Review Activities and Games

These resources are intended for review and practice after initial instruction of the standards.

Strand: MATHEMATICAL PRACTICES (7.MP)

Strand: RATIOS AND PROPORTIONAL RELATIONSHIPS (7.RP)
Analyze proportional relationships and use them to solve real-world and mathematical problems (Standards 7.RP.1–3).
• Estimating: Counting Trees
This lesson unit is intended to help educators assess how well students are able to solve simple problems involving ratio and direct proportion, choose an appropriate sampling method, and collect discrete data and record them using a frequency table.
• Framing a House - student task
This task has students recreate house plans on graph paper and then determine how many linear feet of wall plate material will be needed.
• Grid and Percent It
This lesson plans provides a 10 x 10 model so that students can understand how to solve percent problems.
• Hay Bale Farmer
This lesson helps students understand volume by having them measure round and square hay bales.
• Holes
After watching a clip of the movie Holes from Walt Disney Pictures students will answer a series of questions, such as "If Stanley and X-Ray both dig one hole per day for a year, how much extra dirt will Stanley have dug than X-Ray?" and "How many times could that extra dirt fill one of the holes X-Ray digs?"
• IXL Game: Ratios and proportions
This game for seventh graders is designed to help them understand ratios and proportions, specifically by estimating population size using proportions. This is just one of many online games that supports the Utah Math core. Note: The IXL site requires subscription for unlimited use.
• Intercepts of Linear Equations video
This video introduces the topic.
• Inverse Proportions and Shadows in Practice
in this interactive a figure's shadow is projected on to a screen. Students then observe how the shadow changes as the figure moves farther away . Students also complete a chart that shows the distance of the figure from the light source and the height of the shadow helping them understand inverse proportions. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Inverse Proportions and Shadows in the Real World
A tour of drive-in theaters is the focus of this video. Students are asked to observe how the size of an object relates to its distance from the light source. In the classroom activity students do a hands-on experiments using a projector of other light source. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Linear Functions video
This video compares proportional and non-proportional linear functions.
• Living Wages in CA: Ratio and Rate in the Real World
The use of infographics helps us understand the costs of basic living expenses. The classroom activity has students look at real-life examples and data to calculate whether the minimum wage in their state can be a living wage. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Manipulating Graphs
This video demonstrates how to use the slope-intercept of a line to the graph of that line. The classroom activity has them demonstrate their understanding by finding equations for a set of lines through the origin. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Mixtures
This activity will help students understand percentages and mixture problems by working with two piles of colored chips.
• One-Dimensional Scaling To Find Unknown Heights
An interactive activity helps students understand real-world application of ratios and asks them to scale a model of a T-Rex for a diorama. In the classroom activity students are asked to draw scale models. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Point Slope Form and Standard Form of Linear Equations video
This a video explanation of the topic.
• Proportional Functions video
This video introduces proportional functions.
• Rate of Change and Slope video
This video introduces the concepts.
• Real-World Proportional Relationships: Gender Wage Gap
Students use an infographic to understand how wages of today compare with those of 50 years ago in this lesson plan. The classroom activity helps students understand and calculate the wage gap using media salaries for men and women. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Scale Models and Three-Dimensional Scaling in Practice
Students can use this interactive to explore how an object changes when enlarged by a factor of 10. They put this understanding to use in the activity when they compare two cubes of different sizes by volume and surface area. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Scale Models in the Real World
This video show scale models of railroads, dollhouses, and architecture to explain what the ratios represent. The hands-on classroom activity then has students create their own models. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Scaling
An interactive from Annenberg asks students to scale a picture by using the math strategies of multiplicative and additive relationships. Students then use those strategies to compare photocopies and rectangles in different scales. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Scaling Up Rectangles Using Simulations
This interactive allows students to create murals in different sizes by understanding two-dimensional scaling. The activity for the classroom has students use graph paper to draw and compare squares with different proportional dimensions and record the data as they change. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Scaling Up Rectangles in the Real World
By looking at murals in this video students see how artists use proportion and measurement to create them. The class then does an activity where they enlarge a drawing by using scale and then create a classroom mural. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Similar Figures and Unknown Heights in Practice
Students will learn about proportional reasoning in this interactive and how it can help find an unknown height as well as exploring proportional relationships among similar triangles. The classroom activity uses the interactive as a catalyst into a discussion of these math concepts. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Similar Figures in the Real World
A visit to the Louisville Slugger Museum and Factory shows students how measurement and engineering are involved in the creation of new baseball bats. The math skills of proportional reasoning and equivalent ratios are used in the classroom activity involving an oversized bat and a player. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.

