|
|
|
EAST LONGMEADOW PUBLIC SCHOOLS |
|
2006 - 2007 DISTRICT CURRICULUM GUIDES |
|
Mathematics - Geometry: All Levels |
|
|
Congruence/Similarity: Apply/Justify
The learner will be able to
apply congruent and similar correspondences and properties of figures to determine missing parts of shapes, and provide a logical justification.
| Strand |
Scope |
Source |
| Congruence/Similarity/Symmetry |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.5 |
|
Triangles: Inequalities/Problems/Proofs
The learner will be able to
obtain problem solutions and prove theorems by applying the triangle inequality and other inequalities related to triangles.
| Strand |
Scope |
Source |
| Triangles |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.10 |
|
Points: Set/Draw/Label
The learner will be able to
draw and label a set of points.
| Strand |
Scope |
Source |
| Planes/Points/Lines |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.1 |
|
Polygons: Special
The learner will be able to
apply the properties of sides, diagonals, and angles in special polygons, and recognize their parts and special segments.
| Strand |
Scope |
Source |
| Polygons |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.1 |
|
Solids: Identify/Projections
The learner will be able to
identify the projections of solid shapes.
| Strand |
Scope |
Source |
| Three-Dimensional Solids |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.16 |
|
Solids: Identify/Cross Sections
The learner will be able to
identify the cross sections of solid shapes.
| Strand |
Scope |
Source |
| Three-Dimensional Solids |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.16 |
|
Congruence/Similarity: Draw/Instruments
The learner will be able to
draw congruent and similar shapes using a compass, a straightedge, a protractor, or computer software.
| Strand |
Scope |
Source |
| Congruence/Similarity/Symmetry |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.4 |
|
Lines: Parallel/Apply/Solve Problems
The learner will be able to
apply the properties of parallel lines to obtain problem solutions.
| Strand |
Scope |
Source |
| Lines: Parallel/Perpendicular |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.6 |
|
Angles: Solve/Properties
The learner will be able to
obtain solutions to problems by applying the properties of angles.
| Strand |
Scope |
Source |
| Angles |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.6 |
|
Triangles: Solve/Basic Problem/Angle Sum
The learner will be able to
obtain solutions to basic triangle problems by applying the triangle sum property.
| Strand |
Scope |
Source |
| Triangles |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.7 |
|
Triangles: Solve Problems/Pythagorean
The learner will be able to
obtain solutions to basic triangle problems by applying the Pythagorean Theorem.
| Strand |
Scope |
Source |
| Pythagorean Theorem |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.7 |
|
Triangles: Solve Problems/Special
The learner will be able to
obtain problem solutions by applying the properties of special triangles.
| Strand |
Scope |
Source |
| Triangles |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.8 |
|
Circles: Apply/Properties/Solve Problems
The learner will be able to
apply the properties of arcs, radii, chords, tangents, and secants to obtain problem solutions.
| Strand |
Scope |
Source |
| Circles |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.6 |
|
Transformation: Interpret
The learner will be able to
develop interpretations of transformations of figures in the coordinate plane.
| Strand |
Scope |
Source |
| Transformations |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.15 |
|
Transformation: Problem Solving
The learner will be able to
solve problems using transformations.
| Strand |
Scope |
Source |
| Transformations |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.15 |
|
Transformations: Draw/Coordinate Plane
The learner will be able to
draw the results of a transformation of a figure on the coordinate plane.
| Strand |
Scope |
Source |
| Transformations |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.15 |
|
Proofs: Write/Basic/Theorems
The learner will be able to
write basic proofs for theorems in geometry.
| Strand |
Scope |
Source |
| Proofs |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.2 |
|
Proofs: Apply/Contradiction
The learner will be able to
apply proof by contradiction.
| Strand |
Scope |
Source |
| Proofs |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.2 |
|
Logic: Write/Inverse
The learner will be able to
write the inverse of a conditional statement.
| Strand |
Scope |
Source |
| Logic |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.2 |
|
Logic: Write/Converse
The learner will be able to
write the converse of a conditional statement.
| Strand |
Scope |
Source |
| Logic |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.2 |
|
Logic: Write/Contrapositive
The learner will be able to
write the contrapositive of a conditional statement.
| Strand |
Scope |
Source |
| Logic |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.2 |
|
Symmetry
The learner will be able to
determine if a given shape is symmetrical.
| Strand |
Scope |
Source |
| Symmetry |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.1 |
|
Connecting: Geometry/Algebra/Circles
The learner will be able to
illustrate an understanding of the connection between algebraic and geometric representations of circles.
| Strand |
Scope |
Source |
| Connecting |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.14 |
|
Constructions: Formulate/Conjectures
The learner will be able to
formulate conjectures about construction techniques.
| Strand |
Scope |
Source |
| Constructions |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.4 |
|
Problem Solving: Apply
The learner will be able to
apply vertex-edge graphs in order to model problems.
