I. Polygons and
Polyhedrons
A. Describe two- and three- dimensional
figures using:
a.
Number of sides
b.
Number of faces
c.
Number of vertices
d.
Number of diagonals
e.
Sum of interior angles
B. Perimeter, Surface Area, Area, and Volume
a.
Estimate
area by measuring, partitioning, and using formulas
b.
Circumference and area of circles
c.
Volume
and Surface area of:
i.
Cylinders
ii.
Triangular
prisms
C. Draw and Describe the results of:
a. Translations
b. Reflections
c. Rotations
d. Dilations
D. Congruence and Similarity
II. Lines and
Angles
A. Determine angle measure using a protractor
a.
Estimate
angle measures
B. Identify and determine missing angles
measures for:
a.
Adjacent
angles
b.
Vertical
angles
c.
Complementary
angles
d.
Supplementary
angles
C. Identify and determine missing angle
measures for:
a.
Corresponding
angles
b.
Alternating
interior angles
c.
Alternate
exterior angles
III.
Constructions
A. Use a compass and straightedge
to construct:
a.
Angles
b.
Rectangles
c.
Circles
Other geometric
figures
(BLUE FONT Topics covered in long-range
plan lesson plans.)
CHAPTER
8: GEOMETRY AND MEASUREMENT
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8A:
MEASUREMENT (MLO 3.0 KNOWLEDGE OF MEASUREMENT)
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Section |
Title |
MLO |
Vocabulary |
Activities |
|
|
1 |
Units of Measurement |
3.8.2 (2.7) Select tools and units to measure accurately
and determine the degree of precision. |
US Customary Units, Metric System |
(MFMT Skills – Metric) |
|
|
2 |
Significant Digits and Precision |
3.8.2 (2.7) Select tools and units to measure accurately
and determine the degree of precision. |
Precision, Significant Digits |
Bridges Math Lab (Pg 59) Decimal Measurements |
|
|
3 |
Position |
(SOCIAL STUDIES OUTCOMES) |
Absolute position,
Relative Position |
|
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8B: ELEMENTS OF
GEOMETRY (MLO 2.0 KNOWLEDGE OF GEOMETRY) |
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4 |
Lines and Angles |
2.8.2 Determine missing angle measures. (2.2) Determine angle measure using estimation, direct and
indirect measurements. Identify and determine the missing angle measures for adjacent, vertical, complementary and
supplementary angles. |
Angle, Vertex, Line, Line Segment, Ray; Straight, Right, Acute, Obtuse; Complementary Supplementary; Congruent; Angle bisector |
|
|
|
5 |
Parallel and Perpendicular Lines |
2.8.1 Identify parallel, perpendicular, intersecting and
skew lines and apply properties of parallelism and perpendicularity to
problem situations. 2.8.2 Identify and determine the missing angle measures for
corresponding, alternate interior and alternate exterior angles when parallel
lines are cut by a transversal. 2.8.3 Construct or draw geometric figures using tools and
technology (perpendicular bisector). |
Parallel, Perpendicular, Transversal, Interior Angle, Exterior
Angle, Alternate Angle, Corresponding Angle, Vertical Angle, Perpendicular
Bisector |
Bridges Math Lab (pg 515) Geometric Constructions |
|
|
6 |
Polygons |
2.8.1 Describe two- and three-dimensional geometric figures
using number of sides, faces, vertices, diagonals and sums of angles. 2.8.2 Classify triangles by sides and by angles. |
Polygon, Vertex, Equilateral, Isosceles, Scalene, Diagonal,
Regular Polygon, Convex, Concave |
Handout: NCTM book p.
10 Bridges Math Lab (pg 513) Triangle Inequalities: Is It or Isn’t It? Geodee’s Sorting Scheme, NCTM
book pg 86 Interior Angles of Polygons Lesson |
|
|
7 |
3-D Views |
2.8.1 Apply properties of two- and three-dimensional
figures to problem situations. |
|
Nets of polyhedrons Isometric Explorations,
NCTM Navigating Geometry p. 113 |
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ALSO COVER CONSTRUCTIONS:
§
2.8.3 Construct and draw geometric figures
using tools and technology (Use a compass and straightedge to construct angles,
rectangles, circles, and other geometric figures.).
