New Buzzmath Activity – Using Elimination to Solve A System of Equations

Opp-o-sites attract! Right? Thanks to Paula Abdul, we know this is true. Did you also know that opposites eliminate?

This concept will prove to be very helpful when students practice solving systems of equations using the elimination method.

Using-Elimination-to-Solve-A-System-of-Equations

Students are off to an exciting start in this activity as they explore and review the concept of combining opposite integers using an interactive manipulative. They continue to use this knowledge throughout the activity as they select and eliminate one variable in order to solve for another. Each page adds a little more complexity leading to the introduction and application of the Multiplication Property of Equality. Students will practice applying this property as they create equivalent equations that are easier to work with as they solve systems of equations. At the culmination of this activity students may be stateing…2 steps forward and 2 steps back…we go together because opposites ELIMINATE.

Click here to try : Using Elimination to Solve A System of Equations

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New Buzzmath Activity – Equations and Inequalities – Solve and Graph Two-Step Inequalities

This one is a role reversal!

Up to this point, students have been exposed to expressing basic real world problems with inequalities using only positive coefficients. The activity Solve and Graph Two-Step Inequalities is the first opportunity for students to use negative coefficients with inequalities.

Equations-and-Inequalities---Solve-and-Graph-Two-Step-Inequalities

The activity begins by using a number line to show students that when they multiply or divide by a positive number the inequality remains true. This is followed by a review of the similarities between solving an equation and solving an inequality, using only positive numbers. Now students are ready to move to multiplying and dividing by a negative number. Again, the use of a number line shows that multiplying or dividing by a negative number causes the inequality to reverse for the expression to remain true.

Once students have mastered these skills, they solve two-step inequalities, translate between word problems and symbols, show solutions visually on a number line, and interpret their solutions verbally. This activity is a great preparation for inequalities they will encounter in the future.

Click here to try : Equations and Inequalities – Solve and Graph Two-Step Inequalities

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New Buzzmath Activity – Using Substitution to Solve A System of Equations

There may be no substitute for hard work, but there can be a substitute for x or y.

Students will practice solving systems of equations using the substitution method in this activity. They will begin by seeing an ordered pair as a solution to a pair of linear equations on a coordinate grid and explore how the x and y values relate to the equation. From here students will practice replacing expressions and variables with equivalent ones to solve systems of linear equations. Students will continue their practice exploring each step of this method in detail. Keep up the hard work…and leave the substitution to the variables.

Using Substitution to Solve A System of Equations

Click here to try :  Using Substitution to Solve A System of Equations

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New Buzzmath Activity – Multi-Step Problem Solving with Rational Numbers

There’s a familiar expression (or some variation of the expression) that says “there’s more than one way to scare a cat,” which simply means that there’s more than one way to do something. The activity Multi-Step Problem Solving with Rational Numbers helps students to understand that there’s more than one way to arrive at the solution to a problem.

Multi-Step-Problem-Solving-with-Rational-Numbers

This activity requires students to solve real world and math problems with numbers in different forms, using strategies of mental computation and estimation as well as equations and expressions. In this way students are able to see that numbers in the real world are often presented in different forms and they can develop strategies to work with these numbers.

Not every problem in the real world requires a precise solution. For example, centering a shelf on a wall may prove to be slightly off centered when measured precisely, but may appear perfectly centered to the eye. Students come to the realization that they can use estimation in a situation like this. On the other hand, determining the amount by which a person’s wage will increase when numbers are given in different forms require precise calculations and an understanding of how to convert and work with these numbers. So, I guess it must be true….there’s more than one way to scare a cat!

Click here to try Multi-Step Problem Solving with Rational Numbers 

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New BuzzMath Activity – Solving Word Problems with Inequalities

In the real world, things are often, more or less…..unequal. No pun intended! Students need to be able to translate verbal descriptions to math symbols containing inequalities when solving many real world problems. This is where the activity Solving Word Problems with Inequalities comes in. In the previous grade, students were exposed to inequalities at a very basic level. Now they are representing real world problems with two-step inequalities, solving them, and graphing the solutions on number lines.

