Understanding 5th Grade Math Standards:
5th Grade Math Vocabulary:
Coordinates (x,y)
Coordinates describe a specific location on a grid. Ordered pairs consist of x-coordinates and y-coordinates.
LINE Graphs
Line graphs are graphs that are used to show how data changes over time. The x-axis will show an amount of time, like seconds, days, years, etc.
Now you try...
Look at the line graph to the right.
What data is it showing us? What does the x-axis tell us? What does the y-axis tell us?
How is the data in each city changing over time?
coordinates & numerical patterns
Volume
Volume = length x width x height
The volume of a 3D shape is the amount of space is takes up, or how much can fit inside it.
How do you find the volume of composite figures?
Split the composite figure into 2 prisms. Find the volume of each prism, then add them together!
Order of operations
Multi-step expressions must be solved in a specific order, called the order of operations. Use GEMS to help you remember!
Example:
Expressions
Students will use expressions to solve multi-step word problems.
They will also use their number knowledge to identify relationships between expressions.
Write a numerical expression from a word description or word problem
Comparing the value of 2 expressions
Multiplying whole numbers
DIVIding whole numbers
Fractions
Multiply a Fraction by a Fraction
Interpret fractions as division
Whole number divided by unit fraction
Unit fraction divided by whole number
Decimals
How to Read a Decimal
Comparing decimals
Place Value
What happens to the value of a number when you multiply by 10, 100, or 1000?
What happens to the value of a number when you divide by 10 or 100?
Examples:
23.46 x 10 = 234.6 ➡️ digits move 1 place value to the left
198 ➗ 100 = 1.98 ➡️ digits move 2 place values to the right
19.2 x 100 = 1,920 ➡️ digits move 2 place values to the left
Adding & Subtracting decimals
Using models and place value strategies to add and subtract.
adding & subtracting fractions
Using models to add and subtract fractions with unlike denominators.
Multiplying Whole Numbers using the standard algorithm
Students will understand HOW the algorithm works and make connections between the standard algorithm and other strategies.
Multiplying & dividing Decimals
Students will multiply decimals and whole numbers with a product to the thousandths place.
Students will divide a whole number by a decimal and divide a decimal by a whole number, using repeated subtraction or area models. Decimals are be limited to the hundredths place.
Decimal x Whole with Base 10 Grids
Decimal x Decimal with Area Model
Divide Whole by Decimal with Base 10 Grids
Divide Decimal by Whole with Base 10 grids
classifying quadrilaterals
Students can describe the specific properties of different quadrilaterals.
For example: "This shape is a rectangle because it has ________________________."
Students can also organize quadrilaterals in a hierarchy based on these properties.
