| Standards | Learning Targets | Estimated Instructional Time | Vocabulary | Resources |
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Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. 4. NF.3 Understand a fraction a/b with a > 1 as a sum of fractions 1/b. a. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole. b. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8. c. Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction. d. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.4.NF.4 Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. a. Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4). b. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5),recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.) c. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie? |
Add/subtract like and unlike fractions. Show and explain that fractions are parts of wholes that can be added or subtracted. Can add and subtract fractions and mixed numbers that have the same denominator. Can show mutilation through repeated addition of a a fraction to make a whole number. Can multiply a fraction by a whole number.
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2 Weeks Chapter 20, Supplement multiplying fractions. |
Improper
faction Mixed number Numerator Denominator Decompose Compose Fraction Equivalent fraction, Numerator Commutative Property of Addition
Associative Property of Addition, Benchmark fractions, common denominator, number line, solve, symbol,
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Understand decimal notation for fractions, and compare decimal fractions. 4.NF.5 - Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.4 For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100. 4.NF. 6 - Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram. 4. NF. 7 - Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model. |
Can
change a fraction with a denominator of 10 to an equivalent fraction
with a denominator of 100. Can then add those two fractions. |
2 Weeks Chapters 21-22 |
Fractions Denominator Multiples Numerator Place Value, Benchmark fractions, hundredths, symbol, |
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Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit. 4.MD.1 - Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two column table. For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs (1, 12), (2, 24), (3, 36), ... 4. MD. 2 - Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. |
Students
can solve problems involving measurement Can convert measurements from one unit to another Can use a diagram such as a number line to show measurement. Can convert units of measurement. |
2-3 Weeks
Chapter 12 |
meters, centimeters, kilometer, kilograms, grams, pound, ounce, milliliter, liter, kiloliter, millimeter, second, minute, equivalent, operations, distance, interval, time interval, volume, mass, decimal point , decimals, square unit, diagrams, number line, conversion, data, standard units of measure, symbol, weight, |
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4. MD. 3
- Apply the area and perimeter formulas for rectangles in real world and
mathematical problems. For example, find
the width of a rectangular room given the area of the flooring and the
length, by viewing the area formula as a multiplication equation with an
unknown factor. Represent and interpret data. 4. MD. 4 - Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots. For example, from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection. |
Can find
the area and perimeter of rectangles by using a formula Can find the missing length or width of a rectangle using the area formula Can make a line plot using fractions Can solve problems by using information on a line plot |
2 Weeks Chapter 18 |
rectangle, area, perimeter, formula, square units, length, width, line plot, fraction, range, difference, symbol, |