Standards for Mathematical Practice

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Resource | Resource Type Grade Level | Rating |
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This interactive Flash lesson helps students to distinguish triangles from other shapes in a real world environment. The animated pages give printed instructions in English. A teacher guide is available [see #7 at MathActive Lessons for Grades K-2 (cataloged separately)]. | Activity, Interactive Media Grade Level: K, 1 | |

This problem introduces children to algebra by looking for a pattern and generalizing with a rule. Students explore in how many different ways can a stick of 6, 7 or 8 different colored interlocking cubes be broken into two parts. The Teachers' Notes page offers rationale, suggestions for implementation, discussion questions, and an idea for support and extension. | Activity Grade Level: 3, 4, 5 | |

In this lesson plan students watch a video clip of Bianca as she uses Venn diagrams to try to satisfy three people's preferences in pizza toppings. Students practice using Venn diagrams to represent the pizza topping preferences. Learners are then introduced to prime numbers, prime factorization, and the use of Venn diagrams to determine least common multiple and greatest common factor. Support materials are included: Handout: Gleamers and Glow Power, Assessment: Levels A and B and answer keys are provided. | Lesson Plans, Video Grade Level: 3, 4, 5, 6+ | |

This interactive flash applet provides an opportunity for students to investigate relationships between numbers and to think algebraically. The learner chooses a building design from one of the six possible designs. Each design shows the number of blocks on the top floor and the number of blocks on each of the floors below. The student must determine the number of blocks needed to build the number of floors given. The help button asks the student to think of a "formula" for the design and with continued clicks, hints to find the formula are provided. | Activity, Interactive Media Grade Level: 4, 5, 6+ | |

This sequence of eight lessons from Illuminations provides an opportunity for students to represent patterns in different ways. Students solve problems; make, explain, and defend conjectures; make generalizations; and extend and clarify their knowledge. In Lesson 1 and 2 students recognize, sort, and identify rules for sorting. In Lesson 3 learners identify the core element or unit that is repeated. In Lesson 4 students create patterns and represent them using different forms: pattern blocks, actions, objects, pictures, letters and numbers. In Lesson 5 and 7 students use an Internet-based calculator that is linked with an interactive Hundreds Chart to create, extend, and record numerical patterns in different ways. In Lesson 6 students create patterns with movement and song. The last lesson, Lesson 8 is designed as a summative assessment of students understanding of patterns. | Activity, Lesson Plans, Unit of Instruction Grade Level: K, 1, 2 | |

This sample constructed response problem for grade 3-5 students provides an opportunity to analyze patterns and develop algebraic thinking in the context of a telephone chain. It includes suggestions for adjusting the challenge level and a task-specific rubric with annotated samples of student work at each level. Free registration allows users to download a 9-page print-friendly version (pdf). | Assessment, Activity Grade Level: 3, 4, 5 Resource is part of a PD collection | |

This formative assessment lesson is intended to help teachers assess how well students are able to use addition and subtraction in a problem solving situation. In particular, this lesson aims to identify and help students who have difficulties with: choosing an appropriate, systematic way to collect and organize data, examining the data and looking for patterns and lastly describing and explaining findings clearly and effectively. | Activity, Lesson Plans Grade Level: K, 1, 2, 3 | |

This Java applet activity allows students to explore the various situations described in "The Chairs Around the Table" lesson (cataloged separately). The user can select Exploration mode, in which the number of chairs needed for a particular arrangement of tables is displayed; or Guess, in which the user is able to construct an arrangement and then predict the number of chairs. There are two types of tables to choose from and two different table arrangements. Instructions and exploration question are provide. | Activity, Interactive Media Grade Level: 3, 4, 5, 6+ | |

In this lesson from Illuminations, students explore and discover linear relationships. Linear patterns are identified, extended and described verbally, numerically and algebraically through three investigations. Using manipulatives and the linked applet, "Chairs", learners determine the number of chairs needed when the number of tables is known, and vice versa. Instructional plan, questions for the students, assessment options, extensions and teacher reflections are provided. | Activity, Interactive Media Grade Level: 3, 4, 5 Resource is part of a PD collection | |

This 6-minute video presents Michelle Bottomley, a teacher at Tetherdown Primary School, north London, sharing a lesson idea that has her students use their knowledge of the properties of number in order to solve problems. Michelle engages her pupils to work systematically to look for patterns when working out how many squares are in different sized chessboards, and then to predict how many squares are in a 25 x 25 squared board. | Lesson Plans Grade Level: 4, 5, 6+ |