Download Place Value, Addition, and Subtraction Big Idea: The position of a

Place Value, Addition, and Subtraction
Big Idea: The position of a digit determines its value + & - of multi digit #’s is based on basic
facts and base 10 and place value concepts
Lessons:
SF: Pages 4-5
Date:
NS 1.0
SF: Pages 10-12
NS 1.1
NS 1.1
SF: Pages 16-18 (only whole
numbers)
SF: Pages 52-54
NS 1.0
SF: Pages 60-63
NS 1.0
SF: Pages 52-54
NS 1.2
SF: Pages 55-57 (only
addition and subtraction)
9/2—9/9/13
Standard:
NS 1.0
Objective:
Read and write whole
numbers to billions
Use place value and number
lines to compare and order
whole numbers
Round whole numbers to a
given place value.
Use rounding to estimate
sums and differences.
Add and subtract whole
numbers.
Use mental math to add or
subtract.
Write and evaluate addition
and subtraction expressions.
Essential Question:
What is the value of each
digit in 6,534,703,115?
How can you place value to
compare and order whole
numbers?
When would you round
whole numbers?
What ways can you estimate
sums and differences?
Where do you start when
adding or subtracting whole
numbers?
What mental math strategies
can you use to add or
subtract whole numbers?
How do you evaluate
expressions with variables?
Quiz on previously taught concepts
Place value: Understand Decimals
NS 1.0
SF: Pages 8-9
NS 1.0
SF: Pages 10-12
NS 1.0
SF: Pages 10-12 and 16-18
9/16-9/27
Big Idea: The place values to the right of the decimal point in the base ten system name
numbers less than one.
Read and write decimals
through hundredths.
Use models to understand,
read, and write decimals to
thousandths.
Identify and write equivalent
decimals.
What is the value of 3 in
21.53?
How can I use patterns in
place value to understand
decimals?
How can models help you see
equivalent decimals?
NS 1.2
NS 1.5
Students must understand
that 0.4 = 0.4000 etc.
SF: Pages 272-273
SF: Pages 10-12 (only
decimals)
Understand and write
decimals as fractions and
mixed numbers with tenths
and hundredths.
Use models and place value
to compare and order
decimals.
Quiz on previously taught concepts
What operations are used to
change 3/10 to 30/100?
What methods can you use
to compare and order
decimals?
Multiply Whole Numbers
NS 1.1
SF: Pages 134-136
NS 1.1
SF: Pages 138-139
AF 1.3
SF: Pages 126-127 & 128-129
NS 1.0
SF: Pages 140-142 (One Digit
numbers only)
SF: Pages 140-142 (Two digit
numbers only)
SF: Pages 140-142 & 146-147
NS 1.0
NS 1.0
9/30-10/11
Big Idea: Multiplication of multi-digit whole numbers is based on place value and the basic
multiplication facts.
Multiply basic facts with
multiples of 10 using mental
math and patterns of zero.
Estimate products by
rounding and using the
expanded form of numbers.
Model multiplication using
the distributive property.
Multiply by 1 digit number.
Multiply by a 2 digit number.
Practice multiplication by 1
and 2 digit numbers.
How can basic facts with
multiples of 10 using mental
math and patterns of zero
help you find products?
When would each method of
estimating products be used?
How do you use the
distributive property to
multiply?
What methods do you have
to multiply.
How are the two methods to
multiply similar?
How is multiplying a 2 digit
number different than
multiplying by a 1 digit
number?
Quiz on previously taught concepts
Divide by 1 and 2 digit divisors
NS 1.1
SF: 170-171
NS 2.2
NS 2.2
SF: Pages 172-174 (One digit
numbers only)
SF: Pages 168-169
NS 1.1
SF: Pages 168-169 & 170-171
NS 2.2
SF: Pages 172-174 (Two digit
numbers only) & Pages 178179 & 182-183
SF: Pages 172-174, 178-179,
182-183, & 184-186
SF: Pages 130-131 & 196-197
NS 2.2
AF 1.2
10/14-10/25
Big Idea: Division of multi digit #’s by a 1 or 2 digit divisor is based on place value and the basic
multiplication and division facts.
