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Transcript
Textbook Sections correlated to CMS common-core pacing guide
UNIT 1 PARALLEL AND PERPENDICULAR LINES
Students will be able to…
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Find the lengths of a line segment
Find the midpoint of a line segment
Determine angle relationships of intersecting lines
Write linear equations of parallel & perpendicular lines
Interpret slopes of parallel and perpendicular lines
Prove lines parallel or perpendicular
1.2 Points, Lines, and Planes
1.3 Measuring Segments
1.4 Measuring Angles
1.5 Exploring angle pairs
1.6 Basic constructions
1.7 Midpoint and Distance
2.6 Proving Angles Congruent
3.1 Lines and Angles
3.2 Properties of Parallel Lines
3.3 Proving Lines Parallel
3.4 Parallel and Perpendicular lines
3.6 Constructing Parallel and Perpendicular lines
3.7 Equations of Lines
3.8 Slopes of Parallel/Perpendicular lines
UNIT 2 TRANSFORMATIONS
Students will be able to…
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Identify symmetry in a figure
Perform transformations of figures
Identify transformations on a coordinate plane
9.1 Translations
9.2 Reflections
9.3 Rotations
9.5 Dilations
9.6 Composition of Reflections
UNIT 3 CONGRUENCE AND TRIANGLES
Students will be able to…
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Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if
corresponding pairs of sides and corresponding pairs of angles are congruent.
Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in
terms of rigid motions.
Use properties of Midsegments to solve problems
Use properties of perpendicular and angle bisectors to solve problems
3.5 Parallel Lines and Triangles
4.1 Congruent Figures
4.2 Triangle Congruence by SSS, SAS
4.3 Triangle Congruence by ASA, AAS
4.6 Triangle Congruence by HL
5.1 Midsegments of Triangles
5.4 Medians and Altitudes
UNIT 4 QUADRILATERALS
Students will be able to…
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Compute angle measures as well as the sums of interior and exterior angles of a polygon
Classify quadrilaterals
Apply properties of quadrilaterals and their diagonals
Use algebra to compute angle measures and side measures of a polygon
Use coordinate geometry to classify and prove relationships (i.e. theorems) among quadrilaterals
Write variable coordinates to figures in the coordinate plane
Compute area of triangles and quadrilaterals
6.1 The Polygon Angle-Sum Theorems
6.2 Properties of Parallelograms
6.3 Proving a Quadrilateral is a Parallelogram
6.4/6.5 Properties and Conditions of Rhombuses, Rectangles, and Squares
6.6 Trapezoids and Kites
6.7 Polygons in the Coordinate Plane
6.8 Applying Coordinate Geometry
UNIT 5 SIMILARITY AND TRIANGLE SIMILARITY
Students will be able to…
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Prove the AA Similarity Theorem
Determine whether two figures and/or triangles are similar using similarity transformations
Apply knowledge of similar triangles to solve problems, which include setting up proportions, and finding angle
measures & side lengths.
7.2 Similar Polygons
7.3 Proving Triangles Similar
7.4 Proving Right Triangles Similar
7.5 Proportions in Triangles
UNIT 6 TRIGONOMETRY
Students will be able to…
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Prove the Pythagorean Theorem using triangle similarity
Apply the properties of special right triangles to find side lengths
Set up trigonometric ratios in right triangles and use these ratios to solve problems (find side lengths and angle
measures).
Use the Pythagorean Theorem and trigonometric ratios to solve right triangles in applied math problems and word
problems.
8.1 Pythagorean Theorem and Its Converse
8.2 Special Right Triangles
8.3 Trigonometry
8.4 Angles of Elevation and Depression
UNIT 7 VOLUME
Students will be able to…
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Students will use formulas to find the volume of prisms, cylinders, pyramids, cones, and spheres.
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder,
pyramid, and cone.
Find the volume of cylinders, pyramids, cones, and spheres in contextual problems.
Apply concepts of density based on area and volume in modeling situations
Apply geometric methods to solve design problems
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11.2 Surface Areas of Prisms and Cylinders
11.3 Surface Areas of Pyramids and Cones
11.4 Volumes of Prisms and Cylinders
11.5 Volumes of Pyramids and Cones
11.6 Surface Areas and Volumes of Spheres
UNIT 8 CONIC SECTIONS – CIRCLES AND PARABOLAS
Students will be able to…
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Identify a tangent and use properties of tangent as it relates to a circle
Compute chord, arc, and angle measures
Find arc length given the arc’s central angle and the circle’s diameter or radius
Find lengths of segments related to circles and its intersecting lines
Write the equation of a circle given its center and radius
Identify conic sections
Write the equation of a parabola given its directrix and focus.
10.6 Circles and Arcs
12.1 Tangent Lines
12.2 Chords and Arcs
12.3 Inscribed Angles
12.4 Angle Measures and Segment Lengths
12.5 Circles in the Coordinate Plane
Algebra II: 10.2 Circles
Algebra II: 10.3 Parabolas
Algebra II: Completing the Square with Parabolas and Circles
UNIT 9 PROBABILITY
Students will be able to…
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Determine if theoretical or experimental probability is the best course of action to solve a problem.
Use dependent and independent computations to solve probabilities.
Algebra II: 11.1 Combinations and Permutations
Algebra II: 11.2 Probability
10.8 Geometric Probability
Algebra II: 11.3 Probability of Multiple Events
Algebra II: 11.4 Conditional Probability