March 30, 2020 Problem of the Day

Grade 6: Convert the following %s into decimals and fractions in simplest form:   20%,  35%,  72%,  175%,  5%

Grade 7: Solve the following problems: 

Grade 8: Find the mean, median, mode and range of the following set of numbers: 2, 7, 11, 11, 16, 24, 29, 33

Algebra: Solve the following problems: 

Geometry: Find the midpoint and the distance between for the following points:   (5 , 7) and (-3 , 5)       (9 , 4) and (3 , 5)

Algebra 2: Solve the following inequalities:

-4 < m - 5 < 2               9 + 2b < 7  or 7 - 5b < -8 

...

March 27, 2020 Problem of the Day

Grade 6: Solve the following problems:

                                  =                 

Grace 7: Solve the following equations: 

2x - 3 = 15                                    4x + 9 = 57

Grade 8: Simplify the following expressions. Write your answers in exponential form.  

Algebra: Solve the following radical equations: 

=                                   

Geometry: solve for the variables

...

Problem of the Day March 26, 2020

Grade 6

Label the three triangles as right, obtuse or acute and equilateral, isoceles, or scalene. Find the missing side length in triangle ABC.  

Grade 7

Find the area and the circumference of the circles below: 

Grade 8

Plot the following points on the coordinate plane: ( 4 , 2 ) , ( -2 , 4 ) and 

 ( -6 , -4)

Algebra

Write the equation of the line through the points ( - 2, 4 ) and ( 6, 8 ). 

Geometry

Find the measure of the labeled angles. Name the Theorem you used to get your answer. (Alternate Interior Angles, Consecutive Angles, Corresponding Angles, Vertical Angles, Alternate Exterior Angles)

Algebra 2

Graph the following system of inequalities: 

-3x + y < 2  and 2x + y > 1

Trigonometry

Use sin, cos and tan to find the labeled sides or angles. 

Pre-Calculus

Graph the following sin function: 

March 25, 2020

Grade 6:

What it the ratio of books to boxes when you have 42 books and 7 boxes?

What is the rate? What is the difference between a rate and a ratio? Give an example of when you might use a rate? 

Grade 7:

Solve the following equations for x:

2x + 5 = 23

4x - 7 = 21

3x = 72

Grade 8:

Find a set of 4 points that solve the following linear equation: 

-3x + 4y = -2

Algebra:

Solve the following system of equations: 

2x - 5y = 6

4x + 10y = 20

Geometry:

Describe the following geometric shapes. How are they alike? How are they different?  parallelogram, rhombus, square, rectangle

Algebra 2:

Solve the following absolute value equations: 

2| 3x - 6 | = 48

| 2x + 5 | = - 23

| 5x + 7 | -6 = 41

Trigonometry: 

Give the amplitude, maximum and minimum values (range), period, vertical and horizontal shift of the following sin function:

Pre-Calculus

Find the sum, difference, product and quotient of the following...

March 24, 2020

Grade 6

Place the following decimals in order from least to greatest: 1.02, 1.002,  102.022, 1.2, 12.02,

Grade 7

Convert the following decimals into a simplified fraction and a percent.

.04, .45. 1.25

Grade 8

Simplify the following exponential expressions: 

(2x)³, (2x²)³, (2x²)(2³x³)²

Algebra

Simplify the following radicals:

Geometry

Name the 4 triangle congruence theorems and draw and example of each.

Algebra II

Convert the following quadratic equation into vertex form: 

2x² + 16x + 12

Trigonometry

Give the values for sin and cos of the following angles: 

PreCalculus

Find the vertical and horizontal asymptotes of the rational function without graphing:

Answers: 

Grade 6: 1.002, 1.02, 1.2, 12.02, 122.022

Grade 7:

Grade 8:  8x³, 8x⁶, 128x⁸

Algebra:

Geometry: see this website https://www.appohigh.org/ourpages/auto/2014/11/17/63624959/Congruent%20Triangles.pdf

Algebra II:  2(x + 4)²...

March 23, 2020

Grade 6 

23.14 + 1.02 = ?

Grade 7

Grade 8

Categorize the following Real numbers as : Natural, Whole, Integer, Rational and Irrational. Make sure to include every appropriate category.

Algebra 

Add: 

Geometry

Describe the side length and angle measurements for equilateral, isosceles and scalene triangles.

Algebra II

Find the vertex and direction of opening for the following parabola.     

Trigonometry

You have a right triangle ABC with sides a and b and hypotenuse c. The length of side a is 6. The length of side b is 8. Find the length of side c and set up the 6 trig ratios (sin, cos, tan, csc, sec and cot) for angle A

PreCalculus

Write the transformation of the graph of y = x²  shifted right 4 units, up 2 units and reflected over the x axis.

Answers

Grade 6:     24.16

Grade 7:    

Grade 8:  -19 real, rational, integer

...

Each day the news brings more unprecedented closures including our schools. How can you help your student stay on track, or maybe even gain ground during this time? 

Fortunately, many students are already familiar with some form of online learning. The challenge is to help them stick to a schedule. We all do it. We get an unexpected snow or hurricane day and all we want to do is relax and enjoy. This closure is different. It isn’t a day to two. So far in Florida we are looking at two weeks and there is a very real possibility that it may be longer than that. 

It is critical that your student continue as though he or she was still attending school. Set up a work area and time expectations. Be specific! Don’t just say, “Go do your schoolwork.” Help them set expectations for how long assignments will take and prepare a schedule from there. I find it helpful to set time blocks rather than task completion. For example: 

8:00 - 9:15  Math...

So far in this series of posts we have talked about the why, the when and the where of studying. Now we are going to talk about the how; how to actually implement the plan. First of all, a plan is no good if you don’t use it. We have already talked about the fact that habits are easy and discipline is hard, so the first step it to be habitual. Find a time and a location that work for your student and encourage them to form good study habits!

Exactly how are you supposed to help your student build good habits. First, it is important to realize that nobody gets up in the morning and says, “Today I am going to have a crummy day.” If your student is not doing their best, there is a reason. Find it! Here are some common roadblocks.

They are having trouble understanding the material.

Nobody likes to do things that they aren’t good at. If your student is putting the time in, but isn’t seeing any results, they are going to be less willing to spend...

Location, Location, Location

So far in this series, we have talked about why you need to review and how to fit that review into your schedule. This post talks about the setting for your study time. We all know that certain settings encourage certain behaviors. When you walk into an auditorium during a performance, you try to enter quietly and not interrupt the event. When you walk into a party, you greet the others there and join in the fun. You don’t play baseball at the dinner table. Okay, that last one was a little extreme, but I had three boys and yes, it can happen. The point is make an intentional decision about where you study. 

Location

When you have a specific place that you use each time you study, your brain knows when you go there that you are ready to work. If you study sitting on your bed, your brain is confused. Are we getting ready to sleep or is this Shakespeare that I am reading important? There is a lot of material that you learn in school that requires...

In my last post, I talked about the need to review previously learned material in order to retain it. I am quite certain many of you thought, “Exactly WHEN am I supposed to do that?” when you read it.  I understand! Student’s schedules are beyond full! They have school 8 hours a day, 5 days a week. Many have extra curricular activities such as sports, dance, band, music lessons and/or clubs. They already have assigned homework that can take anywhere from an hour to three hours depending on the course load and the teachers. There is also the little matter of eating, sleeping and maybe, just maybe, having some time for fun! So exactly how are you supposed to add in EXTRA review. 

The most important piece of studying efficiently, both assigned and review, is consistency. As the title of this post points out, Habits are Easy! There are lots of things you do by habit and you don’t even think about. 

Your brain is trained to do certain things...