In this lesson video you’ll learn multiple ways to divide a number by a fraction; plus you’ll get actual examples to make this concept real.
In this Classroom Connection lesson video you’ll learn how to compare unit fractions and figure out which ones are greater than or less than the other.
Number lines show the distance between numbers, and you can also use number lines to solve math problems, like the one in this lesson from Classroom Connection. This video helps students locate a fraction on a number line and use fractional reasoning to compare distances on the number line.
In this lesson, students complete two prewriting activities, one on brainstorming ideas using story maps, and one on creating the beginnings of stories. They then work on two collaborative-writing activities in which they draft an "oversized" story on chart paper. Before starting the activities, the teacher reads aloud the first few sentences from a variety of children's books that have unusual, exciting, or particularly descriptive openings. Each student works individually to read what has been written before, adds the "next sentence," and passes the developing story on to another student. The story is passed from student to student until the story is complete. In a later lesson Collaborative Stories 2: Revising, the story is revised by the groups.
In this activity from The Electric Company, students will practice matching graphs to summaries of data presented. Included are simple teacher-led activities for students.
In this video lesson, students recall one way of understanding equivalent expressions, that is, the expressions have the same value for any number substituted for a variable. Then they use properties they have learned to write an equivalent expression using fewer terms. Students informally practice combining like terms, though the language is not yet introduced.
In this video lesson, students have an opportunity to demonstrate fluency in combining like terms. They also look for and make use of structure (MP7) to apply the distributive property in more sophisticated ways.
In this video lesson, students are working toward gaining fluency in writing equivalent expressions. The goal of this lesson is to highlight a particularly common error: mishandling the subtraction in an expression like 8–3(4+9x). To this end, students first analyze and explain the error in several incorrect ways of rewriting this expression. Then, they consider the effect of inserting parentheses in different places in an expression with four terms.
Generate equivalent expressions using two additive properties. This video focuses on using the associative and commutative properties of addition to combine like terms, simplify expressions, and create equivalent expressions.
This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers and is part of the Math at the Core: Middle School collection.
Students compare and contrast information from three sources to determine the reasons that contributed to the panda population decline. They draw conclusions from these sources by writing their own paragraphs.
2020 Arkansas Teacher of the Year, Joel Lookadoo, shows students ways to better understand math. In this episode, Joel teaches students to compare equations by using number lines and tens sticks. He encourages students to visually represent the equations to have a better understanding of how the equations compare. Accompanying this video is a worksheet that provides students the opportunity to practice comparing equations.
Compare two-digit numbers using greater than, less than, and equal to with 2020 Arkansas Teacher of the Year, Joel Lookadoo. Take it a step further by finding the difference between two numbers. Students will use the provided support material to compare numbers and practice using a hundred chart to find the difference between two numbers.
Use powers of 10 to investigate scientific notation. This interactive exercise focuses on determining which of a series of numbers written in scientific notation is larger and by what magnitude then you need to use your critical thinking skills to determine methods for general cases.
This resource is part of the Math at the Core: Middle School collection.
In this video lesson, students investigate how quantities that grow quadratically compare to those that grow exponentially. They discover the reason that increasing exponential functions also eventually surpass increasing quadratic functions. By examining successive quotients for each type of function, students see that the outputs of quadratic functions are not multiplied by the same factor each time the input increases by one. In fact, these successive quotients get smaller as the inputs increase, while the outputs of the exponential function have the same multiplier. As they compare the two types of functions, they develop their understanding of quadratic expressions and how the shape of the graph differs between the two types of functions.
In this video lesson, students learn that completing the square can be used to solve any quadratic equation, including equations that involve rational numbers that are not integers. Students notice that the process of completing the square is the same when the equations involve messier numbers as when they have simple integers, but the calculations may be more time consuming and prone to error. An error-analysis activity highlights some common errors related to completing the square.
Completing the square for quadratic expressions that are more elaborate encourages students to look for and make use of the same structure that helped them when they were working with less complicated expressions (MP7).
In this video you’ll discover how using concentric circles can help you determine how much paint is needed to cover the deck of a carousel. Regents Review materials are designed to help high school students prepare for New York State's Regents exams.
Learn about the characteristics required for congruent or similar figures. This video focuses on the variety of ways you can use the side and angle measurements of two triangles to check for congruence and also briefly discusses how that differs from similar figures. This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers.
In this resource, students connect new information to personal experiences which helps learners comprehend and clarify their responses to literature. Learners can apply and accommodate vocabulary and meanings they already understand to new situations and concepts. Students make connections between a video about bees and their own personal experiences through a poem written for two voices.
