- Kevin Liddiard
- 2017-2018 School Year
- 10th Grade
Building on previous work with linear, quadratic and exponential functions, students will extend their study to include polynomial, rational and radical functions. Students will work with expressions and equations and improve their ability to model situations using all of these functions.
Ch 9 Mid-chapter Quiz
Take quiz on sections 9-1 to 9-4 with notebook!
Entry: Get chromebooks- watch tutorials on conic sections and hyperbolas.
Eval: Return midchapter tests
TASK: Graph hyperbolic equations and make equations from hyperbolic graphs.NOTES from page 624
G.P. 9-5 #2,4,6
I.P. 9-5 #1,3,5
Hyperbolas: Day 2
Entry: Graph and give coordinates of vertex and focus and co-vertex: x2/9-y2/16 = 1
Eval: HW check on desk 9-5 #1,3,5
TASK: Write the equations or graph hyperbolas of non (0,0) centers.
G.P: 9-5 #8,18,22,26,28
I.P. 9-5 #11,15,17,19- Bonus #7
Finish next class period.
ID Conic Sections
Eval: HW from section 9-5
TASK: Rewrite equations in standard form, determine the type of conic section, and graph them.
G.P. 9-6 # 2,4,6,18
i.p 9-6 #1,3,5,7
The Discriminant for Conics
Entry: A student notices that an equation has both x2 and y2 terms. Explain how to find if the equation graphs a circle, ellipse or hyperbola.
Eval: 9-6 problems
TASK: Use the conic Discriminant to determine the type of conic graph a particular equation has. NOTES p 633
G.P 9-6 #24-28 even
I.P. 9-6 #25-31 odd
Linear- NonLinear Systems
Entry: How many point of intersection could a line and a conic have? How many points could a conic and another conic have?
Eval: Conic discriminant problems
TASK: Solve linear-conic and conic-conic systems
G.P. 9-7 #2,6,24
I.P. 9-7 #1,5,7,19,25
Finish next period
Review ch 9
pages 647-650 #11,15,20,25,30,33,37,41,47,48,53,56-58,61,65,73
Take test on chapter 9 using composition notebook.
Entry: How is an ellipse different from a circle?
TASK: Define the equations for an ellipse and graph them using table from page 615.
G.P. 9.4 #2,4,8,10
I.P. 9.4 #1,3,7,14,33,35
We will finish on next period and then Review 9-1 to 9-4 for quiz
Entry: Get chromebooks, watch tutorials.
Eval: Parabolas from 9.2
TASK: Convert between graphs and equations of circles, including the use of story problems.
Read section 9.3 pages 607 to 609.
I.P. 9.3 #3-9 odd, 17,62
We will finish this next period.
Entry: Write the vertex form of a parabola.
Eval: Midpoint and distance formulas
TASK: Using Equations of Parabolas (p 599) sketch those features.
G.P. 9.2 #2,4,10,12
I.P. 9.2 # 1-11 ODD
We will finish this next period.
Distance and Midpoint Formula
TASK: Use formulas to find the midpoint and distance between two points.
G.P. 9.1 #2-8 even. 24
I.P. 9.1 # 11-21 ODD, 37,39
Ch 8 test
Take ch 8 test.
Review ch 8 for test, take Midchapter retake if needed.
work pages 582-584 #11-14,17-20,25,27,39-42,45,46
We will finish this next period
Rational Equations- Again
Eval: 8.6 #1-7 odd with partner.
TASK: Solve rational equations and INequalities
G.P. 8.6 #12.14,16
I.P. 8.6 #13,15,17
Entry: Solve x/2 +3/2 = 5/2, x/3 - 1/6 = 1/6
Eval: Variation problems from last night.
TASK: Solve Rational Equations using common denominators, checking for extraneous solutions.
G.P. 8-6 #2-10 even
I.P. 8-6 #1-11 odd
Eval: Quiz from 8-1 to 8-3
TASK: Define direct joint, inverse and combined variation, and solve problems of this type.
G.P. 8-5 #8,12,18,30
I.P. 8-5 # 7,13,19,31
Rational Function Quiz
Quiz on 8-1 to 8-3.
Finish section 8-4 if needed!
Graphs of Rational Functions: Day 2
Eval: Work #9 check with neighbor.
TASK: Graph more rational functions.
G.P. 8.4 #16,18,38
I.P. 8.4 # 13,21,23,37
Study 8-1 to 8-3 for quiz!
Graphs of Rational Functions
Entry: What number(s) cannot be in the DOMAIN of 1/(x2-4) ?
Eval 8.2 work
TASK: Graph rational equations with asymptotes.
