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Magnitude
Build an understanding of the powers of 10. Pupils investigate the results of raising 10 to positive and negative powers. They relate this understanding to the magnitude these powers represent in this seventh lesson of 15.
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Rotations of 180 Degrees
What happens when rotating an image 180 degrees? The sixth lesson in the series of 18 takes a look at this question. Learners discover the pattern associated with 180-degree rotations. They then use transparency paper to perform the...
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Definition of Congruence and Some Basic Properties
Build a definition of congruence from an understanding of rigid transformations. The lesson asks pupils to explain congruence through a series of transformations. Properties of congruence emerge as they make comparisons to these...
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Angles Associated with Parallel Lines
Explore angle relationships created by parallel lines and transversals. The 13th lesson of 18 prompts scholars use transparency paper to discover angle relationships related to transversals. Learners find out that these angles pairs are...
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Finite and Infinite Decimals
Explore the patterns of fractions that produce finite and infinite decimals. The sixth lesson of the series asks learners to determine a similar feature of fractions that produce finite decimals. Using the patterns, pupils create...
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Solving Equations Using Algebra 2
If you use a fabulous lesson plan, then your pupils can become fabulous at solving equations. The 24th installment of 25 incorporates the use of if-then statements to illustrate the properties of equality used in solving two-step linear...
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Cones and Spheres
Explore methods for finding the volume of different three-dimensional figures. The 20th lesson in the 25-part series asks learners to interpret diagrams of 3-D figures and use formulas to determine volume. Scholars must use the...
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Generating Equivalent Expressions II
Discover how to apply the commutative and associative properties to generate equivalent expressions. The second instructional activity in the 28-part module asks pupils to rearrange an expression by grouping like terms. From there, they...
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Writing Products as Sums and Sums as Products II
Explain algebraic relationships through an understanding of area and perimeter. Continuing concepts built in the third instructional activity of the series, the fourth installment of 28 asks learners to identify common expressions...
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Using If-Then Moves in Solving Equations II
Continuing from the previous lesson in the 28-part series, learners write equations to model problem situations. They then solve the problem by applying the properties of equality. In contrast to the previous lesson, they do not write...
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Identical Triangles
Explore vocabulary and notation related to triangles and congruence. The fifth lesson in the 29-part series helps pupils build their knowledge of triangle relationships. Individuals identify corresponding parts of identical triangles and...
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Conditions for a Unique Triangle—Two Angles and a Given Side
Using patty paper, classes determine that only one triangle is possible when given two specific angle measures and a side length. As the 10th instructional activity in the series of 29, young math scholars add these criteria to those...
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Conditions on Measurements That Determine a Triangle
Can any three side lengths create a triangle? Your classes tackle this question and more in the 11th lesson of the 29-part module. Through modeling with patty paper, individuals discover the relationship between the lengths of the sides...
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Unique Triangles—Two Sides and a Non-Included Angle
Construct an understanding of triangle congruence through a visual analysis. Young scholars find that given two sides and a non-included angle, sometimes two possible triangles are produced. Their analysis shows that if the non-included...
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Checking for Identical Triangles II
Given a diagram of connected or overlapping triangles, individuals must find congruent parts using various properties. Pictures include reflexive sides and vertical angles amongst the marked congruent parts.
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Slicing a Right Rectangular Pyramid with a Plane
How many ways can you slice a pyramid? The 18th lesson of the 29-part series examines the multiple planes of a rectangular pyramid. Pupils study each slice to determine its shape and relation to the different faces.
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Surface Area
Explore finding the surface area of composite figures. Building on the previous lessons in the 29-part series, the 24th installment examines the surface area of three-dimensional solids. The focus is on decomposing composite figures and...
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Surface Area II
Examine the surface area of composite figures using an exploratory approach. As a continuation of the previous lesson plan of the 29-part series, young scholars develop plans for finding the surface area of composite figures. Examples...
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The Division Algorithm—Converting Decimal Division into Whole Number Division Using Fractions
Knowing the standard algorithm opens up a whole new world of division. Scholars learn how to convert division involving decimals to division involving whole numbers to use the standard algorithm. Knowing how to multiply with powers of...
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From Rates to Ratios
Look at rates from a general perspective. The 17th part of a 29-part series provides problems that help pupils develop more general ratios from given rates. Scholars determine unit rates and ratios that are associated with given rates....
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The Division Algorithm—Converting Decimal Division into Whole Number Division Using Mental Math
Make math much simpler with mental math methods. The 16th installment in a series of 21 looks at ways scholars can apply mental math to convert division problems into easier problems with the same quotient. Multiplying or dividing both...
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Least Common Multiple and Greatest Common Factor
Find the common denominator between prime factors, factor trees, and the distributive property. Scholars learn to find the least common multiple and greatest common factor of pairs of numbers. They rotate through stations to connect...
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The Relationship Between Absolute Value and Order
Order up a resource on absolute value and order. The 12th installment of a 21-part module investigates the relationship between absolute value and the order of numbers on a number line. Scholars determine how the actual values and the...
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Real-World Positive and Negative Numbers and Zero
Class members investigate how positive and negative numbers are useful in the real world. Individuals first read a short passage and identify terms indicating positive and negative numbers. They consider situations involving positive...
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