Students share personal experiences they have had with bees. They then watch a video clip about handling bee hives and wearing a beard of bees. They respond to the video by connecting their response to personal experiences through a poem for two voices.
Good language and grammar practices are essential in writing for schoolwork or on the job. Proper language use will help to clearly communicate your ideas. In this lesson, students will focus on correct sentences, subject-verb agreement, and other aspects of grammar and language.
Using an everyday lunch menu, this video demonstrates how the counting principle is used to determine the number of possible lunch combinations on the menu. The counting principle is used to multiply the number of lunch items in each category to determine the number of possible combinations. Regents Review materials are designed to help high school students prepare for New York State's Regents exams.
In this lesson, students are asked to share certain numbers of objects among different numbers of people. They begin with unit fractions and move to divide multiple objects (a) among multiple people, (b) in which a < b, to produce fractions less than one. This CYBERCHASE activity is motivated by two video clips in which the CyberSquad has to share objects fairly in order to overcome obstacles and challenges assigned to them by Zeus as they try to recover Pandora's Box, which was stolen by their nemesis, Hacker.
Use this game from Curious George to teach children numbers, counting, and cardinality. George is counting down to launch some rockets. 5... 4... 3... 2... 1... Blast Off!
This resource provides looping videos that demonstrate the cursive writing strokes of each of the lowercase letters. The videos can be played during whole or small group instruction to demonstrate the correct cursive letter formation, while the teacher observes and provides feedback. These videos could also be used at a center rotation while students independently practice their cursive writing strokes.
Find thirteen ways to show one half by solving this brain teaser from Cyberchase.
Identify the patterns using addition, subtraction, and geometry to solve the puzzle and crack Hacker's code in this Cyberchase game.
Discover how rounding off numbers helps you estimate faster. Round the numbers and make an estimation about their totals in this interactive Cyberchase activity.
Buzz, Hacker, and Delete watch a commercial that features perfectly symmetrical shapes in this activity that accompanies the Cyberchase video clip, "A Gift for Mother's Day." Students will see that when a shape is symmetrical, both parts on opposite sides of a dividing line correspond in size and shape.
The Northern Frontier ducks are starting their migration to their winter home, Restoria, and the CyberSquad is going along for the ride! Just like real ducks, cyberducks migrate from one region to another to find a warm place to live with plenty of good food and water. The flock needs to avoid obstacles and manage their energy while migrating to Restoria. The player’s mission is to work with the ducks to help them get to Restoria safely and find the best ponds to stop at along the way.
Duck Dash is a “born-accessible” interactive game designed for kids ages 6-8, featuring beloved characters from the PBS KIDS math and environmental adventure series, Cyberchase. Players explore the math concepts of how to manage, organize, display, and evaluate data using graphs, and the science concepts of migration and ecology.
In this video segment adapted from Cyberchase, the CyberSquad observes the movement of Hacker’s robotic frog. The frog has been programmed to make a certain number of hops depending on the button that is pushed. The CyberSquad must figure out the relationship between the numbers on the buttons and the number of hops the frog makes.
In this video segment from Cyberchase, the CyberSquad observes the movement of Hacker’s robotic frog. The frog has been programmed to make a certain number of hops depending on the button that is pushed. The CyberSquad figured out the original input/output pattern but now the frog is larger, and there is a new pattern they must figure out in order to control the frog.
This video from Cyberchase focuses on the composition and decomposition of 3D shapes. In this segment, the kids and Digit make two-dimensional geometrical patterns rise up into three-dimensional shapes.
Use your spatial reasoning skills to calculate the surface area when given a 3D figure. This video focuses on a right rectangular prism and shows you how unit blocks can help you visualize, then calculate the surface area.
The purpose of this video lesson is to practice solving equations of the form p(x + q) = r, and to notice that one of the two ways of solving may be more efficient depending on the numbers in the equation.
This resource includes the Different Options for Solving One Equation lesson printout and a Practice Problems handout.
In this activity from The Electric Company, students will practice displaying data with bar graphs and picture graphs. Included are simple teacher-led activities and hands-on exercises for students.
In this video lesson, students explore ways to find vertical and horizontal distances in the coordinate plane. In the first activity, students use repeated reasoning to explore the relationship between points with opposite coordinates. In the second activity, students develop strategies for finding the distance between two points where the coordinates might not be integers. Students can use previous strategies, such as considering the distance of a point from zero or counting squares.