| Strand |
Scope |
Source |
| Problem Solving |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.17 |
|
Problem Solving: Apply
The learner will be able to
apply vertex-edge graphs in order to obtain solutions to problems.
| Strand |
Scope |
Source |
| Problem Solving |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.17 |
|
Spatial Thinking: 3D
The learner will be able to
visualize a three dimensional object.
| Strand |
Scope |
Source |
| Spatial Thinking |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.16 |
|
Polygons: Identify/Special
The learner will be able to
identify special polygons.
| Strand |
Scope |
Source |
| Polygons |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.1 |
|
Polygons: Regular/Find/Interior/Angles
The learner will be able to
find the interior angles for regular polygons.
| Strand |
Scope |
Source |
| Polygons |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.1 |
|
Mathematical Concepts: Theorem/Postulate
The learner will be able to
differentiate between a theorem and a postulate.
| Strand |
Scope |
Source |
| Mathematical Concepts |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.2 |
|
Reasoning: Apply/Inductive
The learner will be able to
apply inductive reasoning.
| Strand |
Scope |
Source |
| Reasoning |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.2 |
|
Reasoning: Apply/Deductive
The learner will be able to
apply deductive reasoning.
| Strand |
Scope |
Source |
| Reasoning |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.2 |
|
Conjectures: Verify/Logical Arguments
The learner will be able to
apply logical arguments to verify conjectures.
| Strand |
Scope |
Source |
| Conjecture/Argument |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.4 |
|
Perimeter: Compute/Basic Shapes
The learner will be able to
compute the perimeter of basic shapes.
| Strand |
Scope |
Source |
| Perimeter |
Master |
MA: Curriculum Framework, 2000, Geometry, G.M.1 |
|
Area: Compute/Basic Shapes
The learner will be able to
compute the area of basic shapes.
| Strand |
Scope |
Source |
| Area |
Master |
MA: Curriculum Framework, 2000, Geometry, G.M.1 |
|
Area: Determine/Lateral/Formula
The learner will be able to
determine the lateral area of a prism, pyramid, sphere, cylinder, and cone when presented with the formula.
| Strand |
Scope |
Source |
| Area |
Master |
MA: Curriculum Framework, 2000, Geometry, G.M.2 |
|
Circumference: Compute/Basic Shapes
The learner will be able to
compute the circumference of basic shapes.
| Strand |
Scope |
Source |
| Circumference |
Master |
MA: Curriculum Framework, 2000, Geometry, G.M.1 |
|
Surface Area/Cone: Calculate Formula
The learner will be able to
use the appropriate formula to calculate the surface area of a cone.
| Strand |
Scope |
Source |
| Surface Area |
Master |
MA: Curriculum Framework, 2000, Geometry, G.M.2 |
|
Volume of a Prism: Calculate/Formula
The learner will be able to
determine the volume of prisms using a given formula.
| Strand |
Scope |
Source |
| Volume |
Master |
MA: Curriculum Framework, 2000, Geometry, G.M.2 |
|
Measurement: Changes
The learner will be able to
describe how changes in the measure of one attribute of an object may affect the other measures.
| Strand |
Scope |
Source |
| Measurement: Analysis |
Master |
MA: Curriculum Framework, 2000, Geometry, G.M.3 |
|
Measurement Analysis: Dimensional
The learner will be able to
verify the reasonableness of expressions and equations by applying dimensional analysis.
| Strand |
Scope |
Source |
| Measurement: Analysis |
Master |
MA: Curriculum Framework, 2000, Geometry, G.M.5 |
|
Measurement Analysis: Unit Conversion
The learner will be able to
apply dimensional analysis for unit conversion.
| Strand |
Scope |
Source |
| Measurement: Analysis |
Master |
MA: Curriculum Framework, 2000, Geometry, G.M.5 |
|
Accuracy: Explain/Error/Effects/Measure
The learner will be able to
explain the effects of estimated error in measurements.
| Strand |
Scope |
Source |
| Accuracy |
Master |
MA: Curriculum Framework, 2000, Geometry, G.M.4 |
|
Accuracy: Explain/Error/Effects/Rounding
The learner will be able to
explain the effects of estimated error when rounding measurements.
| Strand |
Scope |
Source |
| Accuracy |
Master |
MA: Curriculum Framework, 2000, Geometry, G.M.4 |
|
Accuracy: Explain/Error/Effects
The learner will be able to
explain the effects of estimated error on calculated measurement values.
| Strand |
Scope |
Source |
| Accuracy |
Master |
MA: Curriculum Framework, 2000, Geometry, G.M.4 |
|
Formula: Volume/Cylinders
The learner will be able to
apply the formula for the volume of a cylinder.
| Strand |
Scope |
Source |
| Formulas |
Master |
MA: Curriculum Framework, 2000, Geometry, G.M.2 |
|
Formulas: Surface Area/Prism
The learner will be able to
use a formula to determine the surface area of a prism.
