Pretest Please complete the pretest for this standard

Slides:

Advertisements

Similar presentations

1.7 Midpoint and Distance in the Coordinate Plane 9/22/10

Advertisements

Apply the Distance & Midpoint formulas Find the distance and the midpoint Find the missing endpoint.

Midpoint and Distance Formulas

Distance Formula & Midpoint of a Segment

©thevisualclassroom.com (2,4) (12, 8) 2.7 Determining the Midpoint of a Line Segment (7,6) Find the midpoint between the points (2, 4) and (12, 8) 2 12.

Do Now: Pass out calculators. Complete EOC Review Week # 17. Have your homework out ready to check.

Vocabulary The distance between any two points (x 1, y 1 ) and (x 2, y 2 ) is Distance Formula 9.6Apply the Distance/Midpoint The midpoint of a line segment.

EXAMPLE 3 Use the Midpoint Formula

Midpoint Formula, & Distance Formula

Geometry: Distance/ Midpoints. Do Now: Check in Problem (do this by yourself and it will be taken and graded as a hw grade) Directions: Find the value.

In the skateboard design, VW bisects XY at point T, and XT = 39.9 cm. Find XY. Skateboard SOLUTION EXAMPLE 1 Find segment lengths Point T is the midpoint.

Distance and midpoint.

SOLUTION EXAMPLE 4 Standardized Test Practice Use the Distance Formula. You may find it helpful to draw a diagram.

1-3 The Distance and Midpoint Formulas

The Distance and Midpoint Formulas

Lesson opener 1. Name the plane 3 different ways. 2. Name line l differently. 3. Name 3 segments on line h. 4. Name a pair of opposite rays. 5. Name 3.

Warm Up Find the values of y by substituting x = 2, 3, 10 1.Y = 20x Y = 9(x+3)

Algebra Commandments Measurement. Solve real-world problems involving formulas for perimeter, area, distance, and rate Objective 4a – DoK 2.

Midpoint and Distance Formulas Goal 1 Find the Midpoint of a Segment Goal 2 Find the Distance Between Two Points on a Coordinate Plane 12.6.

Use Midpoint and Distance Formulas

The Distance and Midpoint Formulas

WARMUP Take a sheet of graph paper. Plot the following points and state the quadrant they are in (5, 2) (-4, 3) (-1, -4) (3, -5)

EXAMPLE 3 Use the Midpoint Formula a. FIND MIDPOINT The endpoints of RS are R(1,–3) and S(4, 2). Find the coordinates of the midpoint M.

1.3 Use midpoint and distance formulas You will find lengths of segments in the coordinate plane Essential question: How do you find the distance and the.

Topic 5-1 Midpoint and Distance in the Coordinate plan.

GEOMETRY HELP d = (–8) 2 Simplify. Find the distance between R(–2, –6) and S(6, –2) to the nearest tenth. Let (x 1, y 1 ) be the point R(–2, –6)

1.8 Midpoint & Distance Formula in the Coordinate Plane Objective: Develop and apply the formula for midpoint. Use the Distance Formula and the Pythagorean.

Sec. 1 – 8 The Coordinate Plane Objectives: 1) Find the distance between 2 points on the coordinate plane. 2) Find the coordinate of the midpoint of a.

Equation of Circle Midpoint and Endpoint Distance Slope

Pretest Please complete the pretest for this standard on your own. Try to remember all you can from our first discussion of this topic.

Pretest Please complete the pretest for this standard on your own. Try to remember all you can from our first discussion of this topic.

Warm Up Find the midpoints: 1.(7,1) and (17, 9) 2.(6, 5) and (6, 3) 3.(8, 24) and (15, 13)

David Vundi Mathematics Teacher Use Midpoint and Distance Formula GEOMETRY.

Pretest Please complete the pretest for this standard on your own. Try to remember all you can from our first discussion of this topic.

Pretest Please complete the pretest for this standard

8-1 Midpoint and Distance Formulas

Midpoint and Distance Formulas

Distance and Midpoint in the Coordinate Plane

Section 1.7 Midpoint and Distance in the Coordinate Plane

Midpoint and Distance Formulas

CIRCLES Topic 7.3.

Pretest Please complete the pretest for this standard

Algebra Commandments Measurement.

Pretest Please complete the pretest for this standard

Bellwork: Find the length of the segments

Do now Write your comparison on the Do Now Sheet..

Midpoint and Distance Formulas

Apply the Distance & Midpoint formulas

Distance and Midpoint in the Coordinate Plane

Distance and Midpoint Formulas

COORDINATE PLANE.

