Rutherford County Schools – Individual Learning Modules

Grade Course 9th Integrated Math I

Unit Focus

This week, our focus will be on Essential Skills for Int Math I. In addition, we will introduce statistics by comparing measures of central tendency and standard deviation, determine correlation coefficients, linear regression, box-and-whiskers, etc.

Week of 5/4 – 5/8

Standard(s)

M1.A.SSE.A.1, M1.F.IF.A.2, M1.F.LE.A.2, M1.A.REI.A.1, M1.A.REI.B.2, M1.G.CO.B.8, M1.S.ID.A.1, M1.S.ID.A.2 Guarantee:

• I can review and understand the Essential Skills

• I can summarize, represent, and interpret data on a single count or measurement variable.

Day 1

Part I: Explore this awesome Desmos Activity on Essential Skills – student.desmos.com

CODE MNP794 Complete slides 4 - 30

PART II: ACT PRACTICE 1. The regular price for a certain suit is $250. If a sale reduces the price by 25%, what is the sale price of the suit?

2. If 𝑎 = −3 and 𝑏 = −2𝑎, what is the value of the expression 𝑎𝑏 − 3𝑎?

3. If 𝑛 = 5, then 3𝑛2− 2𝑛 + 7 = ?

4. If (𝑥 + 2) (𝑥 − 5) = 8, then which of the following must be true?

5. A copy shop offers copies on 5 colors of paper, each of which comes in 4 finishes. If a company gets 2 newsletters copied on different paper, there are how many distinct possible combinations of newsletter, color, and finish?

6. How many inches long is the radius of a circle whose area is 24𝜋 square inches?

Day 2

Part I: Continue with Desmos Activity on Essential Skills – student.desmos.com

CODE MNP794 Complete slides 34 - 54 PART II: ACT PRACTICE 7. For all real numbers 𝑚 and 𝑛, 3(𝑚 + 𝑛) −2(𝑚 − 3𝑛) = ?

8. In the (𝑥,𝑦) coordinate plane, at which 𝑦-value does the line 𝑥 + 3𝑦 = 6 intersect the 𝑦-axis?

9. 𝑠 = (2)(4)(6)(9)𝑡 If 𝑡 is a positive integer, then 𝑠 must be divisible, with no remainder, by all of the following EXCEPT

10. The equation 4𝑥2 = 6𝑥 + 4 is equivalent to which of the following equations?

11. If 𝑥

10 − 4.2 = .2𝑥 + 3.3, then 𝑥 = ?

12. If (𝑥−𝑎) (𝑥+𝑏) = 𝑥2 + 2𝑥 − 4𝑏, then 𝑏 = ?

13. If 12𝑥2− 𝑎𝑥 − 𝑎 = (3𝑥+1)(4𝑥−2), what is the value of 𝑎?

14. If 𝐴𝐵𝐶𝐷, not shown, is a rectangle, then which of the following must be true? I. 𝐴𝐵𝐶𝐷 is a quadrilateral. II. 𝐴𝐵𝐶𝐷 is a rhombus. III. 𝐴𝐵𝐶𝐷 is a parallelogram.

Day 3

Part I: Continue with Desmos Activity on Essential Skills – student.desmos.com

CODE MNP794 Complete slides 58 – 92 Mid-Week Quiz! Complete Online Quizizz reviewing Desmos slides 1 - 92

www.Quizizz.com Code#1 498218 / Code#2 756238 / Code#3 562748 Quizizz assignments are OPTIONAL EXTRA CREDIT. If you chose to complete them, you will have the

opportunity to increase your 4th quarter (Q4) average. DUE Sunday, May 10th @11:55pm Part II: ACT PRACTICE 15. In the right triangle 𝐴𝐵𝐶, illustrated below, the

sine of ∠𝐵 is 4

9 . What is the sine of ∠𝐴?

16. What is the slope of a line that is parallel to the line with the equation 2𝑥 + 7𝑦 = 5?

17. If 𝑥 + 10 = 𝑦𝑧 + 5, where 𝑥𝑦𝑧 ≠ 0, which of the following expressions solves for 𝑦 in terms of 𝑥 and 𝑧?

18. If, in the diagram below, 𝐴𝐵 ̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅ is 20 centimeters long, how many centimeters long is 𝐵𝐶̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅ ?

19. The line 𝑦 = 5

2𝑥 + 1 passes through all of the

following points in the standard (𝑥,𝑦) plane EXCEPT

20. The lengths of the sides in the right triangle below are 10 inches, 24 inches, and 26 inches. What is the sine of ∠𝐵 ?

Day 4

YOU NEED A TI-84 CALCULATOR (LINKS TO ONLINE CALCULATORS ARE ON THE CLASS WEBSTE) Part I: Continue with Desmos Activity on STATS – student.desmos.com

CODE MNP794 Complete slides 98 – 109 Part II: ACT PRACTICE 21. Polynomial 𝑃(𝑥) is a third-degree polynomial with 3 distinct real roots. Polynomial 𝑄(𝑥) is a fourth-degree polynomial with 2 distinct real roots. If 𝑦 = 𝑃(𝑥) × 𝑄(𝑥) is graphed on the standard (𝑥, 𝑦) coordinate plan, what is the maximum number of times the graph can intersect (touch or cross) the 𝑥-axis?

