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Algebra I Teacher Resources
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Here is an excellent, detailed resource that builds on prior work done in Algebra I on domain and range of a function. Learners review the concepts of domain and range, then work in pairs to complete a worksheet of exercises in which they determine domain and range of a relation given its graph and state whether the relation is a function. After discussing their solutions with the class, each pair then selects an item from a grab bag which contains exercises with instructions to sketch possible graphs for a given domain and range. Note that solutions to exercises are not included.
Using a regression applet, your class can predict and explore the shape of the residuals of linear and non-linear data. Then through discussion, these learners can generate rules on how to analyze residual plots to recognize non-linear data. Round out the lesson with an investigation regarding SAT scores and best fit regression models. For an extra challenge, have the class use the regression applet to try to generate scatter plots to match given residual plots. Note: the Data Sets for Algebra I Handout mentioned as an optional resource is not available.
High schoolers are introduced to the techniques associated with interpreting functions. The vocabulary associated with this technique is reviewed, then pupils view a PowerPoint (embedded in the plan), that shows how to interpret functions. Learners then break into four groups and complete the assignments given by the teacher. Fantastic lesson!
Adjust this lesson to fit either beginning or more advanced learners. Build a scatter plot, determine appropriate model (linear, quadratic, exponential), and then extend to evaluate the model with residuals. This problem uses real-world data and challenges one to make predications based on the model.
This activity takes you from the basics of equations of lines (slope and intercepts) to scatter plots and lines of best fit. Interpret the slope using the context of the problem and use the regression line to extrapolate values. Included in the detailed lesson plans are a warm-up activity and a link for pre-lesson review on slopes of lines. Unfortunately, the link to the end of lesson PowerPoint evaluation does not work.
Mathematicians use an inquiry method to solve linear equations. In this linear equations lesson plan, students practice solving equations using addition, subtraction, multiplication and division. They solve multi-step equations and equations with variables on both sides of the equal sign. Each section features a class discussion, and work sample questions. The final activity requires students to work in small groups to plan a one-day trip to France.
What can a middle schooler do in 90 minutes? He can practice using the commutative, associative and distributive properties of addition and multiplication. He can also simplify expressions using the commutative, associative and distributive properties. Now that's time well spent!
Students discuss what good presentation looks like. In this geometry lesson, students discuss the 7 important steps required to be a good presenter. They start with their names and what they will be discussing and end with a thank you to all who helped with the creation of their work. They may work in groups.
Students investigate the formula used to solve quadratic equations. In this algebra lesson, students solve quadratic equations using the quadratic formula and the discriminant to tell where the graph will intercept the x-axis. They set the equation to zero and solve for x.
Students decompose a larger geometric shape into smaller parts. In this Algebra I/Geometry lesson plan, students examine the Orion spacecraft to determine its area. Students apply the area formulas for the various geometric shapes found in the decomposition model to estimate the area of the spacecraft.
Learners create a proposal to solve Wake County's problem with losing the North Wake landfill in such a way that: a new landfill site is agreed upon, Solid-wase disposal is in compliance with Local and State landfill regulations and waste disposal is safe and convenient.