1-7: Midpoint and Distance in the Coordinate Plane

How to Find a Midpoint of two points on a Number Line - take the average of the coordinates , where M is the coordinate of the midpoint, and x1 and.

1. Find a point between A(–3, 5) and B(7, 5).

Midpoint and Distance in the Coordinate Plane

The Distance and Midpoint Formulas

CIRCLES Topic 10.2.

Apply the Distance/Midpoint

Point T is the midpoint of XY . So, XT = TY = 39.9 cm.

Lesson 1-2: Segments and Rays

The Distance and Midpoint Formulas

Apply the distance and midpoint formula in 3D

Distance and Midpoint Formulas

1.3 Notes: Distance and Midpoints

Distance Formula Essential Question: How do we find the distance between two coordinate points? Demonstrated by using the distance formula in the notes.

CIRCLES Topic 7.3.

CIRCLES Topic 7.3.

CIRCLES Topic 7.3.

Presentation transcript:

Pretest Please complete the pretest for this standard on your own. Try to remember all you can from our first discussion of this topic. Day 1 The pretest can be found online at http://focus.florida-achieves.com/(S(azfhvo45ru3xa445djx2te2n))/login.aspx. The teacher and student logins are the same as FCAT Explorer. If you have access to computers, you may wish to have your students complete this assessment online. Using the paper/pencil copy and a bubble answer sheet from Performance Matters will give you automatically graded assessment and valuable data for immediate use.

Find the lengths and midpoints of line segments in two-dimensional coordinate systems. MA.912.G.1.1

LEQ: How do I use the distance and midpoint formulas? Vocabulary: Draw a picture and list the formula for each term. Term Picture Formula Midpoint Given where A (x1 , y1) and B (x2 , y2) the coordinates of the midpoint of are M Distance The distance between two points A (x1 , y1) and B (x2 , y2) is Vocab should be interactive when possible.

I do… Find the midpoint of the segment . Step 1: List the coordinates of the endpoints. P (-4, 6) Q (8, -6) Step 2: Re-write the formula M Step 3: Substitute the values of P and Q into the midpoint formula. M Day 2 Step 4: Simplify M

The coordinates of R is (4, 4) I do… Given the midpoint of the segment and an endpoint, find the other endpoint. The midpoint of RS is M (6, 3) and the coordinates of the endpoint S is (8, 2) What are the coordinates of R? Step 1: To find the x coordinate re-write that part of the formula and solve for x1. Step 2: To find the y coordinate re-write that part of the formula and solve for y1. Day 2 The coordinates of R is (4, 4)

I do… Finding the distance between two points. Find the distance between the two points to the nearest tenth. P(8, 2) and Q(3, 8) Step 1: Write the distance formula. Step 2: Substitute the correct values. X1 = 8, y1 = 2, X2 = 3, y2 = 8, Step 3: Simplify.

We do Sage and Scribe Day 3 and 4 Low to Moderate DOK Sage and Scribe

We do… Shoulder Partner 1. List the coordinates of two points. Have your partner find the midpoint and distance of the two coordinates. Pass back the paper to its owner and coach or praise your partner’s work. 2. List a midpoint and an endpoint of a line segment. Have your partner find the other endpoint and the distance of the segment. Day 3 and 4 Moderate/High DOK

You Do 1. 2. Find the distance between the two points to the nearest tenth. C (3, 2) and D (5, 8) 3. M is the midpoint of AB . The coordinates of endpoint B are given. What are the coordinates of A? M: (4, 5); B: (5, 9); S: ? All three questions.

You Do 1. All three questions. Answer: (1,3)

You Do 2. Find the distance between the two points to the nearest tenth. C (3, 2) and D (5, 8) All three questions. Answer: 6.3

You Do 3. M is the midpoint of AB . The coordinates of endpoint B are given. What are the coordinates of R? M: (4, 5); B: (5, 9); A: ? All three questions. Answer: A (3,1)

Post Test Please complete the post test for this standard on your own. Do the best you can, hopefully you will show improvement over your pretest score. Day 6 The post test can be found online at http://focus.florida-achieves.com/(S(azfhvo45ru3xa445djx2te2n))/login.aspx. The teacher and student logins are the same as FCAT Explorer. If you have access to computers, you may wish to have your students complete this assessment online. Using the paper/pencil copy and a bubble answer sheet from Performance Matters will give you automatically graded assessment and valuable data for immediate use.