DIAGNOSTIC ERROR ANALYSIS MEASUREMENT & GEOMETRY.

Slides:

Advertisements

Similar presentations

Working with Shapes in Two Dimensions

Advertisements

Basic Math Area Formulas

(7.7) Geometry and spatial reasoning The student uses coordinate geometry to describe location on a plane. The student is expected to: (B) graph reflections.

Introduction What does it mean to be opposite? What does it mean to be consecutive? Think about a rectangular room. If you put your back against one corner.

Introduction It is not uncommon for people to think of geometric figures, such as triangles and quadrilaterals, to be separate from algebra; however, we.

Introduction Geometry includes many definitions and statements. Once a statement has been shown to be true, it is called a theorem. Theorems, like definitions,

Congruence and Similarity

Test Taking Strategies circle important terms underline any numbers Mark the Text double-underline the question Cross out wrong answers Use LOGIC Plug.

Using the Pythagorean Theorem

By: Suhas Navada and Antony Jacob

Polygons, Circles, and Solids

FOR: MRS. GOODHUE’S CLASS BY: MRS. CAMUTO STUDY GUIDE FOR AREA, PERIMETER, VOLUME AND SURFACE AREA.

Copyright © Cengage Learning. All rights reserved. 1.8 Coordinate Geometry.

Digital “ABC” Book By: Scott Bowers.

Sasha Tryanichev. “The amount of space on a 2 dimensional object.” There is a specific formula that you must follow to find the area of each shape. Triangle:

Quiz-Warm Up! Remember 5 minutes only!

Surface Area of 12-3 Pyramids and Cones Warm Up Lesson Presentation

MCHS ACT Review Plane Geometry. Created by Pam Callahan Spring 2013 Edition.

TMAT 103 Chapter 2 Review of Geometry. TMAT 103 §2.1 Angles and Lines.

TAKS Mathematics Review.

Area (geometry) the amount of space within a closed shape; the number of square units needed to cover a figure.

GEOMETRY SOL IDEAS. Complementary angles have the sum of 90. Angles that form a LINEar pair are supplementary (180). Vertical angles are opposite each.

The area of a rectangle equals its length times the width (base times the height). A = length x width = lw or A = base x height = bh Area of a Rectangle.

GEOMETRY PRETEST REVIEW Reviewing skills needed to succeed in Geometry. Day 1.

Math TAKS Review Formula Charts Graphing Quadrants III III IV The Quadrants on a Graph go Counter- Clockwise.

Midpoint and Distance in the Coordinate Plane.   Students will be able to…  Develop and apply the formula for midpoint.  Use the distance formula.

Warm Up Find the missing side length of each right triangle with legs a and b and hypotenuse c. 1. a = 7, b = c = 15, a = 9 3. b = 40, c = 41 4.

Section 11.6 Pythagorean Theorem. Pythagorean Theorem: In any right triangle, the square of the length of the hypotenuse equals the sum of the squares.

Section 16.1 Pythagorean Theorem a=11.6. x=3.86 y=4.60 x=

Math Terms. Digit A number Compare To see how things are alike or different -

Transformation a change of position, shape or size of a figure Three types of transformation A slide called a translation A flip, called a reflection The.

Introduction to Perimeter, Circumference and Area

Precalculus Fifth Edition Mathematics for Calculus James Stewart Lothar Redlin Saleem Watson.

A to Z Math Project BY: AUSTIN WAHL. A is for Algebra Tiles  Algebra Tiles are used to represent variables and constants. Also The tiles help you visualize.

Geometry 9-5 Changing Dimensions (Proportionally) If you change each dimension of a figure, the figure will be similar only larger or smaller. Double each.

Definition: Rectangle A rectangle is a quadrilateral with four right angles.

DEFINING SIMILARITY ~ADAPTED FROM WALCH EDUCATION.

Sullivan Algebra and Trigonometry: Section R.3 Geometry Review Objectives of this Section Use the Pythagorean Theorem and Its Converse Know Geometry Formulas.

College Algebra Section R.3 Geometry Review Objectives of this Section Use the Pythagorean Theorem and Its Converse Know Geometry Formulas.

Triangles & Congruency

GEOMETRY AND MEASUREMENT

Warm Up Find the missing side length of each right triangle with legs a and b and hypotenuse c. 1. a = 7, b = c = 15, a = 9 3. b = 40, c = 41 4.

Math or Science? Math 102 Science 101 Math Formulas Math 101 Science Formulas Team One Team Two Team.

THE PYTHAGOREAN THEOREM AND AREA OF A TRIANGLE. Warm – Up!! Good Morning! As you walk in, get your calculator and pick up your guided notes from the podium.

Geometry 1.6 Perimeter and Area. Perimeter Is the distance around a figure It is the sum of the lengths of the sides of the figure =side 1 +side 2 +side.

2nd 9 weeks Review.

1 The Coordinate Plane Just as points on a line can be identified with real numbers to form the coordinate line, points in a plane can be identified with.

