Last updated: 2/12/2024

5th Grade Math Trimester 3

5 Weeks

Geometric Measurement

(1)	5.MD.3	Recognize volume as an attribute of solid figures and understand has concepts of volume measurement.
(1)	5.MD.3.a	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.
(1)	5.MD.3.b	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.
(1)	5.MD.4	Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.
(1)	5.MD.5	Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.
(1)	5.MD.5.a	Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.
(1)	5.MD.5.b	Apply the formulas V = l * w * h and V = b * h for rectangular prisms to find volumes of right rectangular prisms with whole number edge lengths in the context of solving real world and mathematical problems.
(1)	5.MD.5.c	Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.

How can we describe how much space objects take up?

Volume - formula & models

Word Problems

Volume

Cubic units

Understand and demonstrate the volume of a shape by:

Determining the volume by cubic units (count blocks)
Using the formula V=LXWXH to find the volume of a shape
Solve real world problems finding volume
Find the volume of multiple figures by adding individual volumes of each figure

Engageny - Module 5

Engageny Module 4

2 Weeks

Measurement and Data

(1)

5.MD.1

Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.

How are units within a measurement system related to each other?

Which units are most appropriate to use at different times?

Word Problems

Conversions

Convert

Customary System

1. Students are learning to convert standard measurments within a given measurement system.

Ex. Convert 5 cm. to 0.05m

2. Students are learning to solve multi-step, real-world problems

https://docs.google.com/document/d/1o0wv6eEkZr36NleQLP9qHyIYcQvMIrQGQurm-JEdzlc/edit

Module 1 Eureka

1 Week

Classify two-dimensional figures into categories based on their properties.

(1)	NY-5.G.3	Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.
(1)	NY-5.G.4	Classify two-dimensional figures in a hierarchy based on properties.

How can we classify figures based on attributes and properties?

2-Dimension Shapes & their attributes

Two-Demensional Figures

3-D Figures

Attributes

Classify

Students are learning to:

1. Classify 2D figures based on properties.

2. Identify shapes based on attributes and properties of polygons/two-dimensional figures.

Eurkea Module 5

Eureka Module 5 Topic C & D

2 Weeks

Write and Interpret Numerical Expressions

(1)	NY-5.OA.1	Apply the order of operations to evaluate numerical expressions.
(1)	NY-5.OA.2	Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them.

How can we interpret and evaluate expressions using the order of operations?

Expressions

brackets

braces

evaluate

Students are learning to:

Interpret and evaluate expressions.

Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols
Order of Operations
Write simple expressions based on scenario
Interpret expresions without evaluating

Eureka Module 2

Eurkea Module 2

3 Weeks

Graph Points on a Coordinate Plane

(1)	NY-5.G.1	Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the 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, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond.
(1)	NY-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.

What is the relationship between the x- and y-coordinate on a coordinate plane?

Coordinate Planes

Ordered Pairs

Perpendicular Lines

Coordinate System

Ordered Pairs

Axis

Students are learning to:

1. Define and create a coordinate plane.

X- and Y- axises

2. Understand how an order pair relates to each axis

Interpret coordinate plane values in context

3. Graph points in the first quadrant of the coordinate plane.

Eureka Module 6

2 Weeks

Analyze Patterns and Relationships

(1)

NY-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.

How can we represent the connection between two variables?

Numerical Patterns

Ordered Pairs on a graph

Coordinate Plane

Ordered Pairs

Students are learning to:

1. Generate two numerical patterns using two given rules.

Identify relationships between corresponding terms

2. Form ordered pairs consisting of corresponding terms from the two patterns.

3. Graph ordered pairs on a coordinate plane.

Module 6 Eureka