Estimate quotients by using
compatible numbers and
rounding.
Divide by 1 digit divisors
Use patterns to divide.
Estimate quotients using
compatible numbers.
Divide by 2 digit numbers.
Practice division by 1 and 2
digit divisors.
Write and evaluate
expressions.
Quiz on previously taught concepts
How can you use compatible
numbers to estimate
quotients?
What is the algorithm for
division?
What kinds of patterns do
you see in division?
Why do you need to know
compatible numbers to
estimate?
How is the algorithm
expanded for dividing by 2
digit divisors?
What are the steps to divide
whole numbers?
How do you evaluate
expressions?
Number Theory
NS 1.4
NS 1.3
SF: Pages 258-259 & Pages
260-262 & Pages 264-265 &
Pages 266-267
SF: Pages 148-149
NS 1.3
SF: Pages 260-262
NS 1.4
SF: Pages 260-262
10/28-11/8
Big Idea: The study of number theory builds understanding of factors, exponents, and prime and
composite numbers.
Identify factors and tell
whether a number is a prime
or composite.
Write and evaluate powers of
10.
Write and evaluate repeated
factors in exponent form and
identify square numbers.
Find and write prime
factorization of a number
using exponents.
How are prime and
composite numbers related?
What is an exponent?
Square numbers are related
to what exponent?
How can you find the prime
factorization of a number?
Quiz on previously taught concepts.
Math Qtr. 1 Review week of 11/11-11/15 Test on 11/15
Fraction Concepts
NS 1.5
SF: Pages 274275
NS 2.3
SF: Page 276-277
NS 1.5
SF: Pages 282-283
NS 1.0
SF: Pages 278-279 & 284-286
NS 1..2
SF: Pages 272-273
NS 1.5
11/18-12/6
Big Idea: Fractions and mixed numbers can be expressed in equivalent forms and can be
compared and ordered.
Identify and write equivalent
fractions.
Write fractions in simplest
form.
Rename fractions > than 1 as
mixed numbers and mixed
numbers as fractions as >
than 1.
Compare and order fractions
and mixed numbers.
Relate fractions and decimals
that name tenths,
hundredths, and thousandth.
SF: Pages 10-12 & Pages 284Identify, represent, and order
286
decimals, fractions, and
mixed numbers on a number
line.
Quiz on previously taught concepts
What does it mean for two
fractions to be equivalent?
How do you know a fraction
is in simplest form?
How are fractions, whole
numbers, and mixed
numbers related?
How does comparing
fractions help you order
fractions?
What models help you relate
decimals and fractions?
How does a number line help
you relate fractions and
decimals?
Add and subtract like fractions
NS 2.3
NS 2.3
SF: Pages 308-310 & Pages
311-313 (Only fractions)
SF: Pages 308-310 & Pages
311-313 (Only fractions)
12/91/10
Big Idea: Addition and subtraction of like fractions are based on understanding equivalent
fractions.
Model addition and
subtraction of like fractions.
Add and subtract like
fractions.
How do fraction bars model
addition and subtraction?
How do you add and subtract
like fractions?
NS 2.3
NS 2.3
SF: Pages 308-310 & Pages
311-313 (Only mixed
numbers)
SF: Pages 308-310 & Pages
311-313 (Only mixed
numbers)
Add and subtract like mixed
numbers.
How do you add and subtract
like mixed numbers?
Subtract mixed numbers with
renaming.
When do you need to
rename fractions?
Quiz on previously taught concepts
NS 2.3
SF: Pages 134-136
NS 2.3
SF: Pages 134-136
NS 1.1
SF: Pages 316-317
NS 2.3
SF: Pages 318-319 & Pages
320-321
NS 2.3
SF: Pages 318-319 & Pages
320-321
1/13-1/17
Add and subtract unlike fractions
Use a basic fact and pattern
to multiply mentally by
multiples of 10, 100, and
1,000.
Multiply 2 digit numbers by
multiples of 10.
