Resources: Math and Science

This resource could be included in the gamebased learning lesson "Writing Linear Equations". It is a natural extension of using tables to find slopes. Students will use the geoboard to construct lines and find their slopes. This could then lead into an exploration and discussion of parallel and perpendicular lines and the relationship between their slopes.
CCSS.MATH.CONTENT.HSG.GPE.B.5  Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point). 

This resource could be included in the gamebased learning lesson "Writing Linear Equations". This virtual function machine will allow students to gain a better understanding of the x and yvariables in a linear equation, and allow them to see the input vs. the output.
CCSS.MATH.CONTENT.HSF.IF.A.1 Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of fcorresponding to the input x. The graph of f is the graph of the equation y = f(x). CCSS.MATH.CONTENT.HSF.IF.A.2 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. 

This resource could be included in the spreadsheet lesson that is an exploration of scatterplots. This manipulative allows students to plot points on a graph to create a scatterplot and then calculate the line of best fit.
CCSS.MATH.CONTENT.HSS.ID.B.6 Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. CCSS.MATH.CONTENT.HSS.ID.C.8 Compute (using technology) and interpret the correlation coefficient of a linear fit. 

This simulation could be included in the internetenriched lesson on parabolas. While some of the information will be hard for my students to understand, they will be able to see the simulation on the graph, allowing for a discussion of where the graph is increasing, decreasing, where the maximum is and what this means. The provided worksheets will work well in a teacherled group activity.
CCSS.MATH.CONTENT.8.F.B.5 Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally. 

This simulation will be a nice addition to the spreadsheet lesson that includes an exploration of scatterplots and lines of best fit. It includes numerous scatterplots based on real data. Students can create their own line of best fit before checking the simulator's answer. Includes correlation coefficient and residuals.
CCSS.MATH.CONTENT.HSS.ID.C.8 Compute (using technology) and interpret the correlation coefficient of a linear fit. 

This simulation will go well with the videoenhanced lesson "Creating Graphing Stories". Students can close the velocity and acceleration charts, allowing them to create a graph of distance vs. time as they move the man on the graph.
CCSS.MATH.CONTENT.HSF.IF.B.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. CCSS.MATH.CONTENT.HSF.IF.B.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. 

This could be a differentiated addition to the instructional software lesson plan "Box Plots". Students are asked to rearrange buildings to find the median, group them according to height to find the mode and use the given information to calculate the mean. While rather simplistic, this activity will work well for many of my students. Allowing them to manipulate the buildings will increase their understanding of the concepts.
CCSS.MATH.CONTENT.HSS.ID.A.2 Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. 

This simulation will be a great addition to both the shared docs and the videoenhanced lesson plans "Creating Graphing Stories". Students can graph either one or two runners. There is a slider to add points that can be dragged vertically. When the stopwatch is started, the runner(s) emulate the created graph.
CCSS.MATH.CONTENT.HSF.IF.B.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. CCSS.MATH.CONTENT.HSF.IF.B.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. 

This simulation would be a nice introduction to the internet enriched lesson "Parabola Exploration". Students can move the sliders for individual parts, allowing them to see the impact each piece has on the graph. A solid understanding of what each term does will help them successful complete the activities in the unit.
CCSS.MATH.CONTENT.HSF.IF.C.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. CCSS.MATH.CONTENT.HSF.IF.C.7.A Graph linear and quadratic functions and show intercepts, maxima, and minima. 

This interactive contains four activities: slope, slopeintercept, pointslope, and line game. All will fit well as an introduction to the gamebased learning lesson "Writing Linear Equations". Students can explore the simulations to see the effect changing the slope, and/or yintercept has on the graph. This will increase the levels of success while decreasing frustration when playing some of the games included in the lesson, such as Algebra vs. The Cockroaches, which is a very fastmoving game.
CCSS.MATH.CONTENT.HSF.LE.A.2 Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two inputoutput pairs (include reading these from a table). CCSS.MATH.CONTENT.HSF.LE.A.1.B Recognize situations in which one quantity changes at a constant rate per unit interval relative to another. 
Unit Conversions GizmoInteractive simulation for unit conversion.

Graphing Skills GizmoInteractive graphing simulation. Allows for the creation of a table when given a graph, or a graph when given a table. Graphs include bar, pie, line, and scatter.

Alpha DecaySimulates radioactive decay and halflife.

Art of Problem SolvingLarge collection of math video tutorials.

eMathematicsHuge online learning resource for grades 5  12. Students can create accounts to save work and teachers can track completed lessons.

Computing Technology for Math ExcellenceMaterials and resources for K12 math and calculus. Includes links for basic skills, games, simulations, virtual math manipulatives, and projectbased learning.

CSI: The ExperienceCommunity of math teachers that collaborate and share materials. Does not seem to be active currently but there are many good resources available.

IlluminationsPart of NCTM, includes lesson plans, videos, interactive simulations and investigations for all levels of mathematics.
