enVision Mathematics Topic 12
4th Grade; March – April (3 weeks); 3rd Trimester
Embedded Files
Topic Title(s):
Understand and Compare Decimals
Prepared Graduates:
MP1. Make sense of problems and persevere in solving them.
MP5. Use appropriate tools strategically.
MP7. Look for and make use of structure.
Standard(s):
1. Number and Quantity
3. Data, Statistics, and Probability
The highlighted evidence outcomes are the priority for all students, serving as the essential concepts and skills. It is recommended that the remaining evidence outcomes listed be addressed as time allows, representing the full breadth of the curriculum.
Students Can (Evidence Outcomes):
4.NF.C. Number & Operations—Fractions: Use decimal notation for fractions, and compare decimal fractions.
Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. (Students who can generate equivalent fractions can develop strategies for adding fractions with unlike denominators in general. But addition and subtraction with unlike denominators in general is not a requirement at this grade.) For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100. (CCSS: 4.NF.C.5)
Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram. (CCSS: 4.NF.C.6)
Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model. (CCSS: 4.NF.C.7)
4.MD.A. Measurement & Data: Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
Use the four operations to solve word problems involving money, including problems involving simple fractions or decimals. (CCSS: 4.MD.A.2)
Approach adding, subtracting, and comparing problems with fractions and decimal fractions by reasoning about their values before or instead of applying an algorithm. (MP1)
Draw fraction models to reason about and compute with decimal fractions. (MP5)
Make use of the structure of place value to express and compare decimal numbers in tenths and hundredths. (MP7)
Inquiry Questions
How does a fraction with a denominator of 10 or 100 relate to its decimal quantity?
How can visual models help to compare two decimal quantities?
How is locating a decimal on a number line similar to locating a fraction on a number line?
Coherence Connections
This expectation (4.NF.C) represents major work of the grade.
This expectation (4.MD.A) supports the major work of the grade.
This expectation connects to several ideas in Grade 4: (a) extending understanding of fraction equivalence and ordering, (b) building fractions from unit fractions, and (c) solving problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
In Grade 5, students understand the decimal place value system and use it with the four operations.
Academic Vocabulary & Language Expectations:
Decimal, decimal point, tenth, hundredth
Assessments:
Instructional Resources & Notes:
enVision Mathematics Topic 12
Additional enVision Mathematics Resources
Let's Investigate! Creature Lengths (TE) (supports Lessons 12-2, 12-3)
Additional Math Games: Decimals (additional materials and preparation may be required)
Tier 1 Intervention & Supports (i-Ready Tools for Instruction):
Tier 1 Intervention: Write Fractions as Decimals, Compare Decimals to Hundredths
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