News

Spring Forward Into More Math! March 9-13, 2020

Math ….  a place to ponder deep and unique questions…..

6th Grade Math – Mrs. Evans    

Our class continues with Chapter 8, learning to solve equations. Students have to opportunity to extend our learning into two step equations if they are comfortable and confident with one step equation solutions!  We will also investigate inequalities; how they are evaluated, how to write them and how to graph them.  Student and families can use algebra to solve this problem.  Let me know if you have the answer!  

7th Grade Math – Mrs. Evans and Mrs. VonFeldt     

This week we are still studying geometry as we investigate surface area of pyramids and  prisms of all types. Below are some prisms that we are working with in class.

We will use a number of different methods to calculate the surface area, like nets and formulas.  Then we will find the volume of these same prisms.  Here is a great Math Antics video for those wanting a little more help understanding volume:

Algebra – Mrs. VonFeldt 

We will finish up the chapter on exponents and exponential growth with a test on Tuesday. In Chapter 8, we will simplify, multiply, and factor polynomial expressions. Most of the problems will involve binomials, which are expressions with two terms. These skills will become very important as we continue our study of quadratic equations and graphs.

Marching on in Math! March 2-6, 2020

Happy March!                                                                      This picture shows the importance of knowing math in school zones!

6th Grade Math – Mrs. Evans    

Our class has continued the study of algebra as we work in Chapter 8.  This chapter addresses equations and inequalities.  This week we will be using algebra to solve one step equations involving addition, subtraction, multiplication and division.  We have begun to work independently so that students can work to their speed and level.  Here is what it looks like to apply the principles we are learning this week to the mathematics of life:

7th Grade Math – Mrs. Evans and Mrs. VonFeldt     

This week we will continue the study of geometry as we investigate the area of basic shapes like circles, triangles, parallelograms and trapezoids.  Using those formulas we will be able to find the area of composite figures.  We will find it simple to determine the area of figures like the one below:

As we finish the week, we will begin to consider 3 dimensional figures (prisms) and how we can find their surface areas. 

Algebra – Mrs. VonFeldt 

We are continuing to simplify exponential expressions using the properties of exponents. Students have explored all types of exponents including zero, negative, and fractional powers. This week we will look at exponential growth and decay and see how it is useful when considering interest rates or loan rates, something everyone will need to know! The Chapter 7 Test will be next Tuesday.

Happy President’s Day! MS Math Feb 18-21

A little triangle humor for your week!

6th Grade Math – Mrs. Evans    

Our class will continue working in Chapter 7, learning the basics of algebra.  We are setting the stage for some great algebra!  This week our primary focus is to recognize and write equivalent expressions.  This requires that we use the properties of addition and multiplication.  We will be using the distributive property as well.  ln last week’s post, there was a video from Khan Academy about using the distributive property.  Feel free to go back and watch that video if you want.  Below, Math Antics, presents the topic as well.  It is a very important topic in algebra!

7th Grade Math – Mrs. Evans and Mrs. VonFeldt     

This week we will continue to study triangles and angle relationships.  We will apply what we learn to solving algebraic equations.  It is fun to see how all the things we are learning becomes integrated into great math thinking.    Here is a link for additional review about angles – especially complementary and supplementary angles.  

 

I hope these videos helped you!  Feel free to visit us in study hall as well!

Algebra – Mrs. VonFeldt 

This week we will wrap up our study of systems of equations with a test on Friday. Students can now solve any system of linear equations using multiple strategies. Next week we will begin to explore the laws of exponents and how we can use these concepts to simplify problem solving.

We  ♥ math!

      Happy Valentine’s Day! ♥

6th Grade Math – Mrs. Evans    

This week our class will continue with Chapter 7, learning the basics of algebra. This week we will be evaluating expressions for given values of the variables, combining like terms, writing equivalent expressions, using the distribution property and, of course, applying all this to solving real life problems.    Using the distributive property is a new concept.  Encourage your students to view this video for some extra help.

