Unit 1 Equivalent forms of fractions, decimals,percent. Powers. Exponents. Prime Factorization, and Order of Operations
Unit 2 Ordering fractions, decimals, Integers. Rational Numbers, Number Line and Coordinate Plane
Readiness: 6.2(D), 6.11(A), 6.4(G) Supporting: 6.2(A), 6.2(B), 6.2(C) , 6.2(E)
Process Throughout: 7.1 A-G
6.2A Classify whole numbers, integers and rational numbers using a visual representation such as a Venn Diagram to describe relationships between sets of numbers [Supporting]
6.2B Identify a number, its opposite, and its absolute value [Supporting]
6.2C Locate, compare, and order integers and rational numbers using a number line [Supporting]
6.2D Order a set of rational numbers arising from mathematical and real-world contexts [Readiness]
6.2E Extend representations for division to include fraction notation such as a/b represents the same number as a ÷ b where b ≠ 0 [Supporting]
6.4E Represent ratios and percents with concrete models, fractions, and decimals [Supporting]
6.4F Represent benchmark fractions and percents such as 1%, 10%, 25%, 33 1/3%, and multiples of these values using 10 by 10 grids, strip diagrams, number lines, and numbers. [Supporting]
6.4G Generate equivalent forms of fractions, decimals, and percents using real-world problems, including problems that involve money [Readiness]
6.5C Use equivalent fractions, decimals, and percents to show equal parts of the same whole [Supporting]
6.11A Graph points in all four quadrants using ordered pairs of rational numbers [Readiness]
- Relationships between sets of numbers can be described by classifying the numbers.
- Equal parts of the same whole can be represented using equivalent forms of fractions, decimals, and percents.
- Numbers can be compared and ordered using a number line
- Fluently, add, subtract, multiply, and divide rational numbers.
- Operations with rational numbers is important for solving real world mathematical problems.
- Venn diagram, sets of numbers, integers, whole numbers, rational numbers, positive, negative, absolute value, opposite numbers.
- Divisor, dividend, quotient, factor, product, sum, difference, numerator, denominator, subsets, sets, real numbers, rational numbers, irrational numbers, whole numbers, integers, terminating decimals, non-terminating decimals, repeating decimal, order of operations.
- Bar notation, common denominator, least common denominator, like fractions, rational numbers, repeating decimal, terminating decimal, unlike fractions.
- equal to, greater than, greatest to least, least to greatest, less than.
How does a Venn Diagram work?
What happens when you add, subtract, multiply, and divide integers?
What does it mean to multiply and divide fractions and decimals?
How can you use a number line to locate, compare, and order rational numbers?
For Ordering Rational Numbers, do the numbers need to be in the same form?
Write about the mathematical processes: addition, subtraction, multiplication, and division when solving problems.
Explain what this statement means: “All whole numbers are also integers, but all integers are not whole numbers”
Explain how to order a set of numbers that includes at least one fraction, one percent, and one decimal number.
Write about the different ways you can relate ordering Rational Numbers to the Real World.