Strand: THE NUMBER SYSTEM (7.NS)
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers (Standards 7.NS.1–3).
• Access Ramp - Student Task
This task has students design an access ramp, which complies with the Americans with Disabilities Act (ADA) requirements and include pricing based on local costs.
This Teaching Channel video and presentation help students to add and subtract integers using a number line and a song with motions. (14 min.)
• Adding Rational Numbers on the Number Line
In this interactive students must solve riddles about a wallaby jumping contest. But they must find equivalent fractions and common denominators to complete the riddle. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Addition and Subtraction of Integers
A card game in which positive and negative numbers are added together is the subject of this video teaching students how to add and subtract integers. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Framing a House - student task
This task has students recreate house plans on graph paper and then determine how many linear feet of wall plate material will be needed.
• IXL Game: Rational numbers
This game for seventh graders will help them understand rational numbers, specifically how to add and subtract rational numbers. This is just one of many online games that supports the Utah Math core. Note: The IXL site requires subscription for unlimited use.
• Modeling Fraction Division Using Comparison, Group Number Unknown
In this lesson students will learn how to solve a word problem involving the division of fractions by viewing an animation about a hedgehog's hibernation. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Modeling Fraction Division, Equal Groups, Group Size Unknown
The skill of dividing two fractions by groups of unknown size is the focus of this video. Students will learn how to solve a word problem using this process. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Modeling Fraction Division, Equal Groups, Number of Groups Unknown
This animated video shows students a model they can use to solve word problems involving the division of fractions. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Modeling Fraction and Mixed Number Division Using Arrays
Students will learn how to solve word problems that involve dividing fractions and mixed numbers by using a visual model. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Number Sets video
The video introduces and explains the topic.
• Repeating Decimal Rings
In this interactive activity you will explore the patterns that occur when expanding seventh and thirteenth fractions into decimals. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
In this filmed lesson students master integer addition using number lines as a visual tool. (5 minutes)
• Zero Pairs, Manipulatives, and a Real-World Scenario
In this filmed lesson, students use manipulatives and zero pairs to understand integer subtraction. (6 minutes)

Strand: EXPRESSIONS AND EQUATIONS (7.EE)
Use properties of operations to generate equivalent expressions (Standards 7.EE.1–2).
This lesson begins with students viewing this UEN-produced video which demonstrates the term additive inverse. The accompanying activity has students play a die game and create an equation equal to 0 as well as a word problem using additive inverse. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Commutative and Associative Equations
This lesson focuses on how to rearrange and combine parts of algebraic expressions by using the commutative and associative properties of addition. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Linear Function Machine
By putting different values into the linear function machine students will explore simple linear functions.
• Repeating Decimal Rings
In this interactive activity you will explore the patterns that occur when expanding seventh and thirteenth fractions into decimals. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Solving Linear Equations with Negative Numbers
This video is designed for students to learn a strategy to solve a linear equation that has a negative number as a solution. The classroom activity builds on this knowledge by requiring them to use the strategy to solve a series of equations with both positive and negative coefficients and solutions. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Solving Linear Inequalities with Negative Numbers
Students will learn how to solve linear equations that have a negative number solution. They then solve a series of equations with both positive and negative coefficients and solutions in the classroom activity. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
Solve real-life and mathematical problems using numerical and algebraic expressions and equations (Standards 7.EE.3–4).
• Solving Equations video
Answers the questions "what are equations?" and "how do we solve them?"
• Solving Linear Equations with Negative Numbers
This video is designed for students to learn a strategy to solve a linear equation that has a negative number as a solution. The classroom activity builds on this knowledge by requiring them to use the strategy to solve a series of equations with both positive and negative coefficients and solutions. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Writing and Using Inequalities video
This video introduces and explains the topic.

Strand: GEOMETRY (7.G)
Draw, construct, and describe geometrical figures, and describe the relationships between them (Standards 7.G.1–3)
• AAS Triangle construction exploration
If you know two angles of a triangle and a side not between those two angles, will you create a unique triangle? This activity will help you to explore the answer to that question.
• ASA Exploration
If you know two angles of a triangle and a side between those two angles, will you create a unique triangle? This activity will help you to explore the answer to that question.
