Shapes and Transformations - September
-
Identify rotated, reflected, and translated figures,with the option of using tracing paper
-
Rotate, reflect, and translate figures on a grid, with the option of using tracing paper
-
Characterize shapes in Venn Diagrams and probability
-
Use algebra in simple intuitive geometry problems (Review)
-
Evaluate expressions using Order of Operations (Review)
-
Solve linear equations (Checkpoint #1)
Angles and Measurements - September
-
Identify angle relationships, including Triangle Sum Theorem
-
Find the area of a triangle, parallelogram, and trapezoid
-
Identify shapes in the Shapes Toolkit
-
Find the slope of a perpendicular line (Review)
-
Graph two points on a grid and find the slope between them using a slope triangle (Review)
-
Find probability by counting the number of desired outcomes and dividing by the number of possible outcomes (Review)
-
Solve linear systems of equations (Checkpoint #2)
Justification and Similarity - October
-
Explore dilations using "rubber bands"
-
Identify corresponding parts on similar figures and use common ratios to find missing side lengths on figures
-
Determine if two shapes are similar
-
Create if-then conditional statements, and use that logic in forming flowcharts of situations
-
Use the triangle inequality to determine if three given side lengths could form a triangle or find the possible range of lengths of the third side given the lengths of the two other sides
-
Apply Pythagorean Theorem to find missing lengths in a diagram or contextual situation
-
Solve proportional equations (Review)
-
Multiply binomials (Review)
-
Write equations from multiple representations of linear functions (Checkpoint #3)
Trigonometry and Probability - November
-
Create a diagram based on information in a word problem, and identify a right triangle within that diagram
-
Use a calculator to find missing sides of a triangle using the tangent ratio
-
Use area and tree models to represent sample space for situations of chance, and use that model to calculate probability
-
Use flowcharts to prove similarity
-
Find area and perimeter of complex figures (Checkpoint #4)
Completing the Triangle Toolkit - December
-
Find the missing sides or angles of right triangles using sine, cosine, and tangent
-
Find the area and perimeter of a shape using trigonometry
-
Find the slope angle or the slope of the line segment on a coordinate grid using the tangent ratio
-
Recognize and apply the side ratios in 30-60-90 and 45-45-90 triangles
-
Recognize the smallest Pythagorean Triples and use them as shortcuts to find missing sides in other triangles
-
Understand that it is possible to find missing sides on non-right triangles
-
Find sample spaces and probabilities of the union, intersections, and complements of events, and use the Addition Rule
-
Calculate expected values
-
Multiply polynomials and solve quadratics (Checkpoint #5A)
-
Write equations from arithmetic and geometric sequences (Checkpoint #5B)
Congruent Triangles - January
-
Find missing angles in shapes and parallel line diagrams
-
Decide if pairs of triangles are similar or congruent
-
Use information given in a problem to choose an appropriate tool from the Triangle Toolkit to find a missing side or angle
-
Identify pairs of triangles as similar or congruent
-
Use flowcharts to organize arguments about triangle similarity and congruence and evaluate the logic of other arguments
-
Write the converse of a conditional statement
-
Use Law of Sines and Law of Cosines to find missing sides of non-right triangles
-
Solve proportional equations and similar figures (Checkpoint #6)
Proofs and Quadrilaterals - February
-
Construct a proof structured as a flowchart using given information, reasons for each step, and an organized progression of information
-
Work with a simple two-column proof
-
Identify different shapes based on a description in words, or by their central angle
-
Analyze a shape on a coordinate grid and use information about the length and slope of sides and measures of angles to name the shape and justify conclusions
-
Find the midpoint of a segment on a coordinate grid
-
Solve equations with trig ratios and Pythagorean Theorem (Checkpoint #7)
Polygons and Circles - March
-
Move flexibly around the Regular Polygon Angle Web to find interior angles, exterior angles, or the number of sides of the regular polygon, given any one of the other pieces of information
-
Find missing angles or solve for variables using the sum of interior or exterior angles of non-regular polygons
-
Find the area of a regular polygon given a side length or radius
-
Understand how the area and perimeter of similar figures are related and use those relationships to find areas of enlarged and reduced shapes
-
Find the area and circumference of circles
-
Use angle relationships in geometric figures (Checkpoint #8)
Solids and Constructions - April
-
Represent 3-D solids using a side view, a mat plan, and/or a net
-
Find the surface area and volume of 3-D shapes
-
Find density
-
Understand and apply the relationship between a linear scale factor and the ratio of areas or ratio of volumes of similar shapes
-
Find a linear scale factor given a ratio of areas or volumes
-
Use basic construction techniques to create shapes with specific relationships
-
Find the probability of unions, intersections, and complements (Checkpoint #9A)
-
Write exponential functions (Checkpoint #9B)
-
Find area as apart of a 3-D situation
Solids and Circles - May
-
Find the volume and surface area of a pyramid and cone
-
Find the total surface area of a pyramid
-
Find the volume and surface area of prisms and cylinders (Checkpoint#10)
-
Apply the r:r2:r3 ratios of similarity
|