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Graph Square Root and Cube Root Functions
(C) Determine the effect on the graph of f(x) = √x when f(x) is replaced by af(x), f(x) + d, f(bx), and f(x - c) for specific positive and negative values of a, b, c, and d
A2.6.A(A) Analyze the effect on the graphs of f(x) = x3 and f(x) = 3√x when f(x) is replaced by af(x), f(bx), f(x - c), and f(x) + d for specific positive and negative real values of a, b, c, and d
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Use Angle Relationships of Circles
This circles lesson teaches students how to identify inscribed and circumscribed angles of a circle and to use the appropriate formula to determine the measure of the angle from the intercepted arcs. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students will identify given and unknown information and apply the correct formula to find the unknown angle.
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Use Properties of Parallel Lines Cut by a Transversal
This congruence lesson teaches students how to use the properties of parallel lines cut by a transversal. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students will identify angle pairs as alternate/corresponding/interior/exterior angles and determine congruence.
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Solve Problems Using The Triangle Inequality Theorem
This math lesson teaches students how to use the Triangle Inequality theorem to determine the possible range of values for an unknown side of a triangle. The lesson includes research-based strategies and strategic questions that prepare students for standardized assessments. In this lesson, students will calculate the sum and difference of the two known sides of the triangle and recognize that the unknown side must have a value between the two. In addition to the lesson, there are two pages of independent practice and nine pages of periodic review with questions modeled after standardized assessments.
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Prove That Two Triangles are Similar
This math lesson teaches students how to use the Angle-Angle or the Equal Side Ratio theorem to prove that two triangles are similar. The lesson includes research-based strategies and strategic questions that prepare students for standardized assessments. In this lesson, students will identify known information and determine which theorem applies, then use the theorem to prove the triangles similarity. In addition to the lesson, there are two pages of independent practice and three pages of periodic review with questions modeled after standardized assessments.
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Identify Geometric Definitions, Postulates, and Theorems
This math lesson teaches students definitions of common geometry vocabulary terms. The lesson includes research-based strategies and strategic questions that prepare students for standardized assessments. In this lesson, students will define and identify terms, postulates, and theorems from geometry. In addition to the lesson, there are two pages of independent practice and three pages of periodic review with questions modeled after standardized assessments. This math lesson teaches students definitions of common geometry vocabulary terms. The lesson includes research-based strategies and strategic questions that prepare students for standardized assessments. In this lesson, students will define and identify terms, postulates, and theorems from geometry. In addition to the lesson, there are two pages of independent practice and three pages of periodic review with questions modeled after standardized assessments.
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Determine if Triangles are Congruent
This math lesson teaches students how to use the SAS, SSS, ASA and AAS postulates/theorem to determine whether two triangles are congruent. The lesson includes research-based strategies and strategic questions that prepare students for standardized assessments. In this lesson, students will identify given information and determine which postulate or theorems apply, and then use it to determine whether a second triangle is congruent. In addition to the lesson, there are two pages of independent practice and three pages of periodic review with questions modeled after standardized assessments.
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Compute the Surface Area of Prisms
This math lesson teaches students how to calculate the surface area of a prism. The lesson includes research-based strategies and strategic questions that prepare students for standardized assessments. In this lesson, students will identify the bases and sides of a prism, calculate their separate areas and sum the separate areas to find the surface area. In addition to the lesson, there are two pages of independent practice and three pages of periodic review with questions modeled after standardized assessments.
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Compute the Volumes and Surface Areas of Prisms, Pyramids, Cylinders, Cones, and Spheres
(A) Describe the volume formula V = Bh of a cylinder in terms of its base area and its height
8.6.B(B) Model the relationship between the volume of a cylinder and a cone having both congruent bases and heights and connect that relationship to the formulas
8.7.A(A) Solve problems involving the volume of cylinders, cones, and spheres
8.7.B(B) Use previous knowledge of surface area to make connections to the formulas for lateral and total surface area and determine solutions for problems involving rectangular prisms, triangular prisms, and cylinders
This math lesson teaches students how to calculate the surface area and volume of three-dimensional shapes. The lesson includes research-based strategies and strategic questions that prepare students for standardized assessments. In this lesson, students will identify given measurements, find any unknown measurements and use the correct equations to calculate surface are and volume. In addition to the lesson, there are five pages of independent practice and twelve pages of periodic review with questions modeled after standardized assessments.
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Calculate the Area of Composite Figures
6.G.1 Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
HSG.GMD.1HSG.GMD.1 Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri's principle, and informal limit arguments.
This math lesson teaches students how to calculate the area of a composite figure. The lesson includes research-based strategies and strategic questions that prepare students for standardized assessments. In this lesson, students will identify the common geometric figures that make up a composite figure and then sum the separate areas to find the area of the whole. In addition to the lesson, there are two pages of independent practice and three pages of periodic review with questions modeled after standardized assessments.
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Use the Pythagorean Theorem to Find an Unknown Length of a Side of a Right Triangle
This math lesson teaches students how to apply the Pythagorean Theorem to find the unknown length of the side of a triangle. The lesson includes research-based strategies and strategic questions that prepare students for standardized assessments. In this lesson, students will identify the hypotenuse and two legs of a right triangle, then solve the Pythagorean Theorem for the missing value. In addition to the lesson, there are two pages of Independent Practice and six pages of Periodic Review with questions modeled after standardized assessments.
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Use the Properties of Special Right Triangles
This math lesson teaches students to recognize special right triangles (30°-60º-90° and 45º-45°-90º). The lesson includes research-based strategies and strategic questions that prepare students for standardized assessments. In this lesson, students will identify special triangles and apply simple formulas to find unknown sides. In addition to the lesson, there are four pages of Independent Practice and four pages of Periodic Review with questions modeled after standardized assessments.
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Construct & Interpret Two-Way Frequency Tables
This conditional probability lesson teaches students how to construct and interpret two-way frequency tables. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students will use data from a sample group relating to two different categories to estimate simple and conditional probabilities. Students will interpret data given in the table and narrative forms and construct a two-way frequency table from the narrative data.
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Solve Problems Involving Permutations
This conditional probability lesson teaches students how to use permutations and combinations to compute probabilities of compound events and solve problems. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students will use diagrams and the Fundamental Counting Principal to determine the size of a sequence, the given number of objects and then find the number of permutations.
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Use the Mean and Standard Deviation to Estimate Population Percentages
(B) Determine the mean absolute deviation and use this quantity as a measure of the average distance data are from the mean using a data set of no more than 10 data points
MM.9.B(B) Analyze numerical data using measures of central tendency (mean, median, and mode) and variability (range, interquartile range or IQR, and standard deviation) in order to make inferences with normal distributions
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Calculate and Interpret Types of Relative Frequencies
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Compare Data Sets
(Y9) Compare data displays using mean, median and range to describe and interpret numerical data sets in terms of location (centre) and spread (ACMSP283)
ACMSP249(Y10) Construct and interpret box plots and use them to compare data sets (ACMSP249)
ACMSP278(Y10A) Calculate and interpret the mean and standard deviation of data and use these to compare data sets (ACMSP278)
ACMEM057(Y11-12) Compare back-to-back stem plots for different datasets (ACMEM057)
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Determine and Interpret Nonlinear Lines of Best Fit
(B) Write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems.
A1.9.E(E) Write, using technology, exponential functions that provide a reasonable fit to data and make predictions for real-world problems.