Unit: Area and Surface Area Lesson 8: Area of Triangles This lesson …

Unit: Area and Surface Area Lesson 8: Area of Triangles

This lesson builds on students’ earlier work decomposing and rearranging regions to find area. It leads students to see that, in addition to using area-reasoning methods from previous lessons, they can use what they know to be true about parallelograms (i.e. that the area of a parallelogram is ) to reason about the area of triangles.

Students begin to see that the area of a triangle is half of the area of the parallelogram of the same height, or that it is the same as the area of a parallelogram that is half its height. They build this intuition in several ways:

by recalling that two copies of a triangle can be composed into a parallelogram; by recognizing that a triangle can be recomposed into a parallelogram that is half the triangle’s height; or by reasoning indirectly, using one or more rectangles with the same height as the triangle. They apply this insight to find the area of triangles both on and off the grid.

Unit: Area and Surface Area Lesson 10: Bases and Heights of Triangles …

Unit: Area and Surface Area Lesson 10: Bases and Heights of Triangles

This lesson furthers students’ ability to identify and work with a base and height in a triangle in two ways:

By learning to draw (not just to recognize) a segment to show the corresponding height for any given base, and

By learning to choose appropriate base-height pairs to enable area calculations.

Students have seen that the area of a triangle can be determined in multiple ways. Using the base and height measurements and the formula is a handy approach, but because there are three possible pairs of bases and heights, some care is needed in identifying the right combination of measurements. Some base-height pairs may be more practical or efficient to use than others, so it helps to be strategic in choosing a side to use as a base.

In this activity, kids will work on two fundamental early math skills …

In this activity, kids will work on two fundamental early math skills – sorting/classifying, and graphing. There will also be some great fine motor skill practice! Includes place-based discussion questions, activity instructions, extension activities, songs, and student graph worksheets.NGSS: K-LS1-1, 1-LS1-1, partially meets K-ESS3-1 (book and discussion)Common Core: MP.4Time: 45 minutesMatierals: bag of dried beans ("16 bean soup"), paper bowls, glue, chart paper, the book "One Bean" or similar book about growing food plants, especially beans.

Unit 8: Data Sets and Distributions Lesson 16: Box Plots In this …

Unit 8: Data Sets and Distributions Lesson 16: Box Plots

In this lesson, students use the five-number summary to construct a new type of data display: a box plot. Similar to their first encounter with the median, students are introduced to the structure of a box plot through a kinesthetic activity. Using the class data set that contains the numbers of letters in their names (from an earlier lesson), they first identify the numbers that make up the five-number summary. Then, they use their numbers to position themselves on a number line on the ground, and are guided through how a box plot would be constructed with them as the data points.

Later, students draw and make sense of the structure of a box plot on paper (MP7). They notice that, unlike the dot plot, it is not possible to know all the data points from a box plot. They understand that the box plot summarizes a data set by showing the range of the data, where the middle half of the data set is located, and how the values are divided into quarters by the quartiles.

This learning video is designed to develop critical thinking in students by …

This learning video is designed to develop critical thinking in students by encouraging them to work from basic principles to solve a puzzling mathematics problem that contains uncertainty. Materials for in-class activities include: a yard stick, a meter stick or a straight branch of a tree; a saw or equivalent to cut the stick; and a blackboard or equivalent. In this video lesson, during in-class sessions between video segments, students will learn among other things: 1) how to generate random numbers; 2) how to deal with probability; and 3) how to construct and draw portions of the X-Y plane that satisfy linear inequalities.

Student pairs are given 10 minutes to create the biggest box possible …

Student pairs are given 10 minutes to create the biggest box possible using one piece of construction paper. Teams use only scissors and tape to each construct a box and determine how much puffed rice it can hold. Then, to meet the challenge, they improve their designs to create bigger boxes. They plot the class data, comparing measured to calculated volumes for each box, seeing the mathematical relationship. They discuss how the concepts of volume and design iteration are important for engineers. Making 3-D shapes also supports the development of spatial visualization skills. This activity and its associated lesson and activity all employ volume and geometry to cultivate seeing patterns and understanding scale models, practices used in engineering design to analyze the effectiveness of proposed design solutions.

This short video and interactive assessment activity is designed to teach third …

This short video and interactive assessment activity is designed to teach third graders about calculating and comparing capacities with illustrations (metric units).

This short video and interactive assessment activity is designed to teach second …

This short video and interactive assessment activity is designed to teach second graders about capacity comparison problems with illustrations - word problems.

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