Students who work on this task will benefit in seeing that given a quantity, there is often more than one way to represent it, which is a precursor to understanding the concept of equivalent expressions. 

This is an instructional task related to deepening place-value concepts. The important piece of knowledge upon which students need to draw is that 10 tens is 1 hundred.

Students practice crossing from one family to the next in counting forward with this concentration game.

Okta challenges you to a duel! That crazy octopus wants to play you in a game where the first person to choose cards with a specified sum wins. You can choose how many cards, what types of numbers, and Okta's level of strategy.

This lesson unit is intended to help you assess whether students recognize relationships of direct proportion and how well they solve problems that involve proportional reasoning. In particular, it is intended to help you identify those students who: use inappropriate additive strategies in scaling problems, which have a multiplicative structure; rely on piecemeal and inefficient strategies such as doubling, halving, and decomposition, and have not developed a single multiplier strategy for solving proportionality problems; and see multiplication as making numbers bigger, and division as making numbers smaller.

This task helps students understand the relationship between digit placement and the value of a number.

This task requires students to think of dimes and pennies as fractions of dollars.

This task requires students to recognize both "number of groups unknown" and "group size unknown" division problems in the context of a whole number divided by a unit fraction.

Students gain an understanding of the factors that affect wind turbine operation. Following the steps of the engineering design process, engineering teams use simple materials (cardboard and wooden dowels) to build and test their own turbine blade prototypes with the objective of maximizing electrical power output for a hypothetical situation—helping scientists power their electrical devices while doing research on a remote island. Teams explore how blade size, shape, weight and rotation interact to achieve maximal performance, and relate the power generated to energy consumed on a scale that is relevant to them in daily life. A PowerPoint® presentation, worksheet and post-activity test are provided.

How many dots will be on the screen after the last bell? Through the use of videos and a couple of helpful clues, students are challenged to use counting, patterns, and algebraic thinking to determine how many dots (and even what colors!) will be on the screen (covered in the first Act) after the last bell.

This problem involves fraction multiplication that can be solved with pictures or number lines.

One goal of this task is to help students develop comfort and ease with adding fractions with unlike denominators. Another goal is to help them develop fraction number sense by having students decompose fractions. Because the Egyptians represented fractions differently than we do, it can also help students understand that there can be many ways of representing the same number.

Through the use of folding paper strips into equal size pieces students can apply their understanding that the numerator represents the parts of the whole (i.e., how many of the parts are being considered).Begin with unit fraction which are fractions with a numerator of 1. Students will understand the following concepts, symbols, and vocabulary: numerator, fraction, equal parts.

I used this resource as a part of my math intervention of seventh graders to show conceptually that a fraction must be of equal size parts. This activity does a nice job of explaining the showing the process. This was a bit long for my math intervention, but I completed a modified version over several sessions.

Students will be using real-life energy use data to learn how to use spreadsheets and create graphs to better organize and view data. Discussions can then follow to analyze the data and explain the usage. Real rates are then provided, and students can use the electricity consumed data to create a utility bill for the consumer and compare the standard Residential Service charges to if the member were instead billed by the “Time of Use” rate.

This task helps students understand the meaning of the equal sign and to use it appropriately.

The purpose of this task is for students to show they understand the connection between fraction and decimal notation by writing the same numbers both ways.

The purpose of this task is to provide students with an opportunity to explain fraction equivalence through visual models in a particular example.