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4 Weeks
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Equivalent Fractions - Adding and Subtracting Fractions
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| (1) |
NY-5.NF.1 |
Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. |
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NY-5.NF.2 |
Solve word problems involving addition and subtraction of fractions referring to the same whole,
including cases of unlike denominators.
Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. |
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How can parts of a whole be combined to form new quantities?
Learning Targets:
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Equivalent Fractions
Benchmark Fractions
Word Problems
Addition of Fractions
Subtraction of Fractions
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Numerator
Denominator
Mixed Number
Equivalent
Benchmark Fraction
Like Denominators
Proper Fraction
Improper Fraction
Simlify
Simplest Form
Unit Fraction
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1. Students can find equivalent fractions. (This is a review of a 4th grade standard)
2. Students can recognize benchmark fractions. (This is a review of a 4th grade standard)
3. Students can add and subtract fractions with unlike denominators.
4. Students can solve word problems with adding and subtracting fractions.
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Module 4 Eureka
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Module 3 Test Eureka
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4 Weeks
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Multiply and Divide Fractions
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| (1) |
NY-5.NF.3 |
Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b).
Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers. |
| (1) |
NY-5.NF.4 |
Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. |
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NY-5.NF.4a |
Interpret the product a/b × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. |
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NY-5.NF.4b |
Find the area of a rectangle with fractional side lengths by tiling it with rectangles of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas. |
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NY-5.NF.5 |
Interpret multiplication as scaling (resizing). |
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NY-5.NF.5a |
Compare the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication. |
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NY-5.NF.5b |
Explain why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case). Explain why multiplying a given number by a fraction less than 1 results in a product smaller than the given number. Relate the principle of fraction equivalence a/b = a/b x n/n to the effect of multiplying a/b by 1. |
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NY-5.NF.6 |
Solve real world problems involving multiplication of fractions and mixed numbers. |
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NY-5.NF.7 |
Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. |
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NY-5.NF.7a |
Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. |
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NY-5.NF.7b |
Interpret division of a whole number by a unit fraction, and compute such quotients. |
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How does multiplication and division make parts of a whole bigger or smaller? (scaling)
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Word Problems
Multiplication of Fractions
Area Formula
Division of Fractions
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Area
and see previous vocab for fractions, multiplying, & dividing
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1. Students can interpret a fraction as division (including with word problems).
2. Students can multiply a whole number, or mixed number, by a fraction (using an area model).
3. Students can find the area of rectangle with fractional sides.
4. Students can demonstrate that when you multiply by a fraction your product gets smaller (scaling)
5. Students can solve word problems, multiplying fractions and mixed numbers.
6. Students can divide unit fractions by whole numbers and whole numbers by unit fractions.
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Eureka- Module 4
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Module 4 Eureka
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1 Week
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Represent and Interpret Data (Line plots)
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| (1) |
NY-5.MD.2 |
Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. |
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How do line plots represent parts of a whole?
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Line plots
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Line plots
Axis
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Students are learning to:
1. Make a line plot to display measurements in fraction form.
2. Solve problems involving information presented in line plots, using fractions.
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Module 4 Eureka
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Module 4 Eureka
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5 Weeks
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Geometric Measurement - Volume
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| (1) |
NY-5.MD.3 |
Recognize volume as an attribute of solid figures and understand concepts of volume measurement. |
| (1) |
NY-5.MD.3a |
Recognize that a cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume. |
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NY-5.MD.3b |
Recognize that a solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units. |
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NY-5.MD.4 |
Measure volumes by counting unit cubes, using cubic cm, cubic in., cubic ft., and improvised units. |
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NY-5.MD.5 |
Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. |
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NY-5.MD.5a |
Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. |
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NY-5.MD.5b |
Apply the formulas V = l × w × h and V = B × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems. |
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NY-5.MD.5c |
Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems. |
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NY-5.NF.7c |
Solve real-world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions. |
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