Math
(1st Semester)
Plain Elementary School: A School Family - Positively Committed to Excellence"
Greenville County Schools: Building a Better Graduate
Table of Contents
Scroll down for the following:
Unit 1: Understanding Volume
Unit 2: Multiplication & Division
Unit 3: Addition & Subtraction of Fractions
Unit 4: Representing Algebraic Thinking
Unit 5: Place Value of Decimals
Unit 6: Multiplying Fractions
Unit 7: Dividing with Fractions
Unit 8: Volume
Unit 9: Decimals
Unit 10: 2-Dimensional Figures
Unit 11: Customary & Metric Conversions
Unit 12: Solving Problems with Fractional Quantities
Unit 13: Coordinate Planes
Divisibility Rules
Manipulatives
Unit 1: Understanding Volume
August
IXL Practice
(Each IXL activity contains an example problem and a video demonstrating how to solve a problem.)
Finding Volume (7:50)
Finding Volume (3:20) Study Jams
Finding Volume (Music) (1:54) NumberRock
Finding Volume with Unit Cubes (5:35)
Finding Volume of Irregular Figures (3:42)
Finding Volume of Composite Rectangular Prisms (9:25)
Finding Volume of Composite Rectangular Prisms (3.47)
You should be able to . . .
Properties of Volume
identify volume as an attribute of solid figures.
explain 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.
explain 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.
Volume of Right Rectangular Prisms
measure volumes in 3-D shapes by counting unit cubes. (cubic cm, cubic in, cubic ft, and improvised units)
create a 3-D shape with a specific volume.
find the volume of an irregular 3-D shape.
determine the volume of a figure given the top, side, and/or front view.
Unit 2: Multiplication
August - September
IXL Practice
(Each IXL activity contains an example problem and a video demonstrating how to solve a problem.)
Multiplication
IXL Lessons
Multiplying 2-Digit Numbers
Multiplying 2-Digit Numbers
Multiplying 2-Digit Numbers
Multiplying 2-Digit Numbers
Estimating by Rounding when Multiplying
Estimating by Rounding when Multiplying
Multiplying 3-Digit Numbers
Multiplying 3-Digit Numbers
Games & Activities:
You should be able to . . .
Multiplication
solve real-life story problems (whole numbers only) multiplying multi-digit whole numbers using the standard algorithm.
use a variable to represent the unknown quantity in real life problem-solving scenario
solve for a variable in an equation and a real-life problem-solving scenario
match/write expressions/equations to match word problems (with variables for the unknown).
multiply multi-digit whole numbers using the properties of operations.
assess the reasonableness of the answer using estimation.
analyze the accuracy of the multiplication used to solve a problem.
Unit 2: Division
August - September
IXL Practice
(Each IXL activity contains an example problem and a video demonstrating how to solve a problem.)
Division
D.4 Divide multi-digit numbers by 1-digit numbers: word problems 5DE
D.14 Divide 2-digit and 3-digit numbers by 2-digit numbers HMA
D.15 Divide 2-digit and 3-digit numbers by 2-digit numbers: word problems AJW
D.17 Divide 4-digit numbers by 2-digit numbers: word problems J8L
IXL Lessons
Estimating Quotients Using Compatible Numbers
Estimating Quotients Using Compatible Numbers
You may start the video at 1:10.Dividing by Two-Digit Numbers
Dividing by Two-Digit Numbers
Dividing by Two-Digit Numbers
Dividing by Two-Digit Numbers (Start at 5:12)
Long Division
Long Division
Interpreting Remainders
Dividing using Base 10 Blocks
Dividing using the Rectangular Array Box Method
Dividing using the Partial Quotients Method
Dividing using the Partial Quotients Method
Dividing using the Partial Quotients Method
Dividing using the Partial Quotients Method
Dividing using the Partial Quotients Method
Games & Activities:
You should be able to . . .
Division
solve and create real-life story problems using partial quotients with whole numbers with up to four-digit dividends and a two-digit divisor.
use a variable to represent the unknown quantity in real life problem-solving scenario
match/write expressions/equations to match word problems (with variables for the unknown).
solve for a variable in an equation and a real-life problem-solving scenario
assess the reasonableness of the answer using estimating or multiplication.
analyze the accuracy of the division used to solve a problem.
Unit 3: Addition & Subtraction of Fractions
September - October
IXL Practice
(Each IXL activity contains an example problem and a video demonstrating how to solve a problem.)
Adding Fractions with Common Denominators (4:34)
Subtracting Fractions with Common Denominators (4:34)
Adding Fractions with Unlike Denominators (7:39)
Adding Fractions with Unlike Denominators (7:23)
Subtracting Fractions with Unlike Denominators (8:37)
Adding Three Fractions with Unlike Denominators (4:34)
Adding Mixed Numbers with Common Denominators (2:52)
Adding Mixed Numbers (9:03)
Adding Mixed Numbers with Unlike Denominators (5:07)
Subtracting a Mixed Number from a Mixed Number (3:26)
Simplifying Fractions (song) (3:26) NumberRock
You should be able to . . .
distinguish between whole numbers, fractions, and mixed numbers.
use benchmarks (0, 1/2,1) and number sense of fractions to assess the reasonableness of answers. (e.g., recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2).
