropriate tools • Classify triangles by angles and by sides • Understand the sum of the angles of all triangles is equal to 180 degrees 2/6/2016 1 • • • Understand the sum of any two side lengths is greater than the third Explore the relationships among points, lines, planes, angles, and shapes Use TI-73 graphing calculators to explore ordered pairs and transformations. Identifying Big Ideas from Unwrapped Standards: 1. Perimeter and circumference is a distance around a figure (units), area and surface area is the inside space (units squared), and volume is how much a figure holds (units cubed). 2. Triangles can be classified by their sides and/or angles. 3. The angles in all triangles have a sum of 180 degrees. 4. Polygons are classified by the number of sides. 5. Similar triangles are proportional. 6. Ordered pairs are graphed on a coordinate plane. 7. A transversal line forms different types and pairs of angles. Essential Questions from Big Ideas to Guide Instruction and Assessment: 1. Compare and contrast perimeter, circumference, area, surface area, and volume. 2. How are triangles classified? 3. What is the relationship among angles of a triangle? 4. How are polygons classified? 5. How is a missing side of similar triangles calculated? 6. How are points, lines and simple shapes graphed? 7. What relationships are formed by parallel lines cut by a transversal? Possible Topics or Context: (what you will use to teach the concepts and skills-particular unit, lessons or activities) 2/6/2016 2