Estimate products by
rounding factors and
compatible numbers then
finding the product mentally.
Use a common denominator
to add and subtract unlike
fractions.
Use the least common
denominator to add and
subtract fractions.
Quiz on previously taught concepts
What are some multiplication
patterns?
What is different when
multiplying by tens, versus
multiplying by ones?
How do basic multiplication
facts help to estimate
products?
How does using a least
common denominator differ
from using any common
denominators?
How do you use the least
common denominator to find
sums and differences?
Add and subtract mixed numbers
NS 2.3
SF: Pages 322-323
1/1
31/1
7
Big Idea: Addition and subtraction of mixed numbers are based on understanding of equivalent
fractions
Model addition of mixed
numbers.
How do you add mixed
numbers using fraction bars?
NS 2.3
SF: Pages 324-326
NS 2.3
SF: Pages 322-323 & Pages
324-326
NS 2.3
SF: Pages 324-326
Model subtraction of mixed
numbers.
Find the sums and
differences of mixed
numbers.
Model subtraction of mixed
numbers by using renaming.
Quiz on previously taught concepts
Find the sums and
differences of mixed
numbers?
What ways can you find the
sum and difference of mixed
numbers?
How does renaming fractions
extend to mixed numbers?
Multiply and Divide Fractions
Big Idea: Multiplication of fractions involves finding part of a part of the whole; division of
fractions is related to repeated subtraction and can be shown with models.
SF: Pages 330-332
NS 2.4
SF: Pages 330-332
NS 2.4
SF: Pages 336-337 (Only
multiplication)
NS 2.4
SF: Pages 336-337
NS 2.4
SF: Pages 334-335
NS 2.4
SF: Pages 334-335
Use models to multiply
fractions.
Solve problems by
multiplying fractions.
1/20-1/31
NS 2.4
Solve problems by
multiplying fractions and
whole numbers.
Multiply two mixed numbers.
Model fraction division.
Divide with fractions.
Quiz on previously taught concepts
Add and subtract decimals
How do you multiply
fractions using a model?
How does multiplying
fractions using paper and
pencil relate to using a
model?
How do you multiply
fractions and whole
numbers?
What previously learned
fraction and mixed number
strategies help find products?
How is the concept of
division modeled with
fractions?
What ways can you divide
fractions?
Big Idea: Addition and subtraction of decimals are based on place value and addition and
subtraction with whole numbers.
SF: Pages 8-9 & Pages 10-12
& Pages 16-18
Round decimals to a given
place value.
NS 2.1
SF: Pages 63-65
Find the sums and
differences of decimals.
NS 2.1
SF: Pages 63-65 & Pages 6667
NS 2.0
SF: Pages 63-65 & Pages 6667
2/3-2/27
NS 1.1
Using rounding to estimate
sums and differences of
decimals.
Use mental math to add and
subtract decimals.
How is rounding decimals like
or different from rounding
whole numbers?
How is adding and
subtracting decimals like or
different than adding and
subtracting whole numbers?
What are different ways to
estimate?
What steps do you take to
find the sums and differences
mentally?
Quiz on previously taught concepts.
Multiply Decimals
Big Idea: Multiplication of decimals is based on place value and multiplication with whole
numbers.
SF: Pages 216-217
NS 2.1
SF: Pages 214-215
NS 2.1
SF: Pages 222-224
NS 1.1
SF: Pages 218-219
NS 2.1
SF: Pages 222-225
NS 2.1
SF: Pages 226-227
Use models to multiply whole
numbers and decimals.
2/10-2/14
NS 2.1
Use patterns in decimals
factors to find products.
Model multiplication of
decimals.
Estimate products of
decimals.
Place the decimals point in
multiplications.
Multiply decimals with zero
in the product.
How is multiplying with
decimals like or different
from multiplying whole
numbers?
How do patterns help find
products with decimals?
How do the models show
multiplication of decimals?
What ways can you estimate
decimals?
What ways can you place the
decimal point?
Which method of placing the
decimal is necessary when
multiplying with zeros?
