Name:__________ warm-up 1-1

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Presentation transcript:

Name:__________ warm-up 1-1 What is the value of x2 + 3yz if x = 3, y = 6, and z = 4? Solve 2(x – 7) = 5x + 4. Which is a solution of 3x + 4y = 14? A. (–3, 4) B. (–2, 5) C. (1, 3) D. (2, 3) Factor 9x2 – 25y2.

Graph y = 3x + 2 Which of the following equations is a quadratic equation? A. 4x = 2 B. 5x + 2y = 13 C. 6x2 – 3x = 16 D. 5x3 – x2 + 2 = 0

Details of the Day Activities: EQ:● Why do you need to know, understand, and speak in geometric terms to function in everyday life? ● Why is it important to prove your position in an argument (mathematically or in general)? ● What is the significance of proper notation in the study of geometry? ● Why do we measure? How does what we measure influence how we measure? ● How are constructions different from sketches and drawings? I will be able to… Identify and model points, lines, and planes Identify intersecting lines and planes. Activities: Warm-up Review homework Notes: Points, Lines and Planes Class work/ HW Vocabulary: . point line plane collinear coplanar Intersection Undefined term definition defined term space

1-1 Points, Lines and Planes

A Quick Review What is the value of x2 + 3yz if x = 3, y = 6, and z = 4? Solve 2(x – 7) = 5x + 4. Which is a solution of 3x + 4y = 14? A. (–3, 4) B. (–2, 5) C. (1, 3) D. (2, 3) Factor 9x2 – 25y2.

A Quick Review Graph y = 3x + 2 Which of the following equations is a quadratic equation? A. 4x = 2 B. 5x + 2y = 13 C. 6x2 – 3x = 16 D. 5x3 – x2 + 2 = 0

Notes and examples

Notes and examples Use the figure to name a line containing point K. Use the figure to name a plane containing point L. You can also use the letters of any three noncollinear points to name the plane. There are 15 different three-letter names for this plane.

Notes and examples Use the figure to name a line containing the point X. Use the figure to name a plane containing point Z.

Notes and examples Name the geometric shape modeled by a 10  12 patio. Name the geometric shape modeled by a button on a table. Name the geometric shape modeled by a colored dot on a map used to mark the location of a city Name the geometric shape modeled by the ceiling of your classroom.

Notes and examples STEPS: Draw a surface to represent plane R and label it. Draw a line anywhere on the plane Draw dots on the line for point A and B. Label the points. Label the intersection point of the two lines as P.

Notes and examples

Notes and examples Tell why you placed the point where you did. Were there other choices? Explain.

Notes and examples A. B. C. D. Choose the best diagram for the given relationship. Plane D contains line a, line m, and line t, with all three lines intersecting at point Z. Also, point F is on plane D and is not collinear with any of the three given lines A. B. C. D.

Notes and examples

Notes and examples How many planes appear in this figure? Are points A, B, C, and D coplanar? Explain. Name three points that are collinear.

Notes and examples How many planes appear in this figure? Name three points that are collinear. Are points X, O, and R coplanar?

Notes and examples

Notes and examples

Notes and examples