| Strand |
Scope |
Source |
| Formulas |
Master |
MA: Curriculum Framework, 2000, Geometry, G.M.2 |
|
Formulas: Surface Area/Cylinder
The learner will be able to
use a formula to determine the surface area of a cylinder.
| Strand |
Scope |
Source |
| Formulas |
Master |
MA: Curriculum Framework, 2000, Geometry, G.M.2 |
|
Formulas: Surface Area/Sphere
The learner will be able to
use a formula to determine the surface area of a sphere.
| Strand |
Scope |
Source |
| Formulas |
Master |
MA: Curriculum Framework, 2000, Geometry, G.M.2 |
|
Formulas: Volume/Sphere
The learner will be able to
use a formula to determine the volume of a sphere.
| Strand |
Scope |
Source |
| Formulas |
Master |
MA: Curriculum Framework, 2000, Geometry, G.M.2 |
|
Formula: Find/Surface Area/Pyramid
The learner will be able to
find the surface area of a pyramid when presented with the formula.
| Strand |
Scope |
Source |
| Formulas |
Master |
MA: Curriculum Framework, 2000, Geometry, G.M.2 |
|
Formula: Find/Volume/Pyramid
The learner will be able to
find the volume of a pyramid when presented with a formula.
| Strand |
Scope |
Source |
| Formulas |
Master |
MA: Curriculum Framework, 2000, Geometry, G.M.2 |
|
Formula: Find/Volume/Cone
The learner will be able to
find the volume of a cone when presented with a formula.
| Strand |
Scope |
Source |
| Formulas |
Master |
MA: Curriculum Framework, 2000, Geometry, G.M.2 |
|
|
Real Numbers and the Coordinate Plane
|
|
|
Coordinate Geometry: Compute
The learner will be able to
compute the midpoints of segments, the distance between two points, and the slope of lines and line segments using rectangular coordinates, as well as applying the results to obtaining problem solutions.
| Strand |
Scope |
Source |
| Coordinate Geometry |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.12 |
|
Slope: Describe/Significance
The learner will be able to
describe the significance of a positive, negative, zero, or undefined slope.
| Strand |
Scope |
Source |
| Slope |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.11 |
|
Slope: Determine From Graph
The learner will be able to
use the graph of a linear equation to determine the slope.
| Strand |
Scope |
Source |
| Slope |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.11 |
|
Coordinate Geometry: Apply/Formulas
The learner will be able to
apply formulas of a rectangular coordinate system to obtain proofs of theorems.
| Strand |
Scope |
Source |
| Coordinate Geometry |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.3 |
|
Linear Equations: Graph
The learner will be able to
find the equation of a line when given its graph.
| Strand |
Scope |
Source |
| Linear Equations |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.11 |
|
Linear Equations: Understand/Forms
The learner will be able to
illustrate an understanding of the relationships between the various presentation forms of lines.
| Strand |
Scope |
Source |
| Linear Equations |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.11 |
|
Linear Equations: Intercepts
The learner will be able to
find the intercepts of a linear equation.
| Strand |
Scope |
Source |
| Linear Equations |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.11 |
|
Linear Equations: Slope
The learner will be able to
find the slope of a linear equation.
| Strand |
Scope |
Source |
| Linear Equations |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.11 |
|
Linear Equations: Geometric Explanation
The learner will be able to
determine the linear equation when presented with a geometric description of the line.
| Strand |
Scope |
Source |
| Linear Equations |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.11 |
|
Linear Equations: Determine/Equation
The learner will be able to
determine the equation of the line through a point that is either perpendicular or parallel to a particular line.
| Strand |
Scope |
Source |
| Linear Equations |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.13 |
|
Linear Equations: X-/Y-Intercepts
The learner will be able to
find the x- and y-intercepts of a line when given the graph of a linear relationship.
| Strand |
Scope |
Source |
| Linear Equations |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.11 |
|
Problem Solving: Apply/Sin/Cos/Tan
The learner will be able to
apply the sine, cosine, and tangent of an acute angle to obtain problem solutions.
| Strand |
Scope |
Source |
| Problem Solving |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.9 |
|
Trigonometric Concepts: Define/Sine
The learner will be able to
define the sine of an acute angle.
| Strand |
Scope |
Source |
| Trigonometric Concepts |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.9 |
|
Trigonometric Concepts: Define/Cosine
The learner will be able to
define the cosine of an acute angle.
| Strand |
Scope |
Source |
| Trigonometric Concepts |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.9 |
|
Trigonometric Concepts: Define/Tangent
The learner will be able to
define the tangent of an acute angle.
| Strand |
Scope |
Source |
| Trigonometric Concepts |
Master |
MA: Curriculum Framework, 2000, Geometry, G.G.9 |
|
|