7th Grade Math – Mrs. Evans and Mrs. VonFeldt     

This week we will continue to study some really fun topics in geometry.  We begin with an investigation of triangles.  We will make two important observations about triangles: 

Observation 1 – the sum of the two smaller sides must be greater than the third side Observation 2 – the sum of all three interior angles equal 180  degrees       

These facts about triangles help us when we need to solve problems. 

We will investigate the 2D shapes that result from cross sections of various 3D sections.    

Finally, angle relationships will also be investigated.  Two intersecting lines create an assortment of angles that have interesting relationships.

Please encourage your students to study these terms so that we can effectively apply them next week.

Algebra – Mrs. VonFeldt 

This week we will continue our study of systems of equations. We have used 4 different strategies: Graphing; Substitution; Elimination, and Multiplying to create equivalent equations. We will look at when each of these strategies is the best to pursue.  Then we will end the week looking at systems of INEQUALITIES and what kinds of problems we can now solve. There will be a Chapter 6 test next week. 

MS Math February 3 – 7, 2020

Hello Mathematicians!   Hope you are staying WARM this week!    

6th Grade Math – Mrs. Evans    

This week we begin doing algebra in Chapter 7 – Expressions.  We begin the chapter learning about exponents and how to use the order of operations when we have exponents in the equation. 

We can use a mnemonic, PEMDAS, to help us remember the order of operations:                  P – parentheses, E – exponents,  M D – multiplication & division, A S – addition & subtraction    Here is a MATH ANTICS video to help you know your order of operations:   

We will move from there into writing algebraic expressions and being able to identify terms and coefficients.     

7th Grade Math – Mrs. Evans and Mrs. VonFeldt     

This Week we are beginning geometry as we begin Module 8.  We will get out measuring tapes to sketch our classroom and make scale drawings of it, as we learn to scale dimensions using proportional thinking.   We will investigate the magnificent triangle and see what things we can know are true about this great shape.      

Did you know that you can determine the height of a tall tree using a post, shadows and proportions? Can you determine the height of this tree? 

 

 

 

 

Scale drawings are used in many different professions.  Help your students recognize where having a scale drawing would be helpful!

Algebra – Mrs. VonFeldt 

This week we begin to solve systems of linear equations, in other words, finding the point of intersection of two or more lines. We will begin by graphing and then move to algebraic ways of solving as the equations get more complicated. The two most common algebraic methods are substitution and elimination. In this chapter, students will need to use previously learned skills such as rewriting, graphing, and finding equivalent equations.

Middle School Math Jan 27-31

Enjoy the last Snow Sports Day on Tuesday!

6th Grade Math – Mrs. Evans    

This week we will finish Chapter 6, in which we have learned about using conversion factors to convert between units of length, capacity and mass.  We also learned how to transform units in help us solve real world problems.  We will finish this week with solving problems involving distance, time and rate.  We will practice using formulas in these rate problems.  We will have a test on Chapter 6 Thursday and do a one day project on Friday, in which we begin using expressions.

7th Grade Math – Mrs. Evans and Mrs. VonFeldt     

This week we will finish our studies of Expressions, Equations and Inequalities.  The same basic skills are used in solving both equations and inequalities.  The largest difference is that when we are solving inequalities, and we multiply or divide by a negative number, we have to flip the inequality sign.  We will test on these topics Thursday and Friday.   Remember that Khan Academy is a great place to find additional help (see earlier posts for links on all of these topics).  

Algebra – Mrs. VonFeldt 

This week we are completing our study of inequalities by graphing solutions in two variables. This means that our boundary is now a line and the solution is the shaded area either above or below the line. There will be a Chapter 5 test on Thursday. Next week we will begin looking at systems of equations.

