Curriculum Guide: Math 3rd Quarter 8/7/2013 7 th Gr. Math, 3rd Quarter GRADE: 7 Unit of Study: Geometry Classifying Polygons Resources: Book Holt Mathematics Course 1, Ch. 8, Pgs 436-450; Packet by department Length of Study: 3-4 weeks Unit of Study: Geometry Area, perimeter, and circumference Resources: Book Holt Mathematics Course 1, Ch. 10, Pgs 542-558; Packet by department Length of Study: 3 4 weeks Unit of Study: Resources: Length of Study: Standard: 7.3 Benchmarks 7.3.1 The student will use selected measurement tools to find length 7.3.2 The student will use area, perimeter, and circumference formulas Standard: Standard: Writing: Journals Benchmarks Benchmarks Benchmarks - Using unit vocabulary - Dispositions on math 1
ASSESSMENT RECOMMENDATIONS Content Standards: 8/7/2013 7 th Gr. Math, 3rd Quarter Benchmark 7.3.1 The student will use selected measurement tools to find length Skills Skills Skills Skills Computation Problem Solving UBD Application UBD Application UBD UBD Possible Assessments FOR Learning PI Activity Use protractor to find angle measurements Required Assessments OF Learning Selected Response Chapter test (textbook) Essay Provide an explanation how to find the measurement. Assessment Chapter project (textbook) Personal Communication Share with the class situations where they would use each the measurement in a real life setting 2
8/7/2013 7 th Gr. Math, 3rd Quarter Language Arts Standard: Benchmark: 7.3.1 SUGGESTED INSTRUCTIONAL STRATEGIES WHOLE GROUP Activities: PI Activity Find different circular objects. Use a ruler to measure the length of the diameter. Record the findings. Wrap a string around the circular objects once. Mark the string, and measure its length. Record the findings. Repeat with different size objects. Graph the ordered pair (d, c) on a coordinate plane; divide the circumference by the diameter. Compare the results. The student will use selected measurement tools to find length Generating and testing hypotheses HIGH PERFORMING STUDENT Activities: Derive AVERAGE a formula for PERFORMING the circumference STUDENT of a circle. Skills (UBD): Application Homework and Practice Cooperative learning AVERAGE PERFORMING STUDENT Activities: Practice finding measurements and applying them to the situation LOW PERFORMING STUDENT Activities: Work with a partner to find the measurements and explore the findings. Similarities and Differences ELL Activities: Compare new vocabulary to similar terms 3
ASSESSMENT RECOMMENDATIONS Content Standard: 8/7/2013 7 th Gr. Math, 3rd Quarter Benchmark 7.3.2 The student will use area, perimeter, and circumference formulas to solve problems. Skills Skills Skills Skills Computation Problem Solving UBD Application UBD Application UBD UBD Possible Assessments FOR Learning Area Hands On Lab Use geoboards to discover area Required Assessments OF Learning Selected Response Unit Test (Textbook) District Assessment Essay Verbalize how to find the perimeter, circumference and area of each figure Assessment Chapter Project Personal Communication Listen to student discussions regarding area, perimeter, and circumference. 4
8/7/2013 7 th Gr. Math, 3rd Quarter Content Standard: Benchmark: 7.3.2 The student will use area, perimeter, and circumference formulas to solve problems. SUGGESTED INSTRUCTIONAL STRATEGIES WHOLE GROUP Activities: Hands on Lab Using graph paper, draw a rectangle and count the squares to find the area. Discuss quicker ways to count the squares l x w also the formula for area. Cut off a corner of the rectangle and place it at the opposite side. Notice the area is the same. Derive the formula for area of a parallelogram. Next find the formula for the area of a triangle by cutting a rectangle in half. Finally find the area of a trapezoid by cutting a trapezoid in half to form a parallelogram. Questioning and Cues HIGH PERFORMING STUDENT Activities: AVERAGE PERFORMING STUDENT How might we justify that the area of a rectangle is similar to the area of a parallelogram? Skills (UBD): Application Explanation Similarities and differences Questioning and Cues AVERAGE PERFORMING STUDENT Activities: Compare the area of a rectangle, parallelogram, triangle, and trapezoid. How are they similar? How are they different? LOW PERFORMING STUDENT Activities: Ask questions to assess prior knowledge of relationships between rectangles, parallelograms, triangles, and trapezoids. Non-linguistic representations ELL Activities: Students can physically see how the areas relate. 5
ASSESSMENT RECOMMENDATIONS Content Standard: 8/7/2013 7 th Gr. Math, 3rd Quarter Benchmark Skills Skills Skills Skills UBD UBD UBD UBD Possible Assessments FOR Learning Required Assessments OF Learning Selected Response Essay Assessment Personal Communication 6
8/7/2013 7 th Gr. Math, 3rd Quarter Content Standard: SUGGESTED INSTRUCTIONAL STRATEGIES WHOLE GROUP Activities: Benchmark: HIGH PERFORMING STUDENT Activities: AVERAGE PERFORMING STUDENT AVERAGE PERFORMING STUDENT Activities: Skills (UBD): LOW PERFORMING STUDENT Activities: ELL Activities: 7
8/7/2013 7 th Gr. Math, 3rd Quarter REQUIRED KEY CONTENT WORDS Area Perimeter Base Height Circumference Acute angle Acute triangle Angle Complementary Congruent Decagon Diameter Equilateral Heptagon Isosceles Line of symmetry Nonagon Obtuse angle Obtuse triangle Octagon Pentagon Polygon Quadrilateral Regular polygon Rhombus Right angle Right triangle Scalene Similar Straight angle Trapezoid Triangle Vertex Radius 8