0009 Understand the principles of measurement.

 

0009-1   Identifying appropriate units for finding and expressing measurements

§         REVIEW/PRACTICE

·        A Dictionary of Units of Measurement

·        Systems of Measurement

·        All about measurements

·        Choosing appropriate measurement

0009-2    Demonstrating knowledge of selecting and using appropriate measurement tools

§         REVIEW/PRACTICE

·        Ask Dr. Math about measurement

·        Reading a Protractor or a Ruler

·        Units of Measure

·        Work with Measurements 

0009-3      Converting from one unit to another within the customary and metric systems of measurement

§         REVIEW/PRACTICE

·        Metric Conversion Chart

·        Metric Units and Converting between them

·        Cancelling/converting units - examples

·        Conversion problems

·        Metric conversion problems

0009-4     Solving problems involving perimeter, area, surface area, or volume of geometric figures and shapes

§         REVIEW/PRACTICE

·        Geometry Formula Review

·        Shape Explorer (area and perimeter)

·        Areas of Parallelograms (Examples)

·        Areas of Parallelograms (M/C)

·        Areas of Triangles, Trapezoids, and Rhombi (Examples)

·        Areas of Triangles, Trapezoids, and Rhombi (M/C)

·        Areas of Regular Polygons and Circles (Examples)

·        Areas of Regular Polygons and Circles (M/C)

·        Areas of Irregular Figures(Examples)

·        Areas of Irregular Figures(M/C)

·        Geometric Probability (Examples)

·        Geometric Probability (M/C)

·        Surface Area

·        Surface Area  (Vocabulary Review)

·        Nets and Surface Area (Examples)

·        Nets and Surface Area (MC)

·        Surface Areas of Prisms (Examples)

·        Surface Areas of Prisms (MC)

·        Surface Areas of Cylinders (Examples)

·        Surface Areas of Cylinders (MC)

·        Surface Areas of Pyramids (Examples)

·        Surface Areas of Pyramids (MC)

·        Surface Areas of Cones (Examples)

·        Surface Areas of Cones (MC)

·        Surface Areas of Spheres(Examples)

·        Surface Areas of Spheres(MC)

·        Volume

·        Volume (Vocabulary Review)

·        Volumes of Prisms and Cylinders (Examples)

·        Volumes of Prisms and Cylinders (M/C)

·        Volumes of Pyramids and Cones (Examples)

·        Volumes of Pyramids and Cones (M/C)

·        Volumes of Spheres (Examples)

·        Volumes of Spheres (M/C)

·        Word Problems

·        Area Problems

·        Perimeters of Polygons 

·        Area of Parallelograms and Triangles

·        Problem Solving Skills: Quantity and Cost 

·        Equivalent Ratios

·        Circumference and Area of a Circle

·        Proportions and Scale Drawings

·        Areas of Irregular Shapes

·        Shape Explorer activity

0009-5     Analyzing various views of three dimensional shapes

§         REVIEW/PRACTICE

·        cross sections

·        nets

·        Three-Dimensional Figures (Examples)

·        Three-Dimensional Figures (MC)

·        Language of Geometry

·        Polygons and polyhedra

·        Visualize and Name Solids 

·        Problem Solving Skills

·        Isometric Drawings

·        Perspective and Orthogonal Drawings 

·        Volume of Prisms and Cylinders

·        Volume of Pyramids and Cones 

·        Surface Area of Prisms and Cylinders

0009-6     Applying the concept of similarity, scale factors, and proportional reasoning to solve measurement problems

§         REVIEW/PRACTICE

·        Similarity

·        Scale factors

·        Proportions

·        Proportions

·        Similar Polygons

·        Similar Triangles

·        Parallel Lines and Proportional Parts

·        Parts of Similar Triangles

·        Fractals and Self-Similarity

0010 Understand principles of Euclidean geometry.

0010-1      Applying the language of mathematical argument

§         REVIEW/PRACTICE

·        Converse of a Statement

·        Inverse of a Statement

·        Reasoning and Proof (Vocabulary Review)

·        Logic and Truth Tables

·        Deductive Reasoning

·        Paragraph Proofs

·        Preparing for Two-Column Proofs

·        Two-Column Proofs

·        Coordinate Proofs

0010-2      Analyzing and applying properties related to points, lines, planes, and angles

§         REVIEW/PRACTICE

·        Informal Geometry Review

·        Points, Lines, Planes, and Angles (Vocabulary Review)

·        Points, Lines, and Planes (Examples)

·        Points, Lines, and Planes (M/C)

·        Linear Measure and Precision (Examples)

·        Linear Measure and Precision (M/C)

·        Distance and Midpoints (Examples)

·        Distance and Midpoints  (M/C)

·        Angle Measure(Examples)

·        Angle Measure (M/C)

·        Angle Relationships(Examples)

·        Angle Relationships (M/C)

·        Polygons (Examples)

·        Polygons  (M/C)

0010-3      Applying properties of similarity and congruence to solve problems and justify conclusions

§         REVIEW/PRACTICE

·        Congruence

·        Congruence

·        Similarity

·        Congruent and Similar Solids (Examples)

·        Congruent and Similar Solids (M/C)

·        Coordinates in Space (Examples)

·        Coordinates in Space (M/C)

0010-4      Analyzing and applying properties of triangles, quadrilaterals, and other polygons to solve problems and justify conclusions

§         REVIEW/PRACTICE

·        Properties of triangles

·        Pythagorean theorem

·        geometric inequality

·        Geometric Mean (Examples)

·        Geometric Mean (M/C)

·        The Pythagorean Theorem and Its Converse (Examples)

·        The Pythagorean Theorem and Its Converse (M/C)

·        Special Right Triangles (Examples)

·        Special Right Triangles (M/C)

·        Trigonometry (Examples)

·        Trigonometry (M/C)

·        Angles of Elevation and Depression (Examples)

·        Angles of Elevation and Depression (M/C)

·        The Law of Sines (Examples)

·        The Law of Sines (M/C)

·        The Law of Cosines (Examples)

·        The Law of Cosines (M/C)

·        Angles of Polygons (Examples)

·        Angles of Polygons (M/C)

·        Parallelograms (Examples)

·        Parallelograms (M/C)

·        Tests for Parallelograms (Examples)

·        Tests for Parallelograms (M/C)

·        Rectangles (Examples)

·        Rectangles (M/C)

·        Rhombi and Squares (Examples)

·        Rhombi and Squares (M/C)

·        Trapezoids (Examples)

·        Trapezoids (M/C)

·        Coordinate Proof and Quadrilaterals (Examples)

·        Coordinate Proof and Quadrilaterals (M/C)

0010-5      Analyzing and applying properties of circles, lines that intersect circles, and related angles to solve problems

§         REVIEW/PRACTICE

·        Secants

·        Tangents

·        Circles and Circumference (Examples)

·        Circles and Circumference (M/C)

·        Angles and Arcs (Examples)

·        Angles and Arcs (M/C)

·        Arcs and Chords (Examples)

·        Arcs and Chords (M/C)

·        Inscribed Angles (Examples)

·        Inscribed Angles (M/C)

·        Tangents (Examples)

·        Tangents (M/C)

·        Secants, Tangents, and Angle Measures (Examples)

·        Secants, Tangents, and Angle Measures (M/C)

·        Special Segments in a Circle (Examples)

·        Special Segments in a Circle (M/C)

·        Equations of Circles  (Examples)

·        Equations of Circles  (M/C)

0010-6      Applying the properties of two-and three-dimensional figures to solve problems

§         REVIEW/PRACTICE