Download Grade 5 Mathematics Curriculum 1. Decimal numbers

Grade 5 Mathematics Curriculum
North Jersey Arts and Science Charter Schools
2014-2015
Unit 2 Summary: Decimals and Decimal Operations
Essential Questions
1.
2.
3.
4.
5.
6.
What is the relationship between decimals and fractions?
How can we read, write, and represent decimal values?
How are decimal numbers placed on a number line?
How can rounding decimal numbers be helpful?
How can you decide if your answer is reasonable?
How do we compare decimals?
Big Ideas
1. Decimal numbers are simply another way of writing
fractions. Both notations have value. Maximum flexibility is
gained by understanding how the two symbol systems are
related.
2. The base-ten place-value system extends infinitely in
two directions: to tiny values as well as to large values.
Between any two consecutive place values, the ten-to-one
ratio remains the same.
3. The decimal point is a convention that has been
developed to indicate the unit’s position. The position to
the left of the decimal point is the unit that is being counted
as singles or ones.
4. Addition and subtraction with decimals are based on the
fundamental concept of adding and subtracting the
numbers in like position values---a simple extension from
whole numbers.
Learning Outcomes (CCSS)
Grade 4 Curriculum
Unit 4: Division
Unit 2 Summary: Decimals and Decimal Operations
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.2 - Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and
explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use
whole-number exponents to denote powers of 10.
5.NBT.A.3 - Read, write, and compare decimals to thousandths.
5.NBT.A.3.A - 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.3.B - 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.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.
Local Standards (LS) #10-17 are taught in this unit.
Prior Knowledge Expected
• Mastery: add, subtract, multiply, and divide whole numbers
• Basic: recognize and explain patterns
• Familiarity: Understanding decimals and place value
Assessment Summary
1. End-of-Unit Assessment (LS #10-17)
(Scope and Sequence on the next page)
Grade 4 Curriculum
Unit 4: Division
Unit 2 Scope and Sequence: Decimals and Decimal Operations
Periods*
CCSS
LS
Student Friendly Language
Resources
Textbook
Lesson 1-6
engage NY à
https://content.engageny.org/fi
le/39281/download/math-g5m1-topic-a-lesson1.docx?token=O_f99kh2UCi
WKdG56YFi-F9bhVoqAZUwYbOk3xI7iY or
1
5.NBT.2
S11
Explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Links
Multiplying decimals by
powers of 10
Dividing decimals with powers
of 10
1
5.NBT.3
S12
Other
engageNY M1 L5
Georgia Unit 2
Assessment
Quick Check 1-6
Textbook
Lesson 1-2,1-3, and 1-4
http://www.fwps.org/tfl/wpcontent/uploads/sites/3/2014/06/
Check-This-Task-and-RubricModule-1.pdf?ad4c6c
Read and write decimals to thousandths.
Links
Representing Decimals
with Base 10 Blocks
Grade 4 Curriculum
Unit 4: Division
1
1
5.NBT.
3
5.NBT.4
Grade 4 Curriculum
S13
S14
Other
engageNY M1 L5
Georgia Unit 2
Assessment
Quick Check 1-2, 1-3, and 1-4
Textbook
Lesson 1-5
Links
http://www.fwps.org/tfl/wpcontent/uploads/sites/3/2014/06/
Check-This-Task-and-RubricModule-1.pdf?ad4c6c
or
Comparing Decimals
Compare decimals to thousandths.
Use place value understanding to round decimals to any place. Other
engageNY M1 L6
Georgia Unit 2
Assessment
http://www.fwps.org/tfl/wpcontent/uploads/sites/3/2013/12/
Snapshot-Assessment5.NBT_.31.pdf?ad4c6c
Quick Unit 1-5
Textbook
Lesson 2-2 and 2-3
Links
Rounding Decimals
Other
engageNY M1 L7 and M1 L8
Georgia Unit 2
Assessment
http://www.fwps.org/tfl/wpcontent/uploads/sites/3/2013/12/
Snapshot-Assessment5.NBT_.4.pdf?ad4c6c
Quick Check 2-2 and 2-3
Unit 4: Division
Unit 2 Scope and Sequence: Decimals and Operations with Decimals
Periods*
CCSS
LS
Student Friendly Language
Resources
Textbook
Links
1
5.NBT.7
S15
Add and subtract decimals to hundredths, with and without models
Other
1
5.NBT.
7
S16
Multiply decimals to the hundredths, with and without visual representation.
Base 10 Building with
Decimals or
Decimal Bag Addition or
Decimal Bag Subtraction
Decimal Subtraction Spin
and
decimal addition bingo
engageNY M1 L9 (add) and
M1L10 (subtract)
Georgia Unit 2
Assessment
http://www.fwps.org/tfl/wpcontent/uploads/sites/3/2013/12/5
.NBT_.7_Adding-andSubtracting.pdf?ad4c6c
Quick Checks Lesson 2 (all)
Textbook
Lesson 6 (all)
Links
Other
Grade 4 Curriculum
Lesson 2 (all)
Decimal Speedway
engageNY M1 L2 and M1 L11
and L12
Georgia Unit 3
Quick Check Lesson 6 (all)
Unit 4: Division
Assessment
Textbook
Lesson 7 (all)
Division Decimals Game
Links
1
5.NBT.7
S17
Divide decimals to the hundredths, with and w
http://www.fwps.org/tfl/wpcontent/uploads/sites/3/2013/12/
Snapshot-Assessment5.NBT_.7_Module_2_Part_1.pdf?
ad4c6c
or
http://www.fwps.org/tfl/wpcontent/uploads/sites/3/2014/06/5
.NBT_.7_Part-2_Module.pdf?ad4c6c
Other
engageNY M1 L13, 14, 15, 16
Georgia Unit 3
Assessment
http://www.fwps.org/tfl/wpcontent/uploads/sites/3/2013/12/5
.NBT_.7_Multiply-andDivide.pdf?ad4c6c
Lesson 7 Quick Check (all)
Textbook
5.NBT.7
S18
Relate the strategy to a written method and explain the reasoning used. How do we proceed with this?
Links
Other
Assessment
Grade 4 Curriculum
Unit 4: Division