 

What’s Up? Week of Jan 13-17 – SNOW DAYS SHIFTED THIS TO Jan 20-24

Cool Math Facts about Snowflakes
  • Snowflakes have six points and are hexagonal.
  • Snowflakes have from 180 billion to 10 quintillion (1019) molecules of water.
  • They fall at a rate of 3.1 miles per hour.
  • Snowflakes have 6 basic types based on their 3 dimensional shape: flat, column, stars, dendrite, lacy, needle, and capped column.
  • The temperature of the air and the humidity where the snowflake forms determines the type of snowflake that will form. Dendrites form when the air temperature is between -8 degrees Fahrenheit to 14 degrees Fahrenheit.
  • Snowflakes do not have perfect symmetry.
  • A branch of geometry called fractal geometry helps explain the figures of snowflakes. A mathematician, Helge von Koch, created the Koch snowflake based on the Koch fractal curve.         https://en.wikipedia.org/wiki/Koch_snowflake

6th Grade Math – Mrs. Evans    

This week we will continue studying conversions  We have learned how to covert measurements of length, capacity and weight.  Now we will see how we can transform units to help us solve real world problems.   We will also study how rates, distance and time are related and use formulas to find them.   

If we have snow days, students should work on their homework, and visit IXL.COM (Section T- UNITS OF MEASUREMENT)  for some practice on conversions.   Here is a direct link to IXL.COM:             IXL.COM

7th Grade Math – Mrs. Evans and Mrs. VonFeldt     

This week we will continue to learn about inequalities, how to write them, solve them, graph them and evaluate whether a value makes the inequality true.  We will be applying much of what we learned in solving equations to solving inequalities – with the exception that we MUST reverse the inequality sign if we multiply or divide both sides of an inequality by a NEGATIVE number.  It is the action of multiplying or dividing by a negative number that calls for the reversal of the inequality sign.   There are Khan Academy videos that can help students with writing, solving and graphing one and two step inequalities.  There are a number of choices for students to pick from, depending on what they would like clarification on – visit this site for more clarity:               KHAN ACADEMY INEQUALITIES

If we have snow days, students should work on their homework, and visit IXL.COM (Section T- UNITS OF MEASUREMENT)  for some practice on solving inequalities.  It is a great opportunity to work on areas you would like better mastery of as well!   Here is a direct link to IXL.COM:                IXL.COM

Algebra – Mrs. VonFeldt 

This week we will learn to solve inequalities in two variables. For example: y > 2x – 1. In this situation, we are looking for a boundary LINE (instead of a point) and our solution set will consist of all the points either above or below the line. 

There will be a test on Chapter 5, covering all types of inequalities, next week.

Math as 2020 Begins!

6th Grade Math – Mrs. Evans    

We begin the new year, moving into Chapter 6, Units of Measure.  We will be using ratio thinking to convert customary and metric units in length, capacity and mass. If we set up our labels (units) on ratios the right way, they cancel out, letting us know that we have set up the conversion right.  

The conversion above was with Customary units.  We can use the same method with Metric units.  Metric units are a base ten system so conversions can also be made by multiplying or dividing by the correct base ten number.  The following picture shows how to make length conversions in the metric system using this method. 

 

7th Grade Math – Mrs. Evans and Mrs. VonFeldt     

We finished 2019 learning about algebraic expressions and solving one and two step equations.  We will be building on what we learned this week.  For any student who is not confident in expressions and equations, please work in IXL, sections R and S.  I recommend taking a little time doing a problem or two from each section but be absolutely sure that you work sections S-4 and S-5.   Here is a link to IXL:           IXL.COM

We will continue Unit 3 as we extend what we learned about expressions and equations to writing and solving inequalities.   When we solve inequalities, we use the same principles as we did with equations with one major difference.  If we multiply or divide both sides of an inequality by a negative number, we have to reverse the sign of the inequality.   

Writing inequalities requires that we listen for key words like no more than, at least, and at most, and similar phrases.   Here is an example of how we will be solving inequalities.  

Algebra – Mrs. VonFeldt 

This week we will continue to build on our knowledge of solving inequalities (see all the information from 7th grade above). We will now use what we have learned solving multiple step inequalities and apply that to compound inqualities where we may have two boundary points to work with. Then we will look at absolute value equations and explore how that affects our solutions and solution strategies. As always in algebra, students will look at different representations of these situations such as graphs, tables, and algebraic statements.

MS Math Through Advent

We hope you are having a meaningful Advent season! This post covers the middle school math plans for the last two weeks before the Christmas break.  We wish you a great Advent, Christmas and New Years!  

