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• Phone: 810.591.4401

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Unit 1 This unit will focus on lines, angles, circles, polygons, symmetry and transformations. Essential Content and Skills The learner will: Identify important geometric terms relating to lines, parts of lines, angles, and planes. Measure and draw angles, and classify angles according to their measures. Identify relationships between parts of a circle such as center, radius, diameter, chord, and central angle. Identify and classify polygons. Identify and classify triangles. Identify and classify quadrilaterals. Understand when a problem can be broken apart into simpler problems and how this can help you solve some complex problems. Describe similarities and differences in geometric figures. Identify congruent figures and similar figures. Determine whether a pair of congruent figures are related by a slide, flip, or turn. Identify and make symmetrical figures and draw a line or lines of symmetry. Unit 2 This unit will focus on understanding fractions, fraction relationships, and fractions and decimals. Essential Content and Skills The learner will: Identify and show fractional parts of regions and sets and locations on a number line. Learn how division can be used to divide objects into equal parts where the parts are fractions of a whole. Express fractions greater than 1 as mixed numbers or improper fractions. Estimate fractional parts of regions. Identify and locate fractions and mixed numbers on a number line. Solve problems involving too much information by using only the information needed, and decide when there is not enough information to solve a problem. Identify and write equivalent fractions. Identify fractions that are equivalent and find fractions equivalent to a given fraction using models and/or a computational procedure. Determine common factors and the greatest common factor of numbers. Identify fractions that are in simplest form and find the simplest form of a fraction. Determine which of two fractions is greater or less and write a comparison. Compare and order fractions and mixed numbers. Represent decimals as fractions and simple fractions as decimals. Label a point on a number line using a fraction and a decimal, and write a fraction and decimal for a point on a number line. Use the information given in the problem to make conclusions. Unit 3 This unit will focus on adding and subtracting fractions, adding and subtracting mixed numbers, and multiplying and dividing fractions. Essential Content and Skills The learner will: Add and subtract fractions with like denominators. Find a common denominator for two fractions using fraction strips. Find a common denominator for two fractions. Add and subtract fractions with unlike denominators. Add and subtract mixed numbers with and without renaming. Estimate sums and differences of mixed numbers. Estimate sums and add mixed numbers. Estimate differences and subtract mixed numbers. Solve problems that require finding the original times, measurements, or quantities that led to a result that is given. Use models or mental math to find fractions of whole numbers. Use compatible numbers and mental math to estimate the product of a whole number and a fraction. Use models or paper and pencil to multiply fractions. Multiply mixed numbers. Use models or mental math to divide fractions. Solve a problem by choosing an operation. Unit 4 This unit will focus on linear measurement and perimeter, area, and time and temperature. Essential Content and Skills The learner will: Change between one customary unit of length and another, and add and subtract customary units of length. Measure and draw lengths to the nearest inch, quarter inch, and eighth inch. Choose the most appropriate metric unit of length, and measure lengths to the nearest centimeter and millimeter. Change among measurements in metric units of length. Find the perimeter of a polygon. Find the circumference of a circle by using models and by using a formula. Find the area of irregular shapes by counting square units. Find the area of a rectangle or square by using a formula. Find the area of a parallelogram by using a formula, and find the length when the area and other side length are known. Find the area of a triangle by using a formula, and find a missing length when the area and other dimension are known. Draw pictures that represent the information given in problems. Change from one unit of time to another. Find the third time when given any two of these times: elapsed time, starting time, or ending time. Read temperatures in degrees Fahrenheit and in degrees Celsius on a thermometer with both scales, and give changes in temperature indicating the amount of increase or decrease. Write to explain how a broken ruler can be used to measure.

Unit 1: Essential Content and Skills Identify important geometric terms relating to lines, parts of lines, angles, and planes. Measure and draw angles, and classify angles according to their measurements. Analyze and classify polygons, triangles, and quadrilaterals. Understand how to break a complex problem into smaller, simpler problems. Describe similarities and differences in geometric figures. Label congruent figures and similar figures. Identify and make symmetrical figures, and draw a line or lines of symmetry. Unit 2: Essential Content and Skills Identify and show fractional parts or regions and sets of locations on a number line. Divide objects into equal parts where the parts are fractions of a whole. Estimate fractional parts of regions. Solve problems involving too much information by using only the information needed, and decide when there is not enough information to solve a problem. Identify and write equivalent fractions. Determine which of two fractions is greater or less and write a comparison. Label a point of a number line using a fraction and a decimal, and write a fraction and decimal for a point on a number line. Unit 3: Essential Content and Skills Solve fractions with like denominators. Find a common denominator for two fractions. Solve fractions with unlike denominators. Interpret mixed numbers with and without renaming. Estimate differences and subtract mixed numbers. Use models or mental math to find fractions of whole numbers. Use models or mental math to divide fractions. Unit 4: Essential Content and Skills Change between one customary unit of length and another, and add and subtract customary units of length. Measure and draw lengths to the nearest inch, quarter-inch, and eighth-inch. Find the perimeter of a polygon. Locate the area of a triangle by using a formula, and find a missing length when the areas of other dimensions are known. Change from one unit of time to another. Find the third time when given any two of these times: elapsed time, starting time, or ending time. Illustrate pictures that represent the information given in problems.

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