Use decimal notation to represent fractions.
Express, model and explain the equivalence between fractions with denominators of 10 and 100.
Use equivalent fractions to add two fractions with denominators of 10 or 100.
Represent tenths and hundredths with models, making connections between fractions and decimals.
Step 1: Lesson Standards & Learning Goals
This standard is the first time that students explore decimals. They are introduced to decimals through area models for fractions that are equally partitioned into 10 equal parts (tenths) or 100 equal parts (hundredths). Students should have ample opportunities to explore and reason about the idea that a number can be represented as both a fraction and a decimal.
With the second bullet of this standard, students explore how to find an equivalent fraction for both tenths and hundredths to add two fractions. Students are expected to find the sum of two fractions using area models or manipulatives such as base-ten blocks.
In the third bullet, models should focus on area models and number lines partitioned into tenths or hundredths. Students can also make connections between fractions with denominators of 10 and 100 and the place value chart.
Money should not be used as a context since it is a non-proportional representation, meaning that a dime is not ten times larger than a penny. However, introducing tenths (dimes) as representing 10 parts of whole dollar and hundredths (pennies) as representing 100 parts of the whole dollar should be considered as this is a real world application of decimal notation.
How would you compare and order decimals through hundredths?
How is decimal numeration related to whole number numeration?
Denominator
Equivalent
Fraction
Hundredth
Numerator
Sum
Tenth
Express a fraction with a denominator of 10 as an equivalent fraction with a denominator of 100, and use this technique to add two fractions with respective denominators 10 and 100.
Represent tenths and hundredths with models (ex: number line, decimal grids, tenth/hundredth circles).
Make connections between fractions with denominators of 10 and 100 on place value chart.
Make connections between the meaning of fractions and decimals.
Use models to verify equivalence (ex: use number line and show fraction on top and decimal notation on bottom) to express equivalence between fraction and decimal form (e.g. 3/10 = 0.3).
Use decimal notation in reference to the number line and decimal grid models to solve problems and communicate their thinking.
Any number, measure, or numerical expression can be represented in a number of ways that have the same value.
A decimal is another way to name a fraction.
Each fraction, mixed number, and decimal can be associated with a unique point on the number line.
Decimal numeration is just an extension of whole number numeration.
0.1 represents the same value as 1/10.
0.01 represents the same value as 1/100.
Step 2: Assessment
NC.4.NF.6 - CO - Howell - Jan. 17, 2023
NC.4.NF.6 - CO - Howell - Mar. 8, 2023
NC.4 Benchmark Review Practice - CO - Howell - Mar. 31, 2023
NC.4 - Cluster 6 Review - CO - Howell - Mar. 3, 2023
CFA - NF6, NF7 (Cluster 6)
Exit tickets - NF6 (Cluster 6)
The Candy Company - NF6 (Cluster 6)
Karen's Garden - NF6 (Cluster 6)
CFA - NF6 (Cluster 7)
Exit Ticket - NF6 (Cluster 7)
Step 3: Lesson Instructions
Anchor Chart
Graphic Organizer
Image: https://www.papertraildesign.com/wp-content/uploads/2018/07/KWL-chart-1.jpg
Frayer Model
Decimal Numbers
Tools 4 NC Teachers
Cluster 7 Lessons
Math Expressions - (Barnes and Hearne) - Standards Alignment
Motivation Math
Think Up! Math
Khan Academy - 4th Grade Math
Eureka Math/Engage NY Free Resources
Embarc Online (Eureka Math) -
Zearn Math - Online Support Practice for Eureka Math (Requires free account)
Khan Academy Eureka Math Grade 4
North Carolina Collaborative for Mathematics Learning - Grade 4 Instructional Framework
NCDPI Resources
Thinking Blocks - Word Problem Practice with Bar Diagrams
YouTube Videos
Fact Practice