22. What is the height of the equilateral triangle below?

24. If 𝐴𝐵𝐶𝐸 is a square with sides 6 inches long, then what is the area, in square inches, of triangle 𝐶𝐷𝐸 ?

25. If the perimeter of an isosceles right triangle is 16 + 16√2 inches long, how long is one of the perpendicular sides?

23. Six students in a history class of 𝑥 students received A’s on their term papers. If the professor never gives A’s to fewer than 20% of the class nor never more than 40%, how many different values of 𝑥 are possible?

Day 5

YOU NEED A TI-84 CALCULATOR (LINKS TO ONLINE CALCULATORS ARE ON THE CLASS WEBSTE) Part I: Finish Desmos Activity on STATS – student.desmos.com

CODE MNP794 Complete slides 113 – 126

Weekly Quiz! Complete Online Quizizz reviewing Desmos slides 93 – 126

www.Quizizz.com Code#1 228090 Quizizz assignments are OPTIONAL EXTRA CREDIT. If you chose to complete them, you will have the

opportunity to increase your 4th quarter (Q4) average. DUE Sunday, May 10th @11:55pm Part II: ACT PRACTICE 26. If there are no real numbers that satisfy the inequality 3𝑥 − 𝑘(𝑥 + 2) ≥ 10 − 3(1 + 𝑥), where 𝑘 is a constant, what is the value of 𝑘?

27. In the figure below, 𝐾 and 𝐽 lie on triangle 𝐴𝐵𝐶, 𝐽𝐾 ̅̅̅̅̅̅̅̅̅̅̅̅ is parallel to 𝐴𝐵̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅, and the lengths of the sides of quadrilateral 𝐴𝐵𝐾𝐽 are in inches as indicated. What is the perimeter of triangle 𝐴𝐵𝐶?

28. For all real numbers 𝑎 and 𝑏, which of the following must be true?

29. Compared to the graph of 𝑦 = cos 𝜃, the graph of 2𝑦 = cos 2𝜃 has (A) half the period and half the amplitude.

(B) half the period and twice the amplitude.

(C) twice the period and half the amplitude.

(D) twice the period and twice the amplitude.

(E) the same period and the same amplitude.

30. The volume of a sphere with a radius of 𝑥 inches is how many times the volume of a sphere

with a radius of 𝑥

2 inches?

(Note: The volume of a sphere is 4

3 𝜋𝑟3, where 𝑟 is

the radius.)

Resources

F.IF.A.1 and F.IF.A.2 Desmos Polygraph: Functions and Relations (F.IF.A.1) Desmos – Carnival Part 2 (F.IF.A.1, F.IF.B.3) Desmos – Discovering Domain and Range (F.IF.B.4) Desmos – Commuting Times (F.IF.A.1, S.ID.C.5) Desmos – Card Sort: Functions (F.IF.A.1) Domain and Range (F.IF.A.1) Smart Home Market Research (F.IF.A.2) Software Security Risks (Graph) (F.IF.A.2) A.SSE.A.1 Uber Fares (Is it linear?) (A.SSE.A.1) Your own Uber Fare (A.SSE.A.1) Desmos - Pool Border (A.SSE.A.1) Desmos – Two Truths and a Lie (A.SSE.A.1) Linear and Exponential Growth (A.SSE.A.1) F.LE.A.2 and F.LE.B.4 Corrals Task (A.SSE.A.1, A.CED.A.1, F.LE.A.2) List of Khan Academy Activities Desmos: Linear Functions (F.LE.A.2) Desmos: Arithmetic or Geometric Card Sort (F.LE.A.2) Desmos: Visual of Geometric Sequences (F.LE.A.2, F.LE.B.4)

A.REI.A.1 and A.REI.B.2 OpenMiddle: Solving Equations (A.REI.A.1) OpenMiddle: Creating Equations (A.CED.A.1, A.REI.A.1) Solutions to a System (A.CED.A.3, A.REI.A.1) Solving a system of equations (A.REI.B.2) Desmos: Solution to a System (A.REI.A.1) Desmos: Graphical Solutions (A.REI.A.1) Desmos - Polygraphs: Linear Systems (A.REI.A.1) Desmos – Polygraph: Systems of Inequalities (A.REI.A.1) Desmos: Systems in Mult Representations (A.REI.B.2) Desmos: Card Sort (A.REI.A.1) Desmos: Wafer and Crème (A.REI.B.2) S.ID.A.1, S.ID.A.2, and S.ID.A.3 (in place of G.CO.B8) Haircut Costs (S.ID.1, S.ID.2, S.ID.3) Speed Trap (S.ID.1, S.ID.2, S.ID.3) Understanding the Standard Deviation (S.ID.2) Measuring Variability in Data Sets (S.ID.2, S.ID.3) Identifying Outliers (S.IDA.3) Describing Data Sets with Outliers (S.ID.A.3) Creating a boxplot in Desmos (Youtube video) Creating dot plots and histograms in Desmos (Youtube) Desmos – Polygraph: Histogram (S.ID.A.1) Desmos – Box Plots (S.ID.A.1) Desmos – 2truths 1lie: Box Plots (S.ID.A.1) Desmos – What’s in a Name? (Dot plots) (S.ID.A.1) Desmos – Human Stopwatch (S.ID.A.3) Desmos – What’s My Number? (S.ID.A.2) Desmos – Strength in Numbers (S.ID.A.1, S.ID.A.2) Desmos – Central Tendency and Dispersion