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In this activity, students are required to do a fair bit of “interpreting.” First they need to interpret verbal descriptions, looking for keywords and phrases that suggest inequality. After solving the problems, students then need to interpret the solutions in the context of the problem. Sometimes that means rounding the solutions up or down, or even graphing a set of discrete points, rather than continuous ones.The numerous interactive objects in this activity will certainly keep students engaged.

Click here to try Solving Word Problems with Inequalities

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New BuzzMath Activity – Solve and Graph Two-Step Inequalities

This one is a role reversal!

Up to this point, students have been exposed to expressing basic real world problems with inequalities using only positive coefficients. The activity Solve and Graph Two-Step Inequalities is the first opportunity for students to use negative coefficients with inequalities.

Equations-and-Inequalities---Solve-and-Graph-Two-Step-Inequalities

The activity begins by using a number line to show students that when they multiply or divide by a positive number the inequality remains true. This is followed by a review of the similarities between solving an equation and solving an inequality, using only positive numbers. Now students are ready to move to multiplying and dividing by a negative number. Again, the use of a number line shows that multiplying or dividing by a negative number causes the inequality to reverse for the expression to remain true.

Once students have mastered these skills, they solve two-step inequalities, translate between word problems and symbols, show solutions visually on a number line, and interpret their solutions verbally. This activity is a great preparation for inequalities they will encounter in the future.

Click here to try Solve and Graph Two-Step Inequalities

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New Buzzmath activity – Comparing Two Numerical Data Distributions

Can we compare apples and oranges? We certainly can…when we use statistics!

In the activity Comparing Two Numerical Distributions, students compare two populations by looking at the similarities and/or differences between them. The populations in this activity are drawn from familiar real world scenarios to which students can relate. This way, the comparisons and interpretations make more sense to students.

Comparing-Two-Numerical-Data-DistributionsStudents will extend the skills they have already learned for finding measures of center and variability for one population to finding these values for two populations, and using the values to compare the populations. With visual representations, such as dot plots and boxplots, students can also draw visual comparisons between the populations to make interpretations.

Click here to try: Comparing Two Numerical Data Distributions

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New BuzzMath Activity – Word Problems Using Systems of Linear Equations

When am I ever going to use this? How many times do you hear these words in a math classroom? Students have been learning how to solve systems of linear equations using different methods including graphing, substitution and elimination. Now that they have experience and knowledge of these methods they will have the opportunity to apply their skills by solving problems involving real life situations using systems of equations in the activity, Word Problems Using Systems of Linear Equations.

Solve-Word-Problems-with-Inequalities

As students progress through this activity they will see the application of solving systems of linear equations in situations such as hiking and ordering salads and sandwiches. They will work through numerous problems practicing solving systems and using reasoning to determine the best method for each unique situation.

So when will you ever use the substitution method in real life? It might just be the next time you go to rent a video game. Check it out!

Click here to try : Word Problems Using Systems of Linear Equations.

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New Buzzmath Activity – Identify Functions of a Graph

For every tick there’s a tock, for every ying there’s a yang and for every input there is an output. Well, this is true if you are a function. What exactly is a function? What does a function look like? Identify Functions of a Graph will not only answer these questions for students, but will also give students the opportunity to explore, identify and interpret functions.

Identify-Functions-of-a-GraphStudents will be given numerous opportunities to investigate the concept that rules that take x as an input and y as an output is a function. They will use tables, equations, coordinate points and graphs to represent and identify functions. This activity serves as  a great introduction to a function and the many ways they can be identified and represented.

Click here to try: Identify Functions of a Graph

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New Buzzmath activity – Graphing Proportional Relationships

Remember those unit rates you taught way back when? Well we are using them again as we explore proportional relationships in graphs.

Graphing-Proportional-Relationships

Dollars per pound, amount paid per hour, miles per minute…We will look at them all as students explore the connection between the unit rate and the slope of a line. They will use this connection as they practice interpreting and comparing relationships represented in different forms including equations, tables, graphs and written situations.

I think it’s safe to say that the relationship between time spent and fun is a positive one in this activity!

Click here to try Graphing Proportional Relationships 

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