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NAME DATE The Unit Organizer BIGGER PICTURE LAST UNIT/Experience CURRENT UNIT NEXT UNIT/Experience UNIT SELF-TEST QUESTIONS is about... UNIT RELATIONSHIPS UNIT SCHEDULEUNIT MAP CURRENT UNIT 1 32 4 5 6 7 8 Ratios & Proportional Relationships/ Expressions & Equations Ratios & Proportional Relationships/Geometry Statistics and Probability drawing, constructing and describing geometrical figures and their relationships 1)How can you use a proportional relationship to solve multistep ratio problems? Percent problems? 2)How can you determine the scale factor when given two figures? What impact does the scale have on the length and area of a figure? 3)When you cut a 3-D figure parallel to the base and perpendicular to the base, what are the face shapes that are made? Explain. 4)How does changing the radius of a circle effect its diameter? 5)How does knowing angle relationships help you solve equations for an unknown angle measure? 6)How can you determine the dimensions of a figure when given an area or volume? 7)What is the relationship between the area of the base of a prism and its volume? by solving multistep ratio and percent problems formulas for area and volume in real- world problems by applying simple equations for an unknown angle By writing and solving by using scales and scale drawings to reproduce figures given conditions with a focus on triangles by considering by slicing three-dimensional figures Cause and Effect Steps Identify Analyze Patterns can be used to identify cause and effect relationships.
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NAME DATE The Unit Organizer NEW UNIT SELF-TEST QUESTIONS Expanded Unit Map is about... 9 10 Ratios & Proportional Relationships/Geometry by using by solvingby writing and solving by considering by applying by slicing Use proportions to solve for simple interest, tax, markups, markdowns, gratuities, commission, fees, percent increase, percent decrease, and percent error. Find projected costs using proportions Find the cost of an item before and after tax Determine a figures dimensions when given a scale Identify the scale factor between two figures Understand what happens to the lengths and areas of figures as the scale changes Reproduce a drawing when given a scale Construct triangles from three measures of angles or sides – notice conditions that will form unique triangles or no triangle at all Understand characteristics of angles and side lengths of triangles and other geometric shapes Describe face shapes from cuts made parallel and perpendicular to the bases of rectangular prisms and pyramids Cuts made parallel will take the shape of the base Cuts made perpendicular will take the shape of the lateral face Understand why the formula works and how the formula relates to the measure (area and volume) and the figure Volume of a figure is the area of the base times the height of the figure Solve for missing dimensions, given the area or volume Use understanding of angles and deductive reasoning to write and solve equations. Know what angle relationships are formed by: -Supplementary angles -Complementary angles -Vertical angles -Adjacent angles multistep ratio and percent problems scales and scale drawings to reproduce figures given conditions with a focus on triangles drawing, constructing and describing geometrical figures and their relationships three-dimensional figures formulas for area and volume in real- world problems simple equations for an unknown angle
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