Math

Unit 1

(1) Place Value, Addition, and Subtraction

I can persevere when approaching a new task and try different strategies.
I can explain my thinking using pictures, numbers, and words.
I can use base-ten concepts to explain the value of numbers.
I can read, write and compare multi-digit whole numbers.
I can round multi-digit whole numbers to any place and explain my reasoning.
I can add and subtract multi-digit numbers using the standard algorithm.

Vocabulary

estimation
equation
whole number
number name
expanded form
standard form
round
place value
value
standard algorithm
compute
calculate
open number line

Helpful Videos

Adding on an Open Number Line

Subtracting on an Open Number Line

Trades First Subtraction Algorithm

Unit 2

(2) Patterns, Multiplication, and Division

I attend to precision when I show my work using pictures, numbers and words.
I know multiplication facts and related division facts 12 x 12.
I can demonstrate an understanding of factors, multiples, primes and composites.
I can extend and analyze number and shape patterns to solve problems.
I can write a number sentence with a variable to represent a problem.

Vocabulary

estimation
factor
factor pairs
multiples
prime
composite
dividend
divisor
quotient
diagram
remainder
sequence
area model
equation
open sentence
unknown
variable
multiplicative comparison
growing pattern
table

Unit 3

(3) Estimation and Partial Products

I can use the distributive property and the base-ten structure of numbers to explain and show multiplication strategies.
I can model and explain multiplication using an open array and partial products.
I can use multiplication and division with whole numbers to solve problems.
I can use a number line to demonstrate my understanding of rounding whole numbers.
I know multiplication facts and related division facts 12 x 12.

Vocabulary

estimation
factor
factor pairs
multiples
partial-products
number names
expanded form
area model
open array
equation
round
place value
relationship
ten thousands
hundred thousands
millions

Unit 4

(4) Perimeter and Area

I can apply the area and perimeter formulas for rectangles in real-life examples.
I can decompose shapes into rectangular parts to find the area of the shape.
I can attend to precision when labeling answers with the appropriate unit.
I can represent the context of an area and perimeter word problem using a variety of models (graph paper, square tiles, open array).
I can make sense of problems and persevere when a problem has more than one solution.

Vocabulary

area
perimeter
equation
expression
unknown
variable
formula
length
width
dimensions
array
units
square units
tiling

Unit 5

(5) Division

I can explain partial quotients by reasoning about the relationship between multiplication and division.
I can divide 4-digit numbers by 1-digit numbers using partial quotients.
I can show and explain my work for solving multi-step word problems.
I can explain the meaning of remainders and reason about them in different contexts.

Vocabulary

estimation
factor
factor pairs
multiples
divisor
dividend
quotient
remainder
partial-quotients algorithm
diagram
area model
equation
expression
unknown
variable

Helpful Videos

Partial Quotients Division

Unit 6

(6) Context Unit: Fractions

I can show and explain my thinking about fractions with visual models, numbers, and words.
I can decompose a fraction into a sum of fractions with the same denominator in more than one way (3/8 = 1/8 + 2/8 = 1/8 + 1/8 + 1/8).
I can use different strategies to solve the same problem.
I can listen to and interpret the strategies of others and make connections.
I can solve real world story problems involving fraction by using a variety of strategies.

Vocabulary

estimation
distribution
division
diagram
model
equation
equivalent fractions
mixed number
improper fraction
ratio table
whole
unit fraction
fraction model

Unit 7

(7) Operations with Fractions

I can show and explain why fractions are equivalent by using a visual fraction models.
I can attend to precision when I compare and order fractions by using benchmark fractions and common denominators.
I can add and subtract fractions and mixed numbers with like denominators using different models.
I can multiply a fraction by a whole number by using a visual fraction model and then record the equation.
I can create a line plot to display a data set involving fractions of a measurement unit.
I can use a line plot to solve fraction word problems involving addition and subtraction.

Vocabulary

estimation
distribution
division
diagram
model
equation
equivalent fractions
mixed number
improper fraction
ratio table
whole
unit fraction
fraction model

Unit 8

(8) Fractions and Decimals

I can show and explain why fractions are equivalent by using visual fraction models.
I can read and write multi-digit whole numbers and decimals.
I can represent decimals using expanded form, base ten blocks, the number line and other visuals
I can compare numbers to the hundredths by reasoning about their size (>, <, =)
I can use decimal notation for fractions with denominators of 10 or 100.
I can add fractions with denominators of 10 and 100 by reasoning about fraction equivalence.
I can compare fractions and decimals using place value and models (base-ten blocks and grids).

Click Here for Unit 8 Practice Problems.

Vocabulary

multiples
area model
fraction model
visual model
diagram
equation
whole
equivalent fractions
mixed number
improper fractions
decimal
tenths
hundredths
whole number
unit fraction
compare (<, >, =)

Unit 9

(9) Measurement Conversions

I can solve problems involving measurement and show my thinking using numbers, pictures, and words.
I can attend to precision when I convert measurements within one system.

Vocabulary

pound
ounce
kilogram
gram
conversion
inches
feet
yard
kilometer
meter
centimeter
millimeter
capacity
mass
liter
milliliter
hour
minute
second

Unit 10

(10) Naming and Constructing Geometric Figures

I can draw and identify points, lines, line segments, rays, angles, and perpendicular and parallel lines in isolation and in 2-dimensional shapes.
I can classify shapes based on their properties (i.e. number of sides, parallel lines, angles) and explain similarities and differences.
I can attend to precision when I measure and draw angles with a protractor.
I can find unknown angles using a variety of strategies.

Vocabulary

angle
ray
endpoint
vertex (vertices)
points
lines
line segment
degrees
protractor
classify
geometric shapes
attribute
right angle
acute angle
obtuse angle
reflex angle
straight angle
perpendicular lines
parallel lines
adjacent
right triangle
line of symmetry
polygon
quadrangle
quadrilateral
rhombus
pentagon
parallelogram
trapezoid
hexagon
octagon
kite
rotate
turn (ie -1/4 turn - 90 degrees, 1/2 turn - 180 degrees)

Unit 11

(11) Symmetry

I can identify a line of symmetry in a two-dimensional figure.
I can describe why a figure is, or is not, symmetrical.
I can attend to precision when I draw all lines of symmetry.