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Converting Improper Fraction to Mixed Number
Improper fractions have a numerator that is greater than or equal to the denominator and can be converted to mixed numbers. To do so, divide the numerator by the denominator and write the whole number result with the remainder over the denominator. For example, an improper fraction of 15/4 would convert to a mixed number of 3 7/4 by dividing 15 by 4 to get 3 with a remainder of 3, written with the 3 and remainder over the original denominator.
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The 8th grade math curriculum map outlines the curriculum for the first two quarters. It includes six clusters that cover topics such as comparing and ordering real numbers, solving algebraic equations and inequalities, ratios and proportions, the Pythagorean theorem, functions and linear relationships, and geometric shapes. The document provides essential questions, learning objectives, and vocabulary for each topic. It also identifies which standards and skills are most important, increased in rigor, or previously taught at an earlier grade level.
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1. The lesson plan is for a math class on factoring the sum and difference of two cubes.
2. Students will do an activity matching cube root terms to images to help understand getting cube roots and the patterns in factoring sums and differences of cubes.
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Converting Improper Fraction to Mixed Number
Improper fractions have a numerator that is greater than or equal to the denominator and can be converted to mixed numbers. To do so, divide the numerator by the denominator and write the whole number result with the remainder over the denominator. For example, an improper fraction of 15/4 would convert to a mixed number of 3 7/4 by dividing 15 by 4 to get 3 with a remainder of 3, written with the 3 and remainder over the original denominator.
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The 8th grade math curriculum map outlines the curriculum for the first two quarters. It includes six clusters that cover topics such as comparing and ordering real numbers, solving algebraic equations and inequalities, ratios and proportions, the Pythagorean theorem, functions and linear relationships, and geometric shapes. The document provides essential questions, learning objectives, and vocabulary for each topic. It also identifies which standards and skills are most important, increased in rigor, or previously taught at an earlier grade level.
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The document discusses how the time it takes for water to boil, m, varies inversely with temperature, t. Specifically, it states that as temperature, t, increases, the time to boil, m, decreases. It provides the formula m = k/t, where k is a constant of variation. As one variable (temperature) increases, the other (time to boil) decreases.
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This document contains a daily log of lesson plans for a mathematics class in the Philippines from June to July. Each day lists the objectives, references from textbooks and guides, and remarks. The objectives cover number recognition, counting, addition, word problems, and place value for numbers up to 1,000. The remarks section tracks the number of students meeting mastery levels and needing remediation. Other activities are also sometimes noted. The log shows the planned curriculum and assessment for the class over this time period.
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This document contains a math practice worksheet with 22 problems asking students to find the area of various polygons using trigonometry. The polygons include equilateral triangles, squares, regular hexagons, regular pentagons, regular octagons, and regular decagons with given apothems or radii. Some problems also ask students to find the area of unspecified triangles.
9 5 practice (trig and area)
This document contains a math practice worksheet with 22 problems calculating the areas of various polygons using trigonometry. The problems involve finding the areas of equilateral triangles, squares, regular hexagons, regular pentagons, regular octagons, and regular decagons given their apothems or radii. Other problems calculate the areas of triangles. The final problems calculate the areas of regular polygons in real world contexts like dog pens, swimming pools, and patios.
7.4 word problems (by catgory)
The document contains 27 word problems from various categories including systems of linear equations, tickets/admissions, coins, digits, break even, wind/current. The problems provide relevant context and numerical information to solve multi-step math word problems across different domains.
7.1 7.3 review (11-12)
The document provides a review of the three methods to solve systems of equations: graphing, substitution, and elimination. It includes examples of systems of equations to solve using each method. Checkpoint questions are provided to have the student practice solving systems of equations by graphing, substitution, and elimination.
7.1 7.3 reteach (review)
The document provides examples and exercises for solving systems of linear equations by graphing, substitution, and elimination. It explains that when graphing two linear equations, the point of intersection is the solution to the system. For substitution, one equation is solved for one variable in terms of the other and substituted into the other equation. For elimination, like terms are eliminated by adding or subtracting the equations to solve for one variable in terms of the other.
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