th5 Grade Math Pacing Guide - Little Egg Harbor School ... · PDF fileth5 Grade Math Pacing Guide ... Ch. 6~ 6.1 (Add Unlike Denom.); 6.4 ... Shape and Coordinate Geometry (Recommended

5th Grade Math Pacing Guide

Board Approved: December 12, 2016

Recommended Pacing for 2016-

2017 ONLY:

Oct. - Nov. 29 days

starts with lesson 1.10

UNIT 1

Understanding the Place Value System

Recommended Pacing:

Sept.- Oct

Instructional days: ( 36 )

Go Math Chapters Covered: 1,2,3,4,5

Completed

# CCSS Student Learning Objective Key words are italicized

Go Math Lessons

1 ** 5.OA.1 Evaluate numerical expressions with parentheses, brackets, and braces

Ch. 1~ 1.3 (Properties); 1.10 (Numerical Expressions), 1.11 (Evaluation Numerical Expressions); 1.12 (Grouping Symbols)

2 ** 5.OA.2 Write numerical expressions when given a word problem or scenario in words to interpret numerical expressions

Ch. 1~ 1.10 (Numerical Expressions)

3 5.NBT.1 Explain the “10 times” or “1/10” relationships for place value in multi-digit numbers moving right or left across the places

Ch. 1~ 1.1 (Place Value of Patterns); 1.2 (Place Value of Whole

Numbers) Ch. 3~ 3.1 (+/- Decimals Thousandths)

4 5.NBT.2 Recognize & explain patterns of the number of zeros & the placement of the decimal point in a product or quotient when a

number is multiplied or divided by powers of 10

Ch. 1~ 1.4 (Powers of 10 & Exponents); 1.5 (X Patterns) Ch. 4~ 4.1 (X Patterns with Decimals); 4.3 (X Decimals with Whole

Numbers); 4.4 (X with expanded form); 4.7 (X decimals) Ch. 5~ 5.1 (Decimal Division); 5.6 (Divide Decimals)

5 5.NBT.3 Compare decimals to thousandths based on the value of the digits in each place using the symbols <, >, =

Ch. 2~ 2.7 (Interpret the Remainder) Ch 3 ~ 3.2 (Place Value of Decimals); 3.3 (Compare & Order

Decimals)

6 5.NBT.4 Round a decimal to any place Ch. 3~ 3.4 (Round decimals)

7 5.NBT.5 Use the standard algorithm to multiply 3 digit whole numbers by 1 digit whole numbers

Ch. 1~ 1.6 (X by 1-digit number); 1.7 (X by multi-digit number)

8 5.NBT.6 Calculate whole number quotients with 4-digit dividends & 2-digit divisors & explain answers with equations, rectangular arrays, &

area models

Ch. 1~ 1.8 (Relate X and Division); 1.9 (Problem Solve X & Division) Ch. 2~ 2.1 (Place the 1st Digit); 2.2 (Divide by 1-Digit Divisors); 2.3

(Division with 2-Digit); 2.5 (Estimate with 2-Digit Divisors); 2.6 (Divide

by a 2-Digit Divisors); 2.8 (Adjust Quotients); 2.9 (Problem Solving

Division)

** Additional Content (Identified by PARCC Model Content Frameworks)


Board Approved: December 12, 2016


2017 ONLY:

December 11-16 days

UNIT 2

Geometric Measures and Understanding

Recommended Pacing:

November


Go Math Chapters Covered: 11

(Review 1)

Completed


Go Math Lessons

1 5.MD.3b 5.MD.4

Understand & measure volume by counting the total number of same size cubic units require to fill a figure without gaps or overlaps

5.MD.3b: Ch. 11~ 11.6 (Understand Volume) 5.MD.4: 11.6 (Understand Volume); 11.7 (Estimate Volume)

2 5.MD.3a 5.MD.4

Know a cube with a side length of 1 unit is called a “unit cube” and can be used to measure volume. Choose an appropriate cubic unit

based on the attributes of the 3-dimensional figure you are measuring.

5.MD.3a: Ch. 11~ 11.4 (3-Dimensional Figures); 11.5 (Unit Cube &

Solid Figures) 5.MD.4: 11.6 (Understand Volume); 11.7 (Estimate Volume)

3 5.MD.5a Show that the volume of a right rectangular prism found by counting the cubes is the same as the formulas V= L x W x H or

V = B x H

Ch. 11~ 11.8 (Volume of Rectangular Prism); 11.9 (Apply Volume

Formulas)

4 5.MD.5b Explain how both volume formulas relate to counting the cubes in one layer & multiplying that value by the number of layers (height)

Ch. 11~ 11.8 (Volume of Rectangular Prism); 11.9 (Apply Volume

Formulas); 11.10 (Problem Solving Compare Volumes)

5 5.MD.5c Find the volume of a composite solid figure composed of a 2 non-overlapping right rectangular prisms