• Access Ramp - Student Task
This task has students design an access ramp, which complies with the Americans with Disabilities Act (ADA) requirements and include pricing based on local costs.
• Boxed In and Wrapped Up
This lesson asks students to find the volume and surface area of a rectangular box and then convert it into a cubical box with the same volume.
The Annenberg interactive in this lesson gives the students a chance to manipulate linkage strips to form quadrilaterals. In the activity students are given side lengths and then must build different types of quadrilaterals. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Constructing Triangles
In this interactive students manipulate line segments on a grid to see if they can make a triangle. Students then work with straw segments to discover which side length combinations are able to make a triangle. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
This task has students design a fence that meets the city ordinances and the client's specifications.
• Formulas for Circle Area and Circumference: Simple as Pie
A video from Cyberchase shows Bianca undertaking the selling of pies. She has to understand the relationship between the diameter and the circumference of pie pans. In the classroom activity you will learn how to calculate the circumference of wheels. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Formulas for a Circle
The 3 videos in this lesson teach students about the parts of a circle, how to label a circle, and define pi. Students must then test the theories presented in the videos in the classroom activity. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Framing a House - student task
This task has students recreate house plans on graph paper and then determine how many linear feet of wall plate material will be needed.
• Maximizing Area: Gold Rush
This lesson unit is intended to help educators assess how well students are able to interpret a situation and represent the variables mathematically, select appropriate mathematical methods to use, explore the effects on the area of a rectangle of systematically varying the dimensions whilst keeping the perimeter constant, as well as interpret and evaluate the data generated and identify the optimum case.
• Measuring Henry's cabin
In this lesson and activity students will determine the surface area and volume of a house and also reconstruct it on a smaller scale.
• Miniature Golf - student task
This task requires students to redesign a miniature golf course to make it more challenging.
• SAS Exploration
If you know two sides of a triangle and the angle between those two sides, will you create a unique triangle? This activity will help you to explore the answer to that question.
• SSA Exploration
If you know two sides of a triangle and an angle not between those two sides, will you create a unique triangle? This activity will help you to explore the answer to that question.
• Scale Models in the Real World
This video show scale models of railroads, dollhouses, and architecture to explain what the ratios represent. The hands-on classroom activity then has students create their own models. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Scaling
An interactive from Annenberg asks students to scale a picture by using the math strategies of multiplicative and additive relationships. Students then use those strategies to compare photocopies and rectangles in different scales. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Scaling Up Rectangles Using Simulations
This interactive allows students to create murals in different sizes by understanding two-dimensional scaling. The activity for the classroom has students use graph paper to draw and compare squares with different proportional dimensions and record the data as they change. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Scaling Up Rectangles in the Real World
By looking at murals in this video students see how artists use proportion and measurement to create them. The class then does an activity where they enlarge a drawing by using scale and then create a classroom mural. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
This task students to design a stairway for a custom home. They will need to gather information regarding design, safety, and the utility of staircases.
In this task, students need to figure out how to fit three different-sized photographs on a single sheet.
In this task, students must figure out how to cut out the material to make a cylindrical sports bag.
In this task students determine how many different triangles can be made that follow a set of rules.
• Triangle Explorer
The applet in this lesson allows students to draw triangles and calculate their area.
• Triangle construction exploration: Version 1
Triangle construction exploration: If you know three sides of a triangle, will you create a unique triangle? This activity will help you to explore the answer to that question.
• Triangle construction exploration: Version 2
Triangle construction exploration: If you know three sides of a triangle, will you create a unique triangle? This activity will help you to explore the answer to that question.
• Using Dimensions: Designing a Sports Bag
This lesson unit is intended to help educators assess how well students are able to recognize and use common 2D representations of 3D objects, as well as identify and use the appropriate formula for finding the circumference of a circle.
Draw informal comparative inferences about two populations (Standards 7.SP.3–4).
• Comparing Volumes of Cylinders, Spheres, and Cones
This interactive explains how to calculate the volumes of cylinders, cones and spheres. Students then apply this understanding to an activity where cylinders, cones and spheres are filled with water so that their volumes can be compared. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Cross Sections of a Cube
In this interactive cubes are sliced in different ways in order to explore cross sections. Students then create cubes out of play dough and slice them with dental floss to create cross-sections of specific shapes. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Holes
After watching a clip of the movie Holes from Walt Disney Pictures students will answer a series of questions, such as "If Stanley and X-Ray both dig one hole per day for a year, how much extra dirt will Stanley have dug than X-Ray?" and "How many times could that extra dirt fill one of the holes X-Ray digs?"