CHAPTER 9:
AREA AND VOLUME
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9A:
PERIMETER, AREA, AND SURFACE AREA
|
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|
Section |
Title |
MLO |
Vocabulary |
Activities |
|
|
1 |
Perimeter
and Area of Polygons |
3.8.3b
(2.9) Estimate and determine the area of figures by measuring, partitioning
and using formulas. |
Perimeter,
Area |
Require students to
memorize formulas for area of triangles and parallelograms. |
|
|
2 |
Scale
and Area |
3.8.4
(2.11) Use proportions, ratios and scale drawings to solve problems. 2.8.4
(2.5) Draw and describe the results of…dilations. |
Dilation,
Scale
Factor |
|
|
|
3 |
Circles |
3.8.3a
(2.8) Estimate and determine the circumference and area of circles. |
Circumference,
Center, Radius, Diameter, Pi, Inscribed, Circumscribed |
Require students to memorize formulas for area and circumference of circles. Circumference Activity
|
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|
4 |
Surface
Area of Prisms and Cylinders |
3.8.3c
Estimate and determine the volume and surface area of cylinders, triangular
prisms, and other solids. |
Polyhedron,
Face, Edge, Vertex, Surface Area, Prism, Base, Cylinder |
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5 |
Surface
Area of Pyramids and Cones |
3.8.3c
Estimate and determine the volume and surface area of cylinders, triangular
prisms, and other solids. |
Pyramid,
Height,
Slant
Height |
Find
area by partitioning! |
|
9B: VOLUME |
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|
6 |
Volume
of Rectangular Prisms |
3.8.3c
Estimate and determine the volume and surface area of cylinders, triangular
prisms, and other solids. |
Volume Prism |
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7 |
Scale
and Volume |
3.8.4
(2.11) Use proportions, rates and scale drawings to solve problems. |
|
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|
8 |
Volume
of Prisms and Cylinders |
3.8.3c
Estimate and determine the volume and surface area of cylinders, triangular
prisms, and other solids. |
Cylinder |
Paper
Volume Activity |
|
|
9 |
Volume
of Pyramids and Cones |
3.8.3c
Estimate and determine the volume and surface area of cylinders, triangular
prisms, and other solids. |
Pyramid Cone |
|
|
ALSO
COVER:
§
3.8.3d
Determine relationships
between length, area, and volume and describe how a change in one measure
affects the others.
§
3.8.3b
Find areas of irregular shapes by partitioning.
CHAPTER 11:
SIMILARITY, CONGRUENCE AND TRANSFORMATIONS
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11A:
SIMILARITY AND CONGRUENCE
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|
Section |
Title |
MLO |
Vocabulary |
Activities |
||
|
1 |
Similar
Figures |
2.8.5
(2.6) Apply properties of congruence and similarity to solve problems. |
Similar,
Corresponding Angles, Corresponding Sides, Similarity
Ratio |
Extend Your Thinking 11-1 |
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|
2 |
Congruent
Figures |
2.8.5
(2.6) Apply properties of congruence and similarity to solve problems. |
Congruent
Polygons |
Extend Your Thinking 11-6 |
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|
3 |
Triangle
Congruence |
2.8.5
(2.6) Apply properties of congruence and similarity to solve problems. |
Side-Side-Side Side-Angle-Side Angle-Side-Angle Side-Angle-Angle |
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4 |
Trigonometry |
|
Adjacent
Leg, Opposite Leg, Trigonometric Ratios, Sine, Cosine, Tangent |
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5 |
Indirect