Quiz on previously taught concepts.
Divide Decimals
Big Idea: Division of decimals by whole numbers and by decimals is based on the place value
and division and multiplication with whole numbers.
NS 2.2
SF: Pages 232-234
NS 1.1
NS 2.2
SF: Pages 230-231
SF: Pages 235-237
NS 2.1
SF: Pages 235-237
NS 2.1
SF: Pages 230-231
2/17-2/21
Use models to divide
decimals by whole numbers.
Estimate decimals quotients.
Divide decimals by whole
numbers.
Use models to divide
decimals by decimals.
Find patterns in division of
decimals.
Quiz on previously taught concepts.
Math Qtr. 2 Week of 2/24-2/28
How do I divide decimals?
How do I divide decimals?
How do I divide decimals by
whole numbers?
How do I divide decimals?
How do I divide decimals?
Algebra expressions and equations
AF 1.2
SF: Pages 44-45 & Pages 4647 & Pages 55-57
AF 1.2
SF: Pages 58-59
AF 1.2
SF: Pages 44-45 & Pages 4647 & Pages 55-57 & Pages 5859
SF: Pages 126-127 & Pages
128-129
AF 1.3
NS 1.0
SF: Pages 132-133 & Pages
134-136
3/3-3/7
Big Idea: Properties and the concepts of algebra are used to evaluate expressions and solve
equations for all four operations.
Write numerical and
algebraic expressions for
word expressions.
Write equations for word
problems.
Write and solve equations.
What are the components of
an expression?
Use the distributive property
in equations and expressions
with variables.
Use the properties and
mental math to solve
problems.
How can you demonstrate
the distributive property/
What relationship do
equations show?
What tools can you use to
solve equations?
How do the properties help
to answer questions?
Quiz on previously taught concepts.
Algebra: Integers
NS 1.5
SF: Pages 360-361
NS 1.5
SF: Pages 362-363
NS 2.1
SF: Pages 364-365
NS 2.1
SF: Pages 364-365
NS 1.5
SF: Pages 366-368
NS 2.1
SF: Pages 366-368
3/10-3/14
Identify and represent
integers, their opposites, and
their absolute values.
Identify, compare, and order
integers.
Use counters and number
lines to model the addition of
integers.
Find and record the sum of
integers.
Use counters and number
lines to model the
subtraction of integers.
Find and record the
difference of integers?
How are integers related to
whole numbers?
How do you compare and
order integers?
How is adding integers like
adding and subtracting whole
numbers?
How would you add -15 + 13?
How is subtracting integers
like adding and subtracting
whole numbers?
How is subtracting integers
like adding and subtracting
whole numbers?
Quiz on previously taught concepts.
Percent
NS 1.2
SF: Pages 512-513
NS 1.2
SF: Pages 516-517
NS 1.5
NS 1.2
SF: Pages 518-519
3/17-3/21
Big Idea: Percents can be expressed as fractions and decimals.
Model, read, and write
percents.
Write equivalent forms of
fractions, decimals, and
percents.
Identify, represent, and order
fractions, decimals, and
percents on a number line.
Use a model to find the
percent of a number.
How do you model percents?
How do fractions, decimals,
and percents relate to each
other?
What form do fractions,
decimals, and percentages
need to be in order to
compare and order them on
a number line?
How do you model percent of
a number?
NS 1.2
SF: Page 516-517
SDAP 1.3
SF: Pages 192-193 (as
examples)
Solve three types of percents
problems.
Compare data sets of
different sizes using percents.
Quiz on previously taught concepts.
What ways can you solve
percent problems?
How do you compare data
sets of different sizes?
Geometric Figures
MG 2.1
SF: Pages 402-404
MG 2.1
SF: Pages 405-407
MG 2.1
SF: Pages 418-420
MG 2.0
SF: Pages 408-410
MG 2.2
3/24-4/11
Big Idea: Points, lines, planes, and their classifications and relationships are the building blocks
of geometry: two-dimensional figures can be classified according to their geometric properties.
Identify and use the concepts
of line, point, and angles.