Ch. 11~ 11.11 (Find Volume of Compound Figures)

6 5.MD.5 Apply formulas to solve real world & mathematical problems involving of right rectangular prisms & composite of same

Ch. 11~ Review of all

7 ** 5.OA.2 Write numerical expressions when given a word problem or a scenario in words to use words to interpret numerical expressions

Ch. 1~ 1.10 (Numerical Expressions)




2017 ONLY:

January - February

35 days

UNIT 3

Operations with Multi-digit Whole Numbers, Decimals and Fractions

Recommended Pacing:

December - March


Go Math Chapters Covered: 2, 6, 7, 8

(Review 1.7 )

Completed


Go Math Lessons

1 5.NF.1 Add and subtract fractions (including mixed numbers) with unlike denominators by replacing the given fractions with equivalent

fractions having like denominators.

Ch. 6~ 6.1 (Add Unlike Denom.); 6.4 (Common Denom. &

Equivalent Fractions); 6.5 (Add & Subtract Fractions); 6.6 (Add &

Subtract with Mixed Numbers); 6.7 (Subtraction with Renaming); 6.8 Patterns with Fractions); 6.9 (Problem Solving-Practice Addition &

Subtraction); 6.10 (Use Properties of Addition)

2 5.NF.2 Solve word problems involving adding or subtracting fractions including unlike denominators, and determine if the answer to the

word problem is reasonable, using estimations with benchmark fractions.

Ch. 6~ 6.1 (Add Unlike Denom.); 6.2 (Subtract with Unlike

Denominators); 6.3 (Estimate Fraction Sums & Differences); 6.5 (Add

& Subtract Fractions); 6.6 (Add & Subtract with Mixed Numbers); 6.7 (Subtraction with Renaming); 6.9 (Problem Solving-Practice Addition

& Subtraction)

3 5.NF.3 Interpret a fraction as a division of the numerator by the denominator; solve word problems where division of whole numbers

leads to fractional or mixed number answers.

Ch. 2~ 2.7 (Interpret the Remainder); Ch. 8~ 8.3 (Connect Fractions to Division)

4 5.NF.4a Multiply fractions by whole numbers and draw visual models or create story contexts. Interpret the product (a/b) x q as a parts of a whole partitioned into b equal parts added q times. In general, if q is a fraction c/d, then (a/b) x (c/d) = a(1/b) × c(1/d) = ac × (1/b)(1/d)

= ac(1/bd) = ac/bd.

Ch. 7~ 7.1 (Find Part of a Group); 7.2 (Investigate-Multiply Fractions

and Whole Numbers); 7.3 (Fraction and Whole Number

Multiplication); 7.4 (Multiply Fractions); 7.6 (Fraction Multiplication)

5 5.NF.4b Find the area of a rectangle with fractional side lengths by tiling unit squares and multiplying side lengths.

Ch. 7~7.4 (Multiply Fractions);7.10 (Find Unknown Length)

6 5.NF.5a 5.NF.5b

Explain how a product is related to the magnitude of the factors. Ch. 7~ 7.5 (Compare Fractions & Products); 7.6 (Fraction

Multiplication; 7.7 (Area & Mixed Numbers); 7.8 (Compare Mixed

Number Factors & Products)

7 *5.NBT.5 Fluently multiply multi-digit whole numbers using the standard algorithm.

Ch. 1~ 1.7 (Multiply multi-digit numbers) REVIEW

* grade level fluency requirement (Identified by PARCC Model Content Frameworks).



2017 ONLY:

March

24 days

UNIT 4

Fraction Multiplication by a Whole Number and Scaling

Recommended Pacing:

March - April Instructional days:

( 27 )

Go Math Chapters Covered: 3, 4, 5, 7, 8, 10

*more lessons than days teaching

Completed


Go Math Lessons

1 5.NBT.1 Describe the place value of numeral digits relative to both the place to the right and the place to the left (decimal to hundredths and

whole numbers to billions).

Ch. 1~ 1.1 (Place Value of Patterns); 1.2 (Place Value of Whole

Numbers) REVIEW

Ch. 3~ 3.1 (+/- Decimals Thousandths)

2 5.NBT.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; and, explain the reasoning used.

Ch. 3~ 3.5 (Decimal Addition); 3.6 (Decimal Subtraction); 3.7 (Estimate Decimal Sums & Differences); 3.8 (Add Decimals); 3.9 (Subtract Decimals); 3.10 (Patterns with Decimals); 3.11 (Add &

Subtract Money); 4.1 (Multiplication Patterns with Multiplication); 4.2 (X Decimals and Whole Numbers); 4.3 (X with Decimals and

Whole Numbers); 4.4 (Multiply Using Expanded Form); 4.5 (X

Money); 4.6 (Decimal X); 4.7 (X Decimals); 4.8 (Zeros in the Product); 5.2 (Divide Decimals by Whole Numbers); 5.3 (Estimate

Quotients); 5.4 (Division of Decimals of Whole Numbers); 5.5 (Decimal Division); 5.6 (Divide Decimals); 5.7 (Write Zeros in the

Dividend); 5.8 (Decimal Operations)

3 ^^ 5.MD.1 Convert standard measurement units within the same system (e.g., centimeters to meters) to solve multi-step problems).

