Curated OER
Solution Sets
Here is a task that gives the graph of the solutions of a system of linear inequalities and asks learners to analyze and write the algebraic form of the systems. By turning the problem around, learners make the connections between...
Curated OER
Exploring Expressions
Examine parts of an expression in this algebra lesson. Ninth graders identify the properties of the coefficient and their behavior to the graph. They graph the equation on a TI to see their results.
Illustrative Mathematics
Summer Swimming
Here is a real-world application for systems of equations. When is it better to pay an enrollment fee and lower daily rate, and when is it better to pay the regular price? The local swim center is having a special offer, reductions in...
Curated OER
Graphing Inequalities in One Variable
Students graph inequalities on a number line. In this algebra lesson, students solve linear and compound inequalities and graph them on a number line. They write an inequality given the number line with the solution on it.
Curated OER
Practice solving systems of equations
Eleventh graders solve systems of equation. In this algebra lesson, 11th graders find the point of intersection of two lines if there is any, using algebra and graphing. They use substitution and linear combination to find the solution...
Howard County Schools
Constant Rate Exploration
Question: What do rectangles and bathtub volume have in common? Answer: Linear equations. Learn how to identify situations that have constant rates by examining two different situations, one proportional and one not proportional.
EngageNY
Modeling Relationships with a Line
What linear equation will fit this data, and how close is it? Through discussion and partner work, young mathematicians learn the procedure to determine a regression line in order to make predictions from the data.
Curated OER
Real-World Linear Equations
Eighth graders practice technology skills through the use of a spreadsheet and a discovery lesson focusing upon linear equations. The technology allows for the visual changes to be displayed for different lines of equations.
Virginia Department of Education
Transformation Investigation
Graph it! Investigate transformations with a graphing calculator. Pupils graph sets of linear functions on the same set of axes. They determine how changes in the equation of a linear function result in changes in the graph.
Curated OER
The King's Chessboard
Middle schoolers speculate on the better rate of pay: a dollar a day for 10 days, or a penny the first day, two pennies the second, doubling each day for 10 days. Start by listening to the story The King's Chessboard, by David Birch....
Illustrative Mathematics
Delivering the Mail
A mail truck travels the same amount of miles per day. It will be up to your algebra learners to find an equation for this mailman’s truck. One needs a good understanding of rate of change and the initial value for this model. The...
Curated OER
Introducing y = mx + b
Middle and high schoolers use the slope intercept form to graph a line. In this algebra lesson, pupils rewrite equations from standard form to y-intercept form. They use the slope and y-intercept to graph a line without making a table of...
Curated OER
Generating Points and Graphing
Students create a table of values to help them plot. For this algebra lesson, students plot their points on a coordinate plane creating a graph. They observe and analyze linear functions.
Curated OER
How Many Solutions to the System?
Solve systems of equation using graphing! In this algebra lesson, students use the TI to graph two lines and identify the number of solutions. They perform interactive graphing on the navigator.
Curated OER
Equations Lesson Plan
Seventh graders play "What's my Rule" beginning with simple equations and working towards harder problems as student's gain confidence. They evaluate the equations by graphing them. Students identify the slope and y intercepts of the...
Curated OER
Stories to Graphs
Students graph their solutions using a linear equation. In this algebra lesson, students rewrite words problems into algebraic equations and graph their solutions. They solve word problems dealing with real lie scenario.
Curated OER
Solving Equations as Word Problems
Students solve linear equations using word problems. In this algebra lesson, students rewrite the word problems by identifying the important information. They make a table and graph their results to analyze it.
Curated OER
Solving Systems of Equations by graphing for Algebra One
Students watch the teacher demonstrate on an overhead projector how to graph various equations before the students try them on their own. They start with pencil and paper; once they grasp the concept they move on to punching in the...
Curated OER
How Many Frogs?
Students explore the concept of linear regression. In this linear regression lesson plan, students find the line of best fit for a set of data pertaining to a frog population. Students use their line of best fit to predict the frog...
Curated OER
The Barbie Bungee Drop
What do math, bungee jumping, and Barbie® have in common? Young adventure seekers use rubber bands as bungee cords to predict a thrilling, but safe, jump for their doll. First, test jumps are conducted with a few rubber bands. Then more...
Willow Tree
Approximating a Line of Best Fit
You may be able to see patterns visually, but mathematics quantifies them. Here learners find correlation in scatterplots and write equations to represent that relationship. They fit a line to the data, find two points on the line, and...
Curated OER
Another Way of Factoring
Focusing on this algebra lesson, learners relate quadratic equations in factored form to their solutions and their graph from a number of different aspects. In some problems, one starts with the original equation and finds the...
Curated OER
Do Two Points Always Determine an Exponential Function?
Algebra learners explore, analyze and build an exponential equation given its form and a specific point that exists on the function in this task. The last question asks learners to apply their ideas to an exponential equation given two...
Curated OER
Explore Learning Exponential Functions
High schoolers graph exponential equations and solve application problems using exponential functions. They re-enact a story about a peasant worker whose payment for services is rice grains doubled on a checker board. They place M &...
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