add and subtract fractions, improper fractions, and mixed numbers with unlike denominators in real-world problems using: concrete models (i.e. fraction bars, circles), area models (squares, rectangles), number lines, finding common denominators (equivalent fractions), and connect the models to the algorithm.
simplify final sums and differences. (Divisibility rules can help with simplifying)
use the commutative and associative properties to add fractions/mixed numbers.
use estimation to assess the reasonableness of the problems.
assess the accuracy of subtraction problems by checking it with addition.
analyze the accuracy of the addition and subtraction used to solve a problem.
create addition and subtraction story problems.
use a variable to represent the unknown quantity in real-life problem-solving scenario (vary unknown positions).
solve for a variable in an equation and a real-life problem-solving scenario (vary unknown positions).
Unit 4: Representing Algebraic Thinking
October
IXL Practice - Coming Soon
(Each IXL activity contains an example problem and a video demonstrating how to solve a problem.)
You should be able to . . .
compare and contrast an expression and an equation.
numerical expression (includes a number and operation, no equal sign) e.g. 3 + 4
equation (a mathematical sentence that says two things are equal) e.g. 3 + 4 = 7
translate a written phrase into a numerical expression.
⅓ less than 12: 12 - ⅓
the quotient of 12 and 6: 12÷6
take 2 away from 3 more than 8: (8+3) - 2
9 times (8 minus 2): 9 x (8-2) or 9(8-2)
the quotient of 6 and 2, times 8: 6 ÷ 2 x 8
translate a numerical expression into a written phrase.
½ + 5 is add five to one half
(7 + 4) ÷ 2 is (the sum of 7 plus 4) divided by 2
Ex. 5 - 4
“five minus four,”
“five take away four”
“four taken away from five”
“the difference of five and four”
“five subtract four”
“four subtracted from five”
solve expressions with grouping symbols in order of parentheses, brackets, then braces.
work from the inside out
(26 + 18) ÷ 4
{12 – [(3+1) ÷2]} x 2
6 – (½ + ⅓ )
determine if translations of verbal and numerical phrases are correct or not and justify reasoning.
Unit 5: Place Value of Decimals
November
IXL Practice - Coming Soon
(Each IXL activity contains an example problem and a video demonstrating how to solve a problem.)
You should be able to . . .
Place Value of Whole Numbers and Decimals with Problem Solving
distinguish and recognize the difference between whole numbers and decimals.
read and write decimals to thousandths using concrete models (base-ten blocks), base-ten numerals, number names (ex. 2.51 = two and fifty-one hundredths, not 2 point five one), and expanded form
decompose decimals in a variety of ways. (ex. 15 tenths = 1 whole and 5 tenths and 261 hundredths = 2 wholes and 61 hundredths)
explain 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. (whole numbers & decimals)
explain what an exponent means (the number of times you multiply by 10).
103 = 10 x 10 x 10
3 x 103 = 3 x (10 x 10 x 10)
write and evaluate repeated factors in exponent form with factors of 10. (Exponents are only used with 10 as the base number.)
whole numbers (ex. 5 x 103 and 546 ÷ 103)
decimals (ex. 1.5 x 102 and 1.5 ÷ 102)
Compare Decimals
compare two decimals to thousandths based on meanings of the digits in each place using <, >, and = to record the comparisons.
Round Decimals
round decimals to any place within thousandths using place value understanding number lines and the standard method
Unit 6: Multiplying Fractions
November - December
IXL Practice
(Each IXL activity contains an example problem and a video demonstrating how to solve a problem.)
Multiplying a Fraction by a Fraction (5:41)
Multiplying a Fraction by a Fraction (3:26)
Multiplying a Fraction by a Fraction (song) (3:26) NumberRock
Multiplying a Fraction by a Whole Number (5:15)
Multiplying Fractions Using Cancellation (8:04)
Unit 7: Dividing Fractions
December
IXL Practice
(Each IXL activity contains an example problem and a video demonstrating how to solve a problem.)
N.2 Divide unit fractions by whole numbers GXY
N.3 Divide whole numbers by unit fractions using models VDU
N.4 Divide whole numbers by unit fractions 3L9
N.5 Divide unit fractions and whole numbers using area models A7W
N.6 Divide unit fractions and whole numbers SPB
N.7 Divide unit fractions and whole numbers: word problems G2N
N.8 Divide fractions by whole numbers FKT
N.9 Divide whole numbers by fractions RHL
Dividing a Fraction by a Fraction (5:12)
Dividing a Fraction by a Fraction (4:27)
Dividing a Fraction by a Fraction (song) (4:27) NumberRock
Dividing a Fraction by a Fraction (5:41)
Dividing a Whole Number by a Fraction (4:32)
Dividing a Mixed Number by a Fraction (7:10)
Dividing Mixed Numbers and Fractions (7:33)
Dividing a Mixed Number by a Mixed Number (7:16)
Unit 8: Volume
January
IXL Practice - Coming Soon
(Each IXL activity contains an example problem and a video demonstrating how to solve a problem.)
Divisibility Rules
Math Manipulatives
Quizizz: Multiplication Facts
Estimating Quotients Using Compatible Numbers
Interpreting Remainders