Measurement |
|
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11B: TRANSFORMATIONS |
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|
6 |
Transformations
and Congruence |
2.8.4
(2.5) Draw and describe the results of translations, reflections, rotations,
dilations, and combinations of transformations. |
Transformation Reflections,
Rotation, |
Translations, Reflections and
Rotations, NCTM book p 104 Transformations
on Cartesian Plane |
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|
7 |
Transformations
and Similarity |
2.8.4
(2.5) Draw and describe the results of translations, reflections, rotations,
dilations, and combinations of transformations. |
Dilation |
Bridges Math Lab (pg 630) Dilations
with String |
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|
8 |
Symmetry |
|
Symmetry,
Line
Symmetry, Line of Symmetry, Rotational Symmetry, Point Symmetry |
Escher
Problems Alphabet Symmetry NCTM book pg 109 Rotational Symmetry NCTM book pg 111 |
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9 |
Covering
the Plane |
|
Tessellation |
Bridges Math Lab (pg 518) Tessellations |
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Proposed Scope and Sequence for Pre-Algebra II
(Grade 8 Maryland Learning Outcomes)
|
Before Maryland School
Assessment |
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|
Week |
Date |
Area of Math |
Chapter |
Sections Covered |
|
1 |
Sep 8 |
Review |
Pretest/MFMT
Assessment |
|
|
2 |
15 |
6.0: Number Relationships and
Computation |
5A, 5-4 |
5-1
to 5-4 (Ratios, Proportions) |
|
3 |
22 |
6A, 6B |
6-1
to 6-3; Overview of Percent Change |
|
|
4 |
29 |
7A |
7-1
to 7-3 (Divisibility, GCF, LCM) |
|
|
5 |
Oct 6 |
7B |
7-4
to 7-6 (Operations with Rational Numbers) |
|
|
6 |
13 |
5, 6, 7 |
Maryland Functional Math Test Review |
|
|
7 |
20 |
7C |
7-7
to 7-9 (Squares and Square Roots, Pythagorean Theorem) |
|
|
8 |
27 |
1.0: Algebra, Patterns & Functions |
2A |
2-1
to 2-5 (Integers, Operations with Integers) – 2 weeks |
|
9 |
Nov 3 |
2A |
Operations
with Integers (cont’d) |
|
|
10 |
10 |
2B |
2-7
to 2-8 (Powers, Exponents, Scientific Notation) |
|
|
11 |
17 |
3A |
3-1
to 3-3 (Formulas and Expressions) |
|
|
12 |
24 |
3B |
3-4
to 3-7 (Equations and Inequalities) – 2 weeks |
|
|
13 |
Dec 1 |
3B |
Equations
and Inequalities (cont’d) |
|
|
14 |
8 |
4A, 4-4 |
4-1
to 4-4 (Two-Variable Relationships, Slope) |
|
|
15 |
15 |
10A |
10-1
to 10-4 (Functions) |
|
WINTER BREAK (DECEMBER 20 TO
JANUARY 4)
|
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|
16 |
Jan 5 |
4.0: Statistics |
1A |
1-1
to 1-3 (Central Tendency, Stem & Leaf Plots, Box and Whisker Plots) |
|
17 |
12 |
1A |
1-4
(Bar Graphs, Line Graphs), Circle
Graphs |
|
|
18 |
19 |
1B |
1-6,
1-7 (Organizing Data, Scatterplots & Trends) |
|
|
19 |
26 |
5.0: Probability |
12A |
12-1
to 12-3 (Counting Principle, Combinations, Permutation) |
|
20 |
Feb 2 |
12B |
12-4
to 12-5 (Probability, Experimental & Geometric Probability) |
|
|
21 |
9 |
12B |
12-6
to 12-7 (Conditional Probability, Independent and Dependent Events) |
|
|
22 |
16 |
3.0: Measurement And 2.0: Geometry |
8A, 8-4 |
8-1, 8-2,
8-4 (Units, Precision, Lines and Angles) and Constructions |
|
23 |
23 |
8B |
8-5, 8-6
(Parallel and Perpendicular Lines, Polygons) |
|
|
24 |
Mar 1 |
9A |
9-1 to 9-3
(Perimeter and Area, Circles, Area by Partitioning) |
|
|
25 |
8 |
11A |
11-1, 11-2
(Similarity and Congruence) |
|
|
26 |
15 |
11B |
11-6, 11-7
(Transformations) |
|
|
After MSA, prepare
students for Algebra I |
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