6th Grade Math – Mrs. Evans    

Over the past week, we have begun learning about percents.  Percents are simply a special kind of ratio – one which compares a number to 100.  Percents are important, useful concepts that you can reinforce at home very easily.  Last week, in addition to learning what a percent is, we have learned how to write fractions and decimals as percents and percents as fractions and decimals.  

This week we are extending our understanding of percents to understand how to determine a percent of something.  We will do all sorts of problems using percents.  We will have a test on Chapter 5 on Friday, leaving us free to do a special holiday math project next week!  

While you do your Christmas shopping, point out to your student all the places you can see percents and challenge them to covert the percents they see into decimals or fractions.   Ask them what the savings will be on sales (percent of something).  You can help your student really appreciate the value of understanding percents!  

Here are some links to extra help with percents at 6th grade level.   Also remember that IXL.COM is a good place for extra practice!  

KHAN ACADEMY – INTRO TO PERCENTS 

KHAN ACADEMY – PERCENTS TO/FROM DECIMALS AND FRACTIONS 

KHAN ACADEMY – PERCENT PROBLEMS

7th Grade Math – Mrs. Evans and Mrs. VonFeldt     

Last week, after finishing our study of how to use percents, we moved into Module 6 which covers algebraic expressions and equations.  We began with a review of what we already know about algebraic expressions – how to simplify them and how to evaluate them for specific values.  Here a link to a Khan Academy lesson for students who would like more help with combining like terms.   

KHAN ACADEMY – COMBINING LIKE TERMS

KHAN ACADEMY – SIMPLIFYING EXPRESSIONS

We will continue this week with solving one step and two step equations.  We did this last year but we have added complexity by using rational numbers (positive and negative).  We spent quite a bit of time at the beginning of the year learning how to add, subtract, multiply and divide with negative numbers and those skills are very important now.  For students who feel a refresher on how to work with negative numbers, please review Modules 1 and 2.  We will review what we learned last year – how to apply the inverse operations and KEEP THE EQUATION BALANCED (i.e. if you do something to one side of the equation, be sure to do the exact same thing to the other side of the equation).  

Here is a link to a little extra help with solving one and two step equations:   

KHAN ACADEMY – SOLVING TWO STEP EQUATIONS

We will test on Module 6 next week and then have a small holiday math project before we leave for Christmas break.  

Algebra – Mrs. VonFeldt 

This week students are finishing Chapter 4 with a test on Tuesday. So far this year they have become very familiar with linear equations. We have written them in three different forms, written them from verbal situations, graphed equations, and explored how to fit a line to a correlated data set in order to predict values. In Chapter 5 we will look at INequalities. These can be solved in very similar ways with a few exceptions. Next week, we will finish the year with a fun graphing project.

 

 

MS Math Until Thanksgiving Break

This is our last middle school math post until after Thanksgiving!  Happy Thanksgiving!  We count you among our blessings!

6th Grade Math – Mrs. Evans     

We will continue working through our lessons on rates, ratios, unit rates and proportions, finishing with a test next Wednesday before we leave for Thanksgiving break.  In these lessons we will be expanding on what we know about ratios and rates, rewriting them as unit rates so that we can compare rates.  We will learn to graph proportional relationships and investigate how we can use the graph to answer questions.

Please visit IXL.com  or Khan Academy if you have questions about rates, ratios and proportions or if you want to delve in a little deeper.  

7th Grade Math – Mrs. Evans and Mrs. VonFeldt     

We have been learning new ways to use percents and applying it to markups and markdowns that we use in daily life.  We will calculate discounts, taxes, interest and retail prices.  We will practice solving problems that required using multiple percentages.  All of this new information can be found in Module 5, which we plan to finish next week with a test on Wednesday. 

Khan academy has a excellent set of videos about percent change and percent applications.  See the link below for additional help or clarity:   

Khan Academy Percent Word Problems   

Algebra – Mrs. VonFeldt 

 

After completing our unit on graphing linear equations, we are going to turn our attention to writing linear equations. Students will become very familiar with the formula y = mx + b. We will look at how to write an equation when given the slope and y-intercept OR the y-intercept and a point on the line OR two points on a line. We will also explore real-world problems that involve rates of change and starting values and write equations to represent those situations.