Perimeter & Surface Area Today’s lesson will cover…  finding perimeter and surface area of polygons  using formulas to solve problems involving surface.

Strategies for Success GOOD LUCK!! Strategy 1 Can I plug it in? Can I plug it in?

2D Computer Project By: Alexander and Alby. obtuse angle right angle 3 types of angles an angle that measure exactly 90 degrees. an angle that measure.

GEOMETRY!!!. Points  A point is an end of a line segment.  It is an exact location in space.   It is represented by a small dot. Point A A.

Unit 2 Review! Objective: to review the concept of congruence Common Core State Standards: 8.G.1; 8.G.2; 8.G.5; 8.G.6; 8.G.7.

Unit 2 Review! Objective: to review the concept of congruence Common Core State Standards: 8.G.1; 8.G.2; 8.G.5; 8.G.6; 8.G.7.

8 th grade Vocabulary Word, Definition, model Unit 2.

TRANSFORMATIONS. DEFINITION  A TRANSFORMATION is a change in a figure’s position or size.  An Image is the resulting figure of a translation, rotation,

Holt Geometry 11.4 Surface Area of Pyramids & Cones Learn and apply the formula for the surface area of a pyramid. Learn and apply the formula for the.

SOLVING ALGEBRAIC EXPRESSIONS

Midpoint and Distance in the Coordinate Plane

18.01 Area & Perimeter of Rectangles

GEOMETRY REVIEW.

Properties of Geometric Shapes

Introduction to Perimeter, Circumference and Area

8th Grade CRCT 2013 Level 1 Concepts.

Introduction It is not uncommon for people to think of geometric figures, such as triangles and quadrilaterals, to be separate from algebra; however, we.

GEOMETRY and MEASUREMENT

Parallel and Perpendicular Lines/Triangles and Transformations

Transformations Similarity and Congruence

Using Coordinates to Prove Geometric Theorems with Slope and Distance

UNIT SELF-TEST QUESTIONS

Presentation transcript:

DIAGNOSTIC ERROR ANALYSIS MEASUREMENT & GEOMETRY

44. CONGRUENCY Congruency Two figures or objects are ___________ if they have the ______ shape size, or if one is the mirror image of the other. If you place both images on top of one another, GH and BC line up. congruent same

45. SURFACE AREA How many sides of a cube are exposed as the surface area? 26 (This includes the bottom of model). What is the surface area of ONE side? 3x3=9 sq. in. 9x26=234 sq. in. 3 3

46. PYTHAGOREAN THEOREM What clues in the picture inform me that I must use the Pythagorean theorem? a 2 +b 2 =c b 2 = b 2 =400 Solve for b. a= c= b=?

47. CONVERSIONS Notice the initial units of measurements. Notice the conversions offered in the choices. You’ll have to convert the units into seconds or minutes. Divide the hour (60 minutes) into 6 kilometers. 60/6 = 10 minutes 1 kilometer in 10 minutes.

48. SCALE MODELS AND PROPORTIONS Create the following proportion: Solve for x.

49. AREA OF TRIANGLE What is the formula for the area of a triangle? Correctly identify the base and height. Apply the formula. base height This is NOT the height.

50. REFLECTION mirror x y

REFLECTION VS. TRANSLATION REFLECTION A figure can be reflected across the y-axis or across the x-axis. A problem will always direct you to “reflect across the ____ or ____ axis.” TRANSLATION A figure can be translated up, down, left or right according to specific instructions. A problem will always direct you to translate with specific directions like the following: “ 2 units up” “1 unit down and 3 units to the right” “1 unit down and 5 units to the left” xy

51. SCALE AND PROPORTION What is a key word in this problem? Volume is the key word. How do you get the volume of a cube? Multiply the following:(length)(width)(hei ght) We can give variables to the cubes. Small cube: (x)(x)(x)= x 3 Large cube:(4x)(4x)(4x)=64x 3 Clearly, the larger cube is 64 times greater. x x x 4x

52. PERIMETER You must know how to calculate the perimeter. The perimeter is the distance ___________ a figure. What are the measurements of all four sides? Question: Why do two sides measure 12.5? Solve the problem. around

53. PROPORTION Notice the time measurements. Create a proportion. Solve for x. Is there another way you can solve this problem?

54. CONVERSION WITH FORMULA Is this too easy? To convert from Celsius to Fahrenheit, plug in the known variable and solve for the unknown. Solve for F.

55. AREA OF CIRCLE How do we know that this question is asking for the area? Area is always measured in ___________ units. Question: How do I find the radius if they only give me the diameter? Label the parts of a circle. Solve for the area of one glass top. square

56. PLOTTING FIGURES ON GRAPH It’s easy to plot the points. Now, you must know the definition of all four shapes. : two bases, usually two parallel sides and two legs not parallel :same opposite side, diagonals intersect. :all four sides equal in length :each opposite pair is parallel and the same length.