Flipped Math
Trig Ratios
Take ratios of sides to a new level. Pupils learn the definitions of the three basic trigonometric ratios in right triangles. Using the definitions, scholars find missing lengths in right triangles, based on a known angle. Individuals...
Flipped Math
Unit 7 Review: Right Triangles
It is all right to spend some time with a review. After watching a short review video covering the materials from the unit, pupils work through 23 review problems. Scholars work on problems involving the Pythagorean Theorem and its...
Utah Education Network (UEN)
Expressions and Equations
Variables may be unknown, but expressions and equations are easy to understand. Pupils learn to write, evaluate, and simplify numeric and algebraic expressions. They also investigate how to write and solve simple equations and...
Utah Education Network (UEN)
Geometry
Shape one's understanding of geometry using the resource. The sixth of seven chapters in 6th Grade Math focuses on geometry principles. Future mathematicians learn to find the area of parallelograms, trapezoids, triangles, and other...
Utah Education Network (UEN)
Statistics
Find the value in analyzing data values. Statistics is the focus in the fifth of seven installments of the 6th Grade Math series. Individuals learn to examine dot plots, histograms, and box plots by considering the shape, mean, median,...
Utah Education Network (UEN)
Extending the Number System
Don't feel negative about negative numbers. Individuals extend their knowledge of positive numbers and fractions to rational numbers. They see how to represent negative rational numbers on a number line, learn about opposites and...
Utah Education Network (UEN)
Percent, Division with Fractions, and Measurement Conversion
The resource will be 100 percent beneficial. The third of seven installments in 6th Grade Math starts with lessons on percent and percent problems. Pupils also learn how to divide fractions and apply ratio reasoning to convert units,...
Utah Education Network (UEN)
Ratio Relations
At this rate, the class will be experts on ratios and rates in no time. A class workbook teaches individuals about ratio language, using tables and tape diagrams to find equivalent ratios, and solving ratio problems. They then discover...
EngageNY
Roots of Unity
Visualize the nth roots of unity. Pupils calculate the nth roots of unity and find all n roots. Learners plot the solutions in the complex plane and observe that they are the vertices of a regular n-gon inscribed in the unit circle....
EngageNY
Transforming Rational Functions
Move all rational functions—well, maybe. Learners investigate the graphs of the reciprocals of power functions to determine a pattern between the graph and the power. Pupils graph rational functions where transformations are clearly...
EngageNY
The Binomial Theorem
Sometimes, there is a better way. Scholars develop Pascal's triangle as a method to arrive at the coefficients of binomial expansions as an easier method to expand binomials. The learners connect the formula for binomial coefficients to...
EngageNY
Grade 5 Math Module 1, Topic F, Lesson 16
See, decimal operations do come in handy! Pupils solve word problems that require adding, subtracting, multiplying, and dividing decimals. They use tape diagrams to express relationships and to identify the necessary operations to solve...
EngageNY
Grade 5 Math Module 1, Topic E, Lesson 12
Continuing from the previous instructional activity, scholars work on mastering the skill of multiplying decimal fractions by a whole number. The method employed in the instructional activity is to convert the decimal fraction to its...
Mathematics Assessment Project
Generating Polynomials from Patterns
Patterns and polynomials go hand in hand. Budding mathematicians analyze sequences of dot diagrams to discover the patterns in the number of white dots and black dots. They use the identified patterns to write and simplify a polynomial...
New York City Department of Education
Chris’ Garden Dilemma
Make the connections between area, tiling, and multiplication. A performance task and associated unit presents the concept of area and makes the connection to multiplication. Pupils work through three major sections of instruction that...
Rice University
Precalculus
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
Rice University
Intermediate Algebra
Algebra concepts are all wrapped up in one nice bow. The resource combines all the concepts typically found in Algebra I and Algebra II courses in one eBook. The topics covered begin with solving linear equations and move to linear...
Rice University
Prealgebra
Pre-algebra—all wrapped up in one place. The eBook contains everything needed to teach a typical Pre-Algebra course. Concepts in the course build upon previously learned concepts, allowing mathematicians to see the connections between...
Kentucky Department of Education
Number Operations in Base Ten: Division and Interpreting Remainders
What do I do with what is left over? The formative assessment instructional activity lets individuals show what they understand about remainders in multi-digit division problems. Teams work together to match drawings with division...
Kentucky Department of Education
Patterns: Beads under a Blanket - Intermediate and Middle School Grades
Apply pattern knowledge to bead patterns. The formative assessment lesson provides pupils the opportunity to show what they know about patterns and functions. Learners take a pre-assessment, then build upon their answers at the beginning...
Concord Consortium
Smart Money
Watch the money grow daily. Scholars tackle a problem to determine how much money they will have if a dollar grows at 10 percent compounded daily after a month. Using that knowledge, learners notice the difference between varying savings...
Concord Consortium
Rule of 72
Find an easier way to double it. Using the price of an item and the Consumer Price Index, learners determine how long it will be for the price to double. Scholars calculate the length of time it would take for the price to double using a...
Concord Consortium
Rectangle Space
Take a coordinated look at rectangles. The task asks pupils to plot the length and width of created triangles in the coordinate plane. Using their plots, scholars respond to questions about rectangles and their associated points on the...
Concord Consortium
Rational and Not So Rational Functions
Do not cross the line while graphing. Provided with several coordinate axes along with asymptotes, pupils determine two functions that will fit the given restrictions. Scholars then determine other geometrical relationships of asymptotes...