This iOS app requires students to use a ten frame to fill in the remaining addend with contrasting chips and then count them to tell how many more to make ten. The app can be set to build sequentially or it can be set to give random values. Additionally, the app includes an option to show number sentences when the problem is complete.

This short article suggests ten math activities which parents can incorporate into their children's summer routines to prevent loss of learning over the summer months. These suggestions can be used year round to help students develop number sense and positive connections to mathematics.

This page provides examples of 1st Grade Measurement and Data activities aligned with the Common Core State Standards. A CCSS standard is stated and the possible activities are listed below and linked. All activities are suitable for use in Math Centers, small group, or whole class settings and are designed to elicit a range of responses and provide opportunities for students to communicate their reasoning and mathematical thinking. Instructions for each task are typed in large print and written in child-friendly language to enable students to work on activities independently after a brief introduction to the task. All files for 1st Grade Measurement and Data Activities listed are in PDF format.

In this open-ended investigation, students use visualizing skill and work systematically to explore surface area. Learners use linking cubes to build three-dimensional objects with exactly 28 faces exposed. Ideas for implementation, extension and support are included.

This activity helps students develop concepts and language regarding the size and positional relationship possibilities of three circles in the plane in a qualitative manner. They use terms such as overlapping, inside, and touching as they work systematically to find all possible arrangements. The Teachers' Notes page includes suggestions for implementation, discussion questions, and ideas for extension. This activity can be a follow-up to "2 Rings" cataloged separately.

This page hosts a collection of geometric tasks in pdf format that are aligned to the CCSS standards 4.G1 through 4.G3. It also has links to supplementary literature and learning materials.

This page hosts a collection of geometric tasks in pdf format that are aligned to the CCSS standards 5.G1 through 5.G4. It also has links to supplementary literature and learning materials.

This page provides examples of 5th Grade Measurement and Data activities aligned with the Common Core State Standards. A CCSS standard is stated and the possible activities are listed below and linked. All activities are suitable for use in Math Centers, small group or whole class settings and are designed to elicit a range of responses and provide opportunities for students to communicate their reasoning and mathematical thinking. Instructions for each task are typed in large print and written in child-friendly language to enable students to work on activities independently after a brief introduction to the task. All files for 5th Grade Measurement and Data Activities listed are in PDF format.

This 440-page report explores how students in pre-K through grade 8 learn mathematics, with a focus on number and operations, and recommends how teaching, curricula, and teacher education should change to improve mathematics learning. (A 39-page summary, Helping Children Learn Mathematics, is catalogued separately.) The authors identify five interdependent components of mathematical proficiency and describe how students develop this proficiency. The report presents a portrait of mathematics learning: research findings on what children know about numbers before they arrive in pre-K and the implications for instruction; details on the processes by which students acquire mathematical proficiency; what is known from research about teaching for mathematics proficiency and developing proficiency in teaching. Visitors to this website may read the full text online, download a copy (pdf), or purchase a hard copy.

This virtual manipulative allows a teacher or student to represent a linear equation and solve it through the use of a balance beam. Unit blocks (representing 1s) and x-boxes (representing the unknown), are placed on the pans of a balance beam. Once the beam balances to represent the given linear equation, the learner can choose to perform any arithmetic operation to both sides of the equation keeping the beam balanced. The goal, of course, is to get a single X-box on one side, with however many unit blocks needed for balance thus giving the value of x. There is also the option of creating your own equations to solve.

In this problem learners practice addition, subtraction and multiplication while developing logical reasoning. Solvers apply the given clues along with their understanding of the domino numbering system to determine which dominoes are missing from a set. The Teachers' Notes page includes suggestions for implementation, discussion questions, ideas for extension and support, printable sheets of dominoes (pdf), and a link to an interactive Dominoes Environment (cataloged separately).

This activity reinforces the concepts of area and perimeter and their independent relationship. Students analyze and compose shapes made from unit squares that satisfy area and perimeter specifications. Ideas for implementation, extension and support are included along with printable sheets and shape cards.

The Ball in a Wedge model displays a ball confined to move between two walls that form a wedge shape. The ball undergoes elastic collisions with the walls of the wedge. The angle of the wedge can be changed by setting the angle with the text box or dragging one of the wedge walls. By clicking in the Poincare section you can set the initial conditions of the motion of the ball. You can modify this simulation if you have Ejs installed by right-clicking within the plot and selecting “Open Ejs Model” from the pop-up menu item. Ejs Ball in a Wedge model was created using the Easy Java Simulations (Ejs) modeling tool. It is distributed as a ready-to-run (compiled) Java archive. Double clicking the ejs_mech_chaosWedge.jar file will run the program if Java is installed. Ejs is a part of the Open Source Physics Project and is designed to make it easier to access, modify, and generate computer models. Additional Ejs models for Newtonian mechanics are available. They can be found by searching ComPADRE for Open Source Physics, OSP, or Ejs.

This Java applet allows students to practice adding and subtracting whole numbers, decimals, or integers. Students use base blocks in blue to represent positive numbers, and red to represent either negative numbers or subtraction. The applet offers up to three decimal places, 2 to 4 columns, and bases from 2 through 5 and 10. Applet instructions and teaching ideas are available through the links at the top of the page.

The stated mission of this blog is "To make the nightly math problem as common as the bedtime story." Each day Laura Bilodeau Overdeck and her husband John post an interesting fact or scenario about everyday life and related math problems at three readiness levels. They include a page of suggestions for how to use these problems with children. This is a good source of problems for teachers and parents, as well as a model for adapting problems to meet different needs.

This problem provides an opportunity for students to develop problem solving skills while applying skip-counting and exploring the concepts of multiples and factors within 20. It is posed in the context of toppings on cookies ("biscuits" in the UK) and lends itself to multiple representations. The Teachers' Notes page offers suggestions for implementation, discussion questions, ideas for extension and support, and downloadable handouts.

In this problem students explore the concept of proportion by comparing the relative strengths of different mixes of juice flavor and water in a visual context. Given four mixtures represented by purple and white rectangles, students order the drinks from strongest to weakest flavor and explain their reasoning. The Teachers' Notes page offers suggestions for implementation, discussion questions, and ideas for extension and support.

This task provides an exploration of a quadratic equation by descriptive, numerical, graphical, and algebraic techniques. Based on its real-world applicability, teachers could use the task as a way to introduce and motivate algebraic techniques like completing the square, en route to a derivation of the quadratic formula.

This lesson plan requires students to interpret line plots with scales to the nearest quarter of a unit. During the lesson students review measurement, elements of a line plot, and analyzing data. An independent activity is included for assessment and students' examples are included for comparison.

Construct and measure the energy efficiency and solar heat gain of a cardboard model house. Use a light bulb heater to imitate a real furnace and a temperature sensor to monitor and regulate the internal temperature of the house. Use a bright bulb in a gooseneck lamp to model sunlight at different times of the year, and test the effectiveness of windows for passive solar heating.