EngageNY
Solving General Systems of Linear Equations
Examine the usefulness of matrices when solving linear systems of higher dimensions. The instructional activity asks learners to write and solve systems of linear equations in four and five variables. Using matrices, pupils solve the...
EngageNY
Solving Equations Involving Linear Transformations of the Coordinate Space
Explore methods for solving linear systems with your classes and introduce learners to using matrices as a viable method. Scholars are able to recognize situations where matrices are the efficient method of solving. Application...
EngageNY
Informally Fitting a Line
Discover how trend lines can be useful in understanding relationships between variables with a lesson that covers how to informally fit a trend line to model a relationship given in a scatter plot. Scholars use the trend line to make...
EngageNY
Computing Actual Lengths from a Scale Drawing
The original drawing is eight units — how big is the scale drawing? Classmates determine the scale percent between a scale drawing and an object to calculate the length of a portion of the object. They use the percent equation to find...
EngageNY
The Relationship of Multiplication and Addition
You know 4 + 4 + 4 = 3(4), but what about x + x + x? Pairs work together to develop equivalent expressions relating multiplication and addition in the third lesson of a 36-part series. They extend their knowledge of multiplication as...
EngageNY
Writing Addition and Subtraction Expressions
Symbols make everything so much more concise. Young mathematicians learn to write addition and subtraction expressions — including those involving variables — from verbal phrases. Bar models help them understand the concept.
EngageNY
Writing and Evaluating Expressions—Multiplication and Division
Don't table the resource on writing expressions for relationships in tables. Scholars investigate relationships between variables and write algebraic expressions involving multiplication and division. These expressions help solve...
Curated OER
Eutrophication
Students observe the effects of eutrophication and determine why it is harmful to aquatic ecosystems. They create mason jar ecosystems to observe the growth of algae in pond water. In addition, they observe the effect of introducing...
Curated OER
Solving Systems Using Matrices
Explore the concept of systems of equations in two variables and use matrices to solve them. Young mathematicians enter coefficients and constants into a matrix and then solve using row reduction. Instructions on how to use the shortcut...
Curated OER
Scientific Method: How Many Drops of Water Fit on a Coin?
Young investigators conduct an experiment using the scientific method. They see how many drops of water fit on a coin; have them conduct several different trials. This involves making a hypothesis, looking at controls, and introducing...
Perkins School for the Blind
The Germinator
How does a plant grow from a seed? Observe the process with a clever idea from the PBS television show ZOOM. Watch the video, then have your young botanists create their own germinators. The lesson described here is for visually impaired...
Illustrative Mathematics
The Sign of Solutions
Positive or negative, zero or no solution, are all possibilities for the solution of a linear equation. Here the resource gives examples of linear equations in one variable and their type of solutions. The resource comes with commentary...
Illustrative Mathematics
Operations on the Number Line
A different way to look at integers is on this number line with variables in place of numbers. Learners are to look at different expressions and describe why they think the answer would be positive or negative, depending on the location...
Curated OER
Increasing or Decreasing? Variation 1
Your algebra learners analyze the value of an algebraic expression to decide if it will increase, decrease, or stay the same when one variable is changed as the others stay constant. Their collaborative efforts culminate with a written...
Curated OER
Increasing or Decreasing? Variation 2
Your algebra learners will manipulate an expression's form in order to make obvious the value of it increasing, decreasing, or staying the same, when one variable is changed as the others stay constant. Your future physicists'...
Mathematics Assessment Project
Representing Inequalities Graphically
A new, improved version of the game Battleship? Learners graph linear inequalities on the coordinate plane, then participate in a game where they have to guess coordinate points based on the solution to a system of linear...
West Contra Costa Unified School District
Square and Square Roots
Root for your pupils to learn about roots. Young mathematicians first review the meaning of squares and square roots. They then use this knowledge to simplify square roots of monomials with variables.
West Contra Costa Unified School District
Solving Equations Using Balance Scale, Decomposition, and Graphing
There's more than one way to solve an equation — three, actually. Scholars learn how to solve simple linear equations in one variable using three different methods, which include using balance scales, using decomposition (e.g., turning...
Science Matters
Energy from Water Wheels
Historians believe the first vertical water wheel was invented in Rome during the Augustan Age. The sixth instructional activity in the series of 10 has scholars experiment with designing their own water wheels. Through testing various...
Science 4 Inquiry
The Ups and Downs of Populations
As the reality of population decline across many species becomes real, pupils learn about the variables related to changes in populations. They complete a simulation of population changes and graph the results, then discuss limiting...
National Nanotechnology Infrastructure Network
Lab 2: Nanocatalysts Clean Your Car Emissions
Surface area certainly surfaces as a variable for chemical reaction rates. Scholars perform an experiment to discover how the size of catalysts affect the rate of a chemical reaction. They record their results in tables and graphs to...
Project Maths
Correlation Coefficient
Of course, there might be a correlation! Young mathematicians investigate several different data sets, create scatter plots, and determine any correlation. They consider whether a causation exists between any of the variables in question.
PBS
Regional Patterns of Climate: Pacific Northwest
Climate systems involve sunlight, ocean, atmosphere, ice, land forms, and many other factors. Scholars explore each of these variables related to the Pacific Northwest rain forest. They use an online interactive to investigate the polar...
Bonneville
Compost Bioreactor Design
Organic waste is a hot topic. The second of three installments in the Bioreactor Water Heating unit challenges pupils to create bioreactors that collect energy released from compost. After watching videos on the properties of water and...
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