Ch. 10~ 10.1 (Customary Length); 10.2 (Customary Capacity); 10.3 (Weight); 10.4 (Multistep Measurement Problems); 10.5 (Metric

Measures); 10.6 (Customary & Metric Conversions); 10.7 (Elapsed

Time)

4 5.NF.6 Solve real world problems involving multiplication of fractions (including mixed numbers), using visual fraction models or equations

to represent the problem.

Ch. 7~ 7.9 (Multiply Mixed Numbers); 7.10 (Find Unknown Length)

5 5.NF.7a Divide a unit fraction by a non-zero whole number and interpret by creating a story context or visual fraction model.

Ch. 8 ~8.1 (Divide Fractions & Whole Numbers); 8.4 (Fraction &

Whole-Number Division); 8.5 (Interpret Division with Fractions)

6 5.NF.7b Divide a whole number by a unit fraction and interpret by creating a story context or visual fraction model.

Ch. 8 ~8.1 (Divide Fractions & Whole Numbers); 8.2 (Problem Solve

Use X); 8.4 (Fraction & Whole-Number Division); 8.5 (Interpret Division with Fractions)

7 5.NF.7c Solve real world problems involving division of unit fractions by whole numbers or whole numbers by unit fractions.

Ch. 8 ~8.1 (Divide Fractions & Whole Numbers); 8.4 (Fraction &

Whole-Number Division); 8.5 (Interpret Division with Fractions)

^^ Supporting Content (Identified by PARCC Model Content Frameworks).



2017 ONLY:

April 5 days

focusing on Ch. 9

UNIT 5

Shape and Coordinate Geometry

Recommended Pacing:

May - June


Plus 5.NBT.7 is carried over from April

Go Math Chapters Covered: 3, 4, 5, 9, 11

(Review 1.6 & 1.7 )

Completed


Go Math Lessons

1 5.NBT.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, subtraction, multiplication, and division.

Ch. 3~ 3.5 (Decimal Addition); 3.6 (Decimal Subtraction); 3.7 (Estimate Decimal Sums & Differences); 3.8 (Add Decimals); 3.9 (Subtract Decimals); 3.10 (Patterns with Decimals); 3.11 (Add &

Subtract Money); 4.1 (Multiplication Patterns with Multiplication); 4.2 (X Decimals and Whole Numbers); 4.3 (X with Decimals and

Whole Numbers); 4.4 (Multiply Using Expanded Form); 4.5 (X

Money); 4.6 (Decimal X); 4.7 (X Decimals); 4.8 (Zeros in the Product); 5.2 (Divide Decimals by Whole Numbers); 5.3 (Estimate

Quotients); 5.4 (Division of Decimals of Whole Numbers); 5.5 (Decimal Division); 5.6 (Divide Decimals); 5.7 (Write Zeros in the

Dividend); 5.8 (Decimal Operations)

2 **5.G.1 Use a pair of perpendicular number lines (axes) to define a coordinate system, with the intersection of the lines (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 (coordinates).

Ch. 9~ 9.2 (Ordered Pairs)

3 ** 5.G.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.

Ch. 9~ 9.3 (Graph Data); 9.4 (Line Graphs)

4 **5.OA.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given

the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting

sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally

why this is so.

Ch. 9~ 9.5 (Numerical Patterns); 9.6 (Find A Rule); 9.7 (Graph & Analyze Relationships)

5 **5.G.3 Identify attributes of a two-dimensional shape based on attributes of the groups and categories in which the shape belongs.

Ch. 11 ~11.1 (Polygons); 11.2 (Triangles); 11.3 (Quadrilaterals)

6 **5.G.4 Classify two- dimensional figures in a hierarchy based on properties. Ch. 11 ~11.1 (Polygons); 11.2 (Triangles); 11.3 (Quadrilaterals)

7 ^^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. For example, given different measurements of liquid in identical beakers,

find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.

Ch. 9~ 9.1 (Line Plots)

8 5.NBT.5 Fluently multiply multi-digit whole numbers using the standard algorithm.

Ch. 1~ 1.6 (X by 1-digit number); 1.7 (X by multi-digit) REVIEW

^^ Supporting Content (Identified by PARCC Model Content Frameworks)


Documents

th5 Grade Math Pacing Guide - Little Egg Harbor School ... · PDF fileth5 Grade Math Pacing Guide ... Ch. 6~ 6.1 (Add Unlike Denom.); 6.4 ... Shape and Coordinate Geometry (Recommended