Estimate, measure, and draw
angles.
Draw parallel and
perpendicular lines.
Identify, classify, and draw
polygons.
SF: Pages 418-420 & Pages
Find the sum of angles in
421-423
triangles and in
quadrilaterals.
Quiz on previously taught concepts.
How are points, lines, and
angles related?
Is a protractor needed both
to estimate and measure
angles?
How is each tool used to
construct parallel and
perpendicular lines?
How do you classify and draw
various polygons?
What relationship among
polygons can be seen?
Plane and solid figures
Big Idea: Two and three dimensional figures can be classified according to their geometric
properties.
MG 2.2
SF: Pages 414-416
MG 2.2
SF: Pages 408-410 & Pages
418-420
3/24-4/11
Identify, describe, and
classify types of triangles.
Identify, describe, and
classify quadrilaterals.
What two aspects of a
triangle are used for
classification?
What qualities are
quadrilaterals classified by?
MG 2.1
MG 2.0
SF: Pages 408-410 & Pages
418-420
SF: Pages 434-437
Draw and identify triangles
and quadrilaterals.
Identify and make nets for
solid figures.
What tools are used to draw
triangles and quadrilaterals?
How are plane figures used
to identify nets for solid
figures?
Quiz on previously taught concepts
Geometry and Coordinate Plane
Big Idea: The Coordinate plane can be used to graph functions and equations.
SDAP 1.5
SF: Pages 91-93 & Pages 9495 & Pages 374-376
SDAP 1.5
SF: Pages 98-101 & Pages
102-103
SF: Pages 378-379 & Pages
380-381 & Pages 382-383 &
Pages 384-385
SF: Pages 378-379 & Pages
380-381 & Pages 382-383 &
Pages 384-385
SF: Pages 378-379 & Pages
380-381 & Pages 382-383 &
Pages 384-385
AF 1.4
AF 1.5
AF 1.5
3/24-4/11
Use ordered pairs to graph
and identify points on a
coordinate grid.
Graph relationships from
input-output tables.
Identify and graph integers
on the coordinate plane.
How can you express the
relationship of one number
to another?
How can you graph equations
on a coordinate plane?
How can you identify points
on a coordinate plane?
Solve linear functions with
integer values.
How can you use functions to
solve equations?
Write and graph equations
on a coordinate plane.
How can you graph equations
on a coordinate plane?
Quiz on previously taught concepts
Area
MG 1.0
SF: Pages 475-477
MG 1.4
SF: Pages 475-477
MG 1.4
SF: Pages 472-474
3/244/11
Big Idea: Attributes of two dimensional figures can be measured.
Estimate the area of regular
and irregular figures.
Find the area of squares and
rectangles by using formulas.
Identify how perimeter and
area are related.
How do you estimate
irregularly shaped objects?
How are the area formulas
for squares and rectangles
related?
How are perimeter and area
related in figures?
MG 1.1
SF: Pages 475-477
Model area of triangles.
MG 1.1
SF: Pages 475-477
Find the area of triangles by
using a formula.
MG 1.1
SF: Pages 475-477
Find the area of
parallelograms.
How is the area of a triangle
related to the area of a
rectangle?
When finding the area of a
triangle, where will the
height be found?
How is the area of a
parallelogram related to the
area of other figures?
Surface Area and Volume
SF: Pages 482-483
MG 1.3
SF: Pages 478-480
MG 1.3
SF: Pages 478-480
MG 1.4
SF: Pages 478-480
3/24-4/11
Big Idea: Attributes of three dimensional figures can be measured.
MG 1.2
Find the surface area of a
rectangular and triangular
prism.
Estimate the volume of a
rectangular prism.
Find the volume of a
rectangular prism.
Identify the appropriate
unites of measure for
perimeter, area, and volume.
Qtr. 3 Test on April 11
What do you use to find the
surface area of rectangular
and triangular prisms?
What do you use to estimate
the volume of a rectangular
prism?
What do you use to find the
volume of a rectangular
prism?
How can units tell you what
was measured?