EngageNY
Informal Proof of AA Criterion for Similarity
What does it take to show two triangles are similar? The 11th segment in a series of 16 introduces the AA Criterion for Similarity. A discussion provides an informal proof of the theorem. Exercises and problems require scholars to apply...
EngageNY
Proofs of Laws of Exponents
Apply pupil understanding of exponent properties to prove the relationships. In the sixth lesson of the series, individuals are expected to prove relationships using mathematical statements and reasoning.
EngageNY
Estimating Quantities
Apply the concept of magnitude to estimate values and compare numbers. The ninth lesson of the 15-part series asks learners to write numbers to their next greatest power of 10 and then make comparisons. Scholars begin to understand the...
EngageNY
Definition of Translation and Three Basic Properties
Uncover the properties of translations through this exploratory lesson. Learners apply vectors to describe and verify transformations in the second installment of a series of 18. It provides multiple opportunities to practice this...
EngageNY
Solving Equations with Radicals
Show learners how to develop a procedure for solving equations using radicals with the fifth instructional activity of the 25-part module that challenges learners to use properties to solve multi-step quadratic and cubic equations....
EngageNY
Dividing Fractions and Mixed Numbers
Class members discover how to extend division to fractions to mixed numbers. Individuals first review how to convert mixed numbers to improper fractions and then apply division strategies learned in previous lessons. A memory game tests...
EngageNY
The Euclidean Algorithm as an Application of the Long Division Algorithm
Individuals learn to apply the Euclidean algorithm to find the greatest common factor of two numbers. Additionally, the lesson connects greatest common factor to the largest square that can be drawn in a rectangle.
EngageNY
Absolute Value—Magnitude and Distance
Do you want to use the resource? Absolutely. Scholars learn about absolute value and its relation to magnitude and distance on a number line. They compare numbers in context by applying absolute value.
EngageNY
The Order of Operations
Future mathematicians learn how to evaluate numerical expressions by applying the order of operations. They evaluate similar-looking expressions to see how the location of parentheses and exponents affects the value.
EngageNY
Understanding Box Plots
Scholars apply the concepts of box plots and dot plots to summarize and describe data distributions. They use the data displays to compare sets of data and determine numerical summaries.
EngageNY
From Equations to Inequalities
Sometimes, equality just doesn't happen. Scholars apply their knowledge of solving equations to identify values that satisfy inequalities in the 34th installment of a 36-part module. They test given sets of numbers to find those that are...
EngageNY
Multi-Step Problems—All Operations
Harness the power of algebra to solve problems. Young mathematicians learn to work out multi-step problems by applying algebraic techniques, such as solving equations and proportions. They use tape diagrams to model the problem to finish...
EngageNY
How Far Away Is the Moon?
Does the space shuttle have an odometer? Maybe, but all that is needed to determine the distance to the moon is a little geometry! The lesson asks scholars to sketch the relationship of the Earth and moon using shadows of an eclipse....
EngageNY
Solving Problems Using Sine and Cosine
Concepts are only valuable if they are applicable. An informative resource uses concepts developed in lessons 26 and 27 in a 36-part series. Scholars write equations and solve for missing side lengths for given right triangles. When...
Curated OER
Applied Science - Science and Math (K) Lab
In this shape lesson, learners cut out tangram shapes and create different pictures with them. They look at 3-D shapes as well. There is a nice, hands-on component built into this lesson.
Curated OER
Applied Science: Exploring Shapes in Nature
Explore geometry with your young mathematicians! First, have them color in different two-dimensional and three-dimensional shapes. Then take them on a walk around the classroom. Can they identify different shapes using the target...
Curated OER
Applying the Pythagorean Theorem to find Distances Between Cities
Students solve problems using the Pythagorean Theorem. In this geometry lesson, students identify the Pythagorean Triple and use it to solve real life problems.
Consumers Energy
The Cost of Electricity
How much is your toaster costing you every day? Young environmentalists calculate the monetary costs of household appliances based on their average consumption of wattage.
Teach Engineering
Bone Density Math and Logarithm Introduction
What do logarithms have to do with bone density? Scholars learn that the equation for bone density includes logarithms. The majority of the third lesson of seven is devoted to logarithms and their properties.
EngageNY
The Definition of Sine, Cosine, and Tangent
Introduce your classes to a new world of mathematics. Pupils learn to call trigonometric ratios by their given names: sine, cosine, and tangent. They find ratios and use known ratios to discover missing sides of similar triangles.
Virginia Department of Education
Area and Perimeter
Develop a strategy for finding the area and perimeter of irregular figures. Building on an understanding of finding area and perimeter of rectangles and triangles, learners apply the same concepts to composite figures. After practicing...
Reardon Problem Solving Gifts
Teaching Problem Solving Strategies in the 5-12 Curriculum
Address any kind of math concept or problem with a series of problem-solving strategies. Over 12 days of different activities and increasing skills, learners practice different ways to solve problems, check their answers, and reflect...
Texas Instraments
Getting Started Dilemma
Get out those thinking caps and apply graphing functions to a real-world problem. Use the TI-83 graphing calculator to evaluate algebraic expressions that are imbedded in a series of real-world scenarios. A great activity!
Government of Hong Kong
Areas and Volumes - 2D Shapes
Unfortunately for young mathematicians, the world isn't made entirely of parallelograms, triangles, and trapezoids. After first learning the area formulas for these common shapes, students apply this new knowledge to determine the area...
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