G.P. 8.3 #2,4, entry,14
I.P. 8.3 #1,3,5,7,15
Add & Subtract Rational Expressions: DAY 2
Eval: 8.2 Work
TASK: Add and subtract rational expressions of binomial and trinomial form
G.P. 8.2 #10,12,30,32
I.P WS 8.2 then section 8.2 #9,11,29-33 odd, 49. if done
Add & Subtract Rational Expressions
Entry: Combine 2/3 +5/6 1/3 + 3/4
Eval 8-1 work
TASK: Combine rational expressions with a common denominator
G.P. 8.2 #6,8,24
I.P 8.2 #5,7, 23-27 odd, 45, finish next period
Rational Expressions: Day 2
Entry: Factor x2 +3x -40 and 25-x2.
Eval: HW from 8.1
Task: Factor polynomials to simplify rational expressions
G.P. 8.1 #4,8,16,32,38,42
I.P.: 8.1 #9,11,17,31,35,43,60
Entry: Simplify 22/24, 2/3 ÷ 8/9, 5/12 • 3/10.
Eval: Ch 7 Test
TASK: Define rational expressions, use FACTORING to simplify them. NOTES!
G.P.: 8.1 #3,6,10,26,28
I.P. 8.1 #7,19,25-29,59
Angles and Angle Measures
Entry: Write down as many units to measure length as you can.
Eval: 12-1 problems
TASK: Define standard position, coterminal angles, radians, central angle and arc length.
I.P. WS 12-2
Take Home quiz due on Monday April 9.
Inverse Trig Functions.
Entry: What is an inverse function? How is it related to a function?
Eval: 12.1 problems.
TASK: Introduce inverse trig functions, finding angles from sides.
G.P. 12.1 #8,10,30
I.P. 12.1 #9,29,31,33,41.
Trig Functions in Right Triangles
Entry: What does SOH CAH TOA mean?
TASK: Define six trigonometric functions in a right triangle, define reciprocal functions.
G.P. 12.1 #2,4,6,12
I.P. 12.1 #1-7 odd, 11,27
Exponential Log Test
Take test on Chapter 7
Log and Exponent Review
Ch 7 review #11,18,19,23,25-28,31-35,42-45,52,53,58,59,63 on page 518
Test on Tuesday
Modeling with Logs and Exponents
Eval: 7-7 problems
TASK: Model growth and decay with exponentials- solve with logarithms.
G.P. 7.8 #2,4
I.P. 7.8 #1,5,7
Entry: What do you recall about Euler's Number, e?
TASK: Define the natural log with base e, and solve exponential equations.
G.P. 7.7 #2-16 even
I.P. 7.7 #21-39 odd, 40 and 41
Finish on Friday.
Quiz on Logs
Finish HW from 7-6
TASK: Define the common or base ten log. Define change of base formula. Solve exponential problems using Logs.
G.P. 7.6 #2,4,6,8,10,34,70
I.P. 7.6 #17,21-33 odd,59,68,71
Eval: 7-4 HW
TASK: Apply properties of logs to solve logarithmic problems NOTES!
G.P. 7-5 #2,4,8,24,26
I.P. 7-5 #1-25 odd, Prepare for quiz on Sections 7-1 to 7-4 Wednesday
Log equations and INequalities
Entry: Get Chromebooks. Solve the following: log 36 x = 3/2 log 16 x = 5/2
TASK: Watch the tutorial videos assigned. Solve log equations with exponential form.
G.P. 7.4 #2-16 even
I.P. 7.4 # 1-17 odd, finish next period
Entry: 7.2 #25,27
Can you solve for x or at least estimate its value? 2x =8 5x = 1/25 3x = 10.
Eval: HW check on Exponential INequalities
TASK: Define the logarithm, convert between exponential and logarithmic form, graph the log- NOTES!
G.P.: 7.3 # 2,4,6,8,9
I.P.: 7.3 #1,3,5,7,13-37 odd, 38,40.
Finish next period.
Solving Exponential Equations
Entry: Solve 2x = 16, 3x+1 = 9.
Eval: Problems from 7.1
TASK: Solve exponential equations by making like bases. Compound Interest Formula- NOTES!
G.P. 7.2 #2,4,6,16,30
I.P. 7.2 # 1,3,11,19,21,31
Entry: Would you dogsit for a week at $5 a day or $0.50 for day one with your pay doubling each day? Explain.
Eval: CH 6 quiz
TASK: Graph exponential growth and decay. Notes on Transforms.
G.P.: 7-1 #2,4,14,26
I.P. 7-1 #1,3,13,27,29
We will take the 10th and 11th grade SBAC over four days: March 5-8
12th grade students will be in the library.
QUIZ on Trig Functions.