Mizenko Math Lessons

This lesson introduces students to the ideas of effect size and power by building directly on their existing understanding of Type I and Type II errors, hypothesis tests for proportions, and significance level (α) by comparing sampling distributions and calculating probabilities using the normal model. This lesson is student-driven and teachers should primarily act as facilitators providing brief input, asking clarifying questions, and supporting students as they reason through the scenarios. Th

This resource combines Harry Potter (information is provided for students who may not know Harry Potter) and linear change. Students interpret parts of slope-intercept to match equations to characters and determine their rates of change and what those represent in context. Students practice evaluating and interpreting function notation. Students create equations in slope-intercept form. Students graph many equations on one graph then find points of intersection. Students interpret points of inte

Students approximate the volume of The Great Pyramid of Giza by calculating the volume of each layer. This requires finding the angle of elevation then using similar right triangles to approximate the width of each step so they can find the width of each layer. A google sheet is linked to show students how to do calculations of this magnitude efficiently. A video explaining the volume formula proof is also linked to show students the use of mathematical models to approximate volume instead of sl

Students create their own definition of circles, spheres, surface area, and volume to relate the topics. Then, video aides explore the relationship between circles and surface area, volume of cones and volume of spheres. Students use these relationships to draw connections between the formulas for spheres, cones, and cylinders to increase equation retention and conceptual understanding. Leveled practice problems are included in the lesson followed by a student practice worksheet linked in the

Students investigate the volume of a cone by approximating it as cylinders. This is an introduction to the concept of Calculus. Students are then introduced to the formal definition of a cone and how it relates to the volume of a cylinder in video format. To practice these skills, students are given free response questions and then convert their answers to fit in an SAT student produced response grid. The warm up introduces the concept of pi using a hands on string activity. In the paperclip f

This is a hands on, student-centered activity that has students measuring the volume of a drip of water using science equipment and basic math calculations. Students generate a linear equation and do many conversions. This is a great lesson to get kids engaged in math, build relationships, promote problems solving, and try out cross-curricular material at a relatively simple level. Great for algebra 1 students at the beginning of the year or math 8 students at the end of the year. Post-able w

Four weeks into remote learning, I am finally reviewing Quadratics. We skipped quadratic formula and completing the square to avoid tremendous amounts of confusion and misconceptions. This review is written at a level the students can (hopefully) follow. It reviews how to do each type of problem, gives a few practice problems, then shows step-by-step how to complete each problem. It covers -graphing from vertex form -graphing from standard form -graphing from factored form -solving by graphing

This is a BINGO board with 25 systems of equations review problems. Topics covered include solving systems using all methods, systems of inequalities, word problems, writing systems, and interpreting solutions. This was a whole period review activity that is easily adjusted for strong and struggling students.