West Haven Public Schools
Unit Planning Organizer
Revised October 2010
Unit 1: Decimals
Pacing: 4 weeks
- How does a decimal point affect the value of a number?
- How is solving multi-step problems relevant in real life?
- What is an estimate?
- Digits to the right of a decimal point represent numbers less than one whole. Digits to the left of a decimal point represent numbers equal to or greater than one whole.
- A problem solving plan, based on different strategies, is essential for solving multi-step problems.
- An estimate is not the exact answer.
CT State Standards (includes West Haven’s “Priority” GLES’s in BOLD and “Supporting” Standards)
- 2.1 Understand that a variety of numerical representations can be used to describe quantitative relationships.
- 2.1.1 Locate and label whole numbers, fractions, decimals, and positive and negative integers on number lines, scales, coordinate grids (all four quadrants) and measurement tools.
- 2.1.2 Compare and order whole numbers, fractions, decimals, and positive and negative integers in context using number lines and scales.
- 2.1.3 Represent and compare whole numbers (to a billion) and decimals (to thousandths) in expanded notation, e.g., 75.654 = (7 x 10) + (5 x 1) + (6 x 0.1) + (5 x 0.01) + (4 x 0.001).
- 2.1.4 Represent chain multiplication, including powers of 10 in exponential and standard form, e.g., 5 x 5 x 5 x 5 = 5 = 125.
- 2.1.5 Factor composite numbers and express them as a product of primes using exponents.
- 2.1.6 Determine equivalent fraction, decimal, and percentage representations and choose among these forms to solve problems.
- 2.2 Use numbers and their properties to compute flexibly and fluently and to reasonably estimate measures and quantities.
- 2.2.8 Understand place value and patterns in place value when multiplying and dividing decimals by powers of 10.
- 2.2.9 Develop, describe and use strategies for solving, simplifying and estimating multiplications and division problems involving large numbers, decimals and powers of 10, e.g., 4.25 x 100 = 425 and 365,000 ÷ 6,000 = 365 ÷ 6, 365 ÷ 6 ≈ 360 ÷ 6 ≈ 60.
- 2.2.12 Add, subtract, multiply and divide by fractions and decimals in context.
- 2.2.13 Describe situations in writing that connect multiplying fractions to determining the fractional part of a set.
- 2.2.14 Examine the relationships between multiplication by a unit fraction and dividing by the fraction’s denominator, e.g., of $6 is the same as $6 ÷ 2, and use this to solve problems.
- 2.2.15 Use the inverse relationship between multiplications and division to make sense of procedures for multiplying and dividing fractions.
- 2.2.16 Understand and defend in writing the magnitude of the result of multiplication or division problems involving fractions or decimals.
- 2.2.17 Determine when an estimate is sufficient or when an exact answer is needed.
- 2.2.18 Estimate solutions to problems and justify the reasonableness of estimates in writing.
- 2.2.19 Write and solve multi-step problems in context involving addition, subtraction, multiplication, and division with whole numbers, fractions, decimals, money and simple percentages.
- 2.2.20 Understand and use divisibility rules, factors of composite numbers and powers of 10 to find products and quotients.
“Unwrapped” Concepts and Skills, and Bloom Levels (BL)
Concepts(Need to Know)
Skills(Able to Do)
Powers of 10 (Decimals)
Compare (whole numbers, fractions, decimals, positive and negative numbers)
Order on a number line/scale (whole numbers, fractions, decimals, positive and negative numbers)
Determine (equivalent fractions and decimals)
Choose (equivalent fractions and decimals)
Solve (problems with equivalent fractions and decimals)
Understand (place value and patterns with place value)
Multiply (decimals by powers of 10)
Divide (decimals by powers of 10)
Add (fractions and decimals)
Subtract (fractions and decimals)
Multiply (fractions and decimals)
Divide (fractions and decimals)
Estimate (solutions with problems of fractions and decimals)
Justify in writing (reasonableness of estimate)
Write (multi-step problems involving adding, subtracting, multiplying, and dividing whole numbers, fractions, decimals, and money)
Solve (multi-step problems with whole numbers, fractions, decimals, and money)
- Grade 6 Math Book
- Chapter 1 (section 1-1 to 1-9)
- Chapter 6, Lesson 6-6: only decimal percent equivalencies
- Grab & Go Files
- Guided Problem Solving
Suggested Research-based Effective Instructional Strategies:
- Place value charts
- Decimal division guide
Powers of 10