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Inside Mathematics
Graphs (2006)
When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a worksheet that engages scholars to properly label line graphs. It then requests two applied reasoning answers.
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 lesson of the 25-part module that challenges learners to use properties to solve multi-step quadratic and cubic equations. Individuals round out...
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...
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 instructional activity 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...
Scholastic
Study Jams! Using a Calendar
"I have a calendar, but I'm not sure how to use it." If you've heard this before, then why not set up a learning station with a step-by-step tutorial on how to solve a math problem using a calendar? A problem is presented and each of the...
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....
Centre for Education in Mathematics and Computing
Number Sense and Numeration: Exponents
On a three-page assignment, number crunchers will examine the laws of exponents and apply them to a variety of problems. They write expressions in exponential form or as repeated multiplication. They evaluate and simplify exponential...
Scholastic
Study Jams! Estimate Sums & Differences of Whole Numbers
Estimating is an essential skill used in everyday life. This presentation explains how to apply prior knowledge about rounding numbers to estimating sums and differences. Example problems and assessment include large numbers, making this...
Scholastic
Study Jams! Area of a Triangle
Even though there is a wide variety of different triangles in the world, knowing a single equation allows us to find the area of each and every one of them. Follow along with this step-by-step presentation as Zoe clearly models how to...
Scholastic
Study Jams! Add & Subtract with Common Denominators
RJ and Zoey are at camp and need to get back to the mess hall for lunch, but they don't know how far they have to walk. Help them figure out the distance while teaching young mathematicians how to add and subtract fractions with this...
Scholastic
Study Jams! Edges, Faces, Vertices
Before determining the classification of a three-dimensional shape, you need to know about the characteristics of a vertex, edge, and face. Go step-by-step using a prism, and discover what each aspect refers to and how it applies to...
Curated OER
Applied Science - Science and Math (K) Lab
In this shape instructional activity, 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 instructional activity.
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.
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