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| In this unit, children extend their understanding of the base-10 system to include decimals. They read, write and represent decimals through thousandths in a variety of ways and learn strategies to compare, order and round decimals. Students are also introduced to the first quadrant of the coordinate grid.The following big ideas will be covered in this unit: - The location of a digit in decimal numbers determines the value of the digit.
- Rounding decimals should be sensible for the context of the problem.
- Decimal numbers can be represented with models.
- Addition and subtraction with decimals are based on the fundamental concept of adding and subtracting the numbers in like position values.
- 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. - Location can be determine in a plane or in space using coordinate systems.
- Graphical representations can be used to make predictions and interpretations about real world situations. |
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| Number & Operations in Base Ten 5.NBT.A. Understand the place value system. 5.NBT.A.1. Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. 5.NBT.A.3. Read, write, and compare decimals to thousandths. 5.NBT.A.3a. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000). 5.NBT.A.3b. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. 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. 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. | Students will have opportunities to: - Check whether their answer makes sense. (MP 1)
- Create mathematical representations using numbers, words, pictures, symbols, gestures, tables, graphs, and concrete objects.(MP 2)
- Make sense of the presentations they and others use.(MP 2)
- Make connections between representations.(MP 2)
- Make mathematical conjectures and arguments. (MP 3)
- Model real-world situations using graphs, drawings, tables, symbols, numbers, diagrams, and other representations. (MP 4)
- Explain their mathematical thinking clearly and precisely. (MP 6)
- Look for mathematical structures such as categories, patterns, and properties.(MP 7)
- Use structures to solve problems.(MP 7)
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| Previous Grades: - Decimals are another way of writing fractions, and are also called decimal fractions.
- Decimals can be represented visually and in written form.
- Decimals are a part of the base ten system.
- The decimal point is a convention that has been developed to indicate the unit’s position.
- Tenths can be expressed using an equivalent fraction with a denominator of 100. | -Rules for multiplication and division of whole numbers apply to decimals.
- The placement of the decimal is determined by multiplying or dividing a number by 10 or a multiple of 10.
- Multiplication and division of two numbers will produce the same digits, regardless of the positions of the decimal point. Multiplication with decimals can be performed as whole numbers with the decimal placed by way of estimation. |
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| addend, axes, balance, column addition, compare, coordinate grid, coordinates, counting-up subtraction, decimal, decimal point, digit, expanded form, hundredths, intersect, order, ordered pair, origin, partial sums addition, perpendicular, plot, rounding, tenths, thousandths, x-axis, x-coordinate, y-axis, y-coordinate, patterns, times as much, place value, decompose, graph, unknown
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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