Grade 5 Math Map Page



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Big Idea

Chapter Order

Standard

I Can Statements

Academic Vocabulary

Understand Place Value System: The position of a digit determines its value in a number and understand place value leads to number sense and efficient strategies for computing with numbers.

1

Prerequisite Skills


I can understand and explain the value of digits.

hundred thousand, standard form, word form, periods, millions, place, value, expanded form, greater than (>), less than (<), round, estimate, front-end estimation with adjustment, compatible numbers

Write and interpret numerical expressions: Mathematical operations are used in solving problems in which a new value is produced from one or more values

2

5.OA.1

Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

5.NBT.5-6

5.NBT.2 - get from Howard County



I can use parentheses and brackets in expressions.

product, factor, exponent, base, square, cube, quotient, dividend, divisor, remainder, numeric expression, order of operations

Use equivalent fractions as a strategy to add and subtract fractions. Fractions and decimals allow for quantities to be expressed with greater precision than with just whole numbers.


3

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.

5.NF.2


Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.


Add and subtract two fractions with unlike denominators (any denominator).



multiple, least common multiple, least common denominator, equivalent fractions, benchmarks, division expression, mixed number

Apply and extend previous understandings of multiplication and division to multiply and divide fractions: Fractions and decimals allow for quantities to be expressed with greater precision than with just whole numbers.

4

5.NF.4

Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

5.NF.5 - howard county - combine with 4

5.NF.3 - below

5.NF.6-7 below change format

I can multiply a fraction or whole number by a fraction.

product, common factor, proper fraction, improper fraction, mixed number, reciprocal

Write and interpret numerical expressions: Algebraic thinking involves choosing, combining and applying effective strategies for answering quantitative questions.

5

5.OA.2

Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them.

I can write expressions I hear using mathematical symbols and the order of operations.

numerical expression, variable, algebraic expression, evaluate, simplify, like terms

Understand Place Value System: The position of a digit determines its value in a number.

8

5.NBT.3,4

Read, write, and compare decimals to thousandths. change #1 to Howard County number line question & http://www.orglib.com/5.nbt.3.a-read-decimals-14previewTest_0d1520c2bb_C32F38EFFDE140788221FE54E2FA0F28_332_20_2_1309.html

Use place value understanding to round decimals to any place.

I can read, write, and compare decimals to thousandths.

thousandth, equivalent

Perform operations with multi-digit whole numbers and with decimals to the thousandths: Understanding place value can lead to number sense and efficient strategies for computing with numbers.



9

5.NBT.1,7

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.

Add Howard County NBT 1 & 7

I can add, subtract, multiply, and divide decimals to hundredths. I can use concrete models or drawings to explain the method used.

dividend, per unit, estimate, divisor

Represent and Interpret Data: Measurements processes are used in everyday life to describe and quantify the world. Data displays describe and represent data in alternative ways.


11

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.

add from below 5.OA.3, 5.G.1-2

I can use fraction operations to solve problems involving information presented

on a line plot.




double bar graph, key, coordinate grid, x-axis, y-axis, coordinate plane, coordinates, ordered pair, x-coordinate, y-coordinate, origin, straight line graph, equation, favorable outcome, theoretical probability, experimental probability

Classify two dimensional figures into categories based on their properties: Geometric attributes, such as shapes, lines, angles, figures and planes, provide descriptive information about an object's properties and position in space and support visualization and problem solving.

13

5.G.3

Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.

I can classify shapes into categories.

equilateral triangle, isosceles triangle, scalene triangle, right triangle, obtuse triangle, acute triangle, parallelogram, rhombus, trapezoid

Solve real-world and mathematical problems involving area, surface area, and volume: Geometric attributes (such as lines, angles, figures, and planes) provide descriptive information about an object's properties and position in space and support visualization and problem solving.



6

6.G.A.1

Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

I can put together and take apart shapes to help me find the area of right triangles, other triangles, special quadrilaterals and polygons. I can make a line plot to display data sets of measurements in fractions. I can apply what I know about taking apart and putting together shapes to find the area in real world situations.

vertex, side, angle, base, height, perpendicular, area, right triangle, acute triangle, obtuse triangle

Solve real-world and mathematical problems involving area, surface area, and volume: Surface area of 3-dimensional figures can be represented by nets and is the total area of all its faces.

14

6.G.A.4

Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

I can show how three dimensional figures can be made using two dimensional nets.

(A net is the pattern made when the surface of a three dimensional figure is laid out flat). I can figure out the surface area of a three dimensional shape by using a net.



face, base, edge, vertex, prism, rectangular prism, triangular prism, pyramid, square pyramid, triangular pyramid, net, cylinder, sphere, cone

Solve real-world and mathematical problems involving area, surface area, and volume: Area is the amount of space on a flat plane.

15

6.G.A.2

Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

5.MD.3-4 add from below (15.4 lesson)

I can use unit cubes to find the volume of a right rectangular prism and I understand that the mathematical formula (V = l w h or V = b h) will give me the same result. I can use the mathematical formulas V=l w h or V= b h to determine the volume of real world objects.

unit cube, surface area, right triangle

Understand ratio concepts and use ratio reasoning to solve problems: Ratios and proportional relationships are used to express how quantities are related and how quantities change in relation to each other.



10

6.RP.A.3c

Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.

I can find a percent of a quantity as a rate per 100. (Ex: 30% of a quantity means 30/100 times the quantity). I can solve problems involving finding the whole if I am given a part and the percent.

percent, sales tax, meals tax, discount, interest

Understand ratio concepts and use ratio reasoning to solve problems: Ratios and proportional relationships are used to express how quantities are related and how quantities change in relation to each other.



7

6.RP.A.1

Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

I can understand ratios and the language used to describe two amounts.

ratio, term, equivalent ratios, simplest form, greatest common factor,

Solve real-world and mathematical problems involving area, surface area, and volume: Geometric attributes (such as lines, angles, figures, and planes) provide descriptive information about an object's properties and position in space and support visualization and problem solving.

12

6.G.A.1

Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

I can put together and take apart shapes to help me find the area of right triangles, other triangles, special quadrilaterals and polygons. I can make a line plot to display data sets of measurements in fractions. I can apply what I know about taking apart and putting together shapes to find the area in real world situations.

angles on a line, angles at a point, intersecting lines, vertical angles


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