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Geometry

Geometry

Blue B

GOALS/STANDARDS and BENCHMARKS:

·7.A.3aMeasure length, capacity, weight/mass and angles using sophisticated instru­ments (e.g., compass, protractor, trundle wheel).

·7.B.3Select and apply instruments includ­ing rulers and protractors and units of measure to the degree of accuracy required

·9.A.3aDraw or construct two- and three- dimensional geometric figures including prisms, pyramids, cylinders and cones.

OTHER OBJECTIVES:

  1. Students will learn to draw lines using 2 points (7.A.3a, 7.B.3)
  2. Students will learn to draw “infinite” number of lines through one point (7.A.3a, 7.B.3)
  3. Students will learn construct and name 2 dimensional shapes (polygons) using points and line segments (7.A.3a, 7.B.3, 9.A.3a)
  4. Students will learn to construct lines segments, angles within intersecting circles (7.A.3a, 7.B.3)
  5. Students will learn to construct congruent figures (7.A.3a, 7.B.3, 9.A.3a)
  6. Students will learn to construct angles using protractors and straight edges (7.A.3a, 7.B.3)
  7. Students will learn to construct circles and arcs using compasses (7.A.3a, 7.B.3)
  8. Students will learn to construct congruent figures using only a compass and a straight edge (7.A.3a, 7.B.3)
  9. Students will measure lengths of line segments, radii, diameters, etc using compasses only, and then determine if figures are congruent. (7.A.3a, 7.B.3)
  10. Students will construct large rods from newspapers (3 sheets rolled at diagonal into very tight, long rods)They will use these rods and construct very large geometric figures (9.A.3a)
  11. Students will discover that the large figure all require the shape of a triangle in order to stabilize the figure. (9.A.3a)

MATERIALS ARE KEPT BY: Angelica Zickgraf room 123

Materials

·SHARP pencils to help with accuracy

·Compasses

·Protractors

·Straight edges

·Colored pencils

·Tracing paper

·Newspaper

·Masking tape

·Meter stick and “chalkboard” compass and protractor for teacher demonstrations

·Handout:Measuring objects in the classroom to find perimeter and area

·Student Workbooks

Key to Geometry Book 1: Lines and Segments (Key Curriculum Press)
Key to Geometry Book 2: Circles (Key Curriculum Press)

 

STRATEGIES:

·Students will always use a straight edge when constructing lines, segments, rays, angles, etc.

·Students will use different colored pencils to construct different lines, segments, rays to aid them visually.

·Students will be taught how to hold a straight edge when drawing lines through exact points (the pencil point will be placed on the point and the straight edge will be brought up to the pencil)

·Precision will be stressed

·Students will learn how to measure with a protractor (with emphasis on which scale to use)

·Students will construct circles using a compass. (cardboard will be given to place under the pages to help hold the points steady)

·The point should be pressed lightly into the paper

·The compass should be held at the top between 2 fingers and twisted by leaning the compass slightly forward (in the direction the pencil is moving).Very little pressure is needed to draw a thin, light circle.

·Students will use proper vocabulary (bisect, intersect, line, line segment, ray, etc)

·Lines and circles will never be drawn free handed

 

ASSESSMENTS:

  1. Book 1 Assessment #1 Points and Lines p 17-18 (7.A.3a, 7.B.3, 9.A.3a)
  2. Book 1Assessment p 46-47(7.A.3a, 7.B.3, 9.A.3a)
  3. Book 1 Assessment p54-55 (7.A.3a, 7.B.3, 9.A.3a)
  4. Book 2 assessment #1 Handout (7.A.3a, 7.B.3, 9.A.3a)
  5. Book 2 assessment p 54-55 (7.A.3a, 7.B.3, 9.A.3a)
  6. Assess 3D constructions(9.A.3a)


CURRICULUM MAP

Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Week 8
Book 1 Lines and Segments Book 1 Lines and Segments Book 1 Lines and Segments Book 1 Lines and Segments
Book 2 Circles
Book 2 Circles Book 2 Circles Book 2 Circles Constructing 3D geometric shapes


DAY-BY-DAY LESSON PLANS

Book 1 Lines and Segments

Day 1:Drawing Lines p 3; drawing lines through points p 4-5; Line segments p 6

Day 2:Line segments p 7; Triangles p 8-10

Day 3:Quadrilaterals p 11-12; Pentagons p 13-14; Connecting points p 15-16; Points of intersection p 19-22

Day 4:Review; Assessment #1 p 17-18, Triangles and Naming Triangles p 29, 30, 38

Day 5:Constructing Triangles withsegments p 36, 40;Hexagons 41, 42

Day 6:Review p 34, 35, 45;assessment p 46-47

Day 7:Angles andRays p 48-49; congruent figures p 51-55

Day 8:Assessment p 54-55

 

Book 2 Circles

Day 8: learn how to use a compassp3-4

Day 9:Constructing and intersecting circlesp 5- 8, 10; radius of a circle p 11, 12, 13

Day 10:Intersecting circles p 14-16,Comparing segments 17, 21-25

Day 11: review p 18-19, Book 2 assessment #1;Handout

Day 12: Drawing a segment congruent to another segment p 26-30; arcs p32-33; radius of arcs p34-38

Day 13: Equilateral triangles p39-41; Constructing equilateral triangles p 47-50; Constructing Hexagons p50-51

Day 14: review p52-53 and assessment p 54-55

Day: 15:Start constructing LARGE 3D geometric figures using newspaper rods; cone to the conclusion that the figures need a triangle to be stable

Day 16: finish 3D figures and assess the figures