• Maximizing Area: Gold Rush
This lesson unit is intended to help educators assess how well students are able to interpret a situation and represent the variables mathematically, select appropriate mathematical methods to use, explore the effects on the area of a rectangle of systematically varying the dimensions whilst keeping the perimeter constant, as well as interpret and evaluate the data generated and identify the optimum case.
• Slicing Three Dimensional Figures
In this video students are shown how 2 dimensional figures are created by slicing 3 dimensional ones. Play dough is used in the classroom activity with students slicing figures and then describing the shape that results. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
In this task, students need to figure out how to fit three different-sized photographs on a single sheet.
In this task students determine how many different triangles can be made that follow a set of rules.
• Three-Dimensional Printing
Via this video students will obtain an understanding of how 3-D printing works and is used in manufacturing. These printers use the basic shape of the triangle to build complex polygon shapes. Students will then create two-dimensional drawings to represent 3-D figures. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Using Dimensions: Designing a Sports Bag
This lesson unit is intended to help educators assess how well students are able to recognize and use common 2D representations of 3D objects, as well as identify and use the appropriate formula for finding the circumference of a circle.
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume (Standards 7.G.4–6).
• 2D Nets and 3D Decorative Boxes
Calculating the surface area of cardboard boxes is the focus of this interactive activity. The classroom activity takes this knowledge and asks the students for figure out how many square inches of wrapping paper is needed to wrap a gift. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Angles
Students are introduced to all kinds of angles in this lesson plan, including acute, obtuse, right, vertical, adjacent, and corresponding among others.
• Applying Angle Theorems
This lesson unit is intended to help educators assess how well students are able to use geometric properties to solve problems.
• Area
This lesson is designed to help students be able to calculate the area of a random shape on a grid, explain the correlation between the size of the perimeter and the number of different possible areas that can be contained within that perimeter.
• Area Explorations
In this lesson, students will explore the area of irregular shapes to find multiple different methods for calculating area
• Boxed In and Wrapped Up
This lesson asks students to find the volume and surface area of a rectangular box and then convert it into a cubical box with the same volume.
• Chris McCloud's Lesson: Expert Analysis
This Teaching Channel video highlights and critiques the techniques used in a lesson on cylinders. (14 min.)
• Estimating: Counting Trees
This lesson unit is intended to help educators assess how well students are able to solve simple problems involving ratio and direct proportion, choose an appropriate sampling method, and collect discrete data and record them using a frequency table.
• Estimations and Approximations: The Money Munchers
This lesson unit is intended to help educators assess how well students are able to model a situation, make sensible, realistic assumptions and estimates, and use assumptions and estimates to create a chain of reasoning, in order to solve a practical problem.
This task has students design a fence that meets the city ordinances and the client's specifications.
• Finding Unknown Angles
In this Math Shorts video from the Utah Education Network students learn to find unknown supplementary, complementary, vertical and adjacent angles. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Formulas for Circle Area and Circumference: Simple as Pie
A video from Cyberchase shows Bianca undertaking the selling of pies. She has to understand the relationship between the diameter and the circumference of pie pans. In the classroom activity you will learn how to calculate the circumference of wheels. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Great Modeling Tasks in Three Acts - File Cabinet
This surface area activity has students answer the question: How many stickies cover the cabinet?
• Holes
After watching a clip of the movie Holes from Walt Disney Pictures students will answer a series of questions, such as "If Stanley and X-Ray both dig one hole per day for a year, how much extra dirt will Stanley have dug than X-Ray?" and "How many times could that extra dirt fill one of the holes X-Ray digs?"
• Maximizing Area: Gold Rush
This lesson unit is intended to help educators assess how well students are able to interpret a situation and represent the variables mathematically, select appropriate mathematical methods to use, explore the effects on the area of a rectangle of systematically varying the dimensions whilst keeping the perimeter constant, as well as interpret and evaluate the data generated and identify the optimum case.
• Measuring Henry's cabin
In this lesson and activity students will determine the surface area and volume of a house and also reconstruct it on a smaller scale.
• Miniature Golf - student task
This task requires students to redesign a miniature golf course to make it more challenging.
