Livingston County Schools

Livingston County Schools Seventh (7th) Grade Unit 2 Math Unit Overview Unit 2: Introduction to Geometry (Hudd’s Lessons & Textbook Chapters 8, 9, 10) Students use geometric construction, as well as solve real-world and mathematical problems involving area, surface area, and volume of 2 and 3 dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. Length of unit: Initially, approximately 15 days with additional review prior to K-PREP testing

KY Core Academic Learning Target K R S P Critical Vocabulary Texts/Resources/Activities Standard 7.G.2 Draw (freehand, I can state the conditions which X Straightedge Hudd’s Activity Sheets with ruler and protractor, create unique triangles, more Protractor Text Chapters 8, 9, 10 and with technology) than one triangle, or no triangle. Compass Geometric Solids Lab geometric shapes with Ruler given conditions. Focus I can analyze given conditions Supplementary Angles on constructing triangles based on the three measures of X Complementary Angles from three measures of angles or lengths of sides of a Adjacent Angles angles or sides, noticing triangle to determine when there Vertical Angles when the conditions is a unique triangle, more than Acute triangle determine a unique one triangle, or no triangle. Equiangular triangle Right Triangle triangle, more than one I can construct triangles from X Obtuse Triangle triangle, or no triangle. three given angle measures to Scalene Triangle determine when there is a Isosceles Triangle unique triangle, more than one Equilateral Triangle triangle or no triangle using Regular Polygon appropriate tools (freehand, Cross-Section rulers, protractors, and 2-D technology). 3-D Cube Construct triangles from three X Pyramid given side measures to determine Prism when there is a unique triangle, Cone more than one triangle or no Cylinder triangle using appropriate tools Sphere (freehand, rulers, protractors, Polygon and technology). Quadrilateral 7.G.3 Describe the two- I can define slicing as making a X Parallelogram dimensional figures that cross-section of a 3D figure. Trapezoid result from slicing three- Rectangle dimensional figures, as in I can describe the two- Rhombus plane sections of right dimensional figures that result X Square rectangular prisms and from slicing a three-dimensional Pentagon right rectangular figure such as a right rectangular Hexagon pyramids. prism or pyramid. Septagorn Octagon Analyze three-dimensional X Nonagon shapes by examining two Decagon dimensional cross-sections. Undecagon 7.G.4 Know the formulas I can identify the parts of a X Dodecagon for the area and circle including radius, n-gon circumference of a circle diameter, area, circumference, Circle and use them to solve center, and chord. Radius problems; give an Diameter informal derivation of I can identify and approximate X Center the relationship between π Chord circumference and area π of a circle. I can state the formulas for area Circumference X Perimeter and circumference of a circle Area Lateral Surface Area Given the circumference of a X Surface Area circle, I can find its area. Volume

Given the area of a circle, I can X find its circumference. I can justify that π can be X derived from the circumference and diameter of a circle.

I can apply circumference or X area formulas to solve mathematical and real-world problems

I can justify the formulas for X area and circumference of a circle and how they relate to π

I can informally derive the X relationship between the circumference and area of a circle. 7.G.5 Use facts about I can identify and recognize X supplementary, types of angles: supplementary, complementary, vertical, complementary, vertical, and adjacent angles in a adjacent. multi-step problem to write and solve simple I can determine complements equations for an and supplements of a given X unknown angle in a angle. figure. I can determine unknown angle X measures by writing and solving algebraic equations based on relationships between angles. 7.G.6 Solve real-world I can state the formulas for area X and mathematical (triangle, rectangle, circle) and problems involving area, volume (right prisms). volume, and surface area of two- and three- I can find surface area (right X dimensional objects prisms). composed of triangles, quadrilaterals, polygons, I can use area, surface area, and cubes, and right prisms. volume in real-world problems X for two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

I can solve real-world problems X involving area, surface area and volume of two- and three- dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Common Assessments Developed (Proposed Assessment HOT Questions: Dates): What does area mean? Learning Check # 2 (Last day before Christmas Break) What does volume mean? Compare and contrast pyramids, prisms, cones, and cylinders. Make a polygon flowchart/venn diagram.