Last Week of Algebra I

We are almost to summer! It has been a pleasure to work with all the students this year. This week the students started reviewing for their final exam. We will continue to review for the exam on Monday and Tuesday with the Final on Thursday. They should be working on their final review packet and reviewing their notes to study for the final. As this is their last weekend of the semester, please remind them that their test corrections and any late work is due on Tuesday, May 24th.


Wall Challenge Problem Answers:

Problem #29 – The Game of 24 (1, 1, 6, 9)

Problem #29 Solutions – 9(1+1)+6


Problem #30 – The Game of 24 (7, 14, 14, 18)

Problem #30 Solutions – (7+18)-(14/14)


Problem #31 – The Game of 24 (1, 4, 18, 24)

Problem #31 Solution – 4(24-18)*1; 24/4+(1*18)


Last week, the students learned how to multiply and divide all types of polynomials. This week, they will have two unusual days and then finishing up their polynomial unit. On Monday, they will be taking a readiness test for next year. Tuesday and Thursday, the students will be reviewing for unit test. Wednesday the students will be going on a field trip to the Science Museum. Friday, the students will be taking their unit test on polynomials. They will need to be able to simplify polynomials, add polynomials, subtract polynomials, multiply polynomials, and divide polynomials.


This week the students took their test on right triangles and radicals. Overall the students were very successful on this test. They received their test back on Thursday and have until next Monday (May 9th) to complete test corrections if they choose. I recommend that each student who earned lower than a C complete the test corrections. We then started our unit on polynomials. The students discussed how to add and subtract polynomials and multiply and divide when one of the polynomials is a monomial. Next week, the students are going to be taking their final Galileo benchmark test and continuing the polynomial unit. They will be discussing how to multiply and divide all polynomials, not just monomials.


Challenge Problem Answers:

HW #106 – #16) -19; #17) Start with 5, multiply by x, subtract 2, multiply by x, add 4, multiply by x, add 7, multiply by x, subtract 9

HW #107 – #18) 3y^2-9y-4; #19) p-9p-1; #20) –z^2-2z+4

HW #108 – #25) -125a^21; #26) [81b^8]/16


Wall Challenge Problem Answers:

No Wall Challenge Answers this week as we are keeping the three problems up for next week.

Right Triangles and Intro to Polynomials

This week the students finished up the unit on right triangles and radicals and started reviewing for their test on Monday, April 25. Please remind your student to study over this weekend and review the trigonometric and special right triangle ratios. Next week, we are going start our unit on polynomials. We will be discussing what makes an expression a polynomial and use the basic operations (addition, subtraction, multiplication, and division) with polynomials.


Challenge Problem Answers:

HW #102 – #10) x = 6.2


Wall Challenge Problem Answers:

Problem #23 – The Game of 24 (2, 5, 6, 8)

Problem # 23 Solutions – (2*5)+6+8; (5*6)-8+2; (6-5+2)*8; [(8-2)*5]-6


Problem #24 – The Game of 24 (2, 4, 11, 11)

Problem #24 Solutions – 11+11+4-2; 4/2+11+11


Problem #25 – Divisibility by 10

Problem #25 Solution – It is not true.

Special Right Triangles and Trig Ratios

This week the 7th graders worked with the two special right triangles (30-60-90 and 45-45-90) and the trigonometric ratios in a right triangle. Ask your student to share with you what the three trigonometric ratios are (sine, cosine and tangent) and what sides are included in their ratios. Next week, we are going continue using the trigonometric ratios to find missing angles and side lengths in triangles. At the end of the week we are going to start studying for the unit test which is on Monday, April 25. Please remind and help your student study for the test throughout next week to ensure that they will be successful on the test.


Challenge Problem Answers:

HW #98 – #20) x = 35 m

HW #99 – #23) x = 6, y = 5.2; #24) x = 2, y = 3.5


Wall Challenge Problem Answers:

Problem #20 – The Game of 24 (2, 7, 8, 8)

Problem # 20 Solutions – [(8-7)+2]*8 and [(8*7)-8]/2


Problem #21 – The Game of 24 (4, 10, 11, 20)

Problem #21 Solutions – (11-10)*4+20


Problem #22 – Daniel and Sebastian Snail Race

Problem #22 Solution – Daniel by ¼ of a meter

Right Triangles

Last week, the students were introduced to properties of square roots and right triangles. At the end of the week they worked with the Pythagorean Theorem. This week they will be working more with right triangles. By the end of the week, they will be able to explain why right triangles that share an angle are always similar and be able to identify & give the relationship between the two special right triangles. At the end of the week, they will also have an introduction into the trigonometric ratios found in right triangles.

Right Triangles

Last week, the students took the AzMERIT math tests. It was a draining week, but the students were troopers and did well. This week we will be starting our unit on square roots and right triangles with an introduction to trigonometry. These concepts are found often in later mathematical principles and in the world around us. We only have two more units to go in the school year so please remind your student to continue to stay focused and to finish strong.


This week the students will be taking AzMERIT. Math part one is on Wednesday and part two is on Friday. The students can use their own calculators on Wednesday (any scientific calculator, but no graphing calculators). We will not be having homework this week, but the students can be reviewing their notes for a few minutes each night to refresh their memory of the concepts we have gone over this year. In addition, the students should be getting good night’s sleep and bringing a low sugar/high protein snack.

Start of 4th Quarter and AzMERIT

I hope everyone had a good and refreshing Spring Break. This week we will be taking a practice AzMERIT test to familiarize the students with the format of the test and what tools will be available to use. Then we will review concepts that we have discussed throughout the year to refresh the material for the students.

To help the students review the material, you can help your student(s) go through their notes from this year and have them read and talk about the concepts.

The math AzMERIT tests will take place on Wednesday, March 30 and Friday, April 1.


This past week, we discussed different ways to represent a set of data. This included bar graphs, line graphs, stem-and-leaf plots, box-and-whisker plots, frequency distributions, histograms, frequency polygons, and measures of central tendency. Next week, we will discuss estimating results and review our statistics unit. The students will have their test on Friday over this unit.

Challenge Problem Answers:

HW #85 – #18) 14 to 16; #20) it is multiplied by 2

HW #86 – #9) stem 3, leaf 6; stem 4, leaf 1,3; stem 5, leaf 0,2,5,8; stem 6, leaf 1,2,3; stem 7, leaf 0,1,5

HW #87 – #21) 73.75; #22) x=83