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In this unit, students apply and extend many skills and concepts they learned throughout the year to engaging, real world contexts. The following big ideas will be covered in this unit:
- Formulas for area and volume can be applied to solve real world problems.
- A rectangle can be decomposed into two congruent triangles. Therefore, the area of the triangle is ½ the area of the rectangle.
- Measurements can be expressed in larger or smaller units within a measurement system.
- Graphs can be used to illustrate how one variable affects another.
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Number & Operations in Base Ten 5.NBT.A. Understand the place value system. 5.NBT.A.4. Use place value understanding to round decimals to any place. 5.NBT.B. Perform operations with multi-digit whole numbers and with decimals to hundredths. 5.NBT.B.7. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Number & Operations—Fractions 5.NF.B. Apply and extend previous understandings of multiplication and division to multiply and divide fractions. 5.NF.B.4. Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. 5.NF.B.5. Interpret multiplication as scaling (resizing), by: 5.NF.B.6. Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. 5.MD.A. Convert like measurement units within a given measurement system. 5.MD.A.1. Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. 5.G.A. Graph points on the coordinate plane to solve real-world and mathematical problems. 5.G.A.1. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate). 5.G.A.2. Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.
© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.
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Students will have opportunities to:
- Make sense of their problem. (MP.1)
- Reflect on their thinking as they solve the problem. (MP.1)
- Keep trying when their problem is hard. (MP.1)
- Check whether their answer makes sense. (MP.1)
- Solve problems in more than one way. (MP.1)
- Compare their strategies with others. (MP.1)
- Model real-world situations using graphs, drawings, tables, symbols, numbers, diagrams, and other representations. (MP.4)
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Use mathematical models to solve problems and answer questions. (MP.4)
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- Fractional side lengths can be multiplied to find the area of a rectangle.
- Volume typically refers to the amount of space an object takes up but is also used for the size of three-dimensional shapes.
- Formulas, (v = length x width x height or v = base x height), can be used to calculate the volume for rectangular prisms.
- Base-ten system supports conversions within the metric system.
- The base-ten place value system extends infinitely in two directions: to tiny values as well as to large values, the 10 to 1 ratio remains the same.
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Later Grades:
- Area of polygons can be found by composing into rectangles or decomposing into triangles and other shapes.
- Volume can be measured by filling right rectangular prisms with blocks to see the relationship between the total volume and the area of the base.
- The formula to find the volume of a right rectangular prism is the area of the base times the height.
- Unit conversions are proportional relationships.
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acre, budget, accounting, unit cost, wages, debt, national debt, heart rate, pulse, unit conversion, heart-rate profile, cardiac output, pendulum, bob, arc size, arc of a pendulum
feet, yard, inches, area, length, width, volume, area, base
Bold Font: Listed in teacher's EDM4 edition
Normal Font: not listed in teacher’s edition as a vocabulary word but will be helpful for students in explanations
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| The following lesson plan sequence is obtained from Everyday Mathematics 4. Each lesson is aligned with a learning objective to inform the teachers on what students should be able to at the end of the lesson. The student objective informs the students of their learning goals for the day and it should be reviewed before, during and at the end of the lesson. Each lesson includes a mathematics task that should be implemented to meet the learning objectives. Teachers can select from the practice opportunities to reinforce the learning goals of the day. |
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| The following language supports are for English Language Learners but could also be used to support any struggling learner in mathematics. The strategies are obtained from the SIOP model. The language objectives will support students' academic language development. The sentence stems and starters provides the support many students need to be able to participate in discussions and writing about mathematics. |
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