Resource Type: Instructional Resource -- Best Practice Discipline: Mathematics Ohio Standards Alignment: Grades 6–7 Professional Commentary: Students build rectangles with pipe cleaners. Since the pipe cleaners are all the same length, the rectangles will all have the same perimeter.... Resource Type: Instructional Resource -- Promising Practice Discipline: Mathematics Ohio Standards Alignment: Grades 6–12 Professional Commentary: An Armstrong number is an n-digit number that is equal to the sum of the nth powers of its digits. In this lesson, students will explore Armstrong numbers, identify all Armstrong numbers less than 1000, and investigate the recursive sequences that arise in some cases.... 3 Counting Embedded Figures Resource Type: Instructional Resource -- Promising Practice Discipline: Mathematics Ohio Standards Alignment: Grades 5–8 Professional Commentary: The problem of counting the number of squares on a checkerboard is a classic investigation. This lesson begins with the embedded-square problem and offers several extensions.... 4 Distributing and Factoring Using Area Resource Type: Instructional Resource -- Promising Practice Discipline: Mathematics Ohio Standards Alignment: Grades 6–8 Professional Commentary: In this lesson, expressions representing areas of adjoining rectangles are used to illustrate the distributive property. Conversely, the area of a rectangle can provide a visual tool for students to factor out common monomial factors from algebraic expressions.... 5 More Complicated Functions: Introduction to Linear Functions Resource Type: Instructional Resource -- Promising Practice Discipline: Mathematics Ohio Standards Alignment: Grades 6–9 Professional Commentary: This lesson helps students who are not already familiar with the slope-intercept form of a linear function, y = mx + b, to analyze how the values of m and b correspond to changes in y as x systematically increases. This analysis helps students identify linear function rules involving two operations.... Career Fields: Agricultural & Environmental Systems, Business & Administrative Services, Engineering & Science Technologies, Finance, General Career Skills Projects: Standards First 6 Building with Triangles: What's Important About Triangles? Resource Type: Instructional Resource -- Best Practice Discipline: Mathematics Ohio Standards Alignment: Grades 5–8 Professional Commentary: In this third of four lessons related to triangles, students use strips of paper divided into three segments of various lengths to see which strips can form triangles. The goal is for students to discover the triangle inequality, namely, that the sum of the lengths of any two sides must exceed the length of the other side.... Resource Type: Instructional Resource -- Promising Practice Discipline: Mathematics Ohio Standards Alignment: Grades 5–8 Professional Commentary: In this lesson, students explore the Fibonacci series. They identify the pattern among the Fibonacci numbers, look for applications of these numbers, and explore the ways that this pattern can be related to objects and shapes in both the natural and designed world.... 8 Paper Pool: Analyzing Numeric and Geometric Patterns Resource Type: Instructional Resource -- Best Practice Discipline: Mathematics Ohio Standards Alignment: Grades 6–8 Professional Commentary: Paper Pool is played with an imaginary ball being hit from the lower left-hand corner of a rectangular grid (pool table) at a 45° angle. A ball hit at this angle will bounce off the side rails of the table at a 45° angle and will traverse the diagonals of the squares in the grid.... Resource Type: Instructional Resource -- Best Practice Discipline: Mathematics Ohio Standards Alignment: Grades 5–8 Professional Commentary: This two-lesson unit allows students to investigate the triangular numbers in an interesting, real-world context, the Supreme Court. Beginning with the classic handshake problem, students generate geometric and algebraic representations for the patterns they encounter and conclude with a formula for the nth triangular number.... Resource Type: Instructional Resource -- Promising Practice Discipline: Mathematics Ohio Standards Alignment: Grades 6–12 Professional Commentary: This 3-lesson learning unit is designed to make connections between properties of linear functions and cryptology. Students will code and decode using basic shift ciphering, arrow diagrams, tables, the coordinate plane, and graphs.... |