EngageNY
Geometric Interpretations of the Solutions of a Linear System
An intersection is more than just the point where lines intersect; explain this and the meaning of the intersection to your class. The 26th segment in a 33-part series uses graphing to solve systems of equations. Pupils graph linear...
EngageNY
Linear Equations in Two Variables
Create tables of solutions of linear equations. A lesson plan has pupils determine solutions for two-variable equations using tables. The class members graph the points on a coordinate graph.
EngageNY
Lines That Pass Through Regions
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third lesson plan in the series. Pupils explore linear equations and describe the points of intersection with a given...
EngageNY
Dividing Segments Proportionately
Fractions, ratios, and proportions: what do they have to do with segments? Scholars discover the midpoint formula through coordinate geometry. Next, they expand on the formula to apply it to dividing the segment into different...
EngageNY
Perimeter and Area of Polygonal Regions Defined by Systems of Inequalities
When algebra and geometry get together, good things happen! Given a system of inequalities that create a quadrilateral, learners graph and find vertices. They then use the vertices and Green's Theorem to find the area and perimeter of...
Inside Mathematics
Aaron's Designs
Working with transformations allows the class to take a turn for the better. The short assessment has class members perform transformations on the coordinate plane. The translations, reflections, and rotations create pattern designs on...
EngageNY
Similarity
Use the coordinate plane to show two figures are similar. The lesson plan incorporates congruence transformations and dilations to move a figure on to another figure. Pupils determine that if a similarity transformation...
EngageNY
There is Only One Line Passing Through a Given Point with a Given Slope
Prove that an equation in slope-intercept form names only one line. At the beginning, the teacher leads the class through a proof that there is only one line passing through a given point with a given slope using contradiction. The 19th...
Curated OER
Narrow Corridor
Buying a new sofa? Learn how to use the Pythagorean Theorem, as well as algebra and graphing techniques, to determine whether the sofa will fit around a corner (which I'm sure you'll agree is a very important consideration!).
West Contra Costa Unified School District
Solving Systems of Inequalities
Don't throw away those transparency sheets just yet! Young scholars first review inequalities on a number line, then learn about graphing inequalities in the coordinate plane. Finally, they use overhead transparencies to create systems...
Achieve
Rabbit Food
Keep your pets slim, trim, and healthy using mathematics! Pupils use a linear programming model to optimize the amount and type of food to provide to a pet rabbit. They model constraints by graphing inequalities and use them to analyze a...
Willow Tree
Systems of Equations
Now that learners figured out how to solve for one variable, why not add another? The lesson demonstrates, through examples, how to solve a linear system using graphing, substitution, and elimination.
Charleston School District
Review Unit 4: Linear Functions
It's time to show what they know! An assessment review concludes a five-part series about linear functions. It covers all concepts featured throughout the unit, including linear equations, graphs, tables, and problem solving.
Curated OER
Line of Best Fit
In this line of best fit worksheet, learners solve and complete 8 different problems that include plotting and creating their own lines of best fit on a graph. First, they study the samples at the top and plot the ordered pairs given on...
Curated OER
Famous People: Teacher Notes
Young statisticians practice creating scatter plots. First, they estimate the age of 14 people. Next, they write down the estimate in a table labeled x. Then write down their actual age in the table labeled y. Using these x and y...
MARS, Shell Center, University of Nottingham
Defining Regions Using Inequalities
Your young graphers will collaboratively play their way to a better understanding of the solution set produced by the combining of inequalities. Cooperation and communication are emphasized by the teacher asking questions to guide the...
Curated OER
Graphing on the Coordinate Plane
In this geometry worksheet, 10th graders determine the midpoint of a line segment given the coordinates of the two endpoints or find the missing endpoint given the coordinates of the midpoint and one endpoint. The one page...
Curated OER
Graphing Quadratic Functions
In this math worksheet, students write 8 equations of the axis of symmetry and find the coordinates of each quadratic function. Students graph 4 of the equations and state if the vertex is maximum or minimum.
Curated OER
Coordinates
In this geometry activity, 10th graders are given points on a coordinate plane, and they must figure out what the x and y values are. There are 6 graphing question.
Curated OER
Solving Systems of Equations by Graphing
In this systems of equations worksheet, students solve each system of equations by graphing on a coordinate plane. Students identify the solution to the equations by the intersection of the two graphs. They also observe that parallel...
Curated OER
Variables, Formulas, Functions, Graphs and Linear Approximations
In this limitations of formulas worksheet, students answer four essay questions about functions. Two questions refer to the limitations of formulas. They graph one function and explain how it specifies the rule of the function.
Curated OER
Coordinate Plane
In this algebra activity, students investigate the coordinate plane through graphing, plotting and identifying the different quadrants. They identify vertical and horizontal lines in the coordinate plane. There are 10 questions with an...
Curated OER
Scientific Notation
In this scientific notation worksheet, 9th graders solve and complete 6 different types of problems. First, they rewrite each in scientific notation. Then, students simplify the expressions given. They also solve each equation by...
Curated OER
Find the Missing Coordinates
In this algebra worksheet, 10th graders analyze a graph and find the missing coordinate pair using the midpoint formula. There are 3 questions with an answer sheet.
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