• Mr. McCloud: Discovering Surface Area of a Cylinder
This Teaching Channel video and lesson plan will help students discover and apply the formula for the surface area of a cylinder. (27 minutes)
• Solving Linear Inequalities with Negative Numbers
Students will learn how to solve linear equations that have a negative number solution. They then solve a series of equations with both positive and negative coefficients and solutions in the classroom activity. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
In this task, students have to decide how you would describe the design of a mosaic pattern over the telephone.
In this task, the student will look at a pattern of black and white circles and describe, mathematically, what is happening to the areas of black and white as the pattern develops.
In this task, students will figure out some problems about a strange old bicycle.
In this task, students will explore the geometry of a pattern made by arranging squares within an octagon.
• Surface Area of Prisms
In this lesson students will understand surface area and how solve for the surface area of triangular prisms.
• Surface Area of a Rectangular Prisms
This lesson will help students understand surface area and solve problems using the surface area of a rectangular prism.
• The Largest Container: Problems Using Volume and Shape
By using a single sheet of paper this interactive leads students to construct shapes, calculate volume, and think about the relationships between different shapes. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Volume of Prisms
This is a lesson designed to help students understand how to solve problems for the volume of triangular prisms.
• Volume of Rectangular Prisms
This lesson is designed to help students understand how to solve for the volume of rectangular prisms.

Strand: STATISTICS AND PROBABILITY (7.SP)
Use random sampling to draw inferences about a population (Standards 7.SP.1–2).
• Create a Graph
This applet allows students to create bar, line, area, pie, and XY graphs.
• Designing Experiments: Physicians' Health Study
How do scientists and doctors use data to deal with and control disease? This video from Annenberg's Learners Learning Math show how data was used to design an trial dealing with epidemiology. Students then apply their new understanding to take part in an experiment and design a trial of their own. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Estimating: Counting Trees
This lesson unit is intended to help educators assess how well students are able to solve simple problems involving ratio and direct proportion, choose an appropriate sampling method, and collect discrete data and record them using a frequency table.
• Estimation from Random Sampling
By taking random samples of the number of penguins in a sub-region in this interactive students understand how those samples can be used to estimate the total penguin population in the region. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Events and Outcomes (Counting) video
This video introduces and explains the topic.
• Gathering Data for a Line Plot
Two interactives are used in this lesson and both involve counting raisins in boxes and then plotting a graph. Students extend their understanding of mean, median, mode, and range after creating line plots in the classroom activity. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Making Random Samples
Students learn about population samples in this interactive by comparing various circles. They are then given a statistical population and have to decide what would make a random sample in the classroom activity. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Marbles
This activity helps the student understand randomness and probability by pulling marbles out of a bag.
• Random Sampling and Estimation: Lake Victoria
An Annenberg Learner's Learning Math video shows students a real-life application of random sampling by scientists studying fish in Lake Victoria. Students then apply their understanding by designing their own study using random sampling to make predictions and draw conclusions. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Random Sampling: How Many Fish?
Goldfish crackers stand in for real fish as this video demonstrates the use of random sampling by scientists to make predictions and inferences about wildlife populations. The classroom activity has students make calculations related to the capture-recapture process used by scientists. They also explore other research methods using random sampling.
• Recognize and Represent Proportional Relationships Between Quantities: Ratio, Proportion, Cross Mult
Four videos are included in this lesson explaining ratio, proportion and how to use the shortcut of cross multiply and divide. Students then play the game "Pom-Pom Nose Push" to collect data and determine the ratio of time to distance. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Responses to a Court Verdict: Analyzing Samples to Gain Understanding
The infographic basis of this activity pulls the Trayvon Martin case out of the headlines to examine the data collected from a poll about the case. The students need to analyze the responses to conclude whether the results fall along racial lines. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Scatter Plot
An understanding of how a scatter plot works is the focus of this interactive. Students interpret a scatter plot representing the relationship of height to arm length. They then create their own plot by measuring foot and forearm lengths. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Storage Shed - student task
Students are going to build storage sheds as a fund raising project, but before they can start they must determine the best dimensions for the shed, make scale drawings and decide on how much to charge for each shed.
In this task, students analyze a survey to decide how many candy bars students typically eat in a week.
• Variation About the Mean: The Boston Harbor Project
The use and statistical analysis of data in the efforts to improve the water quality in Boston Harbor is the subject of this video. Students then apply an understanding of mean absolute deviation to examine data. They also use data about bacteria found in a river in an analysis of what that data set tells. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
Draw informal comparative inferences about two populations (Standards 7.SP.3–4).
• Designing Experiments: Physicians' Health Study
How do scientists and doctors use data to deal with and control disease? This video from Annenberg's Learners Learning Math show how data was used to design an trial dealing with epidemiology. Students then apply their new understanding to take part in an experiment and design a trial of their own. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Estimation from Random Sampling
By taking random samples of the number of penguins in a sub-region in this interactive students understand how those samples can be used to estimate the total penguin population in the region. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Line Plot Representation of Deviation from the Mean
The concepts of means and deviations are the focus of this interactive from Annenberg. Students manipulate dots on a line graph to experiments with deviation. The classroom activity helps them understand positive and negative deviation. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
In this task, students will use graphs and box diagrams to compare temperatures in California and Washington
• The Hunger Games
By analyzing the lottery system used in the novel Hunger Games students will learn about probability. Students then create their own lottery system based on criteria from the novel in the accompanying classroom activity. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Variation About the Mean: The Boston Harbor Project
The use and statistical analysis of data in the efforts to improve the water quality in Boston Harbor is the subject of this video. Students then apply an understanding of mean absolute deviation to examine data. They also use data about bacteria found in a river in an analysis of what that data set tells. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
Investigate chance processes and develop, use, and evaluate probability models (Standards 7.SP.5–8).
• Beat the Odds
Students will develop and use models of probability in this online game interactive. The classroom activity has them explore the experimental side of probability and probability and randomness. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Compound Probability
This video shows students how to calculate the probability of drawing a particular card from a deck of cards. The students continue to work with cards in the classroom activity where they calculate the probability of drawing specific cards and explain their strategy for the calculation. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Conditional Probability and Probability of Simultaneous Events
This lesson plan is designed to help students understand and use the formula for probability of simultaneous independent events.
This lesson unit addresses common misconceptions relating to probability of simple and compound events. The lesson will help educators assess how well students understand concepts of equally likely events, randomness, and sample sizes.
• Experimental Probability
Using devices such as spinners and dice, students can conduct probability experiments in this lesson plan's applet.
• Fire: Modeling Probability
This lesson is designed to help students understand probability and chance and understand it in real life situations.
• Introduction to the Concept of Probability
The goals of this lesson are that students will understand the definition of probability, outcomes in probability, and know how to calculate experimental probability.
• Marbles
This activity helps the student understand randomness and probability by pulling marbles out of a bag.
• Probability
Students learn about probability in this lesson by predicting the outcome of experiments and playing racing games.
• Probability Space
In this video students learn the meaning of the phrase "probability space for random events." They learn about the origin of the idea in the 16th century and then apply their understanding via a dice game in the classroom activity. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Probability and Geometry (elementary)
This lesson asks students to practice calculating probability and understand how probability problems can be solved with the help of geometry.
• Probability of Dependent Events video
This is a video introduction and explanation of the topic.
• Probability of Dependent and Independent Events
This Teaching Channel video shows how students can identify and create examples of independent and dependent events. (Common Core Standards Math.7.SP.8a) (5 minutes)
• Probability of Independent Events video
This video introduces and explains the concept.
• Probability with Dice
Given 2 dice students learn how to find the probability of rolling a specific number in this video. They then use 2 dice in the classroom activities to apply their understanding of probability. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Probability: Playing with Fire
This lesson is designed to help students understand possible outcomes of a probability experiment.
• Probability: Tell the Future
A Flocabulary hip-hop song explains and demonstrates ways to express probability in this lesson. To expand their understanding students toss coins and record the results in the classroom activity. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Racing Game with One Die
Students can simulate a race between two cars with the roll of a die and learn about probability through this activity.
• Racing Game with Two Dice
By using the applet embedded in this lesson plan, students can simulate a race and learn about probability.
• Random Coin Toss
In this interactive from Annenberg students use a tree diagram to record the results of coin tosses to help them understand probability. The classroom activity extends this understanding to compare theoretical and experimental probability. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Replacement and Probability
This lesson will help students learn the difference between sampling with and without replacement.
• Spinner
By manipulating a spinner and its pointer students will learn about probability in this activity.
In this task, students will use probability to make predictions about a card game.
Ann is in charge of a "Lucky Dip" game to raise money for charities. In this task, students use the rules of probability to advise Ann on how to improve the game so that it raises more money.