Algebra Ch Graphing ax 2 + c. Mr. Deyo

Transcription

1 Algebra Ch Graphing ax 2 + c Mr. Deyo

2 Learning Target By the end of the period, students will graph quadratic equations in the form of ax 2 + c. They will demonstrate this by completing Four Square notes and by solving problems in a pair/group activity.

3 Home Work 1 2 3: 1) Class 4 Square Notes Put In Binder? 2) Section 10.1 Pg ) Section TxtBk. Problems# 3, 4, 5, 7, 11 Notes Copied on blank sheet 17, 19 of paper in Binder? Solved and Table of Contents Date Description Date Due

4 Storm Check (Think, Write, Discuss, Report) Questions on which to ponder and answer: 1. How are the two images similar? 2. How are they different? 3. How can these two images be related to math?

5 1) parabola Vocabulary 2) vertex 3) axis of symmetry 4) x intercept (root)

6 Sketch DAY 2 1. Review word Friendly Definition Physical Representation 2. Draw a sketch Wordwork DAY 3 and/or DAY 4 1. Review the word Friendly Definition Physical Representation 2. Show how the word works Synonyms/antonym Word Problems Related words/phrases Example/non-example Word List Friendly Definition DAY 1 1. Use Visuals 2. Introduce the word Friendly Definition Physical Representation 3. Use Cognates 4. Write friendly definition 5. Physical Representation DAY 5 1. Review the word Friendly definition Physical Representation Sentence 3. Write a sentence at least 2 rich words (1 action) correct spelling correct punctuation correct subject/predicate agreement clear and clean writing

7 Daily Warm-Up Exercises For For use use with with pages pages xxx xxx Graph y = 2x + 3.

8 Daily Warm-Up Exercises For For use use with with pages pages xxx xxx Graph y = 2x + 3.

9 Notes: Quadratic Equations (Parabolas) y = ax 2 + c axis of symmetry: x = 0 a is positive opens up y intercept: (0, c) Parent Function: y = x 2 a is negative opens down

10 Example 1 = > Graph y ax 2 where a 1 Problem A/B y = x 2 vertex: y = 3 x 2 vertex: axis of symmetry: axis of symmetry: Opens Up / Down? Opens Up / Down? Wider / Thinner?

11 Example 1 = > Graph y ax 2 where a 1 Problem A/B y = x 2 x y y = 3 x 2 x y

12 Example 1 y = x 2 x y = < Graph y ax 2 where a 1 Problem C/D y = -1 4 x2 x y

13 Example 1 y = x 2 vertex: = < Graph y ax 2 where a 1 Problem C/D y = -1 vertex: 4 x2 axis of symmetry: axis of symmetry: Opens Up / Down? Opens Up / Down? Wider / Thinner?

14 Storm Check (Think, Write, Discuss, Report)

15 Example 1 y = x 2 x y = Graph y ax 2 + c Problem A/B y = x x y

16 Example 1 y = x 2 vertex: = Graph y ax 2 + c Problem A/B y = x vertex: axis of symmetry: axis of symmetry: Opens Up / Down? Opens Up / Down? Wider / Thinner?

17 Notes:

18 Guided Practice for Examples 1, 2, and 3 Graph the function. Compare the graph with the graph of y = 4x 2 y = x 2. x y x y

19 Guided Practice for Examples 1, 2, and 3 Graph the function. Compare the graph with the graph of y = 4x 2 y = x 2. ANSWER The graph is a reflection in the x-axis of the graph of the graph of y = x 2. y = 4x 2 and is narrower.

20 Guided Practice for Examples 1, 2, and 3 Graph the function. Compare the graph with the graph of y 2 = 3 x y y = x 2. x y

21 Guided Practice for Examples 1, 2, and 3 Graph the function. Compare the graph with the graph of y = 3 ANSWER The graph is wider than the graph of y = x 2. y = x 2.

22 Guided Practice for Examples 1, 2, and 3 Graph the function. Compare the graph with the graph of y = x 2. y = x x y x y

23 Guided Practice for Examples 1, 2, and 3 Graph the function. Compare the graph with the graph of y = x 2. y = x ANSWER The graph is a vertical translation (of 2 units up) of the graph of y = x 2.

24 1) parabola Vocabulary 2) vertex 3) axis of symmetry 4) x intercept (root)

25 Home Work 1 2 3: 1) Class 4 Square Notes Put In Binder? 2) Section 10.1 Pg ) Section TxtBk. Problems# 3, 4, 5, 7, 11 Notes Copied on blank sheet 17, 19 of paper in Binder? Solved and Table of Contents Date Description Date Due

26 Learning Target By the end of the period, students will graph quadratic equations in the form of ax 2 + c. They will demonstrate this by completing Four Square